af 
 
 5t 
 
COr iTISTRY 
 
 UNIV JFORNIA 
 
THE SILICATES 
 
 IN CHEMISTRY AND COMMERCE 
 
THE SILICATES 
 
 IN CHEMISTRY AND COMMERCE 
 
 INCLUDING THE EXPOSITION OF A HEXITE AND 
 
 PENTITE THEORY AND OF A STEREO-CHEMICAL 
 
 THEORY OF GENERAL APPLICATION 
 
 BY 
 
 DR. W. ASCH AND DR. D. ASCH 
 
 TRANSLATED, WITH CRITICAL NOTES AND SOME ADDITIONS. BY 
 
 ALFRED B. SEARLE 
 
 AUTHOR OF "THE NATURAL HISTORY OF CLAV" 
 
 ** BRITISH CLAYS, SHALES AND SANDS " 
 "CEMENT CONCRETE AND BRICKS" ETC. ETC. 
 
 
 ^, R. A R Y^s> 
 
 COU.LGE Oi ; 
 
 ,cn S , TY OF CM-tFORNtM 
 
 U W ' ^ 
 
 '- 
 
 NEW YORK 
 
 D. VAN NOSTRAND CO. 
 
 TWENTY-FIVE PARK PLACE 
 
 1914 
 
. 
 
 * 
 
 CONTENTS 
 
 INTKODUCTION 
 
 PAGE 
 
 The Chemistry of Carbon and Silicon . . . . . 1 
 
 SECTION I. 
 
 Historical Review of Existing Theories concerning the Constitution of 
 the Aluminosilicates and other Silicates . . 3 
 
 The theories of Berzelius, Smithson, and Dobereiner. The theories of 
 
 Wartha, Haushofer, Safarik. Tschermak's Felspar Theory. The concep- 
 tion of the acid nature of aluminosilicates by Bonsdorff, Scheerer, Ber- 
 zelius, Bodecker, Odling, Wartha, and Brauns. The acid nature of alumina 
 in aluminosilicates according to Vernadsky and the attempts made by 
 him to devise a general Chemical System of aluminosilicates. Modern 
 theories of aluminosilicates, including those of Rammelsberg, Groth, 
 Clarke, Tschermak, Sawtschenko, Goldschmidt, BombiccL Brauns, Mellor 
 and Holdcroft, Vernadsky, Pukall, Morozewicz and Dalkuhara. 
 
 SECTION II. 
 Critical Examination of Existing Theories concerning Alumino-silicates 
 
 Are the aluminosilicates salts of the silicic acids ? Are the alumino- 
 silicates double salts ? Are the aluminosilicates molecular combinations ? 
 Are the aluminosilicates isomorphous mixtures ? Are the alumino- 
 silicates complex acids or the salts of such acids ? The chemical nature 
 of the complex acids and their salts as shown by chemical and physio- 
 chemical investigations. Ostwald's definition of double salts and com- 
 plexes and the behaviour of silico-molybdates and sulpho-molybdates in 
 aqueous solutions. The course of reaction in the formation of complex 
 acids according to Blomstrand and Friedheim. The disadvantages of Blom- 
 strand and Friedheim's theories. The facts for and against the complex 
 nature of the aluminosilicates. The results which follow from the various 
 theories concerning aluminosilicates. Clarke's formulas for alumino- 
 silicates. The constitution of Phakelite according to Groth, Rammels- 
 berg, Thugutt, and Vernadsky. The constitution of Potash Felspar 
 according to Tschermak, Groth, Clarke, Thugutt, Rammelsberg, Wartha, 
 Vernadsky, Zulkowski, Haushofer and Mellor and Holdcroft. The results 
 of the foregoing critical examination and the possibility that the opposi- 
 tion of some hypotheses to the complex nature of the aluminosilicates is 
 only superficial. 
 
 SECTION III. 
 
 A Hypothesis concerning the Bonding of the Atoms in Aluminosilicates 
 and Allied Compounds . . . .. . .30 
 
 Two new radicals Hexite and Pentite. A structural chemical representa- 
 tion of the complex aluminosilicic acids and their anhydrides based on 
 the use of hexite and pentite radicals of silicon and aluminium. 
 
viii CONTENTS 
 
 PAGE 
 
 The Consequences of the "Hexite-Pentite Theory," and the Facts . 38 
 I. The Reactions during Double Decomposition . . 38 
 
 Lemberg's researches. 
 
 II. The Genetic Relationship between the various Aluminosilicates 40 
 
 The researches of Lemberg, Thugutt, and Friedel. The Pseudomor- 
 phous processes. Table showing the changes observable in alumino- 
 silicates in nature. 
 
 III. The Possibility of a Chemical System of Aluminosilicates 47 
 
 The Clintonite group. The Mica group. The Scapolite group. The 
 Orthochlorite group. The Tourmaline group. The Felspars. 
 
 IV. The Variable Chemical Behaviour of part of the Aluminium in 
 Kaolin, Nepheline, and in the Epidotes . . 51 
 
 The variable chemical behaviour of part of the hydroxyl in the Topazes 
 and of the aluminium in the Granites. 
 
 V. The Minimum Molecular Weight of Aluminosilicates . 56 
 
 The minimum molecular weight of aluminosilicate in connection with 
 Lemberg's researches. The minimum molecular weight in connection 
 with Thugutt's work on potash, felspar, the mesolites, and the sodalites. 
 
 VI. The Constitution of Andesite . . ,- . . 62 
 
 VII. The Possibility of Isomerism . . . 63 
 
 Basic Isomerism. Ring Isomerism. Isomerism in potash and soda 
 felspars. Two isomeric sodalites. 
 
 VIII. Water of Crystallisation and of Constitution; Basic and Acid 
 
 Water . . . . . 65 
 
 The structural formulae of the Zeolites : Laumontite, Thomsonite, 
 Hydronephelite, Heulandite, Epistilbite, Stilbite, Faujasite, Scoleszites, 
 Foresite and Natrolite, etc., according to Clarke, Friedel, Mallard, 
 Rhine, Damour, Sommerfeldt, van Bemmelen, Doelter, Henry, and 
 others. 
 
 IX. Prognoses . . . . 73 
 
 Base Prognoses. Ring Prognoses. The theoretically possible Arden- 
 nites. The theoretically possible Sapphirines. The structure of How- 
 lite, Avasite, Milarite, Ptiolite, and Mordennite. 
 
 X. The Constitution of the Complexes of Molybdenum and Tungsten 78 
 
 a- and /3-Complexes of Molybdenum and Tungsten. Evidence in sup- 
 port of the structural chemical representation of molybdic and tungstic 
 complexes. The results of researches by Friedheim and his associates. 
 The action of molybdic acid on various vanadates and of vanadates on 
 molybdates. The action of molybdic acid on various phosphates. 
 The action of molybdic acid on arsenates. The genetic relationship 
 between the various vanadinomolybdates. The most stable types of 
 vanadinomolybdates and aluminosilicates. The genetic relationship 
 between a- and /S-phospho-molybdo complexes. The genetic relation- 
 ship between the arseno-molybdates. The different behaviour of the 
 compounds 2 R 2 O V 2 O 5 4 WO 3 and 4 R 2 O 3 V 2 O 6 12 WO 3 to- 
 wards acids in the light of Friedheim's and the Hexite-Pentite theories. 
 The constitution of "the Silicotungstates. The isomeric silicotungstic 
 acids and silicotungstates. The dimorphism of the potash salt K 2 O 
 2 H 2 O SiO 2 12 WO 9 7 H 2 O in the light of the Hexite-Pentite theory. 
 
CONTENTS ix 
 
 PAGE 
 
 Systematic Review of a Series of /3-Complexes of Molybdenum and 
 
 Tungsten . . . . . ... 96 
 
 Aluminomolybdates R 2 O A1 2 O 3 10 MoO 3 . Borotungstates 2 R 2 O 
 B 2 O 3 10 WO 8 . Silicotungstates 4 R 2 O SiO 2 10 WO 3 . Platino- 
 molybdates 4 R 2 O PtO, 10 MoO 3 . Platinotungstates 4 R 2 O PtO 2 
 10 WO 3 . Alummomolybdates 3 R 2 O - A1 2 O 3 . 12 MoO 3 . Chromomolyb- 
 dates 3 R 2 O Cr 2 O 3 12 MoO,. Borotungstates 4 R 2 O B,,O 3 . 12 WO 3 
 Silicomolybrlates 2 R 2 O SiO, 12 MoO s . Silicomolybdates 4 R 2 
 SiO 2 12 MoO 3 . Silicotungstates 4 R 2 O SiO 2 12 WO 8 . Zirkono- 
 molybdates 2 R 2 O ZrO 2 12 MoO,. Titanomolybdates 2 R 2 O TiO 2 
 12 MoO 3 . Phosphotungstates 2 R 2 O P 2 O 5 12 WO 3 . lodomolybdates 
 5 R 2 O I 2 O 7 12 MoO 3 . Phosphomolybdates R 2 O* P 2 O 5 15 MoO,. 
 Manganomolybdates o R 2 O Mn O 3 16 MoO 3 . Phosphomolybdates 
 3 R 2 O P O 5 16 MoO*. Phosphotungstates 6 R O P 2 O 5 16 WO 3 . 
 Phosphomolybdates 3 R 2 O P ? O 5 18 MoO E . Phosphotungstates 6 R 2 6- 
 P 2 O 5 18 WO 3 . Arsenomolybdates 6 R 2 6 As 2 O 5 18 MoO 3 . Phos- 
 phomolybdates 7 R 2 O P 2 O 5 20 MoO 3 . Phosphotungstates 6 R 2 O 
 P 2 O 5 20 WO 3 . Arsenomolybdates 3 R 2 O AsoO 5 20 MoO 3 . Phos- 
 phomolybdates 7 RoO PO, 22 WO 3 . Phosphomolybdates 6 R 2 O 
 Pj,O 8 24 MoO s . Phosphotungstates 3 R 2 O P 2 O 5 - 24 WO a . 
 
 XI. The Constitution of Clays . . ... 102 
 
 The theoretically possible aluminosilicic acids. Hydrates and An- 
 hydrides. Isomeric aluminosilicic acids. Water of crystallisation and 
 of constitution. The minerals of the Allophane group as examples of 
 hydro-aluminosilicates. The water of crystallisation and of constitu- 
 tion in the minerals of the Allophane group. The maximum of water 
 of constitution in minerals of the Allophane group. Formulation of a 
 series of analyses of washed clays. The acid character of the clays shown 
 by their chemical properties. The unitary nature of clays according to 
 C. Mene. The behaviour of clays towards concentrated sulphuric acid. 
 " Clay substance." The constitution of clays according to Forch- 
 hammer. The value of " rational analyses " according to Mellor and 
 Holdcroft, Seger, Brongniart, and Malaguti. Definition of " disdyna- 
 mtsed " and " dynamised " substances. Vitrification of clays. Second- 
 ary valencies of oxygen in clays. Effect of heat on clay, according to 
 Rieke, and Mellor and Holdcroft. Polymerisation of Alumina. The 
 chemical changes occurring in the burning of clays. Isomerism and 
 Polymerism of Kaolin. The H.P. theory and the Facts. Pukall's re- 
 searches on Kaolin. The behaviour of Pukall's sodium s-kaolinates to- 
 wards carbonic acid and towards hydrochloric acid. Mellor and Hold- 
 croft's researches on Kaolin. The melting point of clays and other 
 aluminosilicates. Relation between Melting Point and Composition 
 of Clays. Mineralisers. Plasticity. A new theory of plasticity. The 
 Colour of Bricks. 
 
 XII. Ultramarines . . . < . . . . 136 
 
 Historical Review. A new theory of the ultramarines. Two kinds of 
 hydroxyls in hydro-aluminosilicates of the type H 12 H 4 (Si Al 
 
 Al Si), viz. a and s-hydroxyls. The replaceability of hydrogen in the 
 a-hydroxyls by acid residues. The curious property of the compounds 
 
 Na 8 H 4 (Si Al Al Si) discovered by Silber. The ultramarines as 
 A- and 2-aluminosilicates. The role of the group S.,O 7 in ultra- 
 marines. Sulphonates. The Sulphonates as Chromophores. The 
 changes in the intensity of colour (Schiitz). The relationship between 
 colour and constitution (R. Nietzki and others). The Hexite-Pentite 
 Theory of Ultramarines and the facts. Theoretically possible ultra- 
 marines. New formulse calculated from analyses of ultramarines. 
 Aluminosilicates from which ultramarine cannot be made. Ultra- 
 marines of different colours, and their constitutions. Isomeric ultra- 
 marines. The behaviour of ultramarines towards salt solutions. The 
 behaviour of ultramarines at high temperatures. The Sulphonate groups 
 
 A 2 
 
: CONTENTS 
 
 PAGE 
 
 and the colour of ultramarines. The behaviour of ultramarine towards 
 acids. The maximum contents of base in ultramarines. The minimum 
 molecular weight of ultramarine compounds. The minimum molecular 
 weight of " Ultramarine blue," according to Guckelberger. The ultra- 
 marines as definite, single chemical compounds. Analogy between 
 ultramarines and sodalites, 
 
 XIII. A New Theory of Hydraulic Binding Materials and particularly 
 
 of Portland Cements . . . . . . 153 
 
 Critical and Historical review of existing theories. Vicat's theory. 
 Fuchs' theory. Winkler's theory. Feichtinger's theory. The hypo- 
 theses respecting free lime in Portland Cement. The influence of 
 Fuchs' theory on Heldt, on Chatoney and Rivot, and on the investiga- 
 tions made in order to ascertain the constitution of the Portland cements. 
 The theories of Le Chatelier, Newberry Bros., Kosmann, Jex, Erd- 
 menger, Hardt, Schonaich-Carolath, Schott, Zsigmondy, Meyer- 
 Mahlstatt, and Rohland. The microscopical examination of clinker. 
 Portland cements as definite, single chemical compounds. The chemical 
 constitution of Portland cements. The role of the s-hydroxyls in the 
 
 compound H 20 (Si Al Al Si) in the synthesis of Portland cements. 
 Hydro- and anhydro-basic side-chains. The course of reaction in the 
 formation of Portland cements and the influence of the time and tem- 
 perature of the burning. Sintered and fused cements. The changes 
 which take place during the granulation of slags and the production of 
 slag-cements. Lunge's research on granulated and non-granulated 
 slags. Allen and Shepherd's criticisms. The constitution of slags. A 
 new theory of hardening. The new theory and the facts. The role of 
 " soluble " silica in the hardening of cements. The causes of hardening 
 of Portland cements. Zulkowski's theory of hardening. The conse- 
 quences of the new theory of Portland cements and the facts. New 
 formulae calculated from analyses of Portland cements. Stoichiometric 
 representation of the absorption of water by cement. Regular increase 
 of water-content on hydration of cements. The results of Feichtinger's 
 researches on certain hydraulites : silicate-water, calcium hydroxide 
 water, and water of crystallisation. Feichtinger's researches as evidence 
 for the non-existence of free lime in Portland cements. The possibility 
 of regenerating certain hardened cements and Feichtinger's researches 
 thereon. Hydration and evolution of heat. Ostwald's thermo-chemical 
 investigations on cements. The transition of primary types into 
 secondary ones in Portland cements and Feichtinger's researches thereon. 
 The separation of lime in hydraulites in accordance with certain stoichio- 
 metrical laws. The hardening power of hydraulites after removal of 
 definite proportions of the lime. The maximum contents of silicate- 
 water and calcium hydroxide water. The second setting of previously 
 hardened masses which have been re-ground. The cause of " soluble 
 silica " in hydraulites. The behaviour of hydraulites towards strong 
 acids. The possibility of isomerism in cements. Prognoses of the pro- 
 portions of chalk and clay in the Taw mixture. A new solution of the 
 Sea water problem. The value of cements which contain no a-hydroxyls, 
 especially for maritime work. Prognoses of ultramarine cements. 
 
 XIV. A New Theory of the Porcelain Cements as used for Dental 
 Fillings . . . . . ... 19^ 
 
 The first porcelain cement (Fletcher's). The use of porcelain cements 
 in dentistry (Morgenstern). The chemical composition of porcelain 
 cements. The properties of an ideal dental stopping (Miller). The 
 value of a scientifically-founded theory of porcelain cements for the pro- 
 duction of dental stoppings. Laboratory tests on porcelain cements. 
 The superiority of porcelain cements over ivory and natural dental 
 enamel so far as resistance to acids is concerned, and the use of this in 
 solving the problems of the course of reaction in the hardening of such 
 cements. Critical review of the various theories of hardening of porce- 
 lain cements. The chief cause of failure of porcelain cements according 
 
CONTENTS xi 
 
 PAGE 
 
 to Jung and Morgenstern. Kulka's, Rawitzer and Apfelstadt's theories 
 of hardening. Are porcelain cements single, definite chemical com- 
 pounds ? The composition of porcelain cements as shown by Patent 
 Specifications. A physio-chemical theory of the hardening of porcelain 
 cements. The chemical constitution of porcelain cements. The role of 
 the s-hydrogen in hydro-aluminosilicates in the^ synthesis of porcelain 
 cements. The difference between Portland and porcelain cements. 
 The acido- and baso-philism of aluminosilicates. The acidophilism of 
 the a- and s-hydrogen. The different binding power of fluorine in topazes. 
 The acido- and baso-philism of the artificial zeolites studied by Gans. 
 The amphochromatophilism of Kaolin (Hundeshagen). The acido- and 
 basophilism of kaolin in the production of colour lakes. The acido- 
 and baso-philism of kaolin as deduced from the constitution of the ultra- 
 marines. The physico-chemical reactions during the hardening of 
 porcelain cements. The A- and S-porcelain cements. The course of 
 hydration. The course of condensation. The constitution of the 
 hardened A- and S-cements. The lamellar hardening of dental cements. 
 The consequences of the theory and the facts. Calculation of formulae 
 from analyses of porcelain cements. The absorption of water during 
 hardening must be in stoichiometric proportions. Prognoses of silicate, 
 basic and crystallisation water in porcelain cements. The progressive 
 hydration of porcelain cements. Factors which affect the time of 
 hardening of porcelain cements. The high resistance of porcelain 
 cements to acids explained by the new theory of hardening. The toxic 
 action of A-cements on the dental nerve-substance (pulpa). The non- 
 separation of base from A-cements by the cement acid. Two kinds of 
 zinc phosphate cements : A- and S-zinc phosphate cements. Miller's and 
 Black's physiologico-chemical experiences with A- and S-zinc phosphate 
 cements and the consequence deducible therefrom. The hardened A- 
 cements as " slumbering volcanoes." Cause of neurotropy found in 
 alumino-phosphoric acids and Ehrlich's theory. Definition of neuro- 
 tropy. The facts in favour of Ehrlich's theory of the chemical nature 
 of toxines. The chemical relationship between nerve-fibres and alumino- 
 phosphoric acids. Mordanting animal fibres. Siem's and Dollken's 
 researches on aluminous poisons. Does the acid reaction of an aqueous 
 solution of a metallic salt imply hydrolysis, i.e. the presence of a free 
 acid ? The proof of non-hydrolysis of a series of solutions with metallic 
 salts with an acid reaction by means of conductivity determinations 
 and spectrum analysis. Practical experiences of the physiologico-chemi- 
 cal action of A-cements. Researches made with a view to reducing the 
 poisonous nature of A-porcelain cements by empirical rules and the 
 value of such rules. Pawels' direct proof of the poisonous action of 
 strong acids on the pulpa by means of experiments on animals. Tech- 
 nical demand for improvements in A-cements. Dental decay as the 
 cause of diseases of other organs. The proper method of reducing the 
 poisonous action of the porcelain cements containing strong acids. 
 Practical physiologico-chemical experience of S-cements. 
 
 XV. A New Theory of Glass, Glazes, and Porcelain . . . 236 
 
 The chemical constitution of glasses. Isomerism in glasses. Explanation 
 of cause of variable depression of the zero point in thermometers made 
 of certain glasses. y com pl exes as glasses and their useful properties. 
 The behaviour of glasses towards water and acids. Devitrification. 
 The chemical constitution of coloured glasses. Witt's theory. The 
 H.P. theory and the facts. Calculation of formulae from a series of 
 analyses of glasses, glazes, and porcelains. 
 
 XVI. The Hexite-Pentite Theory as a General Theory of Chemical 
 Compounds . . . . . . 255 
 
 A. The H.P. Theory and the Composition of the Metal-ammonias and 
 
 allied Chemical Compounds . . . . . . 256 
 
 The disadvantages of existing structural formulae of the metal-ammonias, 
 cyanides, etc., according to Kohlschiitter. Werner's theory of molecular 
 compounds. 
 
xii CONTENTS 
 
 PAGE 
 
 B. The H.P. Theory and "Water of Crystallisation" . . . 259 
 
 The valency of oxygen. The molecular weight of water. Water-hexite 
 arid pentite. Hydro-aluminosilicates. Hydro-f'errosulphates. The 
 water of crystallisation in alums. The water of crystallisation in chromo- 
 sulphuric acids. 
 
 C. The H.P. Theory and the Dissociation Hypothesis of Arrhenius . 266 
 
 D. The H.P. Theory and the Constitution of Simple Acids . . 268 
 
 Salts offthel'acids H 2 - H 4 (PO 3 ) fi , H H 4 (PO 3 ) S , and H 12 H,(PO 3 ) 16 . 
 Salts of the general formula 2 Pv"O 3 Na 2 O 3 P 2 O 5 aq. Hexite for- 
 mation of niobic and tantalic acid. Hexite and Pentite formation of 
 tungstic acid. Hexite and Pentite formation of the oxygen free acids. 
 
 E. The H.P. Theory and the Carbon Compounds . . . 271 
 
 Carbon and Silicon Hexites and Pentites devoid of oxygen. Chromium 
 hexites. 
 
 F. The H.P. Theory and the Constitution of the Chemical Atoms : 
 
 The Archid Hypothesis . . .. . . 273 
 
 The consequences of the Archid Hypothesis and the Facts. 
 
 (a) The Valencies of the chemical atoms. Atoms with constant and 
 
 variable valencies. The valency of nitrogen. The valency of 
 
 carbon. The minor valencies of carbon. 
 (6) Homologous series of atoms, 
 (c) The cause of radio-activity and the work of the alchemists. 
 
 SECTION IV. 
 
 The Conversion of the H.P. Theory into a Stereo-chemical Theory and 
 the Combination of the latter with the Modern Theory of the Structure 
 of Crystals ... . .281 
 
 (a) Critical Review of Existing Stereo-chemical Theories . . 281 
 
 The Hypotheses of van't Hoff and Le Bel. The stereo-chemical theories 
 of Wernerv-and Hantzsch, Schrauf, Fock, Groth, Hunt, Tutton, Herz, 
 Doelter and Vufriik, Vogt, van't Hoft', and Becke. 
 
 (6) The Modern Theory of the Structure of Crystals and the Possi- 
 bility of Combinations of the same with Structural Chemical 
 Theories ..... . 285 
 
 (c) Stereo-hexites and pentites, or a Stereo-chemical Theory . . 286 
 
 (d) The Hexite-Pentite Law . . . . . 289 
 
 (e) Combination of the Stereo-Hexite-Pentite Theory with Modern 
 
 Theory of Structure of Crystals . . . 289 
 
 (/) The Stereo-Hexite-Pentite Theory and the Facts . . 290 
 
 A. Dimorphism and Polymorphism and Hauy's Law r . . 290 
 
 The cause of dimorphism in compounds with the empirical formula FeS 2 . 
 Discussion between Berthollet and Hauy. Mitscherlich on Hauy's law. 
 Geuther's representation of the dimorphism of CaCO 3 . Lehmann on 
 Hauy's law. 
 
 B. Isomorphism in the Light of the S. H.P. Theory . . . 294 
 
 The geometric constants of isomorphous compounds. The isomorphism 
 of minerals of the Felspar group and Tschermak's theory. Schuster's 
 optical examination of plagioclase. The structure of albite and anorthite 
 
CONTENTS xiii 
 
 PAGE 
 
 according to Clarke and Groth. Isomorphism and the theories of Jannasch 
 and Clarke. The structure of felspars in the light of the H.P. theory. 
 The cause of isomorphism in various groups of silicates according to 
 Retgers. The influence of Tschermak's felspar theory on the structural 
 representation of chemical compounds. Fock's mixed crystals of the 
 ammonium salt (NH 4 ) 2 O S 2 O 5 H H 2 O with salts of the general formula 
 R"O S 2 O 5 i H 2 O. Rammelsberg's protest against the general applica- 
 tion of Tschermak's felspar theory. The theories of isomorphous mixtures 
 and the facts opposed to it. Retgers' attempt to produce mixed crystals 
 from the salts KH 2 PO 4 and (NH 4 )H 2 PO 4 . Tammann's researches on 
 hexa- penta- and the 16-phosphoric acids. Isomorphism of minerals of 
 the epidote group. Sehultze's research on the production of mixed crystals 
 from PbMoO 4 and PbCrO 4 . Berthollet's views and the theory of isomor- 
 phous mixtures. The discussion between Proust and Berthollet and the 
 result of modern work. 
 
 C. The Dependence of the Geometric Constants on the Side-chains . 305 
 
 The influence of the water of crystallisation in the form of crystals. The 
 crystalline forms of urano-acetate according to Rammelsberg and to the 
 S.H.P. Theory. Muthmann and Becke's topical parameter and the dis- 
 tance of molecules from each other in a crystal. The influence of the side- 
 chains on the crystalline form of benzene derivatives, according to Groth. 
 
 The Structural Formula of Benzene according to the S.H.P. Theory . 309 
 
 The unequal values of the six hydrogen atoms in benzene. Ladenburg's 
 views on the disadvantages of Kekule"'s formula for benzene. Glaus' 
 formula for benzene. Armstrong's and von Baeyer's centric formula for 
 benzene. The stability of benzene and hydrated benzenes in the light of 
 the H.P. theory. The relationship between the compounds of the aromatic 
 and aliphatic series. 
 
 D. The Optical Properties of Crystals and the S.H.P. Theory . . 312 
 
 The relationship between crystalline forms and physical properties. 
 Enantiomorphic crystals. Abnormal optical behaviour of the alums. The 
 cause of circular polarisation in some crystals according to Groth. The 
 production of circular polarisation by means of sheets of mica (Reusch). 
 The dependence of circular polarisation on chemical constitution. The 
 circular polarisation of organic compounds with asymmetric carbon atoms 
 according to van't Hoff and Le Bel. The optical behaviour of pure and 
 mixed alums according to Brauns. Sohncke's explanation of the cause of 
 circular polarisation. The cause of circular polarisation in the light of the 
 S.H.P. Theory. 
 
 E. The Dependence of the Geometrical Constants on the Temperature 316 
 
 Formation of calcite from aragonite, according to Rose and Klein. The 
 change in crystalline form on increase of temperature, according to Leh- 
 mann. 
 
 F. Molecular Volumes and the S.H.P. Theory . . 317 
 
 Summary and Conclusions . ... \ . 318 
 
 The H.P. Theory and its critics. The value of the H.P. Theory. The 
 value of the S.H.P. Theory. The aim of Science. 
 
 Bibliography of references mentioned in text . . . . . 328 
 
 Appendix . . . . . . . 340 
 
 Formulae and Analyses . ; v . . . 341 
 
 Formulse calculated from Lemberg's experiments. Calculation of Formu- 
 lae of the Topazes. Calculation of Formulae of the Epidotes. Calculation of 
 
xiv CONTENTS 
 
 FAGE 
 
 Formulae of the Granites. Calculation of Formulae of the Mesolites. Cal- 
 culation of Formulae of the Clintonites. Calculation of Formulae of the 
 Micas. Calculation of Formulae of the Scapolites. Calculation of For- 
 mulae of the Orthochlorites. Calculation of Formulae of the Tourmalines. 
 Calculation of Formulae of the Felspars. Calculation of Formulae of Clays. 
 Behaviour of a Series of Dried Clays towards Sulphuric acid (Bischof). 
 Calculation of Formulae from analyses of Ultramarines. Calculation of 
 Formulae from analyses of Portland cements. 
 
 Bibliography of references in Appendix . . . . 437 
 
PREFACE 
 
 IN the year 1903, the Faculty of Philosophy in the University of 
 Gottingen proposed the following thesis in connection with the 
 Benek Bequest : 
 
 A critical examination, based on experimental evidence, is to be made 
 of such chemical compounds as cannot be satisfactorily explained by the 
 usual means. This examination should also take into special consider- 
 ation the extent to which the introduction of molecular additions is of 
 importance in the formation of such compounds, and whether it is possible 
 to devise a complete systematic arrangement of such compounds. 
 
 Under the motto : 
 
 " HdvTct (0eo?) fjiTp(t) Kai apiOfjLw KOI (rraOjuLw &eTae " 
 
 the authors submitted a thesis which forms part of the present volume, 
 viz. pp. 1 to 102 and the Appendix. The solution of the problem was 
 admittedly incomplete, inasmuch as only a single branch of the subject 
 the silicates was taken into consideration. For this reason the 
 Faculty did not grant the first prize to this thesis, but readily granted 
 the second prize " in recognition of fruitful labours leading to a single 
 theory covering a very important group of complex compounds." 
 
 In this way an established theory the Hexite-Pentite Theory 
 was devised for one highly important group of complex compounds 
 the silicates. 
 
 With this theory in mind, it was only natural to apply it to a series 
 of silicates of technical and commercial value, such as the ultramarines, 
 Portland, slag, dental and other siliceous cements, glass, glazes, porce- 
 lain, etc., in order, if possible, to elucidate their constitution. This 
 has been effected since the original thesis was first written, and the 
 results are published in the following pages. 
 
 Commencing with the assumption that Nature has formed all sub- 
 stances in accordance with monistic laws, the Hexite-Pentite Theory 
 has also been applied to the study of the structure of other complexes 
 as well as to that of solutions of the simpler acids, etc., and it has also 
 been employed, in connection with the constitution of organic com- 
 pounds, to form a bridge between organic and inorganic chemistry. 
 
 XV 
 
xvi PREFACE 
 
 In order to take into consideration the positions which atoms occupy 
 in space (a factor which is omitted from most theories of chemical 
 structure) the Hexite-Pentite Theory has also been developed, in 
 combination with the modern theory of the structure of crystals, into 
 a stereo-chemical theory. 
 
 The German edition of this work was published late in 1911, but for 
 some unexplained reason almost every reviewer of that edition failed 
 to appreciate the advantages which may be derived from this theory, 
 and with a few exceptions they have overlooked the fact that the 
 Hexite-Pentite Theory as distinct from older ones is concerned 
 especially with inorganic chemistry, and that it has the following 
 characteristics : 
 
 The Hexite-Pentite Theory is a general and unitary theory ; it is 
 based on a single truth i.e. on a natural law found by inductive 
 reasoning ; it leads par excellence to prognoses, and therefore permits 
 of deductive reasoning the combination being a clear sign of a true 
 theory and it is, in addition, based on the methods of the most 
 famous classical chemists. Moreover, it comprehends the best of the 
 existing theories or explains their deficiencies, and is, above all, a 
 definitely stereo-chemical theory. 
 
 To enter into a complete reply to the various critics would occupy 
 too much space in the present volume, and as the publication of the 
 present edition has occupied more than a year on account of the 
 additional matter required much of which is due to the kind sug- 
 gestions of the translator the authors have decided to publish the 
 greater part of their reply to critics in a separate volume to be issued 
 shortly under the title " The Structure of Matter." At the same time it 
 will be noted that the chief criticisms have been met in the present 
 edition, though the following are conveniently noted in the Preface 
 rather than in the text. 
 
 A number of critics adopt the remarkable view that the compre- 
 hensiveness and unitary nature of the Hexite-Pentite Theory are a 
 disadvantage ! This is specially the case with C. H. Desch 736 , 
 Allen and Shepherd 737 , C. Doelter (" Handb. d. Mineralchemie "). Yet 
 comprehensiveness and unitary nature are essential characteristics of 
 any general theory. No less an authority than Berthollet has declared 
 that the advantage of a general over a special theory is that the former 
 has certain characteristics, which are precisely the ones possessed by 
 the Hexite-Pentite Theory. In Gmellin-Kraut's " Handb uch " and other 
 classical text-books it is admitted that the object of investigation is 
 to produce a complete theory of chemistry from which all natural laws 
 affecting chemical reactions can be predicted or explained. In short, 
 
PREFACE 
 
 xvn 
 
 the comprehensiveness of the Hexite-Pentite Theory is a positive 
 advantage and an indication of its truth. 
 
 The earliest opponents to a unitary nature or monism in chemistry 
 were the French investigators Laurent and Gerhardt. Mendelejeff and 
 his associates, on the contrary, are in favour of a monistic theory. 
 Blomstrand, Ostwald, Nernst, Markownikoff and many other well- 
 known chemists have often pointed out the fallacy of the conception 
 of the existence of molecular compounds, and these scientists are 
 therefore in favour of a unitary view. One of the reasons why a portion 
 of the present work was granted a prize by the Faculty of the Univer- 
 sity of Gottingen was that in it the investigation leads to a unitary 
 conception of the silicates. 
 
 One of the most valuable features of the Hexite-Pentite Theory is 
 that it effectively disposes of the necessity for any dualistic conception 
 of matter. 
 
 The classification of matter into chemical compounds and the so- 
 called isomorphous mixtures or solid solutions, as is so commonly done 
 at the present time, leads to the conclusion that there are some excep- 
 tions to natural laws. Yet when an exception is found to a natural 
 law this is only an indication that the terms in which the law is ex- 
 pressed must be altered so that it may include the apparent exception. 
 Where this cannot be done the " law " must be regarded as imperfectly 
 understood. As Spinoza has remarked, " No sane man will believe 
 that Nature is limited in her powers and that natural laws are of limited 
 and not of general application." The correctness of Spinoza's teaching 
 is clearly shown by the small results which have been obtained from 
 the application of the dualistic or pluralistic theory of matter, i.e. by 
 regarding certain complex compounds as mixtures. Thus, W. J. 
 Miiller and J. Konigsberger 779 , in studying the work of Day and his 
 associates in Washington and of Doelter in Vienna, point out that 
 notwithstanding the skill and expense involved, " the results of these 
 investigations do not appear to be commensurate with the labour 
 involved." Miiller and Konigsberger attribute this to the absence of 
 analogy between the materials investigated and those used in other 
 branches of chemistry, but the Hexite-Pentite Theory shows that there 
 is an abundance of analogies, and that the true reason for the paucity 
 of results of theoretical value from the Washington and Vienna Insti- 
 tutes is to be found in the erroneous pluralistic view of matter which 
 is held by those in charge. 
 
 The constitution of Portland cement has been the subject of investi- 
 gation for nearly a century, without any definitely satisfactory result. 
 This is due to precisely the same cause the persistent maintenance 
 
xviii PREFACE 
 
 of a pluralistic or mixture theory and the neglect or repression of all 
 information or suggestions to the contrary. The attitude of many 
 supporters of the mixture theories of Portland cements is far from 
 scientific, and notwithstanding the abundance of proof of a chemical 
 nature in favour of the Hexite-Pentite Theory, those in favour of a 
 pluralistic conception of chemical substances still pin their faith to the 
 very slender microscopical evidence on which their theories are based. 
 
 One extraordinary " result " of following out the mixture theory in 
 the case of Portland cement is in the experience of two French engineers 
 Chatony and Rivot (see p. 156 in the text) at whose instance 
 extensive maritime works were constructed. The panic amongst 
 French and other constructional engineers which resulted from the 
 destruction of these structures can better be imagined than described ! 
 
 The pluralistic conception of chemical substances has also been the 
 cause of a number of serious accidents and bad results in medical 
 chemistry. Thus, in the opinion of the authors, the pathology of many 
 diseases such as diabetes, cancer, tuberculosis, etc., must remain very 
 incomplete, and the nature and causes of these complaints must be 
 completely misunderstood, so long as the pluralistic conception of 
 matter is maintained. An interesting example of this is found in the 
 toxic action of certain dental stoppings which are fully described in 
 the following pages. So firmly has the mixture theory been held that 
 the opposition to these toxic cements was almost devoid of results, and 
 this theory still exerts a considerable amount of influence, notwith- 
 standing the fact that the authors have not merely shown the causes 
 of the toxic action, but the way to prevent it, and have placed perfectly 
 satisfactory and non-poisonous dental cements, made in accordance 
 with the Hexite-Pentite Theory, on the market. The continued 
 maintenance of the pluralistic conception of matter in medicine 
 is, therefore, even more dangerous than it is in industry. 
 
 Among the various critics, it is pleasing to turn from those who have 
 reviewed the first edition of this book in a careless or partial manner 
 to greater scientists like Wilhelm Ostwald 780 , who states, " The 
 authors commenced with an explanation of the constitution of the 
 clays and allied substances, but passed on from one branch of chemistry 
 to another until they have eventually been able to illuminate an 
 astonishingly large number of different facts, all of which are regarded 
 from the same point of view." That so able a chemist as Ostwald should 
 describe the present work in such glowing terms is particularly gratify- 
 ing to the authors, more especially as Ostwald had the opportunity, as 
 a student of Lemberg's, of knowing the remarkable pains which 
 Lemberg took in the prosecution of his investigations studies which 
 
PREFACE 
 
 xix 
 
 have proved invaluable as a source of experimental evidence with 
 which the Hexite-Pentite Theory is in complete agreement. Ostwald 
 even goes so far as to state that " as an observer for many years of the 
 production and development of many scientific theories and works I 
 cannot avoid declaring the present one as most unusual. Let us give 
 a hearty welcome to these young and energetic investigators and assure 
 them that the further results of their work will be watched with the 
 greatest interest." 
 
 In this connection it is interesting to recall the regret which Landolt 
 expressed that his friend Kekule did not live long enough to see this 
 new triumph of his Benzene Theory, for the Hexite-Pentite Theory 
 may be very definitely regarded as an extension and development of 
 the Dalton-Kekule teaching. In a letter, Landolt also expressed his 
 definite opinion that, sooner or later, the Hexite-Pentite Theory must 
 be taken up by chemists in every branch of the subject. The remark- 
 able results which followed the synthesis of various scents, anaesthetics, 
 dyes, etc. all of which are primarily due to the Kekule Theory are 
 strong evidence in favour of the Hexite-Pentite Theory, for Kekule's 
 theory is essentially a part of the Hexite-Pentite Theory. 
 
 Ehrlich's Side-chain Theory is, in a similar manner, another part 
 of the Hexite-Pentite Theory, and the enormous value of Ehrlich's 
 theory in physiological chemistry is already recognised by specialists 
 in this subject. . 
 
 It is also interesting to observe that the facts which have led to the 
 Guldberg-Waage Theory are also direct consequences of the Hexite- 
 Pentite Theory. 
 
 Even Newton's law of gravitation has an interesting connection 
 with the Hexite-Pentite Theory. 
 
 The subject of colloids, which is attracting a large amount of 
 attention at the present time, is exceptionally well illuminated by the 
 Hexite-Pentite Theory, and the authors had intended to include a 
 considerable amount of information on this subject in the present work. 
 The amount of space occupied would be so great as to make the present 
 volume inconveniently large, however, and would so seriously delay 
 its publication that this subject must be dealt with in a subsequent 
 volume. The reader's attention is, however, called to the subjects of 
 cements and coloured glasses discussed somewhat fully in the present 
 volume for hitherto the constitution of these has usually been ex- 
 plained in terms of colloids. Such an explanation is highly individual- 
 istic and cannot be applied to cements or glasses as a whole, so that 
 it cannot be regarded as a really scientific hypothesis. By means of 
 the Hexite-Pentite Theory, on the contrary, the cause of the colour of 
 
xx PREFACE 
 
 certain glasses is explained in a manner precisely analogous to that in 
 certain coloured organic compounds, wherein the colour is known to 
 be due to the arrangement of the atoms. 
 
 In preparing this English edition, the authors have had the inestim- 
 able advantage of the assistance of a well-known authority on clays 
 and other silicates, and they hereby wish to express their indebtedness 
 to him, not only for the manner in which he has executed the transla- 
 tion, but also for his kindness in making numerous and valuable 
 suggestions and criticisms and for the various additions (printed in 
 smaller type for their better distinction) due to his special knowledge 
 of the subject. 
 
 THE AUTHORS. 
 
 July, 1913. 
 
THE 
 
 SILICATES. 
 
 Introduction 
 The Chemistry of Carbon and Silicon 
 
 THE remark has frequently been made that, whilst the study of 
 carbon compounds has reached a high state of development, 
 comparatively little attention has been paid to that of other elements. 
 A large number of chemists are engaged in studying the chemistry of 
 carbon because the methods of investigation have been worked out 
 more thoroughly than those for other elements ; because the inter- 
 pretation of the results is clearer, and because many carbon com- 
 pounds, such as the organic dyestufTs and more recently the artificial 
 scents, have proved to be of enormous technical value. 
 
 The majority of chemical theories put forward in recent years are 
 based on the characteristics of carbon compounds and are modified, 
 abandoned, or again become generally recognised, without the chemis- 
 try of other elements having any appreciable influence upon them. 
 There can be little doubt that if the study of other elements had 
 reached as high a state of development as that of carbon, not a few 
 facts would have been discovered which would lead to other constitu- 
 tional formulae and to fresh hypotheses and theories ; it is, indeed, 
 probable that at least as many new laws would be formulated as have 
 resulted from the widespread investigation of the chemistry of carbon. 
 These additional laws and generalisations should be of even greater 
 value, inasmuch as they would be based upon a wider knowledge. 
 
 Many industries should derive considerable benefit from the results 
 of a more thorough study of inorganic chemistry, and new products 
 or even new industries would probably result. The carbide industry 
 and that of the rare earths owe their existence to an increased study 
 of this branch of chemistry. Other industries such as those concerned 
 in the production of artificial gems, inorganic colours, the manu- 
 facture or employment of cement, clay, ultramarine, glass, etc. are 
 capable of extensive development through the application of scientific 
 investigation to the materials used in them. 
 
 Whilst carbon has a special interest on account of its being the 
 
2 INTRODUCTION 
 
 essential constituent of all organic substances, its analogue, silicon, 
 should be no less interesting as it forms the chief material in the earth's 
 crust. It probably plays a far more important part in the natural 
 processes of the inorganic world than carbon does in the realm of 
 organic substances. A moment's thought will show the immense 
 variety of chemical reactions and the enormous scale on which they 
 occur in the upper layers of our planet. The form of the earth's 
 surface, the character of the mountain ranges, volcanic eruptions and 
 the phenomena of solution and decomposition are all related to such 
 characteristics of the widely distributed aluminosilicates as their 
 hardness, fusibility, heat-conductivity, resistance to pressure, etc. 
 These characteristics are closely related to the composition and the 
 chemical nature of the elements concerned, particularly silicon. How 
 great an interest a knowledge of the structure of these compounds 
 possesses, is shown by the manner in which mineralogists and chemists 
 study the crystallographic, physical and chemical properties of rocks 
 and by the great variety of theories which have been formulated in 
 order to give some idea of the constitution of these remarkable com- 
 pounds. 
 
 In spite of great intellectual effort and innumerable experiments 
 only a small proportion of which have been published which have 
 been made to draw this subject from its obscurity, little progress has 
 been made, and the silicon compounds, in spite of the fact that they 
 occur in enormous quantities and are most widely distributed, must 
 be included amongst those substances of whose constitution very 
 little is known. 
 
 For this reason it is thought that a fresh attempt to illuminate 
 this subject by investigating it in a purely experimental manner, as 
 distinct from the more theoretical considerations of other scientists, 
 may not be without value. 
 
HISTORICAL SURVEY OF EXISTING THEORIES 
 
 Section I 
 
 Historical Survey of the various Theories regarding the Constitution 
 of the Aluminosilicates and other Silicon Compounds 
 
 THE scientific study of the constitution of the silicates commenced 
 in the first decade of the nineteenth century when Berzelius 1 * 
 Smithson 2 and Dobereiner 3 simultaneously (1811) regarded the 
 silicates as salts of silicic acid or silica. Previous to this, the role played 
 by silica was, in spite of the researches by Bergemann, Klaproth, 
 etc., far from clearly understood. The silicates were regarded as 
 complex mixtures of various oxides and as peculiar substances quite 
 distinct from other salts. Very few suggestions as to their true character 
 can be found in the earlier literature ; they remained outside the general 
 development of scientific knowledge, as Tachenius who regarded the 
 silicates as salts of silicic acid endeavoured to show in the seventeenth 
 century. 4 
 
 Although the suggestion that the silicates are salts of silicic acid or 
 silica was made simultaneously and independently by Berzelius, 
 Smithson and Dobereiner, as already mentioned, the chief credit 
 must be given to Berzelius ; Smithson contented himself with stating 
 that minerals do not differ from artificially prepared compounds, 
 and that the composition of the silicates can only be understood by 
 regarding them as salts, and quartz as an acid. 
 
 Dobereiner 5 worked on purely speculative lines, and argued that 
 as silica forms salts with bases, the oxide of silicon, Si0 2 , should be 
 termed " silicic acid." f 
 
 Berzelius expressed himself much less decidedly, though his meaning 
 was equally clear. 6 He stated that when two oxides combined, one 
 must be regarded as electro-negative, and suggested that the nomen- 
 clature of such oxides could be distinguished from that of the salts. 
 Several years later he classified silica compounds into bi-silicates, tri- 
 silicates, etc. according to the proportion of oxygen in the silica and 
 the base, and made some very clear suggestions regarding the formation 
 
 * References to authorities are given in the Bibliography at the end of this volume. 
 
 f The term suggested by Dobereiner, viz. " Kieselsaure/' is that used in 
 Germany at the present day, there being no exact equivalent in German to the English 
 word " silica." The word " Kieselsaure " thus represents both " silica " and " silicic 
 acid," the latter term expressing its meaning exactly, though seldom used excpet where 
 the acid nature of the substance is specially under consideration. A. B. S. 
 
4 HISTORICAL SURVEY OF EXISTING THEORIES 
 
 of the complicated salts of silica. At that time he was so convinced of 
 the acid nature of silica that he believed that no mineralogist 
 acquainted with the chemistry of the period could have the slightest 
 doubt that silica was a true acid. He maintained as Smithson had 
 done before him that double salts existed in silicates containing 
 A1 2 3 and Fe 2 3 , and pointed out the analogous nature of the alums 
 in which silica is replaced by sulphuric acid. He also regarded the 
 spinels as salts in which A1 2 O 3 plays the part of an acid. These sug- 
 gestions were at once accepted by scientists. 
 
 By great industry, Berzelius largely extended our knowledge 
 of silicates. The discovery of isomorphism by Mitscherlich and the 
 investigations of Bonsdorff and Rose two pupils of Berzelius con- 
 firmed their master's theories and made it possible to provide simple 
 formulae for a number of silicates. 
 
 Through the use of a formula which for silica was written as 
 Si0 3 , Si0 2 , or SiO a great simplification occurred, though for the 
 silicates as a whole the expression of the results of chemical analyses 
 by formulae did not fulfil expectations. 7 
 
 In 1846 Laurent 8 suggested that the silicates are not salts of a 
 single, but of several silicates. He had proved the existence of several 
 tungstic acids and presumed the existence of several silicic acids of 
 different chemical compositions analogous to ortho- and meta-phos- 
 phoric acid. This hypothesis was accepted by scientists as soon as the 
 value of the " Type theory " had become generally recognised. Be- 
 tween 1855 and 1865 it was in great favour, and it is still held by some 
 chemists. About the time mentioned, Fremy's work on tin-acids was 
 published, and from this arose the idea of poly-silicic acids and anhy- 
 drides, which was readily adopted. This hypothesis has been pub- 
 lished at various times and from various points of view by Fremy 9 , St. 
 Hunt 10 , and Wurtz 11 , its clearest and most accurate form being due 
 to Wurtz. Various modifications of it have been used in theoretical 
 investigations by several scientific writers with greater or less effect, 
 and there is in existence a long series of treatises, each more or less 
 independent of the others, forming complex combinations of old and 
 new work, by Woltzien 12 , Golowkinski 13 , Odling 14 , Streng 15 , Lawrow 16 , 
 Schiff 17 , Bodecker 18 , Stadeler 19 , and others. The chief result of all 
 these researches is to indicate that the theories put forward do not 
 de facto suffice to render the constitution of the silicates clear. So 
 far as they are concerned, the problem remains unsolved in spite of 
 the large amount of work done in connection with it. 
 
 A great advance was made by Damours 20 , who was the first to 
 suggest that the water in many silicates is of the nature of " water of 
 constitution," i.e. it is an integral ingredient of the salt (silicate) 
 itself. The importance of this observation was pointed out by Lau- 
 rent 21 , Bodecker 22 , and Rammelsberg 23 , and its application has greatly 
 increased the significance of the formulae of many silicates. More 
 recently, Clarke 24 has endeavoured to explain the behaviour of a 
 
HISTORICAL SURVEY OF EXISTING THEORIES 5 
 
 series of hydrous aluminosilicates the zeolites at high temperatures 
 by means of structural formulae. 
 
 Many silicate formulae have been further simplified by the employ- 
 ment of microscopical analysis. 25 
 
 There still remained, however, a very large number of silicates 
 whose constitution cannot be ascertained by means of the numerous 
 investigations and exact analytical methods previously mentioned. 
 
 This state of affairs naturally led to further attempts to ascertain 
 the constitution of the silicates, and numerous new theories were 
 formulated. Thus, Wartha 26 , Haushofer 27 , and Safarik 28 endeavoured 
 in 1873-4 to explain the chemical nature of the silicates by means of 
 structural formulae . These attempts, which were based on theories of 
 the structure of carbon compounds, did not lead to any definite result 
 and had no appreciable influence on the development of theories 
 relating to silicates. 
 
 The felspar- theory published by Tschermak 29 in the " Transactions 
 of the Vienna Academy," in 1865, on the contrary, was of great im- 
 portance, but was only accepted by scientists after it had been dis- 
 cussed for several years.* This theory, which assumes that some of the 
 felspars are formed by the mixture of two substances albite and 
 anorthite is well supported by a large number of analyses, and was 
 undoubtedly of great value at the time it was introduced. It not 
 only facilitated the systematisation of a large number of analyses, 
 but explained the relationship between certain physical characters 
 and the chemical composition of several silicates. 
 
 In Tschermak's theory the purely chemical functions of the 
 silicates are not considered ; this is its great weakness, and for this 
 reason this theory was only accepted by scientists for want of a better 
 interpretation of the results of innumerable analyses of felspars. This 
 difficulty existed until quite recently, for in Mineralogy there are a 
 number of similar theories in which the chemical characteristics of the 
 compounds concerned are entirely disregarded, as in the ordinary 
 theories of the chemical nature of Scapolite 30 , Mica 31 ' 32 , Tourma- 
 line 33 , etc. 
 
 Towards the end of the " 'seventies " very few ideas on the con- 
 stitution of silicates were promulgated, the work done at that time 
 being chiefly in the direction of increasing the number of observed 
 facts and improving the "observation material" from which conclu- 
 sions might be drawn with greater accuracy and safety than hitherto. 
 
 Such researches as these made it possible for Vernadsky 34 to 
 publish his interesting treatise on "The Sillimanite Group and the 
 role of Aluminium in Silicates . " A considerable time before Vernadsky, 
 several authorities had agreed that aluminium in silicates has the 
 characteristics of an acid ; some presuming the existence of complex 
 
 * Special attention is directed to Reference No. 29 in the Bibliography at the end 
 of this volume. 
 
6 TSCHERMAK'S AND VERNADSKY'S THEORIES 
 
 silicoaluminic acids whilst others believed that aluminium in the 
 aluminosilicates plays the same role as silicon. Bonsdorf 35 , as the re- 
 sult of investigations on hornblendes containing alumina in which 
 the proportions of Si0 2 and A1 2 3 vary, reached the conclusion that 
 silicon and aluminium each play the same role. Scheerer 36 confirmed 
 this view of Bonsdorff's. The view that aluminium in the natural 
 silicates has an acid character was also held by Berzelius 37 , Bodecker 38 , 
 arid Odling 39 . 
 
 Wartha 40 was the first to publish this hypothesis in a clear form, 
 but he afterwards paid more attention to structural formulae and ceased 
 to develop this theory. About the same time, Brauns 41 attributed an 
 acid character to aluminium in natural silicates, but instead of the 
 ordinary formula, A1 2 3 , he preferred A10 2 . 
 
 Vernadsky endeavoured to show that aluminium plays the same 
 role as silicon in the aluminosilicates and that from the latter complex 
 acids (silicoaluminic acids) may be produced. Earlier observations 
 and experiments on aluminosilicates and the chemical changes occur- 
 ring in Nature completely confirmed this view. At first, Vernadsky 
 sought to base a chemical classification of the aluminosilicates on his 
 theory, but this could be applied to only a small number of com- 
 pounds. Most of the aluminosilicates, such as felspar, mica, etc., 
 could not be brought within any scheme he could devise, and though 
 he repeatedly declared that the so-called " mixture theories " have 
 little real value from a chemical point of view, he believed that it was 
 unwise to abandon them. 
 
 Vernadsky 's 42 structural formulae have consequently done little 
 towards solving the problem of the constitution of the silicates. 
 
 The present theories as to the constitution of aluminosilicates 
 appear, with the exception of that of Vernadsky, to be combinations 
 of older theories. The existence of various ortho-, meta-, and other 
 silicic and poly-silicic acids, and of simple and double salts of these, is 
 generally accepted, and to some extent structural formulae have been 
 allocated. The theories of Rammelsberg 43 , Groth 44 , Clarke 45 , Tscher- 
 mak 46 , and others are of this kind. Those of Sawtschenkow 47 and, 
 more recently, of Goldschmidt 48 , differ somewhat, as they are based 
 on the idea that the above-mentioned silicates cannot be explained 
 by the foregoing theories. The researches of Bombicci 49 and Brauns 60 , 
 which are based on purely hypothetical considerations, are quite 
 different from those previously mentioned. 
 
 The recognition of the acid nature of clays is rapidly gaining 
 general acceptance. Kaolin behaves in many ways precisely like an 
 acid, displacing carbon dioxide in carbonates, chlorine in chlorides, 
 etc., and Mellor and Holdcroft 708 consider it to be aluminosilicic acid 
 (kaolinic acid). These writers, like Vernadsky, classify the alumino- 
 silicates according to the ratio of A1 2 O 3 to Si0 2 and distinguish them 
 as alumino-raoTio-, alumino-<fo'-, alumino-n'-, alumino-tfetfra-, alumino- 
 penta- and alumino-^eo:a-silicates. For instance, they regard nepheline, 
 
MODERN THEORIES OF ALUMINOSILICATES 7 
 
 Na 2 A1 2 O 3 2 Si0 2 as a salt of an alumino-di-silicic acid ; ortho- 
 clase, K 2 A1 2 O 3 6 SiO 2 as a salt of an alumino-hexa-silicic acid, 
 etc. They also suggest constitutional formulae for these substances, 
 but without contributing materially to any understanding of the 
 constitution of the aluminosilicates, as explained later. 
 
 W. Pukall 706 ' 71 also refers to the acid nature of kaolin which, 
 when digested on a water-bath for several days with a solution of 
 caustic soda, fixes a large quantity of the soda. He has also observed 
 that kaolin at a temperature of about 950C. causes the evolution of 
 chlorine from common salt and liberates a compound corresponding 
 to Na 2 O A1 2 3 2 SiO 2 . Among other writers who have recently 
 referred to the acid nature of alumina in the aluminosilicates may be 
 mentioned J. Morozewicz 711 , who also regards kaolin as a complex 
 aluminosilicic acid. 
 
 An observation by Dalkuhara 712 is highly confirmatory of the acid 
 nature of alumina in the aluminosilicates. It is well known that silica 
 which has been precipitated from solution and afterwards well washed 
 is neutral to litmus. Dalkuhara has examined various hydro-silicates, 
 particularly clays, which are acid to litmus and observed that, not- 
 withstanding repeated thorough washing, these silicates completely 
 retained their acidity, no acid passing into the wash-water. If, how- 
 ever, a neutral salt such as potassium chloride, ammonium sulphate 
 or ammonium chloride is added to the clay a soluble acid is immedi- 
 ately produced, the potash or ammonia being absorbed and hydrochloric 
 or sulphuric acid liberated. This is important in connection with 
 another fact established by Dalkuhara, viz. that finely divided felspar 
 which he regards as a neutralised kaolin on prolonged treatment 
 with an aqueous solution of carbon dioxide produces an acid-reacting 
 silicate which behaves in a manner similar to the clays just mentioned. 
 
 Section II 
 
 Critical Survey of the Existing Theories of Aluminosilicates 
 
 HpHE following hypotheses or theories have been formulated to 
 JL explain the constitution of the aluminosilicates : 
 
 1. The aluminosilicates are salts of silicon hydrate in which the 
 hydrogen is partly replaced by aluminium and partly by other metals. 
 
 2. The aluminosilicates are double salts silicic salts of aluminium 
 and other metals and also isomorphous mixtures of these double 
 salts. 
 
 3. The aluminosilicates are molecular compounds composed of 
 various chemical compounds which have nothing in common as 
 
8 CRITICAL SURVEY OF EXISTING THEORIES 
 
 regards their chemical nature. The mode of combination between 
 the various components is very labile. 
 
 4. The aluminosilicates are isomorphous mixtures of salts of silicic 
 and aluminic acids. 
 
 5. The aluminosilicates are double salts of silicic and aluminic acids, 
 or amorphous mixtures of these double salts. 
 
 6. The aluminosilicates are, in part, silicoaluminic acids and, in 
 part, the salts of these acids. 
 
 Before we criticise these theories in the light of the facts, it appears 
 desirable to make the following statement : The aluminosilicates 
 constitute a single, well-defined class of compounds, the members of 
 which agree in the numerous observable chemical changes which they 
 undergo in Nature (the so-called pseudomorphic processes) and in 
 those of their characteristics which are best studied in the laboratory, 
 such as their synthesis and their behaviour towards reagents and at 
 high temperatures. In these ways the aluminosilicates differ con- 
 siderably from silicates which are free from aluminium and other 
 sesquioxides. No reaction is known which makes it necessary to place 
 any of these compounds in a special class or to give them a special 
 place in a separate class. They pass into each other or form the same 
 compounds ; they all change slowly under the influence of geological 
 processes into one and the same compounds of the kaolin group. In 
 considering these hypotheses we must take special notice of this 
 phenomenon ; and in explaining the chemical nature of the com- 
 pounds under consideration, only those hypotheses or theories should 
 be employed which make it possible to indicate the composition of 
 these compounds in a uniform manner and to exclude those silicates 
 which show important differences of character. That hypothesis or 
 theory which agrees most closely with the facts and is free from 
 obvious disadvantages must be regarded as the one which approaches 
 nearest to the truth. 
 
 (a) Critical Examination of the First Hypothesis 
 
 According to the first hypothesis the aluminosilicates are silico- 
 hydrates in which one part of the hydrogen is replaced by aluminium 
 and another part by other metals. 
 
 This theory contradicts the following facts : 
 
 1 . The relation between aluminium and the other metals contained 
 in these compounds remains constant no matter how soon the reaction 
 of the double decomposition is interrupted. 
 
 2. No reaction is known whereby it is possible to produce a hydrate 
 of silicic acid from the aluminosilicates and from this hydrate to 
 reproduce the original substance, i.e. the aluminosilicate. The separa- 
 tion of silica by means of strong acids is always accompanied by a 
 complete destruction of the whole compound. The replacement of 
 the metal by hydrogen usually occurs in such a manner that only 
 those metals can be substituted which are capable of forming oxides of 
 
ARE ALUMINOSILICATES SALTS OF SILICIC ACID? 9 
 
 the R"O and R' 2 type, the aluminium remaining unaffected ; from 
 these intermediate products which appear to be acid salts of alumin- 
 ium it is easy to regain the original compounds. The replacement 
 of aluminium by hydrogen without affecting the other metals has 
 not yet been accomplished. 
 
 3. No instance is known in which all the hydrogen of the hypo- 
 thetical silicic hydrate can be replaced by a single metal, though one 
 metal may be substituted for one portion of it and another metal for 
 the remainder. Thus, the transformation of Si Al NaO 4 into Si Na 4 4 , 
 or the reverse, by means of a double decomposition is impossible. 
 
 4. If it is desired to use this hypothesis in the study of the alumino- 
 silicates and to apply it to all of these compounds, it is necessary to 
 conceive the existence of highly complex and improbable silicic 
 hydrates or of basic salts. Even then, this hypothesis affords no 
 assistance for many compounds, such as the sapphires. 
 
 5. If this hypothesis is accepted, the simple reactions which occur 
 with these compounds cannot be explained. For example, the trans- 
 formation of one aluminosilicate into another has frequently been 
 observed, the ratio of alumina to the R"O and R' 2 O oxides remaining 
 unchanged and only the ratio of silica to these oxides varying ; e.g. 
 reactions in which an increase or diminution of Si0 2 occurs. Such 
 reactions are by no means uncommon: orthoclase, K 2 0-A1 2 3 - 
 6Si0 2 easily passes into leucite, K 2 O A1 2 3 4Si0 2 ; and later into 
 muscovite, K 2 -H 2 O 2 A1 2 3 4Si0 2 . Analogous changes are the 
 transformation of albite into kaolin and mica ; the formation of 
 analcime Na 2 O A1 2 3 4Si0 2 -2H 2 from nepheline ; the conver- 
 sion of analcime into muscovite and the artificial production of it 
 from orthoclase, albite and kaolin ; the transformation of andalusite, 
 A1 2 3 Si0 2 into muscovite 51 ; the conversion of kaolin into analcime 
 by means of sodium silicate 52 , the formation of kaolin from nephe- 
 line 53 , the conversion of elaolite, Na 2 O A1 2 3 2Si0 2 into natrolite 54 , 
 Na 2 A1 2 3 3Si0 2 2H 2 0, into analcime 55 and into hydronephe- 
 lite 56 , Na 2 -H 2 2A1 2 3 6Si0 2 - 2H 2 ; and in the passage of 
 muscovite into leucite by the action of Si0 2 in the presence of alkali 
 carbonates 57 . These reactions, selected from a much larger number, 
 are quite inexplicable by the first hypothesis. 
 
 It is, therefore, scarcely conceivable that those constitutional 
 formulae of the aluminosilicates which are based on the first hypothesis 
 are in accordance with the facts. 
 
 Recently, several mineralogists, including Brogger 58 , Clarke 59 , 
 Groth 60 , endeavoured to use the first hypothesis by presuming the 
 existence of several complex aluminium radicles such as A1C1, A1F 2 , 
 A1O, etc., which replace metals and can form RO oxides. Unfor- 
 tunately, no chemical reactions are known in support of this hypo- 
 thesis, which is entirely based on the arrangement of the silicates 
 according to their crystalline form. 
 
 Moreover, this modified hypothesis gives little or no explanation 
 
10 CRITICAL SURVEY OF EXISTING THEORIES 
 
 of the constitution of the chemical compounds just mentioned, and, 
 all things considered, it must be admitted that the first hypothesis 
 does not explain the reactions to which reference has been made. 
 
 (I) Critical Examination of the Second Hypothesis 
 
 The second hypothesis (that the aluminosilicates are double salts 
 of aluminium and other metals and that they also comprise isomorphous 
 mixtures of these double salts) is one of the oldest. It was originated 
 by Berzelius and Smithson. 
 
 The following objections to this hypothesis require consideration : 
 
 1. Any reaction in which the proportion of silica in the compound 
 varies whilst the proportion of aluminium to base remains constant is 
 inexplicable. 
 
 2. This hypothesis requires the existence of very stable double 
 salts of different silicic acids, or of double salts composed of both 
 normal and basic salts. It cannot be said that the production of double 
 salts from salts of different basicity or acidity is impossible, as our 
 knowledge of the double salts is far from complete. 
 
 The existence of such salts is, however, highly improbable and if 
 this hypothesis were correct it would necessitate the placing of such 
 salts in a class by themselves, as, amongst all the substances which 
 have been investigated, no such double salts have been observed. 
 
 3. How is it possible to term compounds having the general 
 formula : 
 
 R 2 A1 2 3 Si0 2 
 
 double salts ? These compounds occur in Nature and may also be 
 prepared artificially. As naturally occurring minerals : CaO 2 A1 2 3 
 
 2 Si0 2 H 2 (Margarite 61 ) and MgO A1 2 3 SiO 2 (Prismatine 62 ) may 
 serve as examples of this group. Artificially prepared K 2 A1 2 O 3 
 
 Si0 2 and Na 2 O A1 2 3 Si0 2 form typical synthetic products. 63 
 
 All these compounds are closely related to compounds in other 
 groups ; thus K 2 A1 2 3 Si0 2 and Na 2 O A1 2 O 3 Si0 2 readily 
 change into K 2 O A1 2 3 2 Si0 2 and Na 2 O A1 2 O 3 2 Si0 2 respec- 
 tively, and inversely they may both be obtained from kaolin. 64 Mar- 
 garite is closely related to the micas and is not infrequently formed 
 from them. 65 Prismatine changes into a hydrous silicate (Krypolite) 
 which, according to this hypothesis, must be regarded as a double 
 salt and in the form of phlogopite may be obtained artificially. 66 
 
 There is clearly a genetic relationship between the various alumino- 
 silicates, but to regard them as double salts it would be necessary to 
 provide a special space in the scheme of classification, as there are 
 many compounds of this group (which can never be termed double 
 salts) for which no provision is made. 
 
 4. The fact that compounds which, from the point of view of those 
 who accept this hypothesis, are very complex in structure are found 
 
ARE ALUMINOSILICATES DOUBLE SALTS? 11 
 
 on experiment to be very stable, is puzzling. Thus the group R 2 O 
 A1 2 O 3 2 SiO 2 , into which practically all other aluminosilicates may 
 be readily converted, is characterised by its exceptional stability. 
 Those who accept this hypothesis regard the compounds of this group 
 as double salts, having the general formula : 
 
 3 + Al 2 Si0 5 or R' 2 Si0 3 -f R' 6 SiO 5 , 
 
 i.e. as normal salts of meta-silicic acid with a basic salt of some other 
 silicic acid. It is scarcely conceivable a priori that the representatives 
 of the most stable substances of the whole class of aluminosilicates 
 are to be found in compounds of this composition. 
 
 5. To the view that the aluminosilicates are double salts there is 
 also the following objection : The term "double salt " is by no means 
 clearly defined and gives but little definite information as to the nature 
 of the compounds to which it is applied. This term should, therefore, 
 be used more cautiously than is sometimes the case and should only 
 be applied to those substances of which the mode of formation from 
 their constituent salts is clearly ascertainable. For example, it is 
 quite correct to term the compound K 2 Mg(SO 4 ) 2 6 aq. a double salt, 
 because it can be produced directly from the two constituent salts, 
 K 2 S0 4 and MgSO 4 . But can such syntheses be observed in the case 
 of aluminosilicates ? Can any analogous reaction be found among the 
 innumerable compounds of silica ? The syntheses which have actually 
 been effected suggest the exact opposite of the second hypothesis and 
 are most puzzling when an attempt is made to apply it to them. No 
 syntheses in support of this hypothesis have yet been made. 
 
 It is impossible by this hypothesis to explain the formation of 
 compounds such as analcime, Na 2 A1 2 3 4 Si0 2 2 H 2 (which is 
 produced 67 by the action of Na 2 Si0 3 on NaA10 2 ), or of other alumino- 
 silicates which are obtained from silicates and aluminates. 68 In 
 these compounds aluminates are found, but no aluminium silicates, a 
 circumstance which is quite contrary to the conception of alumino- 
 silicates as double salts. 
 
 (c) Critical Examination of the Third Hypothesis 
 
 According to the third hypothesis, the aluminosilicates may be 
 regarded as molecular compounds, i.e. compounds in which the unit 
 of combination is a molecule and not an atom. 
 
 This conception of the constitution of natural silicates has chiefly 
 been favoured by Bombicci 69 and V. Goldschmidt, others only having 
 applied it to a few specific cases, as Mallard 70 , who used it to explain 
 the constitution of chondrodite. 
 
 Some silicates are undoubtedly molecular compounds, particularly 
 those silicates which contain water of crystallisation. Some researches 
 of Lemberg 71 and Doelter 72 indicate that cancrinite is a molecular 
 compound and other investigations by Lemberg and Thugutt lead to 
 
12 CRITICAL REVIEW OF EXISTING THEORIES 
 
 the conclusion that the sodalites are also molecular compounds. 
 Other natural silicates appear to confirm this view, so that at first 
 sight it seems as if this hypothesis would enable the facts to be satis- 
 factorily explained ; in reality, the facts are in direct contradiction to 
 the theory. A closer investigation shows that any agreement between 
 fact and theory which may occur is a coincidence due to the indefinite- 
 ness of the latter ; this indefiniteness makes a large number of sup- 
 positions possible. Many facts, whilst not exactly in opposition to it, 
 cannot be used in support of this theory because they cannot be pre- 
 dicted from it. For this reason, this hypothesis has not the value of a 
 true scientific theory or " law of Nature," one essential feature of 
 which is the facilities it offers for the prediction of properties of sub- 
 stances from a knowledge of their constitution. 
 
 The very indefiniteness of the term "molecular compound" 
 allows the formulation of innumerable theories and makes it ex- 
 tremely difficult to decide which of these are of value and which are 
 merely ingenious speculations. To make this clearer it may be assumed 
 for the moment, that the compound 
 
 K 2 A1 2 3 6 Si0 2 
 
 is composed of two or more molecules. In selecting these there is an 
 enormous number of possible molecular compounds to choose from, 
 all of which correspond to the formula of orthoclase given above. 
 For instance, there are 
 
 1. K 2 Al 2 Si 2 8 + 4 Si0 2 , 
 
 2. K 2 Si0 3 + Al 2 Si0 5 -f 4 Si0 2 , 
 
 3. K 2 Si0 3 + Al 2 Si 3 8 + 2 Si0 2 , etc. 
 
 ad infinitum. 
 
 It is clear that from the formula for orthoclase, taken as an example, 
 as many different molecular compounds can be written out as there 
 are mathematical combinations of symbols of the elements avail- 
 able. If one of these hypothetical formulae is found not to repre- 
 sent the characteristics of the substance under consideration, a second, 
 third, fourth, and so on, is substituted. The matter is still further 
 complicated by the indefiniteness of the term " molecular compound " 
 as used by different writers ; an indefiniteness which enables those 
 who use it to indulge in all manner of speculations. 
 
 Broadly speaking, there is no definite means of deciding whether 
 a given substance should be regarded as a molecular or as an atomic 
 compound. Usually, those substances are regarded as molecular 
 compounds which cannot be otherwise understood, 73 the subjective 
 conception of each individual scientist being the factor which deter- 
 mines whether he will regard a given chemical compound as molecular 
 or atomic. Some chemists regard the so-called " double salts " as 
 molecular compounds, whilst others regard some of these salts as 
 atomic and the remainder as molecular compounds. This shows that 
 great caution is necessary in using these terms for the solution of 
 
ARE ALUMINOSILICATES MOLECULAR COMPOUNDS? 13 
 
 theoretical questions. In Science, it is only in rare cases that a theory 
 can be used which, on account of its indefiniteness and lack of clearness, 
 does not possess all the requirements of a scientific hypothesis. 
 
 If aluminosilicates are molecular compounds they must show 
 definite properties characteristic of their constitution. This is not the 
 case. Molecular compounds are formed of chemical compounds of 
 definite composition (Molecules) and must necessarily be less stable 
 than atomic compounds, as the force which binds molecules together 
 must, naturally, be weaker than that which unites atoms to form 
 molecules. Under many conditions, such as solution in water, or 
 when under the action of heat or chemicals, molecular compounds 
 split up into their component molecules. Many aluminosilicates show 
 a high degree of stability ; some can be dissolved and afterwards con- 
 verted into the solid state without undergoing the least decomposition 
 (e.g. CaO A1 2 3 2 Si0 2 , Na 2 A1 2 3 2 Si0 2 , etc.). The decom- 
 position-products formed when aluminosilicates are heated are usually 
 complex and can, more reasonably, be termed molecular compounds. 
 Thus, the majority of the calcareous aluminosilicates form CaO A1 2 3 
 
 2 Si0 2 , and analogous compounds. 74 The reactions of these ap- 
 parent components take no part in the chemical reactions of the 
 aluminosilicates. 
 
 The indefiniteness of the theory here criticised and the absence of 
 facts in support of it show definitely that it does not suffice to give 
 a clear idea of the constitution of the aluminosilicates. This very 
 indefiniteness of the hypothesis is also a reason why it is impossible to 
 find many facts which can be used in direct disproof of it. 
 
 (d) Critical Examination of the Fourth and Fifth Hypotheses 
 
 According to the fourth hypothesis, aluminium and silicon both 
 play the part of acid-forming elements ; and the aluminosilicates are 
 regarded as isomorphous mixtures of aluminates and silicates. As no 
 facts are available which show that, in natural silicates, aluminium 
 plays, to some extent, the part of acid- and, to some extent, that 
 of a base-forming element, it may be assumed that in the silicates the 
 aluminium is present as aluminic acid and has not replaced part of 
 the hydrogen of the silicic hydrate. 
 
 This view renders the constitution of a large number of alumino- 
 silicates quite inexplicable, particularly those with less base than is 
 required by the number of hydroxyl groups of the corresponding 
 silicic and aluminic hydrates, e.g. K 2 A1 2 3 . 4Si0 2 , K 2 O A1 2 3 
 
 6Si0 2 . This hypothesis also fails to explain the proved forma- 
 tion of silicates containing alumina by the decomposition of alumino- 
 silicates and the invariable occurrence of alumina and silica in the 
 products of the reaction. Indeed, this hypothesis indicates precisely 
 that the contrary should be expected, viz. ready decomposition into 
 aluminates and silicates, as the valencies of the constituents of isomor- 
 
14 CRITICAL REVIEW OF EXISTING THEORIES 
 
 phous mixtures (of aluminates and silicates) are naturally weaker 
 than those of the atoms which form the components of the mixtures. 
 
 The confirmation of this hypothesis by the synthesis of alumino- 
 silicates from aluminates and silicates is more apparent than real, as 
 the ratio of base : aluminium : silica in the products of the reaction 
 is quite different from that which would be found if aluminates and 
 silicates could form isomorphous mixtures. Thus, analcime, NaAlSi 2 6 
 aq. and similar substances are producible from Na 2 Si0 3 and NaA10 2 . 
 Moreover, it has never been proved that the salts of aluminosilicic 
 acids are isomorphous, and to attribute this character to them is pure 
 hypothesis. A similarity is often observed in the forms of crystals, 
 e.g. chrysoberyl and olivine, but except for this single resemblance 
 no evidence has been given of isomorphism. No actual observations 
 of isomorphous mixtures produced directly from aluminates and 
 silicates have ever been published. 
 
 But little importance can, therefore, be attached to the fourth 
 hypothesis, as it is only applicable in special cases (such as those 
 investigated by Rammelsberg 75 , Knop 76 , and others) and has never 
 been of general application to the study of the constitution of the 
 aluminosilicates . 
 
 The foregoing hypothesis may be somewhat modified so as to 
 indicate that isomorphous mixtures of aluminates and silicates and 
 isomorphous mixtures of double salts having aluminates and silicates 
 as their components, may be formed along with the aluminosilicates. 
 This leads directly to the fifth hypothesis. Yet, even in this form, the 
 facts do not agree with the theory. The invariable presence of alumin- 
 ium and silica appears to be inexplicable the contrary appears to 
 be more probable the reaction products must, if this hypothesis is 
 correct, contain either silicon or aluminium, but not silicon and 
 aluminium in one and the same product. 
 
 According to the fourth and fifth hypotheses, those aluminosilicates 
 which consist exclusively of Si0 2 and A1 2 3 appear to occupy a special 
 position, yet between them and other aluminosilicates an undoubtedly 
 genetic relationship is shown to exist by the ease with which they 
 can be transformed into one another. The first contain no alkali and 
 cannot, for that reason, be regarded as isomorphous mixtures or 
 double salts of aluminates and silicates. If, however, these substances 
 are to be regarded as aluminium salts of silicic acid, the alumino- 
 silicates must, under other circumstances or in other cases, be shown 
 to be so constituted that, in them, the aluminium has replaced the 
 water of the silicic hydrate ; yet this, if true, destroys the fourth and 
 fifth hypotheses. The compounds last mentioned cannot be regarded 
 as isomorphous mixtures of A1 2 O 3 and Si0 2 , as the isomorphism of 
 these compounds still remains to be proved ; moreover, the existence 
 of an invariably simple ratio of alumina to silica is also opposed to 
 such an isomorphism. 
 
 Similarly, the constitution of those aluminosilicates which contain 
 
ARE ALUMINOSILICATES ISOMORPHOUS MIXTURES? 15 
 
 water in addition to A1 2 O 3 and Si0 2 is very puzzling if studied in 
 connection with these hypotheses. 
 
 Hence, the fourth and fifth hypotheses cannot be used to explain 
 the constitution of the aluminosilicates. 
 
 (e) Critical Examination of the Sixth Hypothesis 
 
 According to the sixth hypothesis, the aluminosilicates are com- 
 plex acids or the salts of complex acids. They are, therefore, analogous 
 to the silicotungstates, arsenomolybdates, silicomolybdates, phos- 
 phomolybdates, etc. All the substances just mentioned have been 
 placed in a new group by Wolcott Gibbs 77 , though some facts which 
 indicated the existence of complex acids were known long before 
 Gibbs' work was published. 
 
 Before making any statement as to the value of this hypothesis in 
 the study of the constitution of the aluminosilicates the following 
 questions must be clearly answered : 
 
 I. To what results do previous chemical and physico-chemical 
 researches on the complex acids and their salts lead, as regards their 
 chemical nature ? 
 
 II. What theories have been formulated with regard to the chemical 
 constitution of the complex acids and what is the value of these 
 various theories ? 
 
 With regard to the first question the following statement may be 
 made : 
 
 (a) The properties of the complex acids producible from a series 
 of acids such as tungstic, molybdic, vanadic, phosphoric, arsenic, 
 silicic, antimonic, and other acids by the combination of two or more 
 of these acids (as silicic and tungstic, phosphoric and molybdic, etc.) 
 in definite proportions do not completely coincide with the sum of 
 the properties of their components. 
 
 (b) The acidity of the complex acids is seldom equal to that of 
 the separate acids from which the complex one has been formed. 
 
 (c) Any given acid can usually unite in variable but simple 
 proportions to form several complex acids. 
 
 (d) The complex acids can exist either in the free state or as salts. 
 
 (e) When complex acids take part in a double decomposition, no 
 separation of the component acids occurs. The latter are found in the 
 new product in the same proportion as they were in the original com- 
 plex acid.* 
 
 (/) The conversion of one complex acid into another, composed of 
 the same constituent acids, is easily effected by splitting off one of the 
 acids in the form of a salt or in the free state. Thus, the conversion of 
 one phospho-tungstic acid into another is accomplished by the removal 
 of tungstic acid or one of its salts. 
 
 * In other words a complex acid acts as a single acid and not as a mixture of 
 two or more separate acids. A. B. S. 
 
16 CRITICAL REVIEW OF EXISTING THEORIES 
 
 (g) From the corresponding anhydrides a series of complex radicles 
 may be produced, the ratios of the constituents of the anhydrides 
 being always simple. 
 
 (h) Great difficulties are experienced if such compounds as the 
 silicotungstates, phosphotungstates, etc. are classified in accord- 
 ance with Ostwald's 78 definition of double salts, and if any attempt is 
 made to divide true complex acids into two groups according to their 
 behaviour in aqueous solution. The recent physico-chemical study 
 of these compounds made with a view to ascertaining their constitu- 
 tion 79 has shown that whilst some dissociate, when in aqueous 
 solution, into their components, others are quite stable. The former, 
 according to Ostwald's classification, must be regarded as "double 
 salts " and the latter as " complexes." In some cases, as (1) when a 
 " double salt " contains alkali or (2) with certain proportions of acid 
 and alkali, the use of the term " double salt " is permissible. With 
 many of these compounds this is not the case, e.g. free acids and those 
 which contain a much larger proportion of one of the acids than of 
 the other. For instance, how is it possible to represent the free acid 
 
 3 H 2 P 2 6 24 W0 3 , 
 
 as a double salt ? Yet the physico-chemical researches of Sobolew 80 
 (dialysis, electrical conductivity, etc.) have shown that in aqueous 
 solution it dissociates into phosphoric acid and metatungstic acid and 
 that its salts are equally unstable in the presence of water. 
 
 The division of the compounds under consideration into two 
 groups according to their behaviour when in aqueous solution does not 
 appear to be satisfactory. On the contrary, the experimental results 
 make it appear far more probable that all the compounds in this group 
 are of analogous constitution, though they vary in their stability when 
 in aqueous solution. The following facts appear to confirm this view : 
 
 1. W. Asch 776 has shown by means of a physico-chemical investiga- 
 tion (dialysis, electrical conductivity, determination of molecular 
 weight, etc.) of the silico-molybdate 
 
 2 K/ 2 SiO 2 12 Mo0 3 aq., 
 
 that in these compounds the silicic and molybdenic acids form a 
 complex ion. This is confirmed by the production (by the same 
 investigator) of readily soluble barium and calcium salts of the same 
 series, having the general formula 
 
 2 R"0 Si0 2 12 MoO 3 aq. (R* = Ba, Ca), 
 and acid salts with a composition corresponding to : 
 
 1.5 R 2 0.5 H 2 Si0 2 12 Mo0 3 aq. (R' = K, Na). 
 
 2. D. Asch 777 has prepared compounds with the general formula 
 
 2 R 2 2 S0 2 5 Mo0 3 aq. (R' = K, Na, NH 4 ), 
 
ARE ALUMINOSILICATES COMPLEX ACIDS OR SALTS? 17 
 
 by the action of sulphurous acid on the alkalies of the paramolybdates. 
 These compounds, unlike the silicomolybdates, are very unstable in 
 water, so that the conversion of the alkali-salts just mentioned into 
 the corresponding salts of the alkaline earths appears to be impossible 
 on account of the decomposition of the latter in water. Only by the 
 use of concentrated alkali-paramolybdate solutions saturated with 
 SO 2 gas, together with the salts of the alkaline earths, was it found 
 possible to prepare readily soluble salts of the alkaline earths corre- 
 
 sponding: to 
 
 2 R"O 2 S0 2 - 5 Mo0 3 aq. (R" = Ba, Sr, Ca). 
 
 Consequently, there can be no doubt that the sulphurous molyb- 
 dates in spite of their ready decomposition when in aqueous solution 
 must, on account of the manner in which they form readily soluble 
 salts of the alkaline earths, be regarded as salts of a complex sulpho- 
 molybdic acid with the formula 
 
 2 H 2 2 S0 2 5 Mo0 3 ag. 
 
 It is here assumed that the compounds under consideration may 
 be regarded either as free complex acids or their salts, some of these 
 substances being stable in aqueous solution whilst the remainder are 
 more or less unstable. 
 
 An answer to the questions (p. 15) concerning the previous theories 
 of the constitution of complex acids and their salts may now be given. 
 
 It should be observed that most investigators of these complex 
 acids and their salts have been content to accept the chemical com- 
 position without making the smallest effort to theorise on the chemical 
 nature of these compounds. Although the number of these substances 
 is somewhat large, the theories of their constitution are comparatively 
 few, and even these are not free from objections. Amongst them, 
 structural formulae are of importance and have been employed by 
 several investigators to indicate the chemical nature of several complex 
 compounds. Thus, Fremery 778 endeavoured to represent by structural 
 formulae the arsenotungstates he prepared. Later, Friedheim 84 , 
 Blomstrand 85 , Kehrmann 86 , Sprenger 87 , Michaelis 88 and others en- 
 deavoured to follow Fremery's example and to apply analogous 
 structural formulae to quite different substances. Notwithstanding 
 the fact that the structural formulae of Blomstrand and Friedheim are 
 analogous, the theories of these two investigators are quite distinct. 
 
 Blomstrand 89 compares the ability of the acid anhydrides to com- 
 bine in various proportions to form complex anhydrides, with that of 
 those salts of cobalt, rhodium, platinum and gold which can combine 
 with ammonia in such a manner as to form " chains " containing 
 1 NH 3 to 3 NH 3 . 
 
 He suggests the following equations to show the combination of 
 ammonia with the metallic salts mentioned : 
 
 + NH 3 = MNH.C1, 
 MCI + 2 NH 3 = MNH 3 NH 3 C1, etc. 
 
18 CRITICAL REVIEW OF EXISTING THEORIES 
 
 He regards the formation of the following complex acids as 
 analogous : 
 
 OX = (OH), + OM0 2 = 
 
 OX = (OH), + 2 OM0 2 = OX<M0 2 OM0 2 OH, 
 
 etc. 
 
 He considers that what occurs is the automatic opening of the 
 atomic complex and the introduction of the new group, member for 
 member, whenever this is possible without changing the general 
 character of the whole substance. 
 
 Friedheim 90 regards the course of the reaction in the formation of 
 complex acids in an entirely different manner. For instance, he 
 represents the first stage of the reaction of molybdic acid on 
 NaH 2 As0 4 as a combination of the molybdic acid with the base^of 
 the arsenic salt as follows : 
 
 8 -f Mo0 3 + aq. = 2 OAs(OH) 3 + Na 2 Mo0 4 
 
 + 2 Mo0 3 + aq. = 2 OAs(OH) 3 + Na 2 Mo 2 7 , etc. 
 
 In addition to these molybdates, acid molybdates will also pass into 
 solution, thus : 
 
 HO Mo0 2 ONa, 
 
 HO MoO 2 OMoO, ONa, 
 
 HO MoO a OMoO, OMo0 2 ONa, etc. 
 
 These are unstable and unite with the free arsenic acid with loss 
 of water : 
 
 X 0|H H0| Mo0 2 ONa 
 OAsr-OH 
 
 IH HO 
 
 /2P 
 
 OAs^-Q|H HO 
 
 XrkTT etc. 
 
 Mo0 2 OMo0 2 ONa 
 Mo0 2 OMoO, ONa, 
 
 Provided that the hydroxyl groups of the acid OX=(OH) 3 do not 
 split off automatically with formation of water, the hydrogen of these 
 hydroxyl groups may be replaced by R, the following examples being 
 theoretically possible : 
 
 /OMo0 2 OMo0 2 ONa 
 OAsf-ONa 
 \ONa 
 
 /OMo0 2 OMoO 2 ONa 
 OAs;-OMoO a OMo0 2 ONa . 
 
 \ONa etc. 
 
 The foregoing structural formulae are open to the following objec- 
 tions : 
 
 1 . It appears as if the acidity of the complex molybdates or tung- 
 states is quite independent of the amount of metallic acid (molybdic 
 
ARE ALUMINOSILICATES COMPLEX ACIDS OR SALTS? 19 
 
 or titanic acid) in the complex and is only influenced by the atomicity 
 of those substances with which the metallic acids combine to form a 
 complex. Thus, Pufahl 91 has decomposed a compound of the series 
 
 3 R 2 As 2 5 18 Mo0 3 aq., 
 
 with silver or thallium salts, and has produced 
 
 6 Ag 2 As 2 O 5 18 Mo0 3 aq., and 
 6 T1 2 O As 2 5 18 Mo0 3 aq. 
 
 These compounds contain twice as much base as is theoretically 
 possible. 
 
 As Friedheim writes the structural formulae of the compound 
 
 3 R 2 As 2 s 18 Mo0 3 
 as 
 
 As = (OMo0 2 OMo0 2 OMo0 2 OR) 3 
 
 \/ 
 
 As == (OMo0 2 OMo0 2 OMoO 2 OR) 3 , 
 
 which is analogous to the structural formula previously mentioned, 
 he must place the compounds with 6 R 2 in a separate class on account 
 of their proportion of base. He denotes the constitution of such sub- 
 stances as molecular, i.e. he attempts an explanation which, on account 
 of its confused nature, is no explanation at all. 
 
 The number of such compounds with a high proportion of base is 
 somewhat large and it is sufficient to mention the following : 
 
 (a) 6 R 2 As 2 5 18 MoO 3 92 
 (6) 4 R 2 B 2 3 12 Wo0 3 93 
 
 (c) 4 R 2 O Si0 2 12 Wo0 3 " 
 
 (d) 7 R 2 O V 2 O 5 12 WoO 3 95 , etc. 
 
 To agree with Friedheim's and Blomstrand's theory, the series (a), 
 (b) and (d) can at most contain 3 R 2 and (c) only 2 R 2 ! There is no 
 real reason for placing all these compounds in a separate class, for 
 neither in their properties nor in their mode of formation do they 
 differ from those from which the above structural formulae were 
 derived. 
 
 2. Another weakness of the hypotheses of Blomstrand and Fried- 
 heim is that they do not permit of deductions being made in connection 
 with the compounds of the complex acids containing the elements just 
 mentioned, and that the composition of only a relatively small number 
 of the compounds in this class can be represented structurally in the 
 way they suggest. 
 
 Moreover, there cannot be sufficient evidence for the proposed 
 structural representation, as, for the majority of these compounds, 
 these two investigators have been contented with the use of empirical 
 formulae and have not made the smallest attempt to determine thek 
 
20 CRITICAL REVIEW OF EXISTING THEORIES 
 
 constitution. This is probably due to the complexity of many of 
 these compounds. Thus, no hypotheses have been formulated for 
 compounds containing 15, 16, 17, 20 and 22 R0 3 (R=Mo, W) to one 
 molecule of X 2 6 (X=As, P, Vd). Some of these compounds have 
 been prepared from substances to which the structural formulae apply 
 and their molecular arrangement is then of interest. Thus, Sprenger 96 , 
 working with a barium salt of the series P 2 5 24 W0 3 and Ba(OH) 2 
 according to the equation 
 
 3 BaO P 2 5 24 W0 3 + 6 Ba(OH) 2 
 = 7 BaO P 2 5 22 W0 3 + 2 BaW0 4 + 6 H 2 0, 
 
 obtained a member of the series P 2 5 22W0 3 a reaction which 
 admits of no explanation in terms of the above theory ! 
 
 Kehrmann and Freinkel have prepared other compounds of this 
 series, viz. : 
 
 1. 3 BaO 4 Ag 2 P 2 5 22 W0 3 aq, and 
 
 2. 7 K 2 O P 2 5 22 W0 3 aq. 
 
 Kehrmann 97 has also prepared from the compound 2, by means of 
 hydrochloric acid and potassium chloride, a crystalline substance with 
 the formula 
 
 5 K 2 P 2 O 5 17 W0 3 . 
 
 All these compounds, of which only a small number have been 
 mentioned, can only be explained with great difficulty, and in many 
 cases are quite inexplicable, by the above-mentioned theories of 
 Blomstrand and Friedheim. 
 
 3. Structural formulae are of special value when definite character- 
 istics of the substances they represent can be deduced from them. In 
 this direction the structural formulae proposed by Friedheim have not 
 been of much service. For instance, the compounds 98 
 
 2 R 2 - V 2 5 4 WO,, and 
 4 R 2 3 V 2 5 12 W0 3 , 
 
 which are formed by the action of vanadic acid on potassium, sodium or 
 ammonium paratungstate, are chiefly distinguished from each other 
 by their characteristic behaviour towards acids. Compounds of the 
 type 
 
 2 R 2 O V 2 O 5 4 W0 3 
 
 liberate tungstic acid on treatment with hydrochloric acid, but no such 
 separation is observable, when compounds of the type 
 
 4 R 2 3 V 2 6 12 W0 3 
 are similarly treated. 
 
 Friedheim represents the structure of these two series as follows : 
 
 1. (2R 2 0- V.O.- 4WO 3 -Jaq.)li = J H 2 3 R 2 1J V 2 6 6 WO, 
 
 2. (4R 2 O 3 V 2 6 - 12 W0 3 ' aq.) J = J H 2 2 R 2 O 1J V 2 5 6 W0 3 
 
ARE ALUMINOSILICATES COMPLEX ACIDS OR SALTS? 21 
 
 < 
 
 V(OWO 2 OR) 3 0V- OW0 2 OW0 2 OR 
 
 OV /O W0 2 OR OV(OW0 2 OW0 2 OR) 2 
 
 \OWO 2 OW0 2 OR 
 
 Yet from these somewhat complicated formulae it is impossible to 
 infer the different behaviour of these two substances to acids, and 
 Friedheim is again compelled to resort to a molecular representation.* 
 The compound 100 
 
 3 K 2 P 2 5 5 Mo0 3 
 
 appears to be an exception. It is regarded by Zenker and Blomstrand 
 as molecular, but as atomic by Friedheim, who represents it as 
 
 X)Mo0 2 OMo0 2 OK 
 OP^-OK 
 
 OP^-OK 
 
 \OMo0 2 OMo0 2 OK 
 
 This structural formula shows that one-third of the potassium 
 should behave differently from the remaining two-thirds. This agrees 
 with the behaviour of this substance towards dilute nitric acid, in 
 which one-third of the potassium atoms are more easily separated than 
 the others. This is, however, quite unusual. 
 
 Friedheim and his associates also formulated other theories re- 
 specting the complex acids and their salts. For instance, they sought 
 to explain their formation by reference to that of the double salts, 101 
 but this hypothesis is by no means free from objection. The facts 
 mentioned under h (p. 16) in the description of the general character- 
 istics of complex compounds are quite opposed to it, and any attempt 
 to apply Friedheim's hypothesis to the chief members of this group is 
 sure to meet with many serious difficulties and contradictions. How 
 is it possible, for example, to use this theory to explain the nature of 
 compounds containing a large proportion of anhydride such as the 
 previously mentioned silicomolybdate 
 
 2 R 2 Si0 2 12 Mo0 3 
 
 or the corresponding silicotungstate ? In such a case it is necessary 
 to assume the existence of purely hypothetical molecular compounds. 
 
 * Since the above was written Friedheim 99 has abandoned the use of the formulae 
 1 and 2 and now uses the atomic arrangement shown below. 
 
22 CRITICAL REVIEW OF EXISTING THEORIES 
 
 The free acids are a source of other difficulties, for how can the 
 constitution of the phosphotungstic acid 
 
 3 H 2 O P 2 5 24 W0 3 
 be represented ? 
 
 Friedheim suggested that such free acids contain an anhydride 
 with the character of a base, from which it would follow that the so- 
 called acid is really a salt. Thus, he regarded the compound 
 
 2 H 2 O P 2 6 V 2 6 
 as a salt of phosphoric acid, 102 namely 
 
 0(V0 2 ) 
 and an analogous compound, 
 
 Na 2 0-P 2 6 -2V 2 5 , 
 
 from which the first may easily be prepared, as a double salt of a vana- 
 dium salt of phosphoric acid and a sodium salt of vanadic acid, viz. 
 
 R 2 O P 2 5 2 V 2 5 = R 2 V 2 O 5 + V 2 5 P 2 6 . 
 Such a classification is obviously confusing ; whenever the analytical 
 results are expressed as formulae indicative of double salts, the com- 
 pounds must be similarly represented, or if double salts are excluded 
 the formulae have another meaning and represent either molecular 
 compounds, whose components are hypothetical, or in the case of 
 free acids compounds in which one of the two anhydrides is regarded 
 as a base. 
 
 Summary 
 
 In summarising the arguments for and against these theories with 
 regard to the constitution of the aluminosilicates, it should be ob- 
 served that the sixth hypothesis (that the aluminosilicates are complex 
 acids and the salts of such acids) explains a whole series of reactions 
 which are quite inexplicable by the other hypotheses (with the excep- 
 tion of the " molecular compound " theory by which " everything " 
 can be explained) and that most of the best-known chemical reactions 
 involving aluminosilicates are in agreement with it. 
 
 It is now clear that : 
 
 1. The splitting off or addition of Si0 2 is a sign of the formation 
 of complex anhydrides and analogous compounds. 
 
 2. The simultaneous presence of Si0 2 and A1 2 3 in the products of 
 the aluminosilicates and the easy conversion of one aluminosilicate 
 into others are comparable to the analogous reactions of phosphotung- 
 states, phosphomolybdates, etc. 
 
 3. The ratio Si0 2 : A1 2 O 3 remains unaltered in reactions involving 
 double decomposition and that no replacement of aluminium by ele- 
 ments capable of forming oxides of the R"0 or R' 2 O type has been 
 observed. 
 
 : < 4. There is a genetic relationship between all aluminosilicates, and 
 that they can be converted into each other. 
 
THE ACID NATURE OF ALUMINA 23 
 
 5. Most of the aluminosilicates are convertible into stable com- 
 pounds by the action of geological forces. 
 
 6. The reactions of a geological nature are analogous for all the 
 silicates ; those which contain no A1 2 O 3 , etc. (but are almost entirely 
 composed of SiO 2 ) under atmospheric influences form silicic hydrates 
 (opals), whilst the salts of the complex aluminosilicic acids are, under 
 similar conditions, converted into the hydrates of the complex alumino- 
 silicate radicles (kaolins). 
 
 7. Highly aluminous aluminosilicates (sapphirin) as well as those 
 low in alumina (petalite) are known to exist. 
 
 There is also a large number of facts indicative of the acid character 
 of aluminium in the aluminosilicates, as previously mentioned. In 
 some highly aluminous slags, salts of aluminic acid (aluminates) are 
 known to be formed at high temperatures, and silica appears to be 
 unable to displace the aluminic acid from these compounds. 103 The 
 simultaneous formation of salts of silica and alumina, even in the 
 presence of an excess of free silica, has been observed ; this fact clearly 
 shows that aluminium has undoubtedly a much stronger acid character 
 than silicon. 104 
 
 Vernadsky 713 has drawn special attention to the following facts in 
 support of the acid nature of alumina in the aluminosilicates : 
 
 (a) The conditions in which aluminosilicates are formed both hi 
 the laboratory and in Nature are precisely those which are favourable 
 to the production of aluminates. The minerals of the spinel group 
 separate from molten siliceous masses at high temperatures. A separa- 
 tion of aluminates from such fused materials can only be explained 
 on the assumption that the alumina has an acid character in such 
 aluminates. 
 
 (b) The separation of aluminosilicates at high temperatures is 
 accompanied by the formation of aluminates (according to the experi- 
 ments of Vernadsky and Moroziewicz spinels are formed). 
 
 (c) At much lower temperatures the action of water or carbonic 
 acid solution not infrequently results in the decomposition of alumino- 
 silicates and the separation of aluminates (vide Thugutt) or hydrated 
 alumina, with the formation, in Nature, of bauxite or hydrargillite. 
 All these reactions are opposed to the conception that alumina plays 
 the part of a base in the aluminosilicates. 
 
 According to Zulkowski 714 the acid nature of alumina in the 
 aluminosilicates explains a fact which has long been regarded as 
 paradoxical by metallurgists, viz. whilst it is found that one molecule 
 of lime effects the slagging or fusion of one molecule of silica, it is also 
 found that just as much lime is required when the silica is combined 
 with alumina. This is incomprehensible if alumina is regarded as 
 basic, but is readily understood if alumina plays the part of an 
 acid. 
 
 It should also be observed that Clarke 715 has repeatedly described 
 aluminosilicates as possessing an acid character, and regards the 
 
24 CRITICAL REVIEW OF EXISTING THEORIES 
 
 tourmalines as derivatives of an acid H 14 Al 5 B 3 Si 6 31 , the water in 
 which may be totally replaced. 
 
 Other facts are available for showing that silica when combined 
 with alumina behaves in a different manner chemically from what it 
 does in silicates devoid of alumina, and that the aluminosilicates may 
 rightly be regarded as " complexes " as defined by Oswald (p. 16). 
 Thus: 
 
 (a) Hautefeuille 105 observed that tungstic anhydride can displace 
 silicic acid from its salts at 900 whilst with aluminosilicates under 
 similar conditions the displaced material contains both silica and 
 alumina and not silica alone. 
 
 (b) By the action of the hydrates of aluminosilicates on carbonates 
 at a high temperature, C0 2 is liberated and its place is taken by both 
 alumina and silica. 
 
 (c) Kaolins and other clays possess acid properties and, according 
 to Gorgeu and Ziemjatschewsky respectively, they can decompose 
 haloid salts (KI, KBr, etc.) at high and moderate temperatures, with 
 the liberation of free haloid (acid) and the formation of salt-like 
 aluminosilicates . 
 
 (d) In various chemical processes both in Nature and in the la- 
 boratory substitution-reactions frequently occur in which the alumino- 
 silicic radicle remains quite unaffected. All such reactions may be 
 expressed by the following equation : 
 
 MX + MjA = MiX + MA, 
 
 in which X is the anhydride of an acid, M and M 1? two different metals, 
 and A is the aluminosilicic radicle. 
 
 The authors who have maintained the acid character of aluminium 
 in the aluminosilicates and who have recognised the existence of com- 
 plex aluminosilicic acid in some aluminosilicates have already been 
 mentioned in the historical section of this volume. One of these 
 Zulkowski states : " I have . . . also shown that alumina possesses 
 the previously anticipated characteristic of forming compounds which 
 are not salts in the ordinary meaning of this word, but which must 
 be regarded as aluminosilicic acids, and that these acids must occur 
 in certain aluminous slags and glazes." 
 
 There are, however, some objections to the hypotheses under dis- 
 cussion : 
 
 (a) Although in most chemical reactions, the aluminosilicates 
 behave in accordance with the sixth hypothesis, there are others 
 which are, at present, inexplicable or are in direct contradiction to it, 
 as the following examples will show : 
 
 1. If the aluminosilicate known as andesite 106 , 
 
 CaO Na 2 2 A1 2 3 8 Si0 2 , 
 is regarded as a salt of an aluminosilicic acid, 
 
 2 H 8 2 A1 2 3 8 Si0 2 , 
 
ARE ALUMINOSILICATES COMPLEX ACIDS OR SALTS? 25 
 
 it is easy to understand the formation of analcime from andesite by 
 treatment with Na 2 C0 3 , which, according to Lemberg, produces the 
 
 compound 
 
 2 Na 2 2 A1 2 3 8 Si0 2 (Analcime). 
 
 It is, however, difficult to see why the same chemist could not repro- 
 duce andesite from analcime by means of CaCl 2 . The chief product 
 in the latter case appears to be 
 
 2 CaO 2 A1 2 3 8 Si0 2 . 
 
 2. By investigating the behaviour of the compound 
 
 Na 2 - A1 2 3 2 Si0 2 (Nepheline) 
 
 towards gaseous hydrochloric acid and silver salts, P. Silber 107 has 
 shown that only one-third of the sodium is given up to gaseous hydro- 
 chloric acid or is replaceable by silver, the remainder of the sodium 
 being quite unaffected. Yet if the formula of the complex alumino- 
 
 silicic acid is 
 
 H 2 A1 2 3 2 Si0 2 , 
 
 the sodium atoms, having replaced the whole of the hydrogen, must 
 behave uniformly ! 
 
 3. If the sixth hypothesis that the whole of the aluminium is in 
 the form of an acid is accepted, it follows that all the aluminium 
 atoms must behave similarly to chemical agents. St. J. Thugutt 108 
 has, however, experimentally proved the exact opposite in a series of 
 aluminosilicates, and has found that one-third of the aluminium be- 
 haves differently from the remainder. For example, sodium nepheline 
 
 4 (Na 2 A1 2 3 2 Si0 2 ) 5 H 2 O, 
 
 on prolonged digestion at 200 with 2 per cent, potassium carbonate 
 solution, one-third of the alumina passes into solution in the form of 
 sodium aluminate and a residue of potassium natrolite, 
 
 K 2 A1 2 3 3 Si0 2 aq., 
 remains, according to the following equation : 
 
 3 (4 Na 2 Al 2 Si 2 8 5 H 2 0) + 8 K 2 C0 3 + 9 H 2 
 = 8 Na 2 C0 3 + 8 (K 2 Al 2 Si 3 10 + 3 H 2 0) + 4 Na 2 Al 2 O 4 . 
 Thugutt has also experimentally proved this property of aluminium 
 in the kaolins, and in a series of sodalites or sodium nepheline hydrates 
 in which a portion of the " water of crystallisation " is replaced by 
 several salts such as NaCl, Na 2 S0 4 , Na 2 C0 3 , etc. 
 
 (b) The precise meaning of the term " complex acids " is by no 
 means perfectly clear. As has been shown in the previous pages, all 
 existing theories concerning the constitution of these compounds are 
 only applicable to a comparatively small number of these substances 
 and are not, in other ways, quite free from objection. Hence, the 
 hypothesis that the aluminosilicates are complex acids and salts gives 
 but little information concerning their " constitution " in the true 
 meaning of this word. 
 
 (c) A theory is only of value if, by its means, a large number of 
 
26 CRITICAL REVIEW OF EXISTING THEORIES 
 
 facts can be arranged systematically. As there can be no doubt, in 
 the present state of our knowledge of the chemical nature of the 
 aluminosilicates, that a genetic relationship exists between the com- 
 pounds in this group this being in agreement with the sixth hypo- 
 thesis a general systematic arrangement in the sense of the sixth 
 hypothesis must be possible, e.g. one based on the composition of the 
 complex anhydrides. If, however, an attempt is made to apply this 
 arrangement to all the aluminosilicates including the felspars, micas, 
 clintonites, scapolites, orthochlorites, etc. a very large number of 
 hypothetical anhydrides is involved ; many of these are of a complex 
 composition and their existence has not, so far, been proved. 
 
 Vernadsky 109 has actually drawn up a scheme of classification based 
 on chemical properties, but he only applied it to a relatively small 
 number of compounds and made no attempt to arrange the micas, 
 felspars, clintonites and other aluminosilicates in a similar manner, 
 as he realised the impossibility of a complete classification on such a 
 basis. 
 
 Hence, although the sixth hypothesis agrees the best with the facts 
 of all the theories mentioned, there are several objections to it, and 
 these must not be under-estimated. 
 
 Consequences which follow from the previous Theories 
 
 A number of facts may now be mentioned which have a character- 
 istic relation to the theories concerning the aluminosilicates and may 
 be regarded as " consequences " of them. 
 
 A. The idea that the constitution of the aluminosilicates cannot 
 be expressed in the light of the previous theories has often led the 
 various investigators to formulate different theories in which no atten- 
 tion was paid to the chemical properties of the aluminates. Amongst 
 these are the so-called "mixture theories " of micas, 110 scapolites, 111 
 tourmalines, 112 etc. The various investigators differ greatly in what 
 they consider to be the components of the mixtures ; these are, in 
 most cases, only hypothetical and are often of such widely different 
 chemical composition that they can scarcely be described as isomorph- 
 ous in the strict meaning of this term. It is, therefore, impossible to 
 state the constituents of a "mixture" without knowing precisely 
 what a given investigator means by the terms he uses for such con- 
 stituents. 
 
 In this connection it is interesting to note that Clarke 113 has 
 recently suggested that the orthosilicates can form " isomorphous " 
 mixtures with tri-silicates and other poly-silicates. The acceptance of 
 this led Clarke to formulae which appear to be very improbable. For 
 instance, he suggests for Zinnwaldite 114 the following formulae :* 
 
 1. Al 244 Fl 167 K 224 Si 224 H 116 (AlFl 2 ) 2 o(Si 3 8 ) 1 5 6 (SiO 4 ) 3 ofl ) 
 
 2. Al 239 Fl 186 Si 218 H 112 (AlFl 2 ) 209 (Si 3 8 ) 151 (Si0 4 ) 312 . 
 
 * Zinnwaldite is usually considered to be an iron-lithium silicate and not a 
 fluorine compound. A. B. S. 
 
SOME CONSEQUENCES OF CURRENT THEORIES 27 
 
 By using the symbol X for both Si0 4 and Si 3 O 8 and the symbol 
 R for K, Li, H and A1F 2 , he obtained the following constitutional 
 
 formulae i 
 
 1. 56 (A1X 3 F1 3 R 3 ) + 53 (A1X 3 R 9 ) + 45 (A1 3 X 3 R3), 
 
 2. 62 (A1X 3 F1 3 R 3 ) + 49 (A1X 3 R 8 ) + 43 (A1 3 X 3 R 3 ). 
 
 Re-calculating an analysis of cryophillite 115 made by Riggs, Clarke 
 obtained the following highly complex formula : 
 
 Al 186 Fl 84 K 256 Li 324 H 146 (AlFl 2 ) 187 (Si 3 8 ) 227 (Si0 4 ) 18 5 5 
 and expresses this as : 
 
 31 (A1X 3 F1 3 R 3 ) + 81 (A1X 3 R 9 ) -f 25 (A1X 3 R 3 ). 
 
 Clarke has also obtained similarly complex formulae for other 
 silicates including stilbite, chabasite, heulandite, 116 etc. and has en- 
 deavoured to explain these in an analogous manner. 
 
 B. A somewhat large amount of caprice is observed in studying the 
 representations of the constitution of some silicates. Each investigator 
 selects that arrangement which he considers to be the most convenient 
 for his own use and it is, therefore, very difficult for anyone else to accept 
 any particular theory. The current hypotheses respecting the con- 
 stitutions of the two following aluminosilicates : 
 
 (a) K 2 A1 2 3 2 SiO 2 (Phakelite) and 
 
 (b) K 2 A1 2 3 6 Si0 2 (Orthoclase), 
 
 are typical instances. 
 
 (a) The Constitution of Phakelite 
 
 P. Groth 117 regards this compound as a simple, normal salt of 
 
 orthosilicic acid, viz. : 
 
 Si s= 3 i Al 
 
 \OK. 
 
 C. Rammelsberg 118 represents it molecularly as : 
 
 K 4 Si0 4 Al 4 Si 3 12 . 
 
 S. J. Thugutt 119 also represents it molecularly, but with other com- 
 ponents, viz. : 
 
 2 K 2 Al 2 Si 3 10 K 2 A1 2 4 . 
 
 Vernadsky 120 considers it as a salt of an aluminosilicic acid : 
 H 2 A1 2 3 2 Si0 2 . 
 
 (b) The Constitution of Potash felspar (orthoclase) 
 
 As a product of pseudomorphic processes Tschermak regards ortho- 
 clase molecularly as : 
 
 K 2 0-Al 2 3 (Si0 2 ) 4 -(Si0 2 ) 2 . 
 
 Tschermak 121 represents it atomically : 
 
 OK 
 
CRITICAL REVIEW OF EXISTING THEORIES 
 
 P. Groth 122 assigns it to the following constitution : 
 Si _ Al 
 
 o o 
 
 0-K 
 
 Clarke 123 prefers : 
 
 /[Si 3 8 ] E= K 3 
 
 AlAsiaO,] = Al 
 
 \[SiiO.] = Al 
 
 S. J. Thugutt 124 , as the result of experiments, uses the following 
 constitutional formula : 
 
 2 K 2 Al 2 Si 3 10 K 2 A1 2 4 12 Si0 2 . 
 
 Rammelsberg considers it to be a multiple salt (double salt) 
 analogous to albite and writes the formula : 
 
 /K 2 Si 2 5 + Al 2 Si 6 15 ^ 
 \K 2 Si0 3 + Al 2 Si 3 9 J 
 
 Wartha represents the structural formula of orthoclase as : 
 
 Vernadsky 125 regards orthoclase as a complex salt of an acid 
 
 H 2 A1 2 3 6 Si0 2 , 
 and writes its structural formula : 
 
 OK 
 
 il 
 
 /\ 
 
 tt 
 o o 
 
 Zulkowski 714 regards felspar as a salt of a complex aluminosilicic 
 acid and gives it the following formula : 
 
 Al SiO SiO SiO OK 
 
 /\ 
 
 O 
 
 V 
 
 Al SiO SiO SiO OK 
 
 Attention may also be called to the suggestion of Haushofer 716 , who, 
 in order to show the genetic relationship of the felspars with granites 
 
RESULT OF CRITICAL REVIEW 29 
 
 and micas, attributed the following constitutional formula to ortho- 
 clase : 
 
 O 
 
 = Si Si O AXSi OK 
 
 A 
 
 = Si Si O Al/\Si OK 
 O 
 
 Mellor and Holdcroft 708 regard orthoclase as a salt of an alumino- 
 hexa-silicic acid and suggest the formula : 
 
 O = Si O\ /O Si = 
 O<C >Alt\ 1=^=0 
 
 = Si O/ A X Si = O 
 
 O 
 
 = Si Si = 
 OK OK 
 
 C. Some aluminosilicates, viewed in the light of existing theories, 
 are extremely puzzling even when they are not highly complex. The 
 formula of ardennite, 126 
 
 10 MnO V 2 5 5 A1 2 3 10 Si0 2 5 H 2 0, 
 
 is thus described by Groth : " This formula though based on only a 
 few analyses indicates such a complex structure that it is highly 
 probable that further investigation will lead to its simplification." 
 
 This declaration was made by Groth because he was not in a posi- 
 tion to find a simpler formula which would agree with the theories 
 mentioned. 
 
 D. Another consequence of the current theories is that in many 
 experimental researches no analyses are calculated into formulae, the 
 usual view being that the substances are not true compounds, but 
 " isomorphous mixtures." It is clear that many interesting character- 
 istics are overlooked in the absence of formulae. Lemberg 127 is 
 typical of many other investigators who do not express their results 
 by means of formulae. 
 
 The Result of the Critical Examination and the Possibility that the 
 Objections raised to the Sixth Hypothesis are unreal 
 
 A critical examination (pp. 8-26) has shown that the alumino- 
 silicates and such complex compounds as the silicotungstates, the 
 phosphotungstates, etc. are closely related substances ; it has shown, 
 moreover that, in all probability, both these groups of compounds 
 may be regarded as members of a single class. 
 
 With regard to their constitution, this examination only shows that 
 
30 A HYPOTHESIS RESPECTING ATOMIC BONDS 
 
 the structure of every compound is not yet known. The previous 
 theories on the constitution of the aluminosilicates cannot be regarded 
 as satisfactory, as notable objections can be raised against each, and 
 none of them is capable of logical application to the interpretation of 
 the chemical nature of the aluminosilicates as a whole, nor can any of 
 them be used for a systematic classification. At the same time, it 
 should be noted that the conception of the aluminosilicates as complex 
 acids or salts agrees well with the facts. 
 
 So long as no better theories are available the sixth hypothesis must 
 claim precedence, in spite of the objections to it already indicated. 
 
 It is, however, not improbable that these objections are only 
 apparent and that they would be completely overcome if the manner 
 in which the atoms in the anhydrides of the aluminosilicates are bound 
 to each other were known. By the use of a suitable hypothesis for the 
 structure of these anhydrides, a confirmation of this statement may be 
 found. The authors of this present volume have actually formulated 
 such a hypothesis, and its nature and the conclusions which may be 
 drawn from it form the subject-matter of the following pages.* 
 
 Section III 
 
 A Hypothesis to show the Bonding of the Atoms in the 
 
 Aluminosilicates and related Chemical Compounds 
 i 
 
 A. Two New Radicals Hexite and Pentite 
 
 1. Hexite 
 
 IF six molecules of Si(OH) 4 unite together, splitting off water and 
 retaining the quadrivalency of the silicon so as to form a "closed 
 ring," the following constitutional formula is produced : 
 
 (OH), 
 
 Ji" 
 
 2 (OH)=S/ 
 
 ,(OH)=Si) Si = (OH) 
 
 \/ 
 Si 
 
 (OH) 2 
 
 Formula I. 
 
 * In sections I and II the authors have followed Vernadsky : " Uber die Gruppe 
 des Sillimanits und die Rolle der Tonerde in den Silicaten " (Bull, der Moskauer Gesdl- 
 schaft der Naturforscher, 1891, 1, 1-100). 
 
TWO NEW RADICALS 31 
 
 If six molecules of water are split off from formula I, the constitu- 
 tion shown in formula II is produced : 
 
 
 II 
 
 Si 
 
 /\ 
 
 O 
 
 = Sif 7 ^jSi = 
 O O 
 
 = Sil ISi = 
 
 O 
 
 \/ 
 Si 
 
 & 
 
 Formula II. 
 
 Formula I is shown in abbreviated form by means of the following 
 symbols : 
 
 (OH), H 2 
 
 II II II 
 
 .(OHj-^-fOH), 
 
 (OH), H:, 
 
 Formula III. Formula IV. Formula V. 
 
 And formula II by the symbol : 
 
 | Si | 
 
 Formula VI. 
 
 In the following pages these abbreviated forms will be used in 
 place of formulae I and II. 
 
 If six molecules Al(OH) 3 unite together to form a "ring" after 
 losing six molecules H 2 O, but retaining the tri valency of the aluminium, 
 formula VII is obtained : 
 
 Al OH 
 
 HO A3, 7 ^Al OH 
 O 
 
 HO AL /Al OH 
 
 O 
 
 \/ 
 
 Al OH 
 
 Formula VII. 
 
32 TWO NEW RADICALS 
 
 By the removal of three molecules of H 2 from formula VII the 
 anhydride 3 A1 2 O 3 is produced. 
 
 Instead of formula VII, the symbols 
 
 OH 
 
 HO /\ OH 
 HO lJ OH 
 
 or 
 
 H 
 
 I 
 
 H /\ H 
 
 Al 
 
 O 
 
 H 
 
 H 
 
 or 
 
 H 
 
 Formula VIII. 
 
 Formula IX. 
 
 X 
 
 Formula X. 
 
 may be used, the atomic complex 3A1 2 3 being then represented by 
 
 \ 
 
 Formula XI. 
 
 The radicals indicated by the symbols in formulae VI and XI are 
 termed "Hexite," 6 Si0 2 being known as "Silicon hexite " and 
 3 A1 2 O 3 as " Aluminium hexite." 
 
 For Silicon hexite and Aluminium hexite the respective symbols 
 
 Si and Al 
 will also be employed. 
 
 The hydrates of these hexites such as : 
 
 6 H 2 6 Si0 2 , 
 4 H 2 O 6 Si0 2 , 
 3 H 2 3 A1 2 O S , etc., 
 
 are termed " Hydrohexites." 
 
 II. Pentite 
 
 If five molecules of Si(OH) 4 or A1(OH) 3 form " rings " in a manner 
 similar to hexite, the following structural formulae are produced : 
 
 (OH), (OH), 
 
 II 
 
 H 2 H 2 
 
 Si ^>=(OH) 
 
 1 1 
 H 2 H 2 
 
 = 
 
 Si>= 
 
 )H), (OH), 
 
 II 
 
 formula XII. 
 
 Formula XIII. 
 
 Formula XIV. 
 
 OH OH 
 
 H H 
 
 
 
 OH OH 
 
 1 i + 
 
 |AI)> 
 
 TT TT 
 
 &- 
 
 Formula XV. 
 
 Formula XVI. 
 
 Formula XVII. 
 
A HYPOTHESIS RESPECTING ATOMIC BONDS 33 
 
 If the appropriate number of H 2 molecules is removed the anhy- 
 drides 
 
 Formula XVIII. Formula XIX. 
 
 are obtained. 
 
 The meaning of the symbols and formulae XII-XIX is clear from 
 the statement made with regard to hexite ; in addition, the sign -f in 
 formulae XV, XVI, etc. indicates that an even number of these 
 radicles must be present, as such an expression as \ (5 A1 2 O 3 ) (Formula 
 XIX) is impossible with existing conceptions of molecules. 
 
 The ring-forming polymerisation-products represented by formulae 
 XVIII and XIX are termed " Pentite," that corresponding to Si(OH) 4 
 being referred to as " Silicon pentite," that corresponding to A1(OH) 3 
 as " Aluminium pentite," and the hydrates : 
 
 5 H 2 O 5 SiO,, 
 
 3 H 2 5 SiO 2 , 
 J (5 H 2 5 A1 2 3 ), etc., 
 as " Hydropentites." 
 
 The pentites of silicon and aluminium will be indicated by the 
 symbols : 
 
 Si and Al, 
 respectively. 
 
 B. The Representation of the Chemical Structure of the Complex Alumino- 
 silicic acids and their Anhydrides by means of the Silicon and Aluminium 
 Pentites and Hexites. 
 
 The silicon and aluminium hexites and pentites just mentioned, 
 provide the " building stones " or nuclei for the acids and anhydrides 
 under consideration. With their aid the mode of formation of the acids 
 appears to be in accordance with the following rules : 
 
 (a) The hydrohexites or hydropentites of aluminium unite with 
 those of silica or vice versa, the two neighbouring hydroxyl groups in 
 the or^Ao-position in these rings splitting off the elements of water, 
 two other OH-groups, also in the ortho-position in the silicon ring, 
 losing their hydrogen atom and forming free H 2 O. 
 
 By this means : 
 
 1. From one aluminium hydrohexite and two silicon hydrohexites, 
 viz. from 3H 2 - 3A1 2 O 3 and 6H 2 O 6SiO 2 , is obtained the formula : 
 
 (OH), OH (OH) 2 
 This may be expressed in four abbreviated forms : 
 
 
34 STRUCTURAL FORMULAE FOR ALUMINOSILICIC ACIDS 
 
 (OH) 2 OH (OH), 
 It I 
 
 (OH),= 
 (OH) 2 = 
 
 = (OH) 2 
 =(OH). 
 
 (OH) 2 OH (OH) 2 
 
 <y) 
 
 H i H 
 
 (8) H 18 (Si Al Si). 
 
 2. From a silicon hydrohexite (3H 2 6Si0 2 ) and two aluminium 
 hydrohexites (3H 2 3A1 2 3 ) is obtained the formula : 
 
 OH OH OH 
 
 r_/ ' 
 
 OH- 
 
 or the symbols : 
 
 in in OH 
 
 OH OH OH 
 
 OH OH OH 
 
 H H H 
 
 I I I 
 H /\/\/\_ H 
 
 A 
 
 (7) 
 
 l| 
 
 Al ] Si | Al| 
 
 \/\/\/~ 
 I I I 
 
 H 10 (A1 Si Al). 
 
STRUCTURAL FORMULAE FOR ALUMINOSILICIC ACIDS 35 
 
 3. From one aluminium hydrohexite (3H 2 3A1 2 3 ) and two 
 silicon hydropentites (5H 2 O 5Si0 2 ) are obtained the symbols : 
 
 SiAl 
 \ 
 
 08) H 2 (Si Al Si), 
 
 which need no further explanation. 
 
 From (a) it follows that each aluminium hydrohexite can combine 
 with two or at most three silicon hydrohexites or hydropentites, water 
 being split off. The reverse is naturally the case with the silicon hydro- 
 hexites ; the hydropentites on the contrary can obviously combine 
 with, at most, two hydrohexites. 
 
 (6) Only those types are produced, from the radicles just men- 
 tioned, in which the " rings " or nuclei are distributed quite sym- 
 metrically. From this it follows : 
 
 1. That such types as : 
 
 Si Al Si,* 
 Si Al - Si, 
 
 are completely excluded as they are unsymmetrical. 
 
 2. The type 
 
 Si-Al 
 
 must be doubled. It then yields two isomeric types : 
 
 Si Al Al Si, 
 
 Al Si Si A of which 
 
 (3) both ends must be formed of absolutely similar radicles, as : 
 
 Si Al Si, 
 
 Si Al - Si Al Si, etc. 
 
 It also follows that from the type 
 
 Si Al Si 
 no such isomer as : 
 
 Si Si Al 
 is possible. 
 
 (c) The types can only have a group of two similar radicles of the 
 same elements in the middle and not at the ends. Even in the 
 
 * If the symbols are doubled and the nuclei symmetrically placed ; such doubled 
 forms are theoretically possible. 
 
 I 
 
36 STRUCTURAL FORMULAE FOR ALUMINOSILICIC ACIDS 
 
 middle they cannot have more than two similar radicles of the same 
 substance. The following types are therefore excluded : 
 
 Si Si Al Si - Si , 
 Si Al Al Al Si, 
 Al Al - S A i Si - Al - Al, 
 Al Si Si Si Al, etc. 
 
 From what has been already stated it will be seen that the following 
 structural formulae are possible : 
 
 I I II 
 
 1. ~| Si | Al | Al | Si | = = H o (Si Al ' & ' Si) = 10 H 2 6 A1 2 3 12 Si0 2 
 
 iWY 
 
 _AAAA_ . A - 
 
 2. _| Si | Al | Al | Si |__ = H 2 (Si Al Al Si) = 6 H 2 6 A1 2 0, - 12 Si0 2 
 
 I I I I 
 
 n__A/\_i 
 
 3. = / Si I Al | Al | Si ^>= =H$ 6 (Si Al Al Si)=8 H 2 6 A1 2 3 10 Si0 2 
 
 Tyy-l 
 
 Si y~ = HJ (Si Al Al Si)=5 H 2 6 A1 2 3 10 Si0 2 
 
 5. ' | Al | Si | Si | Al | = H 6 (Al Si Si - M) = 8 H 2 6 A1 2 3 12 Si0 2 
 
 ~\/\/\/\/ 
 
 I II II I 
 
 I I 
 
 6. Al Si | Si Al | = Hg (Al Si Si Al) = 4 H 2 6 A1 2 3 12 Si0 
 I I 
 
 I 
 
 7. <^A1 1 Si J Si 
 \~\/\/ 
 
 = H a (Al S"i & Al) = 6 H 2 5 A1 2 0, 12 SiO, 
 
STRUCTURAL FORMULAE FOR ALUMINOSILICIC ACIDS 37 
 
 8. 
 
 Si Al 
 
 \ 
 
 / y^x 
 
 = H 4 Al;-S A i 
 
 12 H 2 3 A1 2 3 18 Si0 2 
 
 t<k 
 
 9. Si Al 
 
 / 
 
 | I Al^-S 
 
 v 
 
 H| Al^-S = 3 H 2 O 3 A1,O, 18 Si0 2 
 
 10. =< Si 
 
 Al 
 
 H 
 
 n-is 
 
 = 9 H 2 3 A1.0. 15 SiO, 
 
 11. =< Si 
 
 Al 
 
 H! Alf-Si = 3 H 2 3 A1 2 0, 15 SiO, 
 
 Al 
 
 Si 
 
 = H;J S A i ^Al) = 6 H a O 6 SiO, 9 A1 2 3 
 
 v 
 
38 STRUCTURAL FORMULAE FOR ALUMINOSILICIC ACIDS 
 
 13. 
 
 I /^\ 
 
 = H I S A i<- Al I = 3 H 2 6 Si0 2 9 A1 2 3 
 Al 
 
 6H 2 O12Si0 2 .15Al 2 0, 
 
 ._ Si|Al Si | 
 
 II I II 
 
 I II 
 
 = /\/\/ N = 
 
 . _| Si | Al | Si | Al | Si L=H5. (Si-Al-Si-Al-Si)=8 H 2 6 A1 2 3 18 Si0 2 
 ~\/\/\/\/\/~ 
 
 Al Si = H% 4 (Si Al Si Al-Si) 
 
 /\/== 12 H 2 6 Al, 3 18 Si0 2 
 I II I II 
 
 I II I 
 /\/\/\/\/V 
 
 17.=<^ Si I All Si I All Si \==H? 2 (Si-Al-S A i-Al-Si)=6H a O-6 Al 2 3 -16Si0 2 
 
 \A/\/ 
 
 I II I 
 
 etc. etc. 
 
 The types produced exclusively from the hexites (e.g. 15 and 16) 
 are termed " primary " or " major types " ; those which contain 
 both hexites and " penta radicles " (3, 4, 7, 10, etc.) are known as 
 " secondary " or " minor types." 
 
 Having now shown the chief features of the hypothesis relating to 
 the bonding of the atoms in the aluminosilicic acids, it is necessary 
 to ascertain how far the facts support this new theory. 
 
 C. Consequences which follow from the " Hexite-Pentite Theory" 
 
 I 
 
 If the aluminosilicates are really free acids or salts, of which the 
 anhydrides can be produced from aluminium and silicon hexites and 
 pentites in accordance with certain laws or rules, it follows that in 
 that class of reactions known as " double decomposition " the alum- 
 inium cannot be replaced by other elements, but that the alumina- 
 silica ratio must remain constant. 
 
CONSEQUENCES OF THE H.P. THEORY 39 
 
 Hence in reactions of this kind, involving the following silicates : 
 
 (a) 6 Na 2 6 A1 2 3 12 SiO 2 = Na 12 (& - Al - Al Si), 
 (6) 3 Na 2 3 A1 2 3 12 Si0 2 = Na 6 (Si Al Si), 
 (c) 3 Na 2 3 A1 2 3 10 Si0 2 = Na 6 (T- Al - Si), 
 
 only those atoms which are outside the brackets (i.e. the sodium atoms) 
 can be replaced by potassium, magnesium, calcium, etc. No such 
 replacement can occur with the aluminium atoms and the alumina- 
 silica ratio must remain unchanged. 
 
 As a matter of fact, no replacement of the aluminium by elements 
 which form oxides of the R 2 or RO type has yet been observed either 
 in the so-called pseudomorphous processes or during the course of 
 experimental researches in the laboratory. 
 
 Lemberg (see Appendix, page following Table IV) by treating an 
 artificially prepared compound 
 
 0.5 Na 2 O 5 K 2 6 A1 2 3 16 Si0 2 = NaK 10 (Sl Al - Si Al Si) 
 
 with varying amounts of salt-mixtures (sodium and potassium 
 chlorides, potassium and magnesium chlorides, etc.) obtained the 
 following compounds, all having the general formula : 
 
 RnfSi Al Si Al Si), 
 
 1. 
 
 2. 
 
 
 Na 2 O 
 2Na 2 
 
 4. 
 3. 
 
 5K 2 
 5K 2 O 
 
 6 
 6 
 
 A1 2 3 
 A1 2 O 3 
 
 16SiO 
 16SiO 
 
 2 > 
 
 2 
 
 3. 
 
 2 
 
 .5 Na 2 O 
 
 . 
 
 3K 2 O 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 4. 
 
 
 3Na 2 O 
 
 2. 
 
 5K 2 O 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 5. 
 
 3 
 
 .5 Na 2 O 
 
 
 
 2K 2 
 
 6 
 
 Al 
 
 2 O 3 - 
 
 16 
 
 SiO 
 
 2 
 
 6. 
 
 
 5Na 2 
 
 0. 
 
 5K 2 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 7. 
 
 1 
 
 .5K 2 
 
 . 
 
 4MgO 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 8. 
 
 
 2K 2 
 
 3. 
 
 5MgO 
 
 6 
 
 A1 2 3 
 
 16SiO 
 
 2 
 
 9. 
 
 2 
 
 .5K 2 
 
 
 
 3MgO 
 
 6 
 
 Al 
 
 2 O 3 - 
 
 16 
 
 SiO 
 
 2 
 
 10. 
 
 
 3K 2 O 
 
 2. 
 
 5MgO 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 11. 
 
 1 
 
 .5K 2 
 
 
 
 4 CaO 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 12. 
 
 
 2K 2 O 
 
 3. 
 
 5 CaO 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 13. 
 
 2.25 K 2 O 
 
 3.25 CaO 
 
 6 
 
 Al 
 
 2 3 - 
 
 16 
 
 SiO 
 
 2 
 
 From all these thirteen compounds he could only obtain a replace- 
 ment of the atoms outside the brackets : 
 
 NaK 10 (ST- Al-Si- Al Si), 
 
 and the alumina-silica ratio remained constant. 
 
 A large number of analogous phenomena might be mentioned, but 
 as they all lead to the same conclusion, the following will suffice. Thus, 
 the silicate 
 
 (0.5 Na 2 2.5 CaO 3 A1 2 3 18 Si0 2 17 H 2 0) 2 
 
 ( / \ 
 =jNaCa 2 . 5 Al^Sl 17 H 2 
 
 * x sV 
 
40 CONSEQUENCES OF THE H.P. THEORY 
 
 is converted by a six weeks' treatment at 100 with KC1 (see Appendix, 
 Table I, No. 39a) into the compound 
 
 / /Six 
 
 K S O 3 A1 S 3 18 SiO, 13 H 2 = K, Al(-S"i 13 H 2 0. 
 
 V W 
 
 This potassium salt is converted by a fortnight's treatment at 
 100 with sodium chloride solution into the sodium salt (see Appen- 
 dix, Table I, No. 39b) 
 
 / Six 
 3 Na 2 3 A1 2 3 18 Si0 2 16 H 2 O = Na 6 Al^-Si . 16 H 2 0. 
 
 V \Y 
 The potassium salt 
 
 k 
 
 H S 
 
 3 K 2 3 Al a O, 18 SiO a H 2 = K, - 
 
 v x 
 
 after a week's treatment at 100 with sodium chloride solution is con- 
 verted into the sodium salt (see Appendix, Table I, No. 39f ) 
 
 3 Na 2 3 A1 2 3 18 SiO 2 - 8 H 2 = Na 
 
 \ 
 i I 8 H 2 0. 
 
 The sodium salt (see Appendix, Lemberg's Expts., Series B (c) 
 
 f / .Six 
 (3 Na 2 - 3 A1 2 3 15 Si0 2 7J H 2 0) 2 =] Na e ( Alf Si 7.5 H 2 
 
 [ V W 
 
 is converted after a hundred days' treatment with potassium chloride 
 solution at 200 into the potassium salt 
 
 f / A 
 
 (3 K 2 - 3 A1 2 3 15 Si0 2 1J H 2 0) 2 =] K 6 j Al(-Si 1 1J H 2 
 
 [ \ x sv 
 
 and the sodium salt 
 
 3 Na 2 O 3 A1 2 3 12 Si0 2 6 H 2 = Na 6 (Si Al Si) 6 H 2 
 
 by a three weeks' treatment at 100 with potassium chloride solution 
 (see Appendix, Table II, No. 45a) into the potassium salt 
 
 3 K 2 3 A1 2 3 12 Si0 2 H 2 = K 6 (Si Al Si) H 2 0, 
 etc., etc. 
 
 II 
 
 The new hypothesis implies a genetic relationship between the 
 various aluminosilicates ; under suitable conditions they must be 
 mutually convertible. 
 
GENETIC RELATIONSHIPS 41 
 
 Thus the silicate 
 
 3 Na 2 3 A1 2 3 12 Si0 2 = Na 6 (Si Al Si), 
 can change into the silicates 
 
 (a) 3 K 2 3 A1 2 3 12 Si0 2 = K 6 (Si - Al Si), 
 
 (b) 3 MgO 3 A1 2 3 12 Si0 2 = Mg 3 (Si Al Si), and 
 
 (c) 3 CaO 3 A1 2 3 12 Si0 2 = Ca 3 (Si Al - Si), 
 
 the sodium being replaced by potassium, magnesium or calcium. 
 A conversion of the substance 
 
 3 Na 2 3 A1 2 3 12 Si0 2 = Na.($ Al Si), 
 into the compounds 
 
 (a) 3 Na 2 3 A1 2 3 10 Si0 2 = Na 6 (S~i Al Si), 
 
 (b) 3 Na 2 6 A1 2 3 12 Si0 2 = Na 6 (S_i - Al Al Si), 
 
 (c) 3 Na 2 6 A1 2 O 3 10 Si0 2 = Na 6 (Si Al Al Si), 
 
 can be effected, in case (a) by the conversion of the silicon hexite into 
 pentite, in (b) through the addition of an aluminium hexite and in (c) 
 by the simultaneous transformation of the silicon hexite in (b) into the 
 corresponding pentite. 
 
 In this manner a series of changes in aluminosilicates prepared 
 artificially by Lemberg, Thugutt and others, and the numerous 
 naturally occurring changes which have been observed may be clearly 
 represented. 
 
 Thus, Lemberg (see Appendix, Series B) : 
 
 1. By the action of caustic soda solution of various concentrations 
 on the silicates : 
 
 (a) 3 Na 2 3 A1 2 3 - 12 Si0 2 6 H 2 O = Na 6 (Si Al Si) 6 H 2 0, 
 
 (b) 6 Na 2 6 A1 2 O 3 12 Si0 2 = Na 12 (Si Al Al - Si), 
 
 (c) 6 H 2 -6 A1 2 3 12 Si0 2 6*H 2 = H 12 (Si Al Al Si) 6 H 2 0, 
 obtained, from the (a) compound, the substance 
 
 6 Na 2 O 6 A1 2 O 3 12 Si0 2 15 H 2 = Na 12 (S A i Al Al &) 15 H 2 0, 
 
 from (b) the substance 
 
 8 Na 2 O 6 A1 2 3 12 Si0 2 7 H 2 = Na 16 (S A i Al Al Si) 7 H 2 0, 
 
 and from (c) the silicates 
 
 6 Na.O 6 A1 2 3 12 Si0 2 15 H 2 = Na 12 (Si Al Al &) 15 H 2 and 
 8 Na 2 6 A1 2 3 12 SiO 2 - 7 H 2 O = Na^Si Al Al Si) 7 H 2 ; 
 
 2. By treating the silicates (see Appendix, Lemberg Series B). 
 (a) 6 Na 2 6 A1 2 3 12 Si0 2 = Na 12 (Si Al Al Si), 
 
 (6) 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 O = Na 6 (S A i Al Si) 6 H 2 0, and 
 
 (c) 3 K 2 3 A1 2 3 18 Si0 2 
 
 / 
 = K 6 ( 
 
 v 
 
42 CONSEQUENCES OF THE H.P. THEORY 
 
 with sodium silicate, he obtained from (a) and (6) the substance 
 
 f / /SiO 
 (3 Na 2 3 A1 2 3 15 Si0 2 7J H 2 0) 2 = \ Na 6 Al Si H, 15 H 2 0, 
 
 1 V X Si'J 
 and from (c) the compound 
 
 3 Na 2 3 A1 2 8 12 Si0 2 6 H 2 = Na 6 (S A i Al - Si) 6 H 2 O ; 
 3. From the silicate 
 (0.5 Na 2 2.5 CaO 3 A1 2 3 18 Si0 2 20 H 2 0) 2 =- 
 
 by treatment for fifteen months at 100 with 20 per cent, sodium 
 carbonate solution he obtained the compound (see Appendix, Table 
 II, No. 44) 
 
 (/ /Si\ 
 Na 6 Alf Si 
 V X SI/ 
 
 and by treatment for two months at 100 with a 25 per cent, solution of 
 sodium silicate, the substance 
 
 3 Na 2 3 A1 2 3 - 12 Si0 2 6 H 2 O = Na 6 (S A i Al Si) - 6 H 2 ; 
 
 4. From the silicates : 
 
 6 H 2 O 6 A1 2 3 12 Si0 2 6 H 2 = H 12 (Si Al Al Si) 6 H 2 O, 
 
 6 Na 2 O 6 A1 2 3 12 Si0 2 = Na 12 (Si Al Al Si), 
 
 6 Na 2 O 6 A1 2 O 3 18 SiO 2 12 H 2 ,= Na 12 (Si Al - Si Al Si) 12 H 2 0, 
 
 3 Na 2 3 A1 2 O 8 12 SiO 2 6 H 2 = Na 6 (Si Al Si) 6 H 2 0, 
 
 3 K 2 3 A1 2 3 12 SiO 2 = K 6 (Si Al S A i), and 
 
 2 -15H 2 0, 
 
 3K 2 3 A1 2 3 18 Si0 2 
 
 . / , / S K 
 
 = K 6 (Ale-Si I 
 
 v 
 
 by treatment with a mixture of sodium chloride and caustic soda 
 (see Appendix, Lemberg Series A) he obtained a " sodalite " : 
 
 (6 Na 2 O 6 A1 2 3 12 Si0 2 ) 4 NaCl 4 H 2 
 
 = Na 12 (Sll M M Si) 4 NaCl - 4 H 2 ; 
 5. From 
 
 3 K 2 3 A1 2 3 12 Si0 2 = K 6 (Si Al Si), and 
 
 / \ 
 3 K 2 3 A1 2 3 18 Si0 2 = K 6 Al^Si 
 
 V \QV 
 
GENETIC RELATIONSHIPS 43 
 
 he obtained the " sodalite " 
 
 (6 K 2 6 A1 2 8 12 Si0 2 ) 2 KC1 8 H 2 
 
 = K 12 (Si - Al Al Si) 2 KC1 8 H 2 O, 
 by treatment with a mixture of potassium chloride and caustic potash. 
 
 6. From the silicates : 
 
 6 H 2 O -6 A1.0, 12 SiO 2 6 H 2 = BC^Si - Al Al Si) 6 H 2 0, 
 6 Na 2 6 A1 2 3 18 Si0 2 12 H 2 == Na 12 (Si Al Si Al Si) - 12 H 2 0, 
 3 Na 2 3 A1 2 O 3 12 Si0 2 6 H 2 = Na 6 (Si Al Si) 6 H 2 0, 
 3K 2 3 A1 2 3 12 Si0 2 = K 6 (Si Al Si), 
 
 3 Na 2 3 A1 2 3 18 SiO a = Na 6 ( Al^S'i 
 
 X S 
 
 A 
 3K 2 3 A1 2 3 18 Si0 2 
 
 and a mixture of sodium sulphate and caustic soda he obtained the 
 " sodalite " 
 
 (6 Na 2 6 A1 2 3 12 Si0 2 ) 2 Na 2 S0 4 6 H 2 
 
 = Na 12 (Si Al Al Si) 2 Na 2 S0 4 6 H 2 ; 
 
 7. From the compounds : 
 
 6 H 2 -6 A1 2 3 12 Si0 2 6 H 2 = H 12 (Si Al Al S'i) 6 H 2 0, 
 6 Na 2 6 A1 2 3 12 Si0 2 = Na 12 (S A i Al Al Si), 
 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 = Na 6 (S A i Al Si) 6 H 2 0, 
 3 K 2 3 A1 2 3 12 SiO a = K 6 (Si Al Si), 
 
 3 Na 2 3 A1 2 3 18 Si0 2 
 
 and sodium silicate he obtained the " sodalite " 
 
 (6 Na 2 O 6 A1 2 3 12 Si0 2 ) 2 Na 2 Si0 3 8 H 2 
 = Na 12 (S A i - Al Al Si) 2 Na 2 Si0 3 8 H 2 O ; 
 
 8. From the silicates : 
 
 6 H 2 O -6 A1 2 3 12 Si0 2 6 H 2 O = H 12 (Si Al Al Si) 6 H 2 0, 
 3 Na 2 3 A1 2 3 12 SiO 2 6 H 2 = Na 6 (Si Al Si) 6 H 2 0, 
 3K 2 3 A1 2 3 12 Si0 2 = K 6 (S A i Al Si), 
 
 and a mixture of sodium carbonate and caustic soda he obtained the 
 " sodalite " 
 
 3 (6 Na 2 O 6 A1 2 3 12 Si0 2 ) 4 Na 2 C0 3 30 H 2 O 
 = {Na 12 (Si Al Al Si)}, 4 Na 2 CO 3 30 H 2 0. 
 
44 CONSEQUENCES OF THE H.P. THEORY 
 
 From these researches of Lemberg's a genetic relationship between 
 the compounds of the five following types : 
 
 1. S A i Al Si, 
 
 2. Si Al Al SX 
 
 3. S A i Al S A i Al Si, 
 
 4. Al^Si and 
 
 X Si 
 
 /* 
 
 5. Al^Si 
 
 Si 
 can be traced. This is shown in the folio whig Table : 
 
 Table showing the Results of Lemberg's Researches 
 
 (a) Series 1. 
 
 Si Al . S A i > Si Al Al Si. 
 
 (6) Series 2. 
 
 Si Al Al Si 
 
 / 
 
 S A i Al S A i 
 
 >-Al\^Si 
 
 
 Si 
 
 Si 
 
 
 Al^~Si 
 
 -> S A i Al - S A i 
 
 X S'i 
 
 
 (c) Series 3. 
 
 /% 
 
 / o: 
 
 N Si 
 
 ~^^S A i-Al-Si 
 (d) Series 4, 5, 6, 7 and 8. 
 
 Si Al Si Al Si ^^ 
 
 S A i Al S A i > Si Al Ai Si 
 
 Al^Si 
 
 The experimental researches of Thugutt produce analogous results : 
 By digesting kaolin 139 
 
 (a) 6 H 2 6 A1 2 8 12 SiO. 6 H 2 = H ia (S A i Al Al Si) 6 H 2 0, 
 
GENETIC RELATIONSHIPS 45 
 
 with 2 per cent, caustic potash solution at 192-202 he obtained a 
 
 compound 
 
 (6) 6 K 2 6 A1 2 O 3 18 Si0 2 18 H 2 = K 12 (Si M - Si Al Si) - 18 H 2 ; 
 
 with 1 per cent, caustic soda solution, a compound 
 
 (c) 6 Na 2 6 A1 2 3 16 Si0 2 10 H 2 = Na 12 (Si Al S'i Al - S7) -10 H 2 0; 
 with a mixture of caustic potash and potassium silicate two products 
 
 (d) 3 H 2 O 6 Kj.0 6 A1 2 3 15 Si0 2 6 H 2 
 
 = H 6 K 12 (Si Al Si Al Si) 6 H 2 0, 
 
 (e) 3 K 2 3 A1 2 3 10 Si0 2 aq. = K.(Si Al Si) aq. 
 
 From the above-mentioned experimental researches of Thugutt a 
 genetic relationship may be shown between the compounds of the 
 types : 
 
 (a) Si Al Al Si, 
 
 (6) Si Al Si Al S A i, 
 
 (c) Si Al Si - Al Si, 
 
 (d) Si Al Si Al Si, 
 
 (e) Si Al Si. 
 
 From these results it follows that compounds of type (a) may be 
 converted into those of type (&), (c), (d), and (e). 
 
 Friedel has, however, found that compounds such as 
 
 S A i Al Al Si 
 
 can also be converted into those of other types. By treating muscovite : 
 4 H 2 2 K 2 6 A1 2 O 3 - 12 SiO, = H 8 K 4 (S A i Al Al Si), 
 
 with a mixture of potassium silicate and potassium carbonate, 
 Friedel 140 obtained the compound 
 
 A 
 
 i0 2 = K 6 (^ S A i) 
 V \fc/ 
 
 3 K 2 - 3 A1 2 8 - 18 SiO 
 
 Interesting conversions of aluminosilicates have also been observed 
 in Nature (pseudomorphous processes) ; these give results analogous 
 to the experimental researches just mentioned. 
 
 Analcime 141 
 
 3 Na 2 O 3 A1 2 3 12 Si0 2 = Na 6 (S A i Al Si) 
 can change into muscovite 
 
 4 H 2 2 K 2 6 Al,0 8 12 Si0 2 = ft j 4 (& Al - Al Si), 
 and prehnite 
 
 12 CaO 6 A1 2 0, 18 Si0 2 6 H 2 O == Ca 12 (Si Al S'i Al Si) 6 H 2 O. 
 
46 CONSEQUENCES OF THE H.P. THEORY 
 
 The silicates : 
 
 6 Na 2 O 6 A1 2 3 12 Si0 2 (nepheline) = Na 12 (Si Al Al Si), 
 
 3K 2 3 A1 2 3 12 SiO a (leucite) = K 6 (Si Al Si), 
 
 6 Na 3 6 A1 2 3 12 Si0 2 4 NaCl (sodalite) = Na 12 (S A i Al Al Si) 
 
 4 NaCl, 
 
 3 CaO 3 A1 2 3 12 Si0 2 12 H 2 (laumontite) = Ca 3 (S A i Al Si) 12 H 2 
 may all change into analcime 142 
 
 3 Na 2 3 A1 2 3 12 Si0 2 = Na(Si - Al Si). 
 In Nature, orthoclase 143 
 
 / /S A K 
 3 K 2 3 A1 2 3 18 Si0 2 = K 6 Ai(~Si I 
 
 v x sr 
 
 has also been found to change into 
 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 (kaolin) = H 12 (Si Al Al Si) - 6 H 2 
 
 3 Na 2 3 A1 2 3 12 Si0 2 (analcime) = Na(Si Al Si) 
 
 6Na 2 6 A1 2 3 18 Si0 2 12 H 2 (natrolite) = Na 12 (S A i-Al-SVAl-S A i)-12 H 2 
 
 2 H 2 8 CaO 6 A1 2 3 12 Si0 2 (epidote) = H 4 Ca 8 (Si Al Al S'i) 
 
 3 H 2 3 A1 2 3 12 Si0 2 (pyrophillite) = H 6 (Si Al Si) 
 
 3 Na 2 3 A1 2 8 18 Si0 2 (albite) = Na 
 
 / , 
 a 6 | Al^-Sl I 
 
 4 H 2 2 K 2 6 A1 2 3 12 Si0 2 (muscovite) = H 8 K 4 (Si Al Al Si). 
 Natural orthoclase 144 is formed from 
 3 CaO 3 A1 2 3 12 Si0 2 (laumontite) = Ca,(Si Al Si), 
 3 Na 2 O 3 A1 2 3 12 Si0 2 (analcime) = Na 6 (Si Al S*i), 
 3 K 2 O 3 A1 2 3 12 Si0 2 (leucite) = K 6 (Si Al Si), and 
 12 CaO 6 A1 2 3 18 Si0 2 (prehnite) = Ca 12 (Si Al - S'i Al S'i). 
 Leucite 145 
 
 3 K 2 3 A1 2 8 12 Si0 2 = ,(Si - Al Si), 
 may be changed into nepheline : 
 
 6 Na 2 O 6 A1 2 3 12 Si0 2 = Na l2 (Si Al A! Si), 
 and nepheline into natrolite : 
 
 6 Na 2 6 A1 2 3 - 18 Si0 2 12 H 2 = Na 12 (Si Al Si Al Si) 12 H 2 0, 
 etc., etc. 
 
 Table showing the Natural Changes of the Aluminosilicates 
 
 1. Si-Al-Si- -^^^^^ 
 
 * Si Al Si Al Si 
 
 2. Si-Al-Ai-Si-Z^? 1 '^' 8 }^' 8 ' 
 
 - > Si Al Si 
 
CHANGES IN ALUMINOSILICATES IN NATURE 47 
 
 S'i .sr Si Al Al S*i 
 
 -Si > 
 
 "Si ^ Si Al Si 
 
 3. Air- Si > Si Al S A i Al Si 
 
 4. Si - Al - Si * A^ 
 
 Si-Al-Sl-Al-Si " X $ 
 
 In consequence of the great variety of silicates, the various products 
 formed from them by the action of the weather are naturally very 
 numerous. The members of the felspar group are particularly dis- 
 tinguished by the multiplicity of their products. For instance, 
 potash-felspar is converted, on weathering, into kaolin, whilst other 
 weather-products (in the formation of which water as well as air is 
 necessary) are muscovite and epidote, with, less frequently, chlorite 
 and zeolite. Lime felspar, on weathering, forms calcareous zeolite 
 (chabasite, phillippsite, desmine, heulandite, and, less frequently, 
 laumontite, skelezite, etc.). Soda felspar forms sodic zeolites (anal- 
 cime, natrolite, etc.). 
 
 The scapolite minerals, on active weathering, produce epidote, 
 albite, biotite or muscovite and, finally, kaolin. 
 
 The tourmalines are seldom affected by the weather, but if so they 
 produce mica, chlorite, etc. 
 
 Some zeolites (analcime, laumontite, prehnite) are converted into 
 felspars on exposure to the weather. The zeolites may also be converted 
 into other zeolites, as natrolite into prehnite, analcime into natrolite, 
 and chabasite into natrolite. 
 
 The researches of Lemberg, Thugutt, and Doelter have shown that 
 zeolites are easily converted into other compounds by addition to, 
 subtraction from, or replacement of, some of their constituents. 
 
 Vernadsky 713 has observed that when granite is fused, aluminosili- 
 cates (e.g. anorthite) and orthosilicates (e.g. olivine) are produced, as 
 in the researches of Doelter and others. The granites may also be 
 formed by a reverse reaction from orthosilicates and aluminosilicates 
 at a high temperature. Granites are also converted into mica, chlorite, 
 minerals of the nepheline group, clays, etc. 
 
 All these changes are in accordance with the second consequence 
 of the new hypothesis, and the existence of a genetic relationship 
 between the various aluminosilicates may now be regarded as a fact 
 which is established beyond dispute. The nature of this relationship 
 can also be satisfactorily explained by the proposed theory. 
 
 Ill 
 
 The hexite-pentite hypothesis renders possible a system of com- 
 plete chemical classification of the aluminosilicates on the basis of 
 their nature as complex anhydrides. 
 
48 CONSEQUENCES OF THE H.P. THEORY 
 
 In order to see how far the consequences of accepting this theory 
 agree with the facts, it was decided to calculate the formulae of a 
 large number of the analyses of aluminosilicates published in Hintze's 
 " Handbuch." 
 
 As some atoms or atomic groups can be replaced by analogous ones 
 e.g. the atoms K, Na, Li or Ca, Mg, Fe", or the atomic groups 
 A1 2 O 3 , Fe 2 3 , Cr 2 3> Mn 2 3 , etc., or Si0 2 , Ti0 2 , etc. it was con- 
 sidered desirable to make the calculation of the formulae in such a 
 manner that, instead of calculating the number of atoms of each 
 substance separately, the replaceable substances were taken together 
 in groups, thus : 
 
 Si,Al 2 (Ca, Na 2 , K 2 )0 18 6 H 2 (desmine), 146 
 
 (Si 2 5 ) 2 Al(Li, Na, H) (petalite), 147 
 
 (Si, Ti) 6 12 (Fe, Mn) (Na, K), (neptunite). 148 
 
 This method of simplifying the calculation is due to Berzelius 149 , 
 who recommended its use not for all cases, but for those in which the 
 constituents of a substance bear no simple relation to each other. 
 
 Gerhardt 150 , who undertook a re-formulation of the silicates, did 
 not follow the suggestion of Berzelius, but added the various bases (such 
 as lime and magnesia) together, even when they bore a simple relation 
 to each other. The authors of the present volume prefer, however, 
 to adopt a grouping which more closely resembles that of Berzelius. 
 
 By this means it is possible to convert the true formula * the 
 interpretation of which is almost impossible on account of the presence 
 of a number of substances in small quantities into a formula which 
 is simpler, and in many cases but not all to produce a formula which 
 may be interpreted with ease. 
 
 In re-arranging the formulae, the authors have endeavoured to 
 keep as near to the true formula as possible, so as to obtain results as 
 quantitative as well as merely qualitative value. In many instances 
 this led to apparently complex formulae, but even these may be 
 represented atomically. 
 
 Calculations, by this means, of the formulae from a large number 
 of analyses of clintonite, mica, scapolite, orthochlorite, tourmaline, 
 and felspar, showed that many compounds of this group may be 
 arranged quite systematically, according to the type to which they 
 belong. The results of this calculation of the formulae from the 
 analytical figures are given in the Appendix. The following types are 
 selected because a large number of the compounds previously men- 
 tioned will be found to fit them. 
 
 * The conversion of all the analytical figures into molecular ratios is termed the 
 "true formula" as distinct from the approximate formula due to the simplification 
 proposed. 
 
CALCULATION OF FORMULAE 49 
 
 A. Types of the Clintonite Group * 
 
 I. R Si R =6 R 2 O 8 6 Si0 2 , 
 
 II. R-Si-R = 5R 2 3 - 6Si0 2 , 
 
 III. Si-R-R^-Si = 6 R 2 3 12 SiO 2 , 
 
 IV. Si-R-RT-Si = 5 R 2 3 12 Si0 25 
 V. Si R Si R Si = 6 R 2 8 18 Si0 2 , 
 
 VI. Si-R -Si -R -Si = 6 R 2 3 16 Si0 2 , 
 
 VII. R Si R Si R = 9 R 2 3 12 Si0 2 , 
 
 VIII. R-Si-R-S A i-R = 8 R 2 O 3 12 Si0 2 , 
 
 IX. Srr-R = 9R 2 S - 6Si0 2 , 
 
 * 
 
 xX> 
 
 X. { Si(-R ) t =15 R 2 8 12 Si0 2 . 
 
 B. 
 
 Types of the Mica Group 
 
 S'i ft 
 
 Si 
 
 
 = 3 
 
 R 2 8 - 
 
 12 Si0 2 , 
 
 SI-R- 
 
 Si 
 
 
 = 3 
 
 R 2 8 - 
 
 10 Si0 2 , 
 
 .A 
 
 
 
 
 
 
 Rr~Si 
 
 
 
 = 3 
 
 Ra0 8 - 
 
 18 Si0 2 , 
 
 Si 
 
 
 
 
 
 
 &-Si 
 
 
 
 = 3 
 
 R 2 3 - 
 
 15 SiO a , 
 
 X Si 
 
 
 
 
 
 
 R-Si- 
 
 R 
 
 
 = 6 
 
 R 2 8 - 
 
 6 Si0 2 , 
 
 R - S A i - 
 
 R 
 
 
 = 5 
 
 R 2 3 - 
 
 6 Si0 2 , 
 
 S A i-R- 
 
 R 
 
 -Si 
 
 = 6 
 
 R 2 3 - 
 
 12 SiO 2 , 
 
 Si-R- 
 
 R 
 
 Si 
 
 = 6 
 
 R 2 O 3 - 
 
 10 Si0 2) 
 
 Si-R- 
 
 R 
 
 Si 
 
 = 5 
 
 R 2 3 - 
 
 12 Si0 2 , 
 
 S A i-R- 
 
 Si 
 
 R Si 
 
 = 6 
 
 R 2 3 - 
 
 18 Si0 2 , 
 
 Si-R- 
 
 Si 
 
 R -Si 
 
 = 6 
 
 R 2 3 - 
 
 16 Si0 2 , 
 
 Si-R- 
 
 Si 
 
 R S A i 
 
 = 5 
 
 R 2 O 3 - 
 
 18 Si0 2 , 
 
 R-Si- 
 
 R 
 
 -Si-R 
 
 = 9 
 
 R 2 3 - 
 
 12 Si0 2 , 
 
 I. 
 II. 
 
 III. 
 
 IV. 
 
 V. 
 
 VI. 
 
 VII. 
 
 VIII. 
 
 IX. 
 
 X. 
 
 XI. 
 
 XII. 
 
 XIII. 
 
 XIV. Si - R Si R Si R ST= 9 R 2 3 20 SiO 2 . 
 
 * In the Appendix the types are arranged in the order of the R 2 O 3 present ; on the 
 present page they are placed according to their relationship with respect to their 
 chemical structure. 
 
SO CONSEQUENCES OF THE H.P. THEORY 
 
 C. Types of the Scapolite Group 
 
 I. S A i R Si =3 R 2 3 12 Si0 2 , 
 
 II. Si R Si =3 R 2 3 10 Si0 2 , 
 
 III. Si R R Si =6 R 2 3 12 Si0 2 , 
 
 , IV. Si R R S A i =5 R 2 3 12 Si0 2 , 
 
 V. Si R Si R Si =6 R 2 3 18 Si0 2 , 
 
 VI. Si R S A i R Si =6 R 2 3 16 Si0 2 , 
 
 VII. Si R Si R Si =5 R 2 3 18 Si0 2 , 
 
 VIII. Si R Si Si R Si =6 R 2 3 22 Si0 2 , 
 
 IX. Si R Si Si R Si =5 R 2 3 22 Si0 2 , 
 
 X. Si-R-Sl-R-Si-R-Sl=9 R 2 3 20 Si0 2 , 
 
 XI. R^-Si = 3 R 2 3 15 Si0 2 . 
 
 X Si 
 
 D. Types of the Orthochlorite Group 
 
 I. Si R Si =3 R 2 3 12 Si0 2 , 
 
 II. Si R Si =3 R 2 3 10 Si0 2 , 
 
 III. R^Sl = 3 R 2 3 18 Si0 2 , 
 
 X Si 
 
 IV. R^-Si = 3 R 2 3 15 Si0 2 , 
 
 X Si 
 
 V. R Si R =6 R 2 O 3 6 Si0 2 , 
 
 VI. ?'Si*R =5R 2 3 - 6Si0 2 , 
 
 VII. S'i R R S'i =6 R 2 3 12 Si0 2 , 
 
 VIII. Si R R Si =6 R 2 O 3 10 Si0 2 , 
 
 IX. Si R R Si =5 R 2 3 12 Si0 2 , 
 
 X. S'i R Si R Si =6 R 2 3 18 Si0 2 , 
 
 XL Si-R-Si-R-Si = 5 R 2 3 18 Si0 2 , 
 
 XII. Si R S'i R Si =6 R 2 3 16 Si0 2 , 
 
 XIII. R S'i R Si R =9 R 2 3 12 Si0 2 , 
 
 XIV. R Si R Si R =8 R 2 3 12 Si0 2 , 
 XV. Si R S'i Si R Si = 5 R 2 3 22 Si0 2 . 
 
 E. Types of the Tourmaline Group 
 
 I. R S'i R Si R = 9 R 2 3 12 Si0 2 , 
 
 II. R S'i R S A i R = 8 R 2 3 12 Si0 2 , 
 
 III. R-Si-R = 5R 2 3 - 6Si0 2 . 
 
DIFFERENTIAL BEHAVIOUR OF ATOMS 51 
 
 F. Types of the Felspar Group 
 
 I. Si R Si Si R Si = 6 R 2 O 3 24 Si0 2} 
 
 II. Si R S A i Si R Si = 6 R 2 3 22 Si0 2 , 
 
 III. Si R Si Si R Si = 6 R 2 O 3 20 Si0 2 , 
 
 IV. Si - R Si Si R Si = 5 R 2 3 24 Si0 2 , 
 V. Si R Si Si R Si = 5 R 2 3 22 Si0 2 . 
 
 A large number of aluminosilicates may be arranged according to 
 the authors' system (see Appendix). Whether this classification is 
 suitable for all aluminosilicates can only be ascertained by means 
 of more analyses and by calculating more formulae. 
 
 IV 
 
 The structural formulae devised by the authors show that the 
 aluminium and silicon atoms in an aluminosilicate do not always 
 behave the same in chemical and physico-chemical investigations. 
 Under certain circumstances some of these atoms behave differently 
 from the remainder, and the same is true of the monovalent and 
 divalent elements in these compounds. 
 
 It not infrequently happens that the hydroxyl groups which form 
 the "water of constitution" in the aluminosilicates are replaced by the 
 halogens : fluorine, and chlorine. The structural formulae show that, 
 in the latter case, halogen atoms may be united in various ways in a 
 single aluminosilicate and that these atoms must produce different 
 chemical or physico-chemical properties according to their position 
 in the whole molecule. A few examples will make this clearer. 
 
 In type I 
 
 I i 
 
 i i i i 
 
 1. \ of the aluminium, 
 
 2. J of the silicon, 
 
 3. J of the base or hydroxyl groups or the substitutes Cl, Fl, etc. 
 must clearly behave differently from the other f . 
 
 In type II 
 
 II. 
 
 II I I II 
 = /\/\/\/\ = 
 I| Si | A1|A1 Si 
 
 the aluminium and silicon must behave in a manner analogous to 
 those in type I, but J of the base (or the hydroxyl groups and their 
 substitutes) behaves differently from the remainder. 
 
52 CONSEQUENCES OF THE H.P. THEORY 
 
 In type III 
 
 ill. 
 
 only J of the silicon will behave differently from the remainder. 
 In type IV 
 
 IV. 
 
 _AAA 
 
 YYY" 
 
 1. J of the aluminium, 
 
 2. J of the silicon, 
 
 3. J of the base (or the hydroxyl groups or their substitutes) 
 behave differently from the rest. 
 
 In types V and VI 
 
 V. 
 
 I l l I I 
 /\/\/\/\/\ 
 
 "I Si | Al| Si | Al| Si |" 
 
 'YYYYY 
 
 VI. 
 
 I /\/\/\_J 
 
 <Si Al|Si|Al|Si 
 
 "YYY" 
 
 1. J of the aluminium, 
 
 2. f of the base (Type V), or f of it (Type VI) must behave 
 differently from the rest. 
 
 Some of these interesting results are fully confirmed by experiments 
 and researches already published. 
 
 In compounds of type I, such as kaolin, 
 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 = H 12 (Si Al Al Si) 6 H 2 0, 
 nepheline hydrate, 
 
 6 Na 2 O 6 A1 2 3 12 Si0 2 aq. = Na 12 (Si Al Al Si)aq., 
 
 and a number of " sodalites," i.e. derivatives of nepheline hydrate 
 (see p. 59), which, according to Thugutt, are so constituted that part 
 of their " water of crystallisation " is replaced by a given salt (NaCl, 
 Na 2 SO 4 , etc.). The author just mentioned reached precisely the same 
 conclusions as the authors of the hexite-pentite theory, viz. that one- 
 third of the aluminium behaves differently from the remainder. 
 Thugutt therefore suggests the following constitutional formulae : 
 
 2 H 2 Al 2 Si 3 O 10 H 2 A1 2 O 4 3 H 2 (kaolin), 
 
 4 (2 Na 2 Al 2 Si 3 Oio Na 2 Al 2 3 ) - 15 H 2 O (nepheline). 
 
STRUCTURE OF KAOLINS AND EPIDOTES 53 
 
 P. Silber (p. 25) has shown that the behaviour of the compound : 
 6 Na 2 6 A1 2 3 12 SiO a (nepheline) = Na 12 (Si Al Al Si) 
 
 of the same type towards gaseous hydrochloric acid and silver solutions 
 indicates that J of the sodium behaves differently from the remainder, 
 and thus confirms the hexite-pentite theory. 
 
 The authors believe that confirmation of the constitution of com- 
 pounds of type II is to be found in a new set of formulae for the 
 epidotes (see Appendix). The minerals in this group are chiefly com- 
 pounds of type II with the general formula : 
 
 2 H 2 8 CaO 6 R 2 3 12 Si0 2 = H 4 Ca 8 (Si R R - Si) 
 R = Al, Fe. 
 
 The constancy of the ratio of lime to " water of constitution " in 
 these minerals makes it highly probable that of the hydroxyl groups 
 in the acids corresponding to these minerals behaves differently from 
 the remainder. 
 
 By replacing part of the aluminium by Fe'" in the formula 
 
 2 H 2 8 CaO 6 A1 2 3 12 Si0 25 
 
 the various epidotes are produced and no epidote has yet been found 
 with a higher content than is shown in the formula (see Appendix) : 
 
 2 H 2 8 CaO 2 Fe 2 3 4 A1 2 3 12 SiO a . 
 
 It appears probable that, under the conditions under which 
 epidotisation can occur in Nature, only those aluminium atoms which 
 are indicated by a dot in the formula below can be replaced by Fe== 
 
 Si Al Al Si 
 \/\./\./\/ 
 
 For the prognosis of type III, Thugutt's work on a compound of 
 this type potash felspar : 
 
 3 K 2 3 A1 2 3 - 18 Si0 2 = K 6 
 
 is important. According to Thugutt, this substance, on treatment 
 with 2 per cent, caustic potash solution, loses silica and forms other 
 compounds which are incapable of exact analysis, but, so far as he has 
 ascertained it, their composition agrees with the theory formulated 
 by the authors, viz. that the constitutional formula of potash felspar 
 (which, according to Thugutt, is 2 K 2 Al 2 Si 3 10 K 2 A1 2 4 12 Si0 2 ) 
 suggests that J of the silicon behaves differently from the remainder. 
 A partial confirmation of the prognosis of type IV appears to be 
 
54 CONSEQUENCES OF THE H.P. THEORY 
 
 supplied by the composition of the minerals known by the general 
 name of " topaz." Calculations of the formulae of these compounds 
 from a number of analyses (see Appendix) showed that they belong, 
 in part, to type IV and may be represented by : 
 
 1. Si 6 Al 12 Fl 8 26 , 
 
 2. Si 6 Al 12 Fl 9 25 . 5 , 
 
 3. SieAl 12 Fl 10 O 25 , 
 
 4. SioAl^Fl^O^.s, 
 
 5. Si 6 Al 12 Fl 12 O 24 . 
 
 These formulae are based on the assumption that one atom of 
 oxygen may be replaced by two of fluorine. 
 
 It appears probable that the hydrogen present in these compounds 
 has been overlooked. 
 
 If this assumption is admitted and the presence of hydrogen has 
 been independently proved by (a) Jannasch and Locke 128 and (b) 
 Penfield and Minor the topazes are derived from the hydrate : 
 
 V ' 
 
 AllSilAl 
 
 I II I 
 SiAl 12 24 (OH) 12 
 
 The researches of Penfield and Minor showed that water in a strongly 
 combined state is present in the topazes. In an investigation of topaz 
 from Stoneham, which contained 0-98 per cent, of water, the powder 
 lost only 0-12 per cent, at the highest temperature obtainable by means 
 of a ring-burner (see Penfield and Minor, Zeitschr. f. Krystallogr. u. 
 Mineral. 1894, 23, 321). It is thus clear that the water contained in 
 topaz may easily be overlooked. The investigators just quoted have 
 found that the water is liberated quantitatively on fusing a topaz with 
 sodium carbonate. The correctness of the view that topaz contains 
 water in the form of OH-groups is also confirmed by the following 
 interesting characteristics of topaz : the specific gravity, the double 
 refraction, the apparent angle of the optical axes (2 e) and the crystallo- 
 graphic axis-ratio, all of which, according to Penfield and Minor, vary 
 with the proportion of hydroxyl in the topaz molecule. 
 
 Assuming, with Jannasch 128 , that the hydroxyl groups in topaz 
 may be replaced by fluorine, or vice versa, regarding the Stadler topaz : 
 
 Fl Fl a Fl 
 
 I u I 
 
 I Ml I 
 
 Fl F1 2 Fl 
 
 as the mother-substance and replacing the fluorine in the latter by 
 hydroxyl groups, the formulae of the following theoretically possible 
 topazes are obtained : 
 
THE STRUCTURE OF TOPAZ AND GRANITE 55 
 
 Si 6 Al 12 24 Fl(OH) 11 , 
 Si fl Al 12 24 Fl 2 (OH) 10> 
 Si 6 Al 12 24 Fl 3 (OH) 9 , 
 Si 6 Al 12 24 Fl 4 (OH) 8 , 
 
 Si 6 Al 12 24 Fl 12 . 
 
 In agreement with this assumption, it has been found by actual 
 analysis that there is a definite maximum proportion of fluorine no 
 topaz being known which contains a larger percentage than the Stadler 
 variety. There also appears to be a minimum, as no topaz is known 
 which contains less than eight atoms of fluorine to six atoms of silica. 
 This interesting result is most easily explained by stating that fluorine 
 atoms which are united to silicon, but not to aluminium (see the 
 structural formula of the Stadler topaz), are easily replaced by hydroxyl 
 under natural conditions, or that J of the fluorine behaves differently 
 from the remainder. 
 
 The probability of the authors' structural formula for topaz is 
 also confirmed by the chemical investigations of Rammelsberg, who 
 observed that on heating topazes to redness, part of the fluorine 
 escapes as silicon fluoride and part as aluminium fluoride. 
 
 Further investigations must show that the ratio of the fluorine lost 
 in the form of silicon fluoride to that lost as aluminium fluoride is 1 : 2. 
 
 The prognoses of types V and VI are partially confirmed by a 
 re-calculation of the analyses (see Appendix) of a number of 
 granites 129 by K. H. Schnerr. 
 
 This re-calculation gives the following formulae : 
 
 20 jo 90 jo 90 jk 10 90 i o 
 
 5^2^ 90 $ ^ t 90* 
 
 II I II I II ^ I II I z 
 
 i == /\./\./\./\./\ =1 o y /\./\./\ 
 
 r J Si I R I Si j R I Si L| l0== \Si_| R | Si | R [Si/ =1 
 
 II i ll I ii 90 i H i 90 
 
 9 1 9 1 9 10 90 TO " 
 
 ^ 2 " 2 " 2 ^ 2 
 
 18 RO 6 R 2 3 18 Si0 2 16 RO - 6 R 2 8 16 Si0 2 
 
 A. B. 
 
 These agree with the theory that J of the aluminium behaves 
 differently from the remainder. The aluminium atoms indicated by 
 dots may be replaced by Fe= ; compounds of type A may contain a 
 maximum of 4 Fe 2 O 3 . 
 
 Although Schnerr refers to granites in which the whole of the 
 
 * It is convenient to represent the atomic groups 
 OR"\ O,\ 
 
 >0, _o>R', -Or (r=pl') 
 
 by 2, 1 and respectively (see also p. 166) 
 
56 CONSEQUENCES OF THE H.P. THEORY 
 
 aluminium has been replaced by iron, experience shows that the atoms 
 indicated by dots are the ones most easily replaceable by iron. 
 
 It happens that those aluminium atoms in the granites which are 
 the most easily replaceable by iron are the very ones which, in the 
 epidotes, are incapable of substitution, and a closer study of the 
 structural formulae of these two groups of substances leads to the 
 conclusion that the epidotes are acid salts whilst the granites are basic 
 ones. The presence of a base weakens the attraction between the 
 silicon and aluminium ring radicles, and thereby facilitates the 
 substitution of the aluminium by iron at the points indicated. 
 
 The consequences of the authors' hypotheses mentioned in this 
 section agree with the experimental results of other investigators. 
 
 From the hexite-pentite hypothesis it follows that there must be a 
 minimum molecular weight for the aluminosilicates. Thus, the 
 formulae of the compounds 
 
 Na 2 A1 2 3 2 Si0 2 , 
 Na 2 A1 2 O 3 3 Si0 2 , 
 
 must be at least sextupled, and those of 
 
 Na 2 A1 2 3 6 Si0 2 , 
 Na 2 A1 2 3 5 Si0 2 , and 
 Na 2 O A1 2 3 4 Si0 2 , 
 
 must be at least tripled, in order that they may be represented in 
 accordance with the new theory. How does this agree with the facts ? 
 In many cases the theoretically minimum molecular weight may be 
 ascertained from an analysis of the substance or from certain definite 
 considerations. In this connection, one of a series of silicates : 
 
 / A 
 
 (a) 0.5 Na 2 O 2.5 CaO 3 A1 2 3 18 Si0 2 20 H 2 = R 6 | Al Si I 20 H 2 O 
 
 V X Si' 
 
 examined by Lemberg (see Appendix, Table II) is interesting. 
 
 By treating the silicate (a) with salt solutions, Lemberg obtained 
 the following compounds : 
 
 .A 
 
 I. 3 K 2 3 A1 2 3 18 Si0 2 H 2 = K 6 | Ab 
 
 V X Si> 
 
 / A\ 
 II. 3 K 2 3 A1 2 3 18 Si0 2 13 H 2 = K 6 ( Al^-Si I 13 H 2 0, 
 
 V X Si' 
 
 (/i 
 Al(-Si 1 8 H 2 0, 
 x sV 
 
CONSTITUTION OF THE MESOLITES 57 
 
 IV. 3 Na a O 3 A1 2 3 18 Si0 2 16 H 2 = NaJ Al^-Si | 16 H 8 0. 
 By treating silicate (a) with alkali he obtained 
 
 V. (3 Na 2 O 3 A1 2 3 15 Si0 2 7.5 H 2 0) 2 
 
 / * X_\ 
 Na 6 j Al^-Si 
 
 \ X Si/ 
 
 and from the latter and potassium chloride the substance 
 
 VI. (3 K 2 - 3 A1 2 3 15 Si0 2 1.5 H 2 0) 2 = 
 
 Kefil^l) 
 V X Si/ 
 
 15 H 2 0, 
 
 3H 2 0. 
 
 In the case of the compounds I, II, III, IV, and the silicate (a) 
 from which they are derived, the minimum molecular weight may be 
 found from the analyses ; the formation of compound V from silicate 
 (a) and of VI from V are quite inexplicable if a smaller molecular 
 weight than is required by the hexite-pentite theory is assumed for 
 compounds V and VI. 
 
 A second instance of interest in this connection is the mode of 
 formation of the potassium salt 
 
 3 K 2 3 A1 2 3 12 Si0 2 H 2 = K 6 (Si - Al - Si) H 2 0, 
 from the sodium salt 
 
 Na 2 A1 2 3 4 Si0 2 2 H 2 0, 
 
 as observed by Lemberg (see Appendix, Table II). This can only be 
 understood if the molecular weight of the original material the sodium 
 salt is tripled ; the theoretically minimum molecular weight is then 
 indicated. 
 
 The number of instances in which the theoretically minimum 
 molecular weight may be ascertained from analysis is somewhat large, 
 as may be seen from the authors' re-calculation of the formulae of a 
 large number of silicate analyses. From the numerous examples 
 available, the new formulae of the mesolites (see Appendix) may be 
 mentioned here. 
 
 Formulae of the Mesolites 
 
 (a) 2 Na 2 4 CaO 6 A1 2 O 3 18 Sip, -15 H 2 0^ 
 
 = Na 4 Ca 4 (Si Al Si M Si) 15 H 2 0, 
 
 (6) (1.5 Na 2 5.5 CaO 6 A1 2 3 18 Si0 2 22 H 2 0) 2 ^ 
 
 = {Na 3 Ca 6 . 5 (Si AL Si Al Si)} 2 44 H 2 0, 
 
 (c) (Na 2 3.5 CaO 6 A1 2 3 17 Si0 2 15 H/)), 
 
 = {Na 2 Ca 3 . 5 (Si Al Si Al Si)} 2 30 H 2 0, 
 
 (d) (2 Na 2 3.5 CaO 6 A1 2 O 3 17 Si0 2 15 H 2 0) 2 
 
 = {Na 4 Ca 3 . 5 (Si M Si Al Si)} a 30 H 2 0, 
 
58 CONSEQUENCES OF THE H.P. THEORY 
 
 (e) 2 Na 2 4 CaO 6 A1 2 3 16 Si0 2 12 H 2 
 
 = Na 4 Ca 4 (Si Al Si Al Si) 12 H 2 0, 
 (/) 2 Na 2 3 CaO 6 A1 2 3 16 Si0 2 -15 H 2 0^ 
 
 = Na 4 Ca,(Si Al Si Al Si) 15 H 2 0, 
 (g) 2.5 Na 2 3 CaO 6 A1 2 3 16 Si0 2 20 H 2 
 
 = Na Ca,(Si Al - Si Al Si) 20 H 2 0, 
 (h) 1.5 Na 2 3 CaO 6 A1 2 3 15 SiO^ 18 H.O 
 
 = Na 3 Ca 3 (Si Al Si Al Si) 18 H 2 0, 
 (*) 2.5 Na 2 3 CaO 6 A1 2 3 15 Si0 2 13 H 2 O 
 
 = Na 5 Ca 3 (Si - Al - Si Al Si) 13 H 2 0. 
 
 In all the above mesolitic silicates, with the exception of (e), 
 analysis indicates the theoretically minimum molecular weight, and 
 there is no need to doubt that the real minimum agrees with the 
 theoretical one, as otherwise the genetic relationship which is known 
 to exist between these and other members of this group would be 
 inexplicable. 
 
 It is, moreover, particularly interesting to observe that Thugutt 130 
 has, by an entirely different method, reached conclusions regarding 
 the minimum molecular weight of certain aluminosilicates which agree, 
 almost without exception, with the authors' theory. Thugutt's 
 conclusions are also of special value because they are based on the 
 results of actual experiments. On the basis of his previously mentioned 
 researches, Thugutt suggests the following constitutional formula : 
 
 2 K 2 Al 2 Si 3 10 K 2 A1 2 4 12 Si0 2 
 which is equivalent to : 
 
 3 K 2 O 3 A1 2 0, 18 Si0 2 = K e ( 
 
 S A i' 
 the following for nepheline hydrate : 
 
 4 (2 Na 2 Al 2 Si 3 10 Na 2 Al 2 4 ) 15 H 2 
 corresponding to : 
 
 12 Na 2 12 A1 2 3 24 Si0 2 15 H 2 = {Na 12 (Si Al Al Si)} 2 15 H 2 O, 
 and the following for potash mica : 
 
 (a) K 6 H 6 Al 12 Si 18 60 
 = 3 K 2 3 H 2 6 A1 2 3 18 SiO 2 = K 6 H 6 (Si Al Si Al Si), 
 
 (6) K 4 H 8 Al 12 Si 18 60 
 = 2 K 2 4 H 2 6 A1 2 3 18 Si0 2 = K 4 H 8 (Si Al Si Al Si). 
 
 In some silicates the theoretically minimum molecular weight is 
 double that found by Thugutt. Thus, he attributes to potash nephe- 
 line the formula : 
 
 2 K 2 Al 2 Si 3 10 K 2 A1 2 4 , 
 
CONSTITUTION OF THE SODALITES 59 
 
 which, if doubled, gives : 
 
 6 K 2 6 A1 2 3 12 Si0 2 = K 12 (Si Al Al Si). 
 
 The same is true of Thugutt's constitutional formula for potash 
 mica : 
 
 H 2 K 2 Al 4 Si 6 20 H 2 A1 2 4 , 
 which, if doubled, gives : 
 
 2 K 2 4 H 2 6 A1 2 3 12 Si0 2 = K 4 H 8 (Si - Al Al &). 
 
 Equally interesting in this connection are the so-called sodalites.* 
 According to Lemberg's 131 and Thugutt's 132 researches, these are not 
 atomic, but true molecular compounds. This view is opposed to that 
 of other investigators. It is highly probable, from the results of 
 Lemberg's and Thugutt's experiments, that the sodalites are deriva- 
 tives of the sodium nepheline hydrates, and that they are so constituted 
 that a portion of their " water of crystallisation " appears to be 
 replaceable by various salts. If this is really the case, on decomposition 
 they must be capable of forming products which are identical with 
 those from sodium nepheline hydrate. 
 
 Thugutt's researches have shown that, in reality, one-third of the 
 sodium and one-third of the alumina can be removed from the sodalite 
 in the form of aluminate of potash. Natrolite may be formed by the 
 action of potassium carbonate solution, chloride of sodium (or whatever 
 salt may be added) being set free. Thus, the blue chlorosodalite from 
 the elaolite-syenite from Ditro decomposes in accordance with the 
 equation : 
 
 3 Na 2 Al 2 Si 2 8 - 2 NaCl + 2 K 2 C0 8 + 6 H 2 O 
 = 2 Na 2 C0 3 + 2 NaCl + 2 (K 2 Al 2 Si 3 10 3 H 2 0) + Na 2 Al 2 4 . 
 
 (Of. the analogous behaviour of nepheline hydrate, p. 61.) As a result 
 of this reaction, Thugutt considers that the formula of chlorosodalite 
 should be : 
 
 2 Na 2 Al 2 Si 3 10 Na 2 Al 2 4 2 NaCl, 
 
 but as it is a derivative of sodium nepheline hydrate, whose constitu- 
 tional formula is 
 
 8 Na 2 Al 2 Si 3 O 10 4 Na 2 Al 2 4 15 H 2 0, 
 
 this being confirmed by its reaction with potassium carbonate 
 Thugutt's molecular weight of chlorosodalite should be at least quad- 
 rupled ; its constitutional formula then becomes : 
 
 8 Na 2 Al 2 Si s O 10 4 Na 2 Al 2 O 4 8 NaCl. 
 
 If 4 Na 2 SO 4 replaces the 8 NaCl, the constitutional formula of the 
 sulphatosodalite or norsean is obtained ; if the 8 NaCl is replaced by 
 4 Na 2 S 2 that of ultramarine results, and so on. Thugutt has artificially 
 prepared a large number of analogous substances and has allotted 
 molecular weights to them, as shown in the following Table. 
 
 * Another means of representing the constitutional formula of the sodalites 
 atomically is possible and is discussed in connection with the ultramarines (p. 152 
 et seq.). 
 
60 CONSEQUENCES OF THE H.P. THEORY 
 
 Thugutt's Sodalite Series 133 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 Si0 2 ) 
 
 8 
 
 NaCl 4 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 6 
 
 NaBr, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 6 
 
 Nal - 6 H 2 O, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 8 
 
 NaC10 3 2 H 2 O, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 0. B 2 3 8 H 2 O, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 2 
 
 Na 2 I 2 5 . 10 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 8 
 
 NaC10 4 4 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 > 
 
 4 
 
 Na 2 C0 3 12 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 C0 3 18 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 4 
 
 Na 2 Si0 3 16 H 2 O, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 Si0 2 ) 
 
 .3 
 
 Na 2 Si0 3 15 H 2 0, 
 
 12 
 
 Na a O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 4 
 
 Na 2 S0 4 12 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 S0 4 12 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 Cr0 4 - 15 H 2 O, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na,Se0 4 12 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 Mo0 4 21 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 Na. 2 W0 4 13 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 2 
 
 Na 4 P 8 5 12 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 8 
 
 NaN0 3 6 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 P 2 5 18 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 4 
 
 Na 2 HP0 4 14 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 2 
 
 Na 4 P 2 7 14 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 - Aso0 5 - 14 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 S 2 3 9 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 8 
 
 NaOH 4 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 6 
 
 Nal 9 H 2 0, 
 
 12 
 
 Na 2 O 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 8 
 
 HCOONa, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 6 
 
 CH 3 COONa 3 H 2 0, 
 
 12 
 
 Na 2 
 
 2 
 
 (6 
 
 A1 2 3 
 
 12 
 
 Si0 2 ) 
 
 3 
 
 Na 2 C 2 O 4 18 H 2 O. 
 
 The minimum molecular weight of any member of this series may 
 be ascertained from an analysis of the substance, as in the two follow- 
 ing sodalites : 
 
 12 Na 2 O 2 (6 A1 2 3 12 Si0 2 ) 3 Na 2 - B 2 3 8 H 2 and 
 12 Na 2 O 2 (6 A1 2 O 3 12 Si0 2 ) Na 2 W0 4 13 H 2 0. 
 The hexite-pentite theory formulated by the authors of the present 
 volume gives the same molecular weight. Moreover, if the salt- 
 content (in molecules) of a sodalite is represented by 
 
 m2 
 
 and the water- content (in molecules) by 
 
 nH, 
 
 the constitution of these substances may be ascertained from the 
 following formula : 
 
 {Na 12 (Si Al Al Si)} 2 m2 , nH. 
 
 For some micas, Thugutt 134 suggests constitutional formulae with 
 a different molecular weight from that implied by the hexite-pentite 
 theory. Thus, he attributes to two potash micas the formulae : 
 
 K e H 3 Al 12 Si 18 O eo H 6 A1 6 12 = 4.5 K 2 4.5^H 2 9 A1 2 3 18 Si0 2 , 
 K fl H 6 Al 12 Si 18 60 H 6 A1 6 12 = 3 K 2 6 H 2 9 A1 2 3 18 Si0 2 , 
 
CONSTITUTION OF THE SODALITES 61 
 
 whilst the authors of the hexite-pentite theory prefer : 
 
 3 K 2 3 H 2 6 A1 2 3 12 Si0 2 = K,H 6 (Si Al Al - Si), and 
 2 K 2 4 H 2 O 6 A1 2 O 8 12 Si0 2 = K 4 H 8 (Si Al Al Si). 
 
 This contradiction is more apparent than real, and the fact that 
 J of the aluminium in these compounds behaves differently from the 
 remainder is equally well shown in the authors' formulae. Indeed, 
 there appears to be no important reason why Thugutt should not 
 substitute the formulae : 
 
 K e H 2 Al 8 Si 12 40 H 4 A1 4 8 , and 
 K 4 H 4 Al 8 Si 12 40 ' H 4 A1 4 8 , 
 
 for those he has selected, and so obtain formulae which give the same 
 molecular weight as those suggested by the authors. 
 
 Another apparent contradiction to the authors' theory is the 
 nepheline formula calculated by Thugutt from a series of analyses in 
 Hintze's " Handbuch." In this calculation, notwithstanding that he 
 has represented nepheline hydrate and potash nepheline by formulae 
 in which the alumina-silica ratio is 1 : 2, and the great probability that 
 in nepheline itself this ratio is also 1 : 2, Thugutt selects the formula : 
 
 K 2 Na 8 Al 10 Sin0 42 = K 2 4 Na 2 5 A1 2 3 11 Si0 2 ; 
 
 and in accordance with the reaction of this substance with alkaline 
 carbonates he gives 
 
 8 Na 2 Al 2 Si 3 10 4 Na 2 Al 2 4 3 K 2 Al 2 Si 3 10 , 
 
 as the constitutional formula. 
 
 This formula is quite inexplicable by the hexite-pentite theory. 
 
 As a matter of fact, the nepheline analyses by Hintze 135 do not 
 yield a formula in which the alumina-silica ratio is 1:2. Several 
 analyses approach very closely to the formula : 
 
 K 2 4 Na 2 - 5 A1 2 3 12 Si0 2 = K 2 Na 8 (Si Al Al Si). 
 Analyses 
 
 Molecular 
 
 Calculated 
 
 
 
 
 Weights 
 
 Composition 
 
 XXIII 
 
 XXV 
 
 XXIV 
 
 K 2 O = 94 
 
 5.98% 
 
 5.66o/ 
 
 4.76% 
 
 5.05% 
 
 4 Na 2 = 248 
 
 15.77% 
 
 15.71% 
 
 15.97% 
 
 16.35% 
 
 5A1 2 3 = 510 
 
 32.45% 
 
 32.66% 
 
 32.06% 
 
 33.28% 
 
 12SiO 2 = 720 
 
 45.80% 
 
 45.23% 
 
 45.53% 
 
 45.10% 
 
 1572 100.00% 
 
 It is conceivable that the decomposition products of nepheline 
 must be the same as those of nepheline hydrate, as its constitution is 
 analogous, even though it contains a different alumina-silica ratio. 
 
 Thus, the consequences of the hexite-pentite theory do not, as 
 regards minimum molecular weight, contradict the facts. 
 
62 CONSEQUENCES OF THE H.P. THEORY 
 
 VI 
 
 The conclusion has already (see pp. 22 to 26) been reached that, 
 of all the theories devised for showing the constitution of the alumino- 
 silicates,the one which agrees best with the facts is that which assumes 
 that these compounds are complex acids and their corresponding salts. 
 
 It has also been shown that, by the use of the hexite hypothesis 
 respecting the arrangement of the atoms, most of the objections to the 
 " complex acid theory " disappear. Thugutt's discovery that part of 
 the aluminium behaves differently from the remainder and that of 
 P. Silber that in nepheline J of the sodium behaves differently from the 
 other | are not only explicable, but are direct consequences of the 
 theory. A complete classification of a large number of alumino- 
 silicates is also rendered possible ; the felspars, micas, scapolites, etc. 
 need no longer be regarded as belonging to different groups of minerals, 
 but may be considered all to belong to a single class of compounds. 
 They can only be conceived as salts of a definite series of alumino- 
 silicic acids, and the " mixture theory " may be abandoned. 
 
 Only the behaviour of andesite now remains unexplained, and even 
 this will become clear if the following constitutional formula based 
 on the hexite-pentite theory is used : 
 
 Na Na Na 
 I I ! 
 
 i: 
 
 Si Al j Si 
 \/\/\/ 
 
 Ca Ca Ca 
 
 I I I 
 
 /\/\/\ 
 
 I Si I Al Si) 
 
 Na Na Na 
 
 3 Na 2 3 CaO 6 A1 2 3 24 Si0 2 . 
 
 A glance at this structural formula of andesite shows that it will 
 react with NaCl as shown by the following equation : 
 
 Na Na Na 
 
 Na Na Na III 
 
 I I I /\/\/\ 
 
 Al Si 
 
 Si | Al| Si | VVV 
 
 s/\/\/ I I I 
 
 III Na ISa Na 
 
 Ca Ca Ca+6NaCl = + 3 CaCl 2 
 
 III Na Na Na 
 
 I I 
 
 ii 
 
 I I I 
 
 N* 
 
 Na Na Na I I I 
 
 Na Na Na 
 
THE POSSIBILITY OF ISOMERISM 
 
 63 
 
 The complex is decomposed and the re-formation of andesite by 
 means of CaCl 2 (double decomposition) is impossible. 
 
 The conception of the aluminosilicates as complex acids thus agrees 
 excellently with experimental results. 
 
 VII 
 
 From the structural formulae already given it follows that two 
 kinds of isomerism 136 * are possible : 
 
 1. An isomerism resulting from a different, yet still symmetrical, 
 arrangement of the basal atoms, or " Basis-isomerism," and 
 
 2. An isomerism due to the ring radicles, or " Ring-isomerism." 
 A few examples will make this clearer : 
 
 From the compound 
 
 two isomers are possible : 
 
 I. Basis isomerism 
 
 / 
 
 K/Al/Si 
 V 
 
 From the compound 
 
 H 4 Na 6 (Si Al Si), 
 two basis-isomers are also possible : 
 
 Na Na Na H Na H 
 
 III III 
 
 H /\/\/\ . H Na /\/\/\ Na 
 
 H I|s^M H Na _|siJ ^N_ Na 
 
 Na Na Na H Na H 
 
 I. II. 
 
 * For Literature with reference to Isomerism in inorganic compounds see No. 136 
 in Bibliography. 
 
64 CONSEQUENCES OF THE H.P. THEORY 
 
 II. Ring isomerism 
 
 From compounds with an alumina-silica ratio of 1:2, two ring- 
 isomers are possible : 
 
 5i|Al[Al|Si| 
 /\/\/\/ 
 
 Al | Si I Si Al | 
 
 \/\/\A/ 
 
 I. II. 
 
 From the derivatives of this type, analogous ring-isomers produce 
 a secondary type : 
 
 | Si | Al| All Si I <"Af|Si Si|1fN 
 
 \/ \/ X \/\/ ' 
 
 I. II. 
 
 ,/\ 
 
 etc. 
 
 iv. 
 
 Crystallographic and chemical investigations have already indicated 
 the actual existence of isomeric aluminosilicates. Thus, potash felspar 
 
 \? 
 
 is already known in two forms, viz. as orthoclase (monoclinic) and 
 microcline (triclinic). 
 
 Soda felspar, / Si 
 
 K Al^Si 
 V \T 
 
 is also known to occur in the two forms of sodium orthoclase (mono- 
 clinic) and albite (triclinic). 
 
 The following results of work by Thugutt confirm the existence of 
 ring-isomers : In the previous Section it was shown that the con- 
 stitutional formula of the sodalites is based upon 
 
 {Na 12 (Si Al Al Si) } 2 m 2 n H. 
 
 Hence the existence of a second series of sodalites with the formula 
 {Na 12 (Al Si Si Al)} 2 m 2 nH, 
 
 is theoretically possible. As a matter of fact, Thugutt has discovered 
 two chlorosodalites with a different behaviour towards calcium 
 chloride, although the chemical composition of both is identical. 
 
 The artificially prepared hydrogen sodalite behaves towards 
 calcium chloride in a manner quite different from that of the natural 
 sodalites from Arendal, Ditro, Miask, and Turkestan. 
 
VARIOUS KINDS OF COMBINED WATER 
 
 65 
 
 The artificial variety, on treatment with calcium chloride solution, 
 yields a calcium chloride-sodalite according to the following equation : 
 
 3 (6 Na 2 6 A1 2 3 12 SiO 2 4 NaCl) + 22 CaCl 2 
 = 3 (6 CaO 6 A1 2 3 12 SiO 2 ) 4 CaCl 2 + 48 NaCl. 
 
 With natural sodalites, on the contrary, the equation is : 
 
 2 (6 Na.O 6 A1 2 3 12 Si0 2 4 NaCl) + 12 CaCl 2 
 = 2 (6 CaO 6 A1 2 3 12 Si0 2 ) + 32 NaCl. 
 
 It is, at present, impossible to say which formula belongs to either 
 of the two isomers. 
 
 ^ Further researches will show how far these prognoses of the theory 
 are confirmed in this respect by the facts. 
 
 VIII 
 
 Water may be present either as " water of crystallisation " or 
 " water of constitution, " the latter being acid- or base-water. The 
 " acid-water " may be of various kinds : part of the hydroxyl groups 
 may be united to the aluminium hexite or pentite, the remainder to the 
 silicon hexite or pentite. 
 
 This may be seen from the following formula, in which the different 
 kinds of water are indicated by , ft, y, and S, respectively : 
 
 
 
 
 (ft) 
 
 () 
 
 (0) 
 
 
 
 
 (OH) 2 
 
 OH 
 
 (OH) 
 
 i 
 
 
 
 
 
 
 II 
 
 1 
 
 
 
 
 
 
 (7) 
 
 HO 
 
 Ca\ 
 
 'V\/\/Ca- 
 
 OH 
 
 (r) 
 
 
 (ft) 
 
 HO/ 
 
 Si 
 
 Al 
 
 Si 
 
 \OH 
 
 (0) 
 
 
 
 (ft) 
 
 H0\ 
 
 
 \ . 
 
 
 /OH 
 
 (0) 
 
 
 (7) 
 
 HO 
 
 Ca/ 
 
 \/ 
 
 v 
 
 \/ 
 
 \Ca- 
 
 OH 
 
 (7) 
 
 (OH), 
 
 OH 
 
 (OH) 
 
 i 
 
 
 
 
 
 
 08) 
 
 w 
 
 (ft 
 
 
 
 
 6H 2 (5). 
 
 Since Damour first drew attention to the change in the behaviour 
 of the water in hydrous aluminosilicates or zeolites at higher tempera- 
 tures, this subject has been studied by various investigators (see p. 4, 
 last line) and particularly by Clarke. 
 
 Of the zeolites examined by Clarke 138 , those relevant to the present 
 purpose are laumontite, thomsonite, hydronephelite, heulandite, 
 epistilbite, stilbite, faujasite, scolecite, foresite, and natrolite. 
 
 The Structural Formulae of the above-mentioned Zeolites, based on 
 their behaviour at high temperatures (after Clarke) 
 
 I. Laumonite 
 
 Al 4 (Si0 4 ) 5 Si 3 8 Ca 2 H 8 4 H 2 = 4 H 2 2 CaO 2 A1 2 3 8 Si0 2 4 H 2 0. 
 
 II. Thomsonite 
 
 Al 4 (Si0 4 ) 6 Ca 3 (AlH 2 2 ) 2 H 4 3 H 2 
 
 = 4 H 2 O 3 CaO 3 A1 2 3 6 SiO, 3 H 2 0. 
 
66 CONSEQUENCES OF THE H.P. THEORY 
 
 These structural formulae were suggested by Clarke from a study of 
 the dehydration experiments of Damour, Hersch, and others, which 
 showed that -f- of the water must be regarded as " water of con- 
 stitution." 
 
 III. Hydronephelite 
 
 Al 3 (SiO 4 ) 3 -Na 2 H-3H 2 O 
 == \ (2 Na 2 H 2 3 A1 2 3 6 Si0 2 6 H 2 0). 
 
 IV. Heulandite 
 
 Al 4 (Si0 4 ) 3 (Si 3 O 8 ) 3 Ca 2 H 8 6 H 2 
 = 4 H 2 O 2 CaO 2 A1 2 3 12 Si0 2 6 H 2 0. 
 
 V. Epistilbite 
 
 Al 4 (Si0 4 ) 3 (Si 3 8 ) 3 Ca 2 H 8 6 H 2 O 
 = 4 H 2 2 CaO 2 A1 2 3 12 Si0 2 6 H 2 O. 
 
 Epistilbite is stated by Clarke to have the same composition as 
 heulandite, but the water in it appears to be more strongly bound. 
 
 VI. Stilbite 
 
 Of the same composition as epistilbite and heulandite ; behaves like 
 heulandite on fusion, but sometimes forms anorthite. 
 
 VII. Faujasite 
 
 Al 4 (Si0 4 ) 4 (Si 3 8 ) 2 Na 2 CaH 8 15 H 2 O 
 = 4 H 2 Na 2 CaO 2 A1 2 3 10 Si0 2 15 H 2 0. 
 
 VIII. Scolecite 
 
 Al 4 (Si0 4 ) 6 Ca 2 H 8 2 H 2 = 4 H 2 2 CaO 2 A1 2 3 6 Si0 2 2 H 2 0. 
 
 IX. Foresite 
 
 Al 4 (Si0 4 ) 6 CaH 8 H 2 = 4 H 2 CaO 2 A1 2 3 6 Si0 2 H 2 0. 
 
 X. Natrolite 
 
 Al 2 (Si0 4 ) 3 Na 2 H 4 = 2 H 2 Na 2 A1 2 3 3 Si0 2 . 
 
 The Structural Formulae of Laumontite, Thomsonite, etc., according to the 
 
 Hexite-Pentite Theory 
 
 The structural formulae suggested by Clarke, when rearranged in 
 accordance with the hexite-pentite theory, yield constitutional 
 formulae in which the results of Clarke's researches may also be seen, 
 as follows : 
 
 I. Laumontite 
 
 Clarke's formula multiplied by f gives : 
 
THE CONSTITUTION OF THE ZEOLITES 
 
 67 
 
 6 H 3 3 CaO 3 A1 2 3 12 Si0 2 6 H 2 O = H 12 Ca 3 (Si Al Si) 6 H 2 
 
 caOH ca caOH 
 
 .(H0) = 
 (HO) = 
 
 = (OH), 
 = (OH), 
 
 6H 2 O 
 
 ca = Ca 
 
 caOH ca caOH 
 II. Thomsonite 
 
 Clarke's formula multiplied by 2 gives : 
 
 8 H 2 6 CaO 6 A1 2 3 12 Si0 2 6 H 2 O = H 16 Ca 6 (S A i Al Al Si) 6 H,0 
 HOCa-OH OHCa-OH 
 
 ,(HO) = 
 
 .(H0) = 
 
 A 
 HO Ca-OH 
 
 =(OH) 2 
 
 Si I -6H 2 
 
 =(OH) 2 
 
 A 
 OH Ca-OH 
 
 III. Hydronephelite 
 Clarke's formula multiplied by 4 gives : 
 4 Na 2 2 H 2 6 A1 2 3 12 Si0 2 12 H 2 == H 4 Na 8 (ST Al Al Si) 12H 2 O 
 
 Na H H Na 
 
 I I I I 
 Na /\/\/\/\ Na 
 
 Na- 
 
 Si 
 
 Al 
 
 Al 
 
 Si 
 
 12H 2 
 
 I I I I 
 Na H H Na 
 
 Ring- and Base-isomers of this composition are clearly possible. 
 
 IV. Heulandite 
 Clarke's formula multiplied by f gives : 
 
 / /A 
 6 H 2 3 CaO - 3 A1 2 3 - 18 Si0 2 9 H 2 = H 12 Ca 3 l Al^-Si 1 9 H 2 O 
 
 ca (OH) 
 
 ca 
 
 (OH) 2 = 
 
 9H 2 O 
 
 ca 
 
 ca -- Ca 
 
68 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 V. Epistilbite 
 
 Epistilbite, according to Clarke, has the same composition as 
 heulandite, but the water is more strongly bound. 
 
 Possibly epistilbite has the following structural formula : 
 
 OH 
 
 Oca 
 
 HO Si 
 caO~\/ 
 
 Al 
 
 __/OH 
 I Oca 
 OH 
 
 9H 2 
 
 OH 
 
 Oca 
 
 ca = i Ca 
 
 as in this the water would be bound more strongly than in heulandite. 
 
 VI. Stilbite 
 Clarke's formula multiplied by f may be expressed thus : 
 
 / /Six 
 6 H 2 - 3 CaO 3 A1 2 3 18 Si0 2 9 H 2 = H 12 Ca 3 l Al~Si 1 9 H 8 0. 
 
 V X Si 
 
 Stilbite is either analogous to heulandite or epistilbite or it is 
 an isomeric product of heulandite with the following formula : 
 
 (OH) 2 ca 
 
 ca- 
 
 (OH) 
 
 Si 
 
 Al 
 
 \' 
 I 
 
 (OH),. 9 
 
 &/\ 
 
 ca = J Ca 
 
 (OH) 2 |JX 'ca 
 (OH) 2 ca 
 
 VII. Faujasite 
 
 Clarke's formula multiplied first by f and then by 2 gives : 
 (6 H 2 1.5 CaO 1.5 Na 2 3 A1 2 3 15 Si0 2 22.5 H 2 0) 2 
 
 - 2 45 H 2 
 
THE CONSTITUTION OF THE ZEOLITES 
 
 69 
 
 (OH), Oca 
 // ONa 
 
 (W 
 
 (OH). 
 
 y 
 
 ^. Oca 
 (OH), ONa 
 
 45H 2 O 
 
 VIII. Scolecite 
 Clarke's formula multiplied by 3 gives : 
 
 12 H 2 O 6 CaO 6 A1 2 3 18 Si0 2 6 H 2 
 = H 24 Ca 6 (Si Al Si Al Si) 6 H a O 
 
 OH 
 
 (OH), OH Ca OH OH (OH), 
 
 II I \/ I II 
 HO-Ca, A /\ /\ X\ /\ ,Ca-OH 
 
 HO i 
 
 ca = J Ca 
 
 Al | Si |~ H .6H 2 
 
 I X\ I 
 
 i, OH 
 
 (OH), OH Ca OH OH (OH), 
 OH 
 
 Scolecite is of special interest, inasmuch as it must contain all the 
 four different kinds of theoretically possible water. 
 
 IX. Foresite 
 If Clarke's formula is tripled it gives : 
 
 12 H 2 3 CaO 6 A1 2 8 18 Si0 2 - 3 H 2 
 
 = H 24 Ca 3 (S A i Al Si Al Si) 3 H 2 
 
 OH 
 
 Ca OH OHOHCa OH OH OH Ca OH 
 
 V I N/ J \/ 
 
 (OH), = 
 
 (OH), = 
 
 = (OH), 
 = (OH), 
 
 3H 2 
 
 (OH), OH (OH), OH (OH), 
 
70 CONSEQUENCES OF THE H.P. THEORY 
 
 Foresite contains all the four kinds of water theoretically 
 possible. 
 
 X. Natrolite 
 
 Clarke's formula, if multiplied by 6, leads to one which is impossible 
 according to the hexite-pentite theory, as compounds with an alumina- 
 silica ratio of 1 : 3 cannot have more than 12 R 2 O. This does not 
 necessarily prove an objection to the theory, as Clarke, in publishing 
 his formula for natrolite, definitely pointed out that the character of 
 the water in this compound is doubtful. 
 
 Further investigations will show that this compound only contains 
 6 molecules of " water of constitution." 
 
 The Hexite-Pentite Theory and other Zeolites 
 
 Part of the prognosis of the theory put forward by the authors of 
 this volume is completely confirmed by the facts ; it will, therefore, be 
 of special interest to enquire whether other investigations of zeolites 
 such as fractional determination of water will lead to the same 
 conclusions as to the existence of water in four different forms of 
 combination in such compounds as scolecite, foresite, etc. 
 
 A number of investigators, following the researches of Friedel, 
 E. Mallard and E. Rhine 733 , have concluded that the zeolites form a 
 remarkable class of substances which differ from the hydrates. The 
 work of A. Damours, who showed that water can be partially absorbed 
 by dehydrated zeolites re-combined, supports this conclusion. There 
 is a general impression that the loss of water from zeolites does 
 not follow the laws of Dalton and Proust, though this view is in direct 
 contradiction to the experiments of Clarke. This view has been 
 specially supported by J. M. van Bemmelen 717 , E. Doelter 783 , F. 
 Rinne 718 , and Sommerfeldt 719 , but A. Johnson 720 adopts the contrary 
 view and maintains that the evolution of water is not, in principle, 
 different from that of normal hydrates. 
 
 J. M. van Bemmelen regarded the combination of water in zeolites 
 as similar to that in silica jellies. Doelter regards it as " adsorbed." 
 E. Rinne has found, in the case of heulandite and desmine, that 
 definite changes in the water-content are accompanied by equally 
 definite changes in the optical character of these substances. According 
 to him, in heulandite and desmine an equilibrium is formed at all 
 temperatures and the loss of water is dependent on external circum- 
 stances such as atmospheric pressure and temperature. 
 
 The belief that loss of water by zeolites does not follow stoichio- 
 metrical laws is, without doubt, based on an error. Clarke, for 
 instance, has conclusively shown that, in the case of heulandite, the 
 loss of water is quite in accordance with these laws and that in the case 
 of desmine the same regularity is highly probable. The apparent 
 irregularities are due to the use of too small molecular weights for these 
 
THE CONSTITUTION OF THE ZEOLITES 71 
 
 compounds, whereby the regularity of the loss may be overlooked. 
 That this is the case with heulandite has already been shown. That it 
 applies equally to desmine is not difficult to prove, as follows : 
 Desmine has the general formula 
 
 CaO A1 2 3 Si0 2 5 H 2 0. 
 
 According to the H.P. theory, part of the water shown is " water 
 of constitution" and the remainder is "water of crystallisation" 
 (p. 65), the structural formula being : 
 
 6 H 2 6 CaO 6 A1 2 3 6 Si0 2 4 (6 H 2 0). 
 
 It is clear that a whole series of water-separation phases may 
 occur, such as : 
 
 1. Conversion of two hexites into pentites. 
 
 2. Conversion of the remaining hexite into pentite. 
 
 3. Separation of four pentites. 
 
 4. Separation of four hydroxyl groups. 
 
 There are at least ten phases of water-separation which lead to 
 forms differing from each other in crystallographic and optical charac- 
 ters. In short, the researches of Klnne, rightly considered, really agree 
 with the consequences of the H.P. theory. 
 
 The compounds 
 
 A. (CaO A1 2 3 Si0 2 5 H 2 0) 6 
 
 B. (CaO A1 2 3 Si0 2 - 4 H 2 0) 6 
 
 C. (CaO-Al 2 3 -Si0 2 -3H 2 0)e 
 
 D. (CaO A1 2 3 Si0 2 2 H.O), 
 
 E. (CaO A1 2 3 Si0 2 H 2 0) 
 
 F. (CaO-Al 2 3 -Si0 2 ) 6 
 
 are distinguished by their different optical and crystallographic 
 properties ; the compounds A, B, and C being monoclinic, D appears 
 to be rhombic, E still more clearly rhombic, and F (which has no water 
 of constitution) is amorphous. 
 
 Sommerfeldt considers that the zeolites, unlike the hydrates, lose 
 water continuously, and regards them as solid solutions. He has 
 applied the law of Ch. Henry and the second law of thermodynamics 
 to zeolites by integration, and the substitution of logarithms for 
 natural numbers in the formula : 
 
 (1) U = 
 
 RT'd(ln^) 
 
 C 
 
72 CONSEQUENCES OF THE H.P. THEORY 
 
 in which the concentration of the water in the solid and vaporous 
 form is represented by c' and c. He devised a second formula in which 
 at least two temperatures are known and are proportionate to the 
 maximal tensions of the water vapour and that of the water occluded 
 in unit volume of the substance, namely c' 2 : c 2 . The heat of combina- 
 tion may, in this way, be calculated. 
 From the formula thus obtained 
 
 (2) U= +4-584 log. (^!_jjt)-j!-T, Calories, 
 
 \ Cj_ C a 7 -L2 -LI 
 
 it is possible to ascertain whether the usual laws of thermodynamics 
 are applicable to zeolites. If, for instance, the vapour tension of the 
 occluded water c' and the heat of combination U in the formula (2) 
 are sufficient, the zeolites may be regarded as solid solutions. E. 
 Sommerfeldt has determined calorimetrically the evolution of heat, 7, 
 following the absorption of water by analcime, and obtained, as the 
 result of three tests, the values 1520, 1710, and 1635 Cals. for the heat 
 of combination of 1 molecule of water, i.e. an average of 1622 Cals. 
 From the percentage of water by weight which a sample of analcime 
 lost on being heated from 20 to TC., whereby it is in equilibrium 
 with the water vapour, the maximum temperature of which can be 
 ascertained from G. Friedel's researches, the heat of combination U 
 may be found to be approximately 8530 Cals. This disagreement 
 shows that the formula (2) cannot be applied to zeolites. Hence, 
 according to E. Sommerfeldt, zeolites cannot be solid solutions ; he 
 regards them as adsorption products. 
 
 This conclusion of Sommerfeldt's is only partially correct, as the 
 disagreement of the value found with that calculated merely shows that 
 the zeolites are not solid solutions. It does not show that the water is 
 adsorbed, i.e. combined in non-stoichiometric proportions. Indeed, 
 the authors of the present volume have previously shown that the 
 available experimental material only indicates that the zeolites do not 
 differ essentially from other hydrates. 
 
 The objection may be raised that the chief characteristic of zeolites 
 their ability to re-combine with water of crystallisation, as shown by 
 Damour, whereby they are distinguished from other compounds con- 
 taining water of crystallisation is inexplicable in terms of the H.P. 
 theory. This anomaly is, however, merely superficial. The power of 
 combining with water has been exhaustively shown, elsewhere, to be 
 due to : 
 
 1. The number of hydroxyl groups belonging to the water of 
 crystallisation, and 
 
 2. The nature of the base in compounds (salts). 
 
 The more hydroxyl groups a compound contains, the closer is its 
 relationship to ring- water. In saline compounds the combining power 
 of the ring-water is also dependent on the nature of the base. Some 
 complex acids have a close relationship to ring-water and therefore 
 
PROGNOSES 73 
 
 crystallise with a relatively large number of water-rings. The sodium 
 salts of these acids contain less water of crystallisation, the potassium 
 salts still less ; hence the water of crystallisation in the sodium com- 
 pounds is more strongly combined than in the analogous potassium 
 salts. It is, in fact, probable that the calcium group (O.Ca.OH) near 
 the OH-groups in zeolites causes the water-rings which have been 
 separated to re-combine. This property of re -combination so charac- 
 teristic of zeolites cannot properly be made a reason for separating 
 these compounds from others containing water of crystallisation, 
 and forming a separate class of compounds of a so-called " zeolitic 
 character." 
 
 IX 
 
 The hexite-pentite theory proposed by the authors enables prog- 
 noses of the chemical composition of the aluminosilicates to be made. 
 Two kinds of prognoses must be clearly distinguished : 
 
 1. Those founded on the proportion of base in the compound 
 (Base-prognoses) and 
 
 2. Those involving the presence of ring radicles (Ring-prognoses). 
 
 1. Base-prognoses 
 From a study of formulae of the type 
 
 Si Al Al Si = 6 A1 2 3 12 Si0 2 , 
 it is possible to predict that 
 
 1. Compounds having such a formula can at most contain 10R 2 0, 
 and that 
 
 2. From formulae of this type the composition of an enormous 
 variety of salts can be predicted, including normal, acid, basic or 
 mixed salts, some already known and others the existence of which has 
 yet to be proved. By replacing the hydroxyl groups by halogens a 
 further series of compounds is theoretically possible. 
 
 Thus, the existence of the following compounds of this type is 
 readily conceivable ; the same is true of other formulae : 
 
 ,__M a 
 
 I- ;; |Si|Al|Al|Si| ~ 2. |Si|Al|Al|Si 
 
 ~ \/\/ JNa ~\/\/\/\/ 
 
 Na Na Na Na K K 
 
 (Normal Salt) (Anhydric Salt) 
 
 Na H H Na Li H H Li 
 
 I I i I I I I I 
 
 4. ^|Si|Al|Al|SiC^ 2 2 
 Na H E[ lia Li Et i Li 
 
 (Acid Salt) (Acid Salt) 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 K 2 Na Na K 2 
 
 II I I II 
 
 rr- 
 
 5. *~|Si|Al|Al 
 H 2 = 
 
 :, Na Na K 2 
 
 (Normal Salt) 
 
 6. 
 
 Ca K K Ca 
 
 I I II 
 
 Li2== YV 
 
 Ca K K Ca 
 
 (Normal Salt) 
 
 7 - Si Al Al 
 
 M g=l A A 
 \/\/\/ 
 
 Mg 
 
 Na 2 H H Na 2 
 
 (Acid Salt) 
 
 Na Na Na Na 
 I I I I 
 
 =Mg o HO-Mg-f 
 
 'HO-Mg- 
 
 Si Al 
 
 Al 
 
 Si 
 
 v/ 
 
 Na Na Na 
 
 (Basic Salt) 
 
 , Mg-OH 
 ) Mg-OH 
 
 Na 
 
 9. 
 
 2 (HOMg) = 
 
 2 (HOMg) = 
 
 Na 2 H H Na 2 
 II I I II 
 /\/\/\/\ 
 
 Si I Al | Al I Si 
 \/\/\/\/ 
 Na 2 H: li Na 8 
 
 (Acid and Basic Salt) 
 
 = (MgOH) 2 
 = (MgOH) 2 
 
 Ba H H Ba 
 
 2 (HOMg 
 
 OMg) = / \/ \/ \/ \= 
 
 (Mg OMgOH) 2 
 
 2 (HOMg- 
 
 OMg) = xxx/x/x/ = 
 
 (Mg OMgOH) 2 
 
 
 II 1 1 II 
 Ca H H Ca 
 
 
 
 (Acid and Basic Salt) 
 
 
 
 (CaOH) 2 Na Na 
 II 1 1 
 
 (CaOH) 2 
 
 II 
 
 11. 
 
 2 (HO-Mg-0-Mg-0-Mg) = 
 2 (HO-Mg-0-Mg-0-Mg)= 
 
 (CaOH) 2 
 
 K 
 
 = (Mg-0-Mg.O-Mg-OH) 2 
 = (Mg-0-Mg-0-Mg.OH) 2 
 
 (CaOH) 2 
 
 2. Ring-prognoses 
 
 From each primary type of formula, a series of secondary com- 
 pounds may be devised. Thus, from the primary type : 
 
 Si Al Al Si 
 
PROGNOSES 75 
 
 the secondary (a) Si A! Al Si, and 
 
 (6) Si Al Al Si, may be produced ; 
 
 from the primary : Si Al Si Al Si 
 
 the secondary : (a) Si Al Si Al Si, 
 
 (6) Si Al Si Al Si, 
 
 (c) S A i Al Si Al Si, 
 
 (d) Si Al Si Al Si, 
 
 etc. 
 
 It has already been shown that a portion of the aluminium in 
 epidote is replaceable by Fe=. From the formula for tourmaline (see 
 Appendix) it may be concluded that part of the aluminium in 
 aluminosilicates is replaceable by boron. If it be admitted that the 
 aluminium in hexites and pentites may be replaced, in whole or in part, 
 by elements capable of forming sesquioxides and this view is highly 
 probable and is supported by many analyses the constitution of a 
 large number of compounds may be represented. 
 
 An interesting series of prognoses may be based on the properties of 
 the mineral " ardennite," 151 in which part of the aluminium is 
 replaced by vanadium. The composition of this mineral is shown by 
 the formula : 
 
 10 MnO V 2 5 5 A1 2 3 10 Si0 2 5 H 2 0, 
 
 which may be derived from : 
 
 Si R R Si 
 the structural formula being 
 
 : \ Si I Al I Al I Si ^= 5 H a O = 10 RO V 2 5 5 A1 2 3 10 Si0 2 -5 H 2 O. 
 
 \ A /< 
 
 The positions indicated by dots show the vanadium atoms in the 
 aluminium hexite. Vanadium hydrate is Vd Hi (OH) 5 , hence the 
 trivalency of the dotted positions. 
 
 It is highly probable that other " ardennites " will be found, in- 
 cluding the following : 
 
 1. =< Si| Al Al! Si >=-aq. = 12R 1 0-2V 1 0.-4Al I O i -10SiO i -aq. 
 
76 CONSEQUENCES OF THE H.P. THEORY 
 
 2. I Si I Al Al | Si |_ * aq. = 12 R 2 V 2 6 5 A1 2 8 12 Si0 2 aq. 
 
 ~ \/\ /\ /\/~ 
 
 II I I II 
 
 II III III II 
 = /\/'\/"\/\ = 
 
 3. Si Al |A1 | Si I = -aq. =14R 2 0-2 V 2 5 -4Al 2 3 -12Si0 2 -aq. 
 
 =\A./\./\x = 
 
 II III III II etc. 
 
 The replacement of the silicon by allied elements, such as titanium, 
 zirconium, tin, etc., is also possible, and a further large variety of 
 compounds becomes conceivable. For instance, in the formula 
 
 (a) Al Si Al, 
 the aluminium atoms may be replaced by those of boron to produce 
 
 (6) B - Si B. 
 
 If the silicon in (b) is replaced by Sn 
 
 B - Sn - B, 
 
 may be produced. In a similar manner, by replacing aluminium and 
 silicon in substances of other types, a large number of borosilicates, 
 aluminostannates and borostannates become theoretically possible. 
 
 Few such compounds are known actually to exist ; among others 
 is nordenskioldite 152 
 
 f 
 
 6 CaO 6 B 2 3 6 SnO a = Ca 6 (B Sn B). 
 
 Apart from those aluminosilicates whose constitution has already 
 been described under the term " a-complexes," there is a smaller 
 series the " /^-complexes " which must be represented somewhat 
 differently, though they are quite analogous to those previously 
 mentioned. These include sapphirin 153 
 
 5 MgO 2 Si0 2 6 A1 2 3 . 
 
 The constitution of this compound needs some explanation, as it 
 has already (p. 35) been suggested that a silicon hexite can, at most, 
 
 unite with three Al. Hence the formula : 
 
PROGNOSES 77 
 
 R 10 (A1 Si 2 Al) ; R 2 = Mg. 
 
 Sapphirin must, in fact, be regarded as a salt of an acid derived 
 from the hydrate : 
 
 Si S= (OH),, 
 
 >0 
 
 Si = (OH) 3 
 
 and from two hydro-aluminium-hexites by the removal of the elements 
 of water. 
 
 Theoretically, a sapphirin corresponding to 
 
 I _ I 
 Si : | Al y~ 
 
 Si : |~AT V 
 
 I ~l 
 
 R 8 (Al.Si 2 -Ai); R 2 = Mg, 
 
 is possible, and, as a matter of fact, an analysis by Damour 154 and 
 another by W. Schluttig 155 suggest a sapphirin corresponding to 
 
 4 MgO 2 SiO a 5 A1 2 3 . 
 If the aluminium in sapphirin is replaced by 
 
 Fe = , Cr = , Mn E= , B = , etc, 
 and the silicon by 
 
 Ti, Zr, Sn, etc., 
 
 a large number of new substances will be formed. 
 Howlite 156 : 
 
 Si : [B" V 
 
 I I 
 
 R 8 (B Si 2 B) aq. = 4 CaO 2 Si0 2 5 B 2 3 aq., 
 
 * In this structural formula, the oxygen atoms are omitted for the sake of greater 
 clearness. 
 
78 CONSEQUENCES OF THE H.P. THEORY 
 
 and Avasite 157 : 
 
 I __| 
 Si : | Fe )>- 
 
 Si: 
 
 I I 
 
 H 8 (Fe Si, Fe) 5 H 2 = 4 H 2 2 Si0 2 5 Fe 2 3 5 H 2 0, 
 
 are of this nature. 
 
 Theoretically, another class of ^-complexes is also possible, viz. 
 those producible from the hydrate 
 
 Al = (OH), 
 
 >O 
 
 Al = (OH), 
 
 and forming silicon hydrohexites and hydropentites in the manner 
 previously described. Compounds of the following types may thus be 
 obtained : 
 
 ii:ft" , nA 
 
 \ \/~~ Al:lJL/" 
 
 \ I \ - II 
 
 / /\ / " 
 
 Ai:|siL ^ : |_SL>= 
 
 o \/ II 
 
 The constitution of the silicates 
 
 2 CaO - KOH A1 2 3 12 Si0 2 (milarite) 15 ', 
 
 RO A1 2 3 - 10 Si0 2 - 5 H 2 (ptioHte) 159 , 
 
 RO A1 2 3 - 10 Si0 2 7 H 2 (mordennite) 160 , etc., 
 
 thus becomes clearer. 
 
 If the molybdenum and tungsten complexes are truly analogous to 
 the aluminosilicates, they must be constituted in an analogous manner. 
 Assuming that, on the one hand, molybdic and tungstic acids and, 
 on the other hand, vanadic, phosphoric, arsenic, and antimonic acids 
 form hexa- and penta-radicles (hexites, pentites, hydrohexites and 
 hydropentites) analogous to the acids of silicon and aluminium, 
 complexes of molybdenum and tungsten together with their compounds 
 must exist or be capable|of production, which may be termed a- and 
 
MOLYBDIC AND TUNGSTIC COMPLEXES 79 
 
 /5-complexes ; in other words it must be possible to conceive a large 
 number of molybdic and tungstic complexes whose constitution may be 
 ascertained from the hypothesis just mentioned. It is clear that the 
 chemical properties of the compounds should agree with the structural 
 formulae assigned to them. That they do so is shown below. 
 
 It is now necessary to consider what vanadium molybdates are 
 theoretically possible. 
 
 a-Vanadomolybdic anhydrides 
 
 Mo-V- 
 M5-V- 
 V Mo 
 
 Mo 
 
 V 
 
 
 
 = 3 
 = 3 
 
 = 6 
 
 V 2 6 - 
 V 2 5 - 
 V 2 5 - 
 
 12 
 
 10 
 
 G 
 
 MoO 3 , 
 Mo0 3 , 
 Mo0 3 , 
 
 V Mo 
 
 V 
 
 
 
 = 5 
 
 V 2 3 - 
 
 6 
 
 Mo0 3 , 
 
 Mo V 
 
 V- 
 
 Mo 
 
 
 = 6 
 
 V 2 5 - 
 
 12 
 
 Mo0 3 , 
 
 Mo- V- 
 
 V- 
 
 Mo 
 
 
 = 6 
 
 V 2 5 - 
 
 10MoO 3 , 
 
 Mo- V- 
 
 V- 
 
 Mo 
 
 
 = 5 
 
 V 2 5 - 
 
 12 
 
 MoO 3 , 
 
 Mo-V- 
 
 Mo 
 
 V 
 
 Mo 
 
 = 6 
 
 V 2 5 - 
 
 18 
 
 Mo0 3 , 
 
 Mo- V- 
 
 Mo 
 
 V 
 
 Mo 
 
 = 6 
 
 V 2 5 
 
 16 
 
 Mo0 3 , 
 
 Mo-V- 
 
 Mo 
 
 V 
 
 Mo 
 
 = 6 
 
 V 2 5 - 
 
 15 
 
 Mo0 3 , 
 
 Mo- V- 
 
 Mo 
 
 -V 
 
 M 
 
 = 5 
 
 V 2 5 - 
 
 18 
 
 Mo0 3 , 
 
 V-Mo- 
 
 V- 
 
 Mo 
 
 V 
 
 -9 
 
 V 2 5 
 
 12 
 
 Mo0 3 , 
 
 V-Mo- 
 
 V- 
 
 Mo 
 
 V 
 
 = 8 
 
 V 2 5 - 
 
 12 
 
 Mo0 3 , 
 
 V-Mo- 
 
 V- 
 
 Mo 
 
 V 
 
 = 8 
 
 V 2 5 
 
 10 
 
 Mo0 3 , 
 
 /Mo 
 
 
 
 
 
 
 
 
 V^-Mo 
 
 
 
 
 = 3 
 
 V 2 5 
 
 18 
 
 Mo0 33 
 
 X Mo 
 
 
 
 
 
 
 
 
 Mo^V 
 X V 
 
 
 
 
 = 9 
 
 V 2 5 - 
 
 6 
 
 Mo0 8 , etc. etc. 
 
 From the existence of /?-aluminosilicates it may be concluded that 
 the existence of analogous /2-vanadomolybdates is also theoretically 
 possible. These are formed (1) from the hydrate : 
 
 ViEE(OH) 4 
 
 >0 
 
 and molybdenum hydrohexites or hydropentites, and (2) from 
 
 Mo M (OH), 
 >0 
 
 Mo m (OH) 5 , 
 
80 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 and the corresponding ring-radicles of vanadic acid. In the first case 
 the following hydrates are produced : 
 
 I: 
 
 w; 
 
 A 
 
 Mo 
 
 V: Mo 
 
 H 12 (Mo V 2 Mb) 
 
 (b) 
 
 V : Mo >- 
 ____ s 
 
 H 10 (Mo V, Mo) 
 
 (c) 
 
 A 
 
 1 M^ 1 \7 
 
 /\= 
 
 iv/r/-\ 
 
 II II 
 
 Mo : V : 
 
 \y 
 
 Mo 
 \/ = 
 
 ' Mo : V : Mo 
 
 \ f 
 
 
 
 II \ 1! 
 / II 
 
 ' 
 
 }\= 
 
 =V : Mo 
 
 =V : 
 
 
 
 Mo 
 
 1 
 
 
 10 H 2 V,0 5 18 Mo0 8 10 H 2 V 2 5 15 MoO, 
 
 (e) 
 
 1 1 
 
 Mo : V : 
 
 Mo 
 
 Mo : V : MO 
 
 H 16 (Mo 2 >V 2 <Mo 2 ) 
 8 H 2 V 2 5 - 24 Mo0 3 
 
 (f) 
 
 i 
 
 Mo 
 
 : V : 
 
 Mo 
 
 H 12 (Mo 2 >V 2 <Mo 2 ) 
 6 H 2 V 2 5 20 MoO a 
 
MOLYBDIC AND TUNGSTIC COMPLEXES 81 
 
 When the hydrate OV 2 (OH) 8 , like the hydrohexites and hydro- 
 pentites, forms condensation products, acids of the following anhy- 
 drides : 
 
 6 V 2 5 16 Mo0 3 , 
 9 V 2 5 22 Mo0 3 , 
 are formed. 
 
 Similarly, a series of /2-vanadomolybdates may be formed from 
 OMo 2 (OH) 10 and vanadium hydrohexites or hydropentites. 
 
 If, in the a- and /2-vanadomolybdates mentioned, the vanadic acids 
 are represented by phosphoric, arsenious, arsenic, antimonious, 
 antimonic, and other acids, and the molybdic acids by tungstic acid, 
 the existence of vanado-, phospho-, arseno-, and other tungstates and 
 of phospho-, arseno-, and other molybdates becomes theoretically 
 possible. 
 
 Proofs of the Correctness of the above Formulae for the Representation of 
 the Chemical Structure of Molybdic and Tungstic Complexes 
 
 It has been repeatedly stated in the foregoing pages that the 
 changes which have been observed to occur in Nature in aluminosili- 
 cates make it highly probable that under suitable conditions they may 
 be converted into one another. This fact not only agrees with the 
 authors' hexite-pentite theory, but is a natural deduction from the 
 latter. In the case of the various molybdic and tungstic complexes, 
 also, there is the possibility that, with the same component acids, 
 they will be mutually convertible in the widest proportions, if their 
 constitution is analogous to that of the aluminosilicates. For instance, 
 the various vanadomolybdates are, without exception, converted 
 into each other under certain conditions : the vanadotungstates, 
 arsenomolybdates and arsenotungstates are distinguished by this 
 characteristic property. 
 
 The best experimental confirmation of the authors' views may be 
 found in the researches of Friedheim and his pupils, whose work is 
 characterised by the great exactitude and care with which it has been 
 carried out. 
 
 The above-mentioned property convertibility is shown in the 
 Tables on the following pages, in which a number of the results ob- 
 tained by Friedheim and his pupils have been summarised : 
 
 Table A. Action of a small quantity of Mo0 3 on normal vanadates. 
 
 Table B. Action of Mo0 3 on normal vanadates. 
 
 Table C Action of chlorides on NH 4 VO 3 +Mo0 3 . 
 
 Table D. Action of normal vanadates on paramolybdates. 
 
 Table E. Action of Mo0 3 on normal vanadates. 
 
 Table F. Action of Mo0 3 on phosphates. 
 
 Table G. Action of Mo0 3 on arsenates. 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 1 
 
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 change of the solution formed from 
 
 kH (-f 
 
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 (NH 4 )V0 3 + J Mol. MoO 3 with 
 
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MOLYBDIC AND TUNGSTIC COMPLEXES 
 
 83 
 
 
 
 
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CONSEQUENCES OF THE H.P. THEORY 
 
 ft 
 
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MOLYBDIC AND TUNGSTIC COMPLEXES 
 
 85 
 
 
 
 
 
 
 
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 CONSEQUENCES OF THE H.P. THEORY 
 
 
 
 
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MOLYBDIC AND TUNGSTIC COMPLEXES 
 
 87 
 
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88 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 It is not difficult to show that the vanadomolybdates given in the 
 Tables A, B, C, D, and E are genetically related to each other, as 
 would be expected from the theory. 
 
 There must, of necessity, be a relation between vanadomolybdates 
 in Tables A, B, and C, as these compounds are all obtained by the same 
 method from different proportions of normal vanadates and Mo0 3 . 
 The compounds shown in Table C must be related to those in A and 
 B, as they are nothing more than transformation products of the 
 latter. Hence the following genetic relationship between the vanado- 
 molybdates : 
 
 (a) 
 (b) 
 (c) 
 (d) 
 
 (e) 
 
 (/) 
 (9) 
 (h) 
 
 (i) 
 (k) 
 
 (D 
 
 2R 2 
 
 V 2 5 
 
 6 MoOa, 
 
 5R 2 O 
 
 2 V 2 5 
 
 12 Mo0 3 , 
 
 7R 2 O 
 
 3 V 2 5 
 
 18 Mo0 33 
 
 R 2 
 
 V 2 5 
 
 3Mo0 3 , 
 
 2R 2 
 
 V 2 5 
 
 3Mo0 3 
 
 3R 2 
 
 2 V 2 5 
 
 6Mo0 3 
 
 2R 2 
 
 2 V 2 5 
 
 5Mo0 3 
 
 3R 2 O 
 
 2V 2 5 
 
 4Mo0 3 
 
 4R 2 
 
 3 Vo0 5 
 
 5MoO 3 
 
 5R 2 
 
 4 V 2 5 
 
 6Mo0 3 
 
 R 2 
 
 V 2 5 
 
 Mo0 3 . 
 
 Those shown in Table D, viz. : 
 
 (a') 3 R 2 V 2 5 6 MoO 3 , 
 
 (b') 5 R 2 2 V 2 O 5 12 Mo0 3 , 
 
 (c') 2R 2 0- V 2 O 5 - 4Mo0 3 , 
 
 (d') 2R 2 0- V 2 5 - 3Mo0 3 , 
 
 must also be related, as they have been produced in an analogous 
 fashion from normal vanadates and paramolybdates. 
 
 On the other hand, the vanadomolybdates (b') and (d') have a 
 composition analogous to (b) and (e) in Tables A, B, and C, whereby 
 the relationship of the various molybdates in the first four Tables 
 enables them to form a definite class of compounds. 
 
 Table E includes the following : 
 
 (&") 
 
 (O 
 (d") 
 (O 
 
 2R 2 
 5R 2 
 7R 2 
 2R 2 
 3R 2 
 
 V 2 5 
 2V 2 5 
 3V 2 5 
 
 V 2 5 
 2V 2 5 
 
 6MoO 3 
 
 12 Mo0 3 
 
 18 Mo0 3 
 
 4 MoO, 
 
 4 MoO, 
 
 From this Table (E) a relationship is shown between 
 
 1. a", b", c" ; 
 
 2. a", d" and 
 
 3. V e", 
 
 so that a", b", c", d" > and e" must be analogously constituted. 
 
MOLYBDIC AND TUNGSTIC COMPLEXES 89 
 
 As these substances are also shown in the Summary of Tables A, 
 B, C, and D 
 
 a* = a, 
 
 b" = b 7 = b, 
 
 c 77 = c, 
 d 77 = c 7 , 
 
 e 77 = h, 
 
 there is a definite actual relationship between all the vanadomolyb- 
 dates mentioned in Tables A, B, C, D, and E. 
 
 It is obvious that there can only be one theory which explains all 
 these vanadomolybdates satisfactorily. The authors' hexite-pentite 
 theory does this, and, what is more, it enables the existence of this 
 relationship to be predicted. A study of the following structural 
 formulae of these vanadomolybdates leads to the surprising result that 
 a large number of the theoretically constructed compounds of this 
 group are actually in existence, and it is to be expected that the 
 remaining vanadomolybdates which are theoretically possible 
 will be discovered sooner or later. 
 
 The vanadomolybdates just mentioned clearly possess the following 
 structural formulae : 
 
 . /./*h 
 
 (2 R 2 - V 2 6 6 Mo0 3 ) 3 = R 12 V^-Mo (a, a 77 ), 
 
 7 R 2 3 V 2 6 18 Mo0 3 = R 14 (v^-Mo I (c, c"), 
 
 / /M A CK 
 
 (5 R 2 2 V 2 5 - 12 MoO.K.5 = B J V^-Mo 1 (b, b 7 , b 77 ), 
 
 V X l&/ 
 
 (3R 2 0-V 2 5 -6Mo0 3 ) 3 = R 18 (vr-Mo) (a 7 ), 
 
 V XT*/ 
 
 (R 2 V 2 O 5 3 Mo0 3 ) 6 = R 12 (Mo V Mo V Mo) (d), 
 
 (2 R 2 V 2 5 3 Mo0 3 ) 6 = R 24 (Mo V Mo V Mo) (d 7 , ej, 
 
 (3 R 2 2 V 2 5 6 Mo0 3 ) 3 = R 18 (Mo V Mo - V Mo) (f), 
 
 (2 R 2 2 V 2 5 5 Mo0 3 ) 3 = R 12 (Mb V Mo V So) (g), 
 
 (3 R 2 2 V 2 5 4 Mo0 3 ) 3 = ~R l6 (Mo V V Mo) (e 77 , h), 
 
 (4 R 2 3 V 2 5 5 Mo0 3 ) 2 = R 16 (Mo V V -Mo) (i), 
 
 (5 R 2 4 V 2 5 6 Mo0 3 ) 2 = R 20 (Y Mo V Mo -V) (k), 
 
 (R 2 V 2 5 Mo0 3 ) 6 = R 12 (V M A o V) (1), 
 
 (2 R 2 V 2 5 4 Mo0 3 ) 3 = R 12 (Mo V Mo) (c 7 , d 77 ). 
 
90 CONSEQUENCES OF THE H.P. THEORY 
 
 The objection may be raised to the conception of the a-vanadomo- 
 lybdates as salts of complex acids : viz. the ratio of the acid components 
 (V 2 5 : Mo0 3 ) must remain unchanged when the acids are treated 
 with salts such as NaCl, KC1, etc., and the only substitution which can 
 take place is by means of monovalent elements such as Na, K, etc. 
 With the vanadomolybdates, however, this is not always the case. 
 For instance, it may be seen from Table A, that the compound 
 
 (a') 5 (NH 4 ) 2 4 V 2 5 - 6 Mo0 3 14 H 2 0, 
 
 on treatment with KC1 is converted into 
 
 (&') 3 K 2 - 2 V 2 O 5 4 Mo0 3 7 H 2 0. 
 
 The acid anhydride ratio in (a') is 2 : 3 and in (&') it is 1 : 2. 
 From the same Table it follows that 
 
 (c') 3 K 2 (NH 4 ) 2 3 V 2 5 5 Mo0 3 9 H 2 0, 
 
 on treatment with KC1 is converted into 
 
 (d f ) 3 K 2 2 V 2 5 4 Mo0 3 7 aq. 
 
 In (c') the ratio of V 2 O 5 : Mo0 3 =3 : 5 and in (d') I : 2. 
 
 In this connection it should be borne in mind that notwith- 
 standing the undoubted existence of free complex acids of Mo and W, 
 such as the silicotungstate SiO 2 12 WO 3 , silicomolybdate Si0 2 
 12Mo0 3 , phosphomolybdate P 2 O 5 24MoO 3 , etc. Friedheim and 
 his associates endeavoured to regard molybdic and tungstic complexes 
 as salts of related acids ; they conceived the idea that they might be 
 double salts and had hopes that this would suffice to explain the 
 remarkable conversions they had observed. And yet these reactions 
 are by no means so puzzling as may, at first sight, appear. Only the 
 a-complexes of the aluminosilicates can be distinguished by a certain 
 durability, e.g. 
 
 5.5 R 2 6 A1 2 3 16 Si0 2 (p. 39), 
 
 in Lemberg's series. Whatever salts are allowed to act on the com- 
 pounds in this series the aluminasilica ratio remains constant. In the 
 a-components of the molybdic and tungstic complexes this is not always 
 the case ; they are, to some extent, unstable. The aluminosilicates 
 are not all of equal stability. Of all the numerous types previously 
 mentioned, 
 
 SVA1-A1-SX 
 
 the kaolin type, is the most stable. It is well known that the action of 
 various natural (geological) processes is to convert the various alumino- 
 silicates into compounds of the kaolin type. 
 
 The great stability of compounds of the kaolin type is also shown 
 by a series of fusion experiments by Doelter 168 , who found that 
 
MOLYBDIC AND TUNGSTIC COMPLEXES 91 
 
 1. Laumontite : 
 
 Ca 3 (Al Si Al) 12 H 2 0, 
 
 at a sufficiently high temperature, loses silica and water, forming 
 anorthite : 
 
 Ca 6 (S A i Al Al Si). 
 
 2. On fusion, natrolite : 
 
 Na 12 (Sl - Al - Si Al - Si) - 12 H 2 0, 
 produces 
 
 Na 12 (Si Al Al Si), 
 silica and water. 
 
 3. On fusion, scolecite : 
 
 H 24 Ca 6 (Si Al Si Al Si) 6 H 2 0, 
 yields 
 
 Ca,(Si Al Al Si), 
 silica and water. 
 
 If the vanadomolybdates and vanadotungstates are true analogues 
 of the aluminosilicates, the most stable of the a-compounds must be 
 
 Mo V V Mo, and 
 W-V-V-W. 
 This is actually the case, for Friedheim has shown that 
 
 (a) 6 Na 2 3 V 2 5 6 W0 8 , 
 on boiling with WO 3 , is converted into 
 
 () 6 Xa0 3 V 2 6 12 W0 8 , 
 and on fusing ft the a-compound 
 
 W V V W, 
 remains behind. 
 
 On studying the puzzling transformations of the vanadomolyb- 
 dates in the light of the hexite-pentite theory, it will be seen that the 
 less stable a-compounds are converted into the highly stable 
 
 Mo V V Mo. 
 
 The conversion of (a') into (&') and (c') into (V) may be represented 
 as follows : 
 
 V Mo tf - Mo - V -> Mo V - V Mo , 
 
 (') (&') 
 
 Mo V V Mo -- > Mo V V Mo . 
 
 (O (*') 
 
92 CONSTITUTION OF MOLYBD1C & TUNGSTIC COMPLEXES 
 
 No double decomposition can result from the action of KC1 on 
 (a') or (c'), because these substances are unstable in solution, as may 
 be found from their behaviour when attempts are made to crystallise 
 them from such solution. The ratio V 2 5 : Mo0 3 in compounds of the 
 
 type Mx> . V . V . Mo is not affected by reactions involving double 
 decomposition. 
 
 The most stable type of compound may be represented by 
 
 Mo 
 
 X Mo 
 
 deduced from the conversion of (a") and (&") into (c") (Table E). 
 
 No less interesting is Table F, all the compounds of which, with 
 the exception of 
 
 6 K 2 4 P 2 5 9 Mo0 3 4 H 2 0, 
 
 may be accurately represented by hexite-pentite formulae, thus : 
 (a) (2 R 2 P 2 O 5 4 Mo0 3 ) 3 = Ri 2 (Mo P Mo), 
 (6) 4 R 2 3 P 2 6 10 Mo0 3 = R 8 (Mo~ P Mo), 
 
 (c) 
 
 (R 2 0-P 2 5 -2Mo0 3 ) 6 
 
 = R 12 (Mo P P Mo), 
 
 (d) 
 
 (4R 2 O-3P 2 5 -9Mo0 3 ) 2 
 
 = R 16 (]\io P Mo P Mo), 
 
 (e) 
 
 7 R 2 5 P 2 5 16 Mo0 3 
 
 = R 14 (Mb P M A o P Mo), 
 
 (/) 
 
 (4R 2 0-3P 2 6 -4Mo0 3 ) 3 
 
 = R 24 (P Mo P Mo P), 
 
 (9) 
 
 (2R 2 0-P 2 5 -5Mo0 3 ) 3 
 
 (/MCA 
 P^-Mo 
 X Mo/ 
 
 (g f ) (5 R 2 2 P 2 5 10 MoO,) l . B = R 15 | P^-Mo | 
 
 ^Mo/ 
 
 (f) (3R 2 0-P 2 6 -5MoO 
 
 ) - R (V ; 
 
 3 ; 3 rv 18 i Jr\. 
 \ ^ : 
 
 (,ax 
 P 2 ^-M 
 X M A 
 
 () 2.5R 2 O-P 2 5 -24Mo0 3 = 
 
 (t") (3 R 2 - P 2 5 24 Mo0 3 ) = 
 
 Altogether this series affords one of the most interesting confirma- 
 tions of the hexite-pentite theory, and the advantages of grouping 
 together these substances on the basis of their analogous mode of 
 
GENETIC RELATIONSHIPS OF ARSENOMOLYBDATES 93 
 
 formation are readily understood. Friedheim, on the contrary, suggests 
 the following, particularly with regard to the compounds (c), (d), (e), 
 and (/) : 
 
 " Only compound (c) of the previously unknown substance the 
 simplest of all those which contain phosphoric and molybdic acids is 
 of a simple nature . . . the other substances are undoubtedly mix- 
 tures." 
 
 Friedheim regards the compounds (d), (e), and (/) as " mixtures " 
 simply because he could not otherwise explain their composition ! The 
 Table is, therefore, only of value in so far as it shows a relationship 
 between the a- and /3-phosphomolybdate complexes ! 
 
 Table G leads to the same conclusions as the others. The sub- 
 stances in it may clearly be expressed in the light of the hexite-pentite 
 theory as follows : 
 
 (a) (2 R 2 As 2 5 4 Mo0 3 ) 3 = Ri 2 (Mo As Mo), 
 (a') (3 R 2 As 2 5 4 Mo0 3 ) 3 = Ri 8 (Mo As - Mo), 
 
 (b) (R 2 O As 2 6 2 Mo0 3 ) = R 12 (M A Q As As Mo), 
 
 (c) (R 2 O As 2 6 6 Mo0 3 ) 8 = R 6 
 
 (3R 2 0- As 2 6 -6Mo0 3 ) 3 
 
 (d) (2R 2 0-As 2 5 -5Mo0 3 ) 3 = R 12 ( As^-Mo 
 
 |'Mo> 
 As^-Mo 
 
 / / 
 
 .5==Rl 5 |AsH 
 
 (e) 5 R 2 As 2 6 16 Mo0 3 
 
 (s\ 1V1U 
 As 2 ^-jMo 
 X /Mr. 
 
 Of further interest in connection with the hexite-pentite theory 
 are the series of salts 170 produced by the action of V 2 5 on potassium-, 
 sodium- and ammomum-paratungstates : 
 
 1. 2 R 2 V 2 6 4 W0 3 , 
 
 2. 4 R 2 O 3 V 2 5 12 W0 3 . 
 
 Of these, the first is immediately decomposed by acids even in the 
 cold with separation of almost the whole of the tungstic acid. On 
 evaporation with hydrochloric acid, the tungstic acid is precipitated 
 
94 CONSTITUTION OF SILICOTONGSTATES 
 
 quantitatively in as complete a manner as in ordinary tungstic salts, 
 though in this instance it is rendered impure by the co-precipitation of 
 vanadic acid. 
 
 Compounds of the second series are not affected by acids. 
 
 Friedheim has endeavoured to show that the action of acids on the 
 compounds in the first series brings about a separation of tungstic 
 acid because they have, as one of their constituents, a paratungstate 
 which behaves in the same manner. He therefore suggested the 
 following equation : 
 
 (2 R 2 O V 2 5 4 W0 3 ) 3 = 5 R 2 12 W0 3 + R 2 3 V 2 5 . 
 
 ( Paratungstate ) 
 
 The compounds of the second series he expressed as shown below, 
 because the meta-tungstic acids behave in an analogous manner : 
 
 4 R 2 3 V 2 5 12 W0 3 = 3 (R 2 4 W0 3 ) + & 2 3 V 2 5 . 
 
 ( Me t atungs tate ) 
 
 Friedheim himself raised the following objection to his own con- 
 ception of the molecular structure of the compounds of the first 
 series 171 : 
 
 "The aqueous solution of the compound 2 R 2 V 2 5 4 WO 3 
 yields no precipitate on the addition of barium chloride or silver 
 nitrate, but on evaporation with the first of these reagents the corre- 
 sponding barium salt is formed; with silver nitrate a red solution, 
 which changes after a time to a purple-reddish crystalline compound of 
 the corresponding silver salt, is produced, and, if the solution is con- 
 centrated, the salt crystallises out in red needles." 
 
 It is scarcely likely that the compounds 2 R 2 V 2 O 5 4 W0 3 
 contain the components shown by such a formula, as the latter does 
 not indicate a substance which will form easily soluble barium and 
 silver salts. In another research, Friedheim regards these compounds 
 atomically, though even then it is scarcely possible to see, from Fried- 
 heim's structural formula (p. 21), that the bonds between the vanadium 
 and the tungsten are different in the second group from what they are 
 in the first. Yet this difference is at once observable in the following 
 structural formulae based on the authors' hexite-pentite theory : 
 
 W 
 
 W 
 
 -\/y\/ 
 
 w 
 
 v 
 
 w 
 
 I II I I I 
 
 6 R 2 O - 3 V 2 6 12 W0 3 4 R 2 3 V 2 5 12 WO 3 . 
 
 Valuable confirmation of the authors' theory is also found in the 
 interesting researches by Marignac 172 on the silicotungstates. His 
 formula (Si0 2 12 WO 3 ) at once suggests hexite. 
 
 For the compound 
 
 4 H 2 Si0 2 12 WO,, 
 
DIMORPHISM OF POTASSIUM SILICOTUNGSTATE 95 
 
 the hexite-pentite theory shows three isomers to be possible, viz. : 
 
 1. 
 
 2. 
 
 /\ 
 
 w 
 
 /\= 
 
 W 
 
 w 
 \/ 
 
 W 
 
 \/ 
 
 3. 
 
 I I 
 
 ,/\ 
 W 
 
 Marignac prepared two isomeric acids and two isomeric series of 
 salts having the formula 4 R 2 Si0 2 12 WO 3 . 
 
 The " water of constitution " in the free acids and in some of the 
 salts may be demonstrated in a very accurate manner, as the acids 
 4 H 2 Si0 2 12 WO 3 29 H 2 O lose 25 mol. H 2 O at 100% another 
 6 mol. between 150 and 220, and are completely dehydrated at 350. 
 Hence, 8 mol. H 2 O may be regarded as the " water of constitution " 
 as shown in the structural formula : 
 
 W 
 
 / 
 
 W 
 
 \ 
 
 The calcium salt, 2 CaO 2 H 2 O Si0 2 12 W0 8 22 H 2 0, loses 16 
 mol. H 2 at 100, and it also contains 8 mol. H 2 as " water of con- 
 stitution." This may be expressed thus : 
 
 (OH), 
 KO-Ca A 
 
 HO 
 
 W 
 
 :Si 
 
 (OH) 2 
 
 /\_Ca-OH 
 W OH 
 
 (H0) 2 = x/ \/=(OH) 2 
 
 (OH) 2 (OH) 2 
 The potassium salt 
 
 2 K 2 O 2 H 2 Si0 2 12 WO S 7 H,0 
 
 occurs in thick prisms and pearly hexagonal plates. Its dimorphism 
 may be explained by the use of the following formula : 
 
 l. 
 
 TT 
 
 H 
 
 K .] 
 
 A / 
 
 w|:Si: V 
 \/ \ 
 i 1 
 
 L 
 
 \-H 
 V 
 /-H 
 
 H 
 
 I 
 
 2. 
 
 K 
 K 
 
 H 
 
 /\_i 
 
 W :Si 
 
 \/ 
 
 i 
 
 K 
 
 The silicotungstates may also be regarded as representing the 
 /3-complexes which, in molybdic and tungstic compounds, are so much 
 
96 ^-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 
 
 more stable than the a-complexes. The /3-complexes usually yield free 
 acids and the salts are not easily converted into compounds of other 
 series, but will crystallise from their aqueous solution without any 
 decomposition. The acid component ratio also remains unaffected by 
 reactions involving a double decomposition. 
 
 Theoretically, the following compounds may exist : 
 
 V 
 
 4 R 2 Si0 2 10 W0 3 , 
 
 and Marignac also prepared compounds of this series. 
 
 The following formulae for molybdic and tungstic /5-complexes are 
 derived from compounds mentioned in Dammer's " Handbook " : 
 
 /3-complexes 
 
 (a) R 2 (Mo A1 2 Mo), 
 
 (6) R 4 (W B 2 W), 
 
 (c) R 8 (Wj Si W), 
 
 (d) R 8 (Mo-Pt-Mo), 
 
 (e) R 8 (W Pt W). 
 
 (a) R 2 (Mo A1 2 Mo). 
 K 2 A1 2 3 10 Mo0 3 15 H 2 (Parmentier 173 ). 
 
 (b) R 4 (W-B 2 -W). 
 
 2 BaO B 2 3 10 W0 3 16 H 2 (Klein 174 ). 
 
 (c) R 8 (W-Si-W). 
 
 4 H 2 O Si0 2 10 W0 3 3 H 2 (Marignac 175 ), 
 
 3(NH 4 ) 2 -SiO 2 -10W0 3 - 9 H 2 
 
 4(NH 4 ) 2 O -Si0 2 -10W0 3 - 8H 2 O, 
 
 2 H 2 2 K 2 Si0 2 10 W0 3 8 H 2 O, 
 
 4 K 2 Si0 2 10 W0 3 17 H 2 0, 
 
 4Ag 2 -Si0 2 -10W0 3 - 3H 2 0, 
 
 4 BaO Si0 2 10 W0 3 22 H 2 0. 
 
 (d) R 8 (Mo-Pt-Mo). 
 4 Na 2 Pt0 2 10 Mo0 3 29 H 2 (Gibbs 176 ). 
 
 (e) R 8 (W-Pt-W). 
 
 4 (NH 4 ) 2 PtO 2 10 W0 3 12 H 2 O (Gibbs 177 ), 
 4 Na 2 O Pt0 2 10 W0 3 25 H 2 O, 
 4 K 2 Pt0 2 10 W0 3 12 H 2 0. 
 
/3-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 97 
 
 (a) R,(Mo A1 2 Mo), 
 
 (b) R e (Mo Cr 2 Mo), 
 
 (c) R 8 (W B 2 W), 
 
 (d) R m (Mo Si Mo), (m = 4.8) 
 
 (e) R 8 (W Si; W), 
 (/) R 2 (Mo Zr Mo), 
 (g) R 2 (Mo Ti Mo), 
 
 (h) R m (W-P 2 -W), (m = 2.4) 
 
 (t) Ri (Mo - 1 2 Mo). 
 
 (a) R 6 (Mo Ai 2 Mo). 
 
 3 (NH 4 ) 2 A1 2 3 12 Mo0 3 20 H 2 (Parmentier 178 ), 
 3 K 2 A1 2 3 12 MoO, 20 H 2 0, 
 3 Na 2 A1 2 3 12 Mo0 3 22 H 2 0. 
 
 (b) R 6 (Mo Cr 2 Mo). 
 
 3 (NH 4 ) 2 Cr 2 3 12 Mo0 3 20 H 2 O (Struve 179 , Parmentier 180 ), 
 3 K 2 Cr 2 3 12 Mo0 3 20 H 2 O (S.), 
 
 3 Na 2 Cr 2 3 12 Mo0 3 21 H 2 (S.). 
 
 (c) R 8 (W-B 2 -W). 
 
 2 K 2 2 H 2 B 2 3 12 W0 3 16 H 2 (Klein 181 ), 
 
 4 K 2 B 2 3 12 W0 3 21 H 2 0, 
 K 2 3 BaO B 2 O 3 12 W0 3 28 H 2 O. 
 
 (d) R m (Mo Si Mo) ; m = 4.8. 
 
 2 H 2 Si0 2 12 Mo0 3 24 H 2 (Parmentier 182 ), 
 
 2 H 2 Si0 2 12 Mo0 3 30 H 2 (Asch 183 ), 
 2(NH 4 ) 2 O Si0 2 12 MoO 3 8 H 2 (P.), 
 
 2 K 2 Si0 2 12 Mo0 3 14 H 2 O (P.), 
 
 2 K 2 Si0 2 12 Mo0 3 16 H 2 (P.), 
 
 1.5 K 2 0.5 H 2 O SiO 2 12 Mo0 3 1.35 H,O (A.), 
 
 2 Na 2 O Si0 2 12 Mo0 3 21 H 2 O 
 
 1.5 Na 2 0.5 H 2 Si0 2 12 Mo0 3 16.5 H 2 0, 
 
 2 Ag 2 O Si0 2 12 Mo0 3 12 H 2 O, 
 
 1.5 Ag 2 O 0.5 H 2 Si0 2 12 Mo0 3 10.5 H 2 O, 
 
 4 Ag 2 O Si0 2 12 Mo0 3 15 H 2 0, 
 
 2 MgO Si0 2 12 Mo0 3 30 H 2 0, 
 
 2 BaO Si0 2 12 Mo0 3 24 H 2 0, 
 
 2 CaO Si0 2 12 Mo0 3 24 H 2 0. 
 
 (e) R e (W Si W). 
 
 4 H 2 Si0 2 12 W0 3 22 and 29 H 2 (Marignac 184 ). 
 4 H 2 Si0 2 12 WO 3 20 H 2 0, 
 
 4 (NH 4 ) 2 Si0 2 12 W0 3 16 H 2 O, 
 2 (NH 4 ) 2 . 2 H 2 . Si0 2 . 12 W0 3 6 H 2 O, 
 
98 ^-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 
 
 
 4 
 
 K 2 0- 
 
 Si0 2 - 
 
 12 W0 3 
 
 20 
 
 H 2 0, 
 
 2K a O 
 
 2 
 
 H 2 0- 
 
 Si0 2 - 
 
 12W0 3 
 
 7 
 
 H 2 0, 
 
 2K 2 O 
 
 2 
 
 H 2 O- 
 
 Si0 2 - 
 
 12W0 3 
 
 16 
 
 H 2 0, 
 
 3K 2 O 
 
 5 
 
 H 2 O-2 
 
 (Si0 2 - 
 
 12W0 3 ) 
 
 25 
 
 H 2 0, 
 
 4Na 2 
 
 
 ' 
 
 SiO 2 - 
 
 12WO 3 
 
 7 
 
 H 2 0, 
 
 2Na 2 O 
 
 2 
 
 H 2 0- 
 
 Si0 2 - 
 
 12WO 3 
 
 10 
 
 H 2 0, 
 
 2Na 2 O 
 
 2 
 
 H 2 0- 
 
 Si0 2 - 
 
 12WO 3 
 
 11 
 
 H 2 0, 
 
 2Na 2 
 
 2 
 
 H 2 O- 
 
 SiO 2 - 
 
 12WO 3 
 
 18 
 
 H 2 0, 
 
 3 (2 Na 2 O 
 
 2 
 
 H 2 O- 
 
 Si0 2 - 
 
 12WO 3 
 
 13 
 
 H 2 0) 
 
 Na 2 O 
 
 3 
 
 H 2 O- 
 
 Si0 2 - 
 
 12 W0 3 
 
 14 
 
 H 2 0, 
 
 Na 2 
 
 3 
 
 BaO- 
 
 Si0 2 - 
 
 12WO 3 
 
 28 
 
 H 2 0, 
 
 2MgO 
 
 2 
 
 H 2 O- 
 
 Si0 2 - 
 
 12WO 3 
 
 16 
 
 H a O, 
 
 5CaO 
 
 3 
 
 H 2 O-2 
 
 (SiO 2 
 
 12 W0 3 ) 
 
 47 
 
 H 2 0, 
 
 2CaO 
 
 2 
 
 H 2 0- 
 
 Si0 2 - 
 
 12WO 3 
 
 20 
 
 H 2 0, 
 
 2CaO 
 
 2 
 
 H 2 O- 
 
 Si0 2 - 
 
 12WO 3 
 
 22 
 
 H 2 0, 
 
 4 BaO 
 
 
 
 
 Si0 2 - 
 
 12 WO 3 
 
 27 
 
 H 2 0, 
 
 2BaO 
 
 2 
 
 H 2 O- 
 
 SiO 2 - 
 
 12 W0 3 
 
 14 
 
 H 2 0, 
 
 4 Na 2 N0 3 , 
 
 2 BaO 2 H 2 Si0 2 12 W0 3 22 H 2 0. 
 
 (/) R 2 (Mo Zr Mo). 
 
 2 (NH 4 ) 2 O ZrO 2 12 Mo0 3 10 H 2 (Pechard 185 ), 
 2 K 2 Zr0 2 12 Mo0 3 18 H 2 0. 
 
 (g) K 2 (Mo Ti Mo). 
 
 2 K 2 Ti0 2 12 MoO 3 20 H 2 O (Pechard 186 ), 
 2(NH 4 ) 2 O-Ti0 2 -12M0 3 10 H 2 0, 
 2 K 2 Ti0 2 12 M0 3 16 H 2 0. 
 
 (h) R m (W-P 2 
 
 W); m 
 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 42 
 
 H 
 
 2 (Pechard 187 ), 
 
 2 (NH 4 ) 2 
 
 P 2 
 
 5 
 
 12 
 
 WO 3 - 
 
 5 
 
 H 
 
 .0, 
 
 K 2 O 
 
 P 2 O 
 
 5 
 
 12 
 
 W0 3 - 
 
 9 
 
 H 
 
 .0, 
 
 2 Na 2 O 
 
 P 2 
 
 5 
 
 12 
 
 WO 3 - 
 
 18 
 
 H 
 
 2 o, 
 
 Li 2 O 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 12 
 
 H 
 
 ,0, 
 
 T1 2 
 
 P 2 
 
 5 
 
 12 
 
 WO 3 - 
 
 4 
 
 H 
 
 ,0, 
 
 Ag 2 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 8 
 
 H 2 0, 
 
 2CuO 
 
 P 2 
 
 5 
 
 12 WO, 
 
 11 
 
 H 
 
 A 
 
 2ZnO 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 7 
 
 H 
 
 .0, 
 
 2PbO 
 
 P 2 5 
 
 12 
 
 W0 3 - 
 
 6 
 
 H 
 
 .0, 
 
 2MgO 
 
 P 2 
 
 5 
 
 12 
 
 WO 3 - 
 
 10 
 
 H 
 
 2 o, 
 
 2CaO 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 19 
 
 H 
 
 A 
 
 2SrO 
 
 P 2 5 
 
 12 
 
 W0 3 - 
 
 17 
 
 H 
 
 2 o, 
 
 2 BaO 
 
 P 2 
 
 5 
 
 12 
 
 W0 3 - 
 
 15 
 
 H 
 
 2 0. 
 
 2.4. 
 
 (t) R 10 (Mo I 2 Mo). 
 
 5 (NH 4 ) 2 I 2 O 7 12 Mo0 3 12 H 2 O (Blomstrand 188 ), 
 9 K 2 H 2 O 2 (1,07 12 MoO 3 ) 24 H 2 0, 
 5 NaoO I 2 7 12 Mo0 3 26 HoO, 
 5 Na 2 I 2 7 12 Mo0 3 34 H 2 0, 
 
^-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 99 
 
 5 Li 2 
 5 Li 2 
 
 5 CaO 
 4 CaO 
 4 SrO Na 2 O 
 
 I 2 7 
 I 2 O 7 
 I 2 7 
 I 2 7 
 I 2 O 7 
 
 9 BaO Na0 2 (I 2 7 
 2 MnO 3 Na 2 I 2 7 
 
 R 2 
 
 12 Mo0 3 
 12 Mo0 3 
 12 Mo0 3 
 12 Mo0 3 
 12 MoO 3 
 12 MoO 3 ) 
 
 15 H 2 0, 
 18 H 2 O, 
 26 H 2 0, 
 21 H 2 0, 
 
 20 H 2 0, 
 
 28 H 2 0, 
 
 12 Mo0 3 32 H 2 0. 
 
 (/Mo 
 P/M-o 
 ^Mo 
 
 K 2 P 2 5 15 Mo0 3 (Rammelsberg 189 ). 
 
 (a) R 3 
 
 (&) 
 
 (c) R, 
 
 ( / M \ 
 \^$} 
 
 *'K| 
 
 B.f (/*); 
 V \w/ 
 
 m = 1.2. 
 
 V ^MW 
 
 (a) 
 
 5 (NH 4 ) 2 O Mn 2 3 16 Mo0 3 12 H 2 (Struve 190 ), 
 5 K 2 Mn 2 3 16 MoO 3 12 H 2 0. 
 
 3(NH 4 ) 2 
 
 Mo 
 
 3 (NH 4 ) 2 
 
 2 BaO (NH 4 ),0 
 
 6 (NH 4 ) 2 
 
 3K 2 
 
 2 H 2 4 K 2 O 
 
 5 H 2 CaO 
 
 3 BaO 
 
 (a) R 6 
 
 P 2 6 16 MoO 3 14 H 2 (Kehrmann 191 
 
 (c) R n /P 2 ^w]; m = 6.i: 
 
 P 2 O 5 16 W0 3 
 
 69 H 2 (Kehrmann 192 ), 
 
 P 2 5 16 W0 3 
 
 16'H,0 
 
 P 2 5 16 W0 3 
 
 xH 2 0, 
 
 P 2 3 16 W0 3 
 
 2H 2 0, 
 
 P 2 5 16 W0 3 
 
 16 H 2 O, 
 
 P 2 5 16 WO, 
 
 19 H 2 0, 
 
 P 2 5 16 WO 3 
 
 3H 2 0, 
 
 P 2 5 16 WO, 
 
 xH 2 0. 
 
 / ^\ 
 
 
 *<i 
 
 
100 ^-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 
 
 / W^ 
 
 / - > 
 
 (b) 
 (c) 
 
 (J.TJAJ> 
 P 2 /Mo 
 
 (3 x) Na,0 P 2 5 18 Mo0 3 (25 + x) H 2 (Finkener 193 ). 
 
 *(*<!) 
 
 6 K 2 P 2 5 18 WO 3 23 H 2 (Gibbs 194 ), 
 
 6 K 2 P.,0 5 18 W0 3 30 H 2 0, 
 K 2 5 H 2 P 2 5 18 W0 3 14 H 2 0. 
 
 MCK 
 
 , 
 
 (c) R 12 lAs/MoJ 
 
 As 2 5 18 Mo0 3 30 and 28 H 2 (Pufahl 196 ), 
 2 (NH 4 ) 2 4 H 2 As 2 5 18 MoO 3 13 H 2 (Mach 196 ), 
 3K 2 O-3H 2 - As 2 5 -18Mo0 3 -25H 2 O, 
 K 2 5 H 2 O As 2 5 18 Mo0 3 21 H 2 O, 
 3K 2 O-3H 2 O - As 2 5 18 MoO 3 - 21 H 2 O, 
 3 Li 2 3 H 2 O As 2 O 5 18 Mo0 3 31 H 2 O, 
 6T1 2 O As 2 5 -18Mo0 3 - x H 2 0, 
 
 3T1 2 O-3H 2 As 2 5 18 MoO 3 3 H 2 0, 
 6Ag 2 O As 2 O 5 18 Mo0 3 22 H 2 0, 
 
 7 Ag 2 - 5 H 2 O 2 (As 2 5 18 MoO 3 ) 22 H 2 0, 
 3CaO-3H 2 - As,O. 18Mo0 3 29 H 2 0, 
 3SrO-3H 2 O . As 2 O 5 18 MoO, 29 H 2 0, 
 
 3 MO 3 H 2 As 2 O 5 18 MoO, 33 H 2 O (M = Mg, Cd, Mn, Co), 
 3 MO 3 H 2 - As 2 5 18 MoO. 34 H 2 (M = Zn, Cu, Ni), 
 
 
 I .Vo. 
 
 t r 
 
^-COMPLEXES OF MOLYBDENUM AND TUNGSTEN 101 
 
 3 H 2 O P 2 5 20 Mo0 3 -21, 38 & 48 H 2 (Debray 197 ), 
 
 2 Ag 2 O P 2 O 5 20 Mo0 3 7 H 2 0, 
 
 3 K 2 O P 2 O 5 20 MoO 3 3 H 2 0, 
 7 Ag 2 P 8 O 5 20 Mo0 3 24 H 2 0. 
 
 W\. /W 
 
 P 2 5 20 WO 3 62 H 2 (Pechard 198 ), 
 P 2 5 20 W0 3 50 H 2 O (P.), 
 6 BaO P 2 5 20 W0 3 48 H 2 O (Gibbs 199 ). 
 
 o /Mo\ o /Mo 
 
 As 2 5 20 Mo0 3 27 H 2 (Debray 200 ), 
 3 K 2 As 2 5 20 Mo0 3 
 
 /Mo\o /Mcr 
 
 o /oo o\ 
 
 MMO>>\MO) 
 
 Mo\ /Mb-, 
 
 m = 6, 14. 
 
 3(NH 4 ) 2 O P 2 5 -22Mo0 3 9 H 2 O (Gibbs 201 ), 
 
 3 (NH 4 ) 2 O P 2 5 22 Mo0 3 12 H 2 (Rammelsberg 202 ), 
 
 3K 2 O P 2 5 -22Mo0 3 (R.), 
 
 5 K 2 O H 2 2 (P 2 O 5 22 MoO 3 ) 21 H 2 (R.), 
 
 7 Ag 2 P 2 5 22 Mo0 3 14 H 2 (G.). 
 
 ^, 6,8,14. 
 
 P 2 5 22 WO 3 7 H 2 (Kehrmann 203 ) and 
 2 K 2 P 2 O 5 22 W0 3 6 H 2 O (Gibbs 204 ), (Freinkel), 
 
 3 (NH 4 ) 2 O P 2 O 5 22 W0 3 - 21 H 2 O (G.), 
 
 4 BaO P 2 5 22 W0 3 41 H 2 (G.), 
 
 7 K 2 P 2 5 22 WO 3 x H 2 (K. and Fr.), 
 
 7 BaO P 2 5 22 W0 3 59.5 H 2 O (Sprenger, K. and Fr.), 
 3 BaO 4 Ag 2 P 2 5 22 W0 3 x H 2 (K. 205 ). 
 
 *"(!><!) 
 
102 
 
 THE CONSTITUTION OF CLAYS 
 
 3 (NH 4 ) 2 
 
 (9-x)(NH 4 ) 2 
 
 5 (NH 4 ) 2 
 
 2K 2 
 
 (3 x)Na 2 
 
 3 H 2 P 2 5 24 Mo0 3 27, 46 & 59 H 2 
 
 (Gibbs 206 ), Finkener 207 ), Kehrmann 203 ), 
 P 2 5 -24Mo0 3 (Hundeshagen 209 ), 
 
 (P 2 O 5 24 Mo0 3 ) (Gibbs), 
 
 P 2 5 -24Mo0 3 -16H 2 0, 
 P 2 5 -24Mo0 3 - 3H 2 0, 
 P 2 5 24 Mo0 3 - (58 + x) H 2 0. 
 
 m = 2, 4, 6. 
 
 xH 2 
 H 2 
 H0 
 
 P 2 6 24 WO 
 
 3 (NH 4 ) 2 
 
 3K 2 
 
 3Na 2 O 
 
 PA 
 PA 
 PA 
 
 40, 59 and 60 H 2 O 
 
 (Pechard 210 ), (Gibbs 211 ), (Sprenger 212 ), 
 24 W0 3 20 H 2 O (Gibbs), 
 24W0 3 - 11 or 17H 2 (Gibbs), 
 24 W0 3 22 H 2 O 
 
 (Brandhorst and Kraut 213 ), (Kehrmann 214 ), 
 
 2BaO 
 
 PA 
 
 24 
 
 W0 3 - 
 
 46 H 2 0, 
 
 2Na 2 
 
 PA 
 
 24 
 
 W0 3 - 
 
 27 H 2 0, 
 
 3Ag 2 
 
 P 2 5 
 
 24 
 
 WO 3 - 
 
 58 H 2 0, 
 
 Ag 2 
 
 P 2 5 
 
 24 
 
 W0 3 - 
 
 60 H 2 O, 
 
 3CaO 
 
 PA 
 
 24 
 
 WO 3 - 
 
 58 H 2 0, 
 
 3BaO 
 
 P 2 5 
 
 24 
 
 W0 3 - 
 
 58,46 H 2 0, 
 
 2BaO 
 
 PA 
 
 24 
 
 WO 3 - 
 
 59 H 2 0, 
 
 BaO 
 
 PA 
 
 24 
 
 W0 3 - 
 
 60 H 2 0, 
 
 etc. etc. 
 
 XI 
 
 The Constitution of Clays 
 
 The hexite-pentite theory shows the possible existence of a large 
 number of aluminosilicic acids in the form of hydrates and anhydrides. 
 Thus, if 
 
 Si Al Al Si, 
 is taken as the type, the following hydrates are possible : 
 
 , ' Y Y Y 
 
 H; 2 (Si Al Al S A i) 
 
 4. 
 
 _x\/\ 
 
 Si 
 
 \/ 
 
 Al 
 
 HJ 2 (Si Al 
 
 
 /\= 
 
 Si 
 \X = 
 
 Al S A i) 
 
 A 
 
 I II 
 \/\ 
 
 Si 
 
 Al-Si) 
 
 Si A1|A1 
 
 'Y 
 
 HJ 2 (Si Al Al 
 
 6. 
 
THE CONSTITUTION OF CLAYS 
 
 103 
 
 1 1 
 
 AA/s/V- 
 
 /\/\/\/\ 
 
 Si 
 
 AlJAljSi 
 
 Si Al Al Si 
 
 \/ 
 
 (Si 
 
 YY x/ ~ 
 
 Al - Al S'i) 
 7. 
 
 1 1 1 1 
 H(Si Al Al 
 8. 
 
 A. 
 
 Si Al Aljsi 
 \/\/\/\/ 
 
 H(Si Al - Al S A i) 
 9 
 
 X\/\X\/\ 
 
 Si Al Al Si 
 
 HJ (S A i Al Al S A i) H(Si - Al Al Si) 
 
 10. 11. 
 
 Of the above hydrates or aluminosilicic acids, Nos. 3, 4, and 6, 
 also 2 and 5, also 9, 10, and 11 are isomeric. If all the contained water 
 is completely separated, the anhydride 
 
 Si Al Al S A i 
 is formed. 
 
 The above hydro-alumino-silicates may also contain a variable 
 proportion of " water of crystallisation," the number of hydrates being 
 thereby increased. 
 
 Analogous hydrates with or without water of crystallisation 
 may, naturally, be regarded as of other types ; by the complete loss of 
 their contained water, these hydrates may form a corresponding series 
 of anhydrides. The following hydrates and the corresponding anhy- 
 drides thus become theoretically possible : 
 
 Si Al Si aq. 
 
 rr 
 
 i. 
 
 2. 
 
 / 
 
 I X 
 
 
 ! /\ I 
 
 Si [Al Si V- 
 
 r~\/ 
 
 y i 
 
 -<u 
 
 <$ 
 
 Al 
 
 <$ 
 
 5. 
 
 6. 
 
 7. 
 
104 THE CONSTITUTION OF CLAYS 
 
 _ 
 
 <(Si Al Si > etc. etc. 
 
 These substances have seldom, if ever, been prepared synthetically, 
 though their occurrence in Nature is well known under such widely 
 different names as " Minerals of the Allophane Group," " Clays," and 
 " Kaolins." They have been formed out of the most diverse materials, 
 such as micas, felspars, chlorites, etc., by removal of the base, hydra- 
 tion and subsequent removal of the water under definite conditions.* 
 These acids are seldom found in a chemically pure state, but usually 
 contain small proportions of the original base. Hence some of them 
 may, rightly, be termed strongly acid salts. 
 
 Their formulae have seldom been calculated from analyses, as these 
 materials have usually been regarded as 4 ' mixtures . ' ' The formulae cal- 
 culations of some minerals of the allophane group 215 (see Appendix) 
 showed that these substances are hydro-aluminosilicates (with a small 
 lime content) of the type 
 
 Al Si Al and Al Si Al. 
 From the analyses, the following formulae were calculated : 
 
 1. 0.5 CaO 6 A1 2 3 6 Si0 2 32 H 2 0, 
 
 2 0.5 CaO 6 A1 2 3 6 Si0 2 38 H 2 0, 
 
 3. 0.75 CaO 6 A1 2 3 6 Si0 2 32 H 2 0, 
 
 4. 0.25 CaO 6 A1 2 3 5 Si0 2 32 H 2 0, 
 
 5. 0.75 CaO 6 A1 2 3 6 SiO 2 42 H 2 0. 
 
 Part of the water present is in the form of " water of crystallisa- 
 tion " and part as " water of constitution." It is not possible to state 
 a priori how much water exists in either or both these forms, but the 
 maximum proportion of " water of constitution " which is possible 
 may be predicted on theoretical grounds, as in the two following 
 structural formulae : 
 
 I ii I 
 _/\/\/\_ 
 
 Al I Si Al I I Al I Si 
 
 I ii I 
 
 Maximum of H 2 O-Mols. Maximum of H 2 O-Mols. 
 
 (6) (5) 
 
 * The various theories as to the origins of clays are described in the translator's 
 "British Clays" 70<J and "Natural History of Clay " 732 . A. B. S. 
 
THE CONSTITUTION OF CLAYS 105 
 
 The determination of water present after heating these substances 
 to a high temperature should, therefore, be of value. 
 
 Equally interesting is the calculation of the formulae of a number 
 of washed clays from the analyses published in C. Bischof's " Collected 
 Analyses of Materials used in Clay working," published in 1901 (see 
 Appendix 'Clays/ Section B). 
 
 These analyses agree with the theory that a number of hydro- 
 aluminosilicates may exist in which the alumina-silica ratio varies 
 within extremely wide limits, so that the hydro-aluminosilicates 
 themselves may be of the most widely varying nature. The analyses 
 indicate the following substances : 
 
 (a) Si R Si, 
 (6) Si R Si, 
 
 (c) 
 
 A/ Si 
 
 Si 
 
 (e) Si R R Si, 
 (/) Si R R Si, 
 (g) Si R S'i R Si, 
 (h) Si R Si R Sf, 
 () S'i-R-Si- R -Si. 
 
 More accurate calculations of the formulae from analyses by the 
 same investigator (see Appendix ' Clays/ Section C) gave the follow- 
 ing : 
 
 I. 0.5 CaO 5.5 H 2 O 3 R 2 3 15 Si0 2 = H^Ca^ 
 
 II. 0.25 K 2 O 19.75 H 2 (5 R 2 O 3 12 Si0 2 ) 2 = [H$ (Si R R Si)] 2 
 
 (-(-some K.), 
 
 III. 0.5 R 2 O 15.5 H 2 O 6 R 2 O 3 16 Si0 2 = H 21 Rg. 5 (Si R Si R Si) 
 
 5 H 2 0, 
 
 IV. 0.5 CaO 15.5 H 2 6 R 2 3 16 SiO 2 = H 2l Ca. 5 (Si R Si R Si) 
 
 5 H 2 0, 
 
 VIII. 0.5 K 2 8.5 H 2 5 A1 2 3 16 Si0 2 = H; 7 K(Si Al -Si Al_-_Si), 
 IX. 0.5 K 2 O 9.5 H 2 O 6 R 2 3 15 Si0 2 = H? 9 K(Si R Si R Si),_ 
 
 XII. 0.25 K 2 9.75 H 2 6 R 2 3 16 Si0 2 = H 20 (Si R Si R Si) 
 
 (-f- some K.), 
 
 XIII. 12 H 2 6 R 2 3 18 Si0 2 = H 4 (Si R -Si R Si), 
 XV. 10 H 2 5 R 2 3 12 Si0 2 = H$ 8 (Si- R R Si) H 2 O. 
 
106 THE CONSTITUTION OF CLAYS 
 
 These compounds contain only very small proportions of base and 
 may, therefore, be regarded as hydro-aluminosilicates. The constitu- 
 tional formulae * suggested are only tentative so far as their " water 
 of constitution " is concerned ; it is not impossible that in some of 
 them a part of what is, above, included under the term " water of 
 constitution " may, in reality, be in the form of " water of crystallisa- 
 tion." The only means of ascertaining this is to make determinations 
 of the water left after heating the substances to various high tempera- 
 tures. 
 
 Further formulae calculated from the analyses of the foregoing and 
 other clays will show whether the other theoretically possible hydro- 
 aluminosilicates are known to occur in Nature or to have been prepared 
 artificially. 
 
 According to the authors' hexite-pentite theory, clays must have 
 the properties of acids. The following equation represents the action 
 of sodium carbonate : 
 
 Si Al Al Si -f 6Na 2 C0 3 = Na 12 (Si Al Al Si) + 6C0 2 . 
 
 According to Vernadsky 216 haloid salts (KI, KBr, etc.) decompose 
 clays at moderate and high temperatures, with separation of haloid 
 salts. 
 
 The acidity of clays is also shown by their mode of formation in 
 Nature. They are formed by the decomposition of aluminosilicates 
 under the same conditions as hydrates and anhydrides are formed by 
 the decomposition of their salts. Thus, in Nature, the decomposition 
 of simple silicates by the action of water and carbonic acid produces 
 opals, and a similar decomposition of aluminosilicates produces 
 clays. 
 
 The necessary consequence of the hexite-pentite theory that clays 
 are single chemical compounds and not mixtures is by no means new. 
 So far as certain Alsatian fireclays are concerned, this conclusion 
 was reached by C. Mene in a prize essay published in 1863, in which he 
 made the following noteworthy statement : 
 
 " The clays used for the manufacture of firebricks are compounds 
 of definite chemical composition and are decomposition products of 
 rocks of equally definite chemical composition." 
 
 This work of Mene's appears to have been overlooked, and many 
 modern scientists generally though erroneously regard clays as 
 mixtures of quartz, felspar and the so-called " clay substance." This 
 highly mistaken view of the chemical nature of clays is due to a 
 peculiarity possessed by them, easily explicable in the light of the 
 hexite-pentite theory, but otherwise only by assuming the existence of 
 a definite " clay substance." This peculiarity consists in the fact 
 that, like all other aluminosilicates, clays are decomposed at high 
 
 * The distribution of the OH-groups in these formulae is described at greater length 
 in the later sections on Ultramarine, Portland Cements, and Porcelain Cements. 
 
ACTION OF SULPHURIC ACID ON CLAYS 107 
 
 temperatures and by some concentrated acids, forming compounds of the 
 most stable type possible, such as the following : 
 
 1. Si Al Al Si, 
 
 2. Si Al Al Si, and 
 
 3. S*i Al Al Si. 
 
 If, for instance, a clay of the type 
 
 Si Al S A i - Al Si = 6 A1 2 3 18 Si0 2 
 
 is treated with concentrated sulphuric acid, it loses silica or silica 
 and alumina, according to the temperature and duration of treatment, 
 forming a compound of one of the three types just mentioned. 
 
 This is also shown by the researches of C. Bischof 218 (see Appendix, 
 ' Clays ' D), who was one of the first to study the action of sulphuric 
 acid on the following clays : 
 
 1. m RO 5 R 2 3 17 Si0 2 aq. 
 
 2. m RO 5 R 2 O 3 16 SiO 2 aq. 
 
 3. m RO 3 R 2 3 12 SiO 2 aq. 
 
 4. m RO 5 R 2 3 17 Si0 2 aq. 
 
 5. m RO 3 R 2 O 3 15 SiO 2 aq. 
 
 6. m RO 5 R 2 3 18 Si0 2 aq. 
 
 7. m RO 6 R 2 3 12 Si0 2 aq. 
 
 The action of sulphuric acid may be represented as follows : 
 
 1 . S'i R Si R Si > Si R R Si", 
 
 2. Si R Si R Si > Si R R Si, 
 
 3. Si-R-Si ->Si-R-R-^, 
 
 4. Si R M R S'i > Si R R Si, 
 
 /Si 
 
 5. R-Si ->Si-R-R-Si, 
 
 
 
 6. Si R Si R Si > Si R R Si, 
 
 7. Si R R Si > Si R R Si. 
 
 The above examples which may be increased indefinitely show 
 conclusively that clays are really converted into the highly stable 
 compounds stated. The alumina-silica ratio is approximately 1 : 2 
 which cannot be a mere coincidence and the supposition that clays 
 contain a " clay substance " separable by acids though erroneous is 
 a very natural one. 
 
 Mellor and Holdcroft 708 consider that clays are decomposed by 
 sulphuric acid in another manner, viz. with separation of silica and 
 the formation of aluminium sulphate. This view is highly improbable, 
 as an almost constant ratio of A1 2 3 and Si0 2 has been found in the 
 solution by numerous investigators, and this constancy is the founda- 
 tion of the theory of the so-called " clay substance." 
 
108 THE CONSTITUTION OF CLAYS 
 
 Forchhammer 219 appears to have been the first to express any doubt 
 as to the unitary nature of clays. He supposed that in sulphuric acid 
 he had found a valuable " solvent " for clays and regarded that portion 
 which entered into solution as " clay " and the remainder as " un- 
 decomposed felspar." From time to time, doubts have been expressed* 
 as to the value of the so-called " rational analysis," but the remarkable 
 resistance of clays to strong acids is the chief reason why Forch- 
 hammer's conception of " clay substance " is still maintained, though 
 modern chemists represent it by a different formula. 
 
 Forchhammer 's theory of clays is now of merely historical interest 
 and must be abandoned as inconsistent with the facts. 
 
 [With it, the rational analysis must also be abandoned, at any rate as far as the 
 usual interpretation of its results are concerned, f] 
 
 There is, at the present time, no fact known which is not compatible 
 with the unitary chemical nature of clays as opposed to the view that 
 they are mixtures. 
 
 [This statement must be taken to refer to " purified " clays, for many materials 
 are commonly termed " clay " which obviously contain other constituents. Thus 
 " boulder clay " contains limestone and other stones, loams contain sand which may 
 be removed by simple washing, and many " clays " contain rock-debris of a nature 
 clearly distinct from clay. Unfortunately, some of these obviously " non-clay " 
 materials are in so fine a state that they cannot be perfectly separated by elutriation 
 or similar mechanical processes. It does, however, appear to be true that, quite apart 
 from the hexite-pentite theory, the essential constituents of clays are definite alumino- 
 silicates.] 
 
 Minerals of the allophane group are characterised by the ease with 
 which they are decomposed by acids. Other hydro-aluminosilicates, 
 including several clays, are only readily decomposed by dilute acids 
 after they have been heated very strongly. The reason for this 
 difference in the behaviour of substances which, according to the 
 authors' hexite-pentite theory, are analogous, can only be explained 
 in the following manner : 
 
 " Disdynamised " and " Dynamised " Compounds 
 
 It has been shown, in connection with the tungstates (p. 95), that 
 the presence of a base weakens the bonds in the ring-radicles of com- 
 plexes. Thus, tungstovanadates with a small content of base are not 
 decomposed by acids, but in those richer in base a precipitate of tungstic 
 acid readily forms when they are treated with acids. The bonds 
 between the ring-radicles of complex substances may also be weakened 
 in other ways, such as by an increase in the proportion of " water of 
 constitution " or " water of crystallisation " or by subjecting the 
 substance to a high temperature. 
 
 Compounds in which the chemical relationship between the ring- 
 
 * Seger investigated this subject and recommended it under the title of "rational 
 analysis " for relatively pure clays, but found it unsatisfactory for the clays used for 
 the manufacture of bricks, tiles, cement, etc. Brongniart and Malaguti 220 did not 
 question the " undoubted advantages of rational analysis," but saw in the results 
 obtained an uncertainty " which compels us to draw conclusions with very great care." 
 
 f Additions and comments by the translator which cannot conveniently be in- 
 serted as footnotes are printed in smaller type. 
 
EFFECT OF HEAT ON CLAY 109 
 
 radicles is weakened by these means so that the substance becomes 
 readily decomposable by dilute acids, are said to be " disdynamised " 
 in order to distinguish them from the " dynamised " substances which 
 resist the action of dilute acids. 
 
 The reason why minerals of the allophane group are readily 
 decomposed by dilute acids is now clear : in them the relationship 
 between the silicon- and aluminium-hexites has been weakened by 
 the presence of a high proportion of combined water. 
 
 Clays usually contain only " water of constitution " ; on heating to 
 vitrification they are disdynamised and then behave like the analogous 
 minerals of the allophane group. 
 
 [The vitrification point of a clay is that temperature to which it must be heated 
 in order that sufficient fusion may occur for most of the pores in the clay to be filled 
 with fused matter, yet without the material losing its original shape to any appreciable 
 extent. In most clays there appears to be no single temperature at which this occurs 
 to the exclusion of others ; the material becomes vitrified gradually throughout a range 
 of temperature which sometimes extends over 400 C., though some clays vitrify com- 
 pletely in a very few moments after the fusion of some of their constituents has com- 
 menced. This property of vitrification is extremely important in the technical appli- 
 cation of clays ; further information about it will be found in the translator's " British 
 Clays, Shales, and Sands." 706 It is, however, possible that this range of vitrification is 
 due to difficulties in maintaining a perfectly constant temperature for a sufficiently long 
 time. If, as Doelter has suggested, the vitrification point is definable as that at which 
 fusion is first observed to commence, and if, further, in accordance with A. Stock's 
 investigations, which showed that the vitrification point and the true melting point 
 of a silicate are identical and that vitrification occurs on heating perfectly pure crystal- 
 line chemical compounds, then it should be possible to produce a completely vitrified 
 mass by maintaining the material for a sufficiently long time at the lowest temperature 
 at which fusion can be observed to occur. The cost and difficulty of doing this with 
 reasonably large masses of clay are very great, as the conductivity of the material is 
 so low, but so far as the translator's own experiments go, and in so far as he has been 
 able to find other similar experimental evidence, there are good reasons for believing 
 that the apparent range of vitrification or of fusion is merely a result of the extra- 
 ordinarily low conductivity of clay and of the high temperature at which fusion occurs. 
 Could clays be fused at temperatures as easily observed as those used in studying the 
 melting points of many organic compounds, there is great probability that pure clays 
 would be found to have a sharply defined melting point. As it is, the only means of 
 effecting vitrification or fusion within a reasonably short time consists in raising the 
 temperature considerably above that which would be necessary if time were no con- 
 sideration. In other words, the term " range of vitrification " indicates a practical 
 experience even if it may lead to the erroneous assumption that clays differ from 
 other definite chemical compounds in not having a sharp, well-defined melting 
 point.] 
 
 In order to understand the nature of the state of disdynamisation 
 produced when clays are heated to vitrification, it is necessary to 
 assume that oxygen has two kinds of valency primary and secondary 
 and that the bonding of the ring-radicles is due to both the primary 
 and the secondary valencies of oxygen. If the proportion of base or 
 combined water in the compound is increased, the secondary valencies 
 are set free either partially or completely according to the proportion 
 of base or water. On increasing the temperature, the bound secondary 
 affinities are also partially or completely liberated, according to the 
 temperature to which the substance is heated. 
 
 It is conceivable that as soon as the secondary valencies are set 
 free, a looser bond must exist between the ring-radicles of the complexes 
 concerned. 
 
110 CONSEQUENCES OF THE H.P. THEORY 
 
 At the vitrification temperature, the nascent secondary oxygen 
 valencies of the disdynamised clay molecules at once begin to be 
 liberated, and this may readily lead to the formation of polymerisation 
 products. If the temperature increases, the liberation also increases, 
 and when it is complete the whole of the material is reduced to a 
 molten state. It is clear that as the temperature rises, the polymerisa- 
 tion increases, and this is, necessarily, followed by an increase in 
 density. When the mass is completely fused, the point of maximum 
 density will have been reached. 
 
 [Some highly interesting investigations by R. Rieke 707 on the temperature at 
 which certain clays lose their " combined water " are worth special attention. This 
 investigator followed Le Chatelier's observation that if a sample of kaolin is slowly 
 heated there is a point at which the temperature ceases to rise for some minutes, after 
 which it again rises steadily. If the temperature and duration of the heating are 
 plotted as ordinates and abscissae, the graph produced will show a marked flattening 
 about 500 C. Rieke examined 10 kaolins, 8 plastic fireclays, 6 non-refractory clays 
 (red-burning), and 2 shales, and in each case he found that a marked absorption of 
 heat occurred and was shown by the flattening of the graph at a temperature of 500 
 to 580 C. The purer the clays, the more noticeable is this break in the rise of tem- 
 perature. 
 
 In clays containing much free quartz the absorption of heat is obscured by the 
 reactions which the quartz undergoes at the temperatures mentioned, and the more 
 complex graphs of the impure clays may be further affected by the reactions of other 
 compounds present. 
 
 Rieke also found that the loss of water corresponded to the flattening of the heat- 
 ing curve; a notable evolution of water commences at 450 C., and almost the whole 
 of the water is removed at a temperature of 550 to 600 C., though for its complete 
 expulsion prolonged heating at a higher temperature appears to be necessary. The 
 rate of evolution of water is not regular, and diminishes rapidly when most of the 
 water has been removed. It is increased by reducing the pressure of the air surround- 
 ing the clay. 
 
 Mellor and Holdcroft 708 have independently confirmed Rieke's observations with 
 respect to china clay, and have concluded that the " china clay molecule " must have 
 its OH-groups placed symmetrically. They accept a slight modification of Groth's 
 formula,* viz. : 
 
 HO HO 
 
 More recently, Mellor has examined crystalline kaolinite in a similar manner and 
 finds its behaviour is identical with that of the purest Cornwall china clay. 
 
 Unlike the authors of the present volume, Mellor and Holdcroft conclude that the 
 " clay molecule " is decomposed into its constituent oxides alumina and silica at 
 500 C.,f and consider that the formation of sillimanite at higher temperatures (1200 C.) 
 is a confirmation of this in accordance with the equation : 
 
 A1 2 3 + Si0 2 = Al 2 Si0 5 . 
 
 They agree that polymerisation of the alumina occurs (with evolution of heat at 
 800 C.), but have published no formula for the polymerisation-product. In other 
 words, they regard the latter as though it were the simple non-polymerised substance 
 when (according to them) it reacts at 1200 C. with the silica to form sillimanite. 
 
 * The views of the authors of the present volume as to the distribution of the 
 OH-groups are described at greater length in the later sections on Ultramarine, 
 Portland Cements, and Porcelain Cements and the following formulae are also criti- 
 cised on p. 116. 
 
 t See p. 113. 
 
BURNING CLAYS 111 
 
 W. Pukall 710 has suggested the formula : 
 
 OH 
 
 HO Si O O Al OH 
 
 HO Si O O Al OH 
 OH 
 
 and in opposition to all other writers indicates a double bond between the silicon 
 atoms. From what has been stated on previous pages, however, the bond between the 
 silicon atoms must contain oxygen. The view that a direct connection exists between 
 the silicon atoms is also held by Simmonds 721 , who studied the action of hydrogen at 
 high temperatures on lead meta-silicate, to which is usually assigned the formula : 
 
 He reached the conclusion that both oxygen atoms cannot occupy similar positions, 
 and suggested the following formula for this silicate : 
 
 Si Si Si 
 
 O O O O O O 
 
 II II 
 
 R O O R 
 
 Simmonds thus suggests that the silicon atoms are connected directly with each other 
 and not through the medium of oxygen atoms. Manchot and Keiser 722 were unable 
 to confirm Simmonds' observation on lead silicates, and rightly argue that silicon 
 compounds in which the silicon atoms are directly connected with each other must 
 evolve hydrogen when treated with hydrofluoric acid and then with alkali, yet this 
 reaction never occurs with the silicates now under consideration. Manchot 723 uses 
 this argument in criticising Pukall' s formula, and adds that such a double bond would 
 imply that kaolinic acid would be more easily decomposed by alkalies than by other 
 silicates with a single bond, whereas kaolinic acid is very resistant to alkalies. 
 
 Singer 724 has also criticised Pukall's formula unfavourably and has pointed out 
 that a double silicon bond, like a double carbon bond, is a source of weakness in a com- 
 pound rather than one of strength. 
 
 The re-combination of water with the dehydrated kaolin is also of interest as 
 throwing further light on the constitution of the molecule. Mellor and Holdcroft (I.e.) 
 found that even in an autoclave at 300 C. under a pressure of 200 atmospheres the 
 dehydrated china clay only absorbed 2-5% of water. Rieke found that a Bohemian 
 kaolin, which had been heated at 500 C. until all the water had been removed, could 
 only be made to re-combine with 1-1% of water. The very small proportion of re- 
 combination which occurs is a further proof of the remarkably high stability of the 
 
 anhydride Si Al Al Si, as pointed out by the authors of the present volume.] 
 
 Burning Clays 
 
 [" Burning " is a term used to indicate the heating of articles made of clay under 
 industrial conditions in kilns or ovens in order to give them the characteristics desired 
 in pottery, bricks, tiles, etc. It differs from simple heating (or calcination) in that the 
 clays have been formed into articles of the desired shape and in that the heating must 
 usually be prolonged and the rise in temperature must be very slow so as to avoid the 
 splitting and cracking of the goods. 
 
 This explanation is necessary, as the shape of the articles and the speed of the 
 heating are important determinants of the character of the heated material. In 
 " burning," clays are never supposed to be heated to such an extent as to cause them 
 to fuse sufficiently for loss of shape to occur. When this happens they are " over- 
 burned."] 
 
 So long as clays are regarded as mixtures of quartz, undecomposecl 
 felspar and " clay substance," no satisfactory explanation of what 
 occurs during the burning is possible. The great difference in the effect 
 of dilute acids on raw and burned clays makes it obvious that some 
 
112 CONSEQUENCES OF THE H.P. THEORY 
 
 definite chemical reactions must occur during the burning. The nature 
 of these reactions has, hitherto, been inexplicable. From a " mixture," 
 all kinds of simple and double salts might be formed, and these cannot 
 be adequately examined. Yet a correct understanding of the burning 
 process is not only of academic value, but of great practical importance. 
 Hence, the hexite-pentite theory should be of great assistance in in- 
 dicating the chemical reactions which take place on burning. 
 
 These reactions may be stated in terms of the Disdynamisation 
 Theory (p. 108) as follows : 
 
 1. On heating a clay to vitrification, part of or all the " water of 
 constitution " is evolved. Secondary valencies of some of the oxygen 
 atoms are set free, but the clay itself retains its unitary chemical nature 
 and is not decomposed into its constituent oxides. 
 
 2. If the temperature exceeds that necessary for vitrification, the 
 free valencies liberate themselves and form polymerisation products, 
 the clays eventually fusing either partially or completely. Hence fused 
 clays must possess properties chemically different from those which 
 have been merely vitrified. The density of fired clays must also be 
 higher than that of vitrified clays. 
 
 3. Vitrified clays must be more easily attacked by acids than un- 
 vitrified ones. 
 
 [This " consequence " is erroneous, as explained below.] 
 
 [In this connection, the extensive use of vitrified (stoneware) clays in the manu- 
 facture of acids and in the construction of appliances (stills, etc.) in which hot acids 
 are used is important. General experience appears, at first sight, to be in direct con- 
 tradiction to the authors' statement in this paragraph, as vessels made of clay which 
 has been vitrified are usually found to be amongst the most powerful resistants to all 
 acids except hydrofluoric. 
 
 It is probable, however, that polymerisation products and the presence of these 
 and of fused material of a highly resistant nature may be the cause of this anomaly, 
 the term " vitrified " used in the text being understood to refer to clays which have 
 only been heated to the lowest temperature at which vitrification can possibly occur, 
 and not to a temperature at which polymerisation products are formed. If this is 
 the case and the disdynamic action is stopped on polymerisation or partial fusion, the 
 apparent anomaly is destroyed and the authors' theory becomes conformable to 
 general experience.] 
 
 The observations of Mellor and Holdcroft 708 and others show that 
 clay which has been heated to a certain temperature is (in accordance 
 with the theory) more readily attacked by acids than that which has 
 not been heated. It is also a well-known fact that on further heating 
 at a still higher temperature a material is produced which is resistant 
 to acids (in contradiction to the theory). Such polymerisation as 
 occurs will, however, make the heated clay resistant to acids. In this 
 connection it must be remembered that the polymerisation brought 
 about by disdynamisation is itself a dynamisation and so increases the 
 resistance of the material to chemical influences. The rise of tempera- 
 ture can, in fact, only have a complete disdynamic action when no 
 polymerisation occurs. This fact was overlooked by the authors until 
 it was pointed out to them by A. B. Searle, and this oversight is the 
 cause of the erroneous conclusion reached in Consequence 3 of the 
 theory. 
 
ISOMERISM AND POLYMERISATION OF KAOLIN 113 
 
 4. The so-called ''decomposition" (p. 107) by concentrated acids 
 is merely a disdynamisation. 
 
 The observation of R. Rieke that, on burning clays, their tempera- 
 ture does not rise steadily, but remains constant for a long time, not- 
 withstanding the increased temperature of the kiln, may be explained 
 in terms of the new theory if the constant temperature occurs at the 
 sintering point of the clay. 
 
 The statement made by Desch that clays heated to 700 can easily 
 add calcium silicate, calcium aluminate, or calcium hydrate may be 
 explained by the new theory of burning stated below. 
 
 The behaviour of the silicate molecule towards acids also depends on 
 the number of aluminium hydro xyl groups in the molecule. This must 
 always be borne in mind when studying this subject, and is therefore 
 dealt with exhaustively in the following chapter. 
 
 There can be no doubt that the rise in temperature exerts a dis- 
 dynamising action on clays, and that in consequence of this action 
 molecular changes are produced in addition to such polymerisation as 
 may occur. This is particularly the case with kaolin, as will be seen on 
 reading the following chapter. If the theory is extended in this 
 manner it will be found to be in complete agreement with the observed 
 facts. 
 
 It is not then necessary, as Mellor and Holdcroft suggest, to 
 assume that, on heating, clays are decomposed into free silica and 
 alumina and that a re-combination of these oxides occurs on further 
 heating. 
 
 The investigations of Richter, Bischof, Jochum, Rieke and others 
 have shown that the fusing point of clays is greatly influenced by the 
 impurities, such as quartz, alkalies, etc., present. A theory of burning 
 to be satisfactory must take this into consideration. 
 
 This consideration of the burning process may be allowed to suffice 
 as an explanation of the decomposition of slightly heated clay by 
 acids and its greater resistance after heating at a higher temperature. 
 At the same time, this theory of burning leads to no conclusions 
 with regard to certain properties of kaolin which are described in 
 the following chapter. It may, therefore, be necessary to modify 
 the application of the Disdynamisation theory to burning, as 
 further facts are observed. 
 
 The Isomerism and Polymerisation of Kaolin 
 
 From the formula 6 H 2 6 A1 2 3 12Si0 2 (kaolin) two isomeric 
 substances may be formed. * 
 
 * If a rule is made to name the central core first and then the side chains, the 
 acid A may be termed di-h-alumino-di-h- silicic acid, and the acid S di-h-silico-di-h- 
 aluminic acid. Hence the salts of the ,4-acid and all silicates with a central aluminium 
 core may be termed aluminosilicates, whilst the salts of the $-acid and all compounds 
 with a central silicon core may be termed silicoaluminates. 
 
 I 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 III I I I I 
 
 114 
 
 Al I Si j Si Al I 
 
 I I I I 
 A. S. 
 
 A number of derivatives of these two acids in which pentites replace 
 hexites are theoretically possible : 
 
 y\/\/\/v _AAA/'\ 
 
 Si Al Al Si 
 
 and I Al j Si I Si I Al 
 
 L 
 
 \/ 
 
 A'. 
 
 S'. 
 
 Si ~ and 
 
 In accordance with the foregoing nomenclature these acids may be 
 termed : 
 
 A' Di-p-alumino-di-h-silicic acid. 
 
 A" Di-h-alumino-di-p-silicic acid. 
 
 |' Di-p-silico-di-h-aluminic acid. 
 
 S" Di-h-silico-di-p-aluminic acid. 
 
 The acids with central aluminium rings may be shortly termed a- 
 kaolinic acids, and those with central silicon rings as s-kaolinic acids. 
 
 Two, three or more molecules of the acids A, A', or A" and of the 
 acids S, S' or S" may lose certain molecules of water and then unite to 
 form polymerisation products. Thus, the following compounds are 
 possible : 
 
 /\/ 
 
 Si 
 
 Al Al 
 
 Si 
 
 Si Al Al 
 
 \AA 
 
 A 2 
 
 Si 
 
ISOMERISM AND POLYMERISATION OF KAOLIN 115 
 
 /\/\/\/\ 
 
 i /x/ YY x 
 
 I Al Si I Si I 
 
 \/\/\/\ 
 
 III! 
 
 /\/\/\/ 
 
 I Al | Si I Si | Al 
 
 \/\/\/\ 
 
 etc. etc. 
 
 On polymerisation, separation of water can only occur in two 
 analogous rings, as in the centre of the S' 2 or the side rings of the S" 2 
 compounds. 
 
 Between the a- and s-kaolinic acids and their salts there must be a 
 genetic relationship, as they can be converted into each other. This 
 transformation may be represented as follows : 
 
 I. Conversion of the a-kaolinic acid into s-kaolinic acid : 
 
 a-kaolinic acid. 
 
 a-kaolinic acid. 
 
 a-kaolinic acid. 
 
 s-kaolinic acid. 3-kaolinic acid. 
 
 II. Conversion of the s-kaolinic acid into a-kaolinic acid 
 
 Al Si Si Al 
 
 a-kaolinic acid. 
 
 5-kaolinic acid. 
 
 -kaolinic acid. 
 
 a-kaolinic acid. 
 
 a-kaolinic acid. 
 
116 CONSEQUENCES OF THE H.P. THEORY 
 
 In an analogous manner the polymerised a-kaolinic acids may be 
 converted into polymerised s-kaolinic acids and vice versa. 
 
 In the chapter on Ultramarines and Porcelain cements two kinds 
 of hydroxyl groups in kaolinic acids are described : termed a- and s- 
 hydroxyls, respectively. The former the hydroxyls of the aluminium 
 rings are acidophillic, and the latter the hydroxyls of the silicon 
 rings are basophillic. The kaolinic acids both simple and poly- 
 merised appear to contain more s-hydroxyls and less a-hydroxyls ; 
 the s-kaolinic acids, on the contrary (both simple and polymerised), 
 contain more a-hydroxyls and less s-hydroxyls. 
 
 These variations in the number of a- and s-hydroxyls of the a- and 
 s-kaolinic acids must result in these acids having a different relationship 
 to other acids and a different solubility in acids. The more a-hydroxyls 
 a-kaolinic acid contains, the more soluble must it be in acids, or in other 
 words, the s-kaolinic acids must usually be more soluble in acids than 
 the analogous isomers or a-kaolinic acids. 
 
 As the degree of polymerisation must diminish with a-hydroxyls, 
 it follows that, cceteris paribus, the polymerised kaolinic acids must be 
 less soluble in acids than the non-polymerised ones. From the theory it 
 follows that the anhydrides of the a-kaolinic acids have the lowest 
 degree of solubility in acids, and therefore the greatest resistance to 
 acids. If the plasticity of clays is a function of the water of constitution 
 (see p. 65) it follows that : 
 
 1. The a-kaolinic acids can generally have a higher degree of 
 plasticity than the s-kaolinic acids, as the former contain more water 
 of constitution. 
 
 2. The polymerised kaolinic acids have, cceteris paribus, a lower 
 plasticity than the non-polymerised ones. 
 
 The a- and s-kaolinic acids must also differ from each other in 
 physical characters, such as density, resistance to reagents, etc., as 
 well as in chemical structure. There is another interesting consequence 
 of the new theory as applied to kaolinic acids : In the salts of the 
 kaolinic acids, such a compound as 
 
 I II II ! 
 
 '\/\_ 
 
 8 Na 2 6 A1 2 3 12 Si0 2 , 
 Normal sodium s-kaolinate. 
 
 must have the sodium united to the silicon ring (i.e. s-sodium) 
 more strongly than the a-sodium attached to the aluminium ring ; 
 i.e. in this compound half the sodium must be more strongly united 
 than the remainder. It is also probable, on a priori grounds, that this 
 sodium salt will behave differently towards different acids ; the 
 stronger acids can remove the whole of the sodium (both a- and s- 
 sodium), but the weaker acids can only remove the a-sodium. 
 
PUKALUS EXPERIMENTS ON KAOLIN 
 
 117 
 
 The Hexite-Pentite Theory and the Facts 
 
 The available experimental material is in entire agreement with 
 the theory developed in the preceding pages. In this connection the 
 work of (a) W. Pukall 710 and (b) Mellor and Holdcroft 708 on kaolinisa- 
 tion is of special value. 
 
 The Study of Kaolinisation by W. Pukall 710 
 
 W. Pukall has endeavoured to prepare kaolin synthetically, and 
 from a mixture of 18-75 of quartz, 24-38 of aluminium hydrate, 150 of 
 caustic soda and 75 c.c. water heated in a silver crucible until the 
 mass became stiff, he obtained a product which, on washing, yielded a 
 white, crystalline substance which melted at Seger cone 7 (about 1270), 
 i.e. the temperature at which salt glazed ware is glazed. 
 
 Zettlitz kaolin or English china clay when melted with ten times 
 its weight of common salt at 950 C. evolved water and hydrochloric 
 acid and combined with sufficient soda (28%) to be comparable to 
 Na 2 O A1 2 3 2 Si0 2 . Both these kaolins are converted into a crystal- 
 line substance. 
 
 Multiplying the formula just mentoned by 6, the following com- 
 pound : 
 
 6 Na 2 6 A1 2 3 12 Si0 2 12 H 2 0, 
 
 is formed ; it may be the salt of either an a- or an s-kaolinic acid. 
 
 From Pukall's investigations it appears highly probable that the 
 salt he obtained is a polymerised sodium s-kaolinic acid of the following 
 formula : 
 
 12H 9 
 
 I 
 6 Na 2 6 A1 2 3 12 Si0 2 12 H 2 O. 
 
 As the ratio A1 2 3 : Si0 2 in the salt obtained by Pukall is the same 
 as that in kaolin, he endeavoured to remove the Na 2 O and to obtain 
 the free acid, i.e. the " kaolin." For this purpose he used two methods : 
 by treatment with (a) carbonic acid and (b) hydrochloric acid. The 
 results of these two experiments, whilst in agreement with the H.P. 
 theory, were quite different : the carbonic acid, as a weak acid, only 
 removes the a-sodium and converts the Si-hexites into pentites ; the 
 
118 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 hydrochloric acid, as a strong acid, removes the whole of the a-sodium 
 and half the s-sodium, as may be seen from the following : 
 
 a. THE BEHAVIOUR OF PUKALL'S SODIUM S-KAOLINATE TOWARDS 
 
 CARBONIC ACID 
 
 The sodium di-s-kaolinate (6 Na 2 6 A1 2 3 12 Si0 2 12 H 2 0) 
 of the above-mentioned structure was heated in a Soxhlet's apparatus 
 for 264 hours with carbonic acid in order to remove the soda, and by 
 this means Pukall obtained a substance corresponding to the formula 
 
 12H 2 
 
 2 Na 2 4 H 2 10 Si0 2 6 A1 2 3 12 H 2 0. 
 
 The analyses made confirm this formula : 
 
 Na 2 H 2 A1 2 3 SiO 2 
 
 Calculated 7.63 17.76 37.68 36.94 
 
 Found 7.10 19.95 37.49 36.82 
 
 The carbonic acid converts the Si-hexite into Si-pentite as already 
 described. The feebly acid carbonic acid can only remove the acido- 
 phillic aluminium rings, and not the strongly basophillic Si-rings. 
 
 b. THE BEHAVIOUR OF PUKALL'S SODIUM S-KAOLINATE TOWARDS 
 HYDROCHLORIC ACID 
 
 Pukall also endeavoured to remove the Na 2 in the sodium salt 
 above mentioned by means of a stronger acid, for which purpose he 
 selected hydrochloric acid. The sodium salt dissolves in this acid 
 and is obtained, on treatment with ammonia, in the form of a 
 voluminous white precipitate corresponding to 
 
 Calculated 
 Found . 
 
 (R 2 4 H 2 
 0.5 Na 2 O 
 
 ... 1.77 
 . 2.15 
 
 0.5 (NH 4 ) 2 
 1.48 
 1.26 
 
 12 SiO 2 
 12 SiO 2 
 
 41.16 
 
 42.07 
 
 6A1 2 3 ) 2 
 6 A1 2 3 
 34.99 
 36.33 
 
 32 H 2 0. 
 20 H 2 0. 
 
 20.58 
 20.00 
 
PUKALL'S EXPERIMENTS ON KAOLIN 119 
 
 Pukall did not determine the proportion of Na 2 and (NH 4 ) 2 and 
 suggested the following formula : 
 
 3H 2 A1 2 3 2Si0 2 
 
 Calculated 19.57 36.91 43.47 
 
 Found 20.00 36.93 42.07 
 
 The hydrochloric acid, being a strong acid, removes some base from the 
 sodium salt, yet a small proportion of the base still remains. It is 
 probable that the hydrochloric acid removes half the s-sodium ; the 
 remainder being replaced by NH 4 . 
 
 It has already been shown that the chemical and physical properties 
 of any s-kaolinic acid must differ from those of any a-kaolinic acid, and 
 an acid s-kaolinate must differ still more widely from " kaolin " (a- 
 kaolinic acid). As a matter of fact, Pukall has proved that kaolin is 
 different from the kaolinate inasmuch as the former only loses its water 
 on heating to redness, but the latter parts with half its water at 
 temperatures below 350 C. and the remainder on heating to redness. 
 Other properties of these two substances also confirm the view that 
 they require different structural formulae. Kaolin, for example, is 
 very plastic on account of the many OH-groups it contains. The 
 number of OH-groups in the acid kaolinate is much less and part of 
 them are replaced by basic groups. Hence, it is not surprising that 
 Pukall should find this salt to be less plastic than kaolin.* When 
 PukalTs salt is mixed with quartz and felspar it forms a very lean 
 mixture, and on heating this to 1370 a beautiful, white, translucent 
 porcelain is produced. If the same salt is mixed with free silica and 
 alumina the mixture is not plastic, though kaolin, when similarly 
 treated, retains its plasticity. Moreover, this mixture does not produce 
 a true porcelain on burning. 
 
 Pukall has also prepared the above-mentioned sodium salt of 
 s-kaolinic acid by another method. On boiling and then fusing kaolin 
 with caustic soda and a little hydrated alumina, and then washing the 
 product, a white crystalline mass is obtained which Pukall has shown 
 to be the above-mentioned sodium s-kaolinate. This method is of 
 great theoretical importance, as it shows a definite genetic relationship 
 must exist between the a-kaolinic acid and the s-kaolinic acid ; one 
 being converted into the other under certain conditions. This agrees 
 with the results obtained by Mellor and Holdcroft and discussed in the 
 next section. 
 
 Pukall has, further, made the interesting discovery that if silica and 
 alumina are heated with an excess of a very strong alkali solution the 
 compound produced (#A1 2 3 2#SiO 2 ) always has the same molecular 
 ratio of alumina and silica, no matter whether the silica and alumina 
 are free or in a combined state. 
 
 * For notes on the relationship between plasticity and chemical constitution, see 
 page 133. 
 
120 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 II 
 The Study of Kaolin by Mellor and Holdcroft 708 
 
 Mellor and Holdcroft have studied the structure of kaolin by 
 means of the purest china clay obtainable, this kaolin having a com- 
 position approximating very closely indeed to the formula : 
 
 A1 2 3 2 Si0 2 2 H 2 0. 
 
 The result of their investigations leads to the conclusion that in all 
 probability china clay is an a-kaolinic acid with a structure represented 
 by the formula * : 
 
 II I I II 
 
 Si 
 
 2 H 2 6 A1 2 3 12 SiO 2 10 H 2 0. 
 
 This a-kaolinic acid is converted on heating to 500-600 C. into a 
 derivative of s-kaolinic acid, as shown in the following diagram : 
 
 At a higher temperature (800-900 C.) the s-kaolinic anhydride is poly- 
 merised with a liberation of heat, and at a temperature of 1100-1200 
 the polymeric anhydride of the s-acid is converted into a polymeric 
 anhydride of the a-kaolinic acid with absorption of heat. 
 
 In this way the genetic relationship between the 6-- and the 
 a-kaolinic acid previously discovered by Pukall is confirmed. 
 
 The changes just mentioned are based on the following con- 
 siderations : 
 
 1. The heating curve plotted by Mellor and Holdcroft for pure 
 kaolin shows, at temperatures above 500 C., a reduction in the rate 
 at which the temperature rises, and this is doubtless due to the occur- 
 rence of an endothermic or heat-absorbing reaction. At 900 C. a 
 feeble exothermic reaction occurs, and between 1000 and 1200 another 
 strong endothermic reaction takes place. These three " critical 
 temperatures " are due to f : 
 
 (a) The conversion of the a-kaolinic acid into the anhydride of 
 s-kaolinic acid. 
 
 (b) The polymerisation of the anhydride of the s-kaolinic acid. 
 
 (c) The conversion of the polymerised anhydride of the s-kaolinic 
 acid into a polymerised anhydride of the a-kaolinic acid. 
 
 * Mellor and Holdcroft's formula is given on p. 110. 
 
 t Mellor and Holdcroft's interpretation of these results is given on p. 122. 
 
MELLOR & HOLDCROFrS EXPERIMENTS ON KAOLIN 
 
 2. If this conversion of the a-kaolinic acid into an anhydride of 
 the s-kaolinic acid really does take place at a temperature of 500-600C. 
 as stated above, it follows that the product formed by heating kaolin 
 to this temperature must be more readily soluble than the original 
 kaolin. This interesting consequence of the H.P. theory has been 
 independently and experimentally confirmed by Mellor and Holdcroft, 
 who found that the dehydrated kaolin is more active than the kaolin 
 from which it was prepared, and its solubility in acetic, hydrochloric 
 and nitric acids is greater than that of the unburned kaolin. 
 
 It is probable that the anhydride of the s-kaolinic acid formed at 
 600 C. becomes partially hydrated when under the influence of these 
 acids, and the acidophillic OH-groups (the a-OH-groups) thus formed, 
 and twice as numerous as the OH-groups in the a-kaolinic acid mole- 
 cule, will make the product more closely related to acids and will 
 simultaneously increase its solubility in acids. 
 
 3. A glance at the structural formulae of the simple and poly- 
 merised a- or 5-kaolinic acids shows that : 
 
 (a) The polymerised anhydrides of the a- and s-kaolinic acids must 
 have a greater resistance to acids than those which are not poly- 
 merised. 
 
 (b) The greatest resistance to acids must be shown by the anhy- 
 drides of the polymerised a-kaolinic acids, and 
 
 (c) The s-kaolinic acids and their anhydrides must split off alumina 
 more readily than silica, when treated with acids. 
 
 These consequences of the H.P. theory are all confirmed by Mellor 
 and Holdcroft 's experiments ; the following being of special interest : 
 
 Samples of china clay, which had been maintained at various 
 temperatures, were shaken mechanically, with hydrochloric acid of 
 specific gravity 1-165 diluted with an equal volume of water, for two 
 hours, and the proportions of alumina and silica dissolved were then 
 determined. Pure hydrated alumina and pure hydrated silica were 
 similarly treated. The results are shown in the following Table : 
 
 Kaolin. 
 
 Alumina. 
 
 Silica. 
 
 Tempera- 
 ture. 
 
 Loss on 
 Heating. 
 
 Soluble Matter. 
 
 Loss on 
 Heating. 
 
 Soluble 
 
 Matter. 
 
 Loss on Heating. 
 
 Soluble 
 Matter. 
 
 
 % 
 
 SiO, %. 
 
 AJ.O, % 
 
 % 
 
 % 
 
 % 
 
 % 
 
 100 
 
 12.64 
 
 0.08 
 
 0.12 
 
 
 
 16.00 
 
 2.60 
 
 600 
 
 1.37 
 
 0.16 
 
 0.16 
 
 2.45 
 
 42.96 
 
 
 
 1.36 
 
 700 
 
 0.62 
 
 0.12 
 
 0.98 
 
 2.41 
 
 20.40 
 
 
 
 1.36 
 
 800 
 
 0.56 
 
 0.12 
 
 0.68 
 
 1.58 
 
 7.84 
 
 1.24 
 
 1.12 
 
 900 
 
 0.23 
 
 0.12 
 
 0.20 
 
 1.65 
 
 5.92 
 
 0.43 
 
 0.76 
 
 1000 
 
 0.25 
 
 0.06 
 
 0.16 
 
 0.05 
 
 0.00 
 
 0.05 
 
 0.68 
 
 
 
 
 
 
 
 (at 1200) 
 
122 CONSEQUENCES OF THE H.P. THEORY 
 
 It will be observed that the solubility of the alumina in the china 
 clay after heating to 600 is only slightly higher than that in the clay 
 heated to 100. It appears as if the conversion of the a-kaolinie acid 
 into s-kaolinic acid commences at this temperature. At 700 there is a 
 notable increase in the proportion of soluble alumina ; at higher 
 temperatures the solubility of the alumina appears to diminish so that 
 at 8QO C. it is only 0-68 ; at 900 it is still lower, and, at 1000, the 
 solubility of both silica and alumina is very small. The solubility of 
 the alumina in china clay does not agree entirely with the conclusions 
 previously expressed (see Section I, p. 120) in which it was stated that 
 the conversion of the a-kaolinic acid into the anhydride of the 
 s-kaolinic acid occurs at 500-600 C., but the above Table clearly offers 
 a general confirmation of the theory inasmuch as it shows an increased 
 solubility in hydrochloric acid as the temperature to which china clay 
 is heated is increased. 
 
 4. The specific gravity of the s-kaolinic acids must, clearly, 
 differ from that of the a-kaolinic acids and the investigations of Mellor 
 and Holdcroft have shown that this is the case, the specific gravity 
 diminishing as the conversion of the a- into the s-kaolinic acid takes 
 place. The Table below shows that at 600 the specific gravity of the 
 clay is distinctly lower than at 110. 
 
 At high temperatures the polymerisation which occurs and the 
 formation of the polymerised anhydride of a-kaolinic acid must 
 necessarily result in a series of increases in the specific gravity of the 
 material. Mellor and Holdcroft have (without recognising the true 
 nature of the compounds with which they were dealing) determined 
 the specific gravity of the various a- and s-kaolinic acid derivatives, as 
 shown in the following Table : 
 
 Temperature. 
 
 110 
 
 600 
 700 
 800 
 900 
 1000 
 
 Specific Gravity. 
 
 2.615 
 2.473 
 
 2.469 
 2.497 
 2.560 
 2.734 
 
 Hence the various consequences of the H.P. theory as applied to 
 the kaolinic acids are in complete agreement with the facts. 
 
 Mellor and Holdcroft have endeavoured to explain the three 
 critical temperatures (500-600, 800-900, and 1100-1200), mentioned 
 above, which are recognisable on heating kaolin, and the abnormal 
 behaviour of dehydrated kaolin to wards acids, on the assumption that 
 (a) between 500 and 600 the substance loses all its water and is 
 decomposed into free silica and alumina, (6) polymerisation of the 
 alumina occurs at 800-900, and (c) the free silica and alumina re-com- 
 
REVIEW OF MELLOR & HOLDCROFTS EXPERIMENTS 123 
 
 bine at 1100-1200. This explanation of Mellor and Holdcroft's is 
 highly improbable, and is contradicted by their experimental results. 
 Thus, the Table showing the solubility of kaolin, alumina, and silica 
 which have been heated to various temperatures (supra) shows that 
 at 700 only 0-98 per cent, of the alumina presumably set free from the 
 china clay is dissolved, whilst 20-4 per cent, of the hydrated alumina is 
 dissolved under similar conditions. To suggest that this low solu- 
 bility is due to the alumina being in the nascent state is to make the 
 whole experiment quite inexplicable, as alumina definitely known to be 
 in this state has a still higher solubility. In any case, such a difference 
 in solubility as Mellor and Holdcroft suppose is quite incomprehensible, 
 and their assumption that the alumina from the clay is more readily 
 converted into an insoluble modification than that existing when 
 hydrated alumina is heated is untenable, as the difference in solubility 
 is far too large. Moreover, such an assumption is unnecessary, 
 because, as already explained, the hexite-pentite theory gives a much 
 simpler interpretation which is in closer agreement with the facts. 
 
 The hygroscopicity of china clay, alumina and silica which had been 
 heated to various temperatures has also been determined by Mellor 
 and Holdcroft. The values obtained appear to be in opposition to the 
 assumption that china clay is dissociated into free alumina and free 
 silica at 500-600. 
 
 The hygroscopicity was determined by standing the materials for 
 24 hours at 25 over 10 per cent, sulphuric acid and noting the increase 
 in weight ; this was considered to be due to the water vapour absorbed. 
 The following results were obtained by these investigators : 
 
 Temperature. 
 
 Percentage of water absorbed. 
 
 
 China Clay. 
 
 Alumina. 
 
 Silica. 
 
 110 
 
 0.71 
 
 
 18.35 
 
 600 
 
 0.33 
 
 9.80 
 
 15.93 
 
 700 
 
 0.31 
 
 10.33 
 
 15.34 
 
 800 
 
 0.37 
 
 10.75 
 
 12.85 
 
 900 
 
 0.34 
 
 9.19 
 
 3.96 
 
 1000 
 
 0.04 
 
 0.01 
 
 0.00 
 
 The low hygroscopicity of china clay compared with that of silica 
 and alumina (600-900) is extremely puzzling if it is assumed that the 
 clay dissociates into free silica and alumina on heating. But in the light 
 of the H.P. theory this is readily understood. If china clay were to dis- 
 sociate as Mellor and Holdcroft assume, the product should have a 
 much higher hygroscopicity than it possesses. 
 
 Another interesting investigation of Mellor and Holdcroft is their 
 attempt to produce hydrous china clay from the dehydrated (heated) 
 material. Samples of china clay which had been maintained for a long 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 time at 600-640 and still contained 1-04 per cent, of water (approxi- 
 mately 1 molecule of H 2 0) were heated with water in an autoclave at 
 300 C. under a pressure of 200 atmospheres. The product, dried 
 over P 2 5 in vacuo, showed a loss on ignition of 3-63 per cent, (approxi- 
 mately 3-5H 2 0), the dehydrated china clay thus absorbing 2-5 per 
 cent, or 2-5 molecules of water. This behaviour may be predicted 
 from the Hexite-Pentite theory. 
 
 The Melting Points of Clays and other Aluminosilicates 
 
 [Technically, the melting point of certain aluminosilicates is of great importance. 
 Especially is this the case with clays used for the manufacture of furnace linings and 
 other refractory goods exposed to very high temperatures.] 
 
 The melting point of a substance has long been recognised as 
 closely related to its chemical constitution, and C. Bischof 727 was the 
 first to establish the existence of such a relationship. Unfortunately, 
 his conclusions have been found to be incorrect in detail, but this does 
 not prejudice his position of priority in this important subject. 
 
 [The fact should not be overlooked that the determination of the melting point 
 of clays is so difficult that reliable conclusions based upon it are almost impossible of 
 attainment in the present state of knowledge. What is usually termed the "melting 
 point" is merely the point at which the influence of heat is sufficient to cause the 
 bending of test pieces of an arbitrarily chosen shape (that of Seger Cones). 
 
 Clays do not appear to have any definite melting point, but, on heating, the 
 amount of fused matter gradually increases, partly by the direct action of the heat 
 and partly by the chemical action of the fused material on that which remains. Thus, 
 a clay which is maintained for a sufficiently long time at a comparatively low tempera- 
 ture will show a similar amount of fusion or vitrification to another clay which has 
 been raised to a higher temperature for a much shorter time. This fact is extensively 
 used in the manufacture of stoneware, paving bricks and other articles of vitrified 
 clay, as the loss of shape at a given temperature on prolonged heating is far less 
 serious than when a higher temperature is employed for a much shorter time. In 
 the manufacture of glazed goods, on the contrary, it is found that a little gloss, i.e. 
 a more complete fusion, is obtained by means of a more rapidly rising temperature to 
 which the goods are exposed for a comparatively short time. Hence, it is precisely 
 because clays behave as if they were composed of a refractory skeleton, the pores of 
 which are, on heating, gradually filled with a glassy material, that the manufacture 
 of stoneware, porcelain, etc. becomes possible. If clays melted uniformly the result 
 of heating them in kilns would not be the wares mentioned, but glasses and glazes. 
 
 It would remove much obscurity and many erroneous conclusions if the term 
 "melting point" in the literature of clays and clay- working were replaced by the term 
 softening point. The tests of the so-called melting point of clays and the temperatures 
 associated with Seger Cones do not refer to the true melting point at all, but merely 
 indicate the effect of the total forces acting on the material and resulting in a certain 
 change in shape. This change is brought about by the production in the mass of a 
 certain amount of fused or partially fused material and is the resultant of several 
 forces, the individual influence of which it is extremely difficult to calculate. 
 
 The generally accepted view of the phenomena observed in the melting point of 
 clays is that they point to the fusion of the least refractory materials in the clay 
 occurring first, this being followed by the gradual fusion of the remainder by the 
 fused portion. This view is confirmed by the fact that clays do not appear to have a 
 definite melting point like crystalline compounds, but a "range of fusion" such as is 
 found on heating heterogeneous mixtures. 
 
 In view of the H.P. theory, it is not impossible that the low conductivity of clay 
 for heat may lead to erroneous conclusions respecting the fusing points of articles 
 made of clay by preventing the heat reacting on the interior of the mass. The results 
 of prolonged heating at lower temperatures appear to confirm this view. To decide 
 whether a clay has a sharp melting point (like a single chemical compound) or a 
 
MELTING POINTS OF CLAYS, ETC. 125 
 
 "melting range" (like a heterogeneous mixture) it would be necessary to keep it for 
 a sufficiently long time at the lowest temperature at which any fusion appears to 
 occur. The time required is so great that the cost of such tests becomes prohibitive, 
 but until they have been made it is not logical to assume that the apparent behaviour 
 of clays is necessarily opposed to their being definite chemical compounds and not 
 mixtures. It is, moreover, not impossible that the progressive decomposition of the 
 molecules containing substituted elements may make what are really true compounds 
 behave as heterogeneous mixtures, though the former suggestion appears to afford a 
 more probable explanation.] 
 
 That a close relationship does exist between the melting point and 
 chemical constitution of a compound cannot be denied, and this being 
 the case, the following statements are direct consequences of the H.P. 
 theory : 
 
 1. Clays are usually kaolinic acids which have undergone a partial 
 polymerisation. In the theoretically possible compound : 
 
 I I 
 
 Si I Al I Al I Si 
 
 */V\ 
 
 II I I 
 
 18 H 2 18 A1 2 3 36 Si0 2 , 
 
 one or more hydrogen atoms may be replaced by K, Na, Ca, Mg, Fe, 
 etc. ; one or more aluminium atoms may be replaced by Fe, Mn, Cr, Co, 
 etc. ; one or more silicon atoms may be replaced by Ti, Zr, etc. By 
 such replacements compounds would be produced containing very 
 small percentages of certain elements which would, nevertheless, have a 
 marked influence on the melting point. It is obvious that this influence 
 must be different with different elements. Not only must bases have a 
 different effect on the melting point from that exerted by acids, but 
 the various bases and acids will vary in their individual influence. 
 Hence, the melting point of the material will be affected according as 
 K, Na, Ba, or Ca, etc. replaces one or more hydrogen atoms, and 
 whether a portion of the aluminium is replaced by Fe or Cr or Mn, etc., 
 or whether Ti or Zr is substituted for part of the silicon. 
 
 Other variations in the melting point will occur according as a 
 portion of the hydrogen, aluminium or silicon is replaced by analogous 
 substances. 
 
 In all these cases the melting point is a periodic function of the 
 atomic weight of the substituting element, i.e. there must be a definite 
 relationship between the change in the melting point and the atomic 
 
126 CONSEQUENCES OF THE H.P. THEORY 
 
 weight of the replacing element. As the atomic weight increases, the 
 melting point of the clay may rise or fall. 
 
 2. Clays and aluminosilicates have varying A1 2 3 : SiO 2 ratios. 
 With any variation in the proportion of alumina or silica the melting 
 point of the clay must also rise or fall. 
 
 3. The melting points of isomeric aluminosilicic acids and of the 
 corresponding salts must differ from each other. 
 
 (See " Basis and Ring Isomerism," p. 63.) 
 
 The H.-P. Theory and the Facts 
 
 The available experimental evidence is not sufficient to prove 
 completely the foregoing consequences of the H.P. theory regarding the 
 relationship of the melting point and the chemical constitution of 
 clays. Such facts as are known, however, are confirmatory of the 
 theory. 
 
 Consequence 1 (p. 125) 
 
 It follows from the theory that the melting point of a clay must 
 depend on the nature of the elements which replace some of the H, 
 Si or Al in the theoretically pure kaolinic acid or clay. Opposed to this 
 theory is the law of Bischof and Richter 726 which states that " equiva- 
 lent amounts of fluxes have an equal influence on the melting point of 
 any clay in which they occur." 
 
 [In order to obtain a numerical expression of this law, Bischof re-calculated the 
 analyses of the clays he examined so as to show their molecular proportions, and 
 arranged these as a formula of the type 
 
 O aA! 2 O 3 6SiO 2 , 
 
 in which the amount of base is constant, the two variables being the silica and alumina. 
 Considering these variables alone, he suggested that the refractoriness of a clay might 
 be represented by a coefficient or quotient (FQ). According to Bischof : 
 
 a 2 
 Fire resistance Quotient (Bischof) FQg = ~r*] 
 
 According to this law, it follows that equivalent amounts of potash, 
 soda, ferric oxide, etc. should have an equal influence on the 
 melting point of clays containing them. The following compositions 
 of clays may be taken as an illustration : 
 
 0.5 K 2 0- 9.5 H 2 6A1 2 3 12 Si0 2 , 
 
 0.5 Na 2 O 9.5 H 8 6 A1 2 O 3 12 Si0 2 , 
 
 0.25 K 2 0.25 Na 2 9.5 H 2 6 A1 2 3 12 SiO 2 , 
 
 10 H 2 5.5 A1 2 3 0.5 Fe 2 3 12 Si0 2 , 
 
 10 H 2 5.5 A1 2 3 0.5 Mn 2 3 12 Si0 2 . 
 
 These contain the same amount of fluxes, viz. 0-5 molecules, and 
 should all have the same melting point. Actual determinations of the 
 melting points of these clays show that this is not the case. 
 
RELATION BETWEEN MELTING POINT & COMPOSITION 127 
 
 In direct opposition to Bischof and Richter's law are the extensive 
 studies of Jochum 728 on a series of fireclays in connection with Seger 
 Cones. The data obtained by Jochum are summarised in the following 
 Table : 
 
 No. 
 
 SiO a 
 
 Al,0 3 
 
 Fe a 3 
 
 CaO 
 
 MgO 
 
 K a o 
 
 Na,0 
 
 Total 
 Fluxes 
 
 Kefractorineas 
 in Seger Clones 
 
 1. 
 
 53.32 
 
 44.15 
 
 0.56 
 
 0.28 
 
 0.23 
 
 0.51 
 
 
 1.58 
 
 36 
 
 2. 
 
 52.24 
 
 43.43 
 
 0.87 
 
 
 
 0.32 
 
 0.35 
 
 
 
 1.54 
 
 35 
 
 3. 
 
 52.50 
 
 45.22 
 
 0.81 
 
 
 
 0.54 
 
 0.50 
 
 
 
 1.85 
 
 35 
 
 4. 
 
 52.74 
 
 45.81 
 
 1.00 
 
 0.15 
 
 0.05 
 
 0.54 
 
 
 
 1.74 
 
 36 
 
 5. 
 
 52.50 
 
 46.25 
 
 0.35 
 
 0.47 
 
 0.13 
 
 0.32 
 
 
 
 1.27 
 
 36 
 
 6. 
 
 52.33 
 
 45.81 
 
 1.30 
 
 
 
 
 
 1.43 
 
 
 
 2.73 
 
 35 
 
 7. 
 
 53.11 
 
 44.63 
 
 2.34 
 
 0.86 
 
 0.65 
 
 0.22 
 
 
 
 4.07 
 
 35-36 
 
 8. 
 
 52.74 
 
 46.00 
 
 1.07 
 
 
 
 0.23 
 
 0.24 
 
 
 
 1.54 
 
 35 
 
 
 
 
 
 
 
 
 TiO 2 
 
 
 
 9. 
 
 53.35 
 
 44.13 
 
 0.89 
 
 0.28 
 
 
 
 1.34 
 
 1.11 
 
 3.62 
 
 35 
 
 10. 
 
 53.35 
 
 43.35 
 
 0.83 
 
 0.24 
 
 
 
 1.43 
 
 
 
 2.50 
 
 35 
 
 11. 
 
 51.45 
 
 45.23 
 
 0.55 
 
 0.30 
 
 0.41 
 
 1.78 
 
 
 
 3.03 
 
 35 
 
 12. 
 
 51.57 
 
 45.70 
 
 1.31 
 
 0.86 
 
 
 
 0.77 
 
 
 
 2.94 
 
 35 
 
 13. 
 
 51.57 
 
 45.90 
 
 1.13 
 
 0.24 
 
 0.09 
 
 0.60 
 
 
 
 2.06 
 
 35 
 
 14. 
 
 51.90 
 
 46.10 
 
 1.14 
 
 0.24 
 
 0.09 
 
 0.60 
 
 
 
 2.07 
 
 35-36 
 
 15. 
 
 51.43 
 
 45.57 
 
 1.31 
 
 0.89 
 
 
 
 0.77 
 
 
 
 2.97 
 
 35 
 
 16. 
 
 55.00 
 
 40.60 
 
 2.86 
 
 
 1.30 Di 
 
 ff. 
 
 
 
 4.16 
 
 35 
 
 17. 
 
 57.00 
 
 37.00 
 
 3.66 
 
 0.57 
 
 
 
 1.77 
 
 
 
 6.00 
 
 35 
 
 18. 
 
 58.19 
 
 39.37 
 
 0.85 
 
 0.09 
 
 0.41 
 
 1.14 
 
 
 
 2.49 
 
 34 
 
 19. 
 
 52.34 
 
 40.11 
 
 2.54 
 
 0.25 
 
 0.91 
 
 3.87 
 
 
 
 7.57 
 
 33 
 
 20. 
 
 52.92 
 
 39.16 
 
 2.57 
 
 0.18 
 
 1.24 
 
 3.55 
 
 
 
 7.54 
 
 30 
 
 21. 
 
 52.48 
 
 39.16 
 
 2.55 
 
 0.18 
 
 1.23 
 
 3.52 
 
 
 
 7.48 
 
 32 
 
 22. 
 
 52.90 
 
 38.40 
 
 4.80 
 
 2.40 
 
 0.80 
 
 1.00 
 
 
 
 9.00 
 
 32 
 
 A glance at this Table will show the invalidity of Bischof and 
 Richter's law. This is particularly noticeable with respect to clays Nos. 
 6, 7, and 8. The total percentage of fluxes in No. 6 clay is 2-73, in 
 No. 7 clay 4-07 and in No. 8 clay 1-54, but the refractoriness of all three 
 clays is the same (cone 35). Indeed, the clay with the lowest pro- 
 portion of fluxes (No. 7) has, if anything, a higher degree of refractori- 
 ness than the other two. The figures in connection with clays No. 17 
 and 18 are even more striking. Clay No. 17 contains 6-00 of fluxes 
 whilst No. 18 contains only 2-49, yet the refractoriness of No. 17 is a 
 Seger cone higher than No. 18, i.e. cone 35 as compared with cone 34, 
 whereas, according to the Bischof -Richter law, No. 17 should be con- 
 siderably more fusible than No. 18. In the case of clays No. 19 and 21, 
 the composition is practically identical, but the refractoriness is 
 different. 
 
 [Seger 730 has pointed out that the Bischof-Richter law is only applicable to clays 
 containing a very small proportion of basic oxides, i.e. to the most highly refractory 
 clays, and that it is quite useless for second-grade fireclays and clays used for building 
 purposes. 
 
 Richter 730 found that the form in which the silica is present in a clay, i.e. whether 
 combined or in the free state, has a profound influence on the melting point. Hence, 
 as Seger has pointed out, the resistance of clay to heat does not depend on the com- 
 position of the material as a whole, but on the compounds present in it and on their 
 state of aggregation. This fact has been repeatedly confirmed and is well known to all 
 
128 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 manufacturers of refractory goods. Indeed, the remarkable variations in fireclay 
 deposits are a daily source of anxiety to those using them. For this reason, and because 
 he regarded the variety of minerals present in most clays as rendering abortive all 
 consideration of the melting point of any clay as a whole, Seger 730 insisted that it is 
 first necessary to free the clay as far as possible from sand, silt, and other impurities 
 by washing, and then to study the melting point of the purer product thus obtained. 
 He therefore applied Bischof's Quotient to that portion of the clay which is sufficiently 
 fine to be washed out by a current of water flowing at the rate of 0. 1 8 mm. per second 
 (i.e. on the nearest approach to " pure clay " obtainable on mechanical elutriation of 
 a commercial clay and termed by him " clay substance," but more accurately clayite 
 in the case of china clay by J. W. Mellor 708 , and pelinite in the case of plastic clays by 
 A. B. Searle 732 ). With this purified material Seger obtained results which agreed much 
 better with the actual fusion tests. As, however, serious discrepancies still existed 
 even among the higher-grade clays Seger eventually suggested the following formula 
 applied to the clayite or pelinite above mentioned, and not to the material as a whole : 
 
 Fire-resistance Quotient (Seger) FQ g = (a+b) 5. 
 
 This formula, though applicable to a larger number of clays than Bischof's, is, 
 like the latter, extremely limited in its application and is far from reliable, and Seger 
 
 30 
 25 
 -20 
 -ft 
 -ID 
 -05 
 
 \ 
 
 \ 
 
 \ 
 
 
 
 \ 
 
 * 
 
 s.c, 
 
 2 25 3 3-S 
 FIG. 1. Lud wig's Chart 
 
 4-5 5 55 6 
 
 himself found several fireclays and kaolins in regard to which it proved impossible to 
 obtain an agreement between his formula and the results of actual fusion tests. That Seger 
 recognised this is clearly shown in the following statements in his " Collected Papers " : 
 " Both Bischof's and my coefficients only give approximate figures, as the fusion of 
 clays involves several important physical factors which must inevitably be omitted 
 from any method of calculation." "It is unwise to attach much importance to any 
 coefficient, because it cannot include the variations in the size of the grains of clay, 
 this factor being quite as important as the composition of the material. Thus, silica 
 in an extremely finely divided state acts energetically as a flux, but coarser silica in- 
 creases the heat resistance of some clays to which it is added ! " Seger also laid great 
 stress on the irregularity of composition observed in clays, and declared them to be 
 " not homogeneous, but merely mixtures of various minerals of which the largest 
 proportion is * clay substance.' " " Hence, any figure which it is claimed represents the 
 melting point based on the composition of the material can only be rough approxima- 
 tions." 
 
 When Seger's quotient is applied to the analyses shown in the Table on page 127, 
 the results obtained are so conflicting that it is impossible to trace any direct con- 
 
RELATION BETWEEN MELTING POINT & COMPOSITION 129 
 
 nection between Seger's quotient and the Seger cone numbers in the last column of 
 the Table. It is, however, only fair to observe that the temperatures indicated by 
 these Seger cones are not the true melting points of the clays, but only the " softening 
 points," and Bischof has shown there is no simple law connecting the temperature at 
 which Seger cones bend with that at which they melt. 
 
 A method of calculation similar to those of Bischof and Seger, but differing in 
 the manner of its representation, is that of T. Ludwig 706 , who assumed that the fluxes 
 in a clay are in the form of a solid solution with the clay as a solvent, and arranged 
 the composition of a clay as a formula with alumina as unity thus : 
 
 x RO A1 2 O 3 y SiO 2 , 
 
 plotting x as ordinates and y as abscissae. Ludwig obtained a chart (Fig. 1) in which 
 the diagonal lines represent the limits of the Seger cones marked thereon, so that the 
 " melting point " of a clay is represented in terms of these cones. This chart is in 
 close agreement with the experimental observations of many fireclays and kaolins, 
 but is entirely unreliable for clays in which the total fluxing oxides exceed 6 per cent. 
 Ludwig attributed its failure to the heterogeneous nature of clays and to the irregular 
 distribution of the fluxes in them. 
 
 The relationship between the composition of clays and their melting point has 
 also been investigated by H. Seger 730 , who studied the melting point of mixtures of 
 silica and alumina and of silica and kaolin to which sufficient felspar was added to 
 keep the alkali-content of the various mixtures constant. 
 
 Seger found that mixtures of free silica and alumina behave in a manner similar 
 to mixtures of kaolin and pure quartz-sand, so far as the melting points are concerned. 
 In both cases the larger the proportion of silica the lower the melting point, until a 
 material is obtained with a molecular ratio of 1 A1 2 O 3 : 17 SiO 2 , after which the 
 addition of more silica increases the melting point until practically pure silica is 
 obtained. These results are summarised in the curve shown in Fig. 2 (see also 
 p. 132). 
 
 That some definite relationship does exist between the composition and the 
 softening point of clays is shown by the existence of a regular series of Seger cones. 
 These are composed of mixtures of pure kaolin with marble, felspar, and quartz in 
 atomic proportions, the whole being reduced to an exceedingly fine powder. Not- 
 withstanding the fact that the purest possible materials are used in the manufacture 
 of these cones, no definite general formula has been found for connecting the fusing 
 point of these cones with their composition. Seger laid special emphasis on the un- 
 desirability of attempting to correlate the Seger cones with definite temperatures. 
 " I permit the preparation of a scale of comparison between my cones and definite 
 temperatures," he wrote, " with the greatest unwillingness, more especially as I have 
 found no means of comparison for the highest cones." Seger's caution and modesty 
 are well known, so that it is interesting to note that later investigations have proved 
 that, with trifling exceptions, all the cones above No. 10 correspond very closely to 
 definite temperatures, provided that the rate and other conditions of heating are 
 favourable and constant, but that slight variations in the condition of heating cause 
 serious discrepancies in the behaviour of the cones. It should, however, be noted 
 that Seger's cones do not show the melting points of the mixtures composing them, 
 but only the resultant of the various forces which cause them to bend to a definite 
 extent. Whether there is any relationship capable of simpler expression numerically 
 between the bending temperatures of Seger cones and their true melting points remains 
 to be proved. Meanwhile, in view of the misuse of terms in the literature of the subject, 
 too much emphasis cannot be laid on the fact that Seger cones merely indicate the 
 softening points of the materials of which they are made. These softening points, 
 together with the molecular composition of the cones, are shown in the Table 
 on the next page. 
 
130 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 SEGER CONES AND TEMPERATURES 
 
 Estimated 
 Temperature C. 
 
 Cone No. 
 
 Molecular Composition 
 
 K,0 
 
 CaO 
 
 Al,0, 
 
 SiO, 
 
 1320 
 
 11 
 
 .25 
 
 .58 
 
 1 
 
 10 
 
 1350 
 
 12 
 
 .21 
 
 .50 
 
 1 
 
 10 
 
 1380 
 
 13 
 
 .19 
 
 .53 
 
 1 
 
 10 
 
 1410 
 
 14 
 
 .17 
 
 .39 
 
 1 
 
 10 
 
 1435 
 
 15 
 
 .14 
 
 .33 
 
 1 
 
 10 
 
 1460 
 
 16 
 
 .13 
 
 .29 
 
 1 
 
 10 
 
 1480 
 
 17 
 
 .11 
 
 .26 
 
 1 
 
 10 
 
 1500 
 
 18 
 
 .10 
 
 .23 
 
 
 10 
 
 1520 
 
 19 
 
 .09 
 
 .20 
 
 
 10 
 
 1530 
 
 20 
 
 .08 
 
 .18 
 
 
 10 
 
 p 
 
 21 
 
 .07 
 
 .15 
 
 
 10 
 
 
 22 
 
 .06 
 
 .14 
 
 
 10 
 
 *- 
 
 23 
 
 .06 
 
 .13 
 
 
 10 
 
 
 24 
 
 .05 
 
 .12 
 
 
 10 
 
 
 25 
 
 .04 
 
 .11 
 
 
 10 
 
 1580 
 
 26 
 
 .04 
 
 .10 
 
 
 10 
 
 1610 
 
 27 
 
 .02 
 
 .03 
 
 
 10 
 
 1630 
 
 28 
 
 
 
 
 
 
 10 
 
 * 
 
 28* 
 
 
 
 
 
 
 9 
 
 1650 
 
 29" 
 
 
 
 
 
 
 8 
 
 * 
 
 29* 
 
 
 
 
 
 
 7 
 
 1670 
 
 30" 
 
 
 
 
 
 
 6 
 
 1690 
 
 31 
 
 
 
 
 
 
 5 
 
 1710 
 
 32f 
 
 
 
 
 
 
 4 
 
 1730 
 
 33 
 
 
 
 
 
 
 3 
 
 1750 
 
 34 
 
 
 
 
 
 
 2.5 
 
 1770 
 
 35 
 
 
 
 
 
 
 2 
 
 1920 
 
 40 
 
 
 
 
 
 
 
 
 * These cones are not manufactured, as their Estimated Temperatures lie too close 
 to neighbouring cones, and are somewhat irregular, 
 t Pure silica behaves like cone 32. 
 
 It will be observed that there is a fairly regular difference in temperature between 
 consecutive cones, but this is not sufficiently constant for any simple law to be found 
 from a graph of the cone numbers and temperatures. 
 
 Simonis 706 has studied mixtures of kaolin, quartz, and felspar in connection with 
 Seger cones and found that the felspar acts as a constant and neutral flux. He also 
 concluded that the softening point of such a mixture might be represented numerically 
 by a " refractory index," using the symbols k for the percentage of kaolin, s for that 
 
 of quartz, and / for that of felspar. According to Simonis, if k is greater than f the 
 
 " refractory index " will be R = | / + 60. For bodies high in silica, in which 
 
 J 
 
 2g 
 o is greater than Tc, the " refractory index " is IT k f + 60. The value of this 
 
 " refractory index " in terms of Seger cones is given in the accompanying Table : 
 
 Refractory index . . 
 
 17.5 
 
 22.6 
 
 28 
 
 33.7 
 
 39.2 
 
 44.6 
 
 50 
 
 57.6 
 
 
 14 
 
 15 
 
 16 
 
 17 
 
 18 
 
 19 
 
 20 
 
 26 
 
 
 
 
 
 
 
 
 
 
 Refractory index . . 
 
 65 
 
 72 
 
 80 
 
 89 
 
 102 
 
 114 
 
 127 
 
 141 
 
 Seger cone 
 
 27 
 
 28 
 
 29 
 
 30 
 
 31 
 
 32 
 
 33 
 
 34 
 
 
 
 
 
 
 
 
 
 
RELATION BETWEEN MELTING POINT & COMPOSITION 131 
 
 It will be observed that there is no simple relationship between Simonis' Refractive 
 Index and the corresponding Seger Cones. 
 
 In short, the Bischof-Richter law, together with the various modi- 
 fications of it and the other attempts to correlate the melting points of 
 clays with their chemical constitution here noticed, which are not in 
 accordance with the H. P. theory, is shown by the above evidence to be 
 erroneous. Further investigations must show that, in accordance with 
 the H.P. theory, the true melting point of a clay (not the " softening 
 point ") is a periodic function of the atomic weight of the replacing 
 elements. 
 
 [That this relationship has not been f ound is, in part, due to the difficulties experi- 
 enced in melting the purer and therefore the most refractory clays, and also to the 
 very widespread belief that clays are heterogeneous mixtures and not true chemical 
 compounds. The general evidence in favour of the H.P. theory is, however, so strong 
 as to make this consequence of it highly probable, even though the experimental 
 evidence at present available in respect of melting points is of little or no assistance. 
 In due time the various germs of truth in Bischof's and other theories will emerge 
 from the obscurity in which they have so long lain, in consequence of the non-existence 
 of a correct theory as to the constitution of clays and allied substances.] 
 
 It is highly probable that the melting point will be lowered by the 
 substitution of elements of higher atomic weights. Such an effect has 
 been observed by G. Jantsch 729 in other complexes with the general 
 formula : 
 
 3Mo-X 2 3 -6N 2 5 -24H 2 0, 
 
 where Mo = MgO MnO NiO CeO ZnO, and 
 X 2 3 = La 2 3 Ce 2 O 3 - Pr 2 O 3 - Nd 2 3 - Sm 2 3 Gd 2 3 . 
 
 This is shown in the following Table : 
 
 
 Mg 
 
 Mn 
 
 Ni 
 
 Ce 
 
 Zn 
 
 La 
 
 113.5 
 
 87.2 
 
 110.5 
 
 101.8 
 
 98.0 
 
 Ce 
 
 111.5 
 
 83.7 
 
 108.5 
 
 98.5 
 
 92.8 
 
 Pr 
 
 111.2 
 
 81.0 
 
 108.0 
 
 97.0 
 
 91.5 
 
 Nd 
 
 109.0 
 
 77.0 
 
 105.6 
 
 95.5 
 
 88.5 
 
 Sm 
 
 96.2 
 
 70.2 
 
 92.2 
 
 83.2 
 
 76.5 
 
 Gd 
 
 77.5 
 
 
 
 72.5 
 
 63.2 
 
 56.5 
 
 The divalent manganese appears to behave in an exceptional 
 manner which cannot, at present, be explained. 
 
 Consequence 2 (see p. 126) 
 
 The melting point of silicates containing no alumina increases with 
 the silica-content. Thus, bisilicates fuse at a higher temperature than 
 monosilicates, and trisilicates are more difficult to fuse than bisilicates. 
 
 In most cases, the physical properties of complex substances differ 
 from those of their constituents. This is also the case with alumino- 
 silicates in which, according to the researches of C. Bischof, a lower 
 fusing point accompanies a higher silica-content, the aluminosilicates 
 which are rich in silica being more fusible than those relatively poor in 
 silica. 
 
132 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 A glance at Fig. 2, which shows the results obtained by Seger 730 
 on mixtures of pure silica and alumina (see p. 129) shows : 
 
 1. An increase in the proportion of silica is accompanied by an 
 increased fusibility. 
 
 2. The melting point, or more strictly the softening point, di- 
 minishes with an increase in the proportion of silica until the mixture 
 with a ratio A1 2 3 : SiO 2 = l : 15 is reached, after which there is a 
 change in the direction of the curve until a ratio 1 : 17 is reached, after 
 which an increase in the proportion of silica is accompanied by an 
 increase in the melting point. 
 
 u red/2 Os 
 
 I 23456 7 8 9 10 II 12 13 /4 15 IB 17 IB 13 20 21 22 23 24 25 
 
 Mols.SiOz. 
 
 FIG. 2. Relation of Softening Point to Composition (Seger) 
 
 The flattening in the curve indicates the formation of a compound, 
 and as glasses are known with a ratio of A1 2 O 3 : SiO 2 = 2 : 36, the curve 
 appears to indicate the existence of a secondary type of such a glass. 
 The compound A1 2 O 3 , 17 Si0 2 would then have a high molecular weight 
 and the following structural formula : 
 
 Si | Si | Si | 
 \/ \/ 
 
 A1 2 A1 2 
 
 A A 
 
 | Si | Si | Si 
 \/\/\/ 
 
 Consequence 3 (see p. 126) 
 
 No experimental evidence is available for proving the correctness or 
 otherwise of this consequence of the H.P. theory, but further investiga- 
 
THE CAUSE OF PLASTICITY 133 
 
 tions of clays and aluminosilicates will, in all probability, lead to the 
 definite confirmation of this theory. 
 
 In connection with the foregoing observations the behaviour of the 
 so-called mineralisers 1 may be mentioned. The ones most generally 
 used are the chlorides of calcium, magnesium, manganese, aluminium, 
 and silicon, the fluorides of calcium, sodium, potassium, magnesium 
 and silicon, the tungstates of potassium and lithium, the borates of mag- 
 nesium, calcium and sodium, the phosphates of potassium, magnesium, 
 etc. These mineralisers appear, in many cases, to form sodalitic com- 
 pounds with silicates (see Socialites p. 59) and, on adding a mineraliser 
 to a compound or mixture, the melting point of the substance is con- 
 siderably reduced. 
 
 Mineralisers play an important part in the synthesis of various 
 minerals and without them some minerals cannot be produced. 
 
 The Cause of Plasticity in Clay 
 
 Before concluding this chapter, a few words may be added on the 
 plasticity of clay. 
 
 The authors agree with Seger 221 in terming those substances plastic 
 which possess the power of absorbing and retaining fluids in their pores 
 in such a manner that the mass may be given any desired shape by 
 kneading or pressure, this shape being retained after the pressure has 
 been removed. It is a further condition that if the fluid is removed, 
 the substance shall retain its shape unchanged. 
 
 A number of theories 221 * have been formulated to explain the 
 causes of the plasticity of clays.* The authors of the present volume 
 consider those theories are the most probable which assign the chief 
 cause of plasticity to the " water of constitution " in clays. 
 
 From this it follows that : 
 
 A. The more OH-groups a clay contains in the form of " water of 
 constitution," the more plastic must it be. 
 
 B. By separation of the OH-groups on an increase in temperature 
 of the clay, or by the replacement of hydrogen by a base, the plasticity 
 must be reduced or completely destroyed. 
 
 These consequences of the theory are fully confirmed by facts. 
 
 Thus, Seger 221 found that if a cream or slip made of clay and water 
 is allowed to settle and the clear water decanted, the pasty sediment will 
 be so stiff that it can bear the weight of a glass rod without the latter 
 sinking into it. If, however, to the water used for making the slip 
 a few drops of caustic soda, sodium carbonate solution or water-glass 
 are added, so that the water is rendered feebly alkaline, a remarkable 
 change occurs. The slip becomes considerably thinner and more fluid, 
 
 * The chief of these are summarised in " British Clays, Shales, and Sands." 706 
 
134 CONSEQUENCES OF THE H.P. THEORY 
 
 part of the material settles immediately to the bottom as a solid 
 substance and the supernatant liquid requires a very long time before 
 it becomes clear. If, now, a few drops of acid are added to the mass, 
 it becomes so stiff that the vessel in which it is contained may be 
 inverted without spilling the contents. On drying to a definite volume, 
 the acidulated mass will be found to be much more plastic than the 
 original clay and the alkaline mass will have lost almost all its plas- 
 ticity. It is highly probable that in Seger's experiment, the prolonged 
 action of water or acids on the clay had effected a partial separation of 
 the alkalies it contained, whereby an increase in plasticity resulted, 
 due to the cause indicated in Conclusion A above 2213 . 
 
 By the action of alkali, a partial substitution of H by the alkali may 
 also occur and, as indicated in Conclusion B, this is the reason the 
 plasticity is reduced. 
 
 E. v. Sommaruga 222 has shown, by analysis, that aluminosilicates of 
 the alkalies and alkaline earths lose part of their base on washing. 
 
 In agreement with Conclusion B, there is the further fact that clays 
 lose their plasticity at high temperatures, at which the water of con- 
 stitution is also driven off. 
 
 The fact that some hydrous-aluminosilicates, such as the zeolites, 
 are non-plastic is not in opposition to the above theory as to the 
 cause of plasticity, as the introduction of a definite proportion of base 
 so as to form a salt and zeolites are true salts completely destroys 
 the plasticity. 
 
 [The term plasticity, as ordinarily used, includes so many other properties that 
 the interpretation of experimental results is extremely difficult. Moreover, no generally 
 accepted method of measuring plasticity has yet been devised, all those now in use 
 being open to several objections, the chief of which is that they measure some property 
 closely allied to plasticity such as tensile strength, adhesion, viscosity, binding power, 
 etc., but not the plasticity itself. 
 
 Again, Drs. W. and D. Asch make no mention of the close connection between 
 the colloidal material present and the plasticity of clays, nor do they explain how it 
 is that quartz, calcium fluoride and a number of other substances of widely different 
 constitution and composition have been found by Flett, Atterberg and others to be 
 plastic when in a sufficiently finely divided state. 
 
 If it is really a fact that extremely finely divided silica which is free from con- 
 stitutional water can become truly plastic, the hexite-pentite theory will require 
 modification. In the present state of knowledge it is, however, extremely difficult to 
 decide whether the substances just mentioned do become truly plastic or whether 
 they merely become more cohesive. 
 
 Several investigations, including those by Rieke 707 , have shown that the loss of 
 plasticity when a clay is heated is not proportional to the loss of " water of constitu- 
 tion." A certain amount of plasticity remains, even when all the water has been re- 
 moved from the clay, provided that the removal has been effected at a low tempera- 
 ture. For this reason Rieke and others have concluded that the loss of plasticity 
 on heating is due to the physical rather than to the chemical nature of the clay. An 
 equally correct conclusion and one which is, moreover, in conformity with the hexite- 
 pentite theory, is that the loss of " water of constitution " is accompanied by poly- 
 merisation phenomena which materially reduces the plasticity and necessarily involves 
 a lack of proportionality between the loss of water and of plasticity when the clay is 
 heated, especially as, under such conditions, the plasticity is lost at a greater rate 
 than the "water of constitution." 
 
 The reader interested in this subject will find further details in the translator's 
 " British Clays, Shales, and Sands," in which the conclusion is reached that the plasticity 
 is partly due to the extreme smallness of the clay particles, partly to the shape, texture, 
 and physical nature of these particles, and only slightly to their chemical composition. 
 
THE COLOUR OF BURNED CLAY 135 
 
 Considering the great stability of the clay molecule, it certainly appears to be quite 
 as likely that the action of a few drops of acid or alkali on a considerable weight of clay 
 may be due to the colloidal material in clay as to any change in the chemical com- 
 position of the clay molecule of the nature suggested above. Moreover, it is difficult 
 to understand why china clays and kaolins should be so slightly plastic compared to 
 ball clays yielding such remarkably similar results on analysis, unless plasticity origin- 
 ates largely in the physical, rather than in the chemical nature of clay. This may, 
 of course, be due to somewhat different chemical structure (isomerism or polymerism) 
 and the hexite-pentite theory is a priori in favour of such an explanation as accounting 
 for the physical differences. 
 
 The whole subject of plasticity is, however, so complex, that no definite theory as 
 to its cause has yet been found which will satisfy the whole of the facts. Under these 
 circumstances, the theory suggested by Drs. W. and D. Asch takes its place amongst 
 the numerous other serious attempts to ascertain the cause of this very elusive property 
 of clays. In the opinion of the translator, however, the present application of the 
 hexite-pentite theory to plasticity is attempting too much. The hexite-pentite theory 
 is so valuable in its relation to the chemical composition of clays that it would be a 
 pity to prejudice its acceptance by prematurely extending its application. When 
 more is known of the nature of plasticity, it is not improbable that the value of this 
 theory, in regard to plasticity, may be much greater than now appears to be the case. 
 
 The Colour of Bricks and other Articles of Burned Clay 
 
 The red colour of building bricks is usually attributed to the presence of free 
 ferric oxide in the burned clay ; that of Staffordshire " blue " bricks and clinkers is 
 generally considered to be due to the production of a ferrous silicate by the reducing 
 action of the kiln gases on the ferric oxide in the burned clay. 
 
 It is, however, a curious fact that the best red bricks cannot be made by adding 
 ferric oxide to a clay, though the use of this substance does produce a low grade of red 
 brick with a very irregular colour. Moreover, ordinary " red oxide of iron " dissolves 
 readily in hydrochloric acid, but the colour of a finely-ground red brick is not removed 
 by cold acid, nor can such a powder be completely bleached even by boiling with 
 hydrochloric acid for several hours. Again, the clay used for blue Staffordshire bricks 
 produces goods of a bright red colour if burned in an oxidising atmosphere, the blue 
 colour being only formed when reducing gases are present. If the temperature of the 
 kiln has not been excessive, and the atmosphere is made strongly oxidising, the blue 
 colour is replaced by a bright red one, this transformation of blue and red and vice 
 versa being capable of being repeated indefinitely as long as the temperature is care- 
 fully regulated. 
 
 The generally accepted opinion that a simple ferrous silicate is the cause of the 
 " blue " colour is not borne out by synthetic ferrous silicates, the colours of the latter 
 being quite different. 
 
 These facts all point to the colour of bricks being due to an aluminosilicic anhy- 
 dride containing iron in such a form that it can be readily converted from the ferric 
 to the ferrous state and vice versa. The structure of silicates in which the colour is 
 due to a chromophore group containing a metallic oxide is described in greater detail 
 in a later section on " Coloured Glasses," in which the state of combination of the metal 
 is explained by the aid of the H.P. theory. 
 
 Seger 730 and others have exhaustively investigated the relationship between 
 the iron contents of numerous clays and the colours of the bricks obtained therefrom, 
 but have not been able to find any definite correlation between the two. In many 
 instances clays which contain 5 per cent, or more of iron calculated as ferric oxide, 
 burn to a pale buff or primrose tint, whilst other clays with only 3 per cent, of iron oxide 
 produce bricks of a strong dark red colour. The lower-grade fireclays and other buff- 
 burning clays do not contain less iron than red-burning clays, but they must contain 
 it in a different form. There is evidence in support of the view that in buff-burning 
 clays the iron is chiefly in the form of pyrites, whilst in red -burning clays it is in the 
 form of a ferrosilicic or ferro-alumino-silicic acid, analogous to clay in which one or 
 more of the hydrogen atoms have been replaced by an atom of iron. Seger also found 
 that clays rich in alumina as well as iron, usually burn to a buff rather than to a red 
 tint. 
 
 It is interesting to note, in this connection, that if a red-burning clay is washed 
 with dilute hydrochloric acid a large part of the colouring matter will be removed, 
 and if the clay is then dried and burned it will be of a yellowish red colour. No treat- 
 
136 CONSEQUENCES OF THE H.P. THEORY 
 
 ment with acid has yet been found, however, which will remove all the iron without 
 destroying the clay. 
 
 If buff-burning clays are brought into momentary contact with flame in the kiln 
 a reddish tint will form on their surface, as though a portion of the combined iron were 
 set free as ferric oxide. No satisfactory explanation of this phenomena has yet been 
 published, as the amount of red substance formed is too small for analysis ; the pro- 
 duction of such " flame-flashed " goods is, however, well known to all makers of fire- 
 bricks. 
 
 If chalk is mixed with a red-burning clay, the bricks produced at temperatures 
 below about 800 C. are red, but above this temperature the chalk reacts with the iron 
 compound and the bricks are quite white and might be supposed to be quite free from 
 iron. The nature of this white compound of lime, iron and clay has never been ascer- 
 tained, but in the light of the H.P. theory it would appear as if the lime had destroyed 
 the chromophore group forming a new ferruginous silicate and so had deprived the 
 iron of its colouring power. 
 
 The whole subject of the colour of burned clays is of great technical importance, 
 but hitherto it has been subject to so many assumptions which have passed as explana- 
 tions that very little scientific investigation has been made. Clay workers have been 
 content to accept the assumption that the red colour of certain bricks is due to the free 
 ferric oxide in the clay without troubling to ascertain how it is that 5 per cent, of 
 iron oxide is without effect on the colour of the raw clay and yet produces such an 
 intense colour when the clay is burned. That some change must occur in the combina- 
 tion of the iron is obvious and the view published some years ago by the translator of 
 the present work, that a large proportion of the iron occurs in the form of ferrosilicic 
 acid (?nontronite, H 4 Fe 2 Si 2 O 9 ) which, on heating, is decomposed into water, silica and 
 free ferric oxide, certainly agrees with a number of the important properties of red- 
 burning clays. Whether the iron is in the form of a ferrosilicic acid or of a substituted 
 group in an aluminosilicic acid it is, at present, almost impossible to determine ex- 
 perimentally.] 
 
 XII 
 
 The Ultramarines 
 
 Historical Review 
 
 Since 1828, many fruitless attempts have been made to ascertain 
 the true cause of the colour of the ultramarines. Those investigators 
 who consider ultramarine to be simply a " mixture " or a " solid 
 solution " have, naturally, endeavoured to find a " colouring principle," 
 the nature of which varies according to the various authors. Thus, 
 according to Gmelin 246 and Breunlin 246 , the " colouring principle " of 
 ultramarine is sulphur ; Eisner 247 , Kressler 248 , Guyton Morveau 249 , 
 Priikner 250 , and Varrentrapp 251 consider it to be iron sulphide, but 
 Brunner 252 has contradicted this by producing a blue from materials 
 quite free from iron, which colour is in every respect equal to that 
 produced from ferruginous clays. According to Unger 253 , the blue 
 colour of ultramarine is due to nitrogen compounds, but Biichner 254 
 has disproved this by showing that " ultramarine " contains no nitro- 
 gen. Stein 255 has suggested that ammonium sulphide, mixed with the 
 ground mass in a state of " molecular fineness," is the colouring matter 
 of "ultramarine," and Rohland 256 has stated that "ultramarine" 
 contains a " colour-carrying substance," or chromophore, whose 
 composition he has not published. 
 
 On the contrary, those investigators who consider the ultramarines 
 to be definite chemical compounds seek for the source of the colour in 
 
HISTORICAL REVIEW OF ULTRAMARINES 137 
 
 the arrangement of the smallest particles of this compound, i.e. they 
 regard the colour of ultramarine either as a constitutional property or 
 seek its origin in definite atomic complexes which form definite 
 chemical compounds with the essential constituent (silicate) of the 
 ultramarines. Among others in the first class is included Hitter 257 , who 
 considers that " there can be no question of a colouring principle, as the 
 whole of the ultramarine forms a chemical compound because, as 
 previously shown, one form of such substances may be colourless, yet 
 may, under certain conditions, be converted into a coloured compound 
 without the introduction of any new substance a comparatively clear 
 indication that here, as everywhere, the colour is due to the arrange- 
 ment of the " smallest particles." 
 
 R. Hoffmann 258 is one of those who consider that the cause of the 
 colour is to be found in definite radicles contained in the ultramarine. 
 He has referred frankly and clearly to sulphonates which can add or 
 lose sodium, oxygen, and sulphur, forming various colours. 259 " These 
 changes occur in a similar manner to those in the side chains of organic 
 compounds ; addition, substitution, and subtraction changes may 
 occur without destroying the combination with the silicate molecule." 
 
 It is clear that Hoffmann's conception of the constitution of 
 ultramarine is the one which most closely resembles that of the authors 
 of the present volume. 
 
 In this connection, the following extracts from Hoffmann's inter- 
 esting work on ultramarine are of value : 26 " for the present it is 
 sufficient to state that the formation of green and blue ultramarines 
 and their behaviour towards various reagents confirm the view that the 
 sodium added in the form of oxide must be more firmly united to the 
 elements of the kaolin than is the sulphide, and that it alone takes part 
 in the further conversion of white into blue and green ultramarine. 
 Consequently, it is possible to distinguish a silicate side from a sulphide 
 side in the ultramarine molecule without in any way disturbing the 
 combination of the elements as a whole." 
 
 Hoffmann 261 was also the first to claim the chemical individuality of 
 ultramarine and to confirm this by means of microscopical investiga- 
 tion. 262 He was also the first to show that it is not correct to speak 
 of one ultramarine, but rather of ultramarine compounds ; he en- 
 deavoured to classify these into those " rich in silica " and those 
 " poor in silica." 
 
 The view that there are several ultramarines and that some, at least, 
 of these are chemical compounds, has been independently adopted by 
 Phillipp 263 , Szilasi 264 , Heumann 266 , Guckelberger 266 , etc. At the same 
 time, it should be noted that Hoffmann has doubted the chemical 
 individuality of several ultramarines, including " ultramarine green." 
 
 " Ultramarine green " is generally understood not to have the 
 properties of a chemical compound. 267 It is considered to be either a 
 mixture of ultramarine blue and a yellow substance or as ultramarine 
 blue to which sodium sulphide, etc. has adhered. 
 
138 CONSEQUENCES OF THE H.P. THEORY 
 
 For this reason Guckelberger 268 examined " ultramarine green " 
 microscopically and found it to be a perfectly uniform, transparent, 
 sea-green substance. No traces of blue particles or of those inter- 
 mediate between green and blue were discernible. Hence, Guckelberger 
 concluded that " ultramarine green " is a single chemical compound. 
 
 It is surprising to find that, as early as 1878, B. Hoffmann 269 
 expressed an opinion on the nature of the bond of the sulphur-group in 
 the ultramarines which is very similar to that of the authors of the 
 present volume. He also expressed the belief that part of the oxygen 
 in the silicate molecule is replaceable by sulphur. " The existence of a 
 sodium silico-aluminate in which that part of the oxygen which is in 
 closer combination with sodium can be replaced by sulphur such 
 silico-sulphonates behaving like free sodium monosulphonate (from 
 which higher sulphonates may be produced by combination with 
 sulphur and loss of sodium, without the silicosulphonate being decom- 
 posed) would be sufficient to explain the formation of ultramarine by 
 the ordinary method of preparation and also its chemical behaviour 
 towards other substances." 
 
 R. Hoffmann 734 endeavoured to find satisfactory structural 
 formulae for white ultramarine, siliceous blue ultramarine, etc., and 
 for this purpose made use of the silicate formulae proposed by K. 
 Haushofer 736 to obtain the following : 
 
 Na O Al > Si S Na 
 
 Na Al Si Na 
 
 White ultramarine. 
 
 Al < Si S S Na 
 
 Si 
 
 O 
 
 O A] 
 
 Na O Al 
 
 Si 
 
 /0\ ' 
 
 Si O 
 
 O 
 
 0_Al<0\s! 
 
 Siliceous blue ultramarine. 
 
 S Na 
 
 Hoffmann admitted, however, that these formulae were more 
 fantastic than probable. 
 
THE CONSTITUTION OF ULTRAMARINES 139 
 
 A New Ultramarine Theory 
 
 The formulation of the authors' new hexite-pentite theory of the 
 constitution of the silicates, and the existence of an extensive literature 
 of ultramarine, naturally suggest the application of the theory to the 
 ultramarine compounds. The absence of a general theory of the 
 composition of the silicates appears to be the chief reason why the key to 
 the chemical constitution of the ultramarines has not yet been obtained, 
 in spite of the innumerable experiments which have been made. 
 
 For example, the following hydro -aluminosilicate : 
 
 1111 
 
 till 
 H 12 H 4 (Si Al - Al S A i), 
 contains two kinds of OH-groups : 
 
 1. Aluminium hexite hydroxyl (or a-hydroxyl). 
 
 2. Silicon hexite hydroxyl (or s-hydroxyl). 
 
 The four a-hydroxyls must obviously behave differently from the 
 twelve 5-hydroxyls. As a matter of fact, the hydrogen in the a- 
 hydroxyls is readily replaced by monovalent acid radicles such as N0 2 
 Cr0 2 OH, S0 2 OH, etc. The hydrogen of the s-hydroxyls is, on 
 the contrary, more easily replaced by basic groups. 
 
 In the hexite-pentite theory of ultramarines, the a-hydroxyls 
 play a special part. The substitution of acid radicles for hydrogen in 
 the a-hydroxyls is specially noticeable as a characteristic property of 
 
 the compound Na 8 H 4 (Si Al Al Si) first observed by Silber for which 
 no explanation has, hitherto, been obtainable. 
 
 On heating a mixture of kaolin with an excess of soda, to redness, 
 and washing the calcined product with water, Silber obtained the com- 
 pound : 
 
 (Si 2 Al 2 Na 2 8 ) 6 = Na 12 (Si Al Al Si). 
 
 If this substance is treated with dry hydrochloric acid gas at 150, 
 one-third of the sodium separates out as sodium chloride and there 
 
 remains the compound : 
 
 Na H H Na 
 
 I I I I 
 Na /\/\/\/\_ N a 
 
 Si Al Al Si 
 
 I i I 
 Na H H 
 
 This compound, contrary to the original substance, possesses the 
 remarkable property of not replacing its sodium by silver when treated 
 with a solution of silver nitrate. Instead of replacing the sodium, the 
 silver is precipitated as oxide. 
 
 Silber 223 gives this substance the formula Si 6 Al 6 Na 4 23 , but he has 
 
140 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 undoubtedly overlooked the presence of hydrogen in it. The separation 
 of Na by the action of HC1 can only occur when the Na is replaced by 
 H, for a temperature of 150 is much too low for OH-groups to 
 separate in the form of water. 
 
 On the assumption that in the a-hydroxyls the hydrogen can be 
 
 replaced by acid radicles, the behaviour of the compound Na 8 H 4 (Si- 
 
 Al Al Si) with AgNO 3 may readily be explained. By loss of Ag 2 
 and H 2 the compound : 
 
 N0 2 N0 2 
 
 I I 
 O O 
 
 I I I 
 
 N0 2 N0 2 
 is formed. 
 
 If this view is correct, a maximum of four atoms of silver can be 
 separated for each twelve atoms of silicon. The correctness of this 
 consequence of the theory must be proved experimentally. 
 
 The above theory permits the prediction that the hydrogen in the 
 a-hydroxyls may be substituted by the most varied monovalent 
 inorganic or organic acid radicles, and that in all compounds of the 
 
 Si Al Al Si type, only four of these acid radicles can be taken up. 
 
 The aluminosilicates in which the hydrogen of the a-hydroxyls can 
 be substituted by monovalent acids or acid radicles may conveniently 
 be represented by the terms A -aluminosilicates or 2-aluminosilicates. 
 
 The mode of formation of the .4 -aluminosilicates may be 
 made clear by means of a few examples. The production of these 
 compounds may be explained as due to splitting off the elements 
 
 /OH 
 of water. Thus, from 2 or 4 mols. S0 2 <f QTJ and the hydrate 
 
 H 12 H 4 (Si Al Al Si), the following A -aluminosilicates will be pro- 
 duced : 
 
 HO 
 
 
 |OH| |OHJ 
 
 Oll|o[HJ 
 
 I I I I 
 
so/ 
 
 THE SULPHONATE GROUPS IN ULTRAMARINES 141 
 
 f\~LT TTC\ 
 
 \or\ 
 i ,-=rr/ b 2 0!Hl lOHl 
 
 O 
 
 S0 2 /\S0 2 
 
 i i 
 
 I I I 
 
 _) __) 
 
 0|H] 0|H| 
 
 so 
 
 S0 2 S0 2 
 
 c. 
 
 S0 2 \/S0 2 
 
 o 
 
 D. 
 
 The compounds A, B, C, D are acids or acid anhydrides. 
 
 The hydrogen atoms of the sulpho-groups in A and C and the s- 
 hydroxyl groups may be partially or completely replaced by a base, 
 whereby acid or normal salts will be produced. 
 
 In ultramarines, the group 
 
 
 
 so,- 
 
 
 
 = S 2 7 
 
 (a) 
 
 plays a special role. This atomic complex has the power, under certain 
 conditions, to split off oxygen atoms and to take them up again, or to 
 replace them partially or completely by sulphur atoms. Thus, there 
 may be formed from S 2 7 the following : 
 
 Sulphonates 
 
 
 
 
 
 o 
 
 
 s 
 
 S0 2 -S0 2 
 
 so/Nso 
 
 so so 
 
 s/\s 
 
 s s 
 
 SS/\SS 2 
 
 O 
 
 O 
 
 A 6 
 
 1 1 
 O 
 
 a A 
 
 o o 
 
 1 1 
 
 1 1 
 
 1 1 
 
 1 1 
 
 1 1 
 
 1 1 
 
 S 2 6 
 
 S 2 5 
 
 S 2 4 
 
 S 2 3 
 
 S 2 2 
 
 S 7 2 
 
 (b) 
 
 (c) 
 
 (d) 
 
 (e) 
 
 w 
 
 (g) 
 
 
 
 o 
 
 s 
 
 *- 
 
 s 
 
 
 ss/^ss, 
 
 ss,/\ss, 
 
 SS 2 /\SS 2 
 
 SS 2 -S 
 
 5 2 S/^ 
 
 V S 2 S 2 S 2 
 
 d A 
 
 4 b 
 
 1 1 
 
 s s 
 
 s s 
 
 g 
 
 Q QJ Q 
 
 bob 
 
 1 1 
 
 1 1 
 
 1 1 
 
 1 1 
 
 1 
 
 1 1 1 
 
 S 6 3 
 
 s ? o 
 
 S 9 
 
 S 8 
 
 S 7 
 
 S 6 
 
 So 
 
 
 (k) 
 
 (1) 
 
 (m) 
 
 (n) 
 
 
 
 etc. etc. 
 
 
 
 
142 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 The sulphonates are very labile radicles and can be converted into 
 one another, under certain conditions, by the loss or addition of oxygen 
 or sulphur atoms or by the substitution of atoms of oxygen for those of 
 sulphur and vice versd. The atomic complexes a, 6, c, d, e, etc. are 
 anhydrosulphonates, but they may also enter the above ^4-alumino- 
 silicates A and C as hydro-compounds. 
 
 The Sulphonates as Chromophores 
 
 The study of the A- and 2-aluminosilicates containing sulphonate 
 groups has shown that these substances may be regarded as chromo- 
 phores in the sense in which this term is used in Witt's theory.* 
 
 The introduction of a sulphonate group in this way into a hydro- 
 aluminosilicate is not sufficient to form a coloured body. There must 
 also be one part of the hydrogen of the s-hydroxyls or the total 
 hydrogen of the A- or 2-hydro-aluminosilicates replaced by 
 mono- or divalent basic atoms. Such colour-stuffs may be termed 
 " ultramarines." 
 
 Ultramarines are, therefore, in terms of the hexite theory, such 
 compounds as : 
 
 ONa ONa 
 
 etc. etc. 
 
 Following the suggestion of M. Schiitz 224 it is convenient to regard 
 the change from yellow to orange, red, bluish violet, violet, blue, blue- 
 green and green as a deepening of the colour ; the reverse change from 
 blue-green to blue, etc. as a lightening of the colour. 
 
 R. Nietzki 225 has formulated a law representing the relation 
 
 * Witt's theory is described in further detail in a later chapter on the chemical 
 constitution of coloured glasses, p. 246. 
 
THE SULPHONATE GROUPS IN ULTRAMARINES 143 
 
 between the change of shade in a pigment and its composition. Accord- 
 ing to this, the pigments of the simplest constitution are yellow ; with 
 increasing molecular weight the yellow colour changes into red, violet 
 and blue. Later researches by Kriiss and S. Oeconomides 226 , H. W. 
 Vogel 227 , and E. Koch 228 have shown that Nietzki's law is of general 
 application, but that there are certain exceptions to it in which an 
 increase in the molecular weight accompanies a lightening instead of a 
 darkening of the colour. 
 
 With increasing molecular weight, the sulphonate group can 
 produce either a deepening or a lightening of the colour. 
 
 As it is not sufficient merely to have a sulphonate chromophore in 
 order to form a hydro-aluminosilicate pigment, and the introduction 
 of a base into an acid is necessary, it is clear that the nature of the 
 base must exercise an important influence on the shade. An increased 
 molecular weight may thus cause either a lightening or darkening of 
 the colour. In all probability, the molecular weight of the original 
 substance of the pigment (i.e. the aluminosilicate itself) is also of 
 importance in connection with the shade of colour produced. 
 
 Enough has been said to enable the various facts relating to ultra- 
 marines to be explained in a simple manner. Apart from this, however, 
 the theory shows the manner in which further investigations both 
 practical and academic may most usefully be carried out in connec- 
 tion with these highly important pigments. 
 
 The Hexite Theory of Ultramarines and the Facts 
 
 From the ultramarine theory developed above, a series of Conse- 
 quences result. It is important to see how these agree with the facts. 
 
 A 
 
 Theoretically, the composition of the ultramarines may be pre- 
 dicted. It is, in fact, highly interesting to calculate the formulae of a 
 large number of analyses in order to see how far they confirm the 
 Consequences of this theory. 
 
 Most analyses of ultramarine have not been calculated into formulae, 
 and those which have been given often show wide differences between the 
 calculated and ascertained values. This is considered, by most chemists, 
 as being less due to errors in calculating the formulae than to impurities 
 in the material. 
 
 The calculation of these formulae showed that ultramarines of the 
 following types have already been prepared (see Appendix) : 
 
 1. Si Al Al Si, 
 
 2. Si-Al-sVAl-Si, 
 
 3. Si Al . Si Al T, 
 
 4. Si-Al-Si, 
 
 5. Si Al Si. 
 
144 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 From type 1, for example, ultramarines of the following types have 
 been produced : 
 
 O 
 
 SO SO 
 
 Si 
 
 Al 
 
 Al 
 
 Si 
 
 \ 
 i 
 
 /\/' 
 
 (a) R m (Si 12 Al 12 O n )(S 2 7 ) 2 . 
 
 I I 
 SO SO 
 
 \/ 
 
 O 
 
 (b) R m (Si 12 Al 12 O n )(S 2 5 ) 2 . 
 
 s 
 
 (c) R m (Si 12 Al 12 O n )(S 2 2 ), 
 
 (d) R m (Si 12 Al 12 O n )(S 2 0) 2 . 
 
 (e) R m (Si 12 Al 12 O n )(S 2 ) 2 . 
 
 Summary of Ultramarines obtained, arranged according to the foregoing 
 
 Types 
 
 (a) R m (Si 12 Al 12 O n )(S 2 7 ) 2 . 
 
 1. Na 12 (Si 12 Al 12 46 ) S 4 14 . 
 
 (b) R m (Si 12 Al 12 O n ) S 4 10 . 
 
 2. Na n . 5 K . 5 (Si 12 Al 12 46 ) S 4 O 10 ONa 2 , 
 
 3. Ag 16 (Si 12 Al 12 48 ) S 4 10 ONa 2 (H 2 0) 4 , 
 
 4. Pb 8 (Si 12 Al 12 48 ) S 4 10 ONa 2 (H 2 0) 8 , 
 
 5. Zn 8 (Si 12 Al 12 48 ) S 4 10 ONa 2 (H 2 0) 16 , 
 
THE CONSTITUTION OF THE ULTRAMARINES 145 
 
 6. Ag 12 (Si 12 Al 12 46 ) S 5 9 OAgNa, 
 
 7. Ag 15 Na(Si 12 Al 12 48 ) S 5 O 9 , 
 
 8. Na 12 (Si 12 Al 12 46 ) S 6 8 . 
 
 (c) B m (Si 12 Al 12 O n ) S 4 4 . 
 
 9. Na 16 (Si 12 Al 12 48 ) S 4 4 (H 2 0) 2 , 
 10. Na 12 (Si 12 Al 12 46 ) S 5 3 ONa 2 . 
 
 (d) R m (Si 12 Al 12 O n ) - S 4 2 . 
 
 11. Na 12 (Si 12 Al 12 O 46 ) S 4 2 , 
 
 12. Na 12 (Si 12 Al 12 46 ) S 4 2 Na 2 , 
 
 13. Na 12 (Si 12 Al 12 46 ) S 4 2 Na 4 , 
 
 14. Na 12 (Si 12 Al 12 46 ) S 4 2 Ag 4 , 
 
 15. Na 6 Ag 6 (Si 12 Al 12 46 ) - S 4 2 Ag 4 . 
 
 (e) R m (Si 12 Al 12 O n ) S 4 . 
 
 16. Na n . 5 K . 5 (Si 12 Al 12 46 ) S 4 Na 2 , 
 
 17. Na 16 (Si 12 Al 12 48 ) - S 4 Na 2 , 
 
 18. Na 12 (Si 12 Al 12 46 ) S 4 Na 4 . 
 
 Ultramarines of other types are arranged according to their sulphonates. 
 The following additional pigments have been produced : 
 
 (a) R m (Al p Si r O n ) ' S 4 14 . 
 
 19. Na 14 (Si 16 Al 12 55 ) S 9 9 , 
 
 20. Na 16 (Si 16 Al 12 56 ) S 9 9 , 
 
 21. Na 4 (Si 12 Al 6 34 ) S 6 3 ONa 2 , 
 
 22. Na 6 (Si 10 Al 6 81 ) S 6 3 . 
 
 (6) R m (Al p Si r O n ) S 4 10 . 
 
 23. Na 16 (Si 16 Al 12 56 ) S 10 4 2 Na 4 . 
 
 (c) R m (Al p Si r O n ) S 4 8 . 
 
 24. Na 14 (Si 18 Al 12 59 ) S 12 , 
 
 25. Na 18 (Si 18 Al 12 61 ) S 12 , 
 
 26. Na 20 (Si 18 Al 12 62 ) S 12 , 
 
 27. Na 12 (Si 16 Al 12 56 )-S 12 . 
 
146 CONSEQUENCES OF THE H.P. THEORY 
 
 (d) R m (Al p Si r O u )-S 4 2 . 
 
 28. Na 8 (Si 12 Al 6 38 ) - S ff 
 
 29. Na 16 (Si 18 Al 12 60 ) S 6 , 
 
 30. Na 18 (Si 18 Al 12 61 ) S 5 0. 
 
 The above ultramarines exist both theoretically and actually. 
 Other corresponding compounds must be produced sooner or later. 
 
 If the views just expressed with regard to the constitution of 
 ultramarines are correct, these substances can only be produced from 
 hydro-aluminosilicates with a-hydroxyls, and not from acids of the 
 following types : 
 
 x 
 I. il;-Si 2. At-Si 3. Al-Si and 4. 
 
 si si 
 
 . . 
 
 X si x si x 
 
 as the latter contain no a-hydroxyls. 
 
 Ultramarines of these latter types are, as yet, unknown, and any 
 attempts to produce them must prove abortive if the hexite-pentite 
 theory is correct. 
 
 Many ultramarines of the greatest diversity of colour are in 
 agreement with the theory. Thus : 
 
 1. According to Zeltner 229 , violet ultramarine may be obtained 
 from the blue or green varieties if chlorine or other halogen and 
 hydrogen is passed through the given ultramarine at 160-180, NaCl 
 being separated. 
 
 2. According to Hoffmann 230 , a purple-red or violet pigment may 
 be obtained from blue or green ultramarine by treatment with acids or 
 salts and air at a high temperature. A separation of the base 
 also probably of the sulphonate group occurs. 
 
 3. J. Phillipp 231 obtained a blue ultramarine by treating green 
 ultramarine with water at 160, and concluded that sodium sulphide 
 was liberated in the process. 
 
 4. Gmelin 232 had previously shown that blue ultramarine, when 
 heated in a current of hydrogen, is converted into red ultramarine with 
 the liberation of H 2 S. 
 
 5. In the following compounds, with the same chromophore and the 
 same silicate nucleus, but with a variable proportion of base, the 
 deepening of the colour with increasing molecular weight in accord- 
 ance with Nietzki's law (p. 142) is readily observable. 
 
 Na 14 (Si 18 Al 12 59 )S 12 is red, 
 Na 18 (Si 18 Al 12 61 )S 12 violet, and 
 Na 20 (Si 18 Al 12 62 )S 12 blue. 
 
THE CONSTITUTION OF ULTRAMARINES 
 
 The possible existence of isomeric ultramarines follows naturally 
 from the theory. Thus, there are four possible isomers for a compound 
 with the formula : 
 
 Na 12 (Si 12 Al 12 46 )S 6 4 Na 2 , 
 
 as may be seen from the following structural formulae : 
 
 0-SNaO-SNa 
 3. 
 
 Si Al Al Si 
 
 \X\x 
 
 SNaO-SNa 
 2. 
 
 0-SNa-SNa 
 4. 
 
 The results of anumber of analyses by R. Hoffmann 233 , Heumann 234 , 
 and Phillipp 235 agree with the last-mentioned formula. In spite 
 of the fact that all the ultramarines examined by these investigators 
 had the same composition, they varied in their characteristics, the 
 ultramarines of Hoffmann and Heumann being blue and that of 
 Phillipp, green. Hence at least two isomers, out of those possible, are 
 known. 
 
 Further studies of these pigments must eventually lead to the 
 discovery of new isomers, the composition of which can be predicted. 
 Thus, there are three possible isomers of the compound 
 
 Na 16 (Si 12 Al 12 48 ) - S 4 4 , 
 with the following structural formulae : 
 
148 CONSEQUENCES OF THE H.P. THEORY 
 
 S S 00 S S 
 
 3. 
 
 On treating a given ultramarine with an aqueous solution of a salt, 
 e.g. the compound 
 
 S S 
 Na 6 O Na 
 
 Na 2 = 
 
 Si Al 
 
 Al 
 
 Si 
 
 /\/ 
 
 a O 
 
 =Na 2 
 
 !=Na 2 
 
 -i 
 
 with BaCl 2 , SrCl 2 , ZnS0 4) AgN0 3 , etc., a substitution of the sodium by 
 barium, strontium, zinc or silver, etc. may occur or the sulphonate 
 group may pass into the new compound. The sulphonates, as already 
 mentioned, are very labile radicles and can easily unite with or throw 
 off oxygen, so that it is by no means impossible that the sulphonate of a 
 new compound may be either rich or poor in oxygen. 
 
 Szilasi 236 and Heumann 237 have reached the same conclusion in 
 their investigation of the behaviour of ultramarine compounds and 
 solutions of salts. Szilasi studied the behaviour of three green ultra- 
 marines (see Appendix) one made at Budapest and the two others 
 at Nuremberg. As it happened, all three samples had the same com- 
 position, viz. : 
 
 S S 
 
 A. 
 
 _/\/\/\/\ = 
 Si Al Al Si I aq. 
 
 S 4 4 (H 2 0) 2 . 
 
THE CONSTITUTION OF ULTRAMARINES 
 
 149 
 
 By treating this compound with a solution of AgN0 3 , Pb(N0 3 ) 2 and 
 ZnS0 4 , Szilasi obtained the following ultramarines : 
 
 ONa ONa 
 
 SO SO 
 
 B. 
 
 aq. 
 
 SO SO 
 
 o 
 
 Ag 16 (Si 12 Al 12 48 ) 
 Pb 8 (Si 12 Al 12 48 ) 
 Zn 8 (Si 12 Al 12 48 ) 
 
 S 4 10 ONa 2 (H 2 0) 4 , 
 S 4 10 ONa 2 (H 2 0) 8 , 
 S 4 10 ONa 2 (H 2 0) 16 . 
 
 The mode of formation of compound B from A is easily seen. On 
 the silicate side there is a replacement of sodium by Ag, Pb or Zn, 
 whilst one sulphonate has added oxygen and the other oxygen and 
 Na 2 0. The addition of Na 2 O is due to the fact noted by several 
 investigators that sodium ultramarines, on treatment with water, 
 lose part of their sodium in the form of caustic soda. 
 
 That the sulphonates can lose oxygen and Na 2 in aqueous solution 
 is shown by the fact that Szilasi was able to reproduce the original 
 sodium salt A from the silver salt B 1, with the structural formula 
 B, by treating the latter with sodium iodide. 
 
 Heumann examined a blue ultramarine from Marienberg, the 
 analysis of which (see Appendix, Analysis No. 10) corresponds to the 
 formula : 
 
 C. 
 
 Na 12 (Si 12 Al 12 46 ) Na 2 S 5 4 . 
 
150 CONSEQUENCES OF THE H.P. THEORY 
 
 This sodium ultramarine was heated with silver nitrate in a sealed 
 glass tube at 120 for seven hours and formed a yellow, silver ultra- 
 marine with a composition corresponding to : 
 
 
 
 SO S 
 
 O 
 
 A 
 
 B. | Si I Al Al | Si 
 
 "YYW 
 
 o o 
 
 so so 
 
 \/ 
 
 s 
 
 Ag M Na(Si 12 Al 12 48 ) - S 6 9 . 
 
 The sulphonate groups in this case were oxidised ; they added 
 oxygen and lost Na 2 O. The silicate side took up more base than 
 compound C, as shown in formula D. Such cases have frequently 
 been observed in the formation of complex silver and thallium salts 
 (p. 19). 
 
 To all appearances, Heumann was able to reproduce the original 
 sodium salt by heating the silver salt for eight hours at 130- 140 with 
 a solution of sodium chloride, but, unfortunately, no analysis of this 
 blue compound is available. 
 
 F 
 
 If the ultramarines are really derivatives of clays and are formed 
 in the manner indicated by the hexite theory, the possibility of the 
 formation at temperatures above the vitrification point of the clay 
 must diminish with the amount of polymerisation which occurs and 
 must cease entirely at the temperature at which the clay fuses, as at 
 that temperature clays no longer contain a-hydroxyl. On the other 
 hand, it must be possible to destroy the colour of any ultramarine by 
 heating it to a sufficiently high temperature. 
 
 Knapp and Ebell 238 have shown that as soon as the temperature 
 of an ultramarine reaches that of incipient vitrification, the possibility 
 of its remaining blue diminishes and it ceases entirely at the fusion 
 point of the material. 
 
 Gmelin 239 has shown that the colour of ultramarine may easily be 
 destroyed by excessive or prolonged heating. 
 
 C. Stolzel 240 heated blue ultramarine to redness for a long time in 
 a platinum crucible and noted that the colour gradually weakened and 
 that a white product was finally obtained. A green ultramarine, when 
 similar!/" 1 ^ ated, showed no diminution in colour. At first it darkened, 
 
THE CONSTITUTION OF ULTRAMARINES 151 
 
 but then showed so great a stability that after several hours' " powerful 
 heating " no further change could be noticed. In all probability, the 
 vitrification point of the green ultramarine examined by Stolzel was 
 above the " red heat " to which it was exposed ; this accounts for 
 the colour remaining unaffected. Further experiments will show 
 whether the destruction of the colour of a number of ultramarines, 
 which are stable at red heat, occurs at a higher temperature. Accord- 
 ing to the hexite theory, this must necessarily occur. 
 
 G 
 
 The separation of a sulphonate group in an ultramarine must 
 result in a destruction of the colour. This is necessarily the case. 
 Dilute acids, such as hydrochloric acid, effect a separation of the 
 sulphonate group and produce a colourless mass. 
 
 H 
 
 If the ultramarines are real derivatives of clays, strong acids must 
 not only effect a separation of the sulphonate groups, but must also 
 affect the silicate nucleus and convert it into a compound of the most 
 stable type, gelatinous silica usually separating out. No experiments 
 in this direction are yet available. The truth of these conclusions at 
 at any rate as regards the separation of gelatinous silica appears to be 
 confirmed by Eisner 241 , who treated two ultramarines one blue and 
 one green with hydrochloric acid. Both lost their colour, sulphuretted 
 hydrogen being evolved and gelatinous silica separated. 
 
 The authors' ultramarine theory gives a maximum content of 
 monovalent bases in these substances. So far as the analyses studied 
 by the authors are concerned, no ultramarine is known with a higher 
 content of bases than the maximum shown by the hexite-pentite 
 theory. 
 
 K 
 
 The theory also demands a minimum molecular weight for ultra- 
 marines. In this connection it is interesting to note that Guckel- 
 berger 242 in studying the ratio H 2 S : S : S0 2 in the decomposition of 
 ultramarines by acids has also arrived at the conclusion that the 
 molecular weight of " ultramarine blue " is greater than that of an 
 atomic complex with 6 silicon atoms, and that it is a multiple of Si 6 . 
 This view agrees with the theory proposed by the authors of the 
 present volume. 
 
 L 
 
 It also follows from the theory, that the sulphonates form definite 
 chemical compounds with silicate nuclei. Ritter 243 has reached the 
 same conclusion experimentally. By the action of chlorine gas at 
 
152 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 300 on the so-called white ultramarine, Hitter has shown that only 
 a small quantity of sodium chloride is formed. From this he rightly 
 concluded that, in the ultramarines, the sulphonates are in true 
 chemical combination with the silicates, as any free sulphide com- 
 pounds present would be completely decomposed by chlorine. 
 
 R. Hoffmann 244 is of the opinion that the sulphonate groups 
 behave similarly to free sulphides, but are not quite the same as the 
 latter as " they show a greater stability in the silicate compounds." 
 
 Analogy between Ultramarines and Sodalites 
 
 In concluding these observations, it is interesting to note the mode 
 of formation of a number of compounds, the constitution of which is 
 analogous to that of the ultramarines. 
 
 The assumption that some normal salts, e.g. Na 2 S0 4 , Na 2 W0 4 , 
 NaN0 3 , etc., contain "water of constitution," when in aqueous 
 solution, is quite reasonable, as the formation of such hydrates is 
 extremely probable (p. 267). If it is accepted, there is a possibility of 
 forming compounds with these salts and an aluminosilicate correspond- 
 ing to 
 
 Na 2 OH OH Na 2 
 B I I 
 
 Na. 
 
 6 Na 2 2 H 2 6 A1 2 
 A 
 
 12 Si0 5 
 
 If water is lost, the constitution of the resultant substances may 
 be represented by the formulae : 
 
 Na 
 
 2 Na 2 
 
 II ' I I II 
 
 Na _/\/\/v\ 
 
 Si 
 
 Al 
 
 Al Si 
 
 Na 
 
 /\/\/\/ 
 Na 2 OH OH Na 2 
 B 
 
 Na 
 
 Na 2 
 
 the sign 2 representing a molecule of a given salt (Na 2 S0 4 , Na 2 W0 4 , 
 NaN0 3 , etc.). 
 
 Thugutt (p. 60) has actually obtained a series of these compounds 
 which may be termed " atomic compounds " (p. 59). From this atomic 
 expression of the constitution of the sodalites it follows that a molecule 
 of silicate A can combine with, at most, 4 molecules of S. This 
 Consequence of the theory is confirmed by the facts, and no sodalite is 
 
CRITICAL REVIEW OF CEMENT THEORIES 153 
 
 yet known which contains more than 4 molecules of 2 to one of A (see 
 the series of Thugutt's sodalites on p. 60). 
 
 Theoretically it is also possible that the aluminosilicate A and other 
 aluminosilicates with a-hydroxyls may not only combine with simple 
 compounds and salts of the kinds mentioned conveniently termed A 
 (acid-) and 2 (salt-) sodalites but also with complex acids and their 
 salts. 
 
 The formation of sodalites (A- and 2-sodalites) of the latter kind 
 occurs in the so-called porcelain cements (p. 215). 
 
 Thugutt's sodalites and the porcelain cement sodalites may there- 
 fore be regarded as analogous to the ultramarines. 
 
 XIII 
 
 A New Theory of Hydraulic Binding Materials, with special reference 
 
 to Portland Cement 
 
 The various substances known as " Portland cement " form only 
 one division of the so-called hydraulic binding materials, the others 
 being known as trass, puzzolans, hydraulic limes, Roman cement, slag 
 cements, etc. Of all these, the Portland cements are the most important 
 and valuable hydraulites. * Like the ultramarines, innumerable theories 
 have been proposed to explain their chemical nature, but none of these 
 theories is completely satisfactory. 
 
 If, as may be taken for granted, the solution of the problem is to 
 be found in the chemical nature of the silicate cements and in the 
 chemical constitution of the substances (silicates) from which they 
 are derived, any attempt to apply the new hexite-pentite theory 
 to the constitution of these cements must be of exceptional interest. 
 If the new theory should prove to be of general applicability to the 
 silicate cements it would not only solve one of the most interesting 
 problems of inorganic chemistry, but the fact that it could afford such 
 a solution would be of enormous value to the new theory itself. 
 
 Before endeavouring to apply the new theory to the hydraulic 
 binding materials, it is desirable to review briefly and critically the 
 various theories now in existence concerning cement, and to state in 
 some detail the nature of the problem the solutions to which hitherto 
 suggested have proved so unsatisfactory. 
 
 Historical and Critical Notes on previous Theories relating to Cements 
 
 The artificial production of Portland cement had scarcely been 
 discovered when a question arose as to the cause of hardening f of 
 
 * A hydraulite is a substance which, when mixed with water to form a stiff paste, 
 sets and becomes hard like a cement. A. B. S. 
 
 f In English-speaking countries the " setting " and " hardening " of cements are 
 treated as distinct. In the present volume, the term " hardening " is used to include all 
 the processes which occur from the time the soft material, made by mixing the cement with 
 water, begins to set to the time when the mass attains its maximum hardness. A. B. S. 
 
154 CONSEQUENCES OF THE H.-P. THEORY 
 
 cements generally. A French engineer, Vicat 270 , who had paid much 
 attention to cements, set to work to investigate, and eventually con- 
 cluded that the hardening was due to the combination of the cement 
 with water. A closer investigation showed that there are several 
 difficulties in the way of accepting this hypothesis, some substances, 
 which were known to combine with water, never hardening like cement. 
 Thus, the zeolites are hydrous aluminosilicates which, after being 
 deprived of water, can absorb it again from the air, though, as Fuchs 
 has shown, such dehydrated zeolites do not harden under water. 
 Again, quicklime is well known to combine with water, yet the com- 
 bination does not produce a hard, solid mass, but only a soft, friable 
 powder. Fuchs 271 therefore sought for another explanation of the 
 cause of the hardening, and eventually made the remarkable discovery 
 since repeatedly confirmed that only those aluminosilicates which, 
 on treatment with acids, produce gelatinous silica, possess the property 
 of hardening with lime and water. Fuchs concluded that hardening is 
 a chemical process in which part of the lime and the " attackable," 
 " soluble " silica unite, on burning, to form a calcium silicate. 
 Indeed, Fuchs went so far as to state the composition of the silicate 
 which he supposed was formed. As no facts in opposition to this 
 theory were known, it was not only accepted readily, but was used to 
 great advantage. Pettenkoffer 272 an energetic supporter of this 
 theory even suggested that Fuchs had so completely solved the 
 problem that no further investigation was necessary ! Feichtinger 273 , 
 however, sought for experimental proofs of Fuchs' theory, and believed 
 he had found it in the following fact : if the hardening is due to a com- 
 bination of soluble silica and free lime, the mixture must lose soluble 
 silica in proportion to the amount of hardening which has occurred. 
 This fact he confirmed on several occasions. 
 
 Fuchs' theory was published before the discovery of Portland 
 cement, and, when applied to the latter, difficulties at once arose. One 
 of these difficulties was that in Portland cement the chemical behaviour 
 suggests that the whole of the lime is in a combined state and that no 
 free lime is present to combine with the soluble silica. This was one of 
 the first facts observed to be opposed to Fuchs' theory. Winkler 274 
 then found it necessary to devise a new theory for these hydraulites,* and 
 at once assumed that in the newer cements the hardening was not so 
 much the result of a new compound of lime and silica as of the separa- 
 tion of lime from a compound previously formed. He retained Fuchs' 
 theory for silicate cements containing free lime (Roman cements) and 
 concluded that in Portland cements the liberation of lime occurred 
 until the same calcium silicate was obtained as Fuchs had found to be 
 necessary in the other hydraulites. 
 
 Feichtinger 275 , on the contrary, opposed Winkler 's theory, and 
 maintained that Portland cements contain free lime ; to this extent he 
 
 * See the first footnote on the previous page. 
 
PORTLAND CEMENT THEORIES CRITICISED 155 
 
 supported Fuchs' theory. Nevertheless, it is possible to draw pre- 
 cisely the opposite conclusions from Feichtinger's experiments, i.e. the 
 absence of free lime in Portland cement. He endeavoured to explain 
 the inconsistency of his theory with the facts by means of a new and 
 improbable hypothesis, viz. that the particles of free lime are so 
 coated over with molten cement that a considerable amount of time 
 is needed before the presence of the free lime becomes noticeable. 
 Feichtinger examined various kinds of hydraulic limes, including 
 those, like Portland cement, in which the whole of the lime is chemi- 
 cally combined, and those, like Roman cements, which contain free 
 lime. Both are readily distinguished by their behaviour towards 
 water ; the former, on hydration, show a scarcely noticeable rise in 
 temperature, whilst the latter show an unmistakable development of 
 heat . Furthermore, Portland cements after a given period of hydration 
 show no Ca(OH) 2 , whilst in the Roman cements this substance may be 
 detected as soon as water is added. This is in direct contradiction to 
 Fuchs' theory. In order to retain this theory, Feichtinger had recourse 
 to the improbable hypothesis mentioned above. 
 
 Winkler 276 has argued that the behaviour of Portland cement towards 
 an alcoholic solution of phenolphthalein shows that the whole of the 
 lime is in a chemically combined state, as the smallest trace of free 
 lime would, if present, turn the indicator red. In reality, no such red 
 colour is produced. Fuchs' theory is inconsistent with the possibility 
 of regenerating the cement from the set or hardened mass, though this 
 possibility may be inferred from Feichtinger's experiments, as will be 
 shown later. No agreement was ever reached by Feichtinger and 
 Winkler : each retaining his own opinion to the last. This shows how 
 strong was the influence of Fuchs' theory on Feichtinger. 
 
 No absolute answer to the question, " Does Portland cement 
 contain free lime ? " has been given, even at the present time ; the 
 influence of Fuchs' theory has been so strong. 
 
 It is also interesting to note how the supporters of the " free lime " 
 hypothesis endeavoured to disparage the value of the phenolphthalein 
 reaction. Some of them suggested that the " free " lime in Portland 
 cement is in a crystalline state and so is incapable of reaction as an 
 alkali. This suggestion is futile, as Richter 277 has prepared crystallised 
 lime and has shown that in alcoholic solution it has an obvious alkaline 
 reaction. 
 
 Fremy 278 endeavoured to show the presence of free lime by treating 
 Portland cement with dilute acids, but Schuljatschenko 279 has rightly 
 shown that the behaviour of Portland cements towards dilute acids is a 
 most unsatisfactory premise on which to argue for the presence of free 
 lime, as the whole of the lime present can be removed from the cements 
 by means of dilute acids. 
 
 Other investigators have used other reagents 278 * such as Mg(NO s ) 2 . 
 
 * A list of reagents which have been tried for showing the presence or absence of 
 free lime in cement will be found in the Bibliography under No. 278. 
 
156 CONSEQUENCES OF THE H.P. THEORY 
 
 A considerable replacement of lime then occurs, and has been con- 
 sidered to prove that Portland cement contains free lime. That this 
 conclusion is false may be readily understood when it is remembered 
 that such reagents are precisely those which decompose the cement. 
 Michselis 280 has rightly shown that the ease with which lime may be 
 liberated by the action of certain reagents does not prove that a 
 portion of the lime in Portland cement is in a weaker state of combina- 
 tion. The statement made by Hardt 281 , that " feebly combined lime " 
 is the same as " free lime," is also quite erroneous. 
 
 Nor does it follow that soluble silica plays a special part in the 
 hardening of cement, even though it is true that only those silicates 
 which contain " soluble silica " are hydraulic. Erroneous ideas as to 
 the part played by " soluble silica " occur throughout the literature of 
 cement ever since the time of Fuchs, and have, hitherto, rendered it 
 impossible to evolve a sufficiently comprehensive theory of hydraulites. 
 Many hydraulites, such as plaster, lime-aluminates, lime-borates and 
 several calcium and magnesium oxides, contain no silica at all. Is it 
 not probable that these silica-free substances harden in accordance 
 with the same general law as the silicate cements ? Yet no one appears 
 to have realised the possibility of the " soluble silica " taking no 
 part whatever in the hardening process, for even Jordis and 
 Kanter 282 , who regard all previous theories respecting the constitu- 
 tion of cements as without foundation and erroneous, lay great 
 emphasis on the importance of " soluble silica " in the hardening of 
 cement. 
 
 The influence of Fuchs' theory is also shown by Heldt 283 , who was 
 clearly of the opinion that the value of cements lies chiefly in the pro- 
 portion of " soluble silica " they contain and that the alumina is only 
 detrimental, when he wrote : " If an aluminosilicate is present in a 
 mortar (cement) it exists simply as a wholly inert material and takes 
 no part in the setting or hardening, but is harmful because it reduces the 
 proportion of silica present. Each per cent, of aluminosilicate which 
 is not combined with lime is lost, so far as the formation of a hardening 
 compound is concerned, and remains as an insoluble and inert 
 material." It is not surprising that Heldt drew the following curious 
 inference from this theory : " If it were possible to prepare a hydraulic 
 mortar (cement) containing 23 per cent, of soluble silica, all existing 
 cement works would be ruined, as the best Portland cement only 
 contains 15-16 per cent, of soluble silica, which is reduced, by the 
 addition of water and after hardening, to only 7 to 10 per cent, in the 
 final product." 
 
 Chatoney and Rivot 284 two French investigators endeavoured 
 to put Heldt 's theory to practical use. Schuljatschenko has published 
 the following comments on this interesting portion of the history of 
 the cement industry: "Two writers, Chatoney and Rivot 284 , the 
 latter a learned chemist and professor at the School of Mines, in their 
 treatise on materials employed in structural work on the sea coast, 
 
PORTLAND CEMENT THEORIES CRITICISED 157 
 
 reached the remarkable conclusion that only those cements are durable 
 in sea-water which consist of the simplest compounds such as those 
 made of lime and silica. Roman cements, puzzolans and other cements 
 lack durability in so far as their composition is complex. ..." These 
 authors arranged that the sea walls in the harbours of St. Malo and La 
 Rochelle should be built with silicates free from alumina, and it is 
 easy to understand the panic which occurred among French engineers 
 when they noticed the rapidity with which the cement used at these 
 places was destroyed. 
 
 Fuchs' theory also influenced the methods of investigation of the 
 constitution and hardening of Portland cements. His view, that the 
 hardening was due to the formation of a given calcium silicate, led to 
 an enquiry as to which substances were formed during the hardening 
 of the cement. These substances were later termed the " effective 
 substances " of the cement. For over fifty years innumerable investi- 
 gators have endeavoured to find the substance which is the chief cause 
 of the hardening of cements,* and it is noteworthy that everyone 
 who was able to prepare an aluminate or silicate which possessed the 
 power of setting in water, at once declared that it was to this substance 
 that Portland cement owes its setting power ! The result is that there 
 are nearly as many " effective substances " as investigators. All kinds 
 of calcium silicates from the mono- to the hexa-silicates and many 
 calcium aluminates have been prepared in this connection, and, to add 
 to the difficulty, the silicates which one investigator declared to be 
 hydraulic were found by another to have no hardening power. " Hence, 
 almost all possible calcium silicates," write Jordis and Kanter 284b , 
 " have been ' found ' in cement clinker ; indeed, some investigators 
 have not confined themselves within the limits of the theoretically 
 possible ! There is, in fact, a repletion of silicates calculated from 
 cement analyses, the only evidence for the existence of which is that 
 the (assumed) compositions of these various silicates, aluminates, 
 ferrates, etc., when added together in the proportions in which they 
 are alleged to be present, agree with those of Portland cement. 
 Surely this is a weak argument when it is realised what is meant by 
 the inclusion of all the possible combinations ! " 
 
 Fuchs' theory is also responsible for the fact that no one has 
 hitherto regarded the Portland cements as chemical compounds, as 
 this would be in direct opposition to the view that the value of a 
 cement lies in the (free) " soluble silica " present. It has, in fact, been 
 generally agreed that Portland cement is either a mixture of various 
 compounds (cf. the theories of Le Chatelier 285 , the Brothers Newberry 286 , 
 Kosmann 287 , Jex 288 , etc.) or a fused mass of indefinable compounds. 
 Erdmenger 289 regards Portland cement as a "glass"; Hardt 290 as a 
 " solid solution," and the theories propounded by Schonaich-Caro- 
 lath 291 , Schott 292 , Zsigmondy 293 , Meyer-Mahlstatt 294 , Rohland 295 , etc., 
 
 * For a list of theories of hardening the reader should refer to No. 284 a in the 
 Bibliography. 
 
158 CONSEQUENCES OF THE H.P. THEORY 
 
 are of a similar nature.* These theories find a merely superficial 
 support from the microscopical examinations of thin sections of clinker 
 by Le Chatelier 296 , Feret, Tornebohm 297 and others, who have found 
 that commercially valuable clinker may be composed of several 
 different materials, f Tornebohm 297 has suggested the terms 
 "alite," "belite," "celite," and "/elite" for the chief of these con- 
 stituents. 
 
 This suggestion although at first sight it appears to be in support of 
 a " mixture " theory is not at all determinative, for no one has yet been 
 able to isolate these various constituents (e.g. by means of a mechanical 
 analysis), nor is there any general agreement as to the composition of 
 these " constituents." Thus, Le Chatelier considers that the clinker is 
 chiefly composed of tri-calcium silicate a substance which has not yet 
 been prepared, with certainty, in a crystalline state, but is a purely 
 hypothetical one. Tornebohm, on the contrary, regards it as a product 
 composed of alumina, silica, and calcium. 
 
 If alite, belite, etc. exist as real constituents of cement, each having 
 a different composition, it must be impossible to obtain cement clinker 
 of perfect uniformity. Yet Richardson 298 has produced clinkers which, 
 when viewed in thin sections, appear to be completely homogeneous, 
 and correspond exactly to good commercial clinkers. J 
 
 It is very probable that the want of uniformity observed by Le 
 Chatelier, Tornebohm and others in thin sections of clinker, is due to 
 a crystallographic and not to chemical differences in the material. 
 This appears all the more probable when it is remembered that it has 
 not yet been found possible to isolate any definitely characteristic 
 constituents from the clinker by means of sedimentation or mechanical 
 analysis. For instance, Schott 299 found that a mechanical separation 
 by means of moving fluid merely divided the material into grains of 
 different sizes, the finest having the same chemical composition as the 
 coarsest. 
 
 [The preparation of transparent sections of cement, as mentioned above, is ex- 
 tremely difficult and is not altogether satisfactory. It is much better to make a micro- 
 graphic analysis of pieces of polished cement clinker etched with water or 1 per cent, 
 hydrochloric acid and viewed by reflected light. Such pieces show that the greater 
 part of the cement is composed of crystals of a single constituent (" alite "), separated 
 by a much smaller quantity of intercrystalline material (celite ? with traces of belite ?). 
 Only the crystalline matter is of value, the other being quite inert. The composition 
 of the intercrystalline matter is uncertain ; it may be the same as that of crystals, the 
 material being merely in a different physical state. 
 
 Pure " alite " has been prepared by O. Schmidt and K. Unger (Der Portland 
 
 * For further information on the constitution of cement clinkers see No. 295 in 
 the Bibliography. 
 
 t For further information on the microscopical examination of cement see 
 No. 298 in the Bibliography. 
 
 J In a critique of the hexite-pentite theory made shortly after the publication of 
 the German edition of the present work, Allen and Shepherd stated that a reinvestiga- 
 tion of Richardson's clinkers with improved appliances showed that they were not 
 homogeneous. This discovery, which was not known to the authors when this book 
 was written, does not affect their argument, but only shows that Richardson was un- 
 able to produce, as he had hoped, a perfectly homogeneous cement. This has, however, 
 been obtained by Schmidt and Unger, as pointed out in the translator's note (below). 
 
PORTLAND CEMENT THEORIES CRITICISED 159 
 
 Zement, Stuttgart, 1906, p. 102) by heating a mixture containing 67 per cent, of lime 
 to fusion. The " alite " crystals had a composition corresponding to : 
 
 Lime 67.33 
 
 Silica 23.50 
 
 Alumina 3.82 
 
 Iron oxide 2.28 
 
 Magnesia 2.34 
 
 Other matter 0.73 
 
 100.00 
 
 According to C. Desch 709 , " These crystals are completely homogeneous, so that 
 we are fully justified in regarding them as a solid solution of calcium silicate and 
 aluminate, but not in assigning to them a definite chemical formula." 
 
 This statement of Desch's is most peculiar. Surely the fact that the material is 
 crystalline is opposed to its being a " solid solution," and in any case it is not clear 
 why it is wrong to assign a chemical formula to crystals. 
 
 In criticising the German edition of the present work, C. Desch complains that the 
 authors have not paid sufficient attention to the structure of cements as revealed by 
 the microscope. Yet this investigator, whilst accepting the homogeneity of Schmidt 
 and Unger's cement, refuses to regard it as a definite chemical compound ! The " solid 
 solution " theory, which he prefers, has been exhaustively discussed in the general 
 criticism of the various theories respecting silicates (p. 13) and is further confuted by 
 the fact that no Portland cement has yet been found which does not conform to the 
 hexite-pentite theory, which states that such cements are highly basic calcium salts of 
 aluminosilicic acids. Besides, the properties of Portland cement do not coincide with 
 Desch's or any other theory of mixed crystals. (Vide pp. 13, 22 and 162.) In short, 
 there can be no single substance forming the essential constituent of all Portland cements 
 and corresponding to alite, because, as the authors' formulae show, the compositions 
 of cements differ greatly from each other, although they all admittedly fall within certain 
 limits when expressed in the form of an ultimate analysis.] 
 
 There is a sense in which all theories published on the silicate 
 cements are developments of that of Fuchs, and a considerable number 
 of investigators at the present time are still under its influence. It is, 
 however, impossible to find that these theories have led to any satis- 
 factory results, but rather to the opposite. The worthlessness of 
 these theories is particularly noticeable when an attempt is made to 
 use them in explaining the various experimental results which have 
 been obtained in silicate cements. Thus, in the light of the foregoing 
 theories, the following facts are inexplicable : 
 
 (a) It is known that the best temperature for burning a mixture 
 of clay and lime or chalk in the production of Portland cement is the 
 temperature at which the amount of vitrification is readily appreciable 
 to the unaided eye * and that the quality of the cement also depends 
 on the duration of the heating. If this is too prolonged or the tempera- 
 ture is too high, a cement of lesser, or of insignificant value is produced. 
 
 The theories previously mentioned afford no explanation of this 
 important fact. 
 
 (6) Silica cements which have been heated to the sintering point, 
 become gelatinous when treated with dilute acids. 
 
 This fact is well known, but not the slightest explanation has yet 
 been given as to its cause. 
 
 * This is sometimes termed the " sintering point." It is reached when sufficient 
 fusion has occurred to render the mass impervious to any suitable fluid which has no 
 chemical action on the material. A. B. S. 
 
160 CONSEQUENCES OF THE H.P. THEORY 
 
 (c) It is known that in Portland cements a portion of the lime is 
 more readily removable than the remainder. The usual explanations 
 offered are that cements contain both free and combined lime, or that 
 part of the lime is in a state of weaker combination than the rest. The 
 first or " free lime " hypothesis has been shown in previous pages to be 
 opposed to the facts. The second is often thought to be supported by 
 the supposed presence of highly basic silicates and aluminates in the 
 cement. The behaviour of Portland cement towards certain reagents is, 
 however, opposed to this hypothesis. The supposition that calcium 
 silicates are present is founded on Winkler's experiments, which showed 
 the calcium silicates to be insoluble in an alcoholic solution of hydro- 
 chloric acid. From this it was argued that those portions of cement 
 which are insoluble in this reagent are composed of calcium silicate. 
 Calcium aluminates react alkaline to an alcoholic solution of phenol- 
 phthalem. Portland cements should, therefore, produce a red colour 
 with this reagent. As a matter of fact, they do not do so. 
 
 Hence, the ready separation of a definite proportion of lime from 
 Portland cements is very puzzling in the light of previous theories. 
 
 (d) By granulating furnace slags it has been found possible to 
 produce silicate cements which will only set or harden in the presence 
 of water containing lime or other alkalies in solution. None of the 
 theories previously mentioned can be used to explain this fact. Ac- 
 cording to Zulkowski 300 some Portland cements, as soon as they have 
 lost a certain percentage of lime, possess this characteristic of slag 
 cements and will only harden in the presence of alkaline fluids and not 
 at all with water alone. None of the existent theories show any genetic 
 relationship between the Portland cements and the slag cements. 
 
 As a matter of fact, there is such a relationship, as will be shown later. 
 
 (e) Lunge's 301 investigations on the resistance to alkalies of granu- 
 lated and ungranulated slags showed that, in the latter, the aluminium 
 is more strongly combined than in the former. There is no explanation 
 of this fact outside the present volume. 
 
 (/) The existing theories neither permit the prediction of the 
 following facts, nor do they provide a satisfactory explanation of them : 
 
 (1) According to Schott 302 a considerable proportion of lime may be 
 removed from a cement without affecting its setting and hardening power. 
 
 (2) According to Michaelis 303 , Schott, and others, it is possible to 
 reproduce the original cement from one which has been fully hardened. 
 
 (3) If a cement is allowed to set and is then ground to powder and 
 again mixed with water, it will again set hard, but not so strong as before. 
 
 (g) There can be scarcely any doubt that hardened cements are 
 very sensitive to certain salts, particularly to sulphates. None of 
 the existing theories can explain this harmful action of sulphates, nor 
 do they indicate any means whereby it may be avoided. When it is 
 remembered that an explanation of the harmful action of sulphates on 
 cement is probably the most likely means of overcoming the difficulties 
 caused by these compounds including the possible solution of the sea- 
 
PORTLAND CEMENT THEORIES CRITICISED 161 
 
 water problem it is not difficult to imagine that the inability of 
 existing theories to throw any light on this important subject is one of 
 the gravest objections to their use. Another special weakness of 
 existing theories lies in the assumption made in almost all of them, 
 that Portland cements are not single compounds. This assumption, 
 which is entirely without foundation in fact, not only limits the develop- 
 ment of chemical knowledge of the silicate cements, but makes such 
 development quite impossible. 
 
 The opinion that Portland cements do not form chemical in- 
 dividuals is doubtless due to the prevalent ideas of the constitution of 
 the substances from which these cements are derived, viz. the clays. 
 The conception of other derivatives of clay, such as the ultramarines, as 
 chemical individuals is also made difficult for the same reason. 
 
 Now that it has been shown (a) that the clays and ultramarines may 
 be regarded as true chemical individuals (i.e. as definite chemical 
 compounds), (b) that by so regarding them, the whole mass of pub- 
 lished experiments on the silicates becomes explicable, and (c) that this 
 conception of them has the characteristics of a true chemical theory 
 one which permits a single classification for all these substances as well 
 as the deductive study of them it appears to be highly probable that 
 the Portland cements, which are nothing more than derivatives of 
 claj^s, may also be regarded as chemical individuals, provided that 
 no facts are opposed to this view. 
 
 When it is added that by thus regarding the Portland cements as 
 definite chemical individuals and applying the new hexite-pentite 
 theory to them, the meaning of the whole mass of published experi- 
 mental results becomes clear and that a new means of solving the 
 important " sea-water " problem is provided, it is hardly too much to 
 suppose that there will scarcely be a chemist who will continue to 
 regard Portland cements in the old erroneous manner as mixtures of 
 various substances. 
 
 In applying the new theory to Portland cements, the following 
 subjects must be considered : 
 
 (a) The chemical constitution of the Portland cements. 
 
 (b) The reactions which occur during the formation of Portland 
 cements, and the influence of the duration of heating and of the 
 temperature on the products. 
 
 (c) A new theory of setting and hardening. 
 
 At the suggestion of A. B. Searle the following statements, which 
 occur in various text-books, are dealt with more specifically than in the 
 original (German) edition of this treatise : 
 
 (a) The temperature in a cement kiln only effects a partial fusion of the material. 
 (6) Chemical reactions between solid substances take place very slowly and are 
 seldom complete. 
 
 (c) Cement clinker is not a homogeneous substance, but merely a mixture or a 
 solid solution, and correct conclusions as to its chemical constitution cannot be drawn 
 without studying each of the constituents separately. 
 
 (d) The chemical reactions which occur in the burning of cement are never com- 
 plete, and it is therefore incorrect to regard the product as a single compound, the 
 constituents of which are in proportions conformable to the laws of Dalton and Proust. 
 
 M 
 
162 CONSEQUENCES OF THE H.R THEORY 
 
 (e) Cement clinker consists essentially of colloidal substances and the properties 
 of cement are due to the colloidal nature of its various constituents. 
 
 With respect to (a), a partial fusion of the material is not incom- 
 patible with the unitary nature of the clinker, i.e. it does not neces- 
 sarily imply that clinker is not composed of a single definite compound. 
 The partiality of the fusion is due to the low heat conductivity of the 
 material, whereby the melting point is not reached in the interior of 
 the mass. 
 
 [An interesting parallel to this was found by J. W. Cobb, who showed that lime 
 and silica enter into complete combination even though the temperature reached is far 
 below that required to fuse the lime and silica or the compound so formed.] 
 
 The statement (b), that the chemical reactions between solid 
 materials are slow and seldom complete, is by no means true at high 
 temperatures. Besides, there is no positive proof that on heating a 
 mixture of kaolin with calcium carbonate (the pure constituents of a 
 raw cement mix) the clinker contains free clay as well as free calcium 
 carbonate or rather free lime. On the contrary, the very small pro- 
 portion of insoluble matter in cement clinker (only 1-2%) shows that 
 the reaction is remarkably complete. 
 
 [Cobb's experiments, mentioned above, afford a further proof of the speed and 
 completeness of reactions between solid substances.] 
 
 That, as stated in (c), clinker is a mixture and not a compound is 
 purely an assumption and not a fact. Of the two assumptions, (1) that 
 cement clinker is a compound, and (2) that it is a mixture, that must 
 be the more probable which satisfies the most facts and enables the 
 prediction of the most properties to be made. This is unquestionably 
 true of the assumption that cement clinker is a true chemical com- 
 pound. 
 
 Statement (d) is sufficiently answered in the comment on statement 
 (b) given above. 
 
 Statement (e) that cement clinker is essentially colloidal is another 
 pure assumption which is quite unnecessary. It is true that cements 
 have some characteristics in common with colloids, especially with 
 regard to their behaviour on treatment with water. Any confusion 
 which may arise in this connection can only be due to a superficial 
 appreciation of the properties and structure of colloids. For, as a 
 matter of fact, the colloidal properties of cements and clays are by no 
 means incompatible with their chemical individuality, and, in the 
 authors' opinion, the colloids themselves are not mixtures, but definite 
 chemical compounds of very high molecular weight. 
 
 It is most surprising that C. Desch, on the one side, and E. T. Allen 
 and E. S. Shepherd, on the other, in their reviews of the German 
 edition of this work reproached the authors of the H.P. theory for 
 regarding Portland cements as definite chemical compounds and not as 
 mixtures. These critics believe that the microscopical investigation of 
 cements has shown positively that cements are heterogeneous sub- 
 stances. This is the sole argument which has been brought in opposi- 
 tion to the H.P. theory. 
 
 Unfortunately, these critics have omitted to bear a very important 
 
PORTLAND CEMENT THEORIES CRITICISED 
 
 16$ 
 
 fact in mind, namely, that a difference in crystal form does not neces- 
 sarily prove the presence of substances of different chemical composi- 
 tion. There is always a great probability of di- or poly-morphism, 
 whereby one and the same substance may assume different forms. 
 
 [The various forms which sulphur assumes is a particularly interesting example of 
 polymorphism brought about by cooling under different conditions.] 
 
 A proof of the non-identity of the various crystalline substances in 
 cement can only be furnished by proving that each of them has a 
 different chemical composition. This proof simple as it appears to be 
 is entirely wanting with regard to Portland cements, and all attempts 
 which have so far been made to separate the various crystalline con- 
 stituents have proved abortive. 
 
 These critics appear to adhere to one of the numerous mixture 
 theories of the constitution of cements, and it would be of great interest 
 if they would only state which is the one they prefer. If it were correct 
 to speak of a " fog of theories " such a term might well be applied to 
 the various mixture theories applied to Portland cements. Jordis and 
 Kanter, in their well-known work on cements, have stated that all 
 kinds of compounds, of possible and impossible theoretical constitution, 
 may be present as essential constituents, and when enquiry is made 
 as to what the various theories explain, it is almost impossible to find 
 a simple answer. The following lines will give the reader a clearer idea 
 as to the nature of the mixture theories : 
 
 Some writers state the composition of only a limited number of 
 constituents ; others give the composition of the clinker. In the 
 former class are Jex, Le Chatelier, Erdmenger, Rebuff at, Zulkowski, 
 etc. ; in the latter are Kosmann, Newberry, Jex, etc. 
 
 The constituents of cement clinker according to the writers named 
 below are shown in the following Table : 
 
 Alleged 
 Constituent 
 
 Year 
 
 Authority Quoted and Reference 
 
 Si0 2 
 2 CaO SiO 5 
 
 3 CaO SiO, 
 
 2-3 CaO SiO 2 . 
 
 3-4 CaO SiO 2 . 
 5 CaO 2 SiO 2 . 
 
 1884 
 1900 
 1893 
 1899 
 1901 
 1901 
 
 1856 
 1885 
 1885 
 1901 
 
 1901 
 1902 
 1902 
 1903 
 
 1856 
 1865 
 
 Le Chatelier, Bull de la Soc. Chim., 41, 377. 
 
 Jex, Tonind. Ztg., 1900, 1856. 
 
 Erdmenger, Chem. Ztg., 1893, 982. 
 
 Rebuffat, Gaz. Chim. ital., 28, II. 
 
 Zulkowski, Chem. Industr. 1901, 290, and Pamphlet, 1901. 
 
 Leduc, Sur la dissociation des produits hydrauliquea, Sept., 
 
 1901. 
 
 Rivot & Chatoney, Comptes rend, 153, 302, and 785. 
 Le Chatelier, Bull, de la Soc. Chim., 42, 82. 
 Spencer & Newberry, Tonind. Ztg., 1898, 879. 
 A. Meyer, Bull. Boucarest, 1901, No. 6; Tonind. Ztg., 1902, 
 
 p. 1895. 
 
 Ludwig, Tonind. Ztg., 1901, p. 2084. 
 Kosmann, Tonind. Ztg., 1902, p. 1895. 
 Clifford Richardson, Tonind. Ztg., 1902, p. 1928. 
 Michaelis, Versammlung des Vereins der Portland Zement 
 
 fabrikanten, 1903. 
 
 Winkler, Jour. f. prakt. Chemie, 67, 444. 
 Heldt, Jour. f. prakt. Chemie, 94, 202-37. 
 
164 CONSEQUENCES OF THE H.P. THEORY 
 
 The true composition of clinker is, according to Kosman (1895) : 
 
 4r\n CJi/"^ I ) ^-^2 * -*^*2^-) * ^4 ( 
 Ca 2 biO 4 + I a 2 f g.^ 4 | , 
 
 According to Newberry (1898) : 
 
 x (3 CaO SiO 2 ) + y (2 CaO A1 2 3 ). 
 According to Jex (1900) : 
 
 h c(CaSi0 3 ) 
 
 ICaO 
 
 CaO 
 CaO 
 
 2 CaO 
 and according to Ludwig (1901) : 
 
 3.033 CaO -f 0.125 MeO + 0.217 A1 2 3 + 1 Si0 2 , 
 or 3.158 MeO + 0.217 A1 2 3 -f 1 Si0 2 . 
 
 The published opinions as to the chemical composition of hardened 
 cements and of the constituents which cause this hardening are 
 equally divergent and confusing, as the examples in the following 
 Table will show : 
 
 Alleged Constituents Causing the Hardening of Cements 
 
 Alleged 
 Constituent 
 
 Authority Quoted and Reference 
 
 CaO Si0 2 H a O 
 
 4 CaO 3 Si0 2 H 2 O 
 
 5 CaO 3 SiO a H 2 O 
 3 CaO 2 Si0 2 - H 2 O 
 
 2 CaO SiO 2 H 2 O 
 
 3 CaO SiO 2 H 2 O 
 
 Le Chatelier, Bull, de la Soc. Chim., 1885, 42, 82. 
 
 Jex, Tonind. Ztg., 1900, 1856-1919. 
 
 A. Meyer, Bull. Boucarest, 1901, No. 6. 
 
 Zulkowski, Pamphlet, 1901. 
 
 Landrin, Compt. rend., 1883, 96, 156, 379, 841, 1229. 
 
 Michaelis, Jour. f. prakt. Chemie., 1867, 100, 257-303. 
 
 Michaelis, Verhandlung d. Vereins z. Beford. d. Gewerbefleizes, 1896, 
 
 317. 
 
 Rebuffat, Tonind. Ztg., 1899, 782, 823, 853, 1900. 
 A. Meyer, Butt. Boucarest, 1901, No. 6. 
 Erdmenger, Chem. Ztg., 1893, 982. 
 Rivot & Chatoney, Compt. rend., 1856, 153, 302, 785. 
 Michaelis, Jour, prakt. Chemie., 1867, 100, 257-303. 
 
 Michselis has also stated that the composition of a fully hardened 
 cement may be represented by : 
 
 246 (3 CaO R 2 3 +3 H 2 0)+661 (5 CaO 3 Si0 2 +5 H 2 0)+93 (CaO-J-H 2 0). 
 
 Allen and Shepherd have made the remarkable statement that the 
 view that Portland cement is a mixture of various constituents is 
 supported by ' a large amount of evidence.' It would be mostinteresting 
 to see this voluminous evidence, as it is entirely unknown to the authors 
 of the H.P. theory. Indeed, these critics appear to have overlooked 
 
THE CONSTITUTION OF PORTLAND CEMENTS 165 
 
 a fact to which Rohland has drawn attention, namely, the undeniable 
 relationship between the constitution of clays, ultramarines and 
 Portland cements. If Portland cements were mixtures, then clays 
 and ultramarines could not be definite chemical compounds, yet the 
 available experimental evidence is entirely in support of their definite 
 chemical composition. 
 
 Almost all students of the constitution of Portland cements have 
 overlooked the following considerations : 
 
 Portland cements are, theoretically, highly basic lime salts of 
 aluminosilicic acids, i.e. they are basic salts of which clays are the 
 corresponding acids. Their general properties are in entire agreement 
 with this view of their constitution, and it is incomprehensible that on 
 treating clay with calcium carbonate in the manufacture of cement, 
 the product should not be a lime salt, but a mixture of various silicates 
 and alurninates. It must also be remembered that Vernadsky has 
 proved that free carbon dioxide is evolved when kaolin is heated with 
 sodium carbonate and that a sodium salt is formed quantitatively. 
 Analogous reactions occur in the synthesis of ultramarine from clay, 
 sodium carbonate and sulphur, wherein sulphur addition-products of 
 the sodium salt of the clay are formed. There is no foundation whatever 
 for the assumption that the reaction between calcium carbonate and 
 clay produces any other substances than those which the H.P. theory 
 demands. 
 
 (a) The Chemical Constitution of the Portland Cements 
 If any suitable hydro-aluminosilicate such as 
 
 _AAAA, 
 
 Si I Al I Al I Si 
 
 H 20 (Si - Al - Al Si), 
 
 which has been repeatedly mentioned on previous pages be exam- 
 ined, it will be found (p. 139) to possess two kinds of OH-groups, viz. 
 a- and s-hydroxyls. The a-hydroxyls play a special part in the forma- 
 tion of the ^4-aluminosilicates ; in the formation of Portland cements 
 the s-hydroxyls are specially important. The hydrogen of the 
 5-hydroxyls which may be briefly referred to as ^-hydrogen is, unlike 
 the a-hydrogen of the a-hydroxyls, replaceable by such groups as : 
 
 R"-OH, R"-O-R"-OH and R" O R" O R" OH, 
 
 (R" = Ba, Sr, Ca, Mg, etc.) 
 
 The basic atomic complexes are known as hydro-basic groups and as 
 side-chains.* If the elements of water are split off from two neighbour- 
 
 * For an explanation of side-chains a good text-book on organic chemistry 
 should be consulted. A. B. S. 
 
166 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 ing (ortho) positions in the hydrobasic side-chains, anhydrobasic groups 
 are formed as shown : 
 
 -0-R''-|OH 
 R" OlH 
 
 R" 
 R" 
 
 O R 
 
 R\ 
 
 /o 
 
 R" x 
 
 O R" 
 
 
 ^ 
 
 R" 
 
 O R"/ 
 
 The hydrobasic atomic complexes 
 
 R" OH, R" O R" OH and R" R" R" OH 
 may be represented, according to the number of R"-atoms, by 
 
 (1), (2) and (3), 
 respectively, and the anhydrobasic complexes 
 
 R"\ R" \ R" R^ 
 
 __ o R"/ ' O - R" - O - R"/ ' O R 7 ' R"' 
 
 O R" O R" \ O R" O R* O R"\ n 
 
 R" - O R" O R"/ ' R" R" O R"/ 
 
 etc., 
 
 O R V 
 may each be indicated, according to the number of R "-atoms, by 
 
 2, 3, 4, 5, 6, etc. 
 A few examples will make this clear : 
 
 2 K 2 O 28 R"O 6 H 2 O 
 
 6 A1 2 3 12 Si0 2 
 
 Hydrobasic Salt. 
 
 Na 2 O 20 R"O 6 H 2 
 
 H 2 6 A1 2 3 12 Si0 2 
 
 Hydrobasic Salt. 
 
 4 H 2 40 R"0 6 A1 2 3 12 Si0 2 
 
 Hydro-anhydrobasic Salt. 
 
 3= 
 
 3== 
 
 28 R"0 6 A1 2 3 12 Si0 2 
 Anhydrobasic Salt. 
 
THE CONSTITUTION OF PORTLAND CEMENTS 167 
 
 What has been stated with regard to substances of the type 
 
 Si Al Al Si is equally applicable to other types, and the existence 
 is, therefore, possible of : 
 
 3= 
 
 4 4 
 
 - f'YA 
 
 Si |Al|Sij>=3 
 
 11 \/ II 
 4 4 
 
 etc. etc. 
 
 The Al may be partially or completely replaced by the sesquioxides 
 Fe"', Cr'", Mn'", Ce"', etc., and the Si by Sn, Ti, Zr, etc., whereby the 
 number of these basic salts is largely increased. 
 
 Some of these basic salts with definite hydro- or anhydro-basic side- 
 chains (viz. when R"=Ca, Mg) are manufactured on a large scale and 
 are sold commercially in a finely-powdered state under the name of 
 " Portland Cement." (It would be more correct to use the plural form 
 " Portland Cements.") 
 
 These Portland cements certainly contain 3 chains ; their maxi- 
 mum content of base remains to be found. Good samples appear never 
 to exceed a maximum corresponding to 6 side-chains. Apart from 
 this, these cements appear to contain a little alkali (in the aluminium 
 hexite), a little water (probably basic), and small quantities of such salts 
 as K 2 S0 4 , K 2 CO 3 , Na 2 SO 4 , CaSO 4 , etc., but only as impurities. 
 
 The following are typical examples of Portland cements : 
 
 (2)(2) OK OK (2)(2) 
 
 II I I II 
 
 4= 
 
 4= 
 
 = 4 C 
 
 + 0.5 CaSO + 0.5 Na(K)CO, 
 
 4 ONa ONa 4 
 2 H 2 24 CaO 8 MgO K 2 Na 2 6 A1 2 3 12 Si0 2 +2. 
 
 5 OK 5 
 
 Si 
 
 Al Si 
 
 + 0.5 NaCl 
 
 20 CaO 16 MgO K 2 3 A1 2 3 12 Si0 2 + 0.5 NaCl. 
 
 '\/\/\/' 
 
168 CONSEQUENCES OF THE H.P. THEORY 
 
 + 0.5 K 2 S0 4 
 
 5 
 39 CaO 3 A1 2 3 15 Si0 2 + 0.5 K 2 S0 4 , etc. etc. 
 
 (b) The Reactions occurring in the formation of Portland Cements, and the 
 influence of the time of heating and the temperature on the Products 
 
 Portland cements may be made by burning the most widely different 
 clays with definite quantities of lime or calcium carbonate. The ratio 
 of lime to clay naturally varies with the latter. Hitherto, the proportion 
 of lime and clay has been fixed empirically, i.e. it has been arranged 
 according to a definite rule (termed the hydraulic modulus) for each kind 
 of clay. 
 
 As, according to the authors' theory (p. 102), the clays are merely 
 aluminosilicic acids, the reactions which occur in the burning of 
 cement are obvious, and consist chiefly in replacing the s-hydrogen in 
 the clay by anhydrobasic groups. This cannot be so readily observed 
 in the commercial manufacture of these cements, as silica, alumina, 
 lime, alkali, etc. (in the form of impurities in the coal), are added to the 
 materials in the original mixture and produce other types than those 
 here described in detail. 
 
 To obtain some idea of the influence of the temperature and dura- 
 tion of the heating it is necessary to use the dynamisation theory 
 (p. 108). According to this, the oxygen valencies which are in a satur- 
 ated state in the raw material are set free when the clay, etc. is heated 
 to its vitrification point. If the heating is prolonged or the temperature 
 rises much above that needed to produce vitrification, polymerisation 
 products are formed and the free oxygen valencies again become 
 partially or completely bound. If the heating is still further prolonged 
 or the temperature is raised until the material melts, an increase in the 
 density of the basic silicates present may be observed. At the melting 
 point of the material, the polymerisation attains a maximum ; the 
 maximum density must, of necessity, be reached simultaneously. 
 This change in density under the influence of heat has been repeatedly 
 observed by various investigators as well as by the authors of the 
 present volume. 
 
 From these considerations it follows that the activity of the basic 
 salts (which is due to the liberation of secondary oxygen valencies at 
 the vitrification temperature of the material) is diminished or even 
 destroyed on prolonged heating at a temperature approaching the 
 melting point. 303a 
 
THE CONSTITUTION OF SLAGS 169 
 
 Both consequences of the theory (a) the increase in density on 
 prolonged heating, attaining of a maximum at the melting point, and 
 (b) the diminution of activity or ability to hydrate are fully con- 
 firmed by the facts. 
 
 In confirmation of the second consequence of the theory, the 
 following facts may be cited : A properly burned cement, if crushed 
 to powder and then mixed with a suitable proportion of water, readily 
 hydrates at the ordinary temperature. This property of cement 
 diminishes on prolonged heating at the vitrification point and, in some 
 cases, ceases entirely when the cement is fused. 
 
 If the temperature is raised much above the melting point, further 
 reactions may occur, the polymerised molecule breaking up into its 
 original constituents i.e. into single cement molecules or decom- 
 position occurs within the cement molecule itself. In the former case, 
 useful cements are produced. Schmidt and linger have prepared 
 crystalline Portland cements from such fused substances by means 
 of the electric arc. Sauer has investigated the optical properties of 
 these crystals. When crushed and mixed with water they set rapidly, 
 with an appreciable development of heat. 
 
 This theory of the formation of polymerisation products of alumino- 
 silicates (including calcium aluminosilicates) at high temperatures, 
 provides a simple explanation of several facts wilich have hitherto 
 proved puzzling. Among several others : 
 
 The Eeactions which occur on granulating furnace slags and the 
 formation of Silicate Cements from them 303b 
 
 are thereby explained. 
 
 The raw materials from which iron is obtained are the iron ores. 
 In addition to iron, these contain other earthy constituents such as 
 lime, silica and alumina. The object of smelting these ores with coke 
 in furnaces is to separate the metallic iron from the other materials 
 and to remove the latter in a fluid state as slags. In order that the 
 slags may possess the necessary fluidity, the lime must bear a certain 
 ratio to the silica and the alumina, and great care is exercised by 
 iron-smelters to ensure that this ratio is maintained. In most cases, 
 the proportion of lime in the raw iron ores is too low and an addition of 
 limestone is, therefore, made. Under favourable conditions, the 
 molten iron and slag separate readily in the furnace on account of 
 the great difference in their specific gravities, and are allowed to flow 
 separately out of the furnace at two different levels. The slag carries 
 off all the lime, silica and alumina in the form of a calcium alumino- 
 silicate. 
 
 If the slag is " quenched," by allowing it to fall into cold water, a 
 material is obtained which, if crushed to a fine powder and mixed with 
 alkaline solutions (lime-water, etc.), hardens to a strong mass. The 
 material which has not been granulated does not possess this property. 
 
 The simplest explanation for this difference in behaviour between 
 
170 CONSEQUENCES OF THE H.P. THEORY 
 
 slags which have been granulated and others is that the latter are 
 polymerised, whereas the quenched or granulated slags undergo an 
 " entpolymerisation," i.e. a breaking up into single cement molecules. 
 
 Against this view it may be argued that these slags are only 
 mixtures and not chemical compounds, but no satisfactory proof has 
 been found in support of this objection. On the contrary, it is obvious 
 that the manner in which these slags are produced is neither irregular 
 nor capricious, but is in accordance with definite " laws," their com- 
 position only varying in the several works because of differences in 
 the iron ores used. 
 
 Hence, if an iron ore of constant composition is used in a given 
 works, the composition of the slags will also be constant. This conse- 
 quence of the authors' new theory of the constitution of slags is adopted 
 by Jantzen 304 , who supports it by the following analyses of furnace 
 slags from the Buderus Iron Works in 1888 to 1890, 1893, 1895 and 
 1899 : 
 
 Si0 2 AljO, F,0, FeO MnO CaO CaSO 4 CaS MgO Alkalies 
 
 1888-90 35.20 10.02 0.21 0.55 0.30 47.10 1.56 2.17 1.20 (not determined) 
 
 1893 34.50 10.90 0.18 0.64 0.46 47.44 1.44 1.99 1.36 
 
 1895 34.23 10.28 0.33 0.64 Trace 48.26 1.87 2.07 1.13 
 
 1899 35.40 10.45 v , ' 0.37 46.74 1.72 1.81 1.20 
 
 0.91 
 
 This remarkable regularity in the composition of the slags during 
 so long a period cannot be a mere coincidence. It is far more character- 
 istic of a definite law, such as is only observed in connection with the 
 formation of definite chemical compounds. 
 
 Allen and Shepherd 737 deny that this constancy of composition is 
 due to the reason stated and regard it as caused by the constant com- 
 position of the mixture charged into the furnace. They endeavour to 
 support their contention by stating that many minerals have been 
 found in such slags, and protest against speculations on the structural 
 chemical nature of substances of which the molecular weight is un- 
 known. The obvious reply to such a criticism is that it is quite beside 
 the point. There is no evidence in support of the view that the com- 
 position of the slags is dependent on that of the charge, except in so 
 far as all chemical reactions require certain proportions of raw materials 
 before they can occur. The fact that the charge is constant, or 
 variable within certain limits, is not incompatible with the formation 
 of definite chemical compounds. 
 
 The further allegation that such slags contain many minerals is not 
 supported by facts. Jantzen, who arrived at the same conclusion as the 
 authors of the H.P. theory, concerning the slags he examined, must 
 have reached a widely different conclusion if the slags had really con- 
 tained numerous minerals. 
 
 If Allen and Shepherd insist on regarding slags as a kind of " glass," 
 i.e. as a mixture, it is difficult to see how they can explain satisfactorily 
 the results of Lunge's experiments (pp. 160 and 171) on the behaviour of 
 granulated and ungranulated slags with alkalies. It would be a most 
 
THE CONSTITUTION OF SLAGS 
 
 171 
 
 remarkable coincidence if such slags behaved so completely in accord- 
 ance with the H.P. theory, if this theory were quite erroneous. 
 
 With regard to the determination of the molecular weight of the 
 constituents of slags, it is one of the advantages of the H.P. theory 
 that (as has been previously pointed out) it furnishes for the first time 
 a fully established hypothesis concerning the minimum molecular 
 weight which a substance can possess when in the solid form. The 
 determination of this minimum has been impossible hitherto, as no 
 method yet known not even the physico-chemical ones used for 
 soluble compounds is applicable to solids. The published molecular 
 weights are, as the present writers have shown elsewhere, only applic- 
 able to substances in gaseous form or in solution, and cannot be used 
 for substances in a solid state. The charge of lack of knowledge of 
 molecular weight of the compounds concerned cannot, for this reason, 
 be urged in opposition to the H.P. theory. 
 
 Previous theories as to the nature of furnace slags have led to most 
 puzzling results. The theory that the chief constituent of these 
 slags is a definite chemical compound is confirmed by the fact that 
 analytical results obtained by Jantzen agree well with the formula : 
 
 26 CaO 1.5 MgO 0.25 FeO 0.25 MnO 3 A1 2 3 18 Si0 2 CaS 0.5 CaS0 4 
 
 
 
 An experimental proof of the authors' views of the constitution 
 of furnace slags is to be found in an investigation of slowly cooled 
 and of granulated slags by Lunge 305 , who obtained the following 
 results : 
 
 21.5 CaO 0.5 MgO 2 H 2 6 A1 2 O 3 10 Si0 2 CaS 
 
 , \\ / \/ \ ii \ 
 
 j 3=<(si] Al | Al|sT>=3 CaS I 
 V II \/\/ II ' 
 
 CaO 
 
 Calculated 47.46 
 
 Foundin \(a) 47.17 
 
 Granulated slag )(b) 47.14 
 
 Foundin l (a) 46.38 
 
 Ungranulated slag/ (6) 46.40 
 
 MgO 
 
 0.78 
 
 CaS 
 
 2.82 
 
 A1 2 3 
 23.93 
 
 Si0 2 
 23.60 
 
 H 2 
 1.41 
 
 t 
 
 0.73 
 
 1.82 
 
 24.36 
 
 23.38 
 
 1.06 
 
 0.72 
 
 0.73 
 
 1.82 
 
 24.20 
 
 23.60 
 
 1.25 
 
 0.84 
 
 0.81 
 
 1.79 
 
 24.64 
 
 23.29 
 
 1.21 
 
 0.98 
 
 0.81 
 
 1.79 
 
 24.82 
 
 23.50 
 
 1.17 
 
 1.10 
 
 <f> Unattacked by caustic soda or sodium carbonate. 
 
172 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 The experiments from which these results were obtained are shown 
 in the following Table : 
 
 Nature of Treatment 
 
 Dissolved out of granu- 
 lated slags 
 
 Dissolved out of ungranu- 
 lated slags 
 
 iSiO, 
 
 % 
 
 Al,0, 
 
 % 
 
 Mol. SiO, 
 to 1 Mol. 
 Al,0, 
 
 SiO, 
 
 % 
 
 A1,0 S 
 
 % 
 
 Mol. SiO, 
 to 1 Mol. 
 Al,0, 
 
 I. Boiled for 2 hrs. with 30 per cent caustic f 
 soda solution \ 
 
 6.93 
 6.93 
 
 1.09 
 
 0.88 
 
 2.30 
 2.12 
 
 1.92 
 1.80 
 
 3.53 
 3.00 
 3.52 
 
 3.52 
 
 1.26 
 1.15 
 
 1.19 
 1.14 
 
 5.94 
 
 2.57 
 2.33 
 
 3.43 
 3.53 
 
 2.63 
 
 2.74 
 
 4.12 
 4.81 
 4.91 
 
 4.40 
 
 1.9 
 
 0.72 
 0.40 
 
 1.15 
 1.03 
 
 1.25 
 1.13 
 
 1.47 
 1.08 
 1.23 
 
 1.37 
 
 7.25 
 7.25 
 
 1.76 
 1.48 
 
 2.68 
 
 2.87 
 
 2.49 
 2.74 
 
 4.25 
 4.46 
 4.46 
 
 4.40 
 
 4.68 
 4.70 
 
 5.06 
 5.08 
 
 6.39 
 6.34 
 
 0.15 
 0.17 
 
 0.13 
 0.15 
 
 0.12 
 0.11 
 
 0.31 
 
 0.28 
 
 1.91 
 1.91 
 
 II. Boiled for 2 hrs. wfth 10 per cent caustic/ 
 soda solution . \ 
 
 III. Digested for 6 hrs. on a water bath/ 
 with 10 per cent caustic soda solution \ 
 
 IV. Boiled for 2 hrs. with 5 per cent caustic/ 
 soda solution \ 
 
 V. Digested for 6 hrs. on a water bath] 
 with 5 per cent caustic soda solution 1 
 
 > >j ft 
 VI. Boiled for 2 hrs. with 5 per cent sodium/ 
 
 VII. Heated for 6 hrs. on a water bath with f 
 5 per cent sodium carbonate solution \ 
 
 It will be observed that a 30 per cent, solution of caustic soda 
 attacks both kinds of slag so strongly as to resemble the effect of 
 fusing them with soda. For this reason no importance should be 
 attached to the fact that rather more is dissolved from the ungranulated 
 slag than from the other. The relative behaviour of both slags towards 
 10 per cent, caustic soda solution should be noted, especially the fact 
 that the granulated slag is the more soluble of the two. On comparing 
 the structural formulae of the two slags 
 
 3=<(siJAl|Al|Si V3-CaS 
 
 Granulated Slag. 
 
 Ungranulated Slag. 
 
 CaS. 
 
THE HARDENING OF PORTLAND CEMENTS 173 
 
 this difference is easily understood. Through the combination of a 
 large number of cement molecules to form a combined molecule 
 the strength of the bonds of the alumina in the ungranulated slags 
 is greatly reduced. 
 
 On the other hand, it appears as if the combination of several 
 silicate molecules, to form a single large one, weakens the bond in the 
 pentites ; otherwise, no explanation can be given for ungranulated 
 slags giving up 4 to 5 times as much silica to sodium carbonate solution 
 as do granulated slags. 
 
 (c) A New Theory of Hardening 
 
 Various theories of hardening are stated briefly in the Bibli- 
 ography. 3059 - None of them are entirely satisfactory, hence the need 
 for a fresh hypothesis based on the hexite-pentite theory. 
 
 In the following formulae is shown the composition of various 
 hydrated hexites, derived from one which is capable of taking up 
 hydroxyl progressively, i.e. at different intervals of time : 
 
 I I I ii 
 
 _/\ _/\_ _X\_ _/\_ 
 
 IxF fxl 
 
 6XO a H 2 O'6X0 2 2H 2 0'6X0 2 
 
 I I I II 
 
 3H 2 0'6XOj 4H 2 O*6XO 2 5H 2 O'6XO 2 6H 2 O-6X0 2 
 
 d e f g 
 
 The conversion of a into 6, b into c, c into d, and so on, is accom- 
 panied by an increase in the volume of the molecules concerned, so 
 that the molecular volume of b is greater than that of a ; that of c is 
 greater than that of 6, and the compound g has the largest molecular 
 volume of the whole series. 
 
 In converting the compound a into b, b into c, and so on, the 
 separate molecules in each group take up definite positions relative 
 to each other, so that between b, c, d, e, etc., definite attractive, or 
 more correctly molecular, forces are bound to exist. 
 
 Assuming the molecules to be in the form of minute spheres, the 
 last statement may be expressed graphically by the following diagrams : 
 
 b Molecules c Molecules d Molecules 
 
 Each addition to the molecule of water in the form of hydroxyl 
 groups, 305b with a corresponding increase in the size of the molecule, is 
 termed a hydration phase. It is clear that any substance which is sub- 
 mitted to a sufficient number of hydration phases must set and harden, 
 because with the increase in the molecular volume the space between 
 the various molecules must diminish and their mutual attraction or 
 molecular force must correspondingly increase. Hence, every substance 
 
174 CONSEQUENCES OF THE H.R THEORY 
 
 which can take up water progressively, i.e. which can undergo a series of 
 hydration phases, must be a hydraulite (see footnote p. 153). 
 
 Experience has shown that if the first hydration phases follow each 
 other rapidly, either no hardening occurs or what little hardening 
 takes place is very feeble. 
 
 These facts may be explained in accordance with the new theory, 
 by stating that if the hydration phases follow each other rapidly, the 
 spaces between the molecules are too large, or at any rate much larger 
 than when the hydration occurs more slowly. If this explanation is 
 correct, it should be possible to treat substances which hydrate rapidly 
 and do not harden in such a manner (as by applying pressure) that the 
 molecules are brought nearer together. The facts prove that when this 
 is done, the substance sets and hardens, thus fully confirming the 
 theory. Quicklime is a typical example of a material with rapid 
 hydration phases, and when it is slaked it falls completely to powder 
 with a considerable development of heat and the evolution of clouds of 
 steam. According to Knapp 306 , however, very finely ground quicklime 
 when mixed with water in a suitable, tightly closed vessel produces, 
 after several hours, a material which is harder than ordinary black- 
 board chalk. 
 
 From the foregoing statements, the following conditions and 
 characteristics of good hydraulites may be deduced : 
 
 1. The earlier hydration phases must occur at sufficiently long 
 intervals. 
 
 2. The material must undergo a large number of hydration phases. 
 Of several substances, under similar conditions, the one which under- 
 goes the most hydration phases will eventually be the hardest and 
 the most dense. 
 
 3. The smaller the distance between the molecules of a hydraulite 
 during the first hydration phases, the harder and denser will be the 
 mass produced. 
 
 The New Theory of Hardening and the Facts 
 
 I. According to this theory, setting must be prevented if the 
 particles of hydraulite are too far apart, as when too much water is 
 used. 307 An excess of water may also bring about too rapid an 
 addition of OH-groups and this, according to the new theory, must 
 have a detrimental effect. 
 
 II. It also follows from the theory that the smallness of the hydrau- 
 lite particles must play a special part in setting and hardening. 
 The smaller the particles the easier and more rapid will be the 
 hydration ; the larger the particles the more difficult will it be to 
 hydrate them. A definite degree of fineness is, therefore, an essential 
 condition of hydration, and it is theoretically, as well as practically, 
 necessary to regulate the intervals of time between the hydration 
 phases (i.e. the rate of combination with water) by means of the fine- 
 ness of the particles of cement. 
 
THE HARDENING OF PORTLAND CEMENTS 175 
 
 III. According to Knapp 308 , anhydrous magnesia (prepared by 
 calcining magnesium chloride) absorbs water with no development of 
 heat and with extreme slowness, a stony mass is produced with a hard- 
 ness somewhat greater than that of marble. The lighter, more porous 
 magnesia (obtained from the hydrous carbonate) combines rapidly 
 with water and finally forms a porous, talc-like mass. 
 
 Richter 309 maintained finely powdered, anhydrous calcium nitrate 
 at a white heat for six hours in a platinum crucible and obtained a 
 vitrified porcelain-like mass, with a clearly defined crystalline texture 
 on the fractured surface. When ground with water this crystalline 
 CaO sets like cement. If the lime is insufficiently heated it is found to 
 crack badly on cooling. 
 
 Allen and Shepherd 737 state that only large pieces of fused lime are 
 indifferent to water, and that finely powdered, fused lime does 
 not differ from ordinary quicklime. This " fact," which requires con- 
 firmation as it contradicts the results of Richter's investigations, is used 
 by Allen and Shepherd as evidence against the H.P. theory. These 
 critics consider that the reduced reacting power of the burned material 
 is not due to polymerisation, but to the size of the pieces, i.e. to the 
 surface area. If this were really the case, calcium aluminosilicates 
 (cements) must behave exactly the same when burned hard or soft, 
 provided that the material is ground to the same degree of fineness 
 in both cases. Direct experiments show, however, that this is not the 
 case. 
 
 These interesting instances of isomeric lime and magnesia are 
 readily understood in the light of the authors' theory ; both the MgO 
 from magnesium chloride and the crystalline CaO are polymerisation 
 products which have hydration phases like the hydraulites and harden 
 in a similar manner. 
 
 According to the authors' theory, the cause of disintegration in 
 some materials is due to hydration phases following each other too 
 rapidly, owing to the material not having been properly burned. In 
 this connection it must be admitted that disintegration may also be 
 due to other causes. 
 
 For instance, Michaelis 310 attributes the cracking or " expansion " 
 of cements to a subsequent increase in volume, this being due to three 
 causes : first and foremost to a high percentage of lime, second to the 
 presence of calcium sulphate, and, finally, to irregular particles and 
 coarse grains in the cement. 
 
 That too high a percentage of lime may bring about the destruction 
 of the mass is a simple inference from the authors' theory, as lime and 
 alkalies effect an intense and rapid hydration, and a sufficiently large 
 proportion of lime will cause the hydration phases to follow each other 
 very rapidly. 
 
 An irregular distribution of coarse and fine grains in the cement, 
 resulting in disintegration, may be explained in terms of the authors' 
 theory because, as already mentioned, a fine powder is hydrated more 
 
176 CONSEQUEiNCES OF THE H.P. THEORY 
 
 rapidly than a coarser one and forces differing in intensity are thereby 
 set to work in various portions of the material, with the result that the 
 latter is broken up. 
 
 The harmful effect of gypsum or plaster of Paris in silicate cements 
 is described later. 
 
 IV. Quartz crushed to an impalpable powder and then levigated, 
 will not form a hard mass with lime and water. 311 Opal, similarly 
 treated, hardens slowly, but well. Calcined silica, such as that obtained 
 in silicate analyses, when mixed with lime, hardens rapidly but badly. 
 
 According to the authors' theory, lime effects a hydration of the 
 opal and calcined silica, so that they harden ; but, as lime does not 
 behave in this way towards quartz, with the last-named substance no 
 hardening occurs. 
 
 According to Winkler 312 , if a mixture of three parts of quartz and 
 one part of lime is strongly heated and the sintered mass is then 
 crushed with six times its weight of lime and a suitable quantity of 
 water, the mass hardens slowly and strongly. It is clear that in this 
 case a series of hydration phases occurs at long intervals. 
 
 V. The authors' dynamisation theory also explains why it is 
 necessary for most silicates to be heated to redness before they will 
 harden in water (like Portland cements), or with lime and water (like 
 puzzolans). In the case of clays it has already been shown that, on 
 heating them to redness, or on causing them to combine with a base, 
 the bond between the hexites or pentites of silicon and aluminium is 
 weakened, and, for this reason, such silicates precipitate gelatinous 
 silica when treated with dilute acids. 
 
 The authors' theory agrees with the discovery of Fuchs that only 
 those silicates harden which contain " soluble silica," with the one 
 difference that the " soluble silica " plays absolutely no part in the 
 hardening process. 
 
 Different silicates must be heated 314 to very different temperatures 
 or for various periods before they will harden with lime and water. 
 For some of them a short heating to redness is sufficient ; others must 
 be strongly heated for a considerable time, and others must be almost 
 melted. According to Fuchs, the following substances harden with 
 lime and water after they have been sufficiently heated at a suitable 
 temperature : felspars, leucite, various magnesium silicates such as 
 talc and steatite, analcime, natrolite, clays, etc. All these silicates 
 harden because the heating and subsequent treatment with lime and 
 water produce hydration phases in the manner already explained. 
 
 The cause of the hardening of " trass " and " puzzolans " with lime 
 and water may be explained in an analogous manner. The trasses and 
 puzzolans are simply clays, and only differ from ordinary clays in the 
 alterations they have undergone in consequence of volcanic action. 
 In the course of time these substances may again lose their free 
 secondary valencies. Such trasses or puzzolans are improved by being 
 heated to redness. 
 
THE HARDENING OF PORTLAND CEMENTS 
 
 177 
 
 A considerable number of hydraulites of the most widely different 
 composition have already been prepared. Thus, various aluminates, 
 ferrites, ferromanganese oxides and silicates, borates, calcium sul- 
 phates, etc., have marked hydraulic properties. A further study of the 
 hardening of these compounds must eventually lead to the proof of 
 the existence of hydration phases. 
 
 VI. The Causes of Hardening of Portland Cements. If a definite 
 silicate cement is selected, e.g. the compound 
 
 4= 
 
 Si Al Al Si 
 
 the following substances may be formed from it : 
 
 -f 2 Ca(OH), 
 
 (2) 
 
 +4 Ca(OH) 2 
 
 etc. etc. 
 
 If the hydration occurs as indicated in the above formulae at definite 
 intervals and with a definite increase in volume, hydraulites are pro- 
 duced in accordance with the authors' theory. The absorption of 
 water does actually occur in this manner, as will be explained in the 
 next chapter ; Zulkowski 315 has experimentally proved the increase in 
 volume. He treated ground slag with water, and obtained a flocculent 
 
178 CONSEQUENCES OF THE H.P. THEORY 
 
 mass and a deposit of a sandy nature. The volume of the deposit 
 increased in process of time. The microscopical appearance of this 
 ground slag after treatment with water differed but little from that of 
 the dry (untreated) material. 
 
 The action of alkaline fluids was much more energetic. The volume 
 of the deposit was three to five times that of the original slag-powder. 
 Under the microscope the appearanceof the material gradually changes, 
 and after several months the original, small, glassy grains were no 
 longer observable, their place being taken by much larger, irregular 
 rounded grains or masses. 
 
 In the case of Portland cement, water alone will effect a change in 
 shape similar to that which occurs with slag-meal and alkaline solu- 
 tions. Zulkowski was the first to point out these changes in shape 
 and volume in the case of silicate cements, and in these changes he 
 saw the true cause of the hardening of hydraulic materials. The 
 hardening itself he explains as follows : " The cement grains which, at 
 the commencement, lie over and amongst each other and without any 
 definite relationship to each other, combine chemically with the water 
 present in the pores ; from them is produced a new substance, a 
 hydrosilicate, the material thereby changing its shape and increasing in 
 volume. The particles which expand in this manner occupy all the 
 available space, lie closely together, increase continually in volume, 
 and eventually convert the whole of the original loose particles into a 
 compact mass." 
 
 [W. Michaelis (Chem. Zeit., 1893, 17, 982) has suggested that hardening is mainly 
 due to the formation of a colloidal calcium hydrosilicate. According to Desch 709 , 
 " this theory so well explains the phenomena observed and is in such good accordance 
 with the results of microscopical investigation of cements during and after setting 
 that it must be held to contain the greater part of the truth." Desch further adds 
 that " the course of events when Portland cement is mixed with water may be described 
 as follows : The essential hydraulic constituent is alite, which is a solid solution of 
 three components. The action of the water is, at first, confined to the alite, which 
 is partly decomposed, the aluminates being first hydrolysed. The solution thus pro- 
 duced is supersaturated and soon deposits tricalcium aluminate partly in colloidal 
 form and partly in crystals, according to the amount of water in the mixture, a larger 
 proportion of water favouring crystals and a smaller one the formation of a gel. The 
 excess of lime remains in solution or a part may be deposited as crystals of calcium 
 hydroxide. This corresponds to the ' initial set.' 
 
 " The action of the water on the calcium silicate contained in the alite is much 
 slower, and when hydrolysis occurs the calcium silicate is separated in colloidal form. 
 The gel produced forms a coating round the particles and prevents further action. 
 The colloidal matter is easily seen in a polished and etched specimen, and its definitely 
 colloidal nature may be shown by immersion in a dye such as eosin. Colloidal sub- 
 stances adsorb dyes, but crystals do not do so." 
 
 Desch attributes the hardening of cement which has been hardened and re-ground 
 to the large proportion of non-hydrated matter present in all cements, owing to the 
 slowness of the hydration. 
 
 The suggestion of W. Michaelis that the hardening of cements is due to their 
 colloidal nature cannot per se be regarded as of more than limited value, even when 
 supported by the statement of C. Desch that it " is in such good accordance with the 
 results of microscopical investigation." It does not coincide with the results of 
 Feichtinger's studies of hydration, given on another page, nor with the thermal in- 
 vestigations of Oswald and the multitude of facts which have been published in 
 support of various other theories, and is therefore inapplicable to any general theory 
 relative to cements. There is an analogy between the action of water on cements 
 and on colloids, as has been pointed out on a previous page, and any theory (if 
 
FORMULA OF PORTLAND CEMENTS 
 
 179 
 
 correct) must therefore be capable of extension to organic cements in which hydrosols 
 are converted into hydrogels, forming cementitious substances, just as inorganic 
 cements pass through definite hydration phases into stone-like masses. 
 
 Bone-substance, which is essentially a highly basic calcium carbo-phosphate 
 (p. 271), is probably derived from an organic cement whose hardening phases are 
 analogous to those of Portland cement.] 
 
 The Consequences of the New Theory of Portland Cement 
 and the Facts 
 
 From the foregoing theory of the chemical constitution of the 
 Portland cements and the corresponding hardening theory, a series of 
 interesting consequences may be inferred, the value of which may be 
 proved by means of the experimental material available. 
 
 From the theory it follows that the calculation of the formulae 
 of Portland cements from their analyses must lead to compounds, the 
 existence of which is theoretically possible. The calculation of the 
 formulae from a series of cement analyses fully confirms this conse- 
 quence of the theory ; the high content of bases is particularly notice- 
 able in some analyses. Whether the whole of the base is in actual 
 combination is doubtful ; further investigations are needed to decide 
 it. 
 
 The formulae calculated from cement analyses (see Appendix) are 
 shown in the following Tables : 
 
 (a) n MO 3 R 2 O 3 - 12 Si0 2 - 2. 
 
 
 Al,0, 
 
 Fe,0, 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,O 
 
 SO, 
 
 CO, 
 
 H,0 
 
 I. 24 MO 3 R 2 3 12 SiO 2 2 
 
 1.50 
 
 .50 
 
 26.00 
 
 1.00 
 
 0.25 
 
 0.25 
 
 0.5 
 
 3 
 
 2 
 
 II. 34 MO 3 R 2 3 12 SiO 2 
 
 2.00 
 
 .00 
 
 34.00 
 
 
 
 
 
 
 
 
 
 
 
 
 
 III. 35 MO 3 R 2 3 12 SiO 2 
 
 2.00 
 
 .00 
 
 35.00 
 
 
 
 
 
 
 
 
 
 
 
 
 
 k IV. 36 MO 3 R 2 3 12 SiO 2 2 
 
 2.00 
 
 .00 
 
 36.00 
 
 0.50 
 
 
 
 
 0.5 
 
 
 
 
 
 V. 37 MO 3 R 2 O 3 12 SiO 2 2 
 
 2.00 
 
 .00 
 
 36.00 
 
 1.50 
 
 
 
 
 0.5 
 
 
 
 
 
 VI. 37 MO 3 R 2 O 3 12 SiO 2 S 
 
 2.00 
 
 .00 
 
 36.25 
 
 1.25 
 
 
 
 
 
 0.5 
 
 
 
 
 
 VII. 37 MO 3 R 2 O 3 12 SiO 2 S 
 
 2.25 
 
 0.75 
 
 36.00 
 
 2.00 
 
 
 
 
 
 1.0 
 
 
 
 
 
 VIII. 38 MO 3 R 2 O 3 12 SiO 2 S 
 
 2.25 
 
 0.75 
 
 38.00 
 
 0.50 
 
 
 
 
 
 0.5 
 
 
 
 
 
 IX. 39 MO 3 R 2 O 3 12 SiO 2 S 
 
 2.00 
 
 1.00 
 
 38.25 
 
 1.25 
 
 
 
 
 
 0.5 
 
 
 
 
 
 X. 39 MO 3 R 2 O 3 12 SiO 2 2 
 
 2.50 
 
 0.50 
 
 39.00 
 
 1.00 
 
 
 
 
 
 1.0 
 
 
 
 
 
 (b) n MO 3 R 2 3 10 Si0 2 . 
 
 
 Al,0, 
 
 Fe,0, 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 SO, 
 
 CO, 
 
 H,0 
 
 XI. 29 MO 3 R 2 8 - 10 SiO 2 
 XII. 34 MO 3 R 2 O 3 10 SiO 2 
 XIII. 35 MO 3 R 2 O 3 10 SiO 2 
 
 3.00 
 2.25 
 2.25 
 
 0.75 
 0.75 
 
 29.0 
 31.5 
 32.5 
 
 2.5 
 1.5 
 
 0.5 
 
 0.5 
 
 _ __ 
 
 
 
 2 
 
 (c) n MO 3 R 2 O 3 18 Si0 2 
 
 . v 
 j. 
 
 |lAl,0, 
 
 Fe,0, 
 
 CaO 
 
 MgO K,O 
 
 Na,0 
 
 SO, 
 
 CO, 
 
 H,0 
 
 XIV. 52 MO 3 R 2 O 3 18 SiO 2 
 XV. 54 MO 3 R 2 O 3 18 SiO 2 S 
 
 2.25 
 
 3.00 
 0.75 
 
 52.00 
 53.75 
 
 1.25 
 
 ___ 
 
 1 
 
 __ 
 
 ___ 
 
180 CONSEQUENCES OF THE H.P. THEORY 
 
 (d) n MO 3 R 2 3 15 SiO 2 2. 
 
 
 Al a O, 
 
 Fe,0, 
 
 CaO 
 
 MgO 
 
 K t o 
 
 Na,O 
 
 SO, 
 
 co, |H,O 
 
 XVI. 20 MO 3 B 2 O 3 15 SiO 2 S 
 
 2.00 
 
 1.00 
 
 22.0 
 
 1.0 
 
 0.25 
 
 0.25 
 
 0.50) 3.0 
 
 1 
 
 XVII. 21 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.00 
 
 1.00 
 
 22.0 
 
 0.5 
 
 
 
 
 
 0.50 
 
 1.0 
 
 2 
 
 XVIII. 21 MO 3 R 2 3 15 SiO 2 S 
 
 2.00 
 
 1.00 
 
 22.5 
 
 1.0 
 
 0.25 
 
 0.25 
 
 0.50 
 
 2.5 
 
 1 
 
 XIX. 22 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.00 
 
 1.00 
 
 22.0 
 
 0.5 
 
 0.25 
 
 0.25 
 
 0.50 
 
 0.5 
 
 2 
 
 XX. 24 MO 3 R 2 O 3 15 SiO 2 - S 
 
 1.50 
 
 1.50 
 
 26.5 
 
 .5 
 
 
 
 0.25 
 
 0.25 
 
 4.0 
 
 2 
 
 XXI. 25 MO 3 R 2 O 3 15 SiO 2 S 
 
 1.50 
 
 1.50 
 
 27.0 
 
 1.5 
 
 0.25 
 
 0.25 
 
 
 
 4.0 
 
 2 
 
 XXII. 39 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.50 
 
 0.50 
 
 36.0 
 
 2.5 
 
 0.50 
 
 0.50 
 
 1.00 
 
 O.SMnO 
 
 
 XXIII. 42 MO 3 R 2 O S 15 SiO 3 S 
 
 2.00 
 
 1.00 
 
 42.5 
 
 .5 
 
 0.50 
 
 0.50 
 
 0.50 
 
 2.5 
 
 2 
 
 XXIV. 45 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.50 
 
 0.50 
 
 45.0 
 
 .0 
 
 
 
 
 
 1.00 
 
 
 
 
 
 XXV. 45 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.25 
 
 0.75 
 
 44.0 
 
 1.0 
 
 0.25 
 
 0.75 
 
 1.00 
 
 
 
 
 
 XXVI. 46 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.25 
 
 0.75 
 
 45.5 
 
 .0 
 
 
 
 
 
 0.50 
 
 
 
 
 
 XXVII. 46 MO 3 R 2 O 3 15 SiO 2 S 
 
 2.25 
 
 0.75 
 
 46.0 
 
 .0 
 
 
 
 
 
 1.00 
 
 
 
 
 
 (e) n MO - 6 R 2 3 12 SiO 2 2. 
 
 
 A1,O, 
 
 Fe,0, 
 
 \C&0 
 
 MgO 
 
 K,0 
 
 Na,o| 
 
 SO, 
 
 CO, H,0 
 
 XXVIII. 
 
 92 MO- 
 
 6 R 2 3 
 
 12 SiO 2 2 | 5 
 
 1 
 
 I 89 
 
 6 
 
 -1- 1 
 
 
 
 3 |10 
 
 (f) n MO - 6 R 2 O 3 18 Si0 2 2. 
 
 Fe,0, | CaO | MgO | K,O |Na,O | SO, CO, 
 
 XXIX. 38 MO - 6 R 2 O 3 18 SiO 2 S 
 
 3.5 
 
 2.5 
 
 40.0 
 
 _ 
 
 
 
 0.5 
 
 0.5 
 
 2 
 
 2 
 
 XXX. 39 MO 6 R 2 O 3 18 SiO 2 S 
 
 3.5 
 
 2.5 
 
 40.5 
 
 0.5 
 
 
 
 0.5 
 
 0.5 
 
 2 
 
 2 
 
 XXXI. 74 MO 6 R 2 O 3 - 18 SiO 2 S 
 
 5.0 
 
 1.0 
 
 71.0 
 
 6.0 
 
 
 
 
 
 
 
 3 
 
 8 
 
 XXXII. 76 MO 6 R 2 O 3 18 SiO 2 S 
 
 5.0 
 
 1.0 
 
 72.0 
 
 5.0 
 
 
 
 
 
 
 
 1 
 
 4 
 
 XXXIII. 90 MO 6 R 2 O 3 18 SiO 2 S 
 
 5.0 
 
 1.0 
 
 86.0 
 
 8.0 
 
 
 
 
 
 
 
 4 
 
 10 
 
 (g) n MO 6 R 2 3 16 Si0 
 
 Fe,0, CaO MgO K,O Na,O SO, CO, 
 
 XXXIV. 36MO-6R 2 3 -16Si0 2 -2 
 
 6 
 
 
 
 35.50 
 
 3.50 
 
 
 
 
 
 1,0 
 
 2.00 
 
 30 
 
 
 
 
 
 XXXV. 38MO-6R 2 3 -16Si0 2 -2 
 
 6 
 
 
 
 35.75 
 
 3.25 
 
 0.50 
 
 0.50 
 
 1.5 
 
 1.50 
 
 36 
 
 0.5 
 
 0.5 
 
 XXXVI. 39MO-6R 2 3 -16Si0 2 -2 
 
 6 
 
 
 
 34.00 
 
 3.00 
 
 1.00 
 
 1.00 
 
 1.0 
 
 
 
 
 
 0.5 
 
 0.5 
 
 XXXVII. 39MO-6R 2 3 -16Si0 2 -2 
 
 6 
 
 
 
 35.75 
 
 3.25J 0.50 
 
 1.00 
 
 1.5 
 
 1.00 
 
 30 
 
 0.5 
 
 0.5 
 
 XXXVIII. 40MO-6R 2 3 -16Si0 2 -S 
 
 6 
 
 
 
 34.75 
 
 3.25 0.75 
 
 1.00 
 
 0.5 
 
 0.25 
 
 
 
 0.5 
 
 0.5 
 
 (h) n MO 5 R 2 O 3 18 SiO 2 . 2. 
 
 Al,0, | Fe,0, | CaO JMgO | K,O [N%0 j SO, | CO, |H,O 
 
 XXXIX. 44 MO 5 R 2 3 18 SiO, S 
 XL. 50 MO 5 R 2 O 3 18 SiO 2 S 
 
 3.5 
 4.0 
 
 1.5 
 1.0 
 
 44.5 
 50.0 
 
 1.0 
 1.0 
 
 0.5 
 
 1.5 
 
 0.5 
 1.0 
 
 o 
 
 2.5 
 
 (i) n MO R 2 3 12 Si0 2 . 
 
 Al,0, Fe,0 s CaO MgO K,O Na,O SO, CO, H,O 
 
 XLI. 30 MO - R 2 3 12 SiO 2 
 
 0.75 
 
 0.25 
 
 29.5 
 
 0.5 
 
 
 
 
 
 
 
 
 
 
 
 XLII. 32 MO R 2 3 - 12 SiO 2 
 
 0.75 
 
 0.25 
 
 32.0 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLIII. 34 MO R 2 O 3 12 SiO 2 
 
 1.00 
 
 
 
 33.5 
 
 0.5 
 
 
 
 
 
 
 
 
 
 
 
 XLIV. 39 MO R 2 O 3 - 12 SiO 2 
 
 1.00 
 
 
 
 39.0 
 
 
 
 
 
 
 
 
 
 
 
 
 
 The water which enters into combination must, in any case, be 
 capable of representation by stoichiometrical figures, i.e. in molecules. 
 That this can be done is seen from the following examples : 
 
HYDRATION OF PORTLAND CEMENTS 
 
 181 
 
 I. Von Teicheck 316 has studied the hydration of a Portland cement 
 of the formula 
 
 45 MO 3 R 2 3 
 
 15 SKX 
 
 / 45 MO = 44 CaO 1 MgO, 
 
 \ 3 Ra o 3 = 2.25 A1 2 3 0.75 Fe 2 3 , 
 
 R;0= 0,75 Na 2 0.25 K 2 
 (see Appendix, Analysis XXV). 
 
 Al 
 
 5V ^ 5 
 
 After 21 or 30 days 14-44 per cent, of hydration-water was found, 
 which, according to theory, represents the addition of 36 mols. of water, 
 as shown in the following equation : 
 
 45 MO 3 R 2 3 15 Si0 2 R' 2 SO 4 + 36 H 2 O 
 = 18 MO 9 H 2 3 R 2 O 3 15 SiO 2 + 27 M(OH) 2 -f R 2 S0 4 
 
 In this case, the chief products of the reaction may be represented 
 by: 
 
 (1) 
 (1) 
 
 4- 27 M(OH) 2 
 
 The percentage of water represented by the above formula is 14*21, 
 which is in sufficiently close agreement with that found by experiment. 
 
 II. Zulkowski 317 produced a cement by burning, at a white heat in 
 a Seger furnace, a mixture of lime and Zettlitzer kaolin, the latter 
 having a composition corresponding to A1 2 O 3 2Si0 2 2H 2 O. His 
 results suggest one of the two following formulae for the cement he 
 prepared : 
 
 4= 
 
 4= 
 
 5 5 
 
 II II 
 
 '\/V\/\ =4 o 
 
 Si|Al|Al Si' 
 
 \/\/\/\/ 
 
 II II 
 
 5 5 
 
 36 CaO - 6 A1 2 O 3 12 SiO 
 
 !=4 C 
 
 or 
 
 I AI| si |_; 
 \/y- 
 
 4 
 36 CaO 6 A1 2 3 12 SiO 
 
182 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 Zulkowski studied the hydration of this compound by reducing it 
 to a powder, mixing it with water and forming balls ; these set when 
 warmed gently for a quarter of an hour and became quite hard after 
 one and half hours. These balls were then placed in water and were 
 found to have become much harder after the lapse of several months. 
 
 Zulkowski also found that a given cement after 7 days contained 
 16-19% and after 30 days 17-05% of hydration- water. According to 
 theory, 36 mols. of water should enter into combination according to the 
 following equation : 
 
 36 CaO 6 A1 2 3 12 Si0 2 + 36 H 2 
 
 H0(l) 
 OH /\/\/\/\ OH 
 
 (1) 
 
 28 Ca(OH) 2 * 
 
 (1)OH H0(l) 
 
 The value 16-19% calculated from this formula agrees sufficiently 
 well with the amount found by experiment. 
 
 C 
 
 The hydration of cements must take place very gradually. In 
 determining the amount of water entering into combination during the 
 hardening it is, therefore, necessary to be able to trace a gradual 
 increase in the proportion of water in the material. This is confirmed 
 by the results of a series of hydration experiments by Feichtinger 319 , 
 who studied the behaviour, towards water, of the following hydraulic 
 materials : 
 
 3=< Si 
 
 3= 
 
 ^ 
 
 2 3 
 
 21 MO 3 R 2 3 - 15 Si0 2 2f 22 CaO 3 R 2 O 3 15 Si0 2 2J 
 
 (Analysis XVIII, Appendix) (Analysis XIX, Appendix) 
 
 1 (B) 2 (c) 
 
 * 4000.8 gms. of the hardened cement mass contain 18x36 = 648 gms. water or 
 
 4000 8 =16>19 per cent * water - 
 
 t 2=2.5 R'COs + 0.5 R 2 SO 4 +H 2 O. 
 j 2=0.5 MgCOs + 0.5 R 2 SO 4 + 2 H 2 O. 
 
HYDRATION OF PORTLAND CEMENTS 183 
 
 4 4 3 3 
 
 Si Al Si Al Si go -2 
 
 4 4 4 
 
 44 CaO 5 R 2 3 18 Si0 2 2* 26 CaO 6 R 2 3 18 SiO 2 -2f 
 
 (Analysis XXXIX, Appendix) (Analysis XXX, Appendix) 
 
 3 (A) 4 (D) 
 
 Samples B, C and D were Bavarian hydraulic limes, obtained by 
 burning marl ; A was a Portland cement. The sample D con- 
 tained 13 mols. free lime (as shown by Feichtinger's experiments), 
 but in the other silicates the whole of the lime was in a combined 
 state. 
 
 The hydration experiments were carried out as follows : a small 
 quantity of cement was placed in a suitable vessel and weighed accu- 
 rately. It was then mixed with a little water and was afterwards 
 immersed in water. To determine the amount of water which had 
 entered into combination, the samples were dried at 100 C. and the 
 increase in weight was attributed to the combined water. 
 
 Calcium hydrate only loses all its water at a red heat ; at 300 C. 
 only a portion of it is removed. According to Feichtinger, the silicate- 
 water is also driven off at this temperature. By determining the 
 proportion of water evolved at 300 C. and deducting it from the 
 total combined water, the difference shows the proportion of water in 
 combination with the lime. 
 
 The following Tables which are based on Feichtinger's researches 
 show the manner in which the water was evolved. 
 
 In Table I : 
 
 <7=the total weight of water which combines with 100 parts of 
 cement in time t. 
 
 s=the weight of water which is evolved at a red heat from 
 100 parts of the mixture of cement and water at 300 C, i.e. 
 water combined with the silicate. 
 
 g s= the weight of water which is evolved at red heat from 
 100 parts of the mixture of cement and water, i.e. water com- 
 bined with lime as Ca(OH) 2 . 
 
 * 2=1.5 R"CO 3 +1.5 R 2 CO 3 +0.5 R 2 SO 4 +2.5 H 8 O. 
 t 2=2 R*CO 3 +0.5 Na 2 SO 4 +13 CaO + 2 H 2 O. 
 
184 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 Table I 
 
 
 
 1(B) 
 
 
 
 2(C) 
 
 
 
 MA) 
 
 
 ( 
 
 4)D 
 
 
 t 
 
 g 
 
 s 
 
 gs 
 
 9 
 
 8 
 
 9 s 
 
 9 
 
 8 
 
 9 8 
 
 9 
 
 8 
 
 9 * 
 
 Immediately 
 
 
 
 
 
 
 
 
 
 
 
 
 
 after mixing 
 
 
 
 
 
 
 
 
 
 
 
 
 
 with water. 
 
 1.28 
 
 1.28 
 
 
 
 0.61 
 
 0.61 
 
 
 
 0.99 
 
 0.99 
 
 
 
 6.79 
 
 1.40 
 
 5.39 
 
 After 4 hrs. 
 
 1.67 
 
 1.67 
 
 
 
 0.71 
 
 0.71 
 
 
 
 1.41 
 
 1.41 
 
 
 
 7.80 
 
 2.42 
 
 5.38 
 
 , 20 
 
 2.08 
 
 2.08 
 
 
 
 1.14 
 
 1.14 
 
 
 
 2.29 
 
 1.60 
 
 0.69 
 
 8.26 
 
 3.08 
 
 5.18 
 
 , 3 days 
 
 3.42 
 
 3.42 
 
 
 
 1.82 
 
 1.82 
 
 
 
 5.62 
 
 3.80 
 
 1.82 
 
 8.87 
 
 3.30 
 
 5.57 
 
 , 7 
 
 3.85 
 
 3.85 
 
 
 
 2.15 
 
 2.15 
 
 
 
 6.58 
 
 4.76 
 
 1.82 
 
 11.20 
 
 4.20 
 
 7.00 
 
 , 14 
 
 4.46 
 
 4.46 
 
 
 
 2.63 
 
 2.63 
 
 
 
 7.96 
 
 5.90 
 
 2.06 
 
 11.80 
 
 4.64 
 
 7.16 
 
 , 18 
 
 5.00 
 
 4.40 
 
 0.60 
 
 2.84 
 
 2.84 
 
 
 
 8.45 
 
 6.20 
 
 2.25 
 
 11.86 
 
 4.60 
 
 7.26 
 
 , 21 
 
 5.84 
 
 4.50 
 
 1.34 
 
 3.46 
 
 3.46 
 
 
 
 8.91 
 
 6.43 
 
 2.48 
 
 12.75 
 
 5.30 
 
 7.45 
 
 , 24 
 
 5.89 
 
 4.42 
 
 1.47 
 
 4.36 
 
 4.36 
 
 
 
 10.40 
 
 6.60 
 
 3.80 
 
 13.68 
 
 5.60 
 
 8.08 
 
 , 28 
 
 6.86 
 
 4.46 
 
 2.40 
 
 4.90 
 
 4.30 
 
 0.60 
 
 10.52 
 
 6.50 
 
 4.02 
 
 13.92 
 
 5.82 
 
 8.10 
 
 , 35 
 
 7.68 
 
 4.52 
 
 3.16 
 
 5.56 
 
 4.25 
 
 1.31 
 
 11.43 
 
 6.63 
 
 4.80 
 
 14.30 
 
 6.18 
 
 8.12 
 
 , 42 
 
 8.30 
 
 4.48 
 
 3.82 
 
 6.20 
 
 4.30 
 
 1.90 
 
 11.35 
 
 6.60 
 
 4.75 
 
 14.68 
 
 6.60 
 
 8.08 
 
 , 49 
 
 8.92 
 
 4.40 
 
 4.52 
 
 7.08 
 
 4.20 
 
 2.88 
 
 11.50 
 
 6.58 
 
 4.92 
 
 14.50 
 
 6.56 
 
 7.94 
 
 , 56 
 
 9.13 
 
 4.46 
 
 4.67 
 
 7.34 
 
 4.25 
 
 3.09 
 
 11.60 
 
 6.64 
 
 4.96 
 
 14.73 
 
 6.60 
 
 8.13 
 
 , 80 
 
 9.50 
 
 4.40 
 
 5.10 
 
 7.40 
 
 4.20 
 
 3.20 
 
 11.56 
 
 6.60 
 
 4.96 
 
 14.65 
 
 6.56 
 
 8.09 
 
 In Table II : 
 
 MJ ^i> M2 an d MS are the molecular weights of the hydraulic 
 
 binding materials. 
 y=the number of molecules of water which combine with /UL, /z 1? 
 
 etc., parts of cement in time t. 
 <r=the amount of water, in gramme-molecules, lost by /x> Mi> e ^ c -> 
 
 parts of the mixture of cement and water at 300, i.e. water 
 
 combined with the silicate. 
 y cr=the number of molecules of water which are only evolved at 
 
 a red heat from/*, Mi> etc -> parts of the mixture of cement and 
 
 water, i.e. water combined with lime as Ca(OH) 2 . 
 
 Table II 
 
 
 M=2777.4 
 
 /ii=2659.4 
 
 /* 2 =4585 
 
 ^3=4327 
 
 
 1 (B) 
 
 2 (C) 
 
 3 (A) 
 
 4(D) 
 
 t 
 
 7 
 
 <r 
 
 7 - G 
 
 7 
 
 <r \y-ff 
 
 7 
 
 ff 
 
 y-ff 
 
 7 I <f 
 
 y-<T 
 
 Immediately 
 
 1 
 
 
 
 
 
 
 
 
 
 
 
 after mixing 
 
 
 
 
 
 
 
 
 
 
 
 
 
 with water. 
 
 1.97 
 
 1.97 
 
 
 
 0.90 
 
 0.90 
 
 
 
 2.50 
 
 2.50 
 
 
 16.30 
 
 3.36 
 
 12.94 
 
 After 4 hrs. 
 
 2.58 
 
 2.58 
 
 
 
 1.04 
 
 1.04 
 
 
 
 3.59 
 
 3.59 
 
 
 18.75 
 
 5.82J 12.93 
 
 20 
 
 3.21 
 
 3.21 
 
 
 
 1.68 
 
 1.68 
 
 
 
 5.97 
 
 4.07 
 
 1.90 
 
 19.86 
 
 7.40 12.46 
 
 3 days 
 
 5.27 
 
 5.27 
 
 
 
 2.69 
 
 2.69 
 
 
 
 14.32 
 
 9.68 
 
 4.64 
 
 21.33 
 
 7.931 13.40 
 
 7 
 
 5.94 
 
 5.94 
 
 
 
 3.17 
 
 3.17 
 
 
 
 16.77 
 
 12.13 
 
 4.64 
 
 26.93 
 
 10.19 
 
 16.74 
 
 14 
 
 6.88 
 
 6.88 
 
 
 
 3.97 
 
 3.97 
 
 
 
 20.28 
 
 15.04 
 
 5.24 
 
 28.37 
 
 11.16117.21 
 
 18 
 
 7.73 
 
 6.79 
 
 0.94 
 
 4.19 
 
 4.19 
 
 
 
 21.53 
 
 15.80 
 
 5.73 
 
 28.51 
 
 11.06 
 
 17.45 
 
 ,, 21 
 
 9.01 
 
 6.94 
 
 2.07 
 
 5.11 
 
 5.11 
 
 
 
 22.70 
 
 16.38 
 
 6.32 
 
 30.65 
 
 12.74 
 
 17.91 
 
 24 
 
 9.08 
 
 6.82 
 
 2.26 
 
 6.44 
 
 6.44 
 
 
 
 26.50 
 
 16.82 
 
 9.68 
 
 32.89 
 
 13.46 19.43 
 
 28 
 
 10.58 
 
 6.88 
 
 3.70 
 
 7.24 
 
 6.35 
 
 0.89 
 
 26.80 
 
 16.95 
 
 9.85 
 
 33.46 
 
 13.99 
 
 19.47 
 
 35 
 
 11.85 
 
 6.97 
 
 4.88 
 
 8.21 
 
 6.28 
 
 1.93 
 
 29.13 
 
 16.89 
 
 12.24 
 
 34.38 
 
 14.85 
 
 19.53 
 
 42 
 
 12.81 
 
 6.91 
 
 5.90 
 
 9.16 
 
 6.35 
 
 2.81 
 
 28.92 
 
 16.82 
 
 12.10 
 
 35.29 
 
 15.87 
 
 19.42 
 
 49 
 
 13.76 
 
 6.79 
 
 6.97 
 
 10.46 
 
 6.20 
 
 4.26 
 
 29.30 
 
 16.77 
 
 12.53 
 
 34.83 
 
 15.77 
 
 19.08 
 
 56 
 
 14.09 
 
 6.88 
 
 7.21 
 
 10.85 
 
 6.28 
 
 4.57 
 
 29.56 
 
 16.92 
 
 12.64 
 
 35.41 
 
 15.87 
 
 19.54 
 
 80 
 
 14.66 
 
 6.79 
 
 7.87 
 
 10.93 
 
 6.20 
 
 4.73 
 
 29.45 
 
 16.82 
 
 12.63 
 
 35.22 
 
 15.77 19.45 
 
HYDRATION OF PORTLAND CEMENTS 185 
 
 These Tables agree with the theory in showing a gradual absorption 
 of water. Thus 1 B, Table II, shows that on mixing the cement and 
 water together only 2 mols. H 2 enter into combination, but that after 
 20 hours 3 mols., and after 18 days 7 mols. of water are combined. A 
 gradual combination of water may also be observed in the case of 
 silicates 2(0), 3(A) and 4(D). 
 
 It should be noticed that, according to Table II, some of the CaO 
 in the materials studied by Feichtinger split off before the silicates 
 had taken up the maximum quantity of water. Thus 1(B) can bind a 
 maximum of 9 mols. of water, but the lime splits off when only 7 mols. 
 (after 18 days) are combined. After 80 days this silicate took up no 
 further quantity of water. A similar result is observable with 2(0), 
 which is analogously constituted. In this case, the lime separates 
 when 6 mols. have entered into combination, but only after 28 days. 
 With Portland cement 3(A) the lime separates after the combination 
 of 4 mols. of water, i.e. after 20 hours. In the compound 4(D) the 
 hydration of the silicate molecule occurs somewhat rapidly, on account 
 of the presence of free lime. After 20 hours the silicate molecule 
 combined with about 7-5 mols. H 2 0. The separation of the lime began 
 only after 3 days, after 8 mols. of water had entered into combination. 
 
 The structural formulae 1(B), 2(0), 3(A) and 4(D) show clearly the 
 reason for the separation of the lime at an earlier stage than is the 
 case with other hydraulites. The larger the basic side-chains the 
 weaker must be the bond of a portion of the lime. The structural 
 formula of Portland cement shows 4- and 5- side-chains, whereas the 
 structural formulae of the other compounds show at most only 2- or 
 3- side-chains. 
 
 The figures 16. 82 and 15.77 molecules of o-water,* which are taken 
 up, after 80 days, from the compounds 3(A) and 4(D), at first appear to 
 be opposed to the authors' theory, as for the latter the maximum is 10 
 mols. a- water (or 11 or 12 mols. if the Al-OH-groups are included). 
 From Feichtinger 's results it is, however, clear that part of the water 
 he regarded as o-water was really in the form of " water of crystallisa- 
 tion." Feichtinger re-heated the cement masses 1(B), 2(C), 3(A) and 
 4(D) to redness and obtained a fresh hydration. These results are 
 shown in Tables III and IV. From Table IV it will be seen that the 
 cements 3(A) and 4(D) give similar results for a-. But, shortly after mix- 
 ing, the cement 3(A) took up 7.49, and cement 4(D) 3.6 mols. of water, so 
 that this portion of the water behaves differently from the remainder. 
 If these amounts are regarded as " water of crystallisation," the 
 remainder (16.82- 7.49=9.33, and 15.77-3.6=12.17) may be termed 
 * 4 water of constitution," i.e. the compound 3(A) has taken 9, and 4(D) 
 about 12 mols. of silicate-water into combination in the form of 
 hydroxyl groups. 
 
 For definition of <r- water sea previous page. 
 
186 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 In silicate cements, such as Portland cement, which are devoid of 
 free lime there can only be one, or at most two forms of water present at 
 the beginning of hydration, viz. silicate-water and " water of crystallis- 
 ation." After a short time a third form of water that in the calcium 
 hydroxide Ca(OH) 2 may be present. If, on the contrary, the cements 
 contain free lime, the calcium hydroxide water is present at first in 
 addition to the silicate-water and the " water of crystallisation " just 
 mentioned. 
 
 These theoretical deductions are confirmed by Feichtinger's results 
 previously mentioned. A glance at Tables I and II will show that 
 Feichtinger found no calcium hydroxide water in cements 1(B), 2(C) 
 and 3(A) (which contain chemically combined lime), but in cement 
 4(D), on the contrary, he found it shortly after the commencement of 
 the hydration. 319 * 
 
 E 
 
 From the hardened masses it must be possible, by burning under 
 certain conditions, to reproduce the original hydraulite with exactly 
 the same hydrating (hardening) properties, so long as water is the sole 
 hardening agent, as was the case in Feichtinger's experiments. 
 
 Several investigators, and particularly Michaelis 320 , have drawn 
 special attention to the possibility of reproducing the original cement 
 powder from the hardened mass. This possibility of regenerating 
 cements is, however, a simple deduction from the results 321 obtained 
 by Feichtinger, who endeavoured to ascertain experimentally whether 
 a hardened cement mortar when heated to redness and again mixed 
 with water will re-set and harden. He also measured the amount of 
 water taken up. His results are shown in the following Tables, in 
 which the letters are the same as those in Tables I and II. 
 
 TABLE III 
 
 
 
 1(B) 
 
 
 
 2(C) 
 
 
 i 
 
 MA) 
 
 
 
 4(D) 
 
 
 t 
 
 g 
 
 8 
 
 9-8 
 
 9 
 
 s 
 
 g-s 
 
 g 
 
 8 
 
 g-s 
 
 g 
 
 s 
 
 g-s 
 
 Immediately 
 
 
 
 
 
 
 
 
 
 
 
 
 
 after mixing 
 
 
 
 
 
 
 
 
 
 
 
 
 
 with water. 
 
 4.00 
 
 1.20 
 
 2.80 
 
 1.24 
 
 0.50 
 
 0.74 
 
 7.84 
 
 2.94 
 
 4.90 
 
 8.30 
 
 1.50 
 
 6.80 
 
 After 5 hrs. 
 
 4.20 
 
 1.60 
 
 2.60 
 
 2.30 
 
 0.70 
 
 1.60 
 
 7.89 
 
 3.02 
 
 4.87 
 
 
 
 
 
 
 
 36 
 
 5.16 
 
 1.96 
 
 3.20 
 
 3.12 
 
 1.20 
 
 1.92 
 
 8.60 
 
 3.68 
 
 4.92 
 
 9.56 
 
 2.35 
 
 7.21 
 
 60 
 
 5.48 
 
 2.02 
 
 3.46 
 
 3.80 
 
 1.40 
 
 2.40 
 
 9.20 
 
 4.35 
 
 4.85 
 
 
 
 
 
 
 
 5 days 
 
 6.24 
 
 2.30 
 
 3.94 
 
 4.25 
 
 2.20 
 
 2.05 
 
 9.80 
 
 4.87 
 
 4.93 
 
 10.98 
 
 3.88 
 
 7.10 
 
 8 
 
 6.56 
 
 2.58 
 
 3.98 
 
 4.40 
 
 2.32 
 
 2.08 
 
 10.50 
 
 5.60 
 
 4.90 
 
 
 
 
 
 
 
 12 
 
 6.90 
 
 3.15 
 
 3.75 
 
 4.60 
 
 2.40 
 
 2.20 
 
 11.04 
 
 6.20 
 
 4.84 
 
 12.81 
 
 4.66 
 
 8.15 
 
 20 
 
 7.75 
 
 3.84 
 
 3.91 
 
 5.48 
 
 3.35 
 
 2.13 
 
 11.84 
 
 6.56 
 
 5.28 
 
 14.60 
 
 6.52 
 
 8.08 
 
 24 
 
 7.80 
 
 3.84 
 
 3.96 
 
 6.48 
 
 4.02 
 
 2.46 
 
 11.60 
 
 6.66 
 
 4.94 
 
 
 
 
 
 
 
 40 
 
 8.32 
 
 4.11 
 
 4.21 
 
 7.06 
 
 4.22 
 
 2.84 
 
 
 
 
 
 
 
 
 
 
 
 
 
 60 
 
 9.02 
 
 4.42 
 
 4.60 
 
 7.20 
 
 4.18 
 
 3.02 
 
 
 
 
 
 
 
 
 
 
 
 
 
HYDRATION OF PORTLAND CEMENTS 
 
 187 
 
 TABLE IV 
 
 
 /i=2777.4 
 
 fij_ = 2659.4 
 
 M 2 =4585 
 
 ^3=4327 
 
 
 1 (B) 
 
 2(C) 
 
 3 (A) 
 
 4(D) 
 
 t 
 
 7 
 
 cr 
 
 y-<r 
 
 7 
 
 <r 
 
 7-0- 
 
 7 
 
 0- 
 
 y-a- 
 
 7 
 
 or 
 
 7-<r 
 
 Directly 
 
 
 
 
 
 
 
 
 
 
 
 
 
 after mixing 
 
 
 
 
 
 
 
 
 
 
 
 
 
 with water. 
 
 6.17 
 
 1.85 
 
 4.32 
 
 1.83 
 
 0.73 
 
 1.10 
 
 19.97 
 
 7.49 
 
 12.48 
 
 19.96 
 
 3.60 
 
 16.36 
 
 After 5 hrs. 
 
 6.48 
 
 2.47 
 
 4.01 
 
 3.39 
 
 1.03 
 
 2.36 
 
 20.10 
 
 7.69 
 
 12.41 
 
 
 
 
 
 
 
 36 , 
 
 7.96 
 
 3.02 
 
 4.94 
 
 4.61 
 
 1.77 
 
 2.84 
 
 21.91 
 
 9.38 
 
 12.53 
 
 22.98 
 
 5.65 
 
 17.33 
 
 60 , 
 
 8.46 
 
 3.11 
 
 5.35 
 
 5.61 
 
 2.06 
 
 3.54 
 
 23.44 
 
 11.08 
 
 12.36 
 
 
 
 
 
 
 
 5 days 
 
 9.63 
 
 3.54 
 
 6.09 
 
 6.28 
 
 3.25 
 
 3.03 
 
 24.97 
 
 12.40 
 
 12.57 
 
 26.39 
 
 9.39 
 
 17.06 
 
 8 
 
 10.12 
 
 3.98 
 
 6.14 
 
 6.50 
 
 3.43 
 
 3.07 
 
 26.75 
 
 14.27 
 
 12.48 
 
 
 
 
 
 
 
 12 
 
 10.65 
 
 4.86 
 
 5.79 
 
 6.79 
 
 3.54 
 
 3.25 
 
 28.13 
 
 15.80 
 
 12.33 
 
 30.79 
 
 11.20 
 
 19.59 
 
 20 
 
 11.96 
 
 5.92 
 
 6.03 
 
 8.09 
 
 4.95 
 
 3.14 
 
 30.17 
 
 16.71 
 
 13.46 
 
 
 
 
 
 
 
 24 
 
 12.03 
 
 5.93 
 
 6.11 
 
 9.57 
 
 5.94 
 
 3.63 
 
 29.56 
 
 16.97 
 
 12.59 
 
 
 
 
 
 
 
 40 
 
 12.84 
 
 6.34 
 
 6.50 
 
 10.43 
 
 6.23 
 
 4.20 
 
 
 
 
 
 
 
 
 
 
 
 
 
 60 
 
 13.92 
 
 6.82 
 
 7.10 
 
 10.64 
 
 6.17 
 
 4.47 
 
 
 
 ' 
 
 
 
 
 
 
 
 
 
 A comparison of the figures in Tables III and IV shows that the 
 hydration phases of the regenerated hydraulite (made from a hardened 
 cement by re-heating) follow each other more rapidly than do those of 
 the original cement. From this it may be concluded that the hardened 
 masses were not properly burned, as otherwise the hydration phases 
 in the regenerated cement would occur in precisely the same manner as 
 in the original cement. These results make the possibility of repro- 
 ducing fresh cement from hardened masses highly probable. 
 
 As the hydration phases follow each other more rapidly than in the 
 original cement (Tables I and II) a much lower degree of hardness must 
 be obtained in the case of regenerated cements when they are mixed 
 with water and allowed to set and harden . This was actually the case in 
 Feichtinger's experiments. 
 
 Thermo-chemical studies of hydration and hardening processes must 
 lead, in the case of cements which contain free lime, to results which 
 are different from those in which the whole of the lime is in a com- 
 bined state. 
 
 In cements of the former kind there are theoretical reasons why a 
 development of heat must occur at the commencement of hydration 
 (the hydration heat of the CaO) ; and in cements devoid of free lime a 
 perceptible development of heat can only occur after an interval, viz. 
 at the moment when the separation and hydration of the first CaO 
 molecule occurs. 
 
 As a matter of fact, Feichtinger did observe a noticeable develop- 
 ment of heat during the hydration of cement 4(D), which contains free 
 lime. 
 
 In this connection the results of W. Ostwald's thermo-chemical 
 studies 322 on the following cements are particularly interesting : 
 
188 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 A <UMO 
 
 in^n OTT n 
 Si0 2 2 H 2 
 
 Analysis XII.* 
 34MO 
 
 31.5 CaO 2.5 MgO 
 
 8 
 
 Analysis XXVIII. 
 B. 9 2 M0.6R 2 <V12Si0 2 .3MgC0 3 10H 2 { 
 
 SMgO 
 3 = 5 A1 2 3 - Fe 2 3 . 
 
 p 74. Mn . a p n . i A Qin <* 
 C. 74 MO 6 R 2 3 18 Si0 2 3 
 
 Analysis XXXI. 
 
 Q TT n 
 8 H0 
 
 R Q = 
 
 O,. 
 
 Analysis XXXII. 
 
 D. 76 MO 6 R 2 3 18 Si0 2 MgC0 3 4 H 2 
 
 Analysis XXXIII. 
 
 E. 90 MO - 6 R 2 3 18 Si0 2 4 MgC0 3 10 H 2 O 
 
 These results are summarised in the following Table : 
 
 Time 
 
 D 
 
 E 
 
 2 hours 
 
 7.53 
 
 20.53 
 
 9.94 
 
 34.01 
 
 20.47 
 
 6 
 
 10.09 
 
 37.05 
 
 12.23 
 
 35.46 
 
 29.57 
 
 1 day 
 
 18.79 
 
 41.35 
 
 15.32 
 
 38.39 
 
 39.78 
 
 4 days 
 
 
 
 46.16 
 
 29.72 
 
 
 
 
 
 5 ,, 
 
 
 
 47.17 
 
 32.10 
 
 
 
 
 
 6 
 
 
 
 57.96 
 
 33.56 
 
 __ 
 
 44.34 
 
 7 
 
 
 
 65.63 
 
 40.21 
 
 
 
 51.55 
 
 Ostwald drew attention to the great increase in heat evolved on the 
 5th, 6th and 7th days and suggested that after this time a new stage in 
 the hardening process occurs and is accompanied by a fresh develop- 
 ment of heat. This noticeable development of heat for which, 
 hitherto, no satisfactory explanation has been given is readily under- 
 stood in the light of the new theory. It is the moment of hydration of 
 the calcium oxide liberated from the silicate molecule. 
 
 Further references to the development of heat during hardening will be found in 
 the Bibliography under No. 322. 
 
 G 
 
 As the most important hydraulic limes are aluminosilicates, it 
 must, theoretically, be possible to observe the conversion of primary 
 into secondary types by the action of alkaline solutions of definite 
 concentration. This deduction has been confirmed by some experi- 
 mental results obtained by Feichtinger 323 . He treated the hydraulic 
 mortars A, B, C and D (both in the fresh state and after they had been 
 allowed to harden for some time)with aqueous solutions of sodium and 
 potassium carbonates, and allowed these reagents to act for some time. 
 
 * For the analytical figures, see the corresponding numbers in the section on 
 Portland cements in the Appendix. 
 
ACTION OF ACIDS AND ALKALIES ON CEMENTS 189 
 
 A definite quantity of silica and a little alumina was dissolved, the 
 amounts being expressed in percentages and molecules in the following 
 Table : 
 
 TABLE V 
 
 
 % Si0 2 
 
 Molecules SiO 2 
 
 A 
 
 B 
 
 C 
 
 D 
 
 A 
 
 B 
 
 C 
 
 D 
 
 In fresh state . 
 After 14 days . 
 ,, 3 months 
 5 . 
 
 2.63 
 1.66 
 1.42 
 1.04 
 
 5.09 
 3.72 
 2.50 
 2.10 
 
 6.78 
 6.05 
 5.80 
 5.26 
 
 4.24 
 2.86 
 2.40 
 2.12 
 
 2.17 
 1.34 
 1.14 
 
 0.84 
 
 4.11 
 3.00 
 2.02 
 1.70 
 
 2.98 
 2.66 
 2.55 
 2.31 
 
 2.13 
 1.90 
 1.82 
 1.65 
 
 From this Table it may be seen that the Portland cement A is a 
 basic salt of the type 
 
 Si M S A i Al Si 
 
 and, in the fresh state, parts with 2 mols. Si0 2 , forming 
 
 ST-Al-Sl-Al-Si. 
 
 Similarly, the alkaline solution reacts on the hydraulic lime D, 
 which is a compound of the type 
 
 Si Al - S A i - M - Si. 
 It forms a compound of the type 
 
 ST-Al-Si-Al-ST, 
 
 and it is interesting to note that the cements B and C, which are both 
 basic salts of the type, 
 
 /SI 
 
 Al^ST 
 
 X Si 
 
 do not, when in the fresh state, part with the same number of mole- 
 cules. 
 
 From B with the liberation of 4 mols. Si0 2 a compound 
 
 Si-Al-Si-Si-Al-Si, 
 and from C a salt of the anhydride 
 
 S A i - Al - Si, 
 
 are produced. The last-named shows that hexa-compounds may, in 
 some cases, be produced by the action of alkalies on penta-com- 
 pounds. 
 
 Table V also shows that the solubility of the silica diminishes as 
 the cement mass hardens. This fact is also in agreement with the 
 theory, according to which a separation of CaO from the hydraulites 
 A, B, C and D should occur and the combination between the alumina 
 and silica radicles should be intensified. 
 
190 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 H 
 
 The separation of CaO in hydraulic binding materials, which is a 
 result of the action of dilute hydrochloric, sulphuric, carbonic and other 
 acids, of alkaline carbonates or, in some cases, of water alone (Portland 
 cements), must take place in accordance with certain definite stoichio- 
 metrical laws. Valuable contributions to the support of this statement 
 have been made by Feichtinger 324 and Schott 325 . 
 
 Feichtinger has studied the action of water containing carbonic 
 acid on the cements 1(B), 2(0), 3 (A), 4(D) and also on the silicates : 
 
 =3 C 
 
 24 CaO 3 K 2 3 15 Si0 2 2* 24 CaO 3 R 2 O 3 12 Si0 2 - 2 f 
 
 Analysis XX, Appendix. Analysis I, Appendix. 
 
 5 (E). 6 (F). 
 
 Feichtinger's object was to discover whether the whole of the lime 
 in the hardened material could, in this way, be converted into calcium 
 carbonate or whether this conversion was confined to a portion of the 
 lime. Although he allowed CO 2 - water to act on the hardened material 
 for 1 J years, he was unable to convert the whole of the lime into CaC0 3 ; 
 a part of the lime remained combined with the silica. Unfortunately, 
 Feichtinger did not publish the data on which he bases his conclusions 
 regarding the proportions of lime in the free and combined state after 
 1J years. The following Table shows the progress of the decom- 
 position, studied by Feichtinger, during only 5 months : 
 
 TABLE VI 
 
 Conditions of Experiments 
 
 Percentage of CO 2 
 
 A 
 
 B 
 
 The mortar lay 3 months in clean wate 
 After this for 1 month in CO 2 -water 
 2 months 
 > 
 * > > 
 5 
 
 p 
 
 
 
 
 4.2 
 14.4 
 16.7 
 18.2 
 20.8 
 20.9 
 
 8.1 
 16.3 
 19.2 
 19.4 
 19.4 
 19.4 
 
 * 2 = 4 RCO 8 + 0.25 Na 2 SO 4 + 2 H 2 O. 
 
 3 R,O 3 = 1.5 A1 2 O S 1.5 Fe 2 O 3 . 
 
 4 RCO 3 = 2.5 CaCO 3 1.5 MgCO 3 . 
 1 2 = 3 RCO 3 + 0.5 R 2 SO 4 + 2 H 2 O. 
 
 3 R a O 3 = 1.5 A1 2 O 3 1.5 Fe 3 O 3 . 
 3 RCO 3 = 2 CaC0 3 MgCO 3 . 
 
ACTION OF ACIDS AND ALKALIES ON CEMENTS 191 
 
 TABLE VII 
 
 lli 
 
 eS fl 
 
 II 
 
 
 41.36 
 38.12 
 37.48 
 39.56 
 43.84 
 41.13 
 
 40.90 
 36.13 
 37.10 
 36.80 
 42.30 
 41.70 
 
 22.5 
 19.4 
 21.2 
 21.3 
 20.9 
 24.0 
 
 16 
 12 
 16 
 15 
 
 26 
 
 27 
 
 24 
 21 
 22 
 24 
 44 
 26 
 
 8 
 
 9 
 
 6 
 
 9 
 
 18 
 
 12 
 
 23.45 
 19.30 
 21.59 
 22.29 
 22.27 
 23.14 
 
 2860.8 
 2777.4 
 2659.4 
 3090.9 
 4585.0 
 4327.0 
 
 
 
 
 
 
 13 
 
 19.0 
 14.5 
 16.5 
 19.0 
 29.0 
 29.0 
 
 Table VII is of special value, as it allows the inference that the 
 following products have been formed by the action of carbonic acid on 
 the hydraulites F, B, C, E, A and D : 
 
 1 
 
 8CaO-3Al 2 3 -12SiO s 
 F. 
 
 9CaO-3Al 2 O 3 -15Si0 2 
 B and E. 
 
 6CaO-3Al 2 3 -15Si0 2 . 
 C. ' 
 
 = 1 
 
 18 CaO 5 A1 2 3 18 SiO s 
 A. 
 
 12 CaO 6 A1 2 
 D. 
 
 1 
 
 18 Si0 2 
 
 A glance at the above structural formulae shows that the separation 
 of CaO must be in accordance with quite definite laws. Hence it 
 follows from the structural formulae A and D that : 
 
 1. The lime is combined more strongly with the middle hexite and 
 cannot be so easily separated as it can from the side hexites, and 
 
192 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 2. In the neighbouring positions 2 and 3, the lime is more feebly 
 bound than in the positions 1 and 4. 
 
 It appears to be unlikely that the 2 side-chains in the compound 
 A are in neighbouring positions (2, 3). 
 
 A comparison of the structural formulae B, C and E shows that the 
 lime in positions 1 and 3 in the pentites is more strongly combined than 
 in position 2. The possibility that the lime in C forms a 2 side-chain 
 in position 2 is improbable. 
 
 Schott 326 studied the reaction of a cement : 
 
 42 CaO 3 R 2 3 15 SiO, 2*. 
 
 Molecular Weight=3974.4 
 G. 
 
 137.4 parts of cement hardened by (NH 4 ) 2 CO 3 gave : 
 
 CaC0 3 MgC0 3 CaS0 4 CaO Fe 2 3 A1 2 3 Si0 2 H 2 Insol. Total. 
 
 79.20 2.90 1.30 15.10 4.30 4.50 22.70 6.10 1.30 137.40 
 
 57.56 2.10 0.98 10.99 3.14 3.28 16.53 4.44 0.98 100.00% 
 
 These results lead to the formula : 
 
 11 CaO Fe 2 3 2 A1 2 3 15 SiO 2 31 CaC0 3 1.5 MgC0 3 0.5 CaS0 4 14 H 2 O 
 
 Calcd. 11.34 
 Found 10.99 
 
 2.95 
 3.14 
 
 3.75 
 3.28 
 
 16.68 
 16.53 
 
 57.06 
 57.56 
 
 2.32 
 2.10 
 
 1.25 4.64 
 0.98 4.44 
 0.98 (Insol.) 
 
 (9H 2 
 + 32.5 RC0 3 - 
 
 ^ (1) 
 OH OH 
 
 9 CaO 3 R 2 3 15 Si0 2 ) 
 2 Ca(OH) 2 + 3 H 2 O + 0.5 CaS0 4 
 H. 
 
 2.5 RCO 8 0.5 CaSO 4 2 H 2 O. 
 
 2.5 KC0 3 = 1.5 MgCOs + 0.5 K.CO, + 0.5 Na 2 CO 8 . 
 
 3 B 2 O S = 2 A1 2 O 3 Fe 2 O 8 . 
 
PROGNOSES RELATING TO CEMENTS 193 
 
 The structural formula H suggests a comparison with the formula 
 B previously given. The decomposition, so far as the separation of 
 lime is concerned, occurs in a similar manner ; this can scarcely be a 
 mere coincidence. 
 
 More hydration phases occur under the action of alkaline carbonates 
 of certain concentration than with water alone. Hence, in such cases, 
 the cement masses must attain a greater hardness, as Schott has shown 
 experimentally. 
 
 It is, therefore, very important to ascertain the nature of the 
 action of carbonic acid on hardened mortar, as a clear conception of the 
 changes which occur to cement mortars hardening in air may then be 
 obtained. The secondary hardening of cements allowed to set in air 
 must be chiefly referred to the action of carbon dioxide and moisture 
 in the air. 
 
 As the cement mortar, in such a case, undergoes a large number of 
 hydration phases which follow each other very slowly, storing in air 
 ought to give a harder product than is obtained by storage underwater. 
 
 J 
 
 In a hydraulite of the composition 
 
 5 5 
 
 II II 
 
 4=/\/\/\ == 4 
 
 4 oJSi|^Al|SiJ =4C 
 
 '\/ 
 
 5 
 
 it is possible to remove a portion of the lime by means of hydrochloric, 
 carbonic or other dilute acids, or of dilute ammonium carbonate 
 solution. The following compounds may be produced in this manner : 
 
 3 3 
 
 II II 
 
 CJSi| Al|Si]^ 3 o 2 oII|Si|Al Si C 2 o etc. 
 
 1. 2. 3. 
 
 These compounds may, in the presence of water or dilute alkalies, 
 undergo a series of hydration phases. Hence, if a portion of the lime 
 is removed from combination with the cement by means of dilute acids, 
 it must, to a certain extent, retain its hydraulic properties. 
 
 Fremy 327 has experimentally removed a portion of the lime from 
 hydraulic limes, and has treated the residue with dissolved lime, with 
 the result that the mixture hardened. Zulkowski 328 repeated Fremy 's 
 experiment, and found that as much as 14 per cent, may be removed 
 from some Portland cements without destroying the power of the 
 residue to harden when mixed with water. 
 
194 CONSEQUENCES OF THE H.P. THEORY 
 
 Such hydraulites as 
 
 I Si | Al | Al | Si 
 
 cannot contain more than 8 molecules of silicate-water, but, in addition 
 to this, A can have a theoretical maximum of 20 Ca(OH) 2 , or 20 H 2 
 which is driven off at a red heat. B, under similar circumstances, 
 cannot have more than 16 mols. Ca(OH) 2 , or 16 H 2 O volatilised at a 
 red heat. In other words, there is for each cement molecule a maximum 
 proportion of silicate-water and of calcium hydroxide water. This 
 statement is also true of all analogously constituted silicate cements. 
 
 It will be interesting to observe how far this inference from the 
 theory is supported by the facts. 
 
 If a hardened mass of cement containing free basic lime-salts is 
 crushed, it will harden into a stony mass if mixed with a suitable 
 quantity of water or dilute solution of alkali. These lime-salts are 
 particularly likely to be present where hydration is effected by the 
 action of alkali-free or acid-free water. As the number of hydration 
 phases in such partially decomposed silicates is large, especially in the 
 presence of a little alkali and water, it should be possible to produce 
 materials or articles of great hardness from such silicates. 
 
 Schott 329 has experimentally obtained a second setting and harden- 
 ing by mixing a pulverised hardened cement mass with water. 
 
 M 
 
 As the bond between the aluminium hexite and the silicon hexites is 
 weakened by heating aluminosilicates and by their combination with 
 lime, it should be possible to observe that when the material is treated 
 with dilute acids, a separation of lime and of gelatinous silica occurs, as 
 in clays (p. 107). 
 
 This is actually the case, and Fuchs made this fact the basis of 
 his cement theory. 
 
 N 
 
 If hydraulic limes are treated with concentrated hydrochloric, 
 sulphuric, or other acids, it should be possible to observe a decom- 
 position of the silicate molecule in addition to the separation of the 
 
PORTLAND CEMENTS AND SEA WATER 195 
 
 lime. The silicate molecules, being derivatives of clays, must be 
 resolved into compounds of the type 
 
 S A i-Al-Al-sX Si-Al-Al-Sl, or sVAT-H-Si 
 
 (see p. 107). 
 
 So far as the authors are aware, no experiments to prove this have 
 yet been made. 
 
 
 
 From the theory, the possible existence of isomers of the silicate 
 cements may also be inferred. Thus the compounds 
 
 are isomeric. Up to the present these isomers have not been investi- 
 gated. 
 
 Good hydraulites ought only to be producible by mixing hydro- 
 aluminosilicates (clays) with limestone or chalk in theoretical stoichio- 
 metric proportions, the ash of the fuel (alumina, silica, lime and alkali) 
 used being also taken into consideration. 
 
 As a matter of experience it is well known that for each mixture 
 only definite proportions of clay and lime can be used to produce good 
 cements. These proportions are usually found empirically, but the 
 formulae given by the authors show that these empirical proportions 
 agree with the ones theoretically the most suitable and that the 
 empirical proportions are scientifically correct. 
 
 Q 
 
 A New Investigation of the Sea Water Question 
 
 Schuljatschenko 330 correctly states that it is very difficult 
 to ascertain accurately the cause of the destruction of masonry 
 exposed to the action of the sea ; i.e. whether it is due to the pro- 
 perties of the bonding material (cement), to external influences such 
 as sand, to incorrect proportions of the materials used in the concrete, 
 to the porosity or to the low density of the cement blocks, etc. There 
 can be no doubt that all these factors have some influence, but the facts 
 seem to show that, in many cases, the chief cause of the decomposition 
 of maritime masonry is the action of sulphur compounds. That this 
 inference is generally true is shown by the fact that a large number of 
 
196 CONSEQUENCES OF THE H.P. THEORY 
 
 investigators have, for many years, endeavoured to ascertain what 
 substances are formed by the action of calcium sulphate on 
 cements. 
 
 It is generally agreed that Portland cements contain compounds of 
 lime and alumina, and Candelot 331 and Michaelis 332 have concluded 
 that, by the action of gypsum or plaster of Paris on hardened cement 
 masses, certain calcium sulpho-aluminates are formed, and that these 
 are one of the causes of swelling of cements. Schott 333 also investi- 
 gated the action of gypsum (plaster of Paris) on normal Portland 
 cement and on analogous cements in which the alumina is replaced by 
 iron oxide. In both cases he noticed that decomposition occurred, so 
 that the formation of a calcium sulpho-aluminate or sulpho-ferrate 
 appears to be probable. Schott did not, however, agree with the 
 investigators just named that the swelling action of gypsum (plaster) 
 is due to the formation of sulpho-aluminates or sulpho-ferrates. Le 
 Chatelier 334 , on the contrary, is in favour of the formation of a definite 
 calcium sulpho-aluminate and, like Deval 335 , endeavoured to ascertain 
 the action of various sulphates on cements containing various propor- 
 tions of alumina. 
 
 Rebuffat 336 also found that there is a number of different calcium 
 sulpho-aluminates. He doubted, however, whether the destruction of 
 maritime masonry could be referred to the formation of these com- 
 pounds. Here again, it should be noticed, the swelling and disinte- 
 grating effects which occur when gypsum (plaster) is present in the 
 cement were also attributed to the last-named substance. The chief 
 description of the disadvantages of sulphates on cements is that of 
 Schiffner 337 , who had collected a number of instances in which the 
 decomposition was unquestionably due to the action of sulphur com- 
 pounds on the hardened cement masses. Some of these interesting 
 examples may be mentioned here : 
 
 1. In the walls of a railway tunnel, the effects of some destructive 
 action were observed. The mortar came out of the joints in the form 
 of a milky fluid and carried with it all the sulphate, so that the cement 
 was considered to be bad. It was only after a very careful examination 
 that it was found that the overlying rocks contained sulphurous lignite 
 which became oxidised to sulphates, the latter causing the destruction 
 of the cement. 
 
 2. In a concreted gallery in a mine in Alsace-Lorraine the walls 
 became moist and porous in parts. The greater portion of the 
 structure was in exceptionally good condition, so that it was im- 
 possible to blame the cement, but in some portions boil-like swellings 
 appeared, the mortar becoming semi-fluid and the joints loose. 
 A closer examination showed that the nature of the water in the 
 neighbourhood of the gallery contained calcium and magnesium 
 sulphates in sufficient quantities to effect a partial decomposition of 
 the concrete. 
 
 3. According to Grauer, cracks and characteristic white crystals 
 
PORTLAND CEMENTS AND SEA WATER 197 
 
 appeared in the joints of a sewer built of bricks laid in cement. In 
 this instance the sulphates were introduced by the sewage. 
 
 4. According to Le Chatelier, defects appeared in the cement used 
 in the Paris fortifications because this was quite close to the famous 
 gypsum beds. In this instance the sulphuric acid in the cement rose 
 from 0.4 to 3.75 per cent. 
 
 5. In a tunnel near Almeria (Spain) the mortar swelled a few 
 months after it had been finished. The sulphuric acid content rose 
 from 0.3 to 2.3 per cent. The ground water contained 2 g. calcium 
 sulphate and 1 J g. magnesium sulphate per litre (or 140 and 105 grams 
 per gallon respectively). 
 
 6. A railway viaduct, which passed through a clay deposit con- 
 taining gypsum and through gypsum beds, suffered seriously because 
 the drainage water was saturated with gypsum. 
 
 These instances are sufficient to show the serious action of sulphur 
 compounds on cement, and the question arises as to whether any 
 information may be gained from a study of the constitution of the 
 cements, or from the observations and experiments which have been 
 made, whereby this action may be explained, and, if possible, prevented. 
 The reader may be surprised to learn that this question can be answered 
 in the affirmative in the following manner : 
 
 If water is allowed to act on a typical Portland cement such as : 
 
 4 OK OK 4 
 
 II I I II 
 
 oo f 01 1 Al Al Si I c 
 6 kX ~ A ' * 
 
 YY 
 
 4 OK 
 
 KOK4 
 A. 
 
 a hard, cement mass with the formula 
 
 (2) OH OH (2) 
 
 I I 
 
 + x Ca(OH) 2 + 2 
 
 (2) 
 
 B. 
 is formed. 
 
 From the formula B it may be seen that the silicate of the hardened 
 cement contains a-hydrogen (marked with a +), and on p. 140 it 
 was shown that the a-hydrogen tends to be replaced by monovalent 
 acid radicles such as SO 2 OH, SO OH, etc. 
 
 In this manner all kinds of A- and Z-aluminosilicates such as the 
 ultramarines (p. 140 et seq.) may be formed. If the cement mass B 
 comes into contact with solutions of salts such as gypsum, it is by no 
 
198 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 means improbable that 2-aluminosilicates will be formed. High 
 temperatures are unnecessary, as Thugutt has shown that the formation 
 of the 2-aluminosilicates (sodalites) may take place at low tempera- 
 tures in the presence of solutions of suitable salts. As the formation 
 of these substances is accompanied by a change in volume, it is clear 
 that the hardened cement, such as B, must crack if its hydrogen is 
 replaced by acids or acid radicles (p. 152) and that it may be completely 
 destroyed. 
 
 Hence it follows that the authors' cement theory permits the 
 prediction that the action of sulphates on cement will be accompanied 
 by disastrous results. The possibility of the disintegration of maritime 
 masonry by the action of the sulphates of calcium, magnesium, etc., in 
 the sea water is thereby explained. 
 
 There now remains the question as to whether this serious action of 
 sea water can be, in any way, prevented. In cases where the destruc- 
 tion of the cement work is exclusively confined to the action of the 
 sea water, the most satisfactory solution of the problem will be found 
 in the use of cements in which no a-hydroxyls can be formed, i.e. 
 cements of the types : 
 
 AlSi, 
 X 
 
 All-Si and AU-S 
 
 Si 
 
 (p. 189) 
 
 If this inference from the theory can be proved experimentally and 
 the practical observations and experimental results previously men- 
 tioned almost amount to such a proof an interesting and important 
 practical result would be obtained from purely theoretical reasoning, 
 and would form a notable step in the direction of a solution of the 
 " sea- water problem." 
 
 R 
 
 From the theory it follows that, from clays containing a-hydroxyls, 
 compounds must be producible which contain both hydraulites and A- 
 or 2-aluminates or ultramarines, i.e. pigments with hydraulic pro- 
 perties such as : 
 
CONSTITUTION OF THE PORCELAIN CEMENTS 
 
 S 
 
 199 
 
 = (2) 
 
 etc. 
 
 (2) 
 
 SO, S0 2 
 ONa 
 
 ON 
 
 It will be interesting to learn whether this prognosis can be proved 
 by the actual production of such substances. 
 
 XIV 
 A New Theory of the Silicate or Porcelain Cements 
 
 Certain kinds of transparent silicate cements, which are conveni- 
 ently known as porcelain cements, have been used for some years 
 as dental-stopping materials. The first of these porcelain cements was 
 discovered and patented in 1878 by T. Fletcher 338 , but it did not 
 fulfil his anticipations and rapidly fell out of use. 339 An interval of 25 
 years appears to have elapsed before any other porcelain cements were 
 produced, and these were of a different composition. Those placed 
 on the market in 1904 by Ascher and others were heartily welcomed 
 as new discoveries in dentistry, and they rapidly attained great 
 popularity on account of their valuable characteristics. 
 
 It may be here pointed out that the porcelain cements appear 
 likely not only to replace the zinc phosphate cements and amalgams, 
 but also the burned enamels and the " queen " of stoppings gold in 
 practical dentistry ! Morgenstern has expressed himself as follows 
 respecting these new stopping materials : 34 " Porcelain cement, when 
 properly selected and prepared, sets to form a mass with a remarkable 
 resemblance to natural teeth, both in colour and transparency and 
 possessing a gloss which is confusingly like that of natural dentitic 
 enamel. These stoppings have no objectionable features, and in no 
 way harm the teeth, and they have a great advantage over gold and 
 the burned enamels in that they save the dentist thousands of hours of 
 work and greatly economise his health and power. They save the 
 patients many a painful hour and have great pecuniary advantages." 
 
 Porcelain cements consist of two ingredients a powder and a fluid. 
 According to Sanderson, Fletcher's powder was composed of aluminium 
 hydrate, zinc oxide or magnesia and a basic zinc silicate. The powders 
 
200 CONSEQUENCES OF THE H.P. THEORY 
 
 of the new porcelain cements consist chiefly of calcium alumino- 
 silicates. 
 
 The fluids of the new cements differ from that of Fletcher chiefly 
 in their consistency. Fletcher's fluid was a syrupy solution of alu- 
 minium phosphate in phosphoric acid, whilst the newer ones are less 
 syrupy and consist chiefly of alumina and phosphoric acid. There was, 
 until recently, a cement of which the powder resembled that of Fletcher 
 and consisted chiefly of calcium aluminosilicate and zinc oxide. The 
 fluid had a consistency resembling that of Fletcher's fluid, but was 
 chiefly composed of alumina and phosphoric acid with a large pro- 
 portion of zinc oxide. It differed from Fletcher's cement because it 
 was a practicable, dental-stopping material. 
 
 On mixing the silicate powder with the fluid, there is immediately 
 formed a transparent mass which is at first plastic in distinction from 
 the earlier zinc phosphate dental cements but rapidly becomes quite 
 hard. 
 
 The powder of the new cements contains the same constituents as 
 the Portland and slag cements, but instead of the fluid being pure water 
 or alkaline water, acids (aluminophosphoric acids), or solutions of acid 
 salts (aluminophosphates), are employed. 
 
 From a scientific point of view it is highly important that an 
 investigation should be made with a view to ascertaining the constitu- 
 tion of the porcelain cements in order to solve a number of physical 
 and chemical problems in connection with their setting. This investiga- 
 tion appears to be all the more necessary when the available experi- 
 mental results and the theories already formulated are critically 
 examined. If the new hexite theory proves of use in this investigation, 
 it will not only add to the value of the theory itself, but will clear many 
 problems of enormous and pressing importance in surgery and particu- 
 larly in dentistry. 
 
 The ijew silicate cements with the exception of those containing 
 a large proportion of zinc oxide both in the powder and in the fluid 
 portion have one serious drawback : they have a destructive action 
 on the nerves (pulpa) of the teeth. For this reason there has long been 
 a dispute as to the best means of preventing this poisonous action. 
 
 In regard to this and to several other problems e.g. the best 
 methods of testing the durability, density and hardness of such cements, 
 both in the laboratory and in the mouth much remains to be done. 
 It is, however, clear, that in all investigations of this kind, a knowledge 
 of the constitution of the cements and of the changes which take place 
 during their setting, must be of the greatest importance. 
 
 The porcelain cements must possess a number of very definite 
 characteristics, such as unchangeableness of shape and size in the 
 mouth, resistance to the action of saliva, etc., if they are to fill a useful 
 place in applied dentistry. 
 
 Miller 341 considers that an ideal dental stopping should have the 
 following characteristics : 
 
LABORATORY TESTS ON PORCELAIN CEMENTS 201 
 
 1. Sufficient hardness so as not to be worn away unduly by 
 mechanical forces in the mouth. 
 
 2. Unchangeability in saliva, food-stuffs and other decomposition 
 products (chemical indestructability). 
 
 3. Constancy of form and volume when placed in the teeth. 
 
 4. Low heat conductivity, so that any changes in the temperature 
 of the mouth are not transmitted to the nerves of the teeth. 
 
 5. A high degree of plasticity in order that the stopping may be 
 water-tight and may properly fit the teeth. 
 
 6. Colour as similar as possible to that of the teeth. 
 
 7. Absence of detrimental action on the tooth material, nerves, 
 mucous membrane and the general health. 
 
 8. Easy manipulation. 
 
 9. Minimum sensitiveness to moisture. 
 
 10. Adhesiveness to the tooth- wall. 
 
 11. Antiseptic, at any rate during fitting. 
 
 12. Easy removal, if necessary. 
 
 The possibility of producing ideal stopping materials depends 
 chiefly on a knowledge of the chemical constitution and on a clear 
 understanding of the reaction which occurs during the hardening of 
 these substances. If no scientific basis no scientifically grounded 
 theory of the porcelain cements is possible, the manufacturers of 
 these substances can only work in an arbitrary manner in attempting 
 to improve the quality. To do this is, however, risky, as it is possible 
 that some manufacturers may even produce inferior products instead 
 of " improvements " ; the final material may, in fact, be worse than 
 the original one, though it may be sold as " greatly improved." In 
 one case a porcelain cement was so much " improved " that it was 
 eventually agreed that the material made five years previously was by 
 far the " best," and the manufacturers were obliged to forego their 
 " improvements " and to use the older recipe ! 
 
 A large amount of theoretical, and especially of experimental work, 
 has been done in connection with porcelain cements, but it cannot be 
 said that this has made the most important properties, such as the 
 poisonous nature of some of these cements, more comprehensible. The 
 solution of this problem of poisoning undoubtedly one of the most 
 important is made particularly difficult by the absence of any well- 
 established theory, and even more serious are the effects of false and 
 purely speculative theories and especially of wrong explanations and 
 faulty interpretations of experimental results. 
 
 In this connection the litmus experiment of Rawitzer 348 is pecu- 
 liarly typical. This investigator endeavoured to show, by means of 
 strips of paper soaked in blue litmus solution, that the porcelain 
 cements containing zinc oxide are poisonous, whereas their innocuous- 
 ness has been proved by laboratory tests and is obvious from a study 
 of their chemical constitution. Rawitzer appears to have overlooked 
 the fact that a substance may turn blue litmus red and yet may not be 
 
202 CONSEQUENCES OF THE H.P. THEORY 
 
 prejudicial to health ; it all depends on the amount of acidity present. 
 A substance may even be acid and yet may not have any detrimental 
 action on the teeth. For instance, concentrated hydrochloric acid is 
 unquestionably a violent poison, but dilute hydrochloric acid is, on the 
 contrary, an internal medicine of great value. Yet both solutions turn 
 blue litmus red ! Litmus alone cannot give any clue as to the amount 
 of acidity, and is, therefore, useless for determining poisonous qualities. 
 Rawitzer had not, apparently, a clear view of the meaning of the term 
 " acid reaction," and was but partially informed with regard to the 
 structure of the hardened cement masses ; consequently he had an 
 erroneous idea of the physico-chemical reactions occurring during 
 the hardening. 
 
 The absence of more definite knowledge of the nature of the 
 porcelain cements has led to several false and meaningless investiga- 
 tions by Dreschfeld 342 , Strumpel 343 , Robert Richter 344 , and Kulka 345 . 
 These have been criticised by Schreiber 346 . 
 
 For instance, Dreschfeld, Strumpel and Richter 347 digested the raw 
 cement (composed of a solid aluminosilicate and a fluid containing 
 alumino-phosphoric acid and aluminophosphate of zinc) with water 
 for various periods of time. According to the length of this digestion a 
 proportionate quantity of the uncombined cement would be decom- 
 posed, the result being a partial splitting up of the cement mass into its 
 components. These acid-reacting decomposition products were titrated 
 and regarded as "free phosphoric acid " by the investigators named. 
 
 Yet what is the use of showing the presence of acid in the 
 decomposition products of a substance which is known to have an 
 acid as one of its original constituents ? 
 
 The same authors also studied the action of freshly mixed (and 
 therefore uncombined) cements on various colourless solutions as well 
 as solutions of aniline dyes, fruit juices (bilberry juice), etc. They 
 regarded a cement which produced no colour in the presence of aniline 
 dye-stuffs as perfect ! Yet it is clear that even the " densest cement," 
 in a fresh (unhardened) state, must necessarily form a compound of an 
 intense colour if such cements form a lake by combining with the dye- 
 stuff. It is a well-known fact that a valuable series of aniline lakes are 
 produced from aluminosilicates and certain basic aniline dye-stuffs ; is 
 it reasonable to suggest that, because an aluminosilicate forms a lake 
 with a certain aniline dye-stuff, it is, therefore, unsuitable as a dental 
 stopping ? 
 
 Kulka falls into a similar error in his experiments, and he appears 
 to have paid no attention to the physico-chemical reactions of harden- 
 ing in his studies, although Morgenstern 349 and Schreiber 350 had called 
 attention to them. Morgenstern was, therefore, induced to issue a 
 warning in regard to the experiments of Kulka and to the general 
 manner in which investigations on silicate cements are carried out. 
 In this warning Schreiber joined. Both these authorities believe that 
 it may be safely assumed that Kulka would never have carried out 
 
LABORATORY TESTS ON PORCELAIN CEMENTS 203 
 
 his experiments on imperfectly hardened cements if he had been clear as 
 to the constitution of these substances and the changes in their physical 
 and chemical properties which occur during the different hardening 
 phases. 
 
 As Morgenstern 351 rightly says : " It is incorrect to stop the various 
 chemical and mechanical processes in cements prepared for experi- 
 mental purposes before the hardening is complete. The cements so 
 treated lose very valuable properties and lead to erroneous results. 
 
 " If this were a matter of purely theoretical or academic interest I 
 should not write about it, but would modestly express my contrary 
 opinion. This is, however, a case where the conclusions are of great 
 practical and technical importance, and Kulka's theories may have a 
 most important influence on the use of silicate cements in dentistry and 
 on their production by the manufacturers. It is because I am con- 
 vinced that this influence may be profitless and even harmful that I 
 feel right to call ' Halt ! ' to those colleagues who are following these 
 new paths." 
 
 Morgenstern himself treated the cements with chemical agents from 
 half to three hours after hardening. He agrees, however, that he could 
 not, in this way, definitely ascertain the true properties of the cements 
 he examined : "I treated," he says, 352 " my cements with water at 
 35 C. for one-half to three hours, and found that their adhesion, 
 durability, density and resistance to acids and alkalies were such that 
 the results obtained cannot be regarded as showing the inherent good 
 characteristics or their value as dental stoppings." 
 
 Morgenstern 353 rightly says that in many of his experiments Kulka 
 paid too little attention to the time required for hardening the cements : 
 " Before commencing his special experiments, he (Kulka) treated his 
 cement fillings (30 minutes after they had set) with a mixture of saliva 
 and water and allowed them to remain in it for seven days, the fluid being 
 renewed occasionally. He found that some cements showed no change, 
 others a little change, and others again were much altered, and that one 
 cement was completely destroyed. These changes in structure and 
 hardness are good evidence that the different cements take different 
 times to complete hardening." 
 
 As Kulka, in his researches, did not pay any attention to the 
 hardening phases in his cements, he found, as Morgenstern has shown, 
 that as great a loss of material occurred when the cement was treated 
 with a 0.5 per cent, solution of lactic acid as is only produced in three 
 weeks in a properly hardened cement. 
 
 Schreiber 354 has pointed out the interesting fact that Kulka's 
 phosphate cements possessed no adhesion, so that Kulka's conclusions 
 based on too early a treatment of the cements with saliva, i.e. before 
 they had properly hardened must, necessarily, be erroneous. As a 
 matter of fact, Kulka covered the ends of small pieces of ivory with 
 cement, and after an hour's standing placed them in saliva- water, where 
 they remained for six days. At the end of this period he found " to his 
 
204 CONSEQUENCES OF THE H.P. THEORY 
 
 astonishment " that the ivory could be completely withdrawn from 
 the cement covering with comparative ease. From this experiment 
 Kulka drew his erroneous conclusions. 
 
 Another serious omission in the records of experiments mentioned 
 on the last two pages is that none of the investigators named mentions 
 the proportion of powder to fluid which he used in his tests. Hence it 
 is not difficult to understand that, as Schreiber 355 has shown, under 
 apparently identical conditions a cement mass x is, according to one 
 investigator, only ^ih as resistant as the mass y ; according to another 
 investigator it is only Jth as resistant as the same mass y ; according 
 to a third it has the same resistance to acids as y, and, finally, a fourth 
 reports it as being more resistant than y ! Clearly, these different men 
 have worked with cements of widely differing degrees of hardness and 
 therefore with very different proportions of powder to fluid. Schreiber 
 has correctly stated, in regard to this remarkable result of the study 
 of these experiments with silicate cements : " Are not these results 
 significant ? Can any reliance be placed on experiments which give 
 such contradictory results ? It is impossible to believe that any 
 substance can behave so differently in analogous experiments." 
 
 In spite of Morgenstern's warning and Schreiber's severe criticism, 
 Kulka has continued to pay no attention to the hardening phases and 
 other important properties of the silicate cements. In his latest work 
 on the possibility of chemical and pathological actions of cement 
 stoppings 356 he endeavours to determine the acidity of various 
 silicate masses shortly after they have been produced, i.e. during the 
 first stages of hardening. This is a very important problem ; yet how 
 does Kulka attempt its solution ? He mixes the powder with the fluid 
 and, either at once or after 20 to 40 minutes, during which the mass 
 is kept at a temperature of 35, he grinds it to a fine powder. He then 
 treats about 1 g. of this powder with 150c.c. distilled water for 24 to 
 48 hours. At the end of this period the powder is removed by filtration 
 
 and the liquid titrated with rr potassium hydrate. The alkali 
 
 neutralised is expressed in terms of " free phosphoric acid." 
 
 A further study of this so-called " quantitative determination " of 
 the ** free phosphoric acid " shows that this method is not merely 
 objectionable, but is entirely erroneous because : 
 
 1. By adding a larger quantity of water to the finely powdered 
 but unhardened cement mass, and especially if it is also stirred con- 
 tinuously for 24 to 48 hours, not only is the cement decomposed, but, 
 in the case of cements in which the fluid is a solution of zinc salts, 
 these salts separate out as new constituents ! Acid decomposition 
 products of the most varied nature enter partially into solution. On 
 titrating the filtrate assuming that it can be titrated (see 2 below) 
 what is really determined is the proportion of substances which are, to 
 a large extent, of secondary origin and are not contained in the original 
 material ! 
 
CRITICISM OF EXISTING THEORIES 205 
 
 2. It is entirely wrong in principle to titrate acid-reacting solutions 
 of metallic salts (zinc salts of aluminophosphoric acid) and to determine 
 the " free acid " by means of the amount of potassium hydrate 
 required, because many solutions of metallic salts react like acids, but 
 contain no trace of free acid. Copper sulphate, cobalt chloride, nickel 
 sulphate, etc., are typical in this respect. 
 
 3. None of the fluid portions of silicate cements contained free 
 phosphoric acid, but phosphoric acid combined with alumina, i.e. 
 aluminophosphoric acid and their zinc salts. 
 
 These complex aluminophosphoric acids and their salts have 
 entirely different chemical and physiological properties from those of 
 free phosphoric acid and must not be confused with it. This is the more 
 important as the alumina, as will be shown later, plays a very important 
 part in the physiologico-chemical action of these acids. 
 
 Yet Kulka, in his determination of the " free acid," entirely over- 
 looks this alumina and regards the cement fluid as consisting of 
 " orthophosphoric acid " in which one atom of hydrogen has been 
 replaced by a base. This view is quite erroneous and unfounded. 
 
 Under these conditions it is not surprising that Kulka's " deter- 
 minations of acidity," in various silicate masses, led him to regard 
 what are known in practice as highly poisonous cements as " harmless " 
 and those which are entirely free from danger as " the most poisonous." 
 
 From the experiments of Morgenstern, Kulka and others it was 
 discovered that the porcelain cements have a far higher resistance to 
 acids than have ivory 357 and the enamel of natural teeth. 358 
 
 This fact is of special importance inasmuch as it provides the key 
 to the constitution of the silicate cements. It is also important to 
 observe that some of these cements possess this high resistance even 
 before they are fully hardened ! This fact also provides means for 
 studying the course of reactions which occur during the hardening and 
 in this way excludes a priori a number of hypotheses which will be 
 mentioned presently. 
 
 Critical Examination of various Hypotheses concerning the Course of 
 Reaction during the Hardening of the Porcelain Cements 
 
 Experimental results are available from which it is possible to 
 learn the course of the chemical reactions which occur in the hardening 
 of porcelain cements. It is clear that so long as no scientific and well- 
 founded theory was put forward, these results must remain in the 
 background. Several of these hypotheses must, however, be aban- 
 doned, if the high resistance of the half -hardened cement to acids is to 
 be taken into consideration. 
 
 Jung 359 was one of the first to endeavour to explain the chemical 
 changes which result in the hardening of the porcelain cements. He 
 first assumed that the powders are " chemical compounds of silica, 
 alumina, lime," etc., but found an "important error" in the com- 
 position of these cements and was led to conclude that, on mixing the 
 
206 CONSEQUENCES OF THE H.P. THEORY 
 
 powder with the fluid, a separation of lime and magnesia in the form 
 of calcium and magnesium phosphate i.e. a separation of readily 
 soluble substances must occur. " The solubility of these substances 
 in acids," says Jung, " may be reduced by the admixture of alumina, 
 silica, etc., but it can never be removed altogether." 
 
 The proved slight solubility of the porcelain cements in acids is 
 clearly opposed to the separation of lime and magnesia as just sug- 
 gested. 
 
 Morgenstern 360 also appears to have discovered the same " import- 
 ant error " as Jung. " We know," he says, " that the general chemical 
 composition of the cements is due to their calcium and magnesium 
 contents, and that the reaction between the powder and the fluid 
 results in the formation of calcium and magnesium phosphates, which 
 are known to be readily soluble in acids. This naturally leads us to 
 fear that dental stoppings made of such cements cannot have much 
 resistance to the acids present in the human mouth . ' ' Yet Morgenstern 
 has, himself, shown the great resistance of these cements to acids, and 
 has further demonstrated that the reactions which take place during 
 hardening must be different from those mentioned in the above 
 quotation. 357 ' 358 
 
 Kulka 361 , in 1909, published a theory concerning the chemical 
 reactions occurring during the hardening of porcelain cements, accord- 
 ing to which the action of the acid on the powder produces successively 
 primary, secondary and tertiary calcium phosphates. This theory is, 
 however, opposed to the resistance of the silicate masses to acids 
 which Kulka has, himself, proved 1 
 
 Schreiber 362 has severely criticised Kulka's theory, and has rightly 
 demanded that any theory of the hardening of a cement must neces- 
 sarily explain why the calcium compounds produced do harden. 
 Any theory to be satisfactory must, for example, explain why a cement 
 fluid which has been diluted with water effects a more rapid hardening 
 than the concentrated fluid, and so forth. For this fact the Kulka 
 theory affords no explanation. 
 
 Rawitzer 363 has also attempted to explain the course of the re- 
 actions which produce a hardening of the porcelain cements ; but his 
 suggestion that the phosphoric acid in the cement fluid causes the 
 precipitation of the whole of the silica in the aluminosilicate powder 
 in an insoluble form is directly opposed to general experience with 
 regard to the behaviour of aluminosilicates. Moreover, silica pre- 
 cipitated in an insoluble form from aluminosilicates must usually be in 
 the form of a gelatinous mass, yet in porcelain cements this form is not 
 produced. 
 
 Somewhat more noteworthy is the hardening theory suggested by 
 Apfelstadt 364 , who considers the powder to be composed of a mixture of 
 alumina and clay. On mixing this powder with the fluid, the alumina 
 combines with the "free phosphoric acid" in the latter, A1 2 (P0 4 ) 2 
 being precipitated. This precipitate " cements the previously formed 
 
ARE PORCELAIN CEMENTS MIXTURES? 207 
 
 aluminium phosphate and the clay substance together." This investi- 
 gator also attributes the poisonous action of the silicate cements to 
 the presence of " free phosphoric acid." His theory affords no explana- 
 tion of the great resistance of the fully hardened cements to acids. 
 It is well known that clay substance is resistant to acids, yet the 
 alumina and the " cemented aluminium phosphate " must be readily 
 soluble in acids. What, also, is to be said about the lime and mag- 
 nesia ? To this question, Apfelstadt's theory affords no answer. 
 Moreover, the expression " cemented " is by no means a clear one. 
 In short, Apfelstadt gives no satisfactory explanation of hardening, 
 and his opinion that porcelain cements are mixtures of alumina and 
 clay substance is without foundation. 
 
 From the foregoing pages it will be readily understood how feeble 
 and unsatisfactory are the theories criticised and that the investiga- 
 tions hitherto made have led to no results of importance. Hence there 
 are reasons for supposing that an application of the H.P. theory of 
 silicate constitution to the hardening of porcelain cements is not with- 
 out interest. 
 
 Before attempting this, however, it is desirable to enquire whether 
 the porcelain cements, as such, are single chemical compounds, as it is 
 only then that they can be elucidated in the light of the silicate 
 theory. 
 
 As the result of numerous investigations made by them in the 
 manufacture of porcelain cements and of their studies of such cements 
 as are now obtainable commercially, the authors of the present volume 
 have reached the conclusion that these substances are really single 
 chemical compounds, chiefly calcium aluminosilicates. 
 
 The chief reason for supposing them to possess this unitary 
 character is the manner in which they are produced : useful cements 
 can only be made from clays (hydro-aluminosilicates) and lime or other 
 bases mixed in definite stoichiometric proportions and heated to 
 redness. 
 
 It is also impossible to separate a porcelain cement into different 
 ingredients by mechanical treatment, such as washing with an inert 
 fluid. Such fractions as are obtained in this manner all have the same 
 composition. 
 
 The unitary character of these compounds is confirmed by the 
 following : It might be supposed that the silicate powder is composed 
 of mixtures of calcium aluminate and calcium silicate or calcium 
 aluminate and aluminosilicate, or of silica, calcium aluminate and 
 aluminosilicate. These constituents could then be readily separated 
 on account of their different specific gravities. But no such separation 
 is possible ! The high resistance to acids of such mixtures in the form 
 of half -hardened cements, as found by Morgenstern and Kulka, would 
 be inexplicable. The contrary is really the case ! Furthermore, the 
 presence of some constituents, such as calcium aluminate or calcium 
 silicate, is thereby excluded, as these products, even after being heated 
 
208 CONSEQUENCES OF THE H.P. THEORY 
 
 to redness, readily absorb C0 2 from the air. On mixing a given 
 porcelain cement with the cement acid an evolution of C0 2 should 
 therefore be observable, but this is not the case. 
 
 The objection may be raised that a study of the Patent Specifica- 
 tions leads to the conclusion that many porcelains cannot be single 
 compounds. Thus 0. Hoffmann (German patent No. 199,664, Kl. 30h 
 of 7th April, 1907) claims a " Method of producing dental cements 
 characterised by the use of aluminosilicates alone or in admixture 
 with other substances." 
 
 A suggestion of the non-unitary character of porcelain cements is 
 also given in Rawitzer's German patent, No. 196,510, Kl. 30h of 20th 
 November, 1905, in which he claims " the production of a dental 
 cement-powder for transparent dental stoppings which is to be mixed 
 with phosphoric acid before use." This powder is made by " mixing 
 heated but unfused aluminium silicate A1 2 O 3 Si0 2 with a previously 
 melted mixture of calcium aluminum oxide and silica." 
 
 The study of commercial porcelain cements made by the manu- 
 facturers previously indicated show beyond all doubt that their 
 dental cements were not made according to this recipe ! For instance, 
 a " cement " which contained a large proportion of precipitated 
 aluminosilicate was entirely useless as a dental cement on account 
 of the ready solubility of the precipitated aluminosilicate in acids, and 
 the ready decomposition of the " cement " by acids. The ordinary 
 porcelain cement made by the same manufacturer is, like all other 
 cements of clay, very resistant to acids, so that these cements cannot 
 contain a large proportion of precipitated aluminosilicate. 
 
 There is no doubt that the various porcelain cements do contain 
 admixtures of salts (basic and acid) and, possibly, small quantities of 
 precipitated aluminosilicate, these being added to give certain definite 
 characteristics to the material and to regulate the time of setting and 
 hardening. 
 
 It is also well known that only in the rarest cases are the recipes 
 in the Patent Specifications correct for making commercial products. 
 For instance, the patentee of the well known Rostaing cement was the 
 first to use zinc phosphate for dental purposes. Yet Rostaing was, 
 after Jung's 365 recommendations, so careful and took such pains to 
 express himself so broadly and in such an incomprehensible manner 
 that it has not, so far, been found possible to produce a cement having 
 all the properties possessed by Rostaing's own preparation by follow- 
 ing the directions in the Patent Specification. 
 
 Hence the Patent Specifications cannot be regarded as being 
 opposed to the unitary nature of the porcelain cements. 
 
 A physico-chemical Theory of the Hardening of Porcelain Cements 
 
 In formulating a theory of the hardening of porcelain cements, the 
 following matters must receive special attention : 
 
 (a) The chemical constitution of the porcelain cements. 
 
ARE PORCELAIN CEMENTS MIXTURES? 209 
 
 (6) The attraction of aluminosilicates for acids and bases.* 
 ' (c) The physico-chemical progress of the hardening. 
 
 (a) The Chemical Constitution of the Porcelain Cements 
 
 It has already been shown that a hydro-aluminosilicate of the 
 formula 
 
 II 
 
 I I 
 H 20 (Si-Al-Al-Si) 
 
 contains two kinds of hydroxyls : a- and s-hydroxyls ; the former 
 playing the most important part in ultramarines and the latter in 
 Portland cements. 
 
 In Portland cements the hydrogen of s-hydroxyls the s-hydrogen 
 
 may be substituted by monovalent basic groups, viz. R" OH, 
 
 R" O R" - OH, etc., where R"=Ca. These are termed " hydrobasic 
 groups " and according to the number of R"-atoms are indicated by 
 (1), (2), etc. By separation of the elements of water in two neighbour- 
 ing, i.e. ortho-hydrobasic, side-chains, the anhydrobasic groups : 
 
 - R"\ -O - R" O - R"\ t 
 O R"/ O R' O R"/ 
 
 are formed and are distinguished according to the number of 
 R"-atoms by 2, 3, 4, etc. (p. 166). 
 
 The porcelain cement powders differ from the above silicate 
 cements inasmuch as they contain only a few silicate side-chains ; 
 and the number of R"-atoms is 1. 
 
 The following are typical porcelain cements : 
 
 R'O 6 A1O 6 Si0 R"0 6 A10 5 Si0 2 R'O 3 Al 0* 10 Si0 
 
 23 2 23 
 
 jo__/ \/ \/ \/ \ 1 
 
 10= |Si|Al|Al|Si| =1 o etc. 
 
 4R"O-6Al 2 3 -12SiO 2 
 
 These porcelain cements also differ from other silicate cements in 
 that they only form transparent, stone-like masses when mixed with 
 certain acids, viz. aluminophosphoric acids, or such of their salts as 
 have a certain composition, to be mentioned later. 
 
 * The authors of the present volume use the term acido- or baso-phile (from philos 
 =fond of) for any substance which has an attraction for an acid or basic dye-stuff. 
 A. B. S. 
 
210 CONSEQUENCES OF- THE H.P. THEORY 
 
 The Attraction of the Aluminosilicates for Acids and Bases 
 
 The acido- and baso-philism of the aluminosilicates must be 
 specially considered, as this property of the aluminosilicates plays an 
 important part in the reactions under consideration. 
 
 For example, in the hydro-aluminosilicate 
 
 I I il I 
 H 12 (Si Al Al S A i), 
 
 both the a- and s-hydroxyls are acido- and baso-philic, i.e. the a- 
 hydrogen and the s-hydrogen may be substituted by monovalent acid 
 and basic radicles. There is a great difference between the degree of 
 acido- and baso-philism * of these hydrogen atoms : the a-hydrogen 
 atoms are strongly acidophilic and only feebly basophilic, but the 
 5-hydrogen atoms are strongly basophilic and are only feebly acido- 
 philic. 
 
 These properties of hydro-aluminosilicates, which are very im- 
 portant in connection with the reactions which occur in the hardening 
 of cements, may be further shown in the following : 
 
 1 . The topaz molecule 
 
 Fl FL Fl 
 
 il I 
 Fl F1 2 Fl 
 
 must, if the foregoing hypothesis is correct, have the monovalent 
 fluoric acid radicle strongly bound to the aluminium radicle and only 
 feebly to the weakly acidophilic silicon radicle. In any case the 
 fluorine must be bound more strongly to the aluminium radicle than 
 to the silicon radicle. 
 
 The fact that the topazes contain at least 8 fluorine atoms, shows 
 that when natural changes occur the fluorine splits off from the 
 silicon ring and not from the aluminium one, i.e. the fluorine is bound 
 more strongly to the aluminium than to the silicon ring, as the theory 
 implies. 
 
 2. The relatively feeble basophilism of the a-hydroxyls and the 
 strong basophilism of the s-hydroxyls are shown by the interesting 
 studies of Gans 367 on the " artificial zeolites " or " permutites." Gans 
 found that the aluminosilicates showed a variation in the strength of 
 the bond between them and the alkalies and alkaline earths, 
 the bases in some cases being readily and completely replaced by 
 
 * See footnote on p. 209. 
 
ACIDO- AND BASO-PHILISM 211 
 
 others, whilst in others, substitution could only be effected with 
 difficulty. 
 
 Gans inferred (in agreement with the theory stated above) that the 
 readily replaceable alkalies and alkaline earths are combined with 
 alumina, those bases which are replaced with greater difficulty being 
 attached to the silicon. In other words, he concluded that the a- 
 hydroxyls are feebly basophilic and the s-OH groups are strongly 
 basophilic. 
 
 Gans has applied this ready replaceability of the a-bases of the 
 aluminosilicates in an ingenious and practical manner. For instance, 
 in the sodium silicate A, viz. : 
 
 Na Na Na Na 
 
 I I I I 
 
 Na /\/\/\/\_ Na 
 
 ** | Si | Al| All Si | 
 ~~ 
 
 Na Na Na ISTa 
 A. 
 
 the a-sodium must be readily replaced on treatment with aqueous 
 solutions of Ca, Fe", Mn, etc., forming B, viz. : 
 
 Na R" 
 
 I I 
 
 N 
 
 ia 
 B. 
 R"=Ca, Fe, Mn, etc. 
 
 Conversely* the compound A may readily be formed by treating B 
 with an aqueous solution of sodium chloride. 
 
 The great technical importance of such properties of the a-bases is 
 obvious. Thus, by suitable treatment of the sodium silicate A with 
 water, it can remove calcium and magnesium bases from solution, i.e. 
 it can be made use of in softening hard water. 
 
 The a-bases may also be used for other industrial purposes, e.g. 
 to replace potassium in molasses and syrups in the sugar industry by 
 sodium or calcium. 
 
 For this reason the following patents (see Siedler 368 ) are interesting : 
 
 (a) An invention for treating water for domestic and technical 
 purposes, distinguished by filtering the water through hydrous alumino- 
 silicates, whereby the undesired bases such as iron oxide, manganese 
 oxide, lime, magnesia, etc., are replaced by others which are desirable 
 or at least harmless. 
 
 (b) An invention for replacing the potash, in sugar syrups and 
 molasses, by other bases, distinguished by filtering the said syrups and 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 molasses through aluminosilicates, whereby an exchange of bases 
 occurs, the potassium in the syrups being replaced. 
 
 3. The acido- and baso-philism of the aluminosilicates are also 
 shown by their amphichromatophilism, i.e. their relation to both acid 
 and basic dye-stuffs, as has been shown by Hundeshagen 369 in the case 
 of kaolin. Concerning this, Hundeshagen wrote : "A peculiar form 
 of amphichromatophilism is observable in kaolin, which behaves as 
 though the silica and alumina could act independently towards dye- 
 stuffs. The influence of the silica is by far the strongest, and it is to 
 this that clay owes its very basophilic character ; almost equal, in fact, 
 to that of amorphous silica. At the same time there is a weaker, yet 
 still distinct, oxyphilism which is completely analogous to the oxy- 
 philism of free alumina." 
 
 Hundeshagen therefore considers that in the kaolin molecule there 
 are both alumina-hydroxyls (=a-hydroxyls) and silica-hydroxyls 
 (=s-hydroxyls). 
 
 4. The acido- and baso-philism of kaolin may also be observed in 
 the colours known as "kaolin-lakes," which are formed by the action 
 of kaolin on acid and basic dye-stuffs. The basophilism is stronger than 
 the acidophilism, so the kaolin lakes with basic dye-stuffs play a highly 
 important part in technology of lakes, whilst kaolin-lakes containing 
 acid dye-stuffs have a much feebler colouring power and are, technically, 
 of much less importance. 
 
 5. According to Hundeshagen, the acido- and baso-philism of 
 kaolin are due to the fact that kaolin can withdraw acids from acid 
 solutions and bases from alkaline ones. 
 
 6. The acidophilism of the a-hydroxyls of kaolin is shown by the 
 constitution of ultramarine, and particularly from the behaviour 
 (observed by Silber) of the compound : 
 
 Na 12 (Si-Al-A A l-S A i) 
 
 towards HC1 and that of the product thus formed, 
 
 Na 8 H 4 (Si-Al-Al-Si), 
 
 towards AgN0 3 , as well as by the formation of the sodalites (p. 152). 
 The somewhat strong acidophilism of the a-hydroxyls and the very 
 strong basophilism of the s-hydroxyls are of importance in connection 
 with physio-chemical reactions which take place during the hardening 
 of the porcelain cements, as described in the next section. 
 
 (c) The Physio-chemical Eeactions occurring during Hardening 
 
 The hardening of porcelain cements is physio-chemically analogous 
 to that of other silicate cements, such as Portland and slag cements, 
 the molecules undergoing a series of hydration phases, just as do those 
 of Portland cement (p. 173). The porcelain cements are also " hydrau- 
 lites " (p. 174), but, unlike the Portland and slag cements, they only 
 harden in the presence of certain acids. If the powdered portion of a 
 
THE HARDENING OF DENTAL CEMENTS 
 
 213 
 
 porcelain cement is more basic than usual, acid salt solutions may 
 induce hydration phases. 
 
 Two classes of porcelain cements may, conveniently, be dis- 
 tinguished : 
 
 1. Porcelain cements of which the fluid portion is acid acid 
 cements or ^.-cements. 
 
 2. Porcelain cements of which the fluid portion is an acid salt 
 solution * saline or E-cements. 
 
 The 2-cements have several advantages over the A -cements. 
 The chemical reactions involved in hardening porcelain cements 
 consist chiefly of two parts : 
 
 (a) Hydration, and 
 
 (6) Condensation, or formation of an acid or salt with simultaneous 
 loss of water. 
 
 (a) Hydration 
 
 Hydration consists, as in the hardening of Portland cement, in a 
 series of hydration phases as shown in the following example : 
 
 10== Si I All All Si I _ 
 
 4 RO 6 A1 2 3 12 Si0 2 
 (a) 
 
 I I 
 
 = SiAlAlSi 
 
 I I 
 
 RO 2 H 2 . 6 A1 2 3 12 Si0 2 
 (b) 
 
 1 I 
 
 \/ 
 
 Si I Al I Al I Si 
 
 I I I I 
 
 1 o == /\/\/\/\ ==1 o 
 
 r J Si | Al | Al | Si] =io 
 
 I I I I I I 
 
 4 RO 3 H 2 6 A1 2 3 12 Si0 2 4 RO 4 H 2 6 A1 2 3 12 Si0 2 
 
 (c) (d) 
 
 4 RO - 5 H a O 6 A1 2 3 12 SiO, 
 (e) 
 
 * Although the term ' ' acid salt solutions ' ' is used for convenience, it should be under- 
 stood that acid-reacting salts are really meant, and not the true acid salts which con- 
 tain H-ions. Solutions of metallic salts are known (p. 228), which do not appear to 
 contain H-ions and yet have an acid reaction. 
 
 Even if the acid reaction of these fluids is referred to the presence of H-ions, or 
 if these ions should be found in some of them, there still remains a large difference 
 between a porcelain cement containing free acid and one containing an acid salt, par- 
 ticularly when the physiological action of the cement is considered. 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 111 
 
 \/\/\ 
 
 SilAllAl Si 
 
 I! I I II 
 ! /\/\/\/\ 
 
 - 
 
 1 o _ ' I I I I _ i o /-\\ _ I _ /I \ 
 
 II I I II II I I II 
 
 4 RO 6 H 2 6 A1 2 3 12 Si0 2 4 RO 10 H 2 6 A1 2 3 12 Si0 2 
 
 (*) (g) 
 
 This large number of hydration phases is accompanied by a notable 
 development of heat, particularly at the beginning. 
 
 (b) Condensation 
 
 As soon as the hydration assisted by the acid or acid salt solution 
 ceases, the second stage of hardening condensation commences. 
 
 If the fluid portion of the cement is a complex acid, as shown by 
 the acidophilic a-hydroxyls, water will be separated and the acid 
 radicle will attach itself to the silica molecule. 
 
 On account of the somewhat strong acidophilism of the a-hydroxyls 
 on the one hand and the very strong basophilism of the s-hydroxyls 
 on the other, it is highly probable that acids will attach themselves 
 to the silica ring without any separation of base from the silica side of 
 the molecule. 
 
 The constitution of a hardened mass of an -4-cement will, thus, be : 
 
 m 
 
 A A 
 
 According to this constitution, if, for instance, A is an alumino- 
 phosphoric acid, such a substance must be a strongly acid salt of a 
 triple acid. 
 
 The addition of a complex acid to a cement powder is by no means 
 a neutralisation of the former in the ordinary sense of this word, 
 although on account of its insolubility the hardened mass may react 
 neutral to litmus. There is, in fact, a large number of substances 
 which, being insoluble, react neutral to litmus and yet are, constitu- 
 tionally, acids. Kaolin is a typical substance of this kind. 
 
 A hardened 2-cement has probably an analogous constitution : 
 
 aq. 
 
THE HARDENING OF DENTAL CEMENTS 215 
 
 A completely saturated substance of this kind is, therefore, 
 analogous to Thugutt's sodalites (p. 60) and the E-ultramarines whose 
 mode of formation has been shown in previous pages to be due to the 
 formation of condensation products. The ^4-cements, on the contrary, 
 are analogous to the ^4 -ultramarines (p. 140). 
 
 These structural formulae indicate that a molecule of a cement may 
 be combined with four molecules of acid or of 2, but this can only 
 be the case occasionally. 
 
 The above structural formulae for fully saturated dental cements 
 are only for a given case, as the structure of these substances must, 
 naturally, vary with the ratio of powder to fluid. Some of these 
 cements may, for example, have the formula 
 
 (1)= 
 (1)= 
 
 OH OH 
 
 others contain an excess of acid (2) or of uncombined A or 2. The 
 constitution of hardened cements of other compositions may be 
 regarded as analogous. 
 
 The physio-chemical reactions occurring during hardening are 
 thus clearly shown by means of this theory. On the physical side, the 
 following may be added : 
 
 If the cement mass is regarded as a sphere composed of different 
 layers as in Fig. 3, 370 the hardening takes place from the circum- 
 ference towards the centre. The outer layer a 
 hardens without any external pressure, but in the 
 case of 6, any expansion is opposed by the harden- 
 ing outer layer a. The same occurs with layers c and 
 d, only they cannot expand so much. Hence the 
 hardness and density of the mass must increase as 
 the interior is approached and the outermost layer 
 must be the softest. An examination of phos- 
 phate cements confirms this view, the outer portion of an old dental 
 stopping being more or less worn, whilst the interior is found to be 
 much harder. 
 
 Consequences of the Theory and the Facts 
 A 
 
 From the theory it follows that the formulae calculated from the 
 analyses of the porcelain cements must be arranged to represent 
 compounds whose existence is theoretically possible. Unfortunately, 
 very few analyses of porcelain cements have been published. The 
 
216 CONSEQUENCES OF THE H.P. THEORY 
 
 investigations of the authors 371 have shown that the powders contain 
 approximately 
 
 CaO A1 2 3 Si0 2 
 
 6-12% 38-50% 40-44% 
 
 One analysis leads to the formula 
 
 ca ca 
 
 /\/\_l 
 
 Al|Si)>=l (Ca=JCaO) 
 ~ 
 
 3 CaO 6 A1 2 3 10 Si0 2 Loss on ignition 
 Calcd. 11.20 40.80 40.60 8.00 
 
 Found 12.10 38.19 40.60 8.23 
 
 The 6-12% CaO in the porcelain cements shows that the powder 
 contains fewer R" side-chains than the Portland cements. This 
 relatively small proportion of CaO also explains the great resistance of 
 these cements to acids, as experiments with complex acids have shown 
 that the power of the molecule for combining with a base increases 
 inversely as the amount of base present (pp. 94, 108, 262, 263, 265, 
 etc.). The non-separation of this CaO by the action of the fluid 
 portion of the cement may also be regarded as being due, in all 
 probability, to the acidophilism of the Al- and the basophilism of the 
 Si-rings. 
 
 B 
 
 The absorption of water during hardening must be capable of being 
 represented stoichiometrically, as it is in Portland cements. The 
 hardened mass must contain various forms of combined water : water 
 as R" OH, water in the form of OH-groups attached to the silicon 
 ring and " water of crystallisation." Of these, the maximum amount of 
 water combined with R" and with silicon respectively must 
 a priori be capable of prediction. No direct determinations of these 
 forms of water have been published. 
 
 C 
 
 The hydration of the porcelain cements must proceed gradually 
 like that of the Portland cements. It must, therefore, be possible to 
 prove a gradual growth of the various OH-groups by determining the 
 amount of water in the porcelain cements at various periods during 
 the hardening. 
 
 This consequence of the theory was confirmed, in the case of 
 Portland cements, by a series of hydration experiments by v. Teicheck 
 and others (p. 180), but no such determinations have, as yet, been 
 made with porcelain cements. 
 
THE HARDENING OF DENTAL CEMENTS 217 
 
 D 
 
 The duration of the various hydration phases is a very interesting 
 subject. In the case of the porcelain cement powders, with their 
 relatively low content of base, the duration of the hydration phases 
 must, cceteris paribus, depend on the following factors : 
 
 1. The constitution of the silicate molecule. 
 
 2. The acidity of the cement acid. 
 
 3. The temperature at which the hardening occurs. 
 
 4. The proportion of water in the cement fluid. 
 
 5. The physical conditions of the cement powder. 
 
 As regards the first factor the constitution of the silicate molecule 
 it is clear that the various silicate molecules must hydrate at 
 different rates. 
 
 As an increase in the acidity of the cement fluid must increase the 
 speed of hydration, it is clear that, cceteris paribus , those porcelain 
 cements of which the fluids contain more acid must harden more 
 rapidly than those with a less acid fluid. 
 
 As, on the contrary, the hydration begins more readily when the 
 basic content of the silicate molecule is increased, a reduction of the 
 acidity of the cement fluid must effect a corresponding increase in 
 the basic content of the silicate molecule if a definite rate of hardening 
 is to be reached. 
 
 The temperature at which the hardening occurs exercises an 
 important influence on the rate of hardening, the higher the tempera- 
 ture the quicker the hardening, and vice, versa. The extent to which 
 the rate of hardening is increased by a rise of (say) 10 in temperature 
 must be determined by direct experiment. 
 
 For a definite acidity in the fluid portion of the cement, the rate 
 of hardening must naturally depend on the proportion of water in 
 the fluid : the larger the proportion of water the more rapid the 
 hardening, and vice versa, as in the former a quicker, and in the latter 
 a slower hydration occurs. 
 
 The ability of the silicate molecule to undergo hydration also 
 depends, cceteris paribus, on the physical condition of the cement 
 powder : the coarser the powder the slower and feebler the hydration, 
 the finer the texture the greater its reactability. 
 
 This consequence of the theory is fully confirmed by experience. 
 With some ^4 -cements the hardening is so rapid that the powder must 
 contain coarse grains as well as fine ones in order to reduce the rate of 
 hardening within convenient limits, or special instructions must be 
 issued to users that the fluid must be added in small quantities and 
 very slowly. 
 
 There is a possibility, in the case of some of the slower 2-cements, 
 of so regulating the rate of hardening that at blood heat (37 C.) they 
 harden at a normal rate and can thus be used for dental purposes. This 
 is effected by arranging the size of the grains in the powder and the 
 concentration of the fluid portion of the cement. 
 
218 CONSEQUENCES OF THE H.P. THEORY 
 
 At the ordinary temperature, the 2-cements usually harden more 
 slowly than the JL-cements, and a number of writers have considered 
 this to be a defect in the E-cements. As a result of this slower harden- 
 ing of the E-cements they contain uncombined 2 (i.e. uncombined, 
 feebly acid salts) in solution for a longer time after the commencement 
 of the hardening than do the ^t-cements, and, consequently, they have 
 an acid-like reaction towards litmus for a longer period. This has led 
 to the false conclusion that the 2-cements are detrimental to the 
 pulpa. 
 
 In reaching this conclusion the following have been overlooked : 
 
 1. That the dental cements should not harden at the ordinary 
 temperature, but at blood heat, and this is, as already shown, the 
 temperature at which they harden best. 
 
 2. No importance can be attached to the suggestion that these 
 cements are harmful to the pulpa, as the reddening of litmus by them 
 is not due to a strong A -acid, but to a weakly 2-acid salt solution. 
 
 E 
 
 It also follows from the theory, that the hardening of a porcelain 
 cement must occur in a series of phases. This consequence of the 
 theory is fully confirmed by practical experience. Morgenstern 372 has 
 shown that, in most cements, the first hardening is followed by molecu- 
 lar changes, which in some cases are completed within 3 hours, but in 
 others are not fully completed in 24 hours. In confirmation of this is 
 the fact, proved by Morgenstern, that the strength of these cements 
 increases if, after the first period of 3 to 24 hours, they are kept out of 
 contact with air or moisture. 
 
 Wege 373 has also distinguished two stages in the hardening of 
 porcelain cements. 
 
 1. The setting stage, which, according to Wege, "lasts 15 to 20 
 minutes. If it takes place at blood heat, it is accompanied by a 
 marked evolution of heat owing to the rapidity with which the physio- 
 chemical changes occur. During this stage these cements become so 
 hard that they may be cut and polished. At ordinary room temperature 
 the hardening takes place much more slowly. 
 
 " The sensitiveness of the freshly mixed cement to moisture and 
 to saliva is characteristic of the first stage of the hardening of a 
 porcelain cement. It is, therefore, necessary to perform the operation 
 of tooth-stopping in such a manner that all saliva is excluded until the 
 cement is hardened." 
 
 2. The stone-forming stage commences " after 15 to 30 minutes (at 
 blood heat). The chemico-physical reactions which occur during this 
 second stage of the hardening are less energetic than those in the first 
 stage, and the heat evolved is so small as to be scarcely measurable." 
 
 11 The mass in the second stage is less sensitive to moisture and 
 saliva. This sensitiveness which shows itself by ' killing ' any cement 
 
TOXIC ACTION OF J-CEMENTS 219 
 
 mass mixed with saliva diminishes more and more until it eventually 
 ceases completely. 
 
 " The c stone-forming ' process may be completed in a few hours 
 or it may take 2 to 3 days, different cements varying considerably. It is 
 during this second stage that the cement attains its maximum hardness 
 and density." 
 
 Schreiber 374 , in his critical studies, has also repeatedly called 
 attention to the various phases of hardening of the porcelain cements. 
 
 The inference from the theory that the hardening of the porcelain 
 cements occurs in a series of phases is thus in agreement with the facts. 
 
 It is clear that, previous to the " stone-forming " stage, the 
 hardening of the porcelain cements may be hindered by the action of 
 water, alkalies, and diluted acids, and it is a serious error, in studying 
 the resistance of these cements to acids and alkalies, to treat them with 
 these reagents before the stone-forming stage of the hardening is com- 
 pleted. As already mentioned, Morgenstern and Schreiber have 
 clearly shown the nature of this error in a series of experimental studies 
 made by them. 
 
 F 
 
 In the light of the H.P. theory, the fact that porcelain cement masses 
 have a higher resistance to dilute acids than is possessed by ivory or 
 the enamel of natural teeth is explicable. The acid in the fluid portion 
 of the cement does not decompose the silicate molecule ; it does not 
 cause the separation of any bases which can form easily soluble salts 
 with phosphoric acid or aluminophosphoric acid. The acid in these 
 cements only assists the hydration of the silicate molecule and adds 
 itself to the latter. Dilute acid, if it does not act on the hardened 
 molecule, may, if it has as great an affinity for the silicate molecule as 
 the cement acid, effect a further hydration and may replace it, though 
 this is seldom the case, with dilute lactic and acetic acids. 
 
 This indicates that the cement mass is not readily attacked by 
 acids, a fact which has been proved experimentally. 
 
 The Toxic Action of the ^-cements in the Light of the New Theory 
 
 From what has been written in the foregoing pages, the constitu- 
 tion and properties of the porcelain cements must, undoubtedly, be 
 regarded as new members of the great class of silicate compounds. It 
 is therefore desirable, in the light of the H.P. theory, to find an answer 
 to a question which is both theoretically and practically of the greatest 
 importance. It has been stated that some porcelain cements have a 
 serious disadvantage in that they cause dangerous inflammation and 
 destroy the nerves (pulpa) of the teeth, with all the consequences which 
 follow these actions. 
 
 For several years there has been a bitter fight as to whether the 
 toxic character of these silicates may be prevented. The chief difficulty 
 in solving this problem appears to lie in the lack of knowledge of their 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 constitution and the course of the reactions during the hardening of 
 the material. Moreover, the question as to the toxic action of porce- 
 lain cements containing strong acids the A -cements are the only 
 ones which have been found to affect the pulpa is purely a physio- 
 logico-chemical one, and yet no one has endeavoured to answer it 
 with the assistance of physiological chemists and their discoveries of 
 toxines, although this would seem to be a conditio sine qua non to any 
 satisfactory solution. 
 
 The following lines contain the results of an effort to ascertain the 
 cause of the harmful action of some cements and to find a means of 
 preventing it. This effort is based on a consideration of the constitu- 
 tion and the reactions occurring in the hardening of ^.-cements and on 
 a study, of the manner in which the toxines have been found to react 
 physiologically. 
 
 In studying the causes of the toxic action of the A -cements the 
 following consequences of the theory are important : 
 
 1. The action of the acids in the fluid portion of the A -cements 
 the aluminophosphoric acids results, primarily, in the hydration of 
 the silicate molecule, i.e. in the formation of a-, s- and basic-hydroxyls. 
 The combination of the acid with the molecule is a secondary result, 
 and is due to the acidophilic OH-groups. 
 
 The cement, prepared by mixing the powder and the fluid together 
 into a plastic mass, is at once forced into the dental cavity under con- 
 siderable pressure. It is, therefore, clear that it must contain a 
 considerable amount of free aluminophosphoric acid which may 
 gradually find its way to the pulpa. 
 
 2. According to the theory, which is based on the fact of the strong 
 basophilism of the silicate ring and the weak acidophilism of the 
 alumina ring, it follows that, in all probability, the free alumino- 
 phosphoric acid will not cause the separation of the least particle of base. 
 This highly probable consequence of the theory becomes a certainty 
 when the repeatedly observed high resistance to acids of the un- 
 combined or incompletely combined A -cements is taken into considera- 
 tion. 
 
 This consequence of the theory, which is in complete agreement 
 with the observed properties of the cement masses, is of great import- 
 ance in studying the causes of the toxic action of the ,4-cements. 
 Thus, it might be assumed that the 6-12% lime in the A -cement 
 powders would be separated on mixing the powder with the acid fluid, 
 and that if the lime present reached a definite proportion it might, in 
 this way, completely prevent the toxic action of the acid owing to the 
 combination of the acid and lime. From both the theory and the 
 observed behaviour of the ^4-cements towards acids it follows that no 
 such separation of the base can occur. 
 
 The improbability of any separation of lime being brought about 
 by the aluminophosphoric acid on simply mixing the silicate powder 
 and the acid fluid together, is confirmed by the behaviour of highly 
 
TOXIC ACTION OF ^-CEMENTS 
 
 basic cements which have been hardened by treatment with acid, such 
 as the zinc phosphate cements, the powdered portion of which contains 
 90% of zinc oxide. 
 
 In commerce, as may readily be seen from a study of the literature 
 of the subject, there are two kinds of zinc phosphate cements : 
 
 (a) Those in which the fluid portion contains a strong, free acid ; 
 and 
 
 (6) Those in which the fluid portion contains a considerable amount 
 of a stronger base, e.g. zinc oxide. 
 
 The difference is shown in the following Table, due to H. Paschkis : 
 
 Composition of Zinc Cements 
 
 Name 
 
 " Fluid Portion " 
 
 Contains 
 
 Poulson 
 
 fluid 
 
 no zinc 
 
 Entrop 
 Ash 
 
 
 
 ,, 
 
 Griinbaum 
 
 
 little zinc 
 
 Poulson 
 Rostaing 
 
 crystalline 
 fluid 
 
 much zinc 
 
 
 It is clear that these two kinds of zinc phosphate cement may have 
 different chemico-physiological properties. In this connection it is 
 interesting to notice that one of the most famous workers Miller, 
 Professor of Dentistry at Berlin University 376 comments on the 
 repeatedly observed destruction of pulpse by zinc phosphate cements 
 (p. 232), whilst another equally famous operator Prof . Black 377 has 
 observed no such destruction by zinc phosphate cements. These 
 contradictory opinions can only be explained by assuming that 
 Miller used cements containing free acid, whilst Black used those in 
 which the fluid portion contained salts. Other operators have also 
 reported contradictory results, some recommending the use of a 
 protective medium below the cement stopping and others advising the 
 direct use of zinc phosphate cement as providing the most suitable 
 protection for the pulpa. 378 
 
 The destructive action, on the nerves, of zinc phosphate cements 
 containing strong acids in a free state in the fluid portion can only be 
 explained by supposing that not merely the 6-12% of base in porcelain 
 cements, but even the 90% of base in the zinc cement powder, cannot 
 prevent the destructive action of the free acid on the nerves at the 
 moment when the mass is introduced into the cavity in the tooth. 
 
 This surprising fact admits of a complete explanation : the harden- 
 ing of a cement is essentially a slow physio-chemical process and it 
 cannot, by the time the mass is introduced into the cavity, have 
 proceeded far enough for the neutralisation of the strong acid to effect 
 the separation of the base. This behaviour of the highly basic zinc 
 
222 CONSEQUENCES OF THE H.P. THEORY 
 
 phosphate cements thus affords a further confirmation of the im- 
 probability of any separation of the base by the action of the cement 
 acids on silicate powders so poor in basic material as are the A -cements 
 at the moment of their introduction into the dental cavity. 
 
 3. In the light of the H.P. theory, the fully hardened A -cements are 
 really " sodalites " (p. 214). The acid is added to the silicate molecule 
 because of the acidophilism of the a-hydroxyls. Experience has shown 
 that this acidophilism of the silicate molecule is never strong, and in 
 the case of acid dye-stuffs the " lakes " produced are, technically, of 
 minor importance. 
 
 There is a danger on account of the low acidophilism of the a- 
 hydroxyls, that after a long time a separation of free acid may occur 
 and the pulpa be destroyed, the A -cements thus resembling a sleeping 
 volcano which may start its destructive action at any moment. 
 
 According to the new theory, the completion of the hardening of 
 the A -cements need not prevent the acid in them from acting detri- 
 mentally. Definite reports made by various practical dentists show 
 that the deleterious action has been observed a long time after the 
 " stopping " had been inserted ; in some instances after an interval 
 of a whole year. In one case, disease of the pulpa, resulting in the 
 death of the patient, set in more than a year after a shallow cavity had 
 been stopped with ^4-cement. 
 
 The toxic action of the A -cements has now been shown to be due to 
 that of the free aluminophosphoric acid present. The question arises 
 as to whether this toxic action can be proved by chemico-physio- 
 logical experiments in which these free acids are compared with other 
 toxic substances. The answer to this question forms the subject of the 
 following section : 
 
 The Causes of the Neurotropism of Aluminophosphoric Acids 
 (Ehrlich's Theory) 
 
 The term " neurotropism " was suggested by Ehrlich 379 to in- 
 dicate the poisonous action of any material on nerve-substance. 
 
 Before it can be stated that a given substance is, theoretically, a 
 neurotrope it is necessary to understand why modern physiological 
 chemists consider that neurotropism is the result of chemical action. 
 The famous physiologist and bacteriologist, P. Ehrlich, was the first to 
 suggest that only those chemical substances are neurotropic which 
 form a definite chemical compound with the nerve-fibres 380 (side-chain 
 theory). Erhlich reached this conclusion as a result of his study of 
 the so-called vital colour processes. Ehrlich has shown that the various 
 dye-stuffs become localised in the organism according to their chemical 
 constitution. For instance, methylene blue has a special attraction 
 for living nerve-fibres ; other dye-stuffs are chiefly retained by the fatty 
 organs and still others by the substance forming the kidneys. 
 
 As the theory of the chemical combination of the toxines is of 
 fundamental importance if a satisfactory theory which will explain the 
 
THE CAUSES OF NEUROTROPISM 223 
 
 observed properties of porcelain cements is to be obtained, it is neces- 
 sary to mention briefly those facts having any bearing on the 
 theory which have been observed by all well-known physiological 
 chemists. 
 
 Ehrlich's theory is confirmed by the following facts : 
 
 1. Analysis of cases of poisoning by toxines. It is well known, for 
 instance, that when toxines are introduced directly into the blood- 
 stream they rapidly disappear. 381 The rapid combination of injected 
 toxines with the blood has also been observed by von Behring 382 , 
 A. Knorr 383 , Bomstein 384 , de Croly 385 and others. 
 
 2. The investigations of von Behring 386 on tetanus afford a special 
 confirmation of the theory of the chemical combination of the toxines. 
 If animals which are peculiarly liable to tetanus are inoculated with 
 tetanus poison, this is found in all the organs except the central 
 nervous system. In other words, the poison is only feebly combined 
 in the organs first mentioned, but it enters into definite chemical 
 combination with the nerve-substance and cannot then be detected. 
 
 The following fact also supports Erhlich's theory : Knorr has 
 drawn up a '* Scale of Sensitiveness to Tetanus," and finds that the 
 poisonous dose for a hen is 200,000 times that for a horse, the amount 
 being calculated in grammes of poison per gramme of animal weight. 
 Hens have been found by Kitasato to be practically immune from 
 tetanus. 
 
 The very slight sensitiveness of hens as compared with horses may 
 be explained by Ehrlich's theory as due to lack of combining power. 
 This is confirmed by the experiments of Metschnikoff 387 , Azakawa 388 , 
 and of Fermi and Pernossi 389 , which show that insensitiveness to 
 certain poisons is accompanied by the easy recognisability of the 
 toxine in the organism for a long time after its introduction. 
 
 4. The well-known experiment of Robert Koch 390 is a particularly 
 valuable confirmation of the theory of the chemical combination of the 
 toxines. Koch wished to sterilise infected animals with corrosive 
 sublimate, but found that the largest practicable doses had no influence 
 on the parasites, the animals being killed more easily than the para- 
 sites. This can be readily understood in the light of Ehrlich's theory ; 
 the sublimate is organotropic, but not parasitotropic, i.e. it forms 
 definite chemical compounds with the substances forming the important 
 organs of the infected animals, but has no chemical action on the cells 
 of the parasites. 
 
 5. Low's experiments on the action of oxalic acid on plants, is 
 another interesting and valuable confirmation of Ehrlich's theory. 
 
 Oxalic acid is well known as a powerful poison to both animals 
 and plants, and its action was found by Low to be due to its forming 
 definite compounds with lime salts. Hence, according to Low, oxalic 
 acid is only poisonous to those plants whose cells contain lime salts, 
 and it can have no poisonous action on plants, the cells of which are 
 free from calcium compounds. Low has fully proved by direct experi- 
 
224 CONSEQUENCES OF THE H.P. THEORY 
 
 ments that plants which contain no lime salts are not poisoned by 
 oxalic acids. 
 
 Further important confirmation may be found in the results of a 
 large number of experiments, all of which are fully indicative of the 
 production of definite chemical compounds. 391 
 
 Amongst others, Pasteur's Immunisation Therapy, Behring's 
 Serum Therapy (Diphtheria serum), Chemicotherapy, the work of Koch 
 and Uhlenhut on the use of atoxyl in the cure of malaria, and the 
 chemical treatment of infectious diseases (syphilis) by Ehrlich and 
 Hata all yield therapeutic results in support of Ehrlich's side-chain 
 theory. 
 
 There can, therefore, be no doubt that the theory of the chemical 
 combination of the toxines is fully established. 
 
 If it is desired to explain the neurotropism of the ^1-cements (i.e. 
 the poisonous action of the aluminophosphoric acids on nerve-sub- 
 stance) it must be clearly shown that these substances form definite 
 chemical compounds with the nerve-fibres. 
 
 In order to do this it is clearly necessary to : 
 
 1. Have a clear idea of the chemical constitution of the nerve- 
 fibres, and 
 
 2. Produce facts which show the existence of a chemical relation- 
 ship between the aluminophosphoric acids and the nerve-fibres. 
 
 I. The Chemical Constitution of the Nerve-fibres 
 
 The nerve-fibres, like all other animal fibres such as wool and silk, 
 belong to the proteins, 392 i.e. to those substances whose constitutions 
 have been so admirably studied by Emil Fischer and his students. These 
 investigators 393 claim that it has been positively proved that the 
 proteins contain amino-acids, the same fundamental substances 
 appearing in the most widely differing proteins, but in very varying 
 proportions, so that one or other amino-acid may be entirely 
 wanting. This constitution of the proteins is reminiscent of the 
 aluminosilicates which also contain a few fundamental substances 
 combined in the most varied proportions. For instance, in the pro- 
 teins, the following amino-acids are found : glycoeol, d-alanine, 
 Z-leucine, d-glutaminic acid, amino-oxysuccinic acid, diaminoacetic 
 acid, etc. 
 
 As the complete hydrolysis of proteins by acids and alkalies 
 always yields the same results, E. Fischer and his associates concluded 
 that the amino-acids in them are not secondary, but are an integral 
 part of the protein molecules. Hence the proteins are complex acids 
 and must behave towards acids and bases in a manner analogous to 
 other complex acids. As a matter of fact, the albumens are usually 
 represented as multiple acid bases and multiple basic acids, i.e. they 
 have a marked baso- and acido-philism and form compounds with both 
 acids and bases. This ability of the albumens to combine with acids 
 and bases has been investigated by several methods. 394 
 
THE CAUSES OF NEUROTROPISM 225 
 
 II. The Chemical Relationship between the Nerve-fibres and the 
 Aluminophosphoric Acids 
 
 If it may be accepted as a definite fact that the nerve-fibres, like 
 animal fibres generally, are chiefly proteins (amino-acids), it is clear 
 that such substances may form definite compounds with either simple 
 or complex acids, especially as Friedheim and his associates have 
 found, as the result of a large number of experiments, that complex 
 acids can not only combine with bases, but also with other acids, and 
 other chemists have proved the existence of amino groups. 
 
 That the facts fully confirm the possibility suggested by theory 
 is shown by the mordanting of animal fibres by sesquioxide compounds 
 such as aluminosulphates (alums), aluminoacetates, etc., i.e. by the 
 various complex alumino-acids. 395 The properties of the alumino- 
 phosphates such as the existence of aluminophosphates with very 
 different proportions of phosphoric acid and alumina, which can pass 
 into one another ; the impossibility of replacing the alumina by other 
 bases by double decomposition ; the masking of the phosphoric acid 
 by alumina in agriculture, etc. show that their constitution is 
 analogous to that of the aluminophosphates and aluminoacetates, and 
 there can be no doubt that they have a special chemical relationship 
 to the nerve-fibres. In short, the aluminophosphoric acids are, in 
 accordance with Ehrlich's theory, neurotropes or nerve poisons. 
 
 It is very probable that the proteins, like the aluminosilicates, 
 have a cyclic constitution, i.e. they apparently consist of N- and C- 
 hexites and pentites. The combination of animal (nerve) fibres and 
 the complex alumino-acids the corrosives is most probably analo- 
 gous to that of the complex acids : two neighbouring OH-groups in 
 the animal fibre combining with two similar (ortho) OH-groups in the 
 alumino-acid with loss of water. The resultant complex can then, in 
 an analogous manner (i.e. on losing water), unite with dye-stuffs, the 
 combination of these being thus effected by means of the OH-groups 
 in the alumino-acids. From this it follows that only dye-stuffs with 
 ortho-hydroxyl groups can combine with alumino-acids and can be 
 used as dyes. This interesting consequence of the theory has been 
 fully confirmed by the experiments of C. Liebermann and St. Kon- 
 stanecki 396 , who have shown that the only oxyanthracinones which are 
 fixed dyes are those containing two ortho-hydroxyl groups. C. 
 Liebermann has converted non-dyeing colours into strong dyes by the 
 introduction of two ortho-hydroxyl groups, particularly in the case of 
 fluorescines, eosines, 397 malachite green, 398 fluorines, 399 oxyaurenes, 400 
 etc. 
 
 What can be said in regard to the physiologico-chemical action of 
 the 2-cements ? 
 
 The experience of Black and Schreiber with S-phosphate cements 
 shows that the 2-silica cements are non-poisonous to the nerves of the 
 teeth. The plastic mass of Z-cement does not contain free alumino 
 
226 CONSEQUENCES OF THE H.P. THEORY 
 
 phosphoric acid, but an acid saturated with zinc oxide, i.e. a zinc salt, 
 which must, naturally, behave in a different physiologico-chemical 
 manner towards the nerves. According to Ehrlich's theory, all toxic 
 action is excluded in the case of 2-cements, as investigations on the 
 dyeing of animal fibres show 401 that, in the absence of mordants, the 
 colour can only be fixed on wool and silk when the dye-bath is acid, 
 i.e. only when the dyestuff-acid is in a free state. From this it follows 
 that only free acids have any action on the nerve-fibres, salts being 
 inert in this respect ; in other words, solutions of zinc salts can form 
 no definite chemical compound with nerve-fibres, i.e. they are not 
 neurotropic. 
 
 It is very remarkable that, according to Siem's investigations, 738 
 complex compounds of aluminium (sodium alumino-lactate), when 
 injected subcutaneously into animals, are found to be highly poisonous. 
 On injecting relatively large doses of these compounds into the blood, 
 death occurred after seven to ten days. The daily subcutaneous in- 
 jection of small quantities into dogs, cats and rabbits, caused death 
 within three to four weeks after the introduction of a total weight of 
 0.25 to 0.30 grammes A1 2 3 per kilog. of animal weight. 
 
 The fact discovered by Dollken 739 in repeating Siem's experiments 
 is even more interesting. Dollken confirmed Siem's conclusions and 
 also found that, in accordance with the H.P. theory, these poisonous 
 aluminium compounds are essentially nerve poisons. He found that in 
 animals which had died from injections of these substances the nerve- 
 roots were degenerated and that marked changes had occurred in the 
 nerve-cells. The central nervous system is the part most affected by 
 these poisonous aluminium compounds ; the outlying nerves not being 
 appreciably affected. 
 
 Siem and Dollken have also shown that it is a further characteristic 
 of aluminium poisoning that time is required before any symptoms of 
 poisoning are observable. Neither investigator noticed any acute 
 symptoms of poisoning, even when large doses were administered. 
 This experience is a complete agreement with the symptoms accom- 
 panying poisoning by silicate cements of the " A " type, in which, as 
 previously stated, the action of poison does not make itself observable 
 until after weeks, months, or, in some cases, more than a year. 
 
 The objection may be raised that, according to the H.P. theory, 
 neutral salts of complex alumino-acids and particularly sodium 
 alumino-lactate, should be wcw-poisonous, as the harmlessness of the 
 zinc aluminophosphates (i.e. of the 2-cements) was thus explained. 
 This objection is not well taken, as it is necessary to remember that 
 some salts, like the sodium compounds of complex acids, readily 
 dissociate and their anions can then enter into reaction. For this reason 
 the feebly dissociable zinc salt possesses advantages over the free 
 acids. Moreover, it is especially important to observe that Siem used 
 extremely dilute solutions, whilst the fluid portion of the 2-cements is 
 highly viscous and is thus different from the ^4-cements. The prob- 
 
THE ACID REACTION OF Z-CEMENTS 227 
 
 ability of extensive dissociation or decomposition of the fluid portion 
 of the 2-cements in hollow teeth is very remote. 
 
 It should also be noted that, apart from any particular theory, there 
 can be no doubt that free acids can combine with nerve-substance far 
 more readily than can salts, and from this point of view the Z-cements 
 must be more advantageous than the A -cements for physiologico- 
 chemical purposes. 
 
 The objection may be raised that the fluid portion of the 2-por- 
 celain cements is very concentrated, and that the acid reaction is 
 due to a hydrolysis of the salt, i.e. that these salts must contain free 
 aluminophosphoric acid, even if only in small quantity. This objection 
 is quite erroneous, as the acid reaction of metallic salts is not neces- 
 sarily a sign of hydrolysis, because many metallic salts (including 
 nickel sulphate, manganese chloride and copper sulphate) which, hi 
 aqueous solution, react strongly acid may be shown, on physio- 
 chemical grounds, to be quite free from hydrolysis. 
 
 As the question whether the acid reaction of an aqueous solution 
 is a definite sign of the presence of free acid has not been clearly 
 answered, an attempt is made, in the folio whig lines, to deal with it in 
 accordance with the experimental material available. 
 
 Does the Acid Reaction of an Aqueous Solution of an Acid Salt always 
 indicate Hydrolysis and the Presence of Free Acid ? 
 
 The non-hydrolysis of a number of acid-reacting solutions of 
 metallic salts may be shown : 
 
 (a) By determining their coefficient of conductivity, and 
 
 (b) By spectrum analysis of the solution. 
 
 (a) Conductivity Determinations 
 
 The following simple means of determining whether a salt is hydro- 
 lysed in aqueous solution is due to Ostwald. If the molecular con- 
 ductivity of a solution of one gramme-molecule of a salt in 1024 litres 
 of water at 25 C. is represented by yui 02 4 an d the conductivity of the 
 same weight of the salt in 32 litres of water at the same temperature 
 is represented by ^ 82 , from the difference A between these two numbers 
 it can at once be seen whether the substance is hydrolysed or not. If, 
 for instance, the difference A is approximately 20, no hydrolysis has 
 occurred, but if A is considerably above 20, a hydrolysed salt is 
 present. 402 
 
 A number of salts, such as nickel sulphate, cobalt chloride, man- 
 ganese chloride, copper chloride and copper nitrate, when in aqueous 
 solutions react like acids, yet the value of A shows that according to 
 Ostwald 's rule they are not hydrolysed, as may be seen from the 
 following Table, 403 in which no number is significantly above 20. 
 
228 CONSEQUENCES OF THE H.P. THEORY 
 
 Conductivity Difference 
 
 Salt A 
 
 Nickel sulphate 18.6 
 
 Manganese chloride 18.5 
 
 Cobalt chloride 18.2 
 
 Copper chloride 20.5 
 
 Copper nitrate 18.6 
 
 Copper sulphate also has an acid reaction, yet the determination 
 of the conductivity of a number of aqueous solutions of copper sulphate 
 show, according to Ostwald 404 , that this substance is not hydrolysed. 
 Ostwald has shown that the conductivity increases steadily with the 
 dilution of the solution, and from this and from the conductivity of an 
 infinitely dilute solution he concludes that solutions of copper sulphate 
 contain Cu- and S0 4 - ions, but no H- ions. 
 
 (b) Spectrum Analysis 
 
 According to Knoblauch 405 and Nernst 406 , spectrum analysis affords 
 a very delicate method for showing the constancy, or otherwise, of the 
 constitution of a substance. If the absorption spectrum of a solution 
 of the substance changes with the concentration a change must have 
 occurred in the constitution of the substance. According to Nernst 407 , 
 innumerable tests have shown that a very small change in the consti- 
 tution is readily shown by the difference in the absorption spectrum. 
 
 If acid-reacting solutions of metallic salts, such as copper sulphate, 
 underwent the slightest hydrolysis this could be detected by the change 
 in the absorption spectrum, so that by examining the spectrum of 
 solutions of different strengths it is possible to ascertain whether the 
 slightest hydrolysis has taken place. 
 
 Acid-reacting copper sulphate which, according to its conductivity, 
 is not hydrolysed in aqueous solution, has also been spectroscopically 
 examined by several investigators, including P. Glan 408 , H. W. Vogel 409 , 
 and Knoblauch 410 . Glan and Vogel found that the solid and dissolved 
 substances both have the same absorption spectrum, so that no change 
 in its constitution and therefore no hydrolysis occurs when acid- 
 reacting copper sulphate is dissolved in water. 
 
 Knoblauch dissolved half a gramme-molecule of copper sulphate in 
 0.37 litres of water and an equal quantity in 325 litres of water ; the 
 character of the spectrum of both these solutions was identical and 
 Knoblauch therefore concluded that in neither case did water effect 
 any hydrolysis of the salt. 
 
 In these ways, the best methods of physical chemistry have shown 
 that a number of acid-reacting metallic salts are not hydrolysed when 
 in aqueous solution, i.e. they do not contain any free acid. 
 
 The objection may be raised that (a) Carrara and Vespignani in 
 measuring the rate of saponification of methyl acetate at 25 C. by 
 
THE ACID REACTION OF Z-CEMENTS 229 
 
 means of copper sulphate, and (b) Davis and Fowler by inverting sugar 
 with copper sulphate solution, 411 have shown quantitatively that the 
 hydrolysis of the copper sulphate does occur and that the investiga- 
 tions of these scientists, at first sight, appear to show a slight though 
 definite hydrolysis. These experiments must, nevertheless, be re- 
 garded as useless, as Donnan 412 , who first introduced them, found that 
 they were by no means free from objection inasmuch as they contradict 
 the results of conductivity determinations. They are specially 
 erroneous as their authors worked on the false assumption that the 
 saponification or inversion was effected exclusively by hydrogen-ions. 
 If this assumption were correct it must follow that : 
 
 1. The inversion of the sugar must increase with the dilution of 
 the acid, as the number of the H-ions increases as the solution becomes 
 more dilute. Precisely the opposite is the case : the inversion pro- 
 ceeding more rapidly with the stronger acid. 413 
 
 2. The rate of inversion must be reduced by adding neutral salts 
 of the acid used, as this would reduce the number of H-ions. Yet 
 according to Nernst the opposite is the case : the presence of an 
 equivalent amount of potassium salt of the given acid increasing 
 the rate of inversion by about 10 per cent. 
 
 3. Salts which react acid to indicators must also invert sugar, as 
 they should (on the assumption named) contain H-ions. Yet H. Ley 414 
 has observed that many salts which react acid to indicators behave 
 like neutral salts as regards sugar. 
 
 4. Salts which contain no H-ions should never invert sugar, yet 
 H. Ley and others 415 have found that many so-called neutral salts, 
 e.g. chlorides of strong bases, invert sugar to a small yet measurable 
 extent . The contradiction between practice and the theory that H-ions 
 are necessary for the inversion of sugar was explained long ago, 
 Arrhenius 416 having shown that other ions greatly increase the action 
 of the H-ions. If, however, the inversion of sugar may be effected or 
 increased by other ions it is clearly useless to employ this method to 
 ascertain what hydrolysis (if any) has taken place in a given solution. 
 The above-mentioned facts are also opposed to the assumption that 
 sugar inversion can only occur in the presence of H-ions, as Ley and 
 others have effected it in complete absence of these ions. If, on the 
 other hand, it is agreed that anions may influence the inversion, it is 
 impossible to understand why the inversion cannot be due to the S0' 4 - 
 ion in the copper sulphate, as two absolutely unexceptionable methods 
 electrical conductivity and spectrum analysis have shown the non- 
 hydrolysis of the solution. 
 
 There can be no doubt that there are some metallic salts which 
 react like acids and yet do not contain a trace of free acid. Hence 
 the acid reaction of the Z-cement fluids cannot be used as an argument 
 for the presence in them of free acid ; in other words, the acid reaction 
 of the Z-cement fluids does not in any way imply the possibility of a 
 chemical combination of the cement fluid and the nerve-fibres. 
 
230 CONSEQUENCES OF THE H.P. THEORY 
 
 The physiologico-chemical properties of the A- and 2-cements 
 fully agree with the properties which have been observed in practice. 
 
 Practical Experiences with A- and --cements in regard to their 
 Physiologico-chemical Behaviour 
 
 The numerous experiments already referred to leave but little 
 doubt that the -4-cements are nerve-poisons and that the Z-cements 
 are harmless. 
 
 In the year 1904 or 1905, shortly after the silicate cements had 
 been placed on the market, several attempts were made to prevent the 
 poisonous action of the A -cements. For this purpose Selowsky 417 , 
 Hentze 418 , Sachs 419 , Bruck 420 , Detzner 421 , Scheuer 422 , Escher 423 and 
 others recommended that : 
 
 1. A very thick cement mixture should be used so that any excess 
 of poisonous acid in the fluid would eventually combine with the 
 excess of powder. 
 
 2. Before inserting the cement, a neutral material should be 
 introduced into the dental cavity, so as to prevent the acid from 
 reaching the pulpa. 
 
 In spite of the most careful use of these protective materials, 
 dental literature contains many reports of destroyed pulpse and of 
 some deaths due to the acid. Thus, in 1906 the following (German) 
 dentists reported cases of poisoning and the uselessness of a stiff paste 
 and of protecting pieces : Heinsheimer 424 , Silbermann 425 , Reissner 426 , 
 and in 1908, Schreiber 427 . In 1909 Baldus 428 confirmed this view. Of 
 the many (German) dentists who in 1909 reported deaths due to 
 pulpa poisoning caused by A -cements, only the following need be 
 mentioned : C. Wolff, Aachen 429 , Marx 430 , Horstmann 431 , Schulte 432 , 
 Gerhardt, Leipzig 433 , Wild 434 , Albrecht 435 , Peckert 436 , Stein-Mann- 
 heim 437 , Gunzert 438 and Port 439 . 
 
 Of these, Wild alone found 30 deaths due to ^4-cements. Still more 
 recently, Feiler 440 has reported that in spite of the greatest care, 11 
 cases of poisoning occurred, and enquired whether it was right to use 
 silicate cements of so dangerous a nature to patients. " I must say 
 that to me each case is a peculiarly unpleasant memory, so that I am 
 constantly asking myself whether we are justified in using a material 
 which, in spite of the greatest care and skill, places the patient in so 
 much danger." 
 
 Feiler has also reported a fatal case following the use of an A- 
 cement as follows : " The following incident, told to me by Privy 
 Councillor Partsch, is worth careful consideration. I take the following 
 from the official medical report : ' On the 16th December, 1906, a year 
 after the stopping of a superficial cavity in the right upper incisor with 
 original Ascher's silicate cement, R. G. (22 years of age) began to suffer 
 indefinable pains in the right side of his face, and several days later a 
 pronounced swelling of the right cheek and of the upper and lower 
 
PHYSIOLOGICAL BEHAVIOUR OF PORCELAIN CEMENTS 231 
 
 eyelids was observed ; fever also commenced. On the 20th December 
 an elastic swelling, very sensitive to the touch, was easily observable ; 
 the teeth were very painful when pressed, and a similar swelling near the 
 fossa cannia was seen. The temperature rose to 40 C. with the pulse 
 at 120. General condition much disturbed ; no mental symptoms. 
 The dentist trepanned two, whereupon pus discharged from the pulum 
 cavum, the swelling increased around the roots of the teeth and con- 
 tained an evil-smelling pus. In the evening the temperature was still 
 38.5C.; the pain somewhat reduced. Next day, a general improvement. 
 On the 23rd and 24th no pain experienced ; patient taken in closed 
 carriage to the dentist for further treatment. On the 25th he made 
 a long journey unknown to the doctor. On the 26th headache re- 
 commenced and on the 27th the doctor was sent for and found con- 
 siderable feverishness and headache, but no trouble with the mouth, 
 apart from three vomitings. The doctor diagnosed influenza, but the 
 symptoms increased daily, the lid of the right eye swelled, the eye- 
 ball was protruded ; general mental symptoms observable ; the pulse 
 sank to 56 and became irregular, the knee reflexion was unsatisfactory, 
 and considerable deep hyperaesthesia of the legs was found. 
 
 " On the 4th of January an operation showed that the processes had 
 extended through the fissura orbitalis inferior to the eye-socket, and 
 notwithstanding a wider opening it was impossible to prevent the 
 spread of the processes. The temperature fell for a short time, but on 
 the 7th of January it rose to 40.4 C., with feverish shivering, and 
 remained fairly constant with increasing brain disturbance until the 
 exitus letalis on the 18th of January." 
 
 Schreiber 441 in 1910, after reporting a whole series of fresh deaths 
 from diseased pulpse due to the use of A -cements, wrote in strong terms 
 condemning the impracticability of the preventive methods recom- 
 mended. 
 
 Freund 442 , of Breslau, encouraged the use of ^4-cements, and 
 attributed the toxic action of some specimens to the presence of 
 arsenic and not to the free acid. A year later (in 1909), 443 after some 
 unfortunate experiences with -4-cements, he openly joined those who 
 accept the acid theory and discussed the question as to who were 
 responsible for these {C accidents " the manufacturers who guaranteed 
 their products to be harmless, or the dentist. 
 
 Lartschneider 444 distinguishes between an irritation of the pulpa 
 and destroying it. Under the term " pulpa irritation " he groups all 
 the cases in which pain is felt soon after the insertion of the cement. 
 In most cases the pain soon ceased, but in some instances it continued 
 for several hours. He has observed these symptoms in 6 to 8 per cent. 
 of his patients. They were often quite independent of the depth of the 
 cavity, and many of the worst cases were those where no trouble was 
 anticipated. He noticed that young, delicate, anaemic patients 
 suffered most, and considered that the fatal cases might be due to 
 anaemia. 
 
232 CONSEQUENCES OF THE H.P. THEORY 
 
 Robert Richter 445 also attributes the harm done by these cements 
 to the presence of arsenic, and points out the seriously poisonous 
 nature of this material. He goes so far as to suggest that the A- 
 cements should always be labelled as " poison." 
 
 Schreiber 446 also regarded the A -cements as poisonous, and urged 
 that they should be scheduled accordingly. He also suggested that in 
 the case of an " accident " the dentist should be held to be legally 
 responsible. 
 
 It is interesting to observe that most investigators consider that the 
 poisonous action is due to the free acid. 
 
 A. Masur 447 reports observations made by the Breslau dentists on 
 the destruction of the pulpa a short time after the use of A -cements, 
 the patients suffering from acute periodontitis. Masur also considers 
 that the cause of the symptoms observed is to be found in the cement 
 acid. Reissner 448 also attributes the periostitis observed by him to 
 the action of free acid. 
 
 Silbermann 449 definitely assumes that the detrimental action of the 
 ^4-cements on the pulpa is due to the acid they contain, and has 
 endeavoured to prove this assumption experimentally. Later, he 
 considered that the arsenic in the cements was the cause of their toxic 
 action, but " the difference observed in the pulpa after the application 
 of arsenic and of an Ascher's stopping, which had resulted in peri- 
 odontitis," led him to conclude that the damage was done by the acid 
 in the cement and not by the arsenic. Moreover, arsenic-free A- 
 cements have the same toxic action as others ; hence it is not generally 
 agreed that the acid is the poisonous ingredient. 
 
 Kulka 450 has pointed out that, according to Miller 451 , the destruc- 
 tion of the pulpa (p. 221) is by no means unusual with zinc phosphate 
 cements, and is apparently due to the phosphoric acid in the cement 
 fluid. Kulka accepts this suggestion and also the similar one made by 
 Ottolenguis 453 ; he also considers it possible that the free acid removes 
 lime from the tooth-ivory and affects the pulpa by partial destruction of 
 the dentine. 
 
 Feiler 454 does not accept this view, as he found that on drilling 
 through the stopping the dentine above the pulpa was unaffected, and 
 that no lime had been removed from it ; he does, however, agree that 
 the detrimental action of the A -cements is due to the free acid present, 
 and refers to Pawel's 455 work in support of this. Pawel found, by 
 actual experiments on animals, that the acid in these cements can 
 penetrate thick layers of dentine and can then damage the pulpa. 
 According to Feiler, the chemical irritation of the excess of acid 
 affects the vitality of the pulpa through pores or channels in the dentine 
 and destroys its power of resistance to bacteria. The latter are thus 
 able to pass through the channels in the dentine and to enter the blood- 
 stream, thus bringing about violent processes, the intensity of which 
 depends on the virulence or pathogenity of the germs present. 
 
 The destruction of the pulpa which results from the use of porcelain 
 
PHYSIOLOGICAL BEHAVIOUR OF PORCELAIN CEMENTS 
 
 cements containing free acids is attributed to the strong acids in the 
 cement fluid by the following (additional) authorities : Biel 456 , 
 Hentze 457 , Sachs 458 , Bruck 459 , Apfelstadt 460 , Schreiber 461 , Wege 462 , 
 Schachtel 463 , etc. 
 
 Lartschneider 464 has expressed a doubt as to the action of free 
 acid in A -cements on the pulpa. He placed small pellets of cotton- 
 wool saturated with the fluid portion of these cements (i.e. with 
 cement-acid) in the cavities in infected teeth and closed the cavity 
 with a Fletcher's cap. In some instances temporary pain was ex- 
 perienced by the patient, but it ceased after a few hours. In no case 
 did he find any appreciable destruction of the pulpa or any periostitic 
 symptoms, even though some of these " acid fillings " were retained 
 in the teeth for nine weeks. 
 
 This investigation is of value, but it does not invalidate the " acid 
 theory " for the following reasons : 
 
 1. Symptoms are, in many cases, only observed after a very long 
 time, sometimes as much as a year or more after the introduction of 
 the stopping, and the observations made by Lartschneider were made 
 in too short a time for the action of the acid to become noticeable. In 
 this connection the experience of another dentist Albrecht 465 is 
 interesting. Albrecht was one of the first to use A -cements extensively, 
 and he could not understand why so many of his colleagues complained 
 of their deleterious action. More recently, however, he has realised 
 that several " accidents " are due to old cases, the damage to the 
 pulpa taking some months before it became noticeable. Two cases in 
 particular, in which he filled quite shallow cavities with A -cements, 
 resulted in the destruction of the pulpa and in periodontitis after more 
 than a year, have made him pessimistic with regard to these cements. 
 
 The eventual destruction of the pulpa in the cases quoted by 
 Lartschneider is, therefore, by no means excluded. 
 
 2. The plastic silicate mass is pressed into the dental cavity under 
 considerable pressure, whereby the free acid may the more readily 
 penetrate the pores or channels in the dentine and so reach the pulpa. 
 If a pellet of cotton- wool saturated with acid is used, there is little 
 or no pressure exerted, and the acid cannot so readily reach the pulpa : 
 it may, in fact, combine with the Fletcher cement. 
 
 3. It is not impossible that only certain people are sensitive to 
 the action of the aluminophosphoric acids, and that in his experi- 
 ments Lartschneider had patients who were not likely to develop 
 pulpitis. 
 
 If the harmlessness of the aluminophosphoric acids is assumed, 
 to what is the destruction of the pulpa due ? Moreover, Pawel has 
 shown the harmful action of strong acids on the pulpa by direct 
 experiments on animals as previously noted (p. 232). 
 
 The most direct proof that the toxic action of the A -cements is 
 solely due to the free acid they contain is found in the 2 -cements, 
 which only differ from the former in the substitution of a salt for the 
 
234 CONSEQUENCES OF THE H.P. THEORY 
 
 free acid, yet are found in practice as well as in theory to be perfectly 
 harmless. 
 
 No sooner had the poisonous nature of the A -cements been realised 
 than an urgent demand was made for their improvement in such a 
 manner that they should lose their toxic action completely. Thus 
 Heinsheimer 466 has stated that " Beautiful and valuable though the 
 Ascher cements are, they have one property which is absolutely neces- 
 sary to remove, viz. the toxic action on the pulpa. Otherwise, these 
 almost ideal materials must be discarded. These views are held by a 
 number of my colleagues, and I may frankly say that this serious dis- 
 advantage is not due to the use of too soft a mixture or to badly 
 prepared material." 
 
 Greve expresses himself to the same effect : " Some of the new 
 silicate cements produce excellent results under suitable conditions, 
 but an improvement is essential. If this cannot be effected they will 
 never attain the popularity which has been prophesied." 
 
 The warnings of Heinsheimer, Greve and others are all the more 
 significant when it is remembered that, according to Pfaff 467 , diseases 
 of the pulpa are the cause of other diseases of important organs 
 particularly of the eyes and ears. Thus, deposits of decomposed matter 
 on the pulpa, diseases of the pulpa itself and of the membranes sur- 
 rounding the fangs, frequently cause neuralgia of the trigeminus, or 
 neuritis ascending to the ganglion gasseri (Karewski). The clinical 
 observation that the eyes are affected in many diseases of the teeth 
 has been made by numerous ophthalmologists. Acute pulpit is, peri- 
 ostitis and empyemia of the antrum highmori are stated to be the causes 
 of many eye complaints by Alexander, Keyser, Wacher, Lardin, 
 Birch-Hirschfeld and others. Pagenstecher and Vossius have also 
 reported numerous cases. Amongst other diseases of the eyes which 
 have their origin in defective teeth are changes in the optic nerves and 
 in the retina ; inflammation of the cornea and of the conjunctiva, or 
 of the whole eye-ball ; diminished sensitiveness in the apparatus for 
 accommodation and in the iris, affections of the muscles which move 
 the eye-ball and eyelids, diseases of the tear-glands and ducts. These 
 have been observed by Decaisne, Blank, Schmidt, Schulek, Wedl and 
 others. The manner in which these diseases are brought about must 
 be sought in the nerves and in the mucous lining of the mouth ; the 
 latter extends to the jaw from the ostium pharyngeum tubce. to the drum 
 of the ear, so that inflammatory processes in the mouth may also 
 extend their action for a considerable distance. Otitis media and the 
 related ascending neuralgia may also be due to diseases of the teeth, 
 according to Boke, Ziem and Winkler. 
 
 Greve 468 , in 1906, attributed the poisonous nature of the A -cements 
 to their irrational composition. He considered that the composition of 
 the silicate powder does not permit it to neutralise the cement acid, 
 and he attributed the dangerous irritation of the pulpa to an excess of 
 free acid. It has been shown that in the highly basic zinc phosphate 
 
RELATIVE DIFFUSIBILITY OF A- AND 2-CEMENTS 235 
 
 cements (p. 221) the use of less acid will not avoid the danger, because 
 no separation of the base has occurred by the time the plastic mass is 
 placed in the cavity. Nevertheless, Greve's work is important because 
 he showed the value of bases for reducing the poisonous nature of A- 
 cements. The right way to destroy the poisonous nature of the silicate 
 cements is shown, both by theory and practical experience, to consist 
 in saturating the cement acid with a strong basis before the fluid 
 portion of the cement is mixed with the powder ; in other words, by the 
 conversion of -4-cements into 2-cements. 
 
 W. and D. Asch 469 , in 1908, published the results of some experi- 
 ments with a transparent 2-cement, i.e. with a silicate cement in which 
 the fluid portion consists of an acid-reacting salt solution. Use of this 
 cement in practical dentistry appears to be highly satisfactory : the 
 mass proved, in accordance with theory, to be perfectly harmless to 
 the pulpa. The practical experiences of Oppler 470 , Wege 471 , Schach- 
 tel 472 , Schreiber 473 , Baldus 474 , etc., with this cement have further 
 confirmed its absolute harmlessness. 
 
 Baldus has used this cement for more than a year, Wege and 
 Schreiber for several years. Schachtel has laid this cement on almost 
 translucent pulpae, which were very painful at the time of the opera- 
 tion, but after a long time no harmful symptoms could be observed. 
 Oppler has brought this cement into direct contact with the free pulpa, 
 yet though the patients were under observation for a long time, he 
 observed no irritating symptoms, a result which, according to Schreiber, 
 is incredible if A -cements are used. 
 
 Hence, practical experience is in full accord with theory in regard 
 to the absolute harmlessness of the 2-cements, just as both are agreed 
 as to the essential poisonous nature of the A -cements. 
 
 The 2-cements have, in their physiologico-chemical relations, other 
 advantages over the ^4-cements. It is open to argument whether an 
 excess of cement fluid diffuses more rapidly through the dental capil- 
 laries and into the pulpa more rapidly when it is in the form of a 
 solution of a salt or an acid. The facts established by Graham 740 
 afford valuable evidence in this connection. According to Graham, the 
 acids and acid salts diffuse more rapidly from a mixture of basic, 
 neutral and acid fluids than do the basic and neutral ones. The fluid 
 portions of the A -cements which are usually free, or practically free 
 aluminophosphoricjacids diffuse, cceteris paribus, more rapidly than the 
 2-cements, as the latter are usually saturated with bases. Should an 
 excess of the fluid portion of the S-cements eventually diffuse towards 
 the pulpa, it is by no means improbable that during this time it would 
 come into contact with cement powder and so would become fully 
 neutralised. In this way the slow diffusibility of fluid portions of the 
 2-cements is a great advantage, for physiologico-chemical purposes, 
 over the more readily diffusible portion of the A -cements. 
 
 When it is remembered that in the commercial 2-cements the fluid 
 is highly viscous, whilst in the ^4-cements the fluid is very mobile, it is 
 
236 CONSEQUENCES OF THE H.P. THEORY 
 
 clear that, cceteris paribus, the Z-cement fluid must diffuse more slowly 
 than that of the A -cements, and therefore the former cements are 
 preferable to the latter. 
 
 XV 
 A New Theory of Glasses, Glazes,* and Porcelains 
 
 A definite part of the silicates known as glasses, glazes and porce- 
 lains are, without doubt, definite chemical compounds in the structure 
 of which hexites and pentites play an important part. 
 
 Some of the " glasses " are compounds of simple acids, others, 
 like most glazes and the porcelains, are, in so far as they are single 
 chemical compounds, complex acids or the corresponding salts. 
 Dumas 475 considered that glass has as definite a composition as 
 certain minerals or that it is a mixture of certain silicates ; the glasses 
 he examined corresponded to the formula Na 2 CaO 4SiO 2 , but, 
 as Berthier 476 has shown, a higher silica content in the glass makes it 
 harder and less fusible, whilst lime increases its resistance to chemical 
 influences ; Benrath 477 regards as " glasses " those silicates which 
 correspond to the general formula RO 2 Si0 2 . It is important to 
 observe that it was Benrath who showed that the most suitable 
 composition for all useful glasses (excluding optical ones) lies within 
 the limits of Na 2 CaO 6 Si0 2 and 5 Na 2 7 CaO 36 Si0 2 , in 
 which Na may be replaced by K and Ca by Pb. The occurrence of the 
 figure 6 and its multiples is highly significant. 
 
 Zulkowski 741 has studied the relationship between the chemical 
 composition and the physical properties of glass, and, for certain 
 specimens prepared by him, he suggests the following empirical 
 formula : 
 
 M' 2 M"0 6 Si0 2 , 
 
 and the following structural formula : 
 
 /0-SiO-SiO-O-SiO-OM' 
 
 MX 
 
 X SiO SiO O SiO OM' 
 
 In this manner Zulkowski regards glasses as definite chemical 
 compounds. At the same time, he regards the refining stage in the 
 manufacture of glass as a chemical process and not, as is customary, 
 as a purely physical one in which the dross particles are separated on 
 account of their higher specific gravity. 
 
 That the 6 SiO 2 in the above formula plays an important part in 
 glasses is recognised by Zulkowski, and based on the investigations 
 of Schwarz, which showed that the resistance of glasses to the action 
 
 * Glazes are carefully prepared mixtures of minerals which are applied to articles 
 in order to impart a glossy surface or glaze, the covering material being melted into a 
 kind of glass by heating the article in a kiln or suitable oven. Opaque glazes are termed 
 enamels, but both words are used somewhat loosely. 
 
THE CONSTITUTION OF GLASSES, ETC. 237 
 
 of 10 per cent, hydrochloric acid reaches a satisfactory value with 
 glasses of the character examined by Zulkowski. The investigations of 
 Stas and others have also shown that glasses only become resistant to 
 the action of water when their composition is in accordance with the 
 above formula. 
 
 It is also of interest to observe that Zulkowski has studied glasses 
 with 5 Si0 2 in the molecule to which he attributes an analogous 
 formula. 
 
 In reality, it is not the number 6, but a multiple of this number 
 which is essential, and glasses containing 36SiO 2 are particularly 
 important. Thus, the normal composition of glass is stated by 
 Fischer 742 to be : 
 
 5 Na 2 7 CaO 36 Si0 2 , 
 
 5 K 2 7 CaO 36 SiO,, 
 
 5 K 2 7 PbO 36 Si0 2 . 
 
 Normal glasses of the following formulae have also been reported : 743 
 
 6 K 2 2 PbO 2 ZnO 2 BaO 36 Si0 2 , 
 3 Na 2 3 K 2 3 PbO 3 CaO 36 Si0 2 , 
 3 Na 2 3 K 2 6 PbO 36 Si0 2 . 
 
 It cannot be said that the three latter formulae represent the mini- 
 mum molecular weights, as formulae can be constructed from the same 
 data with less than 36 Si0 2 . Yet if the above formulae are regarded 
 as representing the minimum molecular weights, then glasses must 
 clearly have at least 36 molecules of Si0 2 in each glass molecule. 
 
 There are many people who believe that glasses are not single 
 chemical compounds, but mixtures or solid solutions. Zulkowski holds 
 the opposite view, and has drawn attention to the experiments of 
 Mylius and Foerster 744 , which show that glasses are not mixtures, but 
 true chemical compounds. Zulkowski regards glasses as acid di- 
 silicates, because he is not in a position to give a formula similar to 
 those suggested by the H.P. theory. 
 
 Of special interest is the composition of alabaster-glass, which, 
 according to Zulkowski, is not a double silicate, but a pure potassium 
 meta-silicate which belongs to the siliceous glasses. The composition 
 of this glass he represents by K 2 0, 8 Si0 2 . It is highly probable that 
 this glass has a molecular weight at least four times as large as corre- 
 sponds to the above, i.e. that the true formula contains 32 SiO 2 . 
 
 In addition to those glasses which may, possibly, be regarded 
 as simple silicates, there are the glazes and porcelains which may be 
 regarded as fused aluminosilicates or salts of other complex silicates, 
 such as salts of borosilicic acid. Zulkowski also considers that " on 
 fusing 4 SiO 2 , 2 B 2 O 3 with one molecule of CaC0 3 and one molecule 
 of soda, the product is not a glassy mixture, but a homogeneous 
 glass." He attributes to the material obtained in this manner a 
 structural formula analogous to that which he assigns to normal glass. 
 
 Assuming that the minimum weight of the chemical compounds 
 
238 CONSEQUENCES OF THE H.P. THEORY 
 
 known as " glass " corresponds to a formula with 36 Si0 2 and that this 
 substance is an acid with the constitution 
 
 11 
 14 H a O 36 Si0 2 , 
 
 in which the positions marked with a -f are either direct bonds between 
 the Si-hexites or are those to which dibasic or sesquioxide-forming 
 elements may be attached, by means of this constitutional formula 
 many hitherto puzzling properties of the " glasses " may be explained. 
 
 It should be observed that in this formula the maximum of 
 OH-groups is shown. A series of acids with fewer OH-groups is 
 theoretically possible ; from these a series of salts can be produced 
 as in the case of the complex acids. 
 
 The following lines deal with some properties of " glasses " which 
 are explicable by means of this theory : 
 
 1. Schott 478 has examined " best Thuringian glass " with a com- 
 position corresponding to 
 
 8 Na 2 K a O 4 CaO A1 2 O, 36 Si0 2 
 Calcd. 16.05 3.04 7.25 3.30 70.36 
 Found 16.01 3.38 7.24 3.00 69.02 (0.42 Fe 2 3 and 0.26 MgO) 
 
 in a threefold manner, viz : 
 
 (a) After two years' exposure to air, 
 
 (b) After heating to 100 C., and 
 
 (c) After heating to the softening point. 
 
 The glasses were carefully cleaned with water, alcohol and ether, 
 dried by prolonged standing over sulphuric acid, weighed before and 
 after treatment with water and finally after heating in an air bath at 
 150 C. The loss of weight was calculated to milligrammes per sq. cm. 
 
 Experiment I : Loss of weight in water 3-5 mg. 
 
 at 150 C. 0-8 mg. 
 
 After heating in water the glass appeared to be unchanged, but after 
 heating in an air bath the whole surface became covered with very fine 
 cracks, but no flakes were split off. 
 
 Experiment II : Loss of weight in water 2-5 mg. 
 
 at 150 C. 0-8 mg. 
 
 The cracks produced in the air bath were very fine and could scarcely 
 be seen with the naked eye. 
 
 Experiment III : Loss of weight in water 1-8 mg. 
 
 at 150 C. 0-6 mg. 
 In this case no cracks could be observed even with a lens. 
 
THE CONSTITUTION OF GLASSES, ETC. 
 
 239 
 
 From the results of these experiments it follows that the constitu- 
 tion of the glasses tested must differ, and it should be specially noted 
 that heating this glass to its softening point had notably improved its 
 quality, as is shown by Experiment III. If it is assumed that the 
 dibasic elements and the sesquioxide are strongly bound, but that the 
 alkali-atoms are labile, the following isomers of the original formula 
 may be conceived ; these appear to confirm the three foregoing 
 experiments : 
 
 =Na, 
 
 =Na 2 
 =Ca 
 
 =Ca 
 
 =Na, 
 
 Na a Na a Na a 
 B. 
 
 Na a Na 3 Na a 
 II II II 
 
 K- X V S 
 
 Si I Si I Si 
 Ca= 
 
 Na a = 
 
 fa a Na a Na a 
 C. 
 
 It is very probable that, in Experiment III, the compound A is 
 formed, as this has a symmetrical distribution of the atoms in the 
 molecule which would account for its greater stability than the 
 compounds B and C. 
 
 It is here assumed that on storing or heating the glasses examined, 
 only the alkali-atoms change places, the dibasic and Al-atoms not 
 being affected. This assumption is justified by the fact, proved by 
 Weber, that very little depression* is shown by thermometer glasses 
 which contain potassium, but no sodium. If this depression is due to a 
 
 * When some kinds of glass are used in the manufacture of thermometers, these 
 instruments are found, in course of time, to indicate lower temperatures than they 
 should do. This is referred to as the "depression" of the thermometer; it is com- 
 monly understood to be due, in some way, to the chemical composition of the glass 
 employed. 
 
240 CONSEQUENCES OF THE H.P. THEORY 
 
 rearrangement of the alkali-atoms within the molecule, those glasses 
 which contain sodium, but no potassium, should show no depression at 
 all. Experiments made by Schott 480 show that this is actually the 
 case. 
 
 Thus, glass w r hich contains unmixed alkali (i.e. a pure potash-lime 
 glass) when used for thermometers shows a much smaller error owing 
 to changes in volume than a glass containing mixed alkalies (i.e. con- 
 taining both potash and soda). Thus, a glass which contains unmixed 
 alkali 745 showed, after a given time, a depression of only 0-04, whilst 
 a glass containing mixed alkali had a tenfold depression, viz. 0.40. 
 
 It is a well-known fact that thermometers made of glass containing 
 both potash and soda are erroneous on account of this depression, 
 whilst those made of potash alone are quite satisfactory ; this was first 
 pointed out by Weber in a lecture before the Prussian Academy of 
 Science, in December, 1883. 
 
 2. It is a well-known fact that the behaviour of various kinds of 
 glass under the heat of a glass-blower's lamp varies greatly : one 
 kind of glass (window glass) turns matt and rough shortly after it has 
 become hot, whilst the glass made in the Thuringian Forest can with- 
 stand repeated heating and cooling, and may be blown into various 
 shapes and re-melted without showing any signs of physical change. 
 
 Schott's 481 experiments on Thuringian glass have shown that it has 
 the following composition : 
 
 8.25 Na 2 1.25 K 2 0.25 MgO 4.25 CaO A1 2 3 36 SiO, 
 Calcd. 16.21 3.72 0.37 7.54 3.23 68.93 
 
 Found 16.01 3.38 0.27 7.38 3.38 67.74 
 
 An analysis of the sand used in its manufacture showed : 
 
 SiO a A1 2 3 Fe 2 3 CaO MgO K 2 Na 2 
 91.38 3.66 0.47 0.31 Trace 2.99 0.50 
 
 Schott therefore assumed that this glass owes its valuable 
 properties to the alumina it contains, this being derived from the sand. 
 He has confirmed this by preparing various glasses synthetically from 
 pure quartz to which various quantities of alumina were added, and 
 found that the latter enabled the glass to be worked satisfactorily 
 in the blower's lamp whilst the former left much to be desired. The 
 value of alumina has also been confirmed on the large scale ; the 
 addition of felspar or alumina to a glass mixture invariably improved 
 the working qualities of the glass. 
 
 Seger 746 , also, made exact experiments on the action of alumina in 
 glass mixtures, and has shown that it increases the fusibility of the 
 mixture and that the tendency to de vitrify is reduced. Weber, in an 
 exhaustive treatise on " Depression Phenomena in Thermometers," 
 has stated that alumina is highly important in the manufacture of 
 glass : it increases the fusibility and makes it easier to work. 
 
 Schott has also repeatedly observed that the tendency to crystallise 
 or devitrify, shown by many glasses with a high percentage of alkaline 
 
THE CONSTITUTION OF GLASSES, ETC. 241 
 
 earths, may be diminished by the addition of alumina. This peculiar 
 property of small amounts of alumina (2% to 3%) is readily understood 
 in the light of the H.P. theory of the constitution of glasses ; it is due 
 to the bonding of the silicon hexites by the Al-atoms. Definite com- 
 plexes are formed and may be conveniently termed y-complexes. 
 
 The presence of very small proportions of one substance in another 
 has frequently a very marked effect on the latter. Thus, Marignac 484 
 has shown the enormous influence of 2 per cent, of silica in silico- 
 tungstates ; W. Asche 485 and Parmentier have shown the equal 
 importance of 2 per cent, of silica in the silico-molybdates, and it is 
 very probable that the small amounts of Ce 2 3 in the rare-earths used 
 for gas-mantles, 486 phosphoric acid in the blood, and carbon, tungsten 
 and other " impurities " in steel play a highly important part in the 
 characteristics of these substances. 
 
 3. Forster 482 and Kohlrausch 483 have independently proved 
 experimentally that glass is attacked by pure water more strongly 
 than by acids. Forster has also found that a given glass will lose the 
 same weight when treated with sulphuric, hydrochloric, nitric or acetic 
 acid, of either one-thousandth of the normal,* or ten times the normal 
 strength. With concentrated acids, Forster found the action to be 
 weaker than with more dilute ones. 
 
 This property may be explained in the light of the H.P. theory, as 
 follows : The water causes primary alkali to become separated from the 
 molecule, and this, to some extent, reacts in a secondary manner on the 
 hexite and partially converts it into pentite, as the authors of the 
 present volume have frequently observed in studying the complex 
 salts. With acids, on the contrary, only the acid-water reacts and 
 causes a partial separation of the alkali in the glass. This alkali is at 
 once neutralised by the acid and so is prevented from having any 
 secondary action. In this manner the more powerful action of water, 
 as compared with acids, may be explained. 
 
 4. The cause of the phenomenon known as " devitrification " was, 
 until quite recently, extremely puzzling and has not been ascertained 
 with certainty. For instance, Zulkowski considered that devitrifica- 
 tion is due to the presence of subsidiary silicates. Thus, a glass made 
 from a mixture corresponding to the formula : 
 
 9 Na 2 + 10 CaO + 60 SiO a , 
 is stated by Zulkowski to be : 
 
 8 (CaO Na 2 6 SiO 2 ) + 2 (CaO 4 Si0 2 ) -f Na 2 4 Si0 2 
 True glass. Subsidiary silicates. 
 
 The glass is thus regarded by Zulkowski as composed of 8 molecules 
 of normal glass with 2 molecules of calcium tetra-silicate and 1 mole- 
 
 * "Normal acid " is of such a strength that 1 c.c. of it will exactly neutralise 0-040 
 gramme of NaOH or 0-053 gramme of Na 2 CO 3 , hence 1 c.c. of " one- thousandth normal " 
 or milli-normal acid will exactly neutralise 0-000040 gramme NaOH and 1 c.c. of " ten 
 times normal " acid will neutralise 0-400 gramme NaOH or the equivalent weight of 
 any other alkali. 
 
242 CONSEQUENCES OF THE H.P. THEORY 
 
 cule of sodium tetra-silicate. These subsidiary silicates are, according 
 to Zulkowski, the cause of devitrification. 
 
 In the opinion of the authors of the H.P. theory, the experiments 
 of M. Groger 748 throw a special light on the subject of devitrification 
 and lead to the true causes of this phenomenon. Groger examined a 
 devitrified bottle glass made in the works of the Austrian Glasshiitten- 
 gesellschaft at Aiissig. It consisted of crystalline nodules which, on 
 fracture, were composed of radial fibres of a matt greenish-white tint. 
 In these nodules completely transparent, dark green masses are 
 embedded. Groger analysed both the transparent masses and the less 
 transparent devitrified portions and found that their chemical com- 
 position was identical and corresponded to the general formula : 
 
 2.5 R 2 O 4.5 RO A1 2 3 15 Si0 8 , 
 0.25 K S 2.25 Na 2 O 0.25 MgO 3.5 CaO 0.5 MnO 0.25 FeO A1 2 0, 15 SiO, 
 
 Theory : 
 1.64 9.75 0.70 13.70 2.48 1.24 7.13 63.36 
 
 Found in devitrified portion : 
 1.52 9.76 0.61 13.38 2.49 1.39 7.73 63.79 
 
 Found in transparent portion : 
 1.45 9.78 0.73 12.81 2.47 1.39 7.42 64.39 
 
 In this manner Groger confirmed the statement of Pelouze that the 
 devitrified portions are of the same composition as the glass itself, and 
 also that of Benrath in which the errors in the view previously held, that 
 a devitrified glass is more siliceous than a normal glass, were exploded. 
 
 Groger also investigated the physical and chemical properties of 
 both portions in order to ascertain the cause of the devitrification. 
 He showed that the two portions differed considerably in both physical 
 and chemical properties. For instance, the transparent portion is 
 much more fusible than the devitrified portion. 
 
 Again, when treated with concentrated hydrochloric acid the 
 devitrified portion was almost dissolved completely, whilst the 
 transparent portion remained unattacked. From this, Groger con- 
 cluded that the devitrified portion consisted of two different substances 
 and endeavoured to separate them by digesting for twelve hours with 
 concentrated hydrochloric acid. Both portions the soluble and the 
 insoluble were analysed and conformed to the following formulae : 
 For the soluble portion : 
 
 10.25 RO 0.75 R a O 0.12 Si0 2 . 
 For the insoluble portion : 
 
 1.75 RO - 2.25 R,0 A1 2 3 12 Si0 2 . 
 These figures were deduced from the following data : 
 
 0.25 FeO 9.5 CaO 0.5 MgO 0.75 Na 2 12 SiO a 
 Theory 1.35 39.80 1.49 3.48 53.88 
 
 Found 1.16 39.30 1.33 3.57 52.89 0.27 MnO 0.36 K 2 
 
THE CONSTITUTION OF GLASSES, ETC. 
 
 0.25 FeO 0.25 MnO CaO 0.25 MgO 2 Na 8 0.25 K,0 A1 2 0, 12 SiO, 
 Theory 1.67 1.65 5.20 0.92 11.53 2.18 9.48 67.37 
 
 Found 1.88 2.60 5.83 0.73 11.27 1.28 9.44 66.97 
 
 In the light of the H.P. theory, the devitrification of this mass is 
 readily explained. The clear portion consists of a perfectly stable 
 penta-compound which, in time, parts with a simple silicate and is 
 converted into a hexa-compound. Groger interpreted his results in a 
 similar manner and considers that the devitrification is due to an 
 unmixing of the glassy mass. In other words, devitrification is not a 
 molecular change, such as occurs when amorphous arsenic acid is 
 converted into the crystalline modification (Pelouze), but the con- 
 version of an unstable compound into a stable one by the separation of 
 a definite constituent. This conclusion agrees completely with the 
 interesting results obtained by O. Schott 749 in the microscopical 
 examination of numerous de vitrified products. Schott found that 
 de vitrified glasses contain crystals of wollastonite (calcium silicate), 
 and the existence of this substance as an integral part of devitrified 
 glass is shown in the above analysis. 
 
 As far back as the year 1900, Zulkowski 741 endeavoured to refer 
 the properties of glass to its chemical constitution and found that, at 
 that time, the only properties to which glass manufacturers and others 
 paid much attention were of an aesthetic nature, such as the shape of 
 the articles made, and the colour, transparency and light refractivity 
 power of the glass. The chemical properties of glass, i.e. its resistance 
 to weather, water and various chemicals, had scarcely been studied at 
 all, and Zulkowski very wisely pointed out that many articles of a 
 domestic or aesthetic nature, to say nothing of the innumerable 
 technical and optical articles made of glass, and those used in the 
 experimental sciences, require that glass should possess not only certain 
 physical properties, but the still more important chemical ones, and 
 yet the study of the latter has been almost entirely neglected. 
 
 Nevertheless, the chemical structure attributed to glass by Zul- 
 kowski does not sufficiently explain the various properties which have 
 been mentioned in the present chapter, whereas the H.P. theory does 
 explain them satisfactorily. 
 
 The Chemical Constitution of Coloured Glasses 
 
 Coloured glasses of the most varied tints may be prepared by 
 means of suitable preparations of copper, silver, gold and kon, and 
 attempts to learn the chemical constitution of these glasses have been 
 made by numerous chemists. Zulkowski, for instance, regards them 
 as mixtures of various silicates, one of which contains the colouring 
 
244 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 oxide. Thus, according to him, the ferrous oxide in a glass is contained 
 in a silicate of the following formula : 
 
 /\ 
 
 Si n O S n_i< /Fe or 
 
 Si n O 
 
 in 1 
 
 -ONaNaO 
 
 S Fe 
 
 >Si n 2n _i 
 
 The constitution of coloured glasses is of extreme importance, both 
 scientifically and artistically. The most widely adopted view is that 
 glasses are colloids and that the colouration is of a colloidal nature. 
 That the source of the colour of glasses is analogous to that of organic 
 compounds does not appear to have been suggested, and it is therefore 
 of great interest to consider it with the assistance of the H.P. theory. 
 When this is done the surprising conclusion is reached that coloured 
 glasses possess a structure analogous to that of the organic dye-stuffs 
 and that the colour of the glass is due to the chromophore groups and 
 salt-forming groups in accordance with the theory which Witt devised 
 for organic dye-stuffs. 
 
 Glasses do not belong to a single class, but, as their analyses 
 indicate, to several classes of compounds, some of which are simple 
 and others highly complex. This may be readily observed in the 
 following types of glasses : 
 
 8 R 2 6 RO 36 SiO, 
 A. 
 
 8 R 2 2 RO A1 2 S 36 SiO, 
 B. 
 
 4 R 2 RO 6 B 2 8 24 SiO, 
 C. 
 
 (3 R 2 7.5 B 2 8 6 SiO,) 2 etc, 
 
 D. 
 
THE CONSTITUTION OF GLASSES, ETC. 245 
 
 In the positions marked -f not only acid groups, but also groups 
 of metallic oxides (in either -ous or -ic form) may enter. The intro- 
 duction of such acid or metallic oxide groups may conveniently be 
 termed central acidising or central metallising and the groups them- 
 selves may be termed centralisers. 
 
 All these centralisers have an important influence on the rings, as 
 will be shown later. At the moment, however, the metallic central- 
 isers are the most interesting, as they give to compounds containing 
 them the property of absorbing certain selected rays of light, i.e. 
 the metallic centralisers are excellent chromophores. 
 
 The structure of these chromophore groups may be explained as 
 follows : The positions marked + in the foregoing structural formulae 
 are supposed, for the moment, to be occupied by CuO. One of these 
 positions may then be represented by : 
 
 Si 
 
 /\ 
 O 
 
 Cu 
 
 /\ 
 
 O 
 
 V 
 
 Si 
 
 This group may lose oxygen and so be converted into the group 
 
 B. 
 
246 CONSEQUENCES OF THE H.P. THEORY 
 
 On further reduction, group B forms the group : 
 
 Si- 
 O 
 
 Cu 
 Cu 
 O 
 
 Si 
 
 c. 
 
 Group C can also part with oxygen or copper. 
 
 Group B is the chromophore group which, on reduction, forms the 
 leuco-group C. The latter, on oxidation, again forms the chromophore 
 group B. If, during this re-oxidation, a little of the separated metal 
 remains unoxidised, a coloured glass will be obtained in which small 
 quantities of free metal occur simultaneously with the chromophore 
 group. 
 
 Decolouration by reduction and re-colouration by oxidation have 
 been repeatedly observed in organic dye-stuffs. It was first pointed 
 out by C. Grabe and C. Liebermann 750 , who found that all the coloured 
 organic compounds which they examined became colourless on 
 reduction. The reduction may cause the direct addition of hydrogen 
 without the loss of any element from the molecule, or it may be effected 
 by the simple removal of oxygen from the compound. 
 
 Besides the chromophore groups, the side-chains have also an 
 important influence on the colour. In coloured glasses these side- 
 chains are of a basic nature, and, in accordance with Witt's theory, 
 these glasses should be classified as " basic colours." 
 
 Witt's Theory. According to 0. N. Witt 751 , the colour of aromatic 
 compounds is due to the simultaneous presence of a colour group or 
 chromophore, and of a salt-forming group. The chromophore is more 
 active, i.e. it produces a stronger colour, when the dye is a salt than 
 when it is in the state of either a free acid or a free base. 
 
 In organic dyes and colours, the colour-substances must contain 
 chromophore centralisers such as are required for coloured silicates by 
 the H.P. theory. Such colour-substances are typified by some dyes 
 containing the so-called triphenylmethane group. The oxidation 
 products of the compounds : 
 
 /C,H 4 NH Z xC 6 H 4 NH 2 
 
 eCH 4 NH 2 C(OH)^C 8 H 4 NH 2 
 
 \C 6 H 4 NH 8 \C,H 3 (CH 8 ) NH, 
 
 Paraleucaniline. Rosaniline. 
 
THE CONSTITUTION OF GLASSES, ETC. 
 
 and the substances 
 
 247 
 
 C 6 H 4 NH t 
 NH 2 
 I \C,H 4 NH HC1 
 
 and 
 
 /C,H 4 - NH, 
 C C,H 4 NH 2 
 \CeH,CH 8 - NH HC1 
 
 are basic dyes on account of the basic groups, though the materials 
 from which they are prepared paraleucaniline and rosaniline are 
 colourless. The structure of these colours may, according to the H.P. 
 theory, be written as follows : 
 
 NH, 
 
 NH, 
 
 These new structural formulae are in as complete agreement with 
 the properties of these substances as the ones generally seen in text- 
 books and have, in addition, the following advantages : 
 
 1. They show a complete analogy with the coloured glasses, 
 inasmuch as both the organic compounds and the glasses are shown to 
 contain chromophore centralisers ; in the former case, carbonic 
 centralisers. 
 
 2. As distinct from the usual structural formulae, the new ones 
 show definite symmetry, which makes the new formulae more probably 
 correct than the older ones. 
 
 3. The difficulties connected with difference in behaviour between 
 the central ring and the two others in the older formulae do not occur 
 in the new formulae, as in the latter the groups are arranged differently. 
 There are many other instances in which this difficulty, encountered 
 when the text-book formulae are used, is avoided by the employment 
 of the new formulae. 
 
 With the assistance of the H.P. theory in combination with that of 
 
248 CONSEQUENCES OF THE H.P. THEORY 
 
 Witt, the possible existence of the following coloured glasses containing 
 copper may be predicted : 
 
 Type 
 
 A. 
 B. 
 C. 
 D. 
 E. 
 F. 
 G. 
 
 I. 
 
 8 
 8 
 8 
 
 8 
 8 
 
 8 
 8 
 
 R 2 0- 
 R 2 0- 
 R 2 O- 
 R 2 0- 
 R 2 0- 
 R 2 0- 
 R 2 0- 
 
 6 R'O 
 10 R'O 
 12 R'O 
 16 R'O 
 17 R'O 
 nR'O 
 nR'O 
 
 3 Cu 2 
 3 Cu 2 
 3 Cu 2 
 3 Cu 2 O 
 3 Cu 2 
 2 Cu 2 
 Cu 2 
 
 36 Si0 2 
 36 Si0 2 
 - 36 Si0 2 
 36 Si0 2 
 36 Si0 2 
 36 Si0 2 
 36 Si0 2 
 
 H. p(8 R 2 nR'O 36 Si0 2 ) + q(8 R 2 nR'O Cu 2 36 Si0 2 ) 
 
 Type II. 
 
 A. 6 R 2 4 R'O Cu 2 B 2 3 36 SiO 
 
 B. p(6 R 2 O 4 R'O Cu 2 B 2 3 36 Si0 2 ) + q(6 R 2 4 R'O B 2 3 
 
 - 36 Si0 2 ) 
 
 Type III. 
 
 A. 7 R 2 7 R'O Cu a O A1,O, 36 Si0 2 + 7 R 2 7 R'O A1 2 3 
 
 - 36 Si0 2 + Cu, 
 
 B. p(7 R 2 7 R'O Cu 2 A1 2 3 36 Si0 2 ) -f q(7 R,0 7 R'O A1 2 3 
 
 - 36 Si0 2 ) -f- rCu a , etc. etc. 
 
 These three types of glass must obviously differ in their properties. 
 The glasses in the first group are simple silicates, those in the second 
 group are the Gamma Complexes, in which the copper is more strongly 
 combined than in group I. In the third group the glasses are also 
 Gamma Complexes, in which free metallic copper occurs in addition to 
 the copper in combination. 
 
 [The existence of coloured glasses containing other metals in place of copper and 
 of a completely analogous constitution is equally possible.] 
 
 The H.F. Theory and the Facts 
 
 Only one glass in the first group mentioned above has yet been 
 prepared, namely Porpora,* which, according to Zulkowski 752 , corre- 
 sponds to the formula : 
 
 8 R 2 17 R'O - 3 Cu 2 36 Si0 2 . 
 
 * Porpora glass is defined as a glass which has a rusty red colour by reflected light 
 and a purple-blue colour by transmitted light, the colour being due to a small proportion 
 of copper added to the batch. 
 
THE CONSTITUTION OF COLOURED GLASSES 249 
 
 The analysis of this glass when re-calculated, in accordance with 
 formulae suggested by the H.P. theory, is as follows : 
 
 6.25 Na,O 1.75 K,O 4.5 CaO 10.5 PbO IFeO 1 MnO 3Cu 2 O 36SiO 2 
 
 Theory 6.57 2.79 4.27 39.74 1.22 1.20 7-28 36.91 
 
 Found 6.31 2.60 4.31 39.06 1.29 1.50 7.89 35.80 
 
 Trace A1 2 3 
 
 Zulkowski has also analysed a glass belonging to the second group 
 and known commercially as Copper Ruby. This analysis corresponds 
 to the formula : 
 
 6 R 2 4 R'O 0.5 Cu 2 B 2 3 36 Si0 2 
 
 3.25 K,O 2.75Na,O O.SSnO 0.75MnO 1.75 PbO ICaO 0.5Cu,0 B,0, 36SiO f 
 
 Theory 9.10 5.07 1.99 1.59 11.62 1.67 2.12 2.08 64.76 
 
 Found 9.11 5.13 2.16 1.91 10.71 1.52 1.63 2.53 64.80 
 
 Traces of FeO A1 2 3 MgO 
 
 Zulkowski has also analysed aventurine, a glass belonging to the 
 third group. Part of the copper in aventurine glass is in the free state, 
 but if all the copper is considered to be in combination the analysis 
 corresponds to the formula : 
 
 7 R,0 7 R'O - Cu,0 Al.O, 36 SiO, 
 
 1.5 K,O 5.5Na,O O.SPbO 0.25 FeO 5CaO 1.25 MgO Cu,0 Al0 36SIO, 
 
 Theory 4.19 10.15 3.22 0.53 8.33 1.49 4.25 3.03 64.71 
 Found 4.46 10.22 3.07 0.68 8.74 1.57 4.90 2.16 64.52 
 
 The structural formulae of these glasses when arranged in accordance 
 with the H.P. theory are as follow : 
 
 Porpora glass 
 323 
 
 11 OL 
 
 Si I Si Si 
 
 Cu 2 Cu 2 Cu 2 
 
 I I 
 
 Si Si 
 
 Si 
 
 "\/\/\/" 
 
 II II II 
 333 
 
250 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 Copper Ruby glass 
 I II I 
 
 Aventurine glass 
 
 Cu 2 
 
 II II 
 
 A large series of facts which have, hitherto, been inexplicable is in 
 complete agreement with these structural formulae. For example : 
 
 (a) On comparing the structure of the ruby glass with that of the 
 porpora, it is clear that the chromophore 
 
 >Si Cu 2 Si<' 
 
 in the ruby glass is in the first y-complex, whilst the corresponding 
 chromophore groups in the porpora glass are combined with a simple 
 polymerised silicate. 
 
 From the H.P. theory, a masking of the Cu 2 in copper ruby glass 
 may be predicted, i.e. this oxide will not be recognised by ordinary 
 tests so readily as it is in the porpora glass. This interesting conse- 
 quence of the theory is found to be in complete agreement with the 
 experimental evidence. 
 
 According to Rose and Hampe 753 , cuprous oxide and silver nitrate 
 react as follows : 
 
 3 Cu 2 O -f 6 AgN0 3 4- 3 H 2 = 2 Cu 2 H 3 N0 6 -j- 2 Cu(N0 8 ) a + 6 Ag. 
 
 Zulkowski 752 used this reaction in his studies of the copper ruby 
 and porpora glasses and found that whilst the porpora glass effected 
 a separation of metallic silver in accordance with the equation, the 
 copper ruby glass showed no such separation, even after many weeks. 
 
 (b) From the structural formulae of these three glasses it follows 
 that only the aventurine contains free metallic copper. The facts fully 
 confirm this consequence of the theory. For example, Wohler found 
 
THE CONSTITUTION OF COLOURED GLASSES 251 
 
 that on placing this glass in a solution of mercuric chloride it became 
 white and copper entered into solution a clear sign of the presence of 
 metallic copper. It might, of course, be argued that cuprous oxide, 
 which is also present in aventurine glass, would produce the same 
 result, but this argument has been met by Zulkowski 752 , who treated 
 the powdered glass with an ammoniacal solution of copper. In the 
 presence of metallic copper the reaction with this solution would be 
 
 Cu + CuO = Cu 2 0, 
 
 and the solution must be decolourised. Zulkowski placed a weighed 
 quantity of finely powdered aventurine glass in a test tube and then 
 added an ammoniacal solution of copper sulphate in such an amount 
 that the metal in it was equal to one-quarter of the copper in the glass. 
 The tube was then sealed and heated on a water bath. After 15 hours 
 the deep blue colour of the solution was entirely discharged, thus 
 proving beyond all doubt that aventurine glass contains free copper. 
 
 Zulkowski has also shown by similar tests that porpora and copper 
 red glasses contain no free copper. In the case of porpora the colour 
 of the solution was not affected in the least nor was the tint of the glass 
 changed, even after three years. The test was not so prolonged with the 
 copper red glass, but even after several weeks the colour of the 
 solution was not changed in the least. These tests show beyond all 
 question that the porpora and copper red glasses contain no free 
 metallic copper, but that it is present in aventurine glass. They also 
 shatter the opinion, commonly held, that the colour of the two glasses 
 first named is due to their ability to dissolve metallic copper and re- 
 tain it in solution in its metallic state. 
 
 (c) The structural formulae of porpora, copper red and aventurine 
 glasses also show that the colour is due to a definite chromophore 
 group and not merely to dissolved cuprous oxide as is frequently 
 stated. The investigations made by Seger 754 on coloured cuprous 
 glasses are in full agreement with this consequence. This investigator 
 showed that an alternately reducing and oxidising atmosphere is 
 necessary in the production of these glasses, and that the difficulties 
 in manufacture were not so much due to the glass itself as to the correct 
 atmosphere in the furnace. Seger found that the same glass-mixture 
 would produce all shades, from black, through brown, to bright red or 
 yellowish green, and that different parts in the same melt would vary 
 enormously in colour, according to the nature of the gases which 
 entered the crucible ; that some melts would be of good colour whilst 
 others of the same batch would be quite devoid of red and would, 
 instead, be black or grey. 
 
 All these variations show that red glass must have a definite chemical 
 constitution, that it must contain certain chromophore groups, and not 
 be merely a solution of copper or cuprous oxide. Seger confirmed 
 this view when he added 1 percent, of cupric oxide to a glass correspond- 
 ing in composition to 
 
 3 Na 2 3 CaO 3 B 2 3 15 Si0 2 . 
 
252 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 This mixture was placed in a porcelain crucible which was then placed 
 in a platinum one. The platinum crucible was fitted with a porcelain 
 lid through which protruded a porcelain tube of small bore. On 
 heating the crucible to 400 to 500 and passing a stream of hydrogen 
 or carbon monoxide through the tube, the copper oxide was reduced, 
 but the glass did not fuse ; it merely formed a red clinker. On raising 
 the temperature to 950 and continuing the stream of reducing gas, the 
 metallic copper previously formed disappeared, the particles dissolving 
 in the molten glass, and the colour of the glass changed from red to a 
 greenish grey. On powdering this grey glass and re-heating with 
 white glass to which a little oxidising agent, such as 1 per cent, iron 
 oxide, tin oxide or a sulphate like gypsum, had been added and sub- 
 stituting a stream of air for the former reducing gas, Seger obtained 
 a red glass. 
 
 He explained this phenomenon by supposing that the oxygen con- 
 verted the black metallic copper * into red cuprous oxide and the latter 
 gave the glass its red colour. Seger suggested the three following 
 equations as showing what occurred with different oxidants : 
 
 2 Cu + Fe 2 3 = Cu 2 + 2 FeO 
 2 Cu + Sn0 2 = Cu 2 + SnO 
 2 Cu + S0 3 = Cu 2 + S0 2 . 
 
 The correctness of the last equation is confirmed by the voluminous 
 development of gas during the fusion. 
 
 The red glass thus formed may clearly be represented by the 
 following formula : 
 
 B Si > Cu 2 < Si B 
 
 in which it is assumed that only a portion of the glass contains the 
 chromophore shown. Otherwise, the proportion of cuprous oxide would 
 have to be higher than that actually present. 
 
 The phenomena observed by Seger are in complete conformity 
 with the consequences of the application of the H.P. theory to coloured 
 glasses. 
 
 (d) It has, hitherto, been impossible to understand why coloured 
 glasses should contain such small quantities of free metallic con- 
 stituents. Not only can this fact now be explained, but it is a direct 
 consequence of the H.P. theory. 
 
 * Strictly, this is not metallic copper at all, but the leuco-compound or the reduced 
 leuco-compound (p. 246). 
 
ARE GLASSES SOLID SOLUTIONS? 253 
 
 (e) According to the theory there is a definite maximum for the 
 metallic constituents to which the colour of glasses, etc., is due. This 
 maximum is not exceeded in the glasses mentioned on preceding pages, 
 and further investigations will only show that it must not be 
 exceeded. 
 
 It is highly probable that glasses containing silver and gold are 
 completely analogous to those containing copper, but to prove this it 
 will be necessary to re-calculate the analyses of these glasses and to 
 consider their characteristics and properties with the aid of the H.P. 
 theory. 
 
 In reviewing the German edition of the present work, C. Desch 736 
 urged that the use of " definite formulae " for glass and porcelain is 
 unjustifiable. This is not surprising, as Desch has so strongly com- 
 mitted himself to the view that cements, glasses and porcelains are 
 all " solid solutions." Of various theories, that one is most likely to be 
 correct which explains the most facts and permits the prediction of 
 the most properties, and on this basis the H.P. theory, like all 
 others, must be judged. The authors of the H.P. theory have never 
 suggested that the structural formulae they assign to various substances 
 are in any sense " final," and they readily admit that they must be 
 altered whenever other formulae which correspond with more proper- 
 ties are discovered. Meanwhile, the fact that, at present, they 
 explain more properties than any other formulae yet devised is a 
 sufficient reason for the formulae deduced from the H.P. theory. 
 Moreover, so far as the authors of this theory are aware, there is, at 
 present, no real ground for doubting the correctness of their conclusions. 
 On the other hand, what good does it do to assume that glasses are 
 mixtures or solid solutions ? Such a view, which is held by many 
 chemists, including all the chief critics of the H.P. theory, does not in 
 any way advance the cause of science, because it fails to explain more 
 than a very small proportion of the facts, whilst an enormously large 
 number of them are fully explicable in accordance with the H.P. 
 theory. Under these circumstances, is it too much to say that the 
 deductions from the H.P. theory approximate far more closely to the 
 true structure of the substances concerned than do the " mixture " 
 and " solid solution " hypotheses ? 
 
 It should be observed that in this volume the authors have made 
 no attempt to show that all commercial glazes, glasses and porcelains 
 are definite chemical individuals, though, without doubt, many of them 
 are such. In the following pages the analyses of a number of glasses, 
 glazes, and porcelains have been calculated into the molecular form, 
 those materials being selected which, on account of their excellent 
 physical and other properties, appeared likely to consist of definite 
 chemical compounds. This calculation of the formulae should prove 
 of value in the further study of these materials. 
 
254 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 Formulae of Glasses, Glazes, and Porcelains 
 
 The following analyses of three Jena glasses are taken from 
 Hovestadt's book on the subject : 
 
 (a) Jena glass 3 III has the following composition : 
 
 3 Na 2 O 3 CaO 0.25 A1 2 3 0.75 B 2 3 12 Si0 2 
 Calcd. 16.07 14.52 2.20 4.53 62.67 
 Found 16 16 2 4 62 
 
 (b) Jena glass 6 III has the following composition : 
 
 3 Na 2 0.5 K 2 0.75 A1 2 3 0.25 B 2 8 15 SiO, 
 Calcd. 15.18 3.84 4.17 2.84 73.97 
 
 Found 15 5 5 2 73 
 
 (c) Jena glass 13 III has the folio whig composition : 
 
 1,5 K 2 2.5 ZnO B 2 O 3 10 Si0 2 
 Calcd. 13.86 19.91 6.86 59.37 
 Found 15 20 7 58 
 
 (d) The composition of a glass highly prized for champagne bottles, 
 analysed by Maumene 487 , is : 
 
 4 CaO 2 Na 2 - 0.25 K 2 0.25 A1 2 3 0.75 Fe 2 3 12 Si0 2 
 Calcd. 18.05 9.98 1.89 2.05 9.66 58.37 
 Found 18.60 9.90 1.80 2.10 8.90 58.40 
 
 According to F. Fischer 488 , the composition of the glaze ordinarily 
 used for porcelain corresponds to the formula : 
 
 RO 1 to 1.25 A1 2 O 3 10 to 12 Si0 2 . 
 
 The folio wing Tables have been calculated from various analyses of 
 porcelain and porcelain glazes published by Seger 489 . 
 
 I. Formulae of Porcelain Glazes 
 
 1 
 
 SiO, | TiO, | Al,0, 
 
 Perec 
 Fe,0 
 
 ntage o 
 CaO 
 
 I 
 
 MgO 
 
 K,0 
 
 NajO 
 
 H a O 
 
 Mole 
 
 E,O|E,O, 
 
 culea 
 EO, 
 
 H,0 
 
 Sources of glazes 
 
 1. 
 
 73.24 
 
 
 
 13.97 
 
 0.31 
 
 2.57 
 
 0.51 
 
 4.81 
 
 1.71 
 
 3.83 
 
 2.0 
 
 2 
 
 18 
 
 3.0 
 
 Berlin porcelain 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 glaze (old, prob- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ably of Dr. Eis- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ner's period). 
 
 2. 
 
 76.11 
 
 
 
 14.61 
 
 0.66 
 
 1.44 
 
 0.42 
 
 2.99 
 
 3.03 
 
 1.23 
 
 1.5 
 
 2 
 
 18 
 
 1.0 
 
 Pegmatite glaze 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 from L. Sazerat 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 in Limoges. 
 
 3. 
 
 74.99 
 
 
 
 14.80 
 
 0.37 
 
 1.09 
 
 0.36 
 
 4.31 
 
 3.49 
 
 0.65 
 
 2.0 
 
 2 
 
 17 
 
 0.5 
 
 Porcelain glaze 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 from Limoges 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (per Held & Co., 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Mayence). 
 
 4. 
 
 64.96 
 
 
 
 12.74 
 
 0.80 
 
 8.78 
 
 
 
 1.95 
 
 2.30 
 
 9.19 
 
 3.5 
 
 2 
 
 17 
 
 8.0 
 
 Japanese porce- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 lain glaze from 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Arita. No. 2. 
 
 5. 
 
 61.97 
 
 
 
 12.92 
 
 0.39 
 
 9.59 
 
 
 
 4.17 
 
 1.12 
 
 9.91 
 
 3.5 
 
 2 
 
 16 
 
 8.5 
 
 Japanese porce- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 lain glaze from 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Arita. No. 1. 
 
 6. 
 
 64.88 
 
 1.39 
 
 14.33 
 
 1.39 
 
 10.09 
 
 1.55 
 
 5.61 
 
 
 
 
 
 4.5 
 
 2 
 
 15 
 
 
 
 Chinese celadon 
 
 
 
 
 
 (FeO) 
 
 
 
 
 
 
 
 
 
 
 glaze. 
 
FORMULA OF PORCELAIN GLAZES 
 
 II. Formula of Porcelains 490 
 
 255 
 
 No 
 
 SiO, 
 
 Al,0, 
 
 Per 
 F ej 3 
 
 centage 
 MgO 
 
 of 
 K,0 
 
 Na a O 
 
 H 2 O 
 
 E 4 O 
 
 Mole 
 R.O, 
 
 culea 
 SiO a 
 
 H a O 
 
 Source of the Porcelains 
 
 1. 
 
 63.95 
 
 25.59 
 
 0.69 
 
 0.54 
 
 2.07 
 
 0.98 
 
 6.62 
 
 0.5 
 
 3 
 
 12 
 
 4.0 
 
 Soci6te anonyme de 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Hal (Belgium). 
 
 2. 
 
 63.07 
 
 24.67 
 
 0.59 
 
 0.40 
 
 4.25 
 
 
 
 7.00 
 
 0.5 
 
 3 
 
 12 
 
 4.5 
 
 Berlin porcelain, 187 7 
 
 
 
 
 
 
 Alk. 
 
 
 
 
 
 
 
 
 3. 
 
 63.48 
 
 25.00 
 
 0.51 
 
 1.06 
 
 2.26 
 
 1.19 
 
 6.76 
 
 0.5 
 
 3 
 
 12 
 
 4.0 
 
 A. Hache & Pepin, 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 Schalleur, Vierzon. 
 
 4. 
 
 60.53 
 
 26.37 
 
 0.75 
 
 0.69 
 
 2.95 
 
 1.44 
 
 6.39 
 
 0.5 
 
 3 
 
 12 
 
 4.0 
 
 L. Sazerat, Limoges, 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 body for heavy 
 
 
 
 
 
 
 
 
 
 
 
 
 
 porcelain. 
 
 5. 
 
 60.42 
 
 26.47 
 
 0.52 
 
 1.37 
 
 2.75 
 
 1.60 
 
 7.19 
 
 1.0 
 
 3 
 
 12 
 
 5.0 
 
 L. Sazaret, Limogea, 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 ordinary body 
 
 6. 
 
 76.75 
 
 18.44 
 
 1.17 
 
 0.02 
 
 4.23 
 
 0.17 
 
 
 
 0.5 
 
 3 
 
 18 
 
 
 
 Japan IV, Biscuit of 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 egg-shell porcelain. 
 
 7. 
 
 71.31 
 
 19.74 
 
 0.73 
 
 0.17 
 
 4.04 
 
 0.1 
 
 4.01 
 
 1.0 
 
 3 
 
 18 
 
 3.0 
 
 Japanese Body II. 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 
 8. 
 
 71.60 
 
 18.71 
 
 1.19 
 
 
 
 4.16 
 
 0.18 
 
 4.68 
 
 1.0 
 
 3 
 
 18 
 
 4.0 
 
 Japanese Body III. 
 
 
 
 
 
 
 
 
 &org. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Subst. 
 
 
 
 
 
 
 9. 
 
 65.79 
 
 23.51 
 
 0.31 
 
 1.59 
 
 2.01 
 
 1.73 
 
 5.89 
 
 1.0 
 
 3 
 
 15 
 
 4.5 
 
 Guerin & Co. (Body 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 for figures). 
 
 10. 
 
 69.32 
 
 23.64 
 
 0.83 
 
 0.86 
 
 2.66 
 
 1.82 
 
 5.98 
 
 1.0 
 
 3 
 
 15 
 
 4.5 
 
 Guerin & Co. (su- 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 perior body). 
 
 11. 
 
 65.61 
 
 23.07 
 
 0.65 
 
 0.80 
 
 2.94 
 
 2.72 
 
 4.50 
 
 1.0 
 
 3 
 
 15 
 
 3.5 
 
 Guerin & Co.) (su- 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 perior body). 
 
 12. 
 
 66.00 
 
 22.59 
 
 0.36 
 
 1.68 
 
 2.71 
 
 1.80 
 
 5.59 
 
 1.0 
 
 3 
 
 15 
 
 4.0 
 
 Guerin & Co. (ordin- 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 ary body). 
 
 13. 
 
 64.52 
 
 22.07 
 
 0.97 
 
 2.10 
 
 1.35 
 
 3.13 
 
 5.60 
 
 1.0 
 
 3 
 
 15 
 
 4.0 
 
 J. Poyat, Limoges 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 (ordinary body). 
 
 14. 
 
 66.78 
 
 22.70 
 
 0.55 
 
 0.97 
 
 1.07 
 
 1.51 
 
 6.07 
 
 0.5 
 
 3 
 
 15 
 
 4.5 
 
 Carlsbad Body I. 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 
 15. 
 
 65.17 
 
 23.63 
 
 0.51 
 
 1.09 
 
 2.92 
 
 0.90 
 
 5.98 
 
 0.5 
 
 3 
 
 15 
 
 4.5 
 
 Carlsbad Body II. 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 
 16. 
 
 64.28 
 
 23.49 
 
 0.87 
 
 1.77 
 
 1.11 
 
 3.07 
 
 5.48 
 
 1.0 
 
 3 
 
 15 
 
 4.0 
 
 J. Poyat, Limoges 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 (superior body). 
 
 17. 
 
 66.97 
 
 20.92 
 
 0.64 
 
 2.06 
 
 2.75 
 
 0.41 
 
 5.43 
 
 1.0 
 
 3 
 
 16 
 
 4.0 
 
 A. Hache & Pepin 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 (superior body). 
 
 18. 
 
 52.94 
 
 28.91 
 
 0.48 
 
 3.99 
 
 1.7 
 
 0.68 
 
 9.12 
 
 2.0 
 
 6 
 
 18 
 
 10.0 
 
 Sevres, Body for 
 
 
 
 
 
 CaO 
 
 
 2.48 
 
 
 
 
 
 
 table-ware. 
 
 
 
 
 
 0.17 
 
 
 C0 2 
 
 
 
 
 
 
 
 
 
 
 
 MgO 
 
 
 
 
 
 
 
 
 
 19. 
 
 74.53 
 
 16.09 
 
 1.03 
 
 0.06 
 
 4.37 
 
 1.19 
 
 2.83 
 
 1.0 
 
 2 
 
 15 
 
 2.0 
 
 Japanese Body I. 
 
 
 
 
 
 CaO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0.25 
 
 
 
 
 
 
 
 
 
 
 
 
 
 MgO 
 
 
 
 
 , 
 
 
 
 
 
 From a study of the foregoing formulae it will be seen that there 
 is a great probability of the hexites or pentites playing an important 
 part in the structure of the substances under consideration. 
 
 XVI. The Eexite-Pentite Theory as a General Theory of Chemical 
 
 Compounds 
 
 The following facts make it appear probable that the new hexite- 
 pentite, or more briefly the H.P. theory, which originated in connection 
 with the aluminosilicates, is capable of application as a general theory 
 of chemical compounds. 
 
256 CONSEQUENCES OF THE H.P. THEORY 
 
 A. The H.P. Theory and the Composition of the Metal-ammonias and the 
 
 Belated Compounds 
 
 The H.P. theory appears to be of special value with regard to the 
 constitution of the metal-ammonias and the related compounds. In 
 Gmelin-Kraut's " Handbuch " (1909. V, p. 337) a number of compounds 
 termed metal-ammonias are described, and from the empirical formulae 
 there given, the following may be selected as being likely to contain 
 hexite or pentite radicles : 
 
 [Co(NH 3 )J 2 Cl 4 (PtCl 6 ) J H 2 0, [Co(NH 3 ) 6 ] 2 (PtCl 6 )Cl 4 2 H 2 0, 
 [Co(NH,).][Cr(CN).], [Co(NH 3 ) 6 ][Fe(CN) 6 ) 3 [Co(NH 3 ) 6 ][Co(CN) 6 ], 
 [Co(NH 3 ) 5 ][Fe(CN) 6 ] - 1 J H 2 O, [Co(NH 3 ) 5 ][Co(CN 6 )], 
 [Co(NH 3 ) 5 N0 2 ] 3 [Co(N0 2 ) .] [Co(NH 3 ) 4 NO 2 ]S0 4 H 2 0, 
 [Co 2 2 (NH 3 ) 10 ](NH 3 ) 4 2 H 2 0, etc. 
 
 Of special interest are the compounds : 
 
 f /Co 2 NH(NH 3 ) 8 "| x 
 L\Co 2 NH(NH 3 ) 8 J A ' 
 
 X = N0 3 , Br, a, etc. 
 
 Co 4 (NH 3 ) 10 (N0 2 ) 12 H 2 0, Co 4 (NH 3 ) 20 (N0 3 ) 10 , 
 
 Co 4 (NH 3 ) 10 (N0 2 ) 12 H 2 0, Co 2 (NH 3 ) 10 (S0 4 ) 2 C0 3 4 H 2 0. 
 
 Also the compounds : 
 
 2 Na 2 Co 2 3 5 N 2 3 H 2 0, 
 
 3 Na 2 Co 2 3 6 N 2 3 H 2 0, 
 
 and the cobalt oxalates : 
 
 Na 3 (NH 4 ) 3 Co 2 (C 2 4 ), 7 H 2 0, 
 K 3 Na 3 Co 2 (C 2 4 ) 6 6H 2 0, 
 K 5 Na 19 Co 8 (C 2 4 ) 24 - 32 H 2 0, etc. 
 
 The hexites clearly play an important part in the following com- 
 plexes of nitric acid, prepared by Oppenheim 491 : 
 
 K 4 Ni(N0 2 ) 6 , K 2 BaNi(N0 2 ) 6 , K 2 SrNi(N0 2 ), K 2 CaNi(N0 2 ) 6 , 
 K 2 PbNi(N0 2 ) and Ba 2 Ni(N0 2 ),, 
 
 from which it is impossible to substitute another metal for the Ni by 
 any of the ordinary methods of double decomposition. 
 The following penta-compounds : 
 
 K 3 Cu(N0 2 ) 5 , K 3 Zn(N0 2 ) 5 -6H 2 and K 3 Hg(N0 2 ) 5 H 2 0, 
 
 also prepared by Oppenheim, are interesting, inasmuch as they show 
 that three-fifths of the OH-groups in pentanitrites behave differently 
 from the others. 
 
 Hexites clearly occur, also, in the following compounds prepared 
 by Soenderop 492 : 
 
 2 (K 2 Co 2 Cy 12 )HgJ 2 , Hg 3 Co 2 Cy 12 K 6 Co 2 Cy 12 , Hg 3 Co 2 Cy 12 Na 6 Co 2 Cy lz , 
 K 3 CoCy,, Na 3 CoCy 6 2 H 2 0, (NH 4 ),Co 2 Cy 12 H 2 0, 
 (NH 4 ) 6 Co 2 Cy 12 HgCy 2 H 2 0. 
 
METAL-AMMONIAS AND RELATED COMPOUNDS 257 
 
 The hexites also play an important part in the yellow and red 
 ferrocyanides, K 4 Fe(CN 6 ) and K 3 Fe(CN 6 ) and in the double salts 
 FeCl 3 3 KC1, CdCl 2 4 KC1, etc. * 
 
 The number of compounds whose composition indicates the possi- 
 bility of hexites and pentites playing an important part is very large, 
 and all attempts to represent these atomically have hitherto proved 
 unsatisfactory. 493 For some of them, structural formulae have been 
 devised, as Erlenmeyer's 494 and Friedel's 495 formulae for the ferro- 
 cyanides ; Blomstrand's 496 formulae for ferrocyanides and metal- 
 ammonias ; Jorgensen's 497 formulae for the metal-ammonias and 
 Remsen's 498 for the double salts. Kohlschutter 499 has shown that the 
 defects in all these suggested formulae are due to their limited applic- 
 ability ; instead of a broad general principle, these formulae are only 
 related to special compounds, and it is not infrequently found that 
 they do not apply to apparently closely related compounds. 
 
 A. Werner 500 was one of the first to call attention to the repeated 
 occurrence of the number 6 in inorganic compounds and to utilise this 
 in the formulation of a theory of molecular compounds in which an 
 attempt was made to construct structural formulae. 
 
 [Werner discovered a remarkable series of optically active compounds of cobalt 
 and chromium, whose activity he traced, in this case, to the hexavalency of the elements 
 in question. 
 
 He regarded an element as possessing, in addition to its usual or " principal " 
 valencies, what he designated " auxiliary " valencies, i.e. a land of fractional valency 
 capable of effecting the union of otherwise independently acting molecules like NH 3 
 and H 2 O. For the present purpose it will be convenient to distinguish between these 
 two types of valency, though the manifestation of the latter is understood by Werner 
 to be independent of units, being variable within wide limits with the nature of the 
 atoms combined and the external physical conditions. Under the influence of both 
 principal and auxiliary valencies, the components of a complex molecular compound 
 arrange themselves into zones around the central element. The first zone comprises a 
 maximum of four or six univalent atoms or groups, this number going by the name of 
 " co-ordination number," and each additional component of the complex is relegated 
 to the second zone, where it takes upon itself certain peculiarities in behaviour, notably 
 that of mobility and consequent tendency to ionisation. 
 
 For instance, the structure of the well-known complex CoCl 2 6 NH 3 was formerly 
 written 
 
 Cl NH 3 NH 3 - NH 3 Co NH 3 NH 3 - NH 3 Cl, 
 
 a representation at once unwieldy and inadequate, though consistent with the then 
 prevalent ideas of valency. Werner, however, regards it as possessing the structure : 
 
 [ 
 
 NH 3 
 
 NH 3 Co 
 NH 3 
 
 in which the ammonia molecules are united with the cobalt atom by auxiliary valencies 
 and comprise a first zone (usually marked by square brackets), whilst the two ionisable 
 chlorine atoms fall into a second. The six constituents of the first zone may be supposed 
 to be arranged symmetrically around the metallic atom, so as to be situated at the corners 
 of a regular octahedron (Fig. 4), the position of the chlorine atoms remaining undefined 
 by Werner. 
 
 Other groups than NH 3 may be included in the first zone, in which case it is easy 
 to see that isomerism becomes possible with compounds of the type 
 
 A ~l 
 
 Me 
 
 B *_ 
 
 Xn 
 
258 
 
 CONSEQUENCES OF THE H.P. THEORY 
 
 This hypothetical tetrahedral grouping permits the prediction of the possibility 
 of two isomers, whose space formulae are not superposable ; both such substances should 
 therefore be optically active. By submitting to resolution certain compounds of the 
 two types : 
 
 tA I" A 2 Co en 2 ~| 
 
 Co en. I and I 
 w 
 
 in which A or B represents Cl, Br, NH 3 , NO 2 , SCN or H 2 O and en=ethylene diamine 
 or two molecular radicles NH 3 , Werner obtained isomers with a very appreciable 
 rotation. In one isomer containing a single atom of cobalt, a specific rotation of 200 
 was obtained, whilst another with two cobalt atoms gave the very high value of 840. 
 Some of these compounds maintain their optical activity unchanged in solution 
 for several months, others exhibit a phenomenon akin to muta-rotation. The sub- 
 stitution of certain components of the complex by different groups sometimes produces 
 racemisation, whilst in others the activity is preserved. A few of these complexes give 
 a very considerable rotary dispersion. The peculiar feature about the chromium com- 
 pounds is that the value of the rotary power always lies about 150 below that of the 
 corresponding cobalt compound, indicating that the metal must play the master-role 
 in the production of the activity. In his book, "New Ideas on Inorganic Chemistry " 
 (translated by Hedley), Werner fully states the evidence in favour of his theory so far 
 as it could be produced at the time when his book was published.] 
 
 NH 3 
 
 FIG. 4. 
 
 Werner 501 states that : " If, in accordance with (his) proposed 
 structural formulae, the elementary atoms forming the molecules have 
 their valencies saturated, they must, nevertheless, have some un- 
 saturated valencies, as only in this way is it possible to explain how 
 the apparently saturated molecules can unite with each other to 
 form molecular compounds. It was formerly the general belief, and 
 even now this same view is largely held, that the structure of molecular 
 compounds is unprovable as they consist of the combination of the 
 molecules to form complexes quite apart from the relationship of the 
 atoms concerned. Recent discoveries have, however, shown that this 
 combination of molecule with molecule seldom, if ever, occurs, and 
 that, even in molecular compounds, the combination is really between 
 definite atoms. Hence, it is possible to devise structural formulae for 
 the so-called molecular compounds in the same manner as for the 
 valency compounds." 
 
WATER OF CRYSTALLISATION 259 
 
 The difference between the valency compounds and the molecular 
 ones is due, according to Werner's co-ordination theory, to the valency 
 compounds being derived from compounds in which the chief valencies 
 are saturated, whilst the molecular compounds are formed by satura- 
 tion of minor valencies. According to this theory the molecular 
 compounds should be less stable than the valency compounds, yet this 
 is by no means always the case : a very large number of the so-called 
 molecular compounds being amongst the most stable substances known ! 
 
 The representation of the constitution of the compounds under 
 consideration by means of the H.P. theory overcomes the difficulty 
 introduced by the use of major and minor valencies, as in Werner's 
 theory, as the H.P. theory is one of valency compounds and not of 
 molecular ones and is in full agreement with the high stability which 
 has been observed. 
 
 B. The H.P. Theory and the so-called "Water of Crystallisation" 
 
 The frequent occurrence of 6 and 5 H 2 O molecules in compounds 
 containing " water of crystallisation " suggests that this water may be 
 in the form of hexites or pentites and may thus form the foundation of 
 a theory to explain the occurrence of water of crystallisation. 
 
 The view that the H 2 0-molecules can form hexites and pentites 
 requires a higher valency for oxygen than that usually ascribed to it. 
 Various writers have shown that oxygen has, at times, a higher 
 valency than 2, and the physical properties of water confirm this. 
 Thomsen 502 has pointed out that the water molecules of salts often 
 separate in pairs at the same temperature, from which he concluded 
 that either the water molecules are arranged symmetrically about 
 the molecule of the salt or the molecular weight of water is double 
 that of steam. The latter view requires oxygen to have a valency 
 greater than 2. 
 
 A number of other investigations imply that water is capable of 
 becoming polymerised. Thus, Paternos' experiments 503 suggest that 
 the molecular weight of water in acetic acid is 18 or 36, according to 
 the solidifying temperature of the mixture. According to Eykmann 504 , 
 water in paratoluidine has one-half, but in phenol the full normal 
 molecular pressure. Walker 505 has measured the heat of liquefaction 
 of ice in ethereal solution and concludes that the molecular weight of 
 water is 36. Ramsay and Aston 506 consider that water and some other 
 substances containing hydroxyl, such as alcohol, acids, etc., are 
 molecular aggregates when in a fluid condition. 
 
 [W. R. Bousfield and T. Martin Lowry 771 have advocated the view that liquid 
 water is a ternary mixture of " ice molecules," " water molecules," and " steam 
 molecules," these three varieties being perhaps identical with Sutherland's 772 " trihy- 
 drol." Armstrong 773 has added to this theory the conception of isomeric molecules, 
 of equal size, but different structure. Moreover, Tamman 774 has prepared at least 
 four polymeric forms of ice : 
 
 dihydrone" V) = OC with 
 H/ X H 
 
260 CONSEQUENCES OF THE H.P. THEORY 
 
 H\ /OH 
 
 " hydronol " >O< 
 
 H/ X H 
 
 and BO forth. Such extensions as these have been found to be necessary, in order to 
 explain the experimental data that have been accumulated in recent years, and must 
 now be regarded as essential parts of the theory of the constitution of water. 
 
 Even steam, so long considered as a uniform material that could be represented 
 accurately by the much-beloved and greatly over- worked formula H 2 O, has been shown 
 by the careful measurements of Bose 776 to be a mixture of simple and polymerised 
 molecules, e.g. 
 
 H 4 O 2 2 H 2 O 
 
 the proportion of the substance in the simpler form being reckoned at 91 per cent, in 
 the neighbourhood of the boiling point.] 
 
 Kohlrausch and Heydweiller 507 and H. Ley 508 have found that the 
 electrolytic dissociation of water is greatly increased on raising the 
 temperature. The " acidity," which is very feeble at the ordinary 
 temperature, increases to such an extent that at 100 C. it is almost 
 equal in strength to that of phenol. This 509 is clearly shown in the 
 following Table, in which t is the temperature, d the degree of dissocia- 
 tion and K the affinity coefficient : 
 
 t d K 
 
 0.35 10- 7 0.12 10- 14 
 
 10 0.56 10- 7 0.31 10- 14 
 
 18 0.80 10- 7 0.64 10- 14 
 
 34 1.47 - 10- 7 2.20 10" 14 
 
 50 2.48 10- 7 6.20 10~ 14 
 
 The strength (K) of the water increases considerably in the interval 
 between and 50, and at 100 has a value at least a thousand times that 
 at zero. This enormous increase in the strength at higher temperatures 
 is explicable on the assumption that polymerisation occurs in the sense 
 of the H.P. theory. 
 
 Assuming that oxygen has a higher valency than 2 and that 
 water can form polymerisation products, the constitution of water- 
 hexite and water-pentite may be represented graphically by : 
 
 \/ 
 
 6 H 2 5 H 2 
 
 which may be abbreviated to H or H or to A and -. 
 
 Such compounds may then be represented in more complex ones as 
 follows : 
 
 ii T ii 
 
 2 Si | Al | Si C 
 
 I 1 i I 1 
 9 H 2 3 A1 2 3 12 Si0 2 4 H 2 H. 
 
WATER OF CRYSTALLISATION 261 
 
 The bonds between the rings in this aluminosilicate are loosened by 
 the manner in which the cyclic water (or water of crystallisation) is 
 attached, and the position and mode of attachment of the water of 
 crystallisation weakens or destroys the bonds between the base and 
 the remainder of the molecule. 
 
 The Theory and the Facts 
 I. Hydro-aluminosilicates 
 
 The structural formulae shown below may be derived from the 
 hydro-aluminosilicates given on page 105. 
 
 I II I 
 _/\/\/\_ 
 
 Ill I i I 
 
 \/\/\_, ,__ /\/\/\_, 
 
 All Si | All |Al|Si|Al| or A1 Si Al 
 
 --\/\/\/ ' \/\/\/~' ~\/\ 
 
 I II I I II I I II 
 
 H? 2 (A1 S A i Al) 4 H H H? 2 (Al Si Al) 4 H - 2 H 
 
 I Al Si Al| or 
 
 XV J > 
 
 HJ,(A1 Si Ai) 6 H 
 
 I II I I II I 
 
 .x\/\/\_, _/\/\/\. 
 
 |A1 Si All or I All Si All 
 
 II J_ |_ 
 
 H 10 (Al-Sl- Al) -4H-H. 
 
 The position of the various water-rings implies (in agreement 
 with theory) that these aluminosilicates are readily decomposed by 
 acids. 510 A further study of these compounds must show that the 
 easily separable water the cyclic water must be attached with 
 varying degrees of strength. 
 
 II. Hydro-ferrosulphates 
 
 0. Kuntze 511 has studied the loss of water undergone by a mineral 
 of the composition 
 
 6 Fe,0 3 18 SO, 62 H,0 
 
CONSEQUENCES OF THE H.P. THEORY 
 
 at different temperatures. If the results obtained by him are calculated 
 into formulae, they agree surprisingly well with the structural formula : 
 
 Fe 
 
 _ l 
 
 as may be seen from the following figures : 
 
 
 Calcd. 
 
 Found 
 
 
 40H 2 
 
 20.48% 
 
 21. 04% split off at 105 C. 
 
 8H 2 
 
 4.07% 
 
 fr.UO /o }, ,, 
 
 110 
 
 2H 2 
 
 1.030/0 
 
 0.790/0 
 
 130 
 
 8H 2 
 
 4.090/0 
 
 4,060/0 
 
 140 
 
 4H 2 
 
 2.050/0 
 
 2.38% ,, ,, 
 
 red heat 
 
 6 Fe 2 3 
 
 27.30% 
 
 26.86% 
 
 
 18 SO, 
 
 40.950/0 
 
 39.01% 
 
 
 
 
 A1 2 3 0.27% 
 
 
 
 
 Insoluble 1.79. 
 
 
 This shows that the water pentites are split off at 105, the weakly 
 bound "water of constitution" of the S0 3 side-chains at 110, the 
 more strongly bound " water of constitution " of the middle S0 3 -ring 
 at 130, the remainder of the " water of constitution " of the S0 3 side- 
 chains at 140, and the " water of constitution " of the iron-ring and 
 the remainder of the water of the middle S0 3 -ring at red heat. 
 
 III. The Water of Crystallisation in the Alums 
 
 In the light of the above theory of water of crystallisation, the 
 alums possess the following structural formula : 
 
 iiii 
 3 K 2 12 H 2 O 3 R 2 8 12 S0 3 10 H. 
 
 From this structural formula it follows that : 
 
 1. Five-sixths of the water (the hexite water) must be bound more 
 loosely than the rest. 
 
 2. The bond between the rings on the one part, and between the 
 rings and the base on the other, must increase with the amount of 
 water split off. 
 
 These consequences of the theory agree with the facts, as Van 
 Cleef 512 has shown that the gradual and steady loss of water molecules 
 which occurs in the alums when the heating is continued after five- 
 sixths of the total water have been removed, is very noticeable. 
 Recoura 513 and Whitney 514 have found that on heating chrome-alum 
 
WATER OF CRYSTALLISATION IN ALUMS 263 
 
 at 1 10 to constant weight, a new alum with new properties is obtained. 
 This new compound is readily soluble in water, but, unlike the true 
 alums, is not precipitated by barium chloride, i.e. the new compounds 
 contain no S0 4 -ions ; the bond between the S0 3 and Cr 2 O 3 is strength- 
 ened by the loss of H. 
 
 Water-free chrome alum may clearly occur in two isomeric forms 
 as shown in the following structural formulae : 
 
 I til 
 
 S Cr 
 
 |s|" 
 \/~~ 
 
 A. 
 
 Ortho compound. 
 
 It is interesting to note that the free acids of this chrome alum 
 have been prepared by both Recoura and Whitney. 
 
 A glance at the structural formulae of the compounds A and B 
 shows that these substances behave very differently in both chemical 
 and physical properties. The basic or H-atoms in the ortho-compound 
 are more easily separated than those in the para-compound. As a 
 matter of fact, the ortho-compound (the green modification) has a 
 measurable electrical conductivity, whilst the yellowish brown or para- 
 compound shows no such conductivity. 
 
 The lowering of the freezing point of the green acid (A compound) 
 is 0.24, that of the yellowish brown or B compound is 0.07. Accord- 
 ing to Whitney the green modification can be converted into the 
 yellowish brown one which, in aqueous solution, has the appearance 
 of absinthe. It gelatinises after a few days. 
 
 IV. The Water of Crystallisation of Chromo -Sulphuric Acids 
 
 According to the new theory of water of crystallisation enunciated 
 above, the two chromo-sulphuric acids studied by Recoura,* namely : 
 12 H 2 6 Cr 2 3 18 SO 3 96 H 2 (violet chromo-sulphuric acid) and 
 12 H 2 6 Cr 2 O 3 18 S0 3 36 H 2 O (green chromo-sulphuric acid) 
 must have the following structural formulae : 
 
 fl 1 V I fl II j jl j )l 
 
 <= /\/\/\/\/\ > == /\/\/\/\/\ == 
 
 <= | S | Cr | S | Cr S ~ > J S | Cr | S | Cr | S | = 
 
 VVVVV VY x ii x j j 
 
 Violet Chromo-sulphuric acid. Green Chromo-sulphuric acid. 
 
 A. B. 
 
 * When chromic hydrate is dissolved in sulphuric acid the solution is at first green, 
 but after a while changes to violet and deposits violet-blue, regular octohedra to which 
 is ordinarily assigned the formula Cr 2 (SO 4 ) 3 15 H 2 O, the proportion of water being some- 
 what uncertain. In the corresponding salts, the green variety gradually changes to 
 violet at ordinary temperatures when in solution, but on boiling the violet changes 
 rapidly into the green variety. It is generally stated that the green variety does not 
 crystallise, and there is good reason to suppose that it is colloidal. A. B. S. 
 
264 CONSEQUENCES OF THE H.P. THEORY 
 
 I ii 
 
 or 
 
 A glance at the structural formulae of the compounds A, B and C 
 will show that the A compound must be less stable than B and C as it 
 contains more water hexites. The Cr and S rings of the B and C 
 compounds must be more strongly bound than those in compound A . 
 
 This consequence of the theory is confirmed by the discovery of 
 Recoura, that the addition of barium chloride to the violet solution 
 produces an immediate precipitate, whilst the green solution, when 
 similarly treated, undergoes no apparent change. 
 
 The theory also explains the following behaviour of the green acid : 
 In the air it appears to remain unchanged for several years, but its 
 aqueous solution is very unstable and. on the addition of barium 
 chloride, only a weak precipitate forms even after an hour. In time, a 
 more labile bond is formed between the rings of the acid by the 
 addition of water hexites. 
 
 If the nature of the separation of the water hexites in the A 
 compound is compared with that of the ferrosulphuric acid, a definite 
 analogy is observed. Here, also, the water hexites in the chrome and 
 middle S0 3 -rings are more firmly bound than the water hexites in the 
 side S0 3 -rings. 
 
 On heating to 90, or more rapidly when boiled, the violet acid, or 
 A compound, forms a green solution the composition of which, as 
 Recoura's experiments have shown, has nothing in common with the 
 solid green acid. 
 
 The fact that the colour of a compound can be changed by the 
 addition of water to its molecule, closely agrees with the view that a 
 change of colour may occur in a dilute aqueous solution on account of 
 the combination of water hexites or pentites. 
 
 Recoura has studied the chemical reactions of the solution in a 
 thermo-chemical manner. If increasing amounts of sodium are added 
 to the green solution, the heat evolved on the addition of an amount 
 of sodium equivalent to one-sixth of the sulphuric acid of the sulphate 
 will be equal to the heat evolved when sodium combines with an acid, 
 whereas all other proportions of sodium evolve much less heat. 
 
 From this it follows that on boiling a compound of the type 
 
 S Cr S Cr S it is converted into the penta-compound S Cr S 
 Cr S with resulting separation of three molecules of sulphuric acid. On 
 treating the green sulphate S Cr - S Cr S with BaCl 2 a very stable 
 
 compound of the type S Cr Cr S is formed, as already noticed in 
 connection with other complexes, and according to Recoura only one- 
 fifth of the penta-acid is precipitated. 
 
WATER OF CRYSTALLISATION IN ACIDS 265 
 
 If the mixture of green penta-acid is allowed to stand a long time, 
 the penta- is converted into the violet hexa-acid. The penta-acid has 
 not yet been prepared. 
 
 Whitney has tested Recoura's results by modern physio -chemical 
 methods and has fully confirmed them. 
 
 Attention may also be directed, in this connection, to the hydrates 
 of the cerium, praesodymium and neodymium sulphates studied 
 by Roelig 515 . For instance, a concentrated solution of cerium sulphate 
 at 25 forms the duodecihydrate Ce 2 (SO 4 ) 3 12 H 2 O ; between 30 and 
 40 C. the octohydrate Ce 2 (S0 4 ) 3 8 H 2 0, and at temperatures above 74 
 the pentahydrate Ce 2 (S0 4 ) 3 5 H 2 O. 
 
 The structural formulae of these acids, according to the H.P. 
 theory, are : 
 
 fi i ii i ii it i it i ii ii i ii i ii 
 
 "III SjOe| SJCeJ S |^ l!| S |Ce| S J OeJ S jjl I] S]Ce[SjCeJ SjII 
 
 I 1 I IJ I I] H I II I II II I II I II 
 
 "Duodecihydrate." "Octohydrate." "Pentahydrate." 
 
 That the bond between the rings and the base is weakened by the 
 addition of water radicles hexite and pentite is shown by the 
 following facts : 
 
 1. According to an article in the "Papierzeitung" 516 , two-thirds 
 of the acid in a saturated solution of aluminosulphuric acid (366 g. 
 aluminium sulphate per litre) may be neutralised with trinomial 
 caustic soda solution, a permanent precipitate being formed. If the 
 original solution is diluted ten times, only as much base is taken up as 
 will correspond to one- third of the sulphuric acid. 
 
 From this it follows that in a concentrated solution all the H-atoms 
 of the acid may be replaced by a base, but in a dilute solution only 
 half of these atoms can be so replaced. 
 
 The structural formula of the aluminosulphuric acid under con- 
 sideration is : 
 
 -AAAAA= 
 
 "| 8 I All S | All S |~~ *<! 
 
 \/\A/\/\/~~ 
 
 H i it i H 
 
 In a concentrated solution, 24 OH-groups are replaced by OR', but 
 only 12 hydroxyls are replaced in a dilute solution. 
 
 2. Gittelson 517 has found that by treating concentrated cerium 
 solutions with concentrated phosphate solutions, salts are produced 
 such as 
 
 3 Na 2 - 6 Ce 2 8 - 6 P a 5 24 H a O, 
 
 but with dilute solutions of these substances free acids are produced. 
 
266 CONSEQUENCES OF THE H.P. THEORY 
 
 C. The H.P. Theory and the Dissociation Theory of Arrhenius 
 
 It has been shown in the foregoing pages that the addition of 
 cyclic water affects the bond of the rings and the ions. On the addition 
 of water of crystallisation the bond between the rings is reduced and the 
 ionisation increased. This fact is of great value in formulating a new 
 theory of solutions. It leads to the " Dissociation Theory " of Ar- 
 rhenius and gives it a new experimental basis. 
 
 According to Nernst 518 , it is always questionable whether a mole- 
 cule in solution adds water molecules or not, as the Raoult and van't 
 Hoff methods give no definite results in this respect. Yet in view of the 
 strong disdynamic action of water there can be no doubt that the 
 dissociation of a solution of a salt on increasing dilution is accompanied 
 by the addition of water. 
 
 Hence the fundamental law of van't Hoff in regard to solutions 
 viz. that in highly dilute solutions substances assume a condition 
 similar to gases 519 appears in a new light. Van't Hoff first suggested 
 that the osmotic pressure of a solution (e.g. sugar in water) is as great 
 as the pressure produced by an equal quantity of the dissolved sub- 
 stance if the latter were in the form of a gas occupying the same 
 space as the solution. Yet no one had ever explained why dissolved 
 substances should behave in this manner and no reason was known as 
 to how the osmotic pressure was created. The authors' view (that 
 an addition of water molecules to the molecules of the substance in 
 solution occurs) indicates the existence of a definite attractive force 
 between the molecules dissociated by the water and the water outside 
 the semi-permeable membrane, and that that attractive force is the 
 cause of the osmotic pressure. 
 
 Numerous other facts may be equally easily explained in the light 
 of this new theory ; amongst others are the formation of hydrates in 
 solutions, 520 the presence of molecular aggregates in concentrated 
 solutions and their destruction on dilution, e.g. the dissociation of the 
 ether molecular aggregate (CH 3 O CH 3 ) n , the aggregate CH 3 CO 
 NH 2 in aqueous solution and several thermo-chemical phenomena. 
 
 The view that hydrates are formed in aqueous solutions is held by 
 a number of authorities, some of whom have supported their opinion 
 by experimental evidence, as : A. Werner 521 , Abegg and Bodlander 522 , 
 Euler 523 , Hantzsch 524 , Lowry 525 , Tournier d'Albe 526 , Jones and his 
 associates 527 , V. Kohlschiitter 528 , Vaillant 529 , R. J. Caldwell 530 , H. E. 
 Armstrong and J. A. Watson 531 , E. H. Renni, A. J. Higgin and W. F. 
 Cooke 532 and others. 
 
 A. Werner 533 , as early as 1893, expressed his opinion that electro- 
 lytic dissociation is necessarily accompanied by the formation of a 
 compound with the solvent used. "According to the results shown 
 by our experiments," says Werner, " the existence of hydrates in 
 aqueous solution is not merely an inference from the hydrate theory ; 
 these hydrates form an essential condition of electrolytic dissociation. 
 
THE DISSOCIATION THEORY OF ARRHENIUS 267 
 
 In an aqueous solution the ions are not metallic atoms, but 
 metallic atoms combined with six water molecules, the whole forming 
 definite radicles. This shows clearly why the electrical conductivity 
 and the dissociation of a salt are so closely related to the solvent." 
 
 Abegg and Bodlander suggested that a hydration of the anions and 
 cathions occurs. The degree of hydration of the alkali-ions increases in 
 the following order : K, Na, Li, etc. Feebly dissociating solvents are 
 those with feeble affinity for ions, and vice versa. 
 
 Euler also adopted the idea of a hydration of ions taking place in 
 aqueous solutions, and attributed to nickel, copper and cobalt ions 
 the formulae : 
 
 [Ni(H 2 0) 4 ]++, [Cu(H 2 0) 4 ]++and [Co(H 2 0) 6 ]++. 
 
 An acid in aqueous solution is, according to Hantzsch, a " hydronium- 
 salt." The ions of hydrochloric acid in aqueous solution are, according 
 to him : 
 
 HC1 + H 2 = [H 2 0, H]C1 = (H 3 0)+ + C1-. 
 
 This reaction is analogous to the formation of an ammonium salt from 
 an acid and ammonia : 
 
 HC1 + NH 3 = NH 3 HQ = (NH 4 )+ + C1-. 
 
 Lowry also regards the nature of electrolytic dissociation from 
 the point of view of a hydration theory. 
 
 Tournier d'Albe touched upon the problem of hydrated ions in his 
 work on the theory of electrons and expressed the opinion that each 
 molecule draws molecules of the solvent to itself and becomes hydrated. 
 
 According to the most recent results published by Jones and his 
 associates, the lowering of the freezing point of concentrated solutions 
 shows, beyond a doubt, that hydrates exist in solution. Vaillant has 
 definitely discovered the existence of hydrates in aqueous solution by 
 means of spectrometric investigations. 
 
 R. J. Caldwell has shown that the speed of inversion of raw sugar 
 by hydrochloric acid may be increased by the presence of various 
 chlorides. To explain this phenomenon Caldwell supposes the salt to 
 be hydrated in solution, a portion of the water thereby losing some 
 of its solvent power, and thus effects a " concentrated " action on the 
 sugar. To determine the " average hydration " of a given salt it is only 
 necessary to ascertain experimentally how much water may be added 
 to the salt solution in order to reduce the speed of reaction to its 
 original amount. 
 
 H. E. Armstrong and J. A. Watson investigated the action of salts 
 on the speed of hydrolysis of methyl acetate by nitric and hydrochloric 
 acids. They found that in most cases the presence of a salt increased 
 the speed and attributed this to the hydration of the salt. 
 
 E. H. Rennie, A. J. Higgin and F. W. Cooke examined the effect of 
 various nitrates on the speed of solution of copper in nitric acid, and 
 found that the presence of sodium nitrate, and particularly lithium 
 
268 CONSEQUENCES OF THE H.P. THEORY 
 
 nitrate, caused a considerable increase in the rate of solution. Potas- 
 sium nitrate was without effect and calcium nitrate and rubidium 
 nitrate diminished the rate of solution. Beginning with the nitrate 
 possessing the greatest accelerative power the salts may be arranged 
 thus : Li, Na, K, Rb, Cs, which is the same order as Wymper found for 
 their action on the speed of inversion of cane sugar, and these authors 
 attributed it to the same cause, viz. the " concentrated action " which 
 these salts possess on account of their hydration. The same authorities 
 also conclude that the investigations mentioned form a further proof of 
 the combination of the solvent with the dissolved substance. 
 
 The experimental investigations of a number of other authorities 
 and the opinions expressed by them all point to the necessity of a 
 complete agreement between any theory of " water of crystallisation " 
 and any theory of " solution." 
 
 D. The H.P. Theory and the Constitution of Simple Acids 
 
 As the complex acids may be formed from simple ones, it must also 
 be possible to form cyclic compounds including those in which an acid 
 is not combined with other acids. A number of facts in support of 
 this application of the new theory of the simple acids may be men- 
 tioned : 
 
 1. Tammann 534 prepared the following salts of a hexa-phosphoric 
 acid : 
 
 K 2 Ag 4 (P0 3 )cH 2 0, 
 
 K 4 Ag 2 (P0 3 ) 6 , 
 
 K 2 Na 4 (P0 3 ) 6 , 
 
 K 4 Na 2 (P0 3 ) 6 , 
 
 3[K 2 Sr 2 (P0 3 ) 6 ]4H 2 0, 
 
 Li 2 (NH 4 ) 4 (P0 3 ),8H 2 0, 
 
 Li 2 H 4 (P0 3 ) 6 4H 2 0, 
 
 Li 2 Na 4 (P0 3 ) 6 6H 2 0. 
 
 And the following from a penta-phosphoric acid : 
 
 (NH 4 )K 4 (P0 3 ) 5 *6H 2 0, 
 
 (NH 4 )Na 4 (P0 3 ) 5 , 
 (NH 4 )Li 4 (P0 3 ) 5 , 
 
 (NH 4 )K 4 (P0 3 ), 
 
 The following compounds, also prepared by Tammann, are also of 
 interest, and are clearly related to a di-, penta-, hexa-phosphoric acid : 
 
 Mg,Na 4 (PO,) 18 , 
 Ca 6 Na 4 (P0 3 ) 16 , 
 Mn 6 Na 4 (P0 3 )i,. 
 
 From the theory of the constitution of complex acids formulated 
 by the authors of the present volume, it follows that the hydroxyls of 
 the hexa- or penta-radicles are partly acido- and partly baso-philic, 
 i.e. the water they contain is not all bound to the radicles with the same 
 
THE CONSTITUTION OF SIMPLE ACIDS 269 
 
 degree of force. This consequence of the theory also follows from the 
 physio-chemical investigations of the above acids by Tammann. 
 In the compounds 
 
 (a) K 2 Na 4 (P0 3 )., 
 and 
 
 (b) Na 2 Na 4 (P0 3 ), 
 
 a positive current only removes one-third of the base. 
 
 By the prolonged action of AgN0 3 on K 6 (P0 3 ) 6 , Tammann was 
 able to replace two-thirds of the base by Ag. 
 
 The behaviour of the compound (NH 4 ) 5 (P0 3 ) 5 towards sodium and 
 potassium shows that one-fifth of the base in it behaves differently 
 from the remainder. The same is shown by the molecular conduc- 
 tivity of this ammonium salt and the conductivity of other salts 
 obtained from it, such as : 
 
 (NH 4 )(NH 4 ) 4 (P0 3 ) 6 , 
 
 (NH 4 )Na 4 (P0 8 ) 6 , 
 
 (NH 4 )Li 4 (PO,) 6 . 
 
 If the absolute speeds of the ions are calculated by Kohlrausch's 
 method (by the addition of the maximum values) the following maxima 
 are obtained : 
 
 (NH 4 )(NH 4 ) 4 (P0 3 ) 6 (NH 4 )Na 4 (P0 8 ) 8 (NH 4 )Li 4 (PO s ) 5 
 A. oo = 300 A co = 230 A co = 210 
 
 The maximum values actually found are for the ammonium salt 125, 
 for the ammonium-sodium salt 96, and for the ammonium-lithium 
 salt 90. 
 
 These figures can be most easily understood by assuming that 
 one-fifth of the base passes away in the form of cathions whilst the 
 remainder, with the acid, has the function of anions. 
 
 2. The hexitic structure of phosphoric acid in simple salts is 
 shown in the following compounds, prepared by Gluhmann 535 : 
 
 2 BaO 3 Na 2 3 P 2 5 11 H 2 0, 
 2 CaO 3 Na 2 3 P 2 5 6 H 2 O, 
 2 CuO 3 Na 2 3 P 2 5 12 H 2 0, 
 2 FeO 3 Na 2 3 P 2 5 12 H 2 0, 
 2 MnO 3 Na 2 O 3 P 2 O 5 12 H 2 O, 
 2 NiO 3 Na 2 O 3 P 2 O 5 24 H 2 0, 
 2 CoO 3 Na 2 3 P 2 O 5 24 H 2 O, 
 2 MgO 3 Na 2 O 3 P 2 O 5 12 H 2 0. 
 
 In these compounds two-fifths of the OH-groups clearly behave in 
 a manner different from the rest. Analogous compounds of niobic and 
 tantalic acid with a small proportion of base have been obtained by 
 Marignac 536 : 
 
 4 H 2 4 K 2 O 3 Nb 2 5 12 H 2 0, 
 
 Na 2 0-3K 2 -3Nb 2 5 * 9 H 2 0, 
 
 K 2 O -3Nb 2 5 - 5H 2 0, 
 
 4 K 2 3 Ta 2 5 16 H 2 0, 
 
270 CONSEQUENCES OF THE H.P. THEORY 
 
 4 
 
 Na 2 O 
 
 3Ta 
 
 2 5 24 
 
 H 2 0, 
 
 4 
 
 Ag 2 
 
 3 
 
 Ta 
 
 2 5 
 
 3 
 
 H 
 
 A 
 
 4 
 
 BaO 
 
 3 
 
 Ta 
 
 2 5 - 
 
 6 
 
 H 
 
 .0, 
 
 4 
 
 MgO 
 
 3 
 
 Ta 
 
 2 5 
 
 9 
 
 H 
 
 .0, 
 
 4 
 
 HgO 
 
 3 
 
 Ta 
 
 2 5 
 
 5 
 
 H 
 
 ,0. 
 
 3. The composition of the following compounds prepared by 
 Hallopeau 537 shows the presence of hexites and pentites in some simple 
 salts : 
 
 5 K 2 5 (NH 4 ) 2 24 W0 3 22 H 2 0, 
 
 3 (NH 4 ) 2 3 Na 2 O 16 W0 3 22 H 2 0, 
 
 4 (NH 4 ) 2 Na 2 12 W0 3 14 H 2 O, 
 
 2 Na 2 3 (NH 4 ) 2 O 12 W0 3 15 H 2 0, 
 
 3 (NH 4 ) 2 3 Na 2 12 W0 3 22 H 2 0, 
 
 5K 2 -^WO.-llH.O, 
 Na 2 10 W0 3 21 H 2 0, etc. 
 
 4. A number of oxygen-free salts have properties confirmatory of 
 a hexitic or pentitic structure. Thus, the formulae CsCl 4 I, RbClJ, 
 KC1 4 I, LiCl 4 I, etc., indicate the presence of pentite compounds. The 
 formulae KI 3 , CsBr 3 , CsClBr 2 , RbCl 2 I, etc., should probably be doubled 
 and are then characteristic of hexites. Bredig 538 has discovered that 
 in the compound KI 3 or, more correctly, K 2 I 6 the group I 6 behaves 
 like an independent ion, and is reminiscent of Tammann's investiga- 
 tions on the hexa- and penta-acids. 
 
 It is thus possible that free halogen acids, H 2 X 6 (X=C1, Br, I), 
 may exist. The great solubility of chlorine in highly concentrated 
 solutions of HC1 led Berthelot 539 to the conclusion that, under such 
 conditions, the compound HC1 3 or H 2 C1 6 is formed in a manner 
 analogous to the production of K 2 I 6 by the solution of iodine in 
 potassium oxide. That a chemical compound is formed in this manner 
 has been conclusively shown by the work of Le Blanc and Noyes. 
 
 . The H.P. Theory and the Carbon Compounds 
 
 It may appear to be somewhat late to attempt to apply the H.P. 
 theory to the carbon compounds in general, although the classical 
 researches of Berzelius, Liebig, Kolbe and others 540 were made by 
 men who sought for laws applicable to organic chemistry in those 
 which applied to inorganic compounds. Nevertheless, a few facts 
 may be pointed out which indicate that such an application of the 
 H.P. theory is not without value. 
 
 Just as the aluminosilicates are converted into kaolin and may be 
 produced from kaolin, so may the carbon compounds be converted 
 into carbonic acid or may be formed from it. For instance, it is well 
 known that plants take carbonic acid from the air and convert it into 
 oxalic acid and the various kinds of sugar ; from these the animal 
 fats and other complex organic compounds are formed. Oxalic acid 
 is also a common product of the oxidation of both simple and complex 
 
CARBON COMPOUNDS 271 
 
 organic bodies. Thus, it is produced in varying amounts by suitably 
 treating various carbo-hydrates, fatty acids, oils and glycerin : all the 
 complex carbon compounds which can be oxidised by nitric acid. 
 
 Oxalic acid, like all inorganic acids, forms, according to Rosen- 
 heim 541 , complex acids with other inorganic acids, hexites or pen- 
 tites being produced under suitable conditions. A hexitic structure 
 of oxalic acid is also found in a series of other compounds as in the 
 cobalt oxalates mentioned on p. 256. 
 
 It is also important to note that carbonic acid can also form 
 complexes with phosphoric acid, these complexes playing a large part 
 in the formation of the bony framework of the animal organisms. 
 According to Hoppe-Seyler (vide Scheffs "Handbuch d. Zahnheilk." 
 1909, 1, 362) the compound 10 CaO C0 2 3 P 2 O is contained in the 
 dentine and enamel of natural teeth. To this basic carbo-phosphoric 
 calcium salt the following structural formula may be assigned : 
 
 Ca 3 Ca 3 
 
 P 
 
 v , 
 
 II 
 
 Ca 3 
 
 NX 
 
 Ca 3 
 
 Thus, the chief constituent of dentine and of natural dental enamel 
 has a chemical constitution similar to the ^-complexes (p. 76), which 
 are, as a rule, more stable than the a-complexes. This view of the 
 structure of dentine and enamel makes it easier to understand the far 
 higher resistance of the latter to acids than is possessed by calcium 
 phosphate, and explains the strong combination of the carbonic acid 
 and lime in the dentine. Without some such structural formula these 
 properties are extremely puzzling. 
 
 When these facts, together with the figure 6 for the carbon 
 atoms in the general formulae for the sugars n(C 6 H 12 O 6 ) (n- 1)H 2 O 
 and the genetic relationship between oxalic acid and the sugars are 
 considered, the thought naturally arises that the transformation of 
 oxalic acid into sugar by plants may possibly be due to both oxalic acid 
 and the sugars possessing cyclic structures. In an analogous manner 
 it is possible to explain the constitution of the sugar-like product 
 obtained by Buttlerow 542 from formaldehyde and calcium hydroxide. 
 This, according to Loew 543 , is a single compound with the formula 
 C 6 H 12 O 6 ; E. Fischer and F. Passmore 544 regard it as a mixture of 
 various aldehydic or ketonic alcohols from which a-acrose may, in 
 all cases, be separated. This a-acrose is, according to E. Fischer, 
 closely related to the natural sugars. 
 
 A possible value of the H.P. theory may lie in its application to 
 the formation of sugars from carbonic acid, as the assimilation of 
 carbonic acid by plants is the chief reason for their existence as living 
 organisms. The smallest observation which will assist in revealing the 
 
272 CONSEQUENCES OF THE H.P. THEORY 
 
 secret methods by which plants effect this transformation is therefore 
 of great importance. 
 
 Even if the existence of a large number of hexites and pentites in 
 some carbon compounds may be considered doubtful, yet their presence 
 in certain carbon compounds is highly probable. The latter, which are 
 termed aromatic compounds, are well known to be different from those 
 compounds which are in the form of open chains. 
 
 Kekule 545 was the first to regard the aromatic compounds as 
 derivatives of benzene. He conceived benzene as a closed ring of 
 carbon atoms, the structural formula he suggested being the well-known 
 hexagon which has been used so largely in the study of carbon com- 
 pounds. This was the first hexite to appear in chemical literature. 
 
 Not only the constitution of the direct derivatives of benzene, but 
 those of other substances more distantly related, such as napthaline, 
 anthracene, phenanthrene, fluorescine and many other hydrocarbons, 
 together with innumerable and important derivatives, have been 
 studied with most useful results by means of Kekule's theory and a 
 greater knowledge of them has thereby been obtained. 
 
 The characteristics of the organic (carbon) pentites were first 
 pointed out by V. Meyer 546 in his remarkable researches on thiophenes. 
 
 It is unnecessary to point out the great value of these beginnings 
 of the H.P. theory in the development of organic chemistry and 
 for industrial chemistry generally, for this is already well known. It 
 is sufficient to state that Kekule's benzene theory was the scientific 
 foundation on which the methods of study and production of the most 
 wonderful colours, valuable remedies, deadly poisons, pleasant scents, 
 important anaesthetics, etc., have been based. 
 
 Hexite and Pentites devoid of oxygen 
 
 The H.P. theory indicates that carbon and silicon can form hexa- 
 and penta-radicles which contain no oxygen. In this connection the 
 researches of Manchot and Kieser 722 are of interest. These investiga- 
 tors have shown experimentally the existence of ring-compounds of 
 silicon with chromium and aluminium, containing 6 Si-atoms. They 
 consider that the behaviour of the compound Cr 2 AlSi 3 towards HF 
 and the consequent evolution of hydrogen shows that the molecular 
 weight of this substance must be at least doubled and that the 6 Si- 
 atoms of the compound (Cr 2 AlSi 3 ) 2 are unquestionably united to each 
 other. These investigators are thus the first to establish beyond all 
 doubt the existence of hexa-silicon ring-compounds, and their work 
 is an interesting confirmation of the H.P. theory. 
 
 It is also interesting to observe that in those chromo-hexites which 
 are devoid of oxygen, one-third of the atoms behave differently from 
 the others (pp. 269 and 292). 
 
 The structure of these oxygen-free compounds may be made clear 
 by means of the following structural formula in which the Si-atoms are 
 
THE ARCHID HYPOTHESIS 273 
 
 directly united to other Si-atoms and chromium atoms with other 
 chromium atoms, the Al-atoms being indicated by dots : 
 
 A/\/\ /\/\/\/\ 
 
 SilCr Or I Si | or Cr Si Si | Cr | 
 
 \/\/\/\/ \/\/\/\/ 
 
 
 
 Al 4 Cr 8 Si 12 Al 4 Cr 8 Si 12 
 
 According to the H.P. theory, the molecular weight of this com- 
 pound is at least twice as great as Manchot and Kieser concluded from 
 their experiments. 
 
 When reviewing the German edition of the present work, Manchot 755 
 declared that the H.P. theory could not be extended beyond the chemis- 
 try of the silicates, but apparently did not have the above- 
 mentioned experiments in his mind when he wrote : " That the com- 
 plete neglect of this portion of the chemistry of silicon may lead to 
 very erroneous conclusions in regard to the silicates, the reviewer 756 
 has shown on a previous occasion." 
 
 Manchot here refers to his criticism that Pukall's structural 
 formula for kaolin, which has a double bond between the two silicon 
 atoms (see page 111), is not in accordance with the behaviour of kaolin 
 towards hydrofluoric acid : substances with united silicon atoms must 
 evolve hydrogen when treated with HF, whereas kaolin does not. 
 
 It is very surprising that this critic instead of considering whether 
 the H.P. theory of the constitution of aluminosilicates might not throw 
 light on his own investigations, should accuse the authors of "a 
 negligence which may lead to very erroneous conclusions." It appears 
 that he has quite overlooked the support which his own investigations 
 lend to the very theory which he condemns ! 
 
 F. The H.P. Theory and the Constitution of the Atoms 
 The Archid Hypothesis. 
 
 In recent years an ever-increasing number of people have main- 
 tained that the atoms do not completely fill the space they occupy, but 
 that they possess " parts." This view has long been held by those 
 engaged in spectrolytic investigations, many of whom hold that the 
 atoms slide over each other when emitting light ; some go so far as to 
 say that some spectrum phenomena indicate a decomposition of the 
 atoms. Some physicists even speak of the ' structure ' of the atoms 547 
 and consider that it is by no means impossible to obtain further know- 
 ledge as to the internal structure of atoms, the special arrangement of 
 their parts and the variations in the forces of these parts. 
 
 Those who are interested in the ionisation theory also speak of the 
 " constituents " of the atoms, and, as the result of electrical investiga- 
 tions of gases, they consider that the negative electrons are really 
 
274 CONSEQUENCES OF THE H.P. THEORY 
 
 constituents of what chemists have hitherto regarded as atoms and 
 that these can be separated by electrical dissociation or ionisation with 
 expenditure of different amounts of energy. 
 
 The hypothesis that the atoms contain " parts " has been particu- 
 larly confirmed by the radio-activity of some elements discovered by 
 H. Becquerel. According to Curie 548 , Becquerel 549 , Rutherford and 
 Soddy 550 , Re 551 , Stark 552 and others, radio-activity is most satis- 
 factorily explained by assuming atomic transmutations, i.e. the 
 conversion of one atom into another or into several others. 
 
 The most recent investigations with regard to the chemical nature 
 of the elementary atoms thus make the old hypothesis of the elements 
 (which is the basis of alchemy) very probable. Moreover, it can 
 scarcely be denied that Nature has produced her materials in accord- 
 ance with unitary laws. It is, therefore, of interest to endeavour to 
 discover the mysterious formation of the atoms from the elements. 
 
 A Hypothesis of the Constitution of the Atoms 
 
 The smallest particles of an element may conveniently be termed 
 archids (apx*i) ; the atoms may then be regarded as formed of archids 
 in a manner analogous to that in which molecules are produced by the 
 combination of a number of atoms. From five or six archid groups, 
 archid-pentites and archid-hexites are produced respectively. Two or 
 more archid-hexites or pentites may also combine directly or by the aid 
 of other archids. In this manner a-, ft- and y- " archid-complexes " 
 are formed in a manner similar to the atomic complexes. 
 
 The archidic radicles, like the atomic compounds, have archidic 
 side-chains, and these limit the reactability of the archid compounds, 
 viz. the atoms. 
 
 The combination of the archids occurs in accordance with archidic 
 valencies, as in the formation of archid-hexite or -pentite, or of 
 archidic radicles (hexite and pentite) and the addition and formation 
 of archids as side-chains. These archidic valencies differ from the 
 atomic valencies inasmuch as they cannot be determined by any 
 existing methods. By the addition of long archid chains to the radicles 
 or by the combination of archidic radicles with one another by means 
 of archids with the simultaneous addition of long archidic chains, the 
 archidic valencies are weakened and some must be set free, though 
 these weak or free valencies cannot, at present, be definitely proved to 
 exist. 
 
 The liberation of archidic valencies is usually accompanied by the 
 evolution of electrical energy (radio-activity) and, after hundreds of 
 years, results in a decomposition of the atoms or a transformation of 
 them into one or more other atoms. 
 
 If the archids are represented by dots, the structure of the atoms 
 may be represented, according to the new hypothesis, as follows : 
 
THE CONSTITUTION OF THE ATOMS 275 
 
 mm mm 
 
 L ' 11 
 
 A. m_._./'\._._m ./K./i\. 
 
 Ar A, Ar Ar Ar 
 
 | A, | 
 
 m 
 A. B. C. 
 
 m m m in m 
 
 II III 
 
 m ____ . ---- m ,. 
 
 I'ArVAr 2 I 2 ArV Ar Ar 
 
 I I 
 
 m m 
 
 E-o 
 r . 
 
 m m 
 
 I I 
 
 I I 
 
 / *\ ,/* 
 Ar | | Ar 
 \ / \ 
 \/ \/ 
 
 G. 
 
 m 
 
 I 
 
 Ar Ar Ar 
 
 I I I 
 
 
 
 .A\.A\.A\. 
 
 |3 5|5 A 3^5 . 3? 
 
 !i ele ,j, 3. ___ m ', etc. etc. 
 
 
 
 I 
 m 
 
 H. 
 
 The lines between the points indicate the archid valencies ; the 
 symbols m, m/ and m /x on the side-chains show the atomic valencies. 
 Thus, the atom A is monovalent, B is divalent and E is octovalent. 
 
 The Consequences of the Archid Hypothesis and the Facts 
 (a) The Valencies of the Atoms. 
 
 According to the structural formulae, the valencies of each of the 
 atoms B, C and D must be of a similar kind, those of the atoms E, F, 
 G and H, on the contrary, must be different. In atoms with side-chains 
 
276 CONSEQUENCES OF THE H.P. THEORY 
 
 like E the valencies m must have a nature different from the valencies 
 m' ; in atoms with side-chains like F there must be three different 
 kinds of valencies, viz. m, m' and m". 
 
 If, in atoms of the type F, the valency m is closed by treatment 
 at a high temperature, m' at a medium temperature, and m" only at a 
 lower temperature, these atoms would appear to have " variable " 
 valencies and to be mono-, tri- or penta-valent. To the various positions 
 of the side-chains in atoms of the F type may be due the possession of 
 electro-positive properties by the valencies m and m' and of electro- 
 negative properties by the m" valencies or vice versa. Atoms with 
 such side-chains can only unite with a definite number of electro- 
 positive or electro-negative atoms or atomic groups. 
 
 From the structural formula F it may also be seen that, if the 
 valencies m', m, m' and m" are saturated and that one m" side-chain 
 is unsaturated, the atom will be capable of transformation into the tri- or 
 penta-valent form, according to the power of the unsaturated valency. 
 
 If the valencies m', m, m' of the atom F are strong (i.e. if they are 
 only affected by treatment at a high temperature) whilst the valencies 
 m", m" are weak (i.e. only stable at low temperatures) the atom may be 
 said to have three major valencies and two minor ones. 
 
 Atoms with side-chains such as H, in which part of the valency is 
 only stable at low temperatures, may, in the light of this explanation, 
 possess four minor valencies and two major ones. 
 
 The minor valencies cease to exist at other than low temperatures, 
 in concentrated solutions and in substances in the solid state, so that 
 they are usually overlooked. The authors have already (p. 228) stated 
 that, according to Knoblauch and Nernst, spectrum analysis affords a 
 very delicate means of ascertaining the constancy or otherwise of the 
 constitution of a substance, as any change in the absorption spectrum 
 of a dissolved substance indicates a change in the constitution of the 
 latter. 
 
 Recently Hantzsch 553 has shown, as the result of a series of experi- 
 mental investigations, that all changes hi the spectrum effected by 
 dilution are due to chemical causes and that each change in the spectrum 
 indicates the progress of a chemical reaction. The delicacy of spectrum 
 analysis is so great that the minor valencies will probably be discovered 
 by its aid in many cases where they are, at present, unknown. 
 
 If, in atoms with four chief and two minor valencies (formula H), 
 only two or three of the major valencies m' are saturated, such atoms 
 will have the power of saturating other m' major valencies, whence 
 atoms in which three major valencies are saturated must be more 
 active in reaction than those in which only two major valencies are 
 saturated. The former must be better able to pass into the tetravalent 
 state than the latter, as the major valencies m' are not symmetrically 
 saturated. 
 
 These consequences of the archid hypothesis are in agreement with 
 the known facts and experimental results. 
 
THE ARCHID HYPOTHESIS 277 
 
 In addition to atoms of constant valency, such as those of hydrogen, 
 the alkali metals, alkaline earth metals, etc., there are atoms with 
 variable valency such as those of N, As, Sb, P, Fe, Mn, etc. 
 
 For instance, in nitrogen atoms the side-chains are so arranged 
 that the five resultant valencies are of unequal strength ; three are 
 stronger than the rest. The compound NH 4 C1, for example, is unstable 
 at high temperatures and is decomposed in accordance with this 
 difference of valency-strength into NH 3 +HC1. 
 
 The reasons for the conclusions drawn from the structural formulae 
 just described are also confirmed by a study of nitrogen, as the atomic 
 valencies of one and the same atom have different properties, some 
 being electro-positive and others electro-negative. J. v. Braun 554 has 
 pointed out this property of nitrogen and, according to him, a penta- 
 valent nitrogen compound with several atoms or atomic groups is only 
 formed when the five radicles necessary are not of one and the same 
 chemical nature, but only when some possess electro-negative properties 
 (like atoms and atomic groups which can act like anions of acid, as 
 Cr, Br', I' CN', NO 2 ') and others have electro-positive properties (as 
 hydrogen, hydrocarbon residues and amido groups). 
 
 The correctness of this hypothesis is shown by the failure of all 
 attempts to produce compounds in which the above condition is not 
 satisfied, such as NC1 5 , N(C 2 H 5 ) 5 . In this connection a recently 
 discovered group of organic substances the porphyrexides is interest- 
 ing. These are tetravalent derivatives of nitrogen in which the nitrogen 
 shows a strong tendency to combine with hydrogen, and to pass into 
 the trivalent state. This tendency must necessarily be due to a 
 definite structure of the nitrogen atom. 
 
 Other atoms with variable valencies must also show an analogous 
 behaviour. Recently, carbon has been placed among those atoms 
 having a variable valency. The side-chains of some carbon atoms may 
 be regarded as occupying positions represented by formulae E (octo* 
 valent) and H (hexavalent) the carbon being then considered as 
 possessing four major and two minor valencies. 
 
 If only two or three of the four side-chains are saturated, un- 
 saturated compounds must be formed, as already explained, whence 
 those with three saturated valencies must have a stronger tendency 
 to be transformed into the tetravalent state than those with two 
 valencies. Gomberg 555 has obtained compounds with trivalent carbon, 
 and Nef 556 has prepared others with divalent carbon. In compounds 
 in which only two valencies are in use, the carbon shows a much less 
 tendency to pass into the trivalent state than in those in which three 
 carbon valencies are saturated. Thus, whilst triphenylmethyl 
 C(C 6 H5) 3 , which was first prepared by Gomberg, can only be isolated 
 with difficulty on account of its enormous power of reaction, compounds 
 containing divalent carbon may readily be produced. These latter are 
 powerful reagents, but are far less readily converted into compounds 
 in which the carbon has four valencies. 
 
278 CONSEQUENCES OF THE H.P. THEORY 
 
 The view that carbon may have more than four valencies does not 
 agree with van't Hoff's hypothesis that the affinities of carbon act as 
 though they were the lines connecting the centre of a regular tetra- 
 hedron with the four corners. According to this hypothesis, the 
 carbon atom has a maximum of four valencies and no minor valencies. 
 This is, however, in direct opposition to the proved existence of minor 
 valencies apart from the four major valencies. 
 
 The physical isomeric properties of the " asymmetric " carbon 
 atom (i.e. the one to which four different atoms or atomic groups are 
 attached), such as optical isomerism, can be explained by means of the 
 new theory (p. 312 et sqq.). 
 
 Schafer's studies in connection with spectrum analysis 557 have 
 provided new data respecting the minor valencies of carbon and some 
 other atoms. Thus, striking colour-changes frequently indicate the 
 presence of minor valencies, but they are best shown by certain 
 organo-metallic compounds, particularly the complex salts investigated 
 by Ley. The fact that many compounds of the heavy metals absorb 
 normally whilst others vary greatly in this respect shows, according to 
 Ley, that the metal in the latter case must possess minor valencies as 
 well as the known major ones. The metal compounds of the amio acids 
 and ketone acid-esters are interesting in this connection. 
 
 Schafer thinks that a further proof of the existence of minor valen- 
 cies is to be found in the pantochromism discovered by Hantzsch 558 , 
 i.e. the power of certain colourless salts or faintly tinted acids to com- 
 bine with various colourless metals and form all kinds of colours. 
 
 Similarly, Schafer considers that the presence of minor valencies 
 is the cause of chromotropy, whereby many coloured compounds 
 (chiefly yellow and red) may be produced from indifferent substances 
 such as nitraniline, quinine and salts of polynitro-compounds. 
 
 The fact that water, alcohol, organic acids and other oxygen 
 compounds have a greater molecular weight at lower temperatures 
 than when in the gaseous state may also be best explained by the 
 presence of minor valencies in the oxygen atoms. 
 
 A number of facts which seem to show that oxygen may have a 
 higher valency than 2 have already been mentioned on page 259. 
 Quite recently, observations have been made in connection with some 
 organic compounds which appear to indicate the existence of higher 
 valencies in oxygen. The most probable explanation is the presence of 
 minor or weaker valencies of the oxygen. Amongst others who have 
 written about the higher valency of oxygen more particularly about 
 its " tetravalency " are Collie and Tickle 559 , Baeyer and Villiger 500 , 
 Werner 561 , Kehrmann 562 , Gomberg 563 , Walden 564 , Walker 565 , Sackur 566 , 
 and Cohen 567 . 
 
 (b) Homologous Series of Atoms. 
 
 The monovalent pentites with the structural formula A (p. 275), 
 the divalent archid-hexite radicle B, etc., can combine with n new 
 
THE ARCHID HYPOTHESIS 279 
 
 * 
 
 archid-hexites or pentites, or m archid-hexites and m' archid-pentites 
 analogously to the atomic compounds, whereby a whole series of mono- 
 valent or divalent atoms are produced, as these new atoms only 
 contain one or two side-chains. In this manner homologous series * 
 may be formed which bear some resemblance to the homologous 
 series in organic chemistry. 
 
 As there is a limit to the possible number of archid-hexites and 
 -pentites, the weight of the atoms (atomic weight) of each homologous 
 series must approach a definite limit. 
 
 Such homologous series of atoms are actually known, e.g. the 
 halogen series, the alkali metals, the alkaline earth metals, etc. If 
 these are arranged according to their atomic weights, the following 
 series are obtained : 
 
 F = 18.90 Cl = 35.18 Br = 79.36 I = 125.90 
 Na = 22.88 K = 38.68 Rb = 84.80 Cs = 132.00 
 Mg = 24.18 Ca = 39.80 Sr = 86.94 Ba = 136.40 
 
 The differences between successive members of each series are : 
 
 16.28 44.18 46.54 
 
 15.80 46.12 47.20 
 
 15.62 47.14 49.46 
 
 The difference between consecutive atomic weights is constant, 
 like that between members of other homologous series ; in this case it 
 is either 16 or 16x3. 
 
 (c) The Causes of Radio-activity and the work of the Alchemists. 
 
 The radio-activity of some elements with high atomic weights, 
 such as radium, uranium and thorium, is readily explicable in the light 
 of the new hypotheses regarding the structure of the atoms. Assum- 
 ing that these atoms have a structure analogous to that of the H- 
 atoms, previously mentioned, i.e. that they are definitely y-archid- 
 complexes, their radio-activity may be readily explained as being due 
 to their peculiar constitution. The property these atoms possess of 
 radiating electrical energy is due to their structure. 
 
 From this it follows that only atoms with high atomic weights can 
 be radio-active. This is actually the case. 
 
 The impossibility of increasing the radio-activity of the archid 
 combination by existing methods of treatment indicates that enormous 
 amounts of energy must be stored up in these compounds. Soddy 568 
 has published some interesting information on this point in a lecture 
 
 * When the members of a series of compounds are similar in constitution and 
 chemical properties, but with the physical properties undergoing a gradual and regular 
 variation as the molecular weight increases, the series is termed homologous, and the 
 several members are said to be homologues of one another. There are many homo- 
 logous series, especially among organic compounds. A. B. S. 
 
280 CONSEQUENCES OF THE H.P. THEORY 
 
 on " The Present State of Radio- Activity," in which the following 
 words are particularly important : 
 
 " Radium evolves for every gram weight a hundred calories of heat 
 per hour, and since in a year only one thousandth part changes, it 
 follows that the total energy evolved in the complete disintegration 
 of a gram of radium must be enormous. It is roughly about a million 
 times that given out by a similar weight of coal burning. If the thirty 
 milligrams of radium exhibited were all to disintegrate suddenly, the 
 effect produced would equal the explosion of about a hundredweight of 
 dynamite. Uranium in its complete disintegration produced radium, 
 and hence the amount of energy evolved must be as much greater than 
 in the case of radium as the whole is greater than the part. If we could 
 artificially accelerate the rate at which radium or uranium disinte- 
 grates, we should on the one hand have achieved transmutation of a 
 heavier element into lighter ones, and on the other hand have rendered 
 available for use a new supply of energy a million times more powerful 
 than any source at present known. The argument I have already 
 stated shows that if we succeed in artificially transmuting uranium 
 there is little doubt that the same means would be applicable to the 
 other elements. Hence the supply of energy would be inexhaustible. 
 But let us see what the old attempt of the alchemist involved. When 
 he was concerned with building up a heavy element like gold from a 
 lighter like silver, he was attempting a most profitless task. Frankly, 
 even if it could be done, it would be impossible for it to pay. The 
 energy absorbed would cost far more than the value of the gold 
 produced. The energy of some hundreds of tons of coal would have to 
 be put into an ounce of silver to turn it into gold. Energy possesses a 
 market value no less than gold, as all who have to pay electricity bills 
 realise. So we may dismiss this case. But where he was attempting to 
 produce gold out of a heavier element like lead, the enterprise, if it 
 had succeeded at all, would have been successful beyond the dreams 
 of avarice. Not only would he have got the gold from lead, but also 
 a store of energy would have been released in the change of far more 
 intrinsic and commercial value than the gold. Not suspecting this, 
 perhaps it was providential for him that he failed, or he might have 
 realised the fate of the mythical chemist who discovered a new explo- 
 sive the secret of which never transpired because the chemist and his 
 laboratory disappeared simultaneously with the discovery. Actually, the 
 alchemist in trying with his puny appliances to transmute lead into 
 gold was attempting a task no less hopeless than that of a man attempt- 
 ing to destroy a battleship with a percussion cap. Even if sufficiently 
 potent means are ever to hand to effect the transmutation of lead 
 into gold, it is important to bear in mind that the gold would be a 
 mere by-product, the energy rendered available would be the real 
 gold-mine." 
 
THE ARCHID HYPOTHESIS 281 
 
 (d) Radio-activity as a Constitutional Property of the Atoms. 
 
 As radio-activity is due, according to the new hypothesis, to the 
 structure of the atoms, it must also be quite independent of the 
 chemical combination of the radio-active atoms with atoms of other 
 kinds, as well as independent of the physical condition of the radio- 
 active material, and must be impossible to prepare radio-active atoms 
 artificially by either synthetical or analytical methods. The facts are 
 fully in agreement with this consequence of the theory. 
 
 (e) The Transmutation of the Atoms. 
 
 From the authors' hypothesis it follows that it must be possible 
 to convert one element A into another element B or to decompose one 
 " element " into others. 
 
 This consequence of the theory has been proved by Sir William 
 Ramsay's discovery that helium can be produced from radium and 
 radium from uranium. 
 
 Section IV 
 
 The Extension of the H.P. Theory into a Stereo-chemical Theory, 
 and the Combination of the latter with the Modern Theory of 
 the Structure of Crystals 
 
 (a) Critical Examination of Existing Stereo-chemical Theories 
 
 "VTEITHER the H.P. theory in the form in which it is presented on 
 JJi pages 30-38 nor any existing theories dealing with structural 
 chemistry can be regarded as satisfactory, as they do not take into 
 account the fact that the atoms are divisible.* 
 
 The weakness of existing theories of structural chemistry has long 
 been known and van't Hoff 569 was the first to suggest the importance of 
 representing molecules by spatial diagrams. 
 
 Le Bel 570 , quite independently, published a hypothesis concerning 
 the spatial structure of atoms, but it received only scant attention at 
 the time ; those who took the most interest in it were the very men who 
 endeavoured to disprove it experimentally. 
 
 J. Wislicenus 571 made both the above hypotheses the basis of a 
 new series of experimental investigations. 
 
 This theory of spatial structure, which also deals with asymmetric 
 
 * Although the word * ' atom ' ' really means " indivisible ' ' its present use in chemistry 
 may be conveniently retained, the word " archid " (p. 274) being used to indicate 
 the smaller constituents. A. B. S. 
 
282 EXISTING STEREO-CHEMICAL THEORIES 
 
 carbon atoms, has been supported by numerous and important 
 results. It is also a noteworthy fact that all optically active organic 
 substances, so far as their constitution is known, contain one or more 
 asymmetric carbon atoms. 
 
 Similar speculations have proved very fruitful in the investigations 
 on the sugars carried out by E. Fischer 572 . 
 
 The work of Ad. Baeyer 573 on the isomerism of the hydrated 
 phthallic acids also deserves special attention in this connection. 
 
 In addition to these theories various cases of isomerism of the 
 nitrogen compounds have been examined in connection with their 
 spatial relationships. The investigations of Werner and Hantzsch 574 , 
 Goldschmidt 575 and others are important in this respect. 
 
 E. v. Meyer 576 considers that the deductions from observations 
 have been pushed as far as or even farther than is strictly legitimate. 
 As he rightly remarks, 577 the greatest disadvantage of the existing 
 stereo-chemical theories * is that they are only applicable to special 
 cases and are not on a sufficiently broad basis. They form a convenient 
 means of explaining a number of cases of isomerism, but cannot be 
 applied to a general stereo-chemistry in the true sense of the words, to 
 show the relationship between crystalline form and chemical com- 
 position, or to explain the various optical, thermal, electrical and other 
 physical properties of crystals. These latter have been the subject of 
 investigations by a number of mineralogists, including Schrauf 578 , 
 Fock 579 , Becke 580 and others. 
 
 Schrauf considers that the atoms have definite axial positions in the 
 molecules and that these form the basis of crystalline form. Schrauf 's 
 suggestions have not proved very fruitful and, according to Arzruni 581 , 
 who has criticised them, the principles and methods adopted by 
 Schrauf are erroneous for this purpose. 
 
 Fock sought for a relationship between crystalline form and 
 chemical composition in a combination of the results of modern stereo- 
 chemistry and general crystallography. According to him, it is a 
 positive fact that the affinities of the atoms do not merely have a 
 definite value, but operate in a definite direction. " Crystallography 
 teaches that the existence of a crystal is due to its general properties 
 varying with the direction. 
 
 " The conception of direction is of different significance in the 
 formation of crystals and in the chaining of the atoms, and leads to 
 the thought that simple relationships may exist between the directions 
 of the crystals." 
 
 P. Groth 582 states : " Crystals are usually characterised in their 
 physical relationship by their being anisotropic, i.e. that none of their 
 properties vary in intensity with the direction of the crystal in 
 accordance with definite laws." 
 
 The simplest and most natural relationship which may be ascer- 
 
 * For further information on stereo -chemistry see No. 577 in Appendix. 
 
FOCK'S AND BECKE'S THEORIES 283 
 
 tained from Fock's work is that the directions of the affinities in a 
 " crystal molecule " reach the same symmetry as that of the crystal 
 itself. 
 
 By " crystal molecule " Fock understands one of the molecules in 
 the crystal, which produces an aggregate from the chemical molecules. 
 The difference between a chemical molecule which may be in the 
 form of a gas or solution and a crystal molecule which is in a solid 
 state is shown, according to this writer, by the following facts : 
 
 1 . Fluid or dissolved substances are chemically active ; crystalline 
 substances are never so. 
 
 2. Bases, acids and salts in a fluid state are electrolytes, but lose 
 this property on crystallisation. 
 
 3. During crystallisation many substances take up " water of 
 crystallisation." 
 
 4. Some crystals are optically active, but this property seldom 
 remains when they are dissolved. 
 
 If the existence of large, independent atomic complexes in the 
 crystalline state crystal molecules is assumed, the foregoing relation- 
 ships are, according to Fock, capable of a simple explanation. 
 
 As Fock, in his stereo- chemical theory, knew of no plausible 
 hypothesis by means of which the minimum molecular weight in the 
 solid state could be explained, he could not bring his ideas correct 
 as they are to a proper conclusion, and his stereo theory has therefore 
 proved to be no more fruitful than that of Schrauf . 
 
 Whether a polymerisation of gas-molecules occurs when a gas passes 
 into the fluid state, depends on the number of chemical molecules in a 
 single crystal molecule. P. Groth 583 distinguishes between chemical 
 and crystal molecules and, according to him, there is a number of 
 facts which indicate that a crystal molecule is composed of a smaller or 
 larger number of chemical molecules. Crystals thus correspond to the 
 polymerised state as compared with the gaseous condition of single 
 chemical molecules. Groth calls attention to Voigt's experiments on 
 the elasticity of rock-salt, according to which the molecules of NaCl 
 have a slightly different action in different directions a behaviour 
 which is incompatible with the view that the crystal molecule of rock- 
 salt consists of one atom of chlorine and one atom of sodium. 
 
 Other writers, as S. Hunt, consider that calcite and quartz are 
 aggregates consisting of 584CaC0 3 and 948Si0 2 respectively. A. E. 
 Tutton considers that the molecular weight of the smallest crystals 
 (crystal molecules) is either identical with that of the chemical molecule 
 or that the crystal molecule does not consist of more than 1 to 5 
 chemical molecules. M. Bullouin concludes that crystal molecules 
 may contain 4 to 5 chemical molecules. M. Herz 757 is of the opinion 
 that the available experimental evidence is in favour of the existence 
 of substances with the same molecular weights in the solid as in the 
 gaseous state and of others which are polymerised. 
 
 Many attempts have been made to determine the molecular weights 
 
284 EXISTING STEREO-CHEMICAL THEORIES 
 
 of substances in the solid state by J. L. Vogt 758 , Doelter and Vucnik 759 . 
 All these endeavoured to determine the molecular weight of fused 
 silicates by the aid of van't Hoff's formula : 
 
 m 0.0198 T* 
 
 In this formula m represents the total number of grammes of silicate 
 dissolved in 100 g. of the solvent, M the molecular weight of the silicate, 
 T the absolute temperature, q the latent heat of fusion for 1 g. of the 
 solvent and t the depression of the melting point. This method still 
 leaves undetermined the question as to whether the crystal molecule 
 has the same molecular weight as the substance in a fused or dissolved 
 state. 
 
 Vogt sought to determine the molecular weights of diopsite, 
 olivine and anorthite in this manner and concluded that they con- 
 formed to the following formulae : 
 
 CaO MgO 2 SiO 2 (Diopsite) 
 
 2 MgO - SiO, (Olivine) 
 
 CaO Al a O 3 2 SiO, (Anorthite) ; 
 
 in other words, that there is no aggregation of molecules in these 
 substances. These determinations of molecular weights have been 
 determined in the same manner by Doelter and M. Vucnik 759 , but 
 these investigators reached entirely different conclusions and were of 
 the opinion that the application of the van't Hoff formula to fused 
 silicates is not free from objection, on account of the few determinations 
 of q which have been made. The determinations of T are only reliable 
 between 20 and 30. It is not, therefore, surprising that Doelter and 
 Vucnik found that the results obtained by this method disagreed with 
 the formulae in eight cases out of nine. 
 
 Doelter has not expressed any doubt as to the solid silicates being 
 polymerised compounds, and he has, indeed, pointed out that if the 
 van't Hoff formula is retained the results obtained from it agree much 
 more closely with multiple than with single formulae. According 
 to Doelter, an extensive polymerisation occurs when aluminous 
 silicates pass into the solid state, as is shown by the great heat of 
 crystallisation. 
 
 Van't Hoff 761 has expressed the opinion that the solid state is not 
 characterised by the formation of a complex molecular structure, but 
 that in solid solutions the facts appear to show that the molecules are 
 of the simplest possible constitution and not greater than twice the 
 molecular weight ordinarily stated. This view is based on studies of 
 isomorphous mix-crystals which it is assumed are in the state of solid 
 solutions. Positive proof of the non-polymerisation of the molecules 
 in solid solutions has not yet been published ; on the contrary, many 
 facts are quite opposed to this view. 
 
 Becke 584 has criticised Fock's theory in a manner which demands 
 
MOLECULAR WEIGHTS OF CRYSTALS 285 
 
 further investigation. According to him, in endeavouring to explain 
 what relationship exists between crystalline form and chemical com- 
 position, special attention must be paid to symmetry as this is the 
 most obvious factor common to both stereo-chemistry and crystallo- 
 graphy. In Fock's theory this is not the case. 
 
 Becke's 585 attempt to explain stereo-chemically the cause of the 
 hemihedrism * of calcspar and magnesite and of the tetrahedrism t 
 of dolomite and ankerite is of special value. He started with the 
 Bravais-Sohncke theory of crystalline structure, but instead of 
 extensionless points he imagines symmetrical, corporeal molecules or 
 molecular groups as forming a kind of lattice-work. Nevertheless, 
 F. Becke has only been able to apply his partially developed ideas to 
 a few cases, and as he has suggested no hypothesis to explain the mini- 
 mum molecular w r eight in the solid state, his ideas do not admit of 
 general application. According to L. Brauns 586 , the method adopted 
 by Becke in attempting to ascertain the relative position of the atoms 
 in space may result in representing symmetry in the form of a stereo- 
 chemical formula. 
 
 (b) The Modern Theory of Crystalline Structure and the Possibility of 
 its Combination with Structural Chemical Theories 
 
 The work of Fock and Becke in connection with the formulation of a 
 stereo-chemical theory would probably have been crowned with quite 
 different results if the leading structural chemical theories were in as 
 complete agreement with the available experimental material as is the 
 case with the H.P. theory, or if the existing stereo-chemical theories 
 had been placed on a broader basis. Hence it seemed worth while to 
 endeavour to convert the H.P. theory into a general stereo-chemical 
 theory and to combine it with the results of crystallography. This 
 would appear to be the best method of solving the problem as to the 
 relationship between crystalline form and chemical composition. 
 
 The fact that a series of physical properties of crystals shows a 
 definite arrangement in the smallest particles, has stimulated a number 
 of investigators such as Bravais 587 , Frankenheim 588 , and Sohncke 589 to 
 attempt to find the laws connecting the theoretical spatial relations of 
 observed crystalline forms to the corresponding symmetries. 
 
 If the limiting faces of crystals are conceived as lying in three 
 axes which meet in a point but are not in a single plane, the crystalline 
 forms of any substance may as is well known be expressed in terms 
 of the lengths of these axes and of the angles between them. It is 
 also supposed that the smallest particles of which crystals are com- 
 posed lie along the same axes in accordance with definite laws, thus 
 
 * Hemihedrism is the formation of half the number of faces possessed by the com- 
 plete forms of crystals of the same series. 
 
 t Tetrahedrism occurs when a crystal has only one quarter of the number of 
 faces possessed by the primary form. 
 
286 
 
 THE STEREO-HEXITE-PENTITE THEORY 
 
 forming the various crystal forms. The generally accepted explanation 
 of crystalline structure originated in this manner. 
 
 If this theory of crystalline structure is to be combined with a 
 structural chemical theory, atoms or groups of atoms must, clearly, 
 be conceived in place of the formless points. These points then become 
 the centres of gravity of the various atoms or atomic groups. The 
 place in which these " points " are found is their average plane of 
 equilibrium, as the atoms and molecules are, as a result of their heat- 
 content, in a state of constant, oscillatory motion. 
 
 None of the ordinary structural chemical theories can be combined 
 in a simple manner with the general theory of crystalline structure. 
 This combination is possible, however, as soon as the H.P. theory is 
 extended into a stereo-chemical one. 
 
 (c) Stereo-hexites and Stereo-pentites. or a Stereo-chemical Theory 
 In a geometrical double pyramid of the form P : 
 
 C 
 
 the two bases of the pyramids are identical. 
 
 In this bi-pyramid P, CF is represented by (7, AD by A and BE by B, 
 the axes of which cut each other in 0. The lines OA, OB and OC are 
 represented by a, b and c and the angles COB, COD and BOD by a, 
 ft and y. The axes CF, AD and BE are termed chemical axes, the 
 ratio a : b : c is termed the " chemical parameter ratio " and the angles 
 a, /3 and y are termed the angles of the chemical axes. 
 
 In a given hexite, such as the compound 6 Si0 2 , the atomic groups 
 
THE POSITION OF THE ATOMS IN SPACE 
 
 287 
 
 Si0 2 may be arranged at each of the six corners of the double pyramid 
 P. The valencies between the Si0 2 molecules are partly in the direc- 
 tion of the diagonals of the hexagon, i.e. in the direction of the chemical 
 axes, and partly in the direction of the edges of the double pyramid. 
 It is clear that in a hexagon only a portion of the possible valencies 
 can be represented : 
 
 C 
 
 B 
 
 E 
 
 D 
 
 F 
 
 If the atomic groups of a pentite radicle 5 Si0 2 are supposed to be 
 distributed in space, this must be doubled and a double pyramid P' 
 
 described in which the bases ABDE and A'B'D'E' do not coincide, 
 but are parallel to each other, though the distance between them is 
 infinitely small. At the corners of this pyramid (P'), which possess a 
 common chemical axis CF which cuts the other parallel chemical axes 
 AD, BE and A'D', B'E' in the points and O', the atomic groups of 
 two pentites are found. 
 
 The straight lines OA, O'A', and OB, O'B' are each respectively 
 
288 
 
 THE STEREO-HEXITE-PENTITE THEORY 
 
 equal, and may be represented by a and b. The straight line OC is 
 equal to O'F and may be represented by c. The pentites thus have a 
 chemical parameter ratio a : b : c and the angles of their chemical axes 
 are analogous to those in the hexites a, /3 and y. 
 
 A compound of the composition 6A1 2 3 - 12Si0 2 may be repre- 
 sented diagrammatically by 
 
 | Si | Al | Al | Si 
 
 or 
 
 B 
 
 B 
 
 E 
 
 D B 
 
 E 
 
 F 
 
 i.e. the atomic groups in a molecule consisting of several hexites may 
 be conceived as analogous to those of a hexite divided in space. The 
 following facts should be observed : 
 
 1. All the atomic groups (A1 2 O 3 and Si0 2 ) marked C and F in the 
 compound in question are found on the axis CF, whereby each four 
 Al 2 O 3 -groups, as shown by the structural formula, must lie near to 
 each other, two pairs of SiO 2 -groups, on the contrary, are further apart 
 from each other. 
 
 2. All the atomic groups (A1 2 3 and SiO 2 ) marked A and D are on 
 the axis AD whereby the A1 2 O 3 - and SiO 2 -groups are situated precisely 
 the same as those on the axis CF. 
 
 3. The atomic groups marked B and E are distributed along the 
 axis BE in an analogous manner as in 1 and 2. 
 
 4. Each six atomic groups either Si0 2 or A1 2 O 3 of the com- 
 pound are bound by valency forces to their position in space, as is 
 shown by the structural formula : special valency forces between the 
 Si- and the Al-radicles are also in operation, as may be seen from the 
 structural formula. With such an arrangement in space of the hexite 
 units, it must clearly occur that the distances between the atoms of 
 the two Al-hexites and of the two Si-hexites in the compound are 
 unequal. Nevertheless, the difference in the distances between the 
 atoms or atomic groups of the various Al- and Si-hexites is so extremely 
 small that the different Al- and Si-hexites in the compound may be 
 regarded as fully analogous. 
 
 5. A study of the aluminosilicates and allied chemical compounds 
 shows that side-chains (basic, constitutional, water of crystallisation, 
 etc.) may be attached in the direction of the axes CF, AD and BE. 
 
 6. If atoms or atomic groups occur at the point O (Fig. P), i.e. 
 
THE STRUCTURE OF CRYSTALS 289 
 
 in the point at which the three chemical axes cut each other, and are 
 combined by valency forces with two, or n, hexites or pentites, the 
 /#- and y-complexes are formed (pp. 76 and 241). 
 
 7. The chemical parameter ratio a : b : c and the size of the angles 
 a, /3 and y form the chemical constants and depend upon the size of the 
 valency forces between the atomic groups. 
 
 (d) The Hexite-Pentite Law 
 
 The valency forces between the hexite- and pentite-units and 
 the radicles themselves (the hexites and pentites) of various sub- 
 stances are very variable ; in many compounds they are so feeble 
 that the existence of the hexite-pentite law has naturally been over- 
 looked until the present. 
 
 It is highly probable that very many compounds (both simple and 
 complex) of widely different elements, such as carbon, silicon, alu- 
 minium, iron, chromium, manganese, the halogens, nitrogen, oxygen, 
 etc., exist in the form of hexites and pentites or in combinations of 
 these as has already been shown in the present work. This implies 
 that this arrangement of the atoms is neither a mere coincidence nor a 
 property of only a few substances, but of matter generally, and on this 
 the hexite-pentite law is based and has proved to be of great value in 
 stereo-chemistry . 
 
 The hexite and pentite form is not characteristic of only a few 
 compounds (aluminosilicates, silico-molybdates, metal-ammonias, etc.) 
 but of matter generally. Each chemical compound in the solid state 
 is composed of hexites or pentites or combinations of them, the atoms 
 or atomic groups being arranged in space in the manner indicated. 
 In this manner major and minor valencies occur. 
 
 (e) The Combination of the Stereo-Hexite-Pentite Theory and the Modem 
 Theory of the Structure of Crystals 
 
 The stereo-hexite-pentite theory mentioned above, and for the 
 sake of brevity termed the " S.H.P. theory," may easily be combined 
 with the theory of crystalline structure published by Bravais, Franken- 
 heim and Sohncke, by substituting the units of hexites and pentites 
 for the formless " points " in the latter theory. 
 
 Frankenheim 590 , in his theory of the structure of crystals, has 
 regarded these points as molecules from which the crystals form. 
 Sohncke 591 , in his theory of the atomic construction of matter, also 
 used the word " point " as meaning " molecule." Sohncke sought to 
 prove by a priori arguments that if the atomic construction of matter 
 is the cause of the structure of crystals, only the present known systems 
 of crystals can exist, no others being possible. 
 
 The hexite and pentite units are not equidistant from each other, 
 as different affinities exist between them, especially if the substance 
 under consideration is composed of units of different natures. The 
 
290 CONSEQUENCES OF STEREO-HEXITE-PENTITE LAW 
 
 distances between the various units, and particularly the differences 
 in these distances, are so extremely small that they may be regarded as 
 equidistant. If it is assumed that all the " molecular lines " AD, BE 
 and CF, on which the hexite and pentite units are distributed, are in 
 parallel groups (i.e. all the AD lines are parallel to all the AB lines 
 and so on) and that the "molecular planes" ABDE and A'B'D'E' 
 are parallel to each other, the so-called " network " and " regular 
 system of points," i.e. the theory of crystalline structure, follows. 592 
 
 Limits of space prevent a more detailed description of the generally 
 accepted theory of the structure of crystals ; this can be obtained 
 from the published literature on the subject. It may, however, be 
 noted that this theory is generally accepted because it is in full agree- 
 ment with numerous properties of crystals. Thus it was found, as a 
 result of this theory, 593 that altogether 14 kinds of parallelopipedonal 
 arrangements are geometrically possible and that only seven classes of 
 crystals can exist which can be distinguished by their symmetry. This 
 result is in agreement with experience. The seven different arrange- 
 ments in space of the molecules show the same symmetrical ratios, 
 as the seven classes of crystals show in regard to cohesion. 
 
 It may be inferred a priori that, as this theory of crystalline 
 structure does not postulate any bonds (affinity forces) between the 
 units of the crystal, i.e. between the atoms or atomic groups, and pays 
 no regard to the nature of these units, it cannot explain many of the 
 constitutional properties of crystals. Thus, according to the " network 
 theory " all crystals which crystallise regularly must be optically 
 iso tropic, yet such crystals are known which are optically diaxial. i.e. 
 anisotropic. This theory also fails to explain other properties of 
 crystals which are probably of a constitutional nature, such as the 
 difference in behaviour of a crystal in two different positions such as 
 is shown by its solution and change of temperature under the action of 
 an electric current, and by the existence of two crystals built in 
 opposite ways and polarising circularly in opposite directions. Sohncke 
 endeavoured to explain this last property crystallographically by 
 means of new hypotheses. 
 
 As previously explained, it is possible to combine the stereo-hexite- 
 pentite theory with the modern theory of the structure of crystals. It 
 is by no means improbable that the weaknesses in the modern theory 
 of the structure of crystals may be overcome by its combination with 
 the S.H.P. theory. To ascertain this it is now necessary to see how 
 the facts agree with the S.H.P. theory. 
 
 (/) The Stereo-Hexite-Pentite Theory and the Facts 
 A. Di- and Poly-morphism and Hauy's Law 
 
 It follows from the theory that a given compound such as CaCOj 
 may exist in either the hexite or pentite form if it is in the solid state. 
 The minimum molecular weight of this substance when in the solid 
 
DI- AND POLY-MORPHISM 291 
 
 state may therefore correspond to (CaC0 3 ) 6 or (CaC0 3 ) 10 , or if both 
 hexite and pentite radicles exist in the same molecule, other compounds, 
 such as (CaC0 3 ) 16 , (CaCO 3 ) 22 , etc., are possible. The actual existence 
 of simple acids and salts in the form of hexites and pentites has been 
 shown in a number of cases in the chapter on " The H.P. Theory and 
 the Constitution of Simple Acids " (p. 268). In the following formulae, 
 which may lead to a theoretical minimum of molecular weight, it will 
 be found that simple salts may consist of hexites and pentites and 
 their combinations : 
 
 In this connection the composition of the following borates 594 is 
 interesting : 
 
 Boronatrocalcite Na a O 2 CaO 5 B 2 3 12 H 8 
 
 Ascharite 6 MgO 3 B 2 3 2 H 2 
 
 Pandermite 2 CaO 3 B 2 O 3 3 H 2 O 
 
 Colemanite 2 CaO 3 B 2 3 5 H 2 O 
 
 Franklandite Na 2 CaO 3 B 2 3 7 H 8 
 
 Hydroboracite Mgo CaO 3 B 2 3 6 H 2 O 
 
 Larderellite 2 (NH 4 ) 2 8 B 2 O 3 8 H 2 O 
 
 Kaliborite K 2 O 4 MgO 11 B 2 3 12 H 2 
 
 The minimum molecular weight of some phosphates, arsenates and 
 vanadates may be found from the composition of the minerals of the 
 apatite group : 595 
 
 f9CaO-3P 2 5 -CaFl 2 
 
 Apatite ^ 9 CaO 3 P 2 O 5 CaCl 2 
 
 [9CaO-3P 2 5 -Ca(Cl,Fl) 2 
 
 Pyromorphite 9 PbO 3 P 2 5 CaCl a 
 
 Polyspharite 9 R"O 3 P 2 O 5 CaCl 2 (R"=Pb, Ca) 
 
 Mimetesite 9 PbO 3 As 2 O 5 PbCl 2 
 
 Kampylite 9 PbO 3 RjO, PbCl 2 (R V =P, As) 
 
 Vanadinite 9 PbO 3 V 2 6 - PbCl 2 
 
 Endlichite 9 PbO 3 Rj0 5 PbCl 2 (R v =As, Vd) 
 
 Hexites and pentites may also be formed from the molecules Si0 2 , 
 TiO 2 , Zr0 2 , Fe 2 O 3 , A1 2 3 and from the atoms S, Se, P, C, etc. All 
 these substances, when in the form of hexites or pentites, have, 
 nevertheless, the empirical formulae Si0 2 , Ti0 2 , etc. Hence such 
 hexites and pentites must be distinguished from each other by means of 
 their crystalline form, hardness, specific gravity, behaviour towards 
 reagents, etc. In a certain sense it may be stated that the substances 
 CaCO 3 , Si0 2 , TiO 2 , etc. are di- or poly-morphous ; in reality they form 
 chemically different substances. 
 
 This consequence of the theory may be fully and completely proved 
 by the facts. From the large amount of published information 
 respecting polymorphous substances 596 the following may be quoted : 
 
 Calcium carbonate (" CaCO 3 ") : hexagonal-rhombohedric as calcite 
 (calcspar), 597 rhombic as aragonite. 598 
 
 Strontium carbonate (" SrC0 3 ") : dimorphous. 599 
 
 Silica (" Si0 2 ") : hexagonal-trapezohedric-tetratohedric as quartz, 
 
292 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 hexagonal as a-tridymite, 601 rhombic as /3-tridymite. Von Lasaulx 602 
 and Schuster 603 have regarded /6-tridymite as triclinic ; Mallard 604 , on 
 the contrary, has shown that /3-tridymite crystallises rhombically and 
 Arzruni 605 and Groth 606 agree with him. Silica also crystallises regularly 
 as a-cristobalite 607 and tetragonally as jS-cristobalite. 608 
 
 . Titanic oxide (" Ti0 2 ") : tetragonal as rutile, 609 tetragonal as anas- 
 tase, 610 rhombic as brookite 611 or arkansite and as edisonite. 612 Haute- 
 feuille 613 has prepared anastase artificially at 860, brookite between 
 860 and 1000 and rutile at a higher temperature. 
 
 Svlphur (" S ") : rhombic, 614 a-monoclinic, 615 /3-monoclinic, 618 
 y-monoclinic (?), 617 hexagonal 618 and as "black sulphur." 619 
 
 Ferric Sulphide (" FeS 2 ") : regular pentagonal hemihedric as 
 pyrite, 620 rhombic as marcasite. 621 
 
 An interesting light is thrown by the S.H.P. theory on the cause of 
 the dimorphism of the compounds with the empirical formula FeS 2 . 
 These sulphides may be compared with oxygen compounds from 
 which the oxygen has been removed. For instance, the following 
 compounds, with the ratio B : S = 1 : 2 are theoretically possible : 
 
 (a) 1 J R"0 3 R 2 '"0, 15 SO, 
 
 (b) 3 R 2 '"0 3 12 SO, 
 
 (c) 3R"0 6 SO, 
 
 If the oxygen is struck out and Fe" is substituted for R" and Fe'" for 
 R'", the following compounds will be produced : 
 
 (a) 1 J Fe" 3 Fe/" 15 S = 7.5 FeS 2 
 
 (b) 3 Fe/" 12 S = 6 FeS 2 
 
 (c) 3 Fe" 6 S = 3 FeS 2 
 
 In other words, three different compounds with the empirical formula 
 FeS 2 are possible. In the first, one-fifth of the iron must be present 
 in the ferrous state, the remainder being ferric ; in the second all the 
 iron is in the ferric state, and in the third compound the whole of the 
 iron is in the ferrous state. 
 
 According to Brown 622 , only one-fifth of the iron in pyrite is in the 
 ferrous state, whilst in marcasite it is all in this state, i.e. the structural 
 formula a is that of pyrites, and c is that of marcasite. The b form of 
 FeS 2 is not, at present, known. Brown assigns to pyrite the following 
 improbable formula : 
 
 Fe 
 
 I I 
 F Fe Fe Fe 
 
 ^\ /\ /\ 
 
 S S S SS S S S 
 
 Other metals whose compounds occur in " ous " and " ic " states 
 such as cobalt, nickel, etc. must form analogous compounds with the 
 
DI- AND POLY-MORPHISM 293 
 
 general formula RS 2 . In short, compounds with the general formula 
 RS 2 must be di- or poly-morphous. 
 
 This treatment of the sulphides leads to new ideas as to their 
 constitution, and it would be interesting, did space permit, to calculate 
 the formulae from the analyses of such compounds and to study their 
 properties in the light of this theory. 
 
 The simple elements Se, P, As, C, Sn, Zn, Fe, Ir, Pd, Ag, etc., occur 
 in various forms, as do also the compounds: (NH 4 ) 2 SiFl 6 , K 2 SnFl 8 , 
 ZnS, HgS, FeS 2 , Ag 3 SbS 3} Fe 2 3 , Sb 2 O 3 , As 2 3 , NH 4 NO 3 , KN0 3 , 
 LiN0 3 , Al 2 3 -Si0 2 , Na 2 0-Al 2 3 -3SiO 2 , Na 2 A1 2 3 4Si0 2 , 
 K 2 A1 2 3 2 Si0 2 , CaO A1 2 3 2 SiO 2 , etc. 
 
 According to the S.H.P. theory each chemical compound in the 
 solid state must have its own definite a : b : c ratio and its own a, ft and 
 y angles ; i.e. it must have its own crystalline form. According to this 
 theory it is improbable that a single substance can change its crystal- 
 line form. This agrees in a remarkable way with the law stated by 
 the well-known mineralogist Hauy 623 in 1801, to the effect that " one 
 and the same substance, in a chemical sense, can occur in only one 
 form." 
 
 Berthollet 624 opposed Hauy's view and suggested that the forms of 
 crystals are accidental and are independent of their chemical com- 
 position. In support of this he referred to the two minerals aragonite 
 and calcite, which have both the same chemical composition (CaC0 3 ), 
 yet differ in crystalline form. Hauy next suggested that the difference 
 in the crystalline form of these two minerals might be due to the 
 presence of strontium in aragonite, though he failed to find strontium 
 in some aragonites, and was eventually obliged to abandon this 
 suggestion. In spite of opposition, Hauy refused to abandon his 
 " law " and maintained that the calcspar-aragonite problem must be 
 capable of some other explanation. Since 1821, however, Hauy's law 
 has been neglected on account of the discovery, in that year, by 
 Mitscherlich 625 of two forms of sodium phosphate H 2 NaP0 4 H 2 0. 
 
 Mitscherlich 626 held that any substance elementary or compound 
 can occur in two different crystalline forms. This view, which was 
 based on the occurrence of two sodium phosphates with the formula 
 H 2 NaPO 4 - H 2 O and of various elements in several forms, is clearly 
 incorrect, as de facto these are chemically different compounds, all 
 of which possess the same empirical formula. 
 
 It was only towards the close of the nineteenth century that a 
 number of investigators concluded that Hauy's law is correct. Thus, 
 Geuther 627 endeavoured to find the cause of the dimorphism of CaCO 3 
 in the existence of a " di-carbonic acid " H 4 C 2 6 and a " mono -carbonic 
 acid " H 2 C0 3 ; he assigned to calcite and aragonite the following 
 structural formulae : 
 
 Calcite. 
 
294 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 nd " 
 
 Aragonite. 
 
 The credit for an explanation of di- or poly-morphism by means 
 of an assumption which agrees with the S.H.P. theory is due to 
 O. Lehmann 628 . This is based on numerous experiments. He concluded 
 that the chemical molecules within the physical molecule are combined 
 with each other even though loosely ; and that different modifications 
 of a polymeric substance are really different substances. 
 
 As the result of his experiments, Lehmann was led to a " re- 
 discovery " of Hauy's law which he stated in the following terms : 
 
 1. No substance has more than one crystalline form. If two 
 substances have different crystalline forms they are different substances 
 chemically, no matter whether they are atomic or molecular compounds. 
 
 2. No substance has more than one state of aggregation. The so- 
 called " three states " of aggregation of some substances really repre- 
 sent three chemically different substances. 
 
 B. Isomorphism in the light of the S.H.P. Theory 
 
 Substances which are chemically related and those having an 
 analogous constitution must clearly be related in their crystalline 
 form. Such a connection between the crystalline form and chemical 
 composition may be inferred from the S.H.P. theory, but its existence 
 was discovered as early as 1819 by Mitscherlich 629 . Whilst examining 
 phosphates and arsenates Mitscherlich observed that the salts of both 
 phosphoric and arsenic acids frequently have the same form ; he 
 concluded that the chemical and crystalline forms are interdependent 
 and proposed the term " isomorphism " for this phenomenon. 
 
 From the S.H.P. theory it also follows that isomorphous compounds 
 have similar, but not absolutely identical chemical and geometrical 
 constants (a : b : c and a, /3, y). As the geometrical constants depend 
 on the valency forces between the units and these vary with different 
 units, the geometrical constants of analogously constituted substances 
 which contain somewhat different constituents must clearly show 
 certain differences. Hence, if the substances have not precisely the 
 same composition they cannot be regarded as of identical crystalline 
 form even though they are apparently quite isomorphous. Groth 630 
 has shown that, with more accurate instruments, the angles of crystals 
 of isomorphous substances are found to be very nearly, but not abso- 
 lutely, equal to each other. 
 
 The isomorphism discovered by Mitscherlich was found to occur in 
 all mineral groups, and such minerals are therefore arranged into 
 groups of crystallographically related substances. Amongst the most 
 important of these are the widely distributed minerals of the felspar 
 group, which have a remarkable resemblance to each other in their 
 crystalline form and other physical characteristics. Schuster's 631 
 
ISOMORPHISM 295 
 
 investigations have shown that in a large number of felspars (plagio- 
 clases) the optical properties show these substances to be capable of 
 arrangement in a definite series. 
 
 Under the name " tourmaline " are grouped a number of minerals 
 which, with the instruments available, appear to agree completely in 
 their crystalline form and are, therefore, regarded as isomorphous. 
 Mica, clintonite, etc., form similar groups. Chemists and mineralogists 
 have been very energetic in endeavouring to explain the isomorphism 
 of such minerals in terms of chemical structure, but so far they have 
 found no generally satisfactory solution to this problem. Thus, 
 Rammelsberg 632 , as early as 1850, pointed out a relationship between 
 the monoclinic orthoclase and the triclinic minerals albite, oligoclase, 
 labradorite and anorthite. According to him these minerals closely 
 resemble each other in their geometrical form and do not differ from 
 each other more than do other isomorphous substances. They also 
 show a great similarity in their physical properties, but chemically 
 they show such differences that " chemists consider that a separation 
 is essential." On another occasion Rammelsberg 633 pointed out the 
 similarity of the tourmalines crystallographically, though, according 
 to him, they are quite unrelated chemically. In his opinion, the 
 tourmalines consist of silicates of varying degrees of saturation which 
 are combined in different ways and yet are isomorphous, i.e. they are 
 of very similar form. 
 
 In order to explain the relationship between the crystalline form 
 and the chemical composition of minerals of the felspar group, Tscher- 
 mak assumed that the felspars were isomorphous mixtures of two 
 silicates albite and anorthite to which he gave the following formula : 
 
 Albite NaAlSiSi 2 8 
 
 Anorthite . . . .CaAlAlSi 2 8 
 
 All triclinic felspars are, according to Tschermak, simply mixtures 
 of albite and anorthite in all imaginable proportions, so that a con- 
 tinuous series is possible. Although this felspar theory has proved of 
 great value for the systematic study of analyses of the felspars, it has 
 been powerfully opposed from several sides. As a matter of fact, 
 there is always some K, Mg, and ferrous and ferric iron in felspars which 
 do not occur in the mixtures ; i.e the felspars cannot contain these 
 substances if they are simply mixtures of albite and anorthite. After 
 prolonged discussion, extending over some years, Tschermak's theory 
 is now accepted by most mineralogists, particularly since Schuster 634 
 has shown that the plagioclases may be made to form a series based on 
 their optical properties and that for each composition of the limiting 
 members there is a definite optical behaviour which is reminiscent of 
 either albite or anorthite. 635 
 
 As the miscibility of albite and anorthite which are not analogous 
 in their chemical composition appears plausible from a chemical 
 point of view, attempts have been made in other directions to find 
 
296 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 structural formulae for the mixed members of the felspars albite and 
 anorthite so that they appear to have a chemical as well as a crystallo- 
 graphic relationship. For instance, Clarke 636 has suggested the follow- 
 ing formulae : 
 
 /[Si,OJ ss Na 8 /[Si0 4 ] = Ca Ca = [Si0 4 ] x 
 
 AlAsiaOe] 33 Al Alf-[Si0 4 ] = Al Al ^ [Si0 4 HAl 
 \[Si,0 8 ] ss Al \[SiO J 33 Al Al ss [SiO J/ 
 
 Albite. Anorthite. 
 
 Here he clearly assumes the possibility of an isomorphous replace- 
 ment of the tetravalent groups (Si0 4 ) and (Si 3 8 ). Groth 637 , on the 
 contrary, suggests the folio whig formulae for the same substances : 
 
 Q . Q . 
 
 Si\ _Al/\Si = "NoAl 0-A1 = 
 \O/ \ 
 
 o o \o 
 
 1/0 Na I /o Ca 
 
 S S Sl ^o 
 
 Albite. Anorthite. 
 
 Attempts have also been made to explain the relationship between 
 the crystalline form and the chemical composition of the tourmalines 
 on the assumption that hypothetical members of the series exist. 
 Jannasch 638 has given the following simple formula for the " isomor- 
 phous mixture series ' ' : 
 
 Si Si 
 
 O O 0\ /O O O O 
 R R R | RR R 
 
 This does not agree with all the ratios of Si0 2 : B 2 O 3 actually 
 found in tourmalines. Clarke 639 , on the contrary, assumes the following 
 hypothetical members for the tourmaline series which are analogously 
 constituted ; these approach more closely to the actual facts : 
 
 I. II. 
 
 /Si0 4 = R s /Si0 4 SB MgH 
 
 AU_Si0 4 ss Al Alf^iO 4 ss MgH 
 \Si0 4 = Al B0 2 \SiO 4 = Al B0 2 
 
 I I 
 
 Al B0 3 = NaH Al B0 3 = NaH 
 
 I I 
 
 /Si0 4 = Al B0 2 /SiO 4 = Al B0 2 
 
 Alf-Si0 4 33 Al Al^-Si0 4 = Al 
 
 \Si0 4 33 Al \Si0 4 33 Al 
 
ISOMORPHISM 
 
 297 
 
 III. 
 
 /Si0 4 = MgH 
 Alf-Si0 4 = MgH 
 \Si0 4 = Al B0 2 
 
 Al B0 3 = NaH 
 
 /Si0 4 = Al B0 2 
 Al^-Si0 4 = MgH 
 \Si0 4 35 Al 
 
 IV. 
 
 /Si0 4 ss MgH 
 Si0 4 s= MgH 
 Si0 4 = Al B0 2 
 
 Al B0 3 = NaH 
 
 /Si0 4 = Al B0 2 
 Al^-Si0 4 = MgH 
 \Si0 4 3= MgH 
 
 It is interesting to see what is the genetic relationship between all 
 the members of the felspar groups, both crystallographically and 
 physically, in the light of the S.H.P. theory. The calculation of the 
 formulae of a large number of analyses of the felspar group (see 
 Appendix) shows that they may be regarded as salts of the following 
 acids : 
 
 I II 
 . / 
 
 <j3i R ! Si 
 
 I I 
 
 I I 
 \/\/\_ 
 
 Si R Si Si | R Si 
 
 B. 
 
 C. 
 
 D. (a) 
 
 D. (6) 
 
 i.e. A. 8 H 2 O 5 A1 2 O 3 22 SiO 2 
 
 B. 7 H 2 O 5 A1 2 O 3 24 SiO 2 
 
 C. 9 H 2 6 A1 2 O 3 20 Si0 2 
 
 D. 12 H 2 6 A1 2 3 24 Si0 2 
 
 Two isomeric compounds D are shown ; isomers of the other 
 hydrates are clearly possible. 
 
 As has already been shown, each of these types can produce a 
 
298 CONSEQUENCES OF STEREO-HEX ITE-PENTITE THEORY 
 
 whole series of hydrates. Strictly speaking, the formulated felspars of 
 these different types are salts of various hydrates. 
 
 The hydrates here mentioned are, in a certain sense, the maximal 
 hydrates of the felspars of these types, with a maximum proportion of 
 " water of constitution " or of acid hydroxyls. 
 
 From this representation of the structure of the felspars the 
 following inferences which are in agreement with previous experi- 
 ments may be drawn : 
 
 1. There is a genetic relationship between the various members of 
 the series, both physically and chemically, i.e. there is a similarity in 
 their crystallographic, optical (see Schuster) and other physical 
 properties. 
 
 2. The proportion of potassium, magnesium and iron (the last 
 named in various states of oxidation) in some felspars is appreciable. 
 
 3. The maximum proportion of base -f water of constitution in 
 some felspars is explicable ; e.g. the presence in salt 50 of the A type 
 of 6 MO - 2 H 2 O ; the presence of 7 MO 5 H 2 O in No. 145 of type D 
 and of 9 MO 3 H 2 in No. 146 of the same type (see Appendix). 
 
 4. These structural formulae also provide an explanation how it is 
 that if the content of base is divided as in formula a (C axis) a different 
 system will be produced than would occur if the base were in the 
 positions shown in b (i.e. nearer the A and B axes) ; i.e. the formation of 
 monoclinic and triclinic felspars may be readily understood. The 
 formula b is that relating to the triclinic felspars. 
 
 The general crystalline form of a large number of compounds, such 
 as those of type a, is explicable by means of their common kernel or 
 core. 
 
 Analogous relationships are also observable in the minerals of the 
 tourmaline group (see Appendix). 
 
 It is interesting to note that Retgers 640 had previously suggested 
 that the isomorphism of the members of various silicate groups may be 
 completely explained by means of a large, common kernel or core. 
 " If we regard them as containing such a molecular core, it is at once 
 clear that the secondary atoms may be regarded as chemically analo- 
 gous. No matter whether the molecules which adhere to the large core 
 are small, like H 2 0, CaO or NH 3 , or whether they contain 6 or 7 
 molecules aq., the chief fact is that the common core reveals itself 
 clearly in the crystalline form." 
 
 These opinions on the constitutions of the felspars, tourmalines, 
 etc., were not without influence, for even simple compounds of which 
 the analyses lead to simple formulae have been regarded by many 
 writers as though they were mixtures, i.e. as composed of substances 
 mixed in capricious proportions and not combined in stoichiometrical 
 quantities. Others have regarded substances as " isomorphous 
 mixtures " even when they have shown them to be composed in 
 definite stoichiometrical proportions. As an instance of this the 
 " mix-crystals " of sulphurous salts investigated by Fock 641 may be 
 
ISOMORPHISM 
 
 299 
 
 mentioned, particularly the ammonium salts (NH 4 ) 2 S 2 5 1JH 2 0, 
 and the salts with the general formula R"O S 2 5 J H 2 (where 
 R"=Zn, Cd, Fe, Ni, Co and Mn) which Fock has examined crystallo- 
 graphically. In spite of the fact that these " mix-crystals " contain 
 their various constituents in stoichiometrical proportions, Fock 
 regarded them as " isomorphous mixtures." 
 The following salts were obtained by Fock : 
 
 I. 
 
 1. 
 
 4 
 
 (NH 
 
 4 ) 2 
 
 
 
 ZnO 
 
 5 
 
 S 
 
 2 o 
 
 5 
 
 
 2 
 
 4 
 
 (NH 
 
 4/ 2^-^ 
 
 
 
 FeO 
 
 5 
 
 S 
 
 2 o 
 
 5 
 
 
 3. 
 
 4 
 
 (NH 
 
 4 ) 2 
 
 
 
 NiO 
 
 5 
 
 s 
 
 2 o 
 
 5 
 
 
 4 
 
 4 
 
 (NH 
 
 4 ) 2 O 
 
 
 
 CoO. 
 
 5 
 
 s 
 
 2 o 
 
 5 
 
 
 5. 
 
 4 
 
 (NH 
 
 4/ 2^-' 
 
 
 
 MnO 
 
 5 
 
 s 
 
 2 o 
 
 5 
 
 II. 
 
 6. 
 
 3 
 
 (NH 
 
 4 ) 2 O 
 
 2CdO 
 
 5 
 
 s 
 
 2 o 
 
 5 
 
 III. 
 
 7. 
 
 16 
 
 (NH 
 
 4/ 2^-^ 
 
 6 
 
 FeO 
 
 22 
 
 s 
 
 2 o 
 
 5 
 
 IV. 
 
 8. 
 
 18 
 
 (NH 4 ) 2 
 
 4 
 
 ZnO 
 
 22 
 
 s 
 
 2 o 
 
 5 
 
 On re-calculating Fock's figures the following Table is obtained : 
 
 Compound 
 
 (NH 4 ),O 
 per cent. 
 
 HO 
 
 per cent. 
 
 (NH 4 ) 2 S 2 
 1J H Z 
 per cent. 
 
 BSjO, 
 1JH.O 
 
 per cent. 
 
 Total 
 
 Mol.- 
 ratio 
 
 NH 4 Zn-Salt 
 
 
 
 
 
 
 
 (a) Tabular crystals 
 
 18.47 
 
 6.39 
 
 79.19 
 
 19.90 
 
 99.09 
 
 4 1 
 
 
 18.64 
 
 6.44 
 
 79.93 
 
 20.07 
 
 100.00 
 
 
 (b) Prismatic crystals . 
 
 18.82 
 
 5.82 
 
 80.71 
 
 18.12 
 
 98.83 
 
 9 2 
 
 
 19.02 
 
 5.92 
 
 81.57 
 
 18.43 
 
 100.00 
 
 
 (NH 4 ) Cd-Salt . . 
 
 14.34 
 
 16.40 
 
 61.50 
 
 38.36 
 
 99.86 
 
 3 2 
 
 
 13.97 
 
 17.15 
 
 59.89 
 
 40.11 
 
 100.00 
 
 
 NH 4 Fe-Salt 
 
 
 
 
 
 
 
 (a) Crystal from the solution 
 
 16.81 
 
 8.12 
 
 72.09 
 
 27.43 
 
 99.52 
 
 8 3 
 
 1 FeO : 1 (NH 4 ) 2 O . 
 
 17.11 
 
 7.88 
 
 73.36 
 
 26.64 
 
 100.00 
 
 
 (b) Crystal from the solution 
 
 18.73 
 
 5.89 
 
 80.32 
 
 19.90 
 
 100.22 
 
 4 1 
 
 1 FeO : 4 (NH 4 ) 2 O . 
 
 18.77 
 
 5.77 
 
 80.51 
 
 19.49 
 
 100.00 
 
 
 NH 4 -Ni-Salt 
 
 18.64 
 
 5.74 
 
 79.94 
 
 18.86 
 
 99.00 
 
 4 1 
 
 
 18.73 
 
 5.97 
 
 80.34 
 
 19.66 
 
 100.00 
 
 
 NH 4 - Co-Salt .... 
 
 18.69 
 
 5.73 
 
 80.15 
 
 18.86 
 
 99.01 
 
 4 1 
 
 
 18.73 
 
 5.97 
 
 80.34 
 
 19.66 
 
 100.00 
 
 
 NH 4 -Mn-Salt .... 
 
 18.41 
 
 5.63 
 
 78.95 
 
 19.23 
 
 98.18 
 
 4 1 
 
 
 18.79 
 
 5.69 
 
 80.58 
 
 19.42 
 
 100.00 
 
 
 The molecular ratios shown above differ slightly from Fock's ; he 
 obtained a series corresponding chiefly to 4 (NH 4 ) 2 R"O 5 S 2 O 5 . 
 According to him the geometrical ratios of these salts are : 
 
 Compound 
 
 a : b : c 
 
 NH 4 
 
 Zn Salt 
 
 
 
 
 
 
 
 2.0597 
 
 1 
 
 
 .2042 
 
 90 52' 
 
 NH 4 
 
 Cd Salt 
 
 
 
 
 
 
 
 2.1299 
 
 1 
 
 
 .2263 
 
 90 49' 
 
 NH 4 
 
 Fe Salt 
 
 
 
 
 
 
 
 2.0564 
 
 1 
 
 
 .1907 
 
 90 51' 
 
 NH 4 
 
 Ni Salt 
 
 
 
 
 
 
 
 2.0643 
 
 1 
 
 
 .2077 
 
 90 56' 
 
 NH 4 
 
 Co Salt 
 
 
 
 
 
 
 
 2.0594 
 
 1 
 
 
 .2045 
 
 90 54' 
 
 NH 4 
 
 mi 
 
 Mn Salt 
 
 n 
 
 
 t 
 
 
 
 
 
 2.1289 
 
 1 
 
 : 
 
 1.2173 
 
 90 19' 
 
 5 1 A 
 
 These figures do not indicate " isomorphous mixtures," but 
 definite chemical compounds in which may clearly be seen the charac- 
 teristic which is so often observed in pentites, viz. that one-fifth of 
 the units behave differently from the remainder. 
 
300 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 Rammelsberg 642 has also shown that the components of " iso- 
 morphous mixtures " have a relatively simple relationship to each 
 other ; from this he concluded that they must be regarded as molecular 
 compounds with a simple and rational molecular ratio. 
 
 The influence of Tschermak's theory of the constitution of some 
 felspars has been very great and some chemists and mineralogists have 
 even used it to explain the crystallographic relationship between the 
 members of a series of other complex silicates. In this way, the 
 minerals of the scapolite group with its end-members consisting of 
 mejonite Ca 4 AlaSi 6 2 5 and marialite Na 4 Al 3 Si 9 24 Cl ; 643 the amphibole 
 group with actinolite (Mg. Fe) 3 CaSi 4 Oi 2 and syntagmatite (R" 3 R'" 2 - 
 Si 3 12 ) 644 as end metals, the clintonite, mica, orthochlorite and other 
 groups have been regarded as isomorphous or morphotropic 645 
 mixtures. No one appears to have been troubled by the thought 
 that many of the so-called mix-crystals of this series are still un- 
 known. 
 
 Rammelsberg 646 sharply protested against this generalisation of 
 Tschermak's theory with which he did not agree, but he was unable to 
 convince many people of the truth of his protest. It is clear that, if the 
 Tschermak theory were correct, it would be of general application and 
 would not apply to merely a single group of minerals, 647 - 648 as is found 
 to be the case. The great difficulty in the way of accepting the theory 
 that these substances are isomorphous mixtures is to be found in some 
 facts which this theory cannot explain and which are in direct con- 
 tradiction to it. Thus, Retgers 649 endeavoured to produce mix- 
 crystals from the salts KH 2 P0 4 and NH 4 H 2 P0 4 , and according to this 
 theory he should have obtained an " unbroken series of mixtures." 
 As a matter of fact, he was only able to obtain " mixtures " containing 
 100 to 80 per cent, of potassium salt to to 20 per cent, of the ammonium 
 salt, and 20 to per cent, of the former to 80 to 100 per cent, of the 
 latter. He could not obtain any intermediate compound containing 
 75 to 25 per cent, of the potassium salt and 25 to 75 per cent, of the 
 ammonium salt. In endeavouring to prepare mix-crystals of KC10 3 
 and T1C10 3 the same investigator 650 again failed to obtain a continuous 
 series. The crystals produced contained either to 36-3 or 97*93 to 100 
 molecular per cents of the first salt. Between these limits of 36-3 
 and 97- 93 there was a gap of nearly 62 molecular per cents. H. 
 Schultze 651 in preparing mix-crystals of PbMo0 4 and PbCr0 4 has 
 found that these only unite in certain definite proportions. 
 
 Negative results have also been obtained by several other investi- 
 gators such as Wyrouboff 652 with (NH 4 ) 2 S0 4 and (NH 4 ) 2 Cr0 4 , 
 Topsoe 653 with BeS0 4 4 H 2 O and BeSe0 4 - 4 H 2 0. No explanation 
 of these facts, which are in direct opposition to the theory of isomor- 
 phous mixed crystals, has yet been found. Yet these facts are not 
 merely explicable by, but are direct consequences of the H.P. theory 
 when the following are taken into consideration : 
 
 1. Tammann's chemical and physio-chemical investigations have 
 
ISOMORPHISM 301 
 
 shown that, in accordance with the H.P. theory, the OH-groups in the 
 hydrates 
 
 / /|!N \ 
 
 I \X I 
 
 1 11 
 
 (a) (b) ^c) 
 
 3 H 2 3 P 2 6 5 H 2 5 P 2 5 5 H 2 8 P 2 O 6 
 
 behave differently ; in a J, in b i, and in c f behave differently from 
 the remainder (see pp. 268 and 269). For this reason Tammann was 
 only able to obtain from the hydrate a the salts Na 2 O 2 K 2 O 3 P 2 5 
 and K 2 2 Na 2 3 P 2 5 , and could not prepare J Na 2 2|- K 2 
 3 P 2 O 5 and & K 2 O 2 J Na 2 O - 3 P 2 5 in this manner. 
 
 Further, in these alkali-salts of the hydrate o, only J of the base 
 conducts positive electricity and K 4 (PO 3 ) 6 passes off as an anion. 
 
 In the compound (NH 4 ) 2 4 (NH 4 ) 2 O 5 P 2 O 5 , J of the base 
 behaves differently from the remainder (p. 269) both chemically and 
 physio-chemically. Thus, only of the (NH 4 ) 2 O can be replaced by a 
 base, the compounds (NH 4 ) 2 O 4R^O - 5P 2 O 5 (R'=Na, Li) being 
 formed ; only ^ of the base atoms conduct electricity. From the 
 composition 3 R"0 2 Na 2 O - 8 P 2 O 5 (R"=Mg, Ca, Mn) it may be 
 seen that in the hydrate c, f of the base behave differently from the 
 rest. 
 
 2. The minerals of the epidote group have the general formula : 
 
 2 H 2 8 CaO 6 R 2 "'0 3 12 Si0 2 (R"' = Al, Fe), 
 and the structural formula : 
 
 In the R-hexites, J of the R-atoms must clearly behave differently 
 from the others. As a matter of fact, the end-members of this mixed 
 series (see Appendix) are : 
 
 I I 
 '' 
 
 Si Al Al Si 
 
 :J| i ii 
 2 H 2 8 CaO 5 A1 2 3 Fe 2 3 12 Si0 2 
 and 
 
 II 
 
 = | Si | Fe | Fe | Si |_ 
 
 II I " II 
 2 H 2 8 CaO 4 Fe 2 3 2 A1 2 O 3 12 Si0 2 
 
 Members with 5.5 A1 2 3 0-5 Fe 2 O 3 or 5 Fe 2 3 A1 2 3 are unknown. 
 
302 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 These facts lead to the conclusion that, in many cases, the pro- 
 duction of a continuous series of mixtures without any gaps is chemi- 
 cally impossible. In this way the experimental results obtained by 
 Retgers, Schultze, Wyrouboff, Topsoe and others may not only be 
 explained, but can actually be predicted from the H.P. theory. For 
 instance, Schultze's experiments on the production of mix-crystals from 
 PbMoO 4 and PbCrO 4 lead to the result shown in the following Table : 
 
 Constituents 
 
 Mol. % 
 
 Mols. 
 
 Mol. % 
 
 Mols. 
 
 Mol. % 
 
 Mols. 
 
 Crystalline 
 
 Colour 
 
 PbMoO 4 and 
 PbCrO 4 
 
 74 
 
 12 
 
 66 
 
 4 
 
 58 
 
 3 
 
 Y tetragonal 
 
 red 
 yellow 
 
 26 
 
 4 
 
 34 
 
 2 
 
 42 
 
 2 
 
 PbMoO 4 and 
 PbCrO 4 
 
 27 
 
 6 
 
 10 
 
 2 
 
 
 
 
 
 I monoclinic 
 
 73 
 
 16 
 
 90 
 
 18 
 
 
 
 
 
 Schultze thus obtained two series of salts which may be distinguished 
 by their crystalline form and colour, viz : 
 
 I. 
 
 II. 
 
 1. 
 
 2. 
 3. 
 4. 
 5. 
 
 16PbO 
 
 6PbO 
 
 5PbO 
 
 22PbO 
 
 20PbO 
 
 12 Mo0 3 
 4Mo0 3 
 3Mo0 3 
 6Mo0 3 
 2Mo0 3 
 
 4Cr0 8 
 
 2Cr0 3 
 
 2Cr0 3 
 
 16 CrO, 
 
 18 CrO, 
 
 The difference in the crystalline form and the colour of the crystals 
 obtained from a mixture of PbMo0 4 and PbCr0 4 can be explained. 
 These properties are closely related to the chemical constitution of 
 these substances : the tetragonal form and red colour are character- 
 istic of hexites and pentites in molybdenum compounds in which this 
 metal is partly replaced by Cr, and the monoclinic form and yellow 
 colour are natural to chromium hexites and pentites in which part of 
 the metal has been replaced by Mo. There is also another good reason 
 why Schultze could not obtain a continuous series of mixtures from 
 lead molybdate and chromate, viz. in Mo- and Cr-hexites and pentites 
 one portion of the atoms behaves differently from the others on substitu- 
 tion. This behaviour is clearly shown in the compounds obtained by 
 Schultze. 
 
 The present fashion for considering that " isomorphous mixtures " 
 are not chemical compounds is partly due to the influence of Ber- 
 th ollet 654 , who, starting with the idea that chemical reactions depend 
 on the masses present, reached the conclusion that in a compound 
 consisting of two or more atoms the extent to which the reaction 
 proceeds will depend on the number of atoms available, provided that 
 no special conditions interfere with the mass-action. 655 From this 
 conclusion, Berthollet argued that substances usually enter into 
 combination in variable quantities according to the conditions under 
 which the reaction occurs. 
 
 Proust opposed this view of Berthollet's and the difference between 
 
ISOMORPHISM 303 
 
 them was eventually ended by the definite proof of the constancy of 
 the combinations. It appeared, however, as if Nature had produced 
 both " privileged " (combined in stoichiometrical proportions) and 
 "unprivileged" compounds (isomorphous mixtures which are not 
 combined in definite proportions and obey the mass-law of Berth ollet). 
 This is not the case ; on the contrary, Nature has formed all definite 
 compounds including the so-called " mixtures " according to one 
 and the same law. 
 
 The following observations, made by John Hunter, with regard 
 to the harmony and obedience to definite laws which are always found 
 in Nature are well worth quoting here : 
 
 " How often we stumble against what we think are irregularities in 
 Nature ! How often we fancy that the chain is broken just because we 
 cannot see each link in the chain and because the incompleteness of 
 our knowledge prevents our seeing the symmetry of the whole ! When- 
 ever it is given to a man to see harmony where previously only discord 
 was apparent, or to find a relationship where formerly it was only 
 guessed at but could not be proved, then, in my opinion, is it the 
 urgent duty of such an one to show the harmony he sees in natural 
 phenomena. He should do this for many reasons, not the least 
 important of which is that the discovery of such harmony gives us all 
 courage to tread the path of Truth. The discovery of new harmony, 
 however small, lifts for a moment the shadow which ordinarily over- 
 hangs the Truth and hides it from our gaze." 
 
 These golden words of so great a scientist often recur to the minds 
 of the authors of the present volume, when they realise that, at last, 
 it has been permitted to them to remove completely the artificial 
 division set up by Proust, more than a century ago, when he divided 
 matter into "combinations" and "dissolutions," the former including 
 definite chemical " compounds " and the latter molecular " combina- 
 tions " in which the proportions appeared to be so irregular as to be 
 the sport of chance, i.e. substances which do not appear to obey the 
 law of constant proportions. 
 
 Soon after Proust had set up this artificial division (i.e. his system- 
 atic classification of matter into compounds and " mixtures "), Ber- 
 thollet opposed it and asked the following pertinent questions : 
 "Wherein shall we seek the reason why the ' compounds ' are formed 
 by the uniting of their constituents in constant proportions, whilst in 
 4 combinations ' the ratios are variable and apparently due to 
 chance ? Is the force which effects the union of a metal with sulphur 
 or oxygen different from that which forms more complex substances 
 out of these simpler compounds ? " 
 
 From the nature of these two questions it is clear that Berthollet 
 was fully convinced of the essential unity of the natural law involved. 
 There is an old philosophical dictum natura nonfacit saltum, quoted by 
 Darwin in introducing his Theory of Descent, in respect of the Harmony 
 which pervades the Cosmos, about which Newton wrote in so illumin- 
 
S04 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 ating a manner, and regarded by Berthollet, in his classical " Essai de 
 statique chimie," as applying with equal truth to the world of atoms. 
 This idea was so firmly fixed in the mind of Berthollet that he did not 
 hesitate to oppose Proust's dualistic conception and to insist on the 
 unity of the force of chemical attraction. At the same time, it is only 
 fair to state that Proust himself recognised something of the truth in 
 Berthollet's contention when he wrote : " I do not wish to press this 
 matter unduly lest I lose my way in a place which is not too brightly 
 illuminated by facts. The forces which produce both kinds of com- 
 pounds may or may not be the same, but it is at least true that the re- 
 sults are so different that they must not be grouped indiscriminately, even 
 though Nature itself has placed only an indefinite line between them." 
 
 Since it has been shown in innumerable cases that the law of 
 constant proportions which Proust applied to only a limited number 
 of substances is capable of indefinite extension since Dalton's 
 discovery of the law of multiple proportions, the statement of Ber- 
 thollet quoted above becomes increasingly important and efforts 
 should be made with increasing earnestness to establish the general 
 application of the Proust-Dalton law. Even if this cannot yet be 
 accomplished because of the many substances, such as glass, colloids, 
 etc., which are regarded as solid solutions, it does not prove exceptions 
 to natural laws, for no such exceptions can exist ; it is merely the 
 incompleteness of chemical theory which prevents the natural laws 
 involved from being properly understood or defined so far as these 
 apparent exceptions are concerned. 
 
 It is certainly surprising that none of the critics have pointed out 
 this advantage of the H.P. theory, and it is even more remarkable 
 that Allen and Shepherd should consider it a drawback of the theory. 
 Thus, they state in their review of the German edition of this work: 737 
 " An important fact in this connection has been . . . completely 
 overlooked. We are now in possession of many facts which show that 
 it is never wise to assume that silicates are chemical compounds. For 
 instance, to take a well-known example, the felspars are solid solutions 
 and any theory of structure to be complete must show the permanency 
 which is characteristic of the properties of true compounds as distinct 
 from the maxima and minima of mere groupings." These critics 
 further state that: "The authors never distinguish, and this is most 
 important, between purely chemical changes and changes of an 
 entirely physical nature." 
 
 The reply to these statements is that there is no need specially to 
 distinguish between chemical compounds and the so-called isomorphous 
 mixtures or solid solutions, as the distinction is perfectly clear ! It 
 would also have been much better if the critics had quoted at least a 
 few of the " many facts which show that it is never wise to assume 
 that silicates are chemical compounds," so that the precise value of 
 this statement of theirs might be ascertained. As only the felspars are 
 mentioned, any criticism must, for the moment, be restricted to these. 
 
INFLUENCE OF SIDE-CHAINS ON CRYSTALLINE FORM 305 
 
 Now, on studying the structural formulae of the felspars (p. 297) 
 carefully, it is easy to see that almost without exception they are 
 referable to one type. These formulae also show how various sub- 
 stances in other groups of siliceous compounds can be formed from 
 the felspars or vice versd ; they indicate the physical relationship of all 
 these compounds with reference to crystalline form, optical properties, 
 specific gravity, etc. On the other hand, the assumption that felspars 
 are " solid solutions " explains none of these things. How can Allen 
 and Shepherd explain in the light of then* theory of solid solution the 
 properties of felspars which are described in paragraphs numbered 2, 
 3 and 4 on page 298 ? For what reasons should the felspars be treated 
 in a different manner from other silicates and not regarded as definite 
 chemical compounds ? Is the force which, in the case of certain 
 silicates, forms definite chemical compounds, different from that which 
 forms the so-called " solid solutions " from simple silicates ? 
 
 Many fights between chemical dualism and monism have occurred 
 in the past and the victory has always been completely in favour of 
 monism. Sooner or later, the dualistic conception of the constitution 
 of compounds, which was published by Proust more than a century 
 since, will go the way of all other dualistic theories. 
 
 C. The Dependence of the Geometrical Constants on the Side-chains 
 It has been repeatedly shown in previous pages (cf. p. 216) that 
 the addition of bases, " water of constitution " or " water of crystal- 
 lisation," in the form of side-chains to hexites or pentites weakens the 
 bond between the units forming the hexites or pentites, whilst their 
 removal or splitting off strengthens the bonds. In other words, by 
 adding bases in the form of side-chains, part of the valencies in the 
 ring or core is destroyed. According to the S.H.P. theory, this must 
 influence the geometrical constants a : b : c and a, ft and y. Crystallo- 
 graphic experiments, previously made, are in agreement with this 
 consequence of the theory. 
 
 The influence of the " water of crystallisation " on the crystalline 
 form of a compound has long been recognised ; thus, the metallic sul- 
 phates with 5 H 2 O are known to differ in form from those with 7 H 2 0. 
 In this connection a series of uranium-acetates prepared by Rammels- 
 berg 656 are interesting. These have the general formula : 
 
 Ac 
 
 U I "aq., 
 
 I , /r 
 
 ArN'r 
 
 or 
 
 r 
 
 Ac 
 
 U 
 
 aq. 
 
 r (r= J RO) 
 A. B. 
 
306 CONSEQUENCES OF STEREO-HEXITE-PENTTTE THEORY 
 
 3 RO 6 U0 3 9 (CH 3 CO) 2 aq. 3 RO 6 U0 3 9 (CH 3 CO) 2 aq. 
 R = Mg, Zn, Ni, Co, Cd, Ca, Sr, (NH 4 ) 2 , K t> Ag 2 . 
 
 Of the possible compounds of this series, Rammelsberg prepared 
 the following : 
 
 a :b : c 
 
 1. 3 MgO 6 UO. 9 (CH 3 CO) 2 12 H rhombic 0.7468 : 1 : 0.5082 
 
 3MnO -6U0 8 -9(CH 3 CO) 2 0-12H 0.7536:1:0.4957 
 
 II. 3 MgO -6U0 8 -9(CH 3 CO) 2 0- 7H 0.8946:1:0.9924 
 
 3ZnO -6U0 8 -9(CH 3 CO) 2 0- 7H 0.8749:1:0.9493 
 
 3 NiO 6 UO 3 9 (CH 3 CO) 2 7 H 0.8670 : 1 : 0.9500 
 
 3CoO -6U0 3 -9(CH 3 CO) 2 0- 7H 0.8756:1:0.9484 
 
 III. 3MnO 6UO i -9(CH,CO),0- 6 H! 0.6330:1:0.3942 
 3CdO -6U0 8 -9(CH 3 CO) 2 0- 6H 0.6289:1:0.3904 
 
 IV. 3CaO -6U0 8 -9(CH 3 CO) 2 0- 6H 0.9798:1:0.3865 
 
 3SrO -6U0 3 -9(CH 3 CO) 2 0- 6H 1:0.3887 
 
 V. 3 (NH 4 ) 2 6 U0 3 9 (CH 3 CO) 2 1 : 0.4708 
 
 3 K 2 O 6 U0 3 9 (CH 3 CO) 2 O 1 : 1.2830 
 
 3Ag 2 O -6U0 3 -9(CH 3 CO) 2 1:1:5385 
 
 The results of crystallographic investigations of these urano- 
 acetates are in remarkable agreement with the S.H.P. theory. 
 
 The theoretical possibility of two series (A and B) of these urano- 
 acetates is confirmed by the existence of two series of compounds 
 
 (III and IV) with 6 H and with a different a : b : c ratio. 
 
 If the series I and II are compared it will be seen that on the loss 
 
 of 5 H the c-axis is largely increased, being, in fact, almost doubled. 
 A specially interesting example of the change in the geometrical 
 constants effected by adding or subtracting side-chains is found in the 
 humite series studied by Penfield and Howe, to which attention has 
 been drawn by P. Groth 657 , who assigns to them the folio whig structural 
 formulae : 
 
 Prolektite [SiO J Mg [Mg(F. OH)], 
 
 Chondrodite [Si0 4 ] 2 Mg 3 [Mg(F. OH)] 2 
 
 Humite [Si0 4 ] 3 Mg 5 [Mg(F. OH)], 
 
 Clinohumite [SiOJ 4 Mg 7 [Mg(F. OH)], 
 
 From the composition of these minerals it follows that each member 
 of the series differs from the previous one by Si0 4 Mg 2 . The addition 
 of this group always effects a definite change in the c-axis whilst the 
 parameter a : b remains practically unchanged. 
 
 The geometrical constants of these compounds are : 
 
 Prolektite Monocl. prism. 1.0803 
 
 Chondrodite 1.0863 
 
 Humite Rhomb, bipyr. 1.0802 
 
 Clinohumite Monocl. prism. 1.0803 
 
 3 x 0.6287 90 0' 
 
 5 x 0.6289 90 0' 
 7 X 0.6291 
 
 9 x 0.6288 90 0' 
 
INFLUENCE OF SIDE-CHAINS ON CRYSTALLINE FORM 307 
 
 There is here a surprising regularity which may be expressed in the 
 form of a " law " : the c-axes of these minerals are in the ratio of 
 3:5:7:9. 
 
 According to the S.H.P. theory, and assuming the fluorine to be 
 replaceable by OH, the formulae of these compounds are : 
 
 Prolektite 18 MgO 6 SiO a 6 H 2 
 
 Chondrodite 15 MgO - 6 SiO 2 3 H 2 O 
 
 Humite 14 MgO 6 Si0 2 2 H 2 O 
 
 Clinohumite 13 MgO - 6 Si0 2 1 J H 2 (approx.) 
 
 The structural formulae of these compounds will then be : 
 3 1J 1 
 
 A A 
 
 oo po_/\_oo QO_/\_OO QO. 
 
 Si 
 
 aq, 
 
 00 00 '"* 00 00 * 00 
 
 3 ==Z 3 ='=3 3 = ! = 
 
 " ,.! 
 
 Si 
 
 Si 
 
 II I! II II 
 
 3 1J 1 J 
 
 Prolektite. Chondrodite. Humite. Clinohuniite. 
 
 In the compounds of the above series, the addition to or separation of 
 MgO only occurs in the direction of the c-axis. It is, therefore, clear 
 why only the c-axis undergoes a regular change, the ratio a : b re- 
 maining practically constant. 
 
 Of special interest are the topical parameters suggested by W. 
 Muthmann 763 and F. Becke 764 for comparing the chemical and crystallo- 
 graphic properties of substances. These topical parameters are a 
 combination of the crystallographic parameter with the molecular 
 volume ; they are derived from the spatial relations of the substances 
 concerned and show the relative distances of the molecules from each 
 other. 
 
 W. Muthmann has determined the topical axial ratios of the 
 following salts, to which he assigns the formulae : 
 
 KH 2 P0 4 
 
 (NH 4 )H 2 P0 4 
 
 KH 2 As0 4 
 
 NH 4 H 2 As0 4 
 
 and considers that the OK- or ONH 4 -groups, the residual atom and 
 the OH-groups are attached to the P atoms symmetrically in the chief 
 plane of symmetry. 
 
 J. H. van't HofF 65 endeavoured to explain the data obtained by 
 W. Muthmann by means of the following structural formula : 
 
 K 
 
 HO P OH 
 O 
 
308 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 in which the vertical line represents the main axis c. The substitution 
 of NH 4 for K increases the length of this axis, whilst the substitution 
 of As for P effects changes in the dimension in every direction. This 
 formula of van't Hoff's does not permit the data obtained by Muth- 
 mann to be predicted, nor does it show any relationship between 
 analogous phenomena. 
 
 In accordance with the H.P. theory, Muthmann 's formulae should 
 be multiplied by 6, so as to give : 
 
 A. (KH 2 P0 4 ) 6 = 3 K 2 6 H 2 3 P 2 5 
 
 B. (NH 4 H 2 PO 4 ) 6 = 3 (MH 4 ) 2 6 H 2 3 P 2 O 6 
 
 C. (KH 2 As0 4 ) 6 = 3 K 2 6 H 2 3 As 2 5 
 
 D. (NH 4 H 2 As0 4 ) 6 = 3 (NH 4 ) 2 6 H 2 3 As 2 5 
 
 In each case the formula represents the minimum molecular weights. 
 The structural formulae of the salts should be as follows : R represent- 
 ing K or NH 4 , the bonds with dots indicate OK-groups and the bonds 
 without dots the OH-groups. 
 
 X 
 \/ 
 
 3 R 2 6 H 2 3 X 2 5 
 
 This structural formula permits the following predictions to be 
 made : 1. The space between the molecules must increase or dimi- 
 nish in the same or almost the same proportion in all directions within 
 the crystal, if P as a whole is replaced in the ring by As or, conversely, 
 As by P, as the bond between the vertical and the horizontal axes is 
 influenced in the same manner. 2. The space between the molecules 
 can only change in the direction of a single axis, viz. the vertical or 
 main axis, if, in a phospho- or arseno-salt, potassium is replaced by 
 ammonium or vice versd, as these atoms are attached in the direction 
 of the vertical axis. 
 
 It is remarkable how fully the investigations of Muthmann confirm 
 the consequences of the S.H.P. theory. 
 
 According to Muthmann the space between the molecules is 
 increased in all directions in the crystal in almost exact proportion, if 
 the phosphorus in the phospho-salts mentioned above is replaced by 
 arsenic. The increase is practically the same with ammonium and 
 potassium, but if the potassium atom in potassium phosphate or 
 arsenate is replaced by an ammonium atom, the centres of gravity of 
 the units composing the crystal become more widely separated solely in 
 the direction of the main axis. 
 
STRUCTURAL FORMULA OF BENZENE 
 
 309 
 
 The Structural Formula of Benzene according to the S.H.P. Theory 
 
 From a study of the crystalline form of the benzene derivatives, 
 P. Groth 659 has discovered " laws " which are reminiscent of the humite, 
 phosphate and arsenate series previously described. The crystallo- 
 graphic investigation of a series of benzene derivatives has shown that 
 there are certain atoms and atomic groups which replace hydrogen in 
 benzene and its derivatives whilst only slightly altering the crystalline 
 form, so that the form of the new substance may be compared with the 
 original one. The change is of such a nature that, e.g. in rhombic sub- 
 stances, the ratio of two parameters (a : b) remains almost constant (with 
 the small difference which all isomorphous bodies show, as is the case 
 with the humite series), whilst only the third axis the c-axis 
 undergoes a notable change in value. The atomic groups OH and N0 2 
 act in this manner. It is probable that the substitution of a hydrogen 
 atom by these groups in benzene and its derivatives occurs in the 
 direction of the c-axis . An energetic reaction accompanies the substitu- 
 tion of a hydrogen atom in benzene and its derivatives by Cl, Br and 
 CH 3 which systematically changes the crystalline system into a less 
 regular one. This may be due to substitution in the direction of the 
 a- or 6-axis and not in that of the c-axis. 
 
 A large number of other examples might be given to show that the 
 addition of side-chains to (or their separation from) the molecule results 
 in a change in the geometrical constants of crystalline substances. 
 
 In connection with the foregoing arguments a few words respecting 
 the structure of benzene according to the S.H.P. theory are of 
 interest. 
 
 The structural formula of benzene * deduced from the S.H.P. 
 theory resembles the " diagonal formula " of Glaus 660 , viz. : 
 
 H C 
 
 H C 
 
 C H 
 
 C H 
 
 but one fact deserves prominence : according to the S.H.P. theory 
 the six hydrogen atoms in benzene do not all behave alike, J of them 
 (on the c-axis) acting differently from the rest (on the a- and 6-axes). 
 This consequence of the S.H.P. theory agrees with Groth's discovery 
 
 * The reader who wishes to refresh his memory will find an excellent statement of 
 the ordinary theories of the constitution of benzene in " Organic Chemistry," by W. H. 
 Perkin and E. Stanley Kipping, and in most text-books on organic chemistry. A. B. S. 
 
S10 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 that if the hydrogen atoms on the c-axis are substituted only these 
 are changed, whereas substitution of the hydrogen atoms in the a- and b- 
 axes is accompanied by a notable change in the system of crystallisa- 
 tion. If, on the contrary, all the hydrogen atoms in benzene are 
 assumed to be alike, Groth's discovery becomes inexplicable. 
 
 There is a more direct proof that one-third of the hydrogen or 
 carbon in benzene behaves differently from the rest in chemical 
 reactions, viz. the results of the investigations of Stohmann 661 and his 
 associates on the heat of combustion of the aromatic compounds and 
 their hydration products. These showed that the heat- values change 
 continually in the decomposition of di-hydro compounds, whilst the 
 increase in energy on the entrance of the first two hydrogen atoms in 
 the benzene ring is notably greater ; i.e. one-third of the carbons in 
 benzene behave differently from the rest. 
 
 That Kekule's formula for benzene needs modification is also clear 
 from the following : Ladenburg 662 was the first to point out that 
 Kekule's formula 
 
 CH 
 
 CH"' .YJH 
 
 CH 
 
 v 
 
 CH 
 
 CH 
 
 implies the existence of at least four bi-substitution products. 663 Of 
 these, three are the derivatives at the points (1, 2), (1, 3) and (1, 4), 
 including the assumed symmetry of the positions (1, 3) and (1, 5). 
 There is also at least one series of derivatives in the position (1, 6), 
 as this position is notably different from the position (1, 2) on account 
 of the double bond between the carbon atoms in the position (1, 6). 
 Glaus 664 therefore suggested the following formula for benzene : 
 
 CH 
 
 CH 
 
 \3 
 
 CH 
 
 CH 
 
 He argued from this that there are two kinds of valencies in benzene, 
 viz. (a) those in compounds produced from the periphery of the 
 hexagon, and (b) those formed from the diagonals of the hexagon. 
 From this structural formula which resembles that suggested for 
 benzene by the S.H.P. theory the existence of only three di- 
 substitution products of benzene is explained, and this number is that 
 actually found by experiment. 
 
 Another formula which represents the structural formula of benzene 
 
STRUCTURAL FORMULA OF BENZENE 811 
 
 in a manner very similar to the S.H.P. theory is the centric formula 
 devised by Armstrong 665 and v. Baeyer 666 : 
 
 H 
 
 H C 
 H C 
 
 C H 
 C H 
 
 which is really a modification of Claus' formula. Von Baeyer has also 
 proposed a centric formula with spatial representation. 
 Ladenburg's prism formula 
 
 H 
 
 H C 
 H C 
 
 C H 
 C H 
 
 was one of the first stereo-chemical formulae for benzene. Other stereo- 
 chemical formulae have been devised by R. Meyer 668 , Thomsen 669 , 
 Sachse 670 , Schmidt 671 , Vaubel 672 , Hermann 673 , Diamant 674 , etc. 
 
 It has frequently been pointed out in the foregoing pages that the 
 bond between the units of hexite and pentite radicles is weakened by 
 the addition of side-chains (see p. 216, etc.). From this it follows 
 that benzene and its derivatives must be more stable than hydro- 
 benzene and the hydro-derivatives of benzene. This consequence of 
 the theory is confirmed by the facts. The hydro-derivatives of benzene 
 have been shown by the investigations of v. Baeyer to differ consider- 
 ably from those which are not hydrated. For instance, di- and tetra- 
 hydro-derivatives were shown to have a marked olefine character. 
 Thus, phthalic acid is completely resistant to potassium permanganate 
 solution, but the di-hydrophthalic acids are oxidised by it. The 
 benzene nucleus is not sensitive to hydrobromic acid and oxidising 
 agents, but this resistance does not exist in the hydro-benzenes. 
 
 The stability of benzene which has been proved experimentally 
 is in direct contradiction to Kekule's formula. 675 
 
 That a close relationship exists between compounds of the aliphatic 
 
312 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 and aromatic series (c/. p. 270), as may be inferred from the S.H.P. 
 theory, has been proved by the work of Schiff 676 , Lessen and Zander 677 , 
 Horstmann 678 and Briihl 679 . From this it must be seen that the 
 formation of hydro-derivatives of olefinic and aromatic compounds is 
 analogous. 
 
 D. The Optical Properties of Crystals and the S.H.P. Theory 
 
 The physical properties of crystals are well known 680 to bear a 
 very close relationship to their morphological characters. Light, 
 heat and electricity operate in complete agreement in crystals, and 
 the crystal systems arrange themselves in the same manner. This may 
 be used as an argument in favour of grouping according to the optical, 
 thermic, magnetic and other properties of crystals. Hence, if the 
 optical properties of a crystal are known, it may be stated that each 
 geometrical plane of symmetry of a crystal is also a physical one and 
 that two crystallographic equivalent directions have also a physical 
 relationship.* 
 
 There are, however, exceptions to this rule : some crystals, for 
 instance, are regular and their physical properties indicate no isotropic 
 construction. In this connection the optical characters of crystals 
 are frequently curious. An interesting example of this is found in the 
 alum crystals : as substances which crystallise regularly they should be 
 optically isotropic, but Brewster 681 showed in 1816 that the alums 
 have a double refraction. Biot 682 , who has still further studied these 
 characteristics of the alums, confirms this view; The double refraction 
 of the alums has also been studied by Reusch 683 , E. Mallard 684 , F. 
 Klocke 685 , Brauns 686 and other observers. Several explanations have 
 been offered to account for their abnormal behaviour. The ordinary 
 theory of crystalline structure neither affords an explanation nor does 
 it give anything whereon one may be founded. Mallard 687 endeavoured 
 to explain the anomaly crystallographically by assuming a special 
 structure of the alum crystals, and regarded them as consisting of 
 several individuals of lower symmetry than that of the whole crystal. 
 Although several mineralogists have expressed their sympathy with 
 this view, others, such as F. Klocke 688 , disagree with it. Klocke 
 considered that the optical anomalies of the alums are due to a " state 
 of tension," but he regards the question as still open. 
 
 No less interesting is the cause of the rotation of the plane of 
 polarised light shown by some crystals ; there is ample reason for re- 
 ferring this to the chemical constitution of the crystals. This hypo- 
 
 * Von Federow has recently prepared a Table, comprising no less than 10,000 
 substances, the crystals of which have been adequately measured by skilled crystallo- 
 graphers. By means of this Table, von Federow declares it is possible to identify any 
 substance included in it when the crystals have been properly measured. The Table 
 is not available for general use, but in the hands of Prof. Federow it has proved very 
 successful. A brief account of Federow's theory is given in Tutton's " Crystallography 
 and Practical Crystal Measurement" (Macmillan). A. B. S. 
 
OPTICAL PROPERTIES OF CRYSTALS 
 
 thesis is confirmed by the enantiomorphism of the circular polarising 
 substances. 
 
 [Enantiomorphous crystals are those which have the same relation to each other 
 as an object has to its mirror-image, as will be seen by holding the sketch of crystal I 
 before a mirror, when the darkened faces, a, 6, will appear as in the sketch in crystal II 
 viewed directly, and vice versa.} 
 
 I. U. 
 
 Enantiomorphous Crystals. 
 
 As early as 1848, Pasteur 689 , in studying optically active tartaric acid 
 and the optically inactive racemic acid, discovered this relationship 
 between crystalline form and optical activity. Groth also regards 
 optical activity as entirely due to the structure of the smallest particles 
 of circular polarising crystals. He considers that if this optical 
 property is characteristic of the crystal molecule itself, the solution 
 must be saturated in order to produce optical rotation; as, unless the 
 particles in solution have a complexity comparable to that of the 
 crystalline molecules, no separation of the substance in a crystalline 
 state can possibly occur. With many substances, however, this is not 
 the case ; for instance, solutions of sodium chlorate show no optical 
 rotation, but only those crystals whose forms are such that they are 
 mirror-images of each other. 
 
 An apparently complete proof of this view is found in the interesting 
 observation of Reusch 690 on the production of circular polarisation in 
 mica plates. According to Reusch, if a large number (12-36) of 
 uniform thin plates of bi-axial mica are laid one above another so that 
 the plane of the (vertical) optical axis of each plate is turned to the 
 right through an angle of 120 with respect to the plate below it, this 
 combination of plates turns the plane of polarisation of a vertical 
 beam of light to the right, the combination behaving, in a polarisation 
 apparatus, in a manner similar to a plate of dextro-rotatory quartz cut 
 vertically to the axis. If the mica plates are turned through an angle 
 of 120 in the opposite direction, the combination is laevo-rotatory. 
 
 Pasteur's discovery respecting the crystalline forms of optically 
 active tartaric acid and the inactive racemic acid, the fact that some 
 substances only show circular polarisation effects when in the solid 
 state, and the property of the mica sheets discovered by Reusch, all 
 show that there is undoubtedly a relationship existing between optical 
 activity and the structure of crystals, though it has not yet been 
 proved that optical activity is entirely produced by the peculiar struc- 
 
314 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 ture of such crystals. The fact, pointed out by Groth, that some 
 substances only rotate the plane of polarisation when in the solid 
 form, is not a complete proof, as on entering into solution equivalent 
 amounts of laevo- and dextro-rotatory substances may be formed and 
 so make the solution inactive. As a matter of fact, Groth has found 
 that a solution of NaC10 3 in which laevo- and dextro-rotatory crystals 
 of this substance are dissolved, can deposit both laevo- and dextro- 
 rotatory crystals. 
 
 If the optical activity is entirely conditioned by the peculiar crystal- 
 line form of some substances, enantiomorphous crystals, such as the 
 regular tetrahedric or trapezoidal hemihedric substances, should 
 necessarily have the power of circular polarisation. This is not the 
 case. For instance, L. Wulff 691 has shown that lead, barium and 
 strontium nitrates, in spite of the regular tetrahedric form of their 
 crystals, i.e. their enantiomorphous constitution, have no effect on 
 the plane of polarisation either in the solid or dissolved state. A 
 further series of substances whose crystalline form is that of the 
 trapezoidal hemihedric substances did not show any optical activity 
 when examined by WulfL This fact implies that the cause of the 
 property of circular polarisation must be dependent on the chemical 
 constitution of the crystal nuclei, quite apart from the physical 
 structure of the crystal ; optically active substances must not only be 
 enantiomorphous, but must have a definite chemical structure. For 
 instance, lead, barium and strontium nitrates are truly enantiomor- 
 phous, but they do not possess the structure of optically active sub- 
 stances and they are, therefore, optically inactive. Hence it is neces- 
 sary to enquire what chemical structure is essential to render enantio- 
 morphous substances optically active. 
 
 It is probable that the optical anomalies of some regularly crystal- 
 lisable substances are of a constitutional nature, and if the chemical 
 factors, such as those which cause the optical abnormalities of the 
 alums, could be discovered, it is not improbable that these factors 
 would be the causes of circular polarisation. 
 
 The following facts show that chemical structure has an undoubted 
 influence on the optical properties of crystals : 
 
 Mallard, in his studies of the zeolites, has observed that, on pro- 
 longed heating, these slowly change their optical properties in con- 
 sequence of the steady loss of their water of crystallisation, i.e. by 
 changes in the side-chains, until finally the crystal has the properties 
 of the anhydrous substance. This condition continues if a re- 
 absorption of water is prevented, as by embedding in Canada balsam ; 
 but if the temperature reached has not been excessive and the crystal 
 is allowed to cool in moist air it will regain its water almost completely, 
 and, simultaneously with this, its optical properties. In this way 
 Mallard has found a direct proof for the dependence of the optical 
 characters on the chemical constitution. 
 
 In the case of circularising substances, it is noteworthy that Le 
 
OPTICAL PROPERTIES OF CRYSTALS 315 
 
 Bel 692 and van't Hoff 693 discovered, almost simultaneously, the fact 
 that all organic compounds which rotate the plane of polarisation of 
 light contain asymmetric carbon atoms, i.e. carbon atoms in which 
 each of the four valencies is saturated with a different group of atoms. 
 As it has been observed that all organic substances which are optically 
 active contain one or more asymmetric carbon atoms, it appears 
 probable that the source of optical anomalies and of circular polarisa- 
 tion may be due to this asymmetry or to an asymmetrical substitution 
 of the side-chains or of the hexite and pentite in some substances. 
 From this it follows that a potash alum of the structural formula 
 
 -A A/ 
 
 = I S I Al I S 
 
 3 K 2 12 H 2 - 3 A1 2 0, 12 SO, 10 H 
 
 will have a normal optical behaviour, i.e. it must be isotropic. If, 
 however, part of the potassium is replaced by sodium, lithium or a 
 similar metal, or if part of the aluminium is replaced by Fe'", Cr"', 
 Mn'", etc., or if part of the sulphur is replaced asymmetrically by 
 selenium, the crystalline form remaining unchanged, i.e. regular, these 
 substances will be optically aniso tropic. 
 
 In an analogous manner the source of circular polarisation may be 
 considered as due to the chemical structure of enantiomorphous 
 substances. 
 
 It is not surprising that Brauns 694 has shown experimentally that, 
 as a matter of fact, the pure alums are optically isotropic, but the 
 mixed ones are double refracting, i.e. anisotropic. According to 
 Brauns, all crystals of pure potash-alumina-alum and ammonia- 
 alumina-alum are optically isotropic, but those crystals which are 
 produced from solutions of the mixed substances are optically different 
 and show a double refraction. Crystals obtained from a solution 
 containing equal weights of ammonia- and potash-alum show, according 
 to Brauns, a very strong double refraction, are full of irregular cracks, 
 and, on removing them from the solution, they fall to pieces. On 
 representing the structure of such an alum by 
 
 the NH 4 -groups being marked + and the potassium atoms its 
 asymmetric structure is clear and the abnormal optical behaviour 
 of this alum, the irregular cracks in it, and the falling to pieces of the 
 crystals on removing them from the solution are rendered explicable. 
 
316 CONSEQUENCES OF STEREO-HEXITE-PENTITE THEORY 
 
 It is noteworthy that Brauns has observed faint circular polarisa- 
 tion phenomena, in consequence of which it is highly probable that 
 such asymmetric substitution is the cause of the optical activity of a 
 number of enantiomorphous substances. As a matter of fact, the 
 micas from which Reusch built his optically active compounds are 
 silicates in which both the side-chains and the aluminium hexites and 
 pentites are composed of different constituents which are often 
 asymmetrically arranged in the molecule (see " Micas " in Appendix). 
 
 Some substances, such as quartz, are optically active and, without 
 exception, possess enantiomorphous crystalline forms. Their structural 
 formulae, as derived from ultimate analyses and other studies, must be 
 asymmetric if this theory of circular polarisation is correct and of 
 general application. 
 
 The Bravais-Frankenheim theory of crystalline structure does not 
 indicate the enantiomorphous forms. Sohncke sought for the source 
 of optical rotation of some crystals and of the appearance of these in 
 enantiomorphous forms in an inner structure of the same, which is 
 similar to Reusch J s mica arrangement. The theory of crystalline 
 structure may be enlarged in this direction. The optically active 
 crystals consist, according to him, of step-like lamellae which are 
 optically bi-axial and do not show double refraction in the axis of 
 rotation, but show circular polarisation effects. 
 
 The S.H.P. theory may also be enlarged in the same sense. The 
 units may be so arranged that a series of double pyramids (see P and 
 P', pp. 286 and 287) P, P', P", P'" . . . with the surfaces ABDE, 
 A'B'D'E', A"B"D"E" ... are produced. These double pyramids 
 P, P', P" . . . have axes AD, ATX, A" D" . . . BE, B'E', B"E" . . . 
 arid are so placed that each of their axes in the base forms an angle of 
 120 in the direction of the movement of the hands of a clock, or 
 vice versa with the corresponding axes of the next base, i.e. AD with 
 A'D', A'D' with A"D", A"D" with A'"D'". In the first case dextro-, 
 and in the second laevo-rotatory crystals are produced, provided that 
 the crystals are also chemically asymmetric. 
 
 The S.H.P. theory thus provides a single explanation for the cause 
 of circular polarisation in both organic and inorganic compounds. 
 
 E. The Dependence of the Geometrical Constants on the Temperature 
 
 The bonds between the nuclei of the radicles (i.e. the hexites and 
 pentites) and between the radicles and the side-chains are loosened by 
 the addition of bases, water of constitution and of crystallisation and 
 on raising the temperature. Hence, on altering the temperature the 
 geometric constants must be influenced, as they have a close relation- 
 ship to the valency-forces. The consequence of the theory is also 
 confirmed by the facts. 
 
 Mitscherlich 695 , G. Rose 696 , F. de Filippi 697 , Frankenheim 698 and 
 others have shown that when aragonite is heated to a suitable 
 
MOLECULAR VOLUMES 
 
 317 
 
 temperature it is converted into calcspar. Hauy 699 has also observed 
 that on heating aragonite to a dull red heat it falls to powder, and 
 Haidinger 700 represented this process as a conversion of aragonite 
 into calcspar. G. Rose 701 has shown that calcite and also aragonite are 
 formed from warm solutions of CaC0 3 and that, at higher temperatures, 
 only calcite is formed. C. Klein 702 has made the interesting observa- 
 tion that a plate cut from aragonite in a direction vertical to the 
 principal axis becomes optically monoaxial and has a negative double 
 refraction when heated, i.e. the plate assumes the characteristic 
 properties of calcspar when warmed. 
 
 The changes of the crystalline forms of substances on raising their 
 temperature has been observed in numerous cases by O. Lehmann 703 , 
 who has examined two groups of polymerised substances, of which : 
 
 1. The members of one group are converted, with absorption of 
 heat, into another modification ; on cooling, the original form (en- 
 antio tropic modification) is reproduced and heat is evolved. 
 
 2. The members of the other group are stable and labile modifica- 
 tions which differ from the enantiotropic substances and are not 
 converted into other forms on alteration of the temperature. 
 
 F. Molecular Volumes and the S.H.P. Theory 
 
 It follows from the S.H.P. theory that the molecular volumes of 
 analogously constituted substances cannot be identical, as the affinities 
 between the various nuclei must differ from each other. 
 
 An interesting confirmation of this consequence of the theory is 
 found in the results of investigations of the molecular volumes of a 
 series of alums by O. Petterson 704 , which are shown in the following 
 Table : 
 
 Sulphate Alums 
 
 Mol. 
 Vols. 
 
 Selenate Alums 
 
 Mol. 
 Vols. 
 
 Differ, 
 between 
 Vols. 
 
 KiH 4 (S-Al-.) 
 
 10 H 
 
 541.6 
 
 K 6 H 24 (Se-Al-Se) 
 
 10 H 
 
 568.0 
 
 26.4 
 
 (NH 4 )OHJ 4 (S-A1-S) - 
 
 10 H 
 
 552.2 
 
 (NH 4 )H 4 (Se-Al-Se) 
 
 10 H 
 
 578.6 
 
 26.4 
 
 Rb 8 H 4 (S-Al-S) 
 
 10 H 
 
 551.0 
 
 Rb<jH|j 4 (Se-Al-Se) 
 
 10 H 
 
 576.2 
 
 25.2 
 
 Cs 6 H 4 (S-Al.S) 
 
 10 H 
 
 569.2 
 
 Cs 6 H 4 (Se-Al-Se) 
 
 10 H 
 
 595.6 
 
 26.4 
 
 Kj>H 24 (S-(>S) 
 
 10 H 
 
 542.2 
 
 KH 24 (Se-Al-Se) 
 
 10 H 
 
 571.0 
 
 28.8 
 
 (NH 4 ) 6 H| 4 (S-Cr-S) 
 RbgH 4 (S-Cr-S) 
 
 10 H 
 10 & 
 
 553.6 
 554.6 
 
 (NH 4 ) 6 Ho 4 (Se-Al.Se) 
 RbH 4 (Se-Al-Se) 
 
 10 Bt 
 10 H 
 
 577.4 
 576.8 
 
 23.8 
 22.2 
 
 T1H 24 (S-(>S) 
 
 10 H 
 
 554.2 
 
 TlH 2 4 (Se-Al-Se) r 
 
 10 H 
 
 576.6 
 
 22.4 
 
 From this Table it may be seen that not only are the molecular 
 volumes of different alums not identical, but that there is a striking 
 regularity in the difference in the molecular volumes caused by the 
 substitution of selenium for sulphur. 
 
Summary and Conclusions 
 
 IN the foregoing pages an attempt has been made to obtain a glance at 
 the structure of the silicon compounds . After a critical examination 
 of existing theories which have been proposed for the representation of 
 the structure of the aluminosilicates and the silicates generally, it has 
 been found that the conception of the aluminosilicates as complex 
 acids or salts of complex acids agrees best with the facts. The 
 reactions of the aluminosilicates can only be understood if both 
 alumina and silica are regarded as playing similar roles in the silicates, 
 i.e. the roles of acids. A number of properties appear, however, to 
 contradict the theory of the aluminosilicates as complex compounds, 
 and this conception does not enable any systematic arrangement to 
 be made of all the aluminosilicates in spite of the undoubted genetic 
 relationship between them. 
 
 It is very surprising that scarcely any of the critics of the German 
 edition of this work have paid any attention to the main thesis that 
 the silicates, or more correctly the aluminosilicates, should be classed 
 with the complex acids. Yet it is stated quite definitely on page 30 : 
 " It is, however, not improbable that these objections (i.e. to the sixth 
 hypothesis) are only apparent, and that they would be completely 
 overcome if the manner in which the atoms in the anhydrides of the 
 aluminosilicates are bound to each other were known. By the use of a 
 suitable hypothesis for the structure of these anhydrides a confirmation 
 of this statement may be found. The authors of this present volume 
 have actually formulated such a hypothesis, and its nature and the 
 conclusions to be drawn from it form the subject-matter of the following 
 pages." 
 
 On page 62 it is stated that: "The conclusion has already (see pp. 
 22 and 26) been reached that, of all the theories devised for showing 
 the constitution of the aluminosilicates, the one which agrees best 
 with the facts is that which assumes that these compounds are complex 
 acids and the corresponding salts." 
 
 On page 63 it is stated that : "The conception of the alumino- 
 silicates as complex acids thus agrees excellently with the experi- 
 mental results." 
 
 On pages 79-102 it is shown that the molybdenum and tungsten 
 complexes, i.e. the complex acids and their salts, are par excellence true 
 analogues of the aluminosilicates and agree perfectly with structural 
 formulae which are fully analogous to those used for the alumino- 
 silicates. 
 
 318 
 
SUMMARY 319 
 
 The foregoing quotations, and the present work as a whole, show 
 clearly that, quite apart from the hexite-pentite theory, the view that 
 aluminosilicates are complex acids and salts is the foundation on which 
 a knowledge of the constitution of these substances must be based. 
 Yet this fact, as already remarked, does not appear to have been 
 noticed by a single critic. Thus, in a review by J. J. P. 766 it is stated 
 that : "The conception of hexite and pentite radicles (ring-compounds 
 with 5 or 6 Al- or Si-atoms and a number of 0-atoms) is the foundation 
 of a systematic study of the silicates." 
 
 Stremme 767 commences with the view that the hexite-pentite 
 theory is the sole foundation of the present volume, and then reaches 
 the remarkable conclusion that the chief difficulty in mineral chemistry 
 the explanation of the extraordinarily great variations in the com- 
 position of the silicates becomes " playfully easy," "it is only 
 necessary to introduce new hexite and pentite groups into existing 
 combinations." He then stated that : " In not a single case is it shown 
 that even one silicate must necessarily contain a hexite or pentite 
 group." 
 
 In reply to this criticism, which completely overlooks the complex 
 nature of the aluminosilicates, it may be well to remark that the H.P. 
 structural formulae of the aluminosilicates have been devised in 
 accordance with definite rules, and in no case have " new hexites or 
 pentites " been introduced in a haphazard manner. The proof that 
 the aluminosilicates have the constitution indicated by the H.P. 
 theory (i.e. that they contain hexites or pentites of silicon and 
 aluminium which are arranged in accordance with definite laws) has 
 been published in the customary scientific manner, as everyone who will 
 read it impartially must admit. The theoretically possible formulae 
 were first set down, and the consequences deducible from them were 
 then compared with the available experimental evidence. Stremme 
 terms this " not proved," and his contention might be sound if the 
 experimental evidence did not agree with the logical conclusions from 
 the theory. As a matter of fact, the agreement is remarkably close. 
 If Stremme or any other critic can find a better method of testing a 
 theory than the one adopted in the present volume, he would render 
 an inestimable service to mankind if he would publish it. 
 
 The method adopted by this critic to show the " worthlessness " 
 of the H.P. theory could be easily used to upset the most firmly- 
 established theories. For example, on what foundations are the atomic 
 theory, the benzene theory and the theory of dissociation based ? 
 Surely they have been accepted as the result of entirely analogous 
 methods of argument to those used in the present volume ! 
 
 C. H. Desch 736 has overlooked the fact that the main foundation of 
 this exposition of the constitution of aluminosilicates is the fact of 
 their complex nature, inasmuch as he states that " the felspars, the 
 hardening of cements, the hydra tion of zeolites . . . are dealt with 
 exclusively from a structural chemical point of view." 
 
320 SUMMARY 
 
 A further criticism of Desch's views will be found on reference to 
 the Name Index. 
 
 Allen and Shepherd 737 also appear to have completely overlooked 
 the fact that the complex nature of the aluminosilicates is the essential 
 basis of the constitution attributed to them by the authors of the H.P. 
 theory,. and it appears strange to them that the structure of the complex 
 compounds of tungsten, vanadium and molybdenum should also be 
 described in the present volume. It is, nevertheless, very remarkable 
 that Allen and Shepherd have overlooked this fact, or even that they 
 could overlook it, as they specifically refer to "an excellent review of 
 previous theories of the structure of silicates and a proof of their 
 insufficiency " contained in the present work. Yet in this review it 
 is clearly shown that the starting point of any theory of alumino- 
 silicates must be based on their complex nature. It is the neglect of 
 this which leads Allen and Shepherd to oppose the application of 
 the new theory to Portland cements. If they had only seen that the 
 aluminosilicates are complex acids or the corresponding salts, they 
 must have realised the a priori probability of the existence of highly 
 basic calcium aluminosilicates, i.e. they must have reached a concep- 
 tion of the constitution of Portland cements which agrees with the one 
 herein published. If a theory shows the possible existence of these 
 substances, and all their properties agree with the structural formulae 
 which are based on the theory, there is no reason to doubt the correct- 
 ness of the constitutions thus formulated. 
 
 Manchot 775 , alone of all the critics, refers to the complex nature of 
 the aluminosilicates. From his statement "It is in any case worth 
 consideration whether it can be proved that among the silicates as in 
 other branches of chemistry the number 6 plays so special a part " 
 it follows that he considers that the new theory cannot in any way be 
 regarded as properly supported by facts. This critic should, however, 
 state, at the earliest opportunity, how large must be the mass of facts 
 in support of a theory before he would consider that theory established. 
 If his attitude in his own researches may be regarded as satisfactory 
 to himself, he will doubtless be interested to refer to an investigation he 
 made in 1905 into the constitution of silicides and published in the 
 "Annalen der Chemie," 1905, 3J$, 356-363. In this instance this 
 investigator did not hesitate to state that these compounds form 
 hexites, notwithstanding that he had only a single fact upon which to 
 rely for his conclusion, viz. the behaviour of these substances towards 
 hydrofluoric acid. Yet when he comes to review the German edition 
 of the present work, he considers that the innumerable facts and the 
 whole mass of available experimental evidence are not sufficient to 
 establish the hexite formation of the silicates ! The number and 
 importance of these facts and the manner in which this critic uses his 
 own experimental results in criticising the constitutional formulae of 
 the silicates quietly passing over in silence those which may happen to 
 agree with the theory he is criticising is highly significant (see p. 273). 
 
SUMMARY 321 
 
 The H.P. theory is the first one enabling structural formulae to be 
 devised in agreement with the conception of the aluminosilicates as 
 complex compounds, which is free from the drawbacks of the 
 earlier theories, is capable of being used in the systematic arrange- 
 ment of all the silicates and also enables a series of properties 
 of the aluminosilicates to be predicted a priori, which have, so 
 far as they have been investigated experimentally, been fully con- 
 firmed. 
 
 Thus the structural formulae of the silicates devised by means of 
 the H.P. theory have led to the remarkable prediction that all the 
 aluminium and silicon atoms in the aluminosilicates will not behave 
 exactly alike when examined chemically and physio-chemically, and 
 that atoms occupying certain positions in the molecule will behave 
 differently from the rest. This consequence of the theory is fully 
 confirmed by the available experimental material, and particularly 
 by the work of Thugutt, Silber and others. 
 
 The agreement between the minimum molecular weights which 
 may be inferred from the H.P. theory and those found experimentally 
 is also important, particularly as regards the results obtained by 
 Thugutt on a series of aluminosilicates such as orthoclase, nepheline, 
 and the sodalites. 
 
 Considerable importance also attaches to that consequence of the 
 H.P. theory which states that chemical compounds may contain 
 various kinds of combined water " water of constitution " and 
 " water of crystallisation " the first being acid- water and the second 
 basic-water, and to the agreement of this consequence with the 
 facts ascertained experimentally such as Clarke's studies of the 
 zeolites. 
 
 The H.P. theory is not only applicable to the representation of the 
 structure of the aluminosilicates, but to the complex acids generally. 
 According to the investigations of Gibbs, Blomstrand, Pechard, 
 Parmentier, Kehrmann, Friedheim and others, complex acids are 
 produced by the union of one acid with another, e.g. of molybdic 
 acid with vanadic, phosphoric, antimonic or arsenic acid; and of 
 aluminic acid with phosphoric, vanadic, molybdic, sulphuric or 
 tungstic acid. By means of the H.P. theory the structure of all the 
 various complex acids and their salts can be shown on a priori grounds. 
 This theory also shows that a genetic relationship must exist between 
 the various complex acids of the same class, e.g. between all the 
 aluminosilicates, all the aluminophosphates, all the aluminosulphates, 
 and between all the salts of the complex acids of the same class. As a 
 matter of fact, such a relationship does exist, as may be seen on 
 examination of the available experimental results. 
 
 It is specially important to observe the fact that the addition of a 
 basic or other side-chain weakens the bonds of the nucleus, and that 
 the most stable types of the complex acids are those in which the ratio 
 of the acid-forming atoms is 1 : 1 ; thus, the most stable aluminosilicates 
 
322 SUMMARY 
 
 are those with a ratio of A1 2 3 : Si0 2 =l : 2 ; the most stable vanado- 
 tungstates are those in which V 2 5 : WO 3 =1 : 2. 
 
 The H.P. theory is also of value in ascertaining the constitution of 
 several aluminosilicates of great technical importance, such as clays, 
 ultramarines, Portland cements, slag cements, porcelain cements, etc. 
 The clays are of great technical value because they are a raw material 
 used in the production of pottery, cement, ultramarines, etc., and 
 they are also of great theoretical importance because they constitute 
 some of the various aluminosilicic acids whose existence may be inferred 
 from the H.P. theory. The behaviour of clays towards strong acids 
 (the so-called " rational analysis "), the cause of the plasticity of clays 
 and the changes which occur on burning may all be explained by 
 means of the H.P. theory. Innumerable investigations have been 
 made in order to ascertain the constitution of the ultramarines. The 
 H.P. theory supplies a hypothesis from which the structure of the 
 whole of the theoretically possible substances of the ultramarine class 
 may be derived ; a large number of these compounds are already 
 known to exist. On the other hand, no ultramarines have yet been 
 found which, according to the theory, are theoretically impossible 
 (such as those in which A1 2 3 : Si0 2 = 1:6). The ultramarine theory, 
 based on the more general H.P. theory, is in entire agreement with the 
 experimental results of the valuable work of Hoffmann, Heumann, 
 Philipp, Szilasi, Gmelin and others. The experimental work of 
 Guckelberger on the minimum molecular weight of some ultra- 
 marines is in remarkable agreement with the H.P. theory and is fully 
 confirmatory of the theoretical inferences from it. 
 
 Innumerable attempts have also been made to ascertain the 
 structure of Portland, slag, porcelain and other silicate cements and 
 especially to explain the reactions which occur during the hardening 
 of these cements. These and other problems find a clear and simple 
 solution when once the structure of the silicates has been ascertained 
 by means of a suitable theory. As a matter of fact, the H.P. 
 theory has led to conceptions of the structure of cements which 
 not only agree with experimental observations, but also permit 
 of very full prognostications in regard to the possibility of solving 
 the great problem of the use of cement in sea-water and coastal 
 masonry. 
 
 The new H.P. theory has proved to be of special value in ascertain- 
 ing the structure of the porcelain (dental) cements, i.e. those compounds 
 which are both theoretically and practically important on account of 
 their extended use in dentistry. 
 
 The poisonous action of some of these cements has been studied, 
 and the H.P. theory shows which portion of these cements has a toxic 
 action and it indicates how their poisonous nature may be destroyed 
 and the cements rendered quite harmless. To solve this obviously 
 physiological chemical problem it is necessary to study the toxines 
 generally in order to ascertain the nature of their actions and the 
 
SUMMARY 323 
 
 causes of the poisoning. Ehrlich's theory of the toxines on the one 
 hand and the H.P. theory on the other combine to solve the problem 
 of the poisonous nature of many porcelain cements and show clearly 
 which of the available cements are toxic, or at least risky, and which 
 are harmless. 
 
 The aluminosilicates, generally speaking, cannot be satisfactorily 
 studied because of their great resistance to reagents, few of the ordinary 
 methods of investigation being available. Yet, by means of the H.P. 
 theory, it is possible to produce a theory of such general application 
 that, with the aid of modern methods of investigation, the constitution 
 of all the silicates may be ascertained. For instance, the results of 
 physical and chemical researches on the silico-molybdates by 
 W. Asch are in complete agreement with the H.P. theory. This 
 agreement between the facts and theory is very striking in the 
 case of the alums and chromo-sulphuric acids which have been 
 specially studied in a chemico-physical manner by Recoura and 
 Whitney. 
 
 There can be no doubt that Nature has formed all substances 
 according to monistic laws. Hence the probability of the H.P. theory 
 being extended so as to make it applicable as a general chemical 
 theory. 
 
 An attempt thus to enlarge the scope of the H.P. theory, though 
 made on only a small scale, has led to a new theory of acids, new views 
 on the constitution of solutions and new views of the structure of 
 carbon compounds. 
 
 The H.P. theory itself does not take cognisance of the fact that 
 atoms exist in space; consequently it required extension and com- 
 bination with the modern theory of the structure of crystals in order 
 to convert it into a general stereo-chemical theory. This has been accom- 
 plished to the extent that, by means of the " hexite-pentite law " 
 (p. 289), the stereo-hexite-pentite theory (abbreviated to " S.H.P." 
 theory) is capable of development into a general theory of chemical 
 compounds. The S.H.P. theory has proved to be of great value ; it 
 helps to explain many puzzling properties of crystals, confirms Hauy's 
 law of relationship between crystalline form and chemical composition, 
 permits the prediction of isomers of chemically allied substances 
 (Mitscherlich) and solves the problem of the structure of the so- 
 called isomorphous mixtures. Thus, the H.P. theory may be compared 
 to a bridge between the realms of organic and inorganic chemistry, 
 and the S.H.P. theory to an indivisible bond between chemistry and 
 the allied sciences of physics and crystallography. 
 
 The S.H.P. theory appears to be particularly valuable when 
 it is compared with existing theories of the constitution of 
 chemical compounds. It is then seen that many modern theories 
 are, in a sense, only portions of the new theory and may be inferred 
 from it. 
 
 In a review of the German edition of the present work by Stremme 767 
 
324 SUMMARY 
 
 the following remark occurs : "In short, an attempt is made to 
 develop a Chemistry of Silicon corresponding to that of Carbon such 
 as has so frequently been attempted by others." As a matter of fact, 
 the view that Nature forms substances in accordance with monistic 
 laws, permits many applications of the results of the study of organic 
 compounds (including their structural formulae) to inorganic substances. 
 The critic must therefore ascertain what beneficial results (if any) have 
 resulted from the present investigation and whether previous investiga- 
 tions are completely analogous to it. He is compelled to deny the 
 analogy if he compares the results of this investigation with previous 
 ones. In order to show this more clearly, two investigations of the 
 relationship between the compounds of silicon and carbon, both of 
 great importance to a study of the structure of silicates, may here be 
 
 critically examined, viz. that of A. Safarik 768 and that of W. Ver- 
 nadsky 769 . 
 
 A. Safarik has endeavoured to find a complete analogy between 
 silicates and organic compounds and has assumed that the silicates are 
 open or closed ring-compounds such as are found in the aliphatic and 
 aromatic compounds of carbon. This analogy between silicon and 
 carbon, the former being a constituent of the inorganic crust of the 
 earth and the latter the foundation of all organic nature, " thus 
 assumes a new and deeper significance." In addition to this 
 
 analogy there is, according to Safarik, a difference between the 
 compounds of silicon and carbon inasmuch as in the silicates silicon 
 is bound to silicon through oxygen and the polyvalent metals, whilst 
 in the organic compounds there is a direct bond between carbon and 
 carbon. 
 
 A glance at Safarik's formula shows at once that it differs greatly 
 from those derived from the H.P. theory. The necessary explanatory 
 
 support is lacking for Safafik's theory of the silicates, and for this 
 reason it cannot be applied to the silicates as a whole. An important 
 disadvantage of his structural formula is due to the fact that 
 it is not based on any natural law and that it contains a dualism, 
 the origin of which may be found in the present dualistic con- 
 ception of organic chemistry, viz. the division of organic compounds 
 into an aliphatic and an aromatic series. The result is that 
 this theory, notwithstanding its derivation from organic chemistry, 
 
 has not led Safaf* ik very far. The poor result which he has obtained 
 
 in applying organic theories to inorganic compounds caused Safaf ik to 
 make the following remarks : " The most natural means of bringing 
 inorganic chemistry into unison with the fundamental theories of the 
 present time is that which has led to such remarkably successful 
 results in organic chemistry ; each single element must be examined 
 in such a manner as has been the case with carbon or, as Erlenmeyer 
 so pregnantly observed, we must have as many chemistries as there 
 
SUMMARY 325 
 
 are elements. To attempt this work would be to commence a task of 
 incredible magnitude." 
 
 From these words it is clear how little satisfaction Safarik obtained 
 from his researches, and the authors of the present volume are equally 
 unable to accept the view that the problems of the structure of chemical 
 compounds can ever be solved by simply studying the elements in a 
 systematic manner. They incline more to the opinion that if the 
 present conception of the structure of organic compounds cannot be 
 applied to inorganic substances, then this very inapplicability is the 
 best proof that the generally accepted theory of organic structures is 
 not so devoid of objection that it cannot, with advantage, be modified. 
 The possibility or otherwise of applying a theory which appears to be 
 satisfactory for one element to others is one of the best tests of the 
 value of such a theory. 
 
 W. Vernadsky has also endeavoured to devise structural formulae 
 for silicates which bear some resemblance to those of organic chemistry. 
 He assumed the existence of two radicles in aluminosilicates : one 
 with an open or chlorite ring and the other with a closed or cyclic 
 chain (mica ring). The constitution of these rings is shown by the 
 following formulae : 
 
 OH OH 
 
 /\ /\ 
 
 O O 
 
 Si 0=Si Si=0 
 
 4 A 
 
 \/ \/ 
 
 Al Al 
 
 Chlorite Ring. Mica Ring. 
 
 According to Vernadsky these rings remain unaltered in most 
 chemical reactions, this property being highly characteristic of the 
 aluminosilicates. The compounds with a mica ring are, according 
 to this investigator, much more strongly characterised than minerals 
 with a chlorite ring. 
 
 As the durability of the rings is characteristic of cyclic chemical 
 compounds, and experience in organic chemistry shows that this 
 durability is exceptionally high in heterocyclic compounds, Vernadsky 
 considered that it might be assumed that minerals containing 
 mica contain heterocyclic rings, i.e. rings composed of several 
 elements. 
 
 Vernadsky has had no specially satisfactory results from this 
 
326 SUMMARY 
 
 theory because, as he himself admits, it is necessary to limit the applica- 
 tion of the theory to the simplest and best known compounds, and 
 because he persistently adheres to an entirely unnecessary dualism, 
 inasmuch as he divides silicates into two groups : one containing those 
 which are undoubtedly chemical compounds and the other comprising 
 the so-called physical combinations. Vernadsky's theory is thus 
 inapplicable as a general theory of silicates and also as a monistic 
 chemical theory of general application. 
 
 This short statement with regard to important attempts to apply 
 the theories current in organic chemistry to the elucidation of in- 
 organic structures must suffice to show that there is no parallel 
 between such an application of existing theories and the H.P. theory 
 developed in the present volume. Hence, before the H.P. theory can be 
 discarded or regarded as of no importance, those who criticise it must 
 disprove the statements made and must show that a still larger number 
 of facts can be fairly used in support of a new theory which, so far as 
 those concerned with the writing and translation of the present volume 
 are aware, has not yet been published. The ineffectiveness of all the 
 noteworthy existing theories has, it is believed, been conclusively 
 shown in the foregoing pages. 
 
 The H.P. theory leads by quite different means from those hitherto 
 used to the " benzene-ring theory " which has proved so advantage- 
 ous in studying the constitution and properties of carbon compounds. 
 It is scarcely necessary to state that Werner's co-ordination law is, in 
 some respects, a part of the S.H.P. theory. If a=6=c=l and 
 a=|8=y=90 , this produces Werner's octohedron, to the corners of 
 which are attached the molecules of various metal ammonias and 
 allied substances. It is a strong confirmation of the S.H.P. theory 
 that Werner's co-ordination law has solved a number of puzzling 
 problems in connection with the metal ammonias and allied substances, 
 that its inferences have been fully confirmed by experiment, and that 
 Werner's theory has proved of value in the development of a system- 
 atic arrangement of the compounds concerned. 
 
 Arrhenius' "Dissociation Hypothesis." van't Hoff's "Theory of 
 Solutions," and the Kinetic Theory of Gases are all, in a certain 
 sense, capable of being regarded as consequences of the S.H.P. 
 theory. 
 
 It is particularly important to note that, by the combination of the 
 S.H.P. theory with the modern theory of the structure of crystals, a 
 great step towards the object of all investigation has been made, and 
 some approach has been effected to the time when it will be possible 
 to show the true relationship between crystalline form and chemical 
 composition. This object will, clearly, be attained as soon as it is 
 possible to ascertain the exact relationship between the geometrical 
 constants (a : b : c and a, /3 and y) and the chemical constants, and to 
 predict both from the structural formula. 
 
 De Bois-Reymond 705 has no doubt that these problems will be 
 
SUMMARY 327 
 
 solved as soon as structural chemistry and crystallography unite, and 
 he has written the following : " We see, in imagination, Structural 
 Chemistry reaching out her hand to Crystallography ; we see the 
 atoms with their measured valencies filling spaces of definite 
 shapes, and forming the tools employed in building crystals." 
 
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 Reagents used for proving the presence of free lime in clinker are, I. Water: Winkler, 
 Chem. Centralbl. 1858, 482 ; Le Chatelier, Bull, de la soc. chim. 41, 377 ; Levoir, 
 Rec. des trav. chim. des Pays-Bas. 1886, 59 ; Zulkowsky, Chem. Ind. 1901, 290 ; 
 
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332 BIBLIOGRAPHY 
 
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 Gewerbebl. 1858, 69 ; Schott, Dingl. Polyt. Journ. 202, 434 ; 6. Potassium Carbonate : 
 Oddou. Manselle, Gaz. ital. 25, 101 ; Feichtinger, Bayer. Kunst- u. Gewerbebl. 1858, 
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 Dingl. Polyt. Journ. 265, 184 ; Tomei, Tonind.-Ztg. 1895, 177, Hauenschild, Tonind. 
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 Tonind.-Ztg. 1895, 177 ; 10. Ammonium Acetate : Tomei, ibid. ; 11. Ammonium 
 Oxalate : Wormser, Tonind.-Ztg. 1900 ; 12. Sodium Hydroxide : Hardt, Tonind.-Ztg. 
 1900, 1674 ; 13. Magnesium Chloride : Knapp, Dingl. Polyt. Journ. 265, 184 ; 
 
 14. Calcium Chloride : Levoir, Rec. des trav. chim. des Pays-Bas 1885, 55 ; 
 
 15. Sulphuretted Hydrogen : Steuer, Tonind.-Ztg. 1899, 1604 ; 16. HCl in Alkalies : 
 Feichtinger, Dingl. Polyt. Journ. 174, 437 ; 17. Iodine and Bromine in Alkalies : 
 Hardt, Dingl. Polyt. Journ. 175, 208 ; 18. NH^Cl in Alkalies : Michel, Journ. 
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 Journ. J75, 208 ; 20. Mg(NO s ) 2 in Alkalies : Zulkowsky, Zeitschr. d. niederosterreich. 
 Ingenieurvereins 1863 ; 21. AIC1 5 in Alkalies : Wormser u. Spanjer, Tonind.-Ztg. 
 1899, 1785 ; 22. Water-glass : Heldt, Journ. f. prakt. Chem. 94, 129 ; 23. Glycerin : 
 Hardt, Tonind.-Ztg. 1900, 1674 ; 24. Sugar solution : Heldt, Journ. f. prakt. Chem. 
 94, 129 ; Levoir, Rec. des trav. chim. des Pays-Bas 1886, 59 ; Parsons, Deutsche 
 Topfer- u. Ziegler-Ztg. 1888, 585 ; Masson, Journ. Amer. Chem. Soc. 16, 733 ; Rebbufat, 
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 Tonind.-Ztg. 1900, 860. 281, Jordis u. Kanter, Zeitschr. f. angew. Chem. 1903, 462-8, 
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 Studien iiber die Zemente, Journ. f. prakt. Chem. 1865, 207. 284, Sehuliatschenko, 
 Tonind.-Ztg. 1901, 25, 1050, 1053. 284a, The cause of setting is said to be the formation 
 of aluminates, and that of hardening to be the production of certain silicates, by Michel, 
 Journ. f. prakt. Chem. 1886, 33, 548 ; A. Meyer, Bull. Boucarest 1901, Nr. 6. On harden- 
 ing, the following silicates are formed : 1. CaO SiO 2 H 2 O according to Le Chatelier, 
 Bull, de la soc. chim. 1885, 42, 82 ; Jex, Tonind.-Ztg. 1900, 1856-1919 ; A. Meyer, 
 Bull. Boucarest 1901, Nr. 6 ; Zulkowski, Broschiire 1901 ; 2. 4 CaO 3 SiO 2 H 2 O 
 according to Laudrin, Compt. rend. 1883, 96, 156, 379, 841, 1229 ; 3. 5 CaO 3 SiO 2 
 
 H 2 O according to Michaelis, Journ. f. prakt. Chem. 100, 257,-303 ; 4. 3 CaO 2 SiO a 
 
 H 2 O according to Michaelis, Verhandl. d. Vereins zur Bef order, d. Gewerbefl. 1896, 
 317 ; 5. 2 CaO SiO 2 H 2 O according to Rebbufat, Tonind.-Ztg. 1899, 782, 823, 
 853, 1900 ; A. Meyer, Bull. Boucarest 1901, Nr. 6 ; Erdmenger, Chem.-Ztg. 1893, 
 982 ; 6. 3 CaO SiO 2 H 2 O according to Rivot & Chatoney, Compt. rend. 1856, 
 153, 302, 785 ; 7. SiO 2 H 2 O according to Kuhlmann, Compt. rend., Mai 1841 ; 8. 
 The formation of calcium hydrosilicates was assumed by Berthier, Ann. chim. et phys. 
 22, 62 ; Fremy, Compt. rend. 60, 993 ; Lieven, Archiv. f . d. Naturk. v. Livland, Estland, 
 u. Kurland 1864, 4, 45 ; Michaelis, Topfer- u. Ziegler-Zgt. 1880, 194 ; 9. A mixture of 
 basic, neutral and acid silicates was assumed by Heldt, Journ. f. prakt. Chem. 1865, 
 94, 124-61 ; 10. The formation of silicates without any statement as to their formulae was 
 assumed by Vicat & John, Ann. chim. et phys. 5, 387 ; Feichtinger, Bayer. Kunst- 
 u. Gewerbebl. 1858, 69 ; Winkler, Chem. Centralbl. 1858, 482 et seq. 284b, Jordis. u. 
 Kanter, Zeitschr. f. angew. Chem. 1903, 462-8, 485-92. 285, Le Chatelier, Compt. 
 rend. 94, 867 ; Bull, de la soc. chim. 41, 377 ; 42, 82. 286, Newberry, Tonind.-Ztg. 
 1898, 879. 287, Kosmann. Tonind.-Ztg. 1902, 1895 ; 1895, 237. 288, Jex, Tonind.- 
 Ztg. 1886, 1919 ; 1900, 1856. 289, Erdmenger, Tonind.-Ztg. 1879, Nr. 1, 19, 20, 49 ; 
 Chem.-Ztg. 1893, 982 ; Dingl. Polyt. Journ. 218, 507. 290, Hardt, Tonind.-Ztg. 1900, 
 1674. 291, Schonaich-Carolath, Chem. Centralbl. 1866, 1062. 292, Schott, Dingl. 
 Polyt. Journ. 202, 434. 293, Zsigmondy, Chem. Centralbl. 94, 1064. 294, Meyer- 
 Mahlstatt, Protok. d. Vereins d. Portlandzem.-Fabr. 1901. 295, Rohland, Zur Frage 
 iiber die Konstitut. d. Portlandzem., Zeitschr. f. Baumaterialienkunde, Nr. 6, 1901, 
 20. For further information on Constitution of Clinkers see Fremy, Compt. rend. 
 60, 993 ; Sehuliatschenko, Dingl. Polyt. Journ. 194, 355 ; Michel, Journ. f. prakt. 
 Chem. 93, 548 ; TSrnebohm, Kongr. d. internation. Verb. f. Materialpr., Stockholm 
 1897 ; Rebbufat, Gaz. chim. ital. 28, Teil II ; Zulkowski, Chem. Ind. 1901, 290 ; Leduc, 
 Sur la Dissociation des produits hydraul., Sept. 1901 ; Rivot u. Chatoney, Compt. 
 rend. 153, 302, 785; A. Meyer, Bull. Boucar. 1901, Nr. 6; Tonind.-Ztg. 1902, 1895; 
 Ludwig, Tonind.-Ztg. 1901, 2084; Richardson, Tonind.-Ztg. 1902,. 1928; Michaelia, 
 Versamml. d. Vereins d. Portlandzem.-Fabr. 1903 ; Winkler, Journ. f. prakt. Chem. 
 67, 444 ; Dingl. Polyt. Journ. 775, 208 ; Heldt, Journ. f. prakt. Chem. 94, 129, 202-37 ; 
 
BIBLIOGRAPHY 333 
 
 Laudrin, Compt. rend. 96, 156, 379, 841, 1229 ; Foy, Ann. ind. 1887, 90. 296, Le 
 Chatelier, Compt. rend. 94, 867. 297, Tornebohm, Kongr. des internation. Verb. f. 
 Materialienpr., Stockholm 1897. 298, Richardson, Baumaterialienk, 1903, Heft 11, 
 150 ; Tonind.-Ztg. 1903, Nr. 58. For further information on the use of the microscope in 
 the study of the constitution of Portland cement see W. Michaelis, Der ErhartungsprozeB 
 der kalkhaltigen hydraul. Bindemittel, Dresden 1909, also Keisermann, Der Port- 
 landzement, seine Hydratbildung und Konstitution, Kolloidchemische Beihefte. Bd. 
 I, 1910, Keisermann endeavoured to ascertain the constitution of Portland cement by 
 microscopical crystallographic methods with the aid of aniline dyes as selective staining 
 agents. He concluded that clinker is probably a conglomerate of dicalcium silicate and 
 tricalcuim aluminate in the proportion of 4 (2 CaO SiO 2 ) + 3 CaO A1 2 O 3 . Keisermann 
 (1. c.) and O. Schmidt (Der Portlandzement, Stuttgart 1906, 29) state that there are now 
 in existence about 28 theories of the constitution and hydratisation of cements. 299, Schott, 
 1. c. 300, Zulkowski, Zur Erhartungstheorie d. natiirl. u. kunstl. hydraul. Kalkes, 
 Berlin 1898, 45 ; Sonderabdr. a. d. Zeitschr. Chem. Ind. 1898. 301, Lunge, Tonind.- 
 Ztg. 1900, 763-5 ; Zeitschr. f. angew. Chem. 1900, 409. 302, Schott, I. c. 303, Michaelis, 
 Die hydraulischen Mfirtel 1869, 193. 303a, Theories of the process of burning have been 
 published by Knipp (On burning the cohesion of the silica is reduced), Osterr. Zeitschr. 
 f. Berg- u. Hiittenwesen 1865, Nr. 40 u. 41 ; Mann (Burning draws the smallest particles 
 close together), Tonind.-Ztg. 1877, Nr. 26 u. 30; Michaelis (Burning produces a state of 
 physical tension in the molecule), Journal f. prakt. Chem. 100, 257-303 ; Erdmenger 
 (E. considered this state of tension to be partly chemical), Tonind.-Ztg. 1878, 232, 250, 
 259, 378. Theories respecting the cause of " dead-burned " cement have been published 
 by : Fremy, Pettenkofer, Schonaich-Carolath who attributed it to the formation of a 
 silicate, Chem. Centralbl. 1866, 1062 ; Vicat and many others attribute it to the production 
 of a fluid (molten) material, Ann. chim. et phys. 1820 ; Michaelis has shown by experi- 
 ments, that Vicat's view is erroneous, Tonind.-Ztg. 1892, 124, 403 ; Schuliatschenko 
 attributed this phenomenon to physical causes, Chem. News 1869, 190 ; Hewett to an 
 allotropic modification of normal cement, Tonid.-Ztg. 1899, 211 et seq. 303b, The follow- 
 ing papers have been published on slag cements : Eisner, Dingl. Polyt. Journ. 106, 32 ; 
 Ott, ibid. 208, 57 ; Huck, Polyt. Centralbl. 1870, 778 ; Pelouze and Fremy, Berg- 
 u. Hiittenm. Ztg. 1872, 335 ; Bodner, ibid. 1874, 262 ; Wood, ibid. 1878, 432 ; Bosse, 
 Tonind.-Ztg. 1885, Nr. 41 ; 1886, Nr. 9 ; Manske, Zeitschr. d. Vereins d. Ing. 1885, 
 921 ; Herrmann, Deutsche Topfer- u. Zeigler-Ztg. 1886, Nr. 5 ; Schumann, Deutsche 
 Bauztg. 1886, 4 ; Tonind.-Ztg. 1886, Nr. 5 ; Farinaux, Tonind.-Ztg. 1886, Nr. 18-20 ; 
 Stahl u. Eisen 1886, Nr. 1 ; Ausfiihrl. iiber Schlackenz. nach Tetmajer in Tonind.-Ztg. 
 1885, Nr. 36 ; 1886, Nr. 22 and Deutsche Topfer- u. Ziegler-Ztg. 1887, Nr. 26 ; Knapp, 
 Dingl. Polyt. Journ. 265, 184 et seq. 304, Jantzen, Tonind.-Ztg. 1903, Nr. 32. 305, 
 Lunge, I. c. 
 
 305a, Theories of hardening : i. Physical reactions (crystallisations) the cause of 
 setting, according to Wolters, Dingl. Polyt. Journ. 1874, 214, 392 ; Le Chatelier, Bull, 
 de la soc. chim. 1885, 42, 82 ; Tonind.-Ztg. 1892, 1032 ; Levoir, Rec. des trav. chim. 
 des Pays-Bas 1886, 59 ; Erdmenger, Chem.-Ztg. 1893, 982 ; Rebbufat, Tonind.-Ztg. 
 1899, 782, 823, 853, 900. 2. The solidification or coagulation of the colloids produced on 
 mixing the cement with water is the cause of setting according to Hauerschild, Wochenschr. 
 d. niederosterr. Gew. -Vereins 1881, 271. 3. Erdmenger has suggested that the dis- 
 integrated lime forces the gelatinous material, produced by the action of water, into the 
 pores or voids and so causes the hardening of the mass, Tonind.-Ztg. 1881, 782, 823, 883, 
 900. 4. Hardening is attributed to drying by Heldt, Journ. f. prakt. Chem. 1865, 94, 
 124-61 ; Erdmenger, Tonind.-Ztg. 1880, Nr. 1, 42. 305b, A hydration of the com- 
 pounds occurring in clinker is said to occur, by Fuchs, Gesammelte Schriften, Miinchen 
 1829, 113 ; Knau6, Wiirttemb. Gewerbeblatt 1855, Nr. 4 ; Rivot u. Chatoney, Compt. 
 rend. 153, 302, 785 ; Schuliatschenko, Chem. News 1869, 190 ; Knapp. Dingl. Polyt. 
 Journ. 1887, 265, 184 ; Perrodil, Dingl. Polyt. Journ. 1885, 255, 76 ; Le Chatelier, 
 Bull, de la soc. chim. 1885, 42, 82 ; Zulkowsky, I. c. 300, Knapp, Dingl. Polyt. Journ. 
 1871, 202, 524. 307, cf. Knapp, ibid. p. 573. 308, ibid. p. 518. 309, Richter, Zur Konstit. 
 der Portlandz. Tonind.-Ztg. 1903, Nr. 120. 310, Michaelis, Die hydraul. M6rtel, p. 577. 
 311, Winkler, Journ. f. prakt. Chem. 1856, 67, 444. 312, Winkler, I.e. 313, Heldt, 
 Journ. f. prakt. Chem. 1865, 94, 129. 314, Fuchs, I. c. 277. 315, Zulkowski, tfber den 
 Wahren Grund der Erhartung der hydraulischen Bindemittel, Chem. Ind. 1898, 99 ; 
 (see also 31 la). 316, Von Teicheck, Chem. Ind. 1901, 445. 317, Zulkowsky, Chem. 
 Ind. 1901, 372. 318, Zulkowsky, Chem. Ind. 1898, 101. 319, Feichtinger, Dingl. 
 Polyt. Journ. 1859, 40-61, 108-18. 319a, "Dber die quantitative Bestimmung des 
 freien Kalkhydrats im erharteten Zement N. Ljamin, Tonind.-Ztg. 1899, 230 ; Schuliats- 
 chenko, Uber das Calciumhydrat in dem erharteten Portlandzement, Verhandl. 
 
334 BIBLIOGRAPHY 
 
 d. Vereins Deutsch. Portlandzem.-Fabr. 1899 of 23. and 24. Febr. ; Jahresber. 
 d. chem. Techn. 1898, 44, 727. 320, Michaelis, 1. c. 321, Feichtinger, I. c. 
 322, Ostwald, Rigasche Ind.-Ztg. 1883 ; Fischer, Handb. d. Technol. 1893, 829 
 et seq. The development of heat by cement during hardening has also been shown by 
 Hardt u. Meyer, Tonind.-Ztg. 1895 ; Hardt, Tonind.-Ztg. 1901, 1157. 323, Feich- 
 tinger, Dingl. Polyt. Journ. 1859, 57. 324, Feichtinger, ibid. 40-61, 108-18. 325, 
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APPENDIX 
 
 CALCULATION OF FORMULAE FROM THE RESULTS 
 OF LEMBERG'S EXPERIMENTS * 
 
 A. Production of a series of Sodalites with the general formula 
 
 m Na 2 (6 A1 2 3 12 Si0 2 ) m' Salt n H 2 
 or the formula 
 
 Na 12 (Si Al Al Si) m'2 n H 2 
 
 (a) The following compound 
 
 (6 Na 2 6 A1 2 3 12 Si0 2 ) 4 NaCl 4 H 2 
 =Na 12 (Si Al Al S A i) 4 NaCl 4 H 2 O 
 
 is the final product of the action of a 20 per cent, solution of caustic soda 
 saturated with sodium chloride on the following silicates : 
 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 (Kaolin from Karlsbad) 
 
 = H 12 (Si Al A Si) 6 H 2 
 6 Na 2 6 A1 2 3 12 Si0 2 (Elaolite from Brevig) 
 
 = Na 12 (Si Al Al Si) 
 6 Na 2 6 A1 2 3 18 Si0 2 12 H 2 (Brevicite from Brevig) 
 
 = Na 12 (Si Al Si Al S A i) 12 H 2 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 (Analcime from Fassthal) 
 
 = Na 6 (Si Al Si) 6 H 2 
 3 K 2 3 A1 2 3 12 Si0 2 (Leucitefrom Vesuvius) 
 
 = K 6 (S A i Al Si) 
 3 K 2 3 A1 2 3 18 Si0 2 (Orthoclase from Striegau) 
 
 the reagent and silicate being treated at various temperatures (100, 180 to 
 190 C.) for various periods ranging from 74 hours to six months. 
 
 Theory. 
 
 4 
 
 4f 
 
 4g 
 
 4c 
 
 4d 
 
 4a 
 
 3Na 2 
 
 18.51 
 
 19.02 
 
 18.65 
 
 19.35 
 
 19.04 
 
 18.53 
 
 18.57 
 
 3A1 2 3 
 
 30.45 
 
 31.63 
 
 31.81 
 
 31.61 
 
 30.70 
 
 30.84 
 
 30.73 
 
 6SiO 2 
 
 35.82 
 
 35.14 
 
 36.32 
 
 36.66 
 
 36.02 
 
 36.42 
 
 36.78 
 
 2 NaCl 
 
 11.64 
 
 10.71 
 
 11.22 
 
 11.32 
 
 10.22 
 
 10.22 
 
 10.23 
 
 2H 2 
 
 3.58 
 
 2.61 
 
 0.94 
 
 1.14 
 
 3.60 
 
 3.13 
 
 3.25 
 
 CaO 
 
 
 
 0.30 
 
 0.63 
 
 
 
 0.14 
 
 0.49 
 
 0.25 
 
 100.00 99.41 99.57 100.08 99.72 99.63 99.81 
 
 * * Zeitschr. d. Deutsch. geol. Gesellsch. 1876-85. 
 2 Cf. pages 60, 61 and 140 of this volume. 
 Cf. Lemberg, 1. c. 1883, p. 582. 
 
 340 
 
LEMBERG'S EXPERIMENTS 341 
 
 (b) After two months' action, at 100, of 15 and 12 per cent, solutions of 
 caustic potash saturated with potassium chloride on the silicates * 
 
 3 K 2 - 3 A1 2 3 12 Si0 2 (Leucite from Vesuvius) = K 6 (S A i Al Si) 
 
 / >A 
 3 K 2 O 3 A1 2 O 3 18 Si0 2 (Orthoclase from Striegau) = K 6 I Al Si I 
 
 V W 
 LEMBERG obtained the sodalite 
 
 (6 K 2 6 A1 2 3 12 Si0 2 ) 2 KC1 8 H 2 
 = K 12 (Si Al Al Si) 2 KC1 8 H 2 0. 
 
 Theory. 
 
 6c 
 
 6a 
 
 3K 2 O 
 
 25.77 
 
 24.72 
 
 23.84 
 
 3A1 2 3 
 
 27.96 
 
 27.47 
 
 27.10 
 
 6Si0 2 
 
 32.89 
 
 32.31 
 
 32.26 
 
 KC1 
 
 6.80 
 
 7.34 
 
 7.00 
 
 4H 2 
 
 6.58 
 
 7.80 
 
 8.22 
 
 CaO 
 
 
 
 0.30 
 
 
 
 100.00 99.94 99.42 
 (c) The silicates f 
 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 O (Kaolin from Karlsbad) 
 
 = H ]2 (Si - Al Al Si) 6 H 2 
 6 Na 2 6 A1 2 3 18 Si0 2 12 H 2 (Brevicite from Brevig) 
 
 = Na 12 (S A i - Al Si - Al Si) 12 H 2 O 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 (Analcime from Fassthal) 
 
 = Na 6 (Si Al Si) 6 H 2 
 3 K 2 3 A1 2 3 12 Si0 2 (Leucite from Vesuvius) 
 
 = K 6 (Sl Al S A i) 
 3 Na 2 3 A1 2 3 18 Si0 2 (Albite from Viesch) 
 
 = Na e 
 3 K 2 3 A1 2 3 18 Si0 2 (Orthoclase from Striegau) 
 
 * Lemberg, 1. c. 1883, p. 587. 
 
 t Lemberg, I. c. 1883, pp. 579, 580. 
 
342 LEMBERG'S EXPERIMENTS 
 
 If a 20 per cent, solution of caustic soda, saturated with sodium sulphate, 
 is used at various temperatures (100, 180-190) for different periods (74 
 hours to six months) only the following sodalite is formed : 
 
 (6 Na 2 6 A1 2 3 12 Si0 2 ) 2 Na 2 S0 4 6 H 2 
 = Na 12 (Si - Al Al Si) 2 Na 2 S0 4 6 H 2 0. 
 
 Theory. 
 
 3 
 
 3f 
 
 3a 
 
 3b 
 
 38 
 
 3c 
 
 3d 
 
 3Na 2 
 
 17.75 
 
 17.96 
 
 17.75 
 
 17.72 
 
 17.77 
 
 17.39 
 
 17.11 
 
 18.53 
 
 3A1 2 3 
 
 29.20 
 
 30.00 
 
 30.24 
 
 29.44 
 
 29.55 
 
 29.66 
 
 29.01 
 
 30.04 
 
 6Si0 2 
 
 34.35 
 
 34.31 
 
 34.03 
 
 14.78 
 
 34.29 
 
 35.14 
 
 35.27 
 
 34.74 
 
 Na 2 S0 4 
 
 13.55 
 
 11.82 
 
 13.22 
 
 12.65 
 
 11.80 
 
 12.63 
 
 11.21 
 
 9.33 
 
 3H 2 
 
 5.15 
 
 5.70 
 
 5.02 
 
 5.35 
 
 5.89 
 
 4.90 
 
 6.25 
 
 5.88 
 
 CaO 
 
 
 
 0.35 
 
 
 
 
 
 0.40 
 
 
 
 0.20 
 
 0.20 
 
 100.00 100.14 100.26 99.94 99.70 99.72 99.05 98.72 
 
 (d) Three to five grammes of the following silicates : * 
 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 (Kaolin from Karlsbad) 
 
 = H 12 (Si Al Al Si) 6 H 2 
 6 Na 2 6 A1 2 3 12 Si0 2 (Elaolite from Brevig) 
 
 = Na 12 (Si Al Al Si) 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 (Analcime from Fassthal) 
 
 = Na 6 (Si M - Si) 6 H 2 
 3 K 2 3 A1 2 3 12 Si0 2 (Leucite from Vesuvius) 
 
 = K 6 (Si - Al Si) 
 3 Na 2 3 A1 2 3 18 Si0 2 (Albite from Viesch) 
 
 = Na,( Al^Si) 
 
 V \0i/ 
 
 were mixed with 40 g. of the sodium silicate Na 2 Si0 2 8 H 2 0, which 
 had been melted in its own water of crystallisation and the mixture heated 
 at 200 for 100 hours in a digester. The excess of sodium silicate was then 
 washed out with cold water. An analysis of the residue corresponded to the 
 compound 
 
 (6 Na 2 6 A1 2 3 12 Si0 2 ) 2 Na 2 Si0 3 8 H 2 
 
 = Na 12 (Si Al Al - S A i) 2 Na 2 Si0 3 8 H 2 O. 
 
 Theory. 
 
 3 
 
 3c 
 
 3e 
 
 3f 
 
 3g 
 
 4 
 
 Na 2 
 
 23. 
 
 71 
 
 22. 
 
 61 
 
 23 
 
 .30 
 
 23.34 
 
 21. 
 
 03 
 
 21.70 
 
 3 
 
 A1 2 3 
 
 29. 
 
 27 
 
 29 
 
 ,31 
 
 28 
 
 .69 
 
 29.16 
 
 29. 
 
 60 
 
 29.25 
 
 7 
 
 Si0 2 
 
 40. 
 
 15 
 
 40, 
 
 ,30 
 
 39 
 
 .43 
 
 40.15 
 
 40. 
 
 52 
 
 40.84 
 
 4 
 
 H 2 
 
 6. 
 
 87 
 
 6 
 
 ,68 
 
 6 
 
 .88 
 
 6.38 
 
 7. 
 
 49 
 
 6.94 
 
 
 CaO 
 
 
 
 
 
 
 
 .90 
 
 
 
 
 
 
 
 100.00 98.90 99.20 99.03 98.64 99.73 
 * Lemberg, I. c. 1885, pp. 961, 962. 
 
LEMBERG'S EXPERIMENTS 343 
 
 (e) The silicates 
 6 H 2 6 A1 2 3 12 Si0 2 6 H 2 O (Kaolin from Karlsbad) 
 
 = H M (Si Al - Al Si) 6 H 2 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 O (Analcime from Fassthal) 
 
 = Na e - (Si - Al Si) 6 H 2 O 
 3 K 2 3 A1 2 3 12 Si0 2 (Leucite from Vesuvius) 
 
 = K 6 (S A i Al Si) 
 
 were treated with a 15-20 per cent, solution of caustic soda saturated with 
 sodium carbonate at various temperatures (100, 180-190) and for different 
 periods ranging from 74 hours to six months.* Analyses of the products gave 
 the following formula : 
 
 3 (6 Na 2 O 6 A1 2 3 12 Si0 2 ) 4 Na 2 C0 3 30 H 2 
 = {Na 12 (Si - Al - AJ Si)} 3 ' 4 Na 2 C0 3 30 H 2 0. 
 
 Theory. 
 
 5 
 
 5b 
 
 5c 
 
 9Na 2 
 
 18.38 
 
 18.23 
 
 17.17 
 
 18.13 
 
 9 A1 2 2 
 
 30.22 
 
 30.84 
 
 29.18 
 
 29.47 
 
 18 Si0 2 
 
 35.55 
 
 34.82 
 
 35.50 
 
 35.27 
 
 2 Na 2 OC 3 
 
 6.96 
 
 7.13 
 
 6.96 
 
 6.58 
 
 15H 2 
 
 8.89 
 
 8.68 
 
 9.40 
 
 9.18 
 
 CaO 
 
 
 
 0.30 
 
 0.10 
 
 0.40 
 
 100.00 100.00 98.84 99.03 
 
 B. A Series of Changes in Aluminosilicates based on Lemberg's 
 Experiments. 
 
 (a) The action of caustic soda solution of various concentrations (30 per 
 cent, and 56 per cent.) at 100 for various periods ranging from 72 hours to 
 14 days on the following silicates : 
 
 (1) 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 (Analcime from Fassthal) 
 
 = Na 6 (Si Al S A i) 6 H 2 0f 
 
 (2) 6 Na 2 6 A1 2 3 12 Si0 2 (Elaolite from Brevig) 
 
 = Na 12 (Si Al Al Si)J 
 
 (3) 6 H 2 6 A1 2 3 12 SiO 2 6 H 2 (Kaolin from Karlsbad) 
 
 = H ]2 (Si Al Al - Si) - 6 H 2 
 gave the following results : 
 
 From Compound 1 was obtained the substance : 
 
 6 Na 2 6 A1 2 3 12 Si0 2 15 H 2 = Na 32 (S A i Al A! Si) 15 H 2 
 from Compound 2 the substance : 
 
 8 Na 2 6 A1 2 O 3 12 Si0 2 7 H 2 O = Na 16 (Si Al Al Si) 7 H 2 
 
 * Lemberg, I. c. 1883, pp. 583-4. 
 
 t Lemberg, 1. c. 1883, p. 579, Expt. 2. 
 
 j Lemberg, L c. 1885, pp. 960-1, Expts. 2c. and 2d. 
 
 Lemberg, L c. 1883, p. 579, Expt. 1 ; I.e. 1885, p. 960, Expt. 2b. 
 
344 LEMBERG'S EXPERIMENTS 
 
 and from Compound 3 the silicates : 
 
 6 Na 2 6 A1 2 3 12 Si0 2 15 H 2 = Na 12 (Si Al Al Si) 15 H 2 
 8 Na 2 6 A1 2 3 12 Si0 2 7 H 2 = Na 16 (Si Al Al Si) 7 H 2 
 
 Theory. 
 
 1 
 
 2 
 
 
 6Na 2 
 6A1 2 3 
 
 18.84 
 31.01 
 
 18.30 
 31.13 
 
 18.87 
 31.35 
 
 
 12 Si0 2 
 15H 2 
 
 36.47 
 13.68 
 
 36.52 
 14.59 
 
 36.28 
 13.39 
 
 
 100.00 
 
 100.54 
 
 99.89 
 
 Theory. 
 
 2b 
 
 2c 
 
 2d 
 
 8Na 2 
 
 25.38 
 
 26.05 
 
 25.29 
 
 24.99 
 
 6A1 2 3 
 
 31.32 
 
 31.42 
 
 31.05 
 
 31.16 
 
 12 Si0 2 
 7H 2 
 CaO 
 
 36.85 
 6.45 
 
 36.25 
 
 6.87 
 
 36.63 
 5.71 
 
 1.08 
 
 36.12 
 6.36 
 1.02 
 
 100.00 100.59 99.76 99.65 
 
 (b) On treating the silicates : 
 
 (1) 6 Na 2 6 A1 2 3 12 Si0 2 (Elaolite from Brevig) 
 
 = Na 12 (Si Al - M Si)* 
 
 (2) 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 (Analcime from Fassthal) 
 
 = Na 6 (Sl Al Si) 6 H 2 f 
 
 (3) 3 K 2 3 A1 2 3 18 Si0 2 (Orthoclase from Striegau) 
 
 in the state of a molten glass with aqueous solutions of sodium silicate, 
 Na 2 O 2 2 Si0 2 aq. of suitable concentration, at various temperatures 
 (100, 200-210) for various periods (78 hours to five months) the following 
 substance 
 
 (3 Na 2 - 3 A1 2 3 15 Si0 2 7J H 2 0) 2 
 
 
 \ \Sv 
 
 15H 2 
 
 was produced from Compounds 1 and 2, and the compound 
 
 3 Na 2 3 A1 2 3 12 Si0 2 6 H 2 = Na 6 (S A i Al Si) 6 H 2 
 from the silicate 3. 
 
 * Lemberg, 1. c. 1883, p. 608, Expts. 35 and 36. 
 t Lemberg, I. c. 1885, pp. 992-3, Expts. 42 and 43. 
 J Lemberg, I. c. 1885, pp. 993-4, Expt. 47. 
 
LEMBERG'S EXPERIMENTS 
 
 345 
 
 Theory. 
 
 35 
 
 36 
 
 42 
 
 43 
 
 3Na 2 O 
 
 12.18 
 
 12.80 
 
 12.64 
 
 12.90 
 
 12.27 
 
 3 A1 2 O 3 
 
 20.04 
 
 20.95 
 
 20.64 
 
 20.54 
 
 19.35 
 
 15 SiO 2 
 
 58.94 
 
 57.10 
 
 57.67 
 
 57.78 
 
 59.35 
 
 7JH 2 
 
 8.84 
 
 8.68 
 
 8.79 
 
 8.78 
 
 9.03 
 
 
 
 
 0.47 
 
 0.30 
 
 
 
 
 
 
 100.00 
 
 100.00 
 
 100.04 
 
 100.00 
 
 100.00 
 
 Theory. 
 
 47 
 
 
 
 
 3Na 2 O 
 
 14.09 
 
 14.01 
 
 
 
 
 3 A1 2 3 
 
 23.20 
 
 22.80 
 
 
 
 
 12 Si0 2 
 
 54.54 
 
 54.36 
 
 
 
 
 6H 2 
 
 8.17 
 
 8.53 
 
 
 
 100.00 99.70 
 (c) The silicate 
 
 3 Na 2 3 A1 2 3 15 SiO 2 7J H 2 * 
 
 formed from the analcime from Fassthal, after a three weeks' treatment with 
 potassium chloride solution at 100 and a further treatment] for 100 hours 
 at 200, gave the compound 
 
 (3 K 2 3 A1 2 O 3 15 Si0 2 1 J H 2 0) 2 
 
 3H 2 Of 
 
 Theory. 
 
 42a 
 
 43a 
 
 3 K 2 18.62 
 
 19.05 
 
 18.64 
 
 3A1 2 3 20.19 
 
 20.79 
 
 20.25 
 
 15 Si0 2 59.40 
 
 58.92 
 
 59.90 
 
 1 J H 2 1.79 
 
 1.24 
 
 1.21 
 
 100.00 100.00 100.00 
 (d) The behaviours towards acids of the following silicates : 
 
 (1) 0,5 Na 2 O 2,5 CaO - 3 A1 2 3 18 Si0 2 17 H 2 (Stilbite from 
 Berufjord) * 
 
 NaCa 2 , 
 
 2'5 
 
 i -17H 2 Ot 
 
 Si 
 
 (2) 0,5 Na 2 2,5 CaO 3 A1 2 O 3 18 Si0 2 H 2 (Desmine from Farsern) 
 
 Si 
 = NaCa 2 , 5 AlSi - 20 H 2 
 
 (3) 0,5 K 2 2 Na 2 O 2,5 CaO 5 A1 2 O 3 18_Si0 2 -^8H 2 (See- 
 bachite from Richmond) = KNa 5 Ca 2 , 5 (Si- M Si Al - Si) -28 H 2 0|f 
 
 * Lemberg, 1. c. 1885, p. 992, Expts. 42 and 43. 
 
 f Lemberg, /. c. 1885, pp. 992-3, Expts. 42a and 43a. 
 
 J Lemberg, Z. c. 1885, pp. 987-8. 
 
 Lemberg, I. c. 1885, pp. 989, 990, 993. 
 
 || Lemberg, I. c. 1885, pp. 972, 977-8. 
 
346 
 
 LEMBERG'S EXPERIMENTS 
 
 (4) 0.5 K 2 2.5 Na 2 2 CaO 5 A1 2 0< 
 lite from Acireale)= KNa 5 Ca 2 (Si Al Si 
 
 18 SiO 2 
 
 Al Si) 28 
 
 28H 2 
 
 (Hersche- 
 H 2 0,* and their 
 
 derivatives are shown in the following Tables I, II, III and IV, in which 
 
 V = Lemberg's Experiment Number. 
 
 S = The silicates used. 
 
 A = The salt solutions employed. 
 
 Z = The duration of the experiments. 
 
 T = The Temperature. 
 
 P = The Products obtained. 
 
 Table I 
 
 V. 
 
 8. 
 
 A. 
 
 Z. 
 
 T 
 
 P. 
 
 39 a 
 
 0.5 NajO'2.5 CaO'3 A1,O, ) 
 18 SKV17 H 2 O I 
 
 KC1 solution 
 
 1.5 Mths. 
 
 100 
 
 3 K 2 O'3 AlsOa'18 Si0 2 '13 H 2 
 
 39 b 
 
 3 K 2 O'3 A1 2 O 3 '18 SiO 2 '13 H 2 O 
 
 Naa 
 
 14 Days 
 
 100* 
 
 3 Na 2 0'3 A1 2 O 8 -18 SiO 2 '16 H 2 O 
 
 39 c 
 
 3 Na 2 O'3 A1 2 O 3 '18 SiO 2 '16 H 2 O 
 
 Nad 
 
 1355 Hrs. 
 
 210-220 
 
 3 Na 2 0-3 AljOj'18 Si0 2 '8 H 2 O 
 
 39 d 
 
 3 Na 2 0'3 Al a O 3 '18 SiO a '16 H 2 O 
 
 (Na 2 0- Si0 2 +NaCl) ., 
 
 75Hrs. 
 
 195-205 
 
 3 Na 2 0'3 A1 2 3 '18 SiO 2 '8 H 2 O 
 
 39 g 
 
 3 Na a 0'3 Al a 3 '18 Si0 2 '16 H 2 O 
 
 (Borax+NaCl) 
 
 78 Hrs. 
 
 200-210 
 
 3 Na 2 0'3 A1 2 O S '18 Si0 2 '8 H 2 O 
 
 39 h 
 
 3 Na a O'3 A1 2 O 3 -18 SiO a '16 H 2 O 
 
 (Borax +NaCl) 
 
 78 Hrs. 
 
 200-210 
 
 3 Na 2 O'3 AI 2 3 '18 Si0 2 '8 H 2 O 
 
 39k 
 
 3 Na a O'3 AI a O 3 '18 SiO a '16 H 2 O 
 
 (Na 2 HP0 4 +NaCl) ,. 
 
 74 Hrs. 
 
 220 
 
 3 Na 2 O'3 A1 2 O S '18 Si0 2 '8 H 2 O 
 
 39 e 
 
 3 Na a 0'3 A1 2 3 '18 Si0 2 '8 H 2 O 
 
 Ka .. 
 
 75 Hrs. 
 
 200 
 
 3 K 2 O'3 A1 2 3 18 SiO 2 'H 2 O 
 
 391 
 
 3 Na 2 O'3 AljO 8 -18 Si0 2 '8 H 2 O 
 
 KC1 
 
 78 Hrs. 
 
 210-215 
 
 3 K 2 O'3 A1 2 O 3 -18 Si0 2 'H 2 O 
 
 391 
 
 3 Na 2 O'3 A1 2 O 3 '18 SiO 2 '8 H 2 O 
 
 KC1 ., 
 
 79 Hrs. 
 
 210 
 
 3 K 2 O-3 AI 2 O,'18 Si0 2 'H 2 O 
 
 39 f 
 
 3 K 2 0'3 Al 2 Oa'18 SiO^'HsO 
 
 NaCl 
 
 6 Days 
 
 100 
 
 3 Na 2 O'3 A1 2 O,'18 Si0 2 '8 H 2 O 
 
 Theory. 
 
 39 
 
 0.5 Na 2 
 
 1.66 
 
 1.40 
 
 2.5 CaO 
 
 7.53 
 
 7.43 
 
 3 A1 2 3 
 
 16.26 
 
 16.48 
 
 18 SiO 2 
 
 58.09 
 
 57.97 
 
 17 H 2 
 
 16.46 
 
 16.20 
 
 K 2 
 
 
 
 0.52 
 
 100.00 100.00 
 
 Analyses 
 
 Theory. 
 
 39a 
 
 3K 2 
 
 14.82 
 
 14.30 
 
 3 A1 2 3 
 18 SiO 2 
 
 16.09 
 
 56.78 
 
 16.34 
 57.21 
 
 13H 2 O 
 
 12.31 
 
 12.85 
 
 Theory. 
 
 39b 
 
 3Na 2 
 
 10.00 
 
 8.89 
 
 3 A1 2 3 
 
 16.45 
 
 16.72 
 
 18 Si0 2 
 
 58.07 
 
 58.14 
 
 16H 2 
 
 15.48 
 
 15.47 
 
 CaO 
 
 
 
 0.78 
 
 100.00 100.70 
 
 100.00 100.00 
 
 Lemberg, I. c. 1885, pp. 976, 979. 
 
LEMBERG'S EXPERIMENTS 
 
 547 
 
 Theory. 
 
 39c 
 
 39d 
 
 39g 
 
 39h 
 
 39k 
 
 39f 
 
 3Na 2 
 
 10 
 
 .84 
 
 10 
 
 .61 
 
 10 
 
 .94 
 
 11. 
 
 27 
 
 11.07 
 
 10.74 
 
 10.81 
 
 3A1 2 3 
 
 17 
 
 .84 
 
 17 
 
 .56 
 
 17 
 
 .99 
 
 17. 
 
 74 
 
 17.56 
 
 18.21 
 
 17.71 
 
 18 Si0 2 
 
 62 
 
 .94 
 
 62 
 
 .56 
 
 62 
 
 .54 
 
 62. 
 
 22 
 
 62.68 
 
 62.32 
 
 62.87 
 
 8H 2 
 
 8 
 
 .38 
 
 9 
 
 .27 
 
 8 
 
 .53 
 
 8. 
 
 77 
 
 8.69 
 
 8.73 
 
 8.61 
 
 100.00 100.00 100.00 100.00 100.00 100.00 100.00 
 
 Theory. 
 
 39e 
 
 39i 
 
 391 
 
 3 Na 2 16.73 
 
 16.66 
 
 16.87 
 
 16.63 
 
 3 A1 2 3 18.10 
 
 18.15 
 
 18.00 
 
 18.72 
 
 18 SiO 2 64.09 
 
 64.27 
 
 63.89 
 
 63.41 
 
 H 2 O 1.08 
 
 0.92 
 
 1.24 
 
 1.24 
 
 100.00 100.00 100.00 100.00 
 
 The experiments shown in Table I indicate a replacement of the mono- 
 and di-valent elements and a variation of the water in compounds of the 
 type 
 
 Table II 
 
 V. 
 
 S. 
 
 A. 
 
 z. 
 
 T. 
 
 P. 
 
 40 a 
 
 0.5 Na 2 O'2.5 CaO'3 A1 2 8 '18 Si0 2 '20 H 2 O 
 
 KC1 sol. 
 
 1 Month 
 
 100 
 
 3 K,O'3 A1 2 0,'18 Si0 2 '13 H 2 
 
 40 b 
 
 3 K 2 0'3 A1 2 S '18 SiOj'13 H 2 O 
 
 NaCl .. 
 
 14 Days 
 
 100 
 
 3 Na 2 0'3 A1 2 O,'18 Si0 2 '16 H 2 
 
 40 c 
 
 3 Na 2 O-3 A1 2 O 2 '18 Si0 2 '16 H 2 
 
 NaCl ,. 
 
 1029 Hrs. 
 
 210-220 
 
 3 Na 2 O'3 A1 2 O S '18 Si0 2 '8 H 2 
 
 40 d 
 
 3 Na 2 O'3 A1 2 8 '18 Si0 2 '16 H 2 
 
 (Na 2 0-2SiO,+NaCl) .. 
 
 74 Hrs. 
 
 220 
 
 3 Na 2 0-3 A1 2 S '18 SiO 2 '8H 2 O 
 
 40 f 
 
 3 Na 2 O'3 A1 2 3 '18 Si0 2 '16 H 2 O 
 
 (Borax +NaCl) ,. 
 
 186 Hrs. 
 
 210-220 
 
 3 Na 2 O'3 A1 2 3 '18 Si0 2 '8 H 2 O 
 
 40 e 
 
 3 Na 2 O'3 A1 2 S -18 Si0 2 '8 H 2 O 
 
 KC1 .. 
 
 79 Hrs. 
 
 210" 
 
 3 K 2 O'3 A1 2 O S '18 SiO 2 -H 2 O 
 
 40 g 
 
 3 Na 2 0-3 A1 2 8 '18 Si0 2 '8 H 2 O 
 
 KC1 .. 
 
 79 Hrs. 
 
 210-220 
 
 3 K 2 O'3 A1 2 O 3 '18 Si0 2 'H 2 O 
 
 44 
 
 0.5 Na 2 0'2.5 CaO'3 A1 2 0,'18 Si0 2 '20 H 2 O 
 
 20%Na 2 CO, ,. 
 
 15 Mnths. 
 
 100 
 
 3 Na 2 0'3 A1 2 S '15 SiO 2 '7i H 2 O 
 
 44 a 
 
 3 Na 2 0'3 A1 2 8 '15 Si0 2 '7i H 2 O 
 
 Ka ,. 
 
 100 Hrs. 
 
 200" 
 
 3 K 2 O'3 A1 2 S '15 SiO 2 'li H 2 
 
 45 
 
 0.5 Na 2 O'2.5 CaO'3 AJ 2 S '18 Si0 2 '20 H 2 O 
 
 25%Na 2 0'Si0 2 ,. 
 
 2 Mnths. 
 
 100 
 
 3 Na 2 0'3 A1 2 8 '12 Si0 2 '6 H 2 O 
 
 45 a 
 
 3 Na 2 O'3 A1 2 8 '12 SiO 2 '6 H 2 O 
 
 Ka .. 
 
 3 Weeks 
 
 100 
 
 3 K 2 O'3 AI 2 0,'12 Si0 2 'H 2 O 
 
 Analyses 
 
 
 Theory. 
 
 40 
 
 0.5 Na 2 1.60 
 
 0.91 
 
 2.5 CaO 7.31 
 
 7.60 
 
 3 A1 2 O 3 15.96 
 
 16.18 
 
 18 Si0 2 56.36 
 
 56.62 
 
 20 H 2 O 18.77 
 
 18.63 
 
 K 2 
 
 0.24 
 
 100.00 100.18 
 
348 
 
 LEMBERG'S EXPERIMENTS 
 
 Theory. 40a 
 
 3 K 2 14.82 14.42 
 
 3 A1 2 3 16.09 15.83 
 
 18 SiO 2 56.78 56.81 
 
 13 H 2 O 12.31 12.94 
 
 Theory. 40b 
 
 3 Na 2 O 10.00 9.74 
 
 3 A1 2 3 16.45 16.35 
 
 18 SiO 2 58.07 57.09 
 
 16 ELO 15.48 16.82 
 
 100.00 100.00 
 
 100.00 100.00 
 
 Theory. 
 
 40c 
 
 40d 
 
 40f 
 
 3 Na 2 
 
 10.84 
 
 10.63 
 
 11.12 
 
 11.46 
 
 3A1 2 3 
 
 17.84 
 
 17.62 
 
 17.83 
 
 17.73 
 
 18 Si0 2 
 
 62.94 
 
 62.48 
 
 62.08 
 
 61.87 
 
 8H 2 
 
 8.38 
 
 9.27 
 
 8.97 
 
 8.94 
 
 100.00 100.00 100.00 100.00 
 
 Theory. 
 
 40e 
 
 40g 
 
 3K 2 
 
 16.73 
 
 17.18 
 
 17.11 
 
 3A1 2 3 
 
 18.10 
 
 18.51 
 
 18.39 
 
 16 SiO 2 
 
 64.09 
 
 62.77 
 
 62.95 
 
 H 2 
 
 1.08 
 
 1.54 
 
 1.55 
 
 Theory. 
 
 44 
 
 3Na 2 
 3 A1 2 3 
 15 Si0 2 
 
 12.18 
 
 20.04 
 58.94 
 
 11.84 
 19.79 
 59.93 
 
 7iH 2 
 
 8.84 
 
 8.44 
 
 100.00 100.00 100.00 
 
 100.00 100.00 
 
 Theory. 
 
 44a 
 
 3K 2 
 
 18.62 
 
 18.19 
 
 3A1 2 3 
 
 20.19 
 
 20.21 
 
 15 SiO 2 
 
 59.40 
 
 60.90 
 
 liH 2 
 
 1.79 
 
 0.70 
 
 100.00 100.00 
 
 Theory. 
 
 45 
 
 3Na 2 O 
 
 14.09 
 
 13.72 
 
 3A1 2 3 
 
 23.20 
 
 22.14 
 
 12 Si0 2 
 
 54.54 
 
 55.26 
 
 6H 2 
 
 8.17 
 
 8.88 
 
 
 100.00 
 
 100.00 
 
 Theory. 
 
 45a 
 
 3K 2 
 
 21.26 
 
 20.78 
 
 3 A1 2 3 
 12 Si0 2 
 H 2 
 
 23.09 
 54.30 
 1.35 
 
 22.54 
 55.53 
 1.15 
 
 100.00 100.00 
 
 From the results shown in Table II it will be seen that there occur : 
 1. A substitution of the mono- and di-valent elements of compounds 
 of the type 
 
 and a substitution of mono-valent elements in compounds of the types 
 
 Si) 
 
 (S\ 
 Al^-Si I and R 6 (Si Al * & 
 X Si/ 
 
LEMBERG'S EXPERIMENTS 
 
 2. A conversion of the compounds of the type 
 
 349 
 
 l Si 
 
 into those of the types 
 
 R 6 AlSi and R 6 (Si Al Si) 
 
 3. A change in the water-content is observable in some cases. 
 
 Table III. 
 
 V. 
 
 S. 
 
 A. 
 
 Z. 
 
 T. 
 
 P. 
 
 26 a 
 
 0.5 K 2 0'2 NajO'2.5 CaO'5 A1 2 0, \ 
 18 SiO 2 '28 H 2 O / 
 
 KC1 Solution 
 
 2 Mtbs. 
 
 100 
 
 5 K 2 O'5 AlaOj'18 Si0 2 '24 H 2 
 
 26 b 
 
 0.5 K 2 0'2 Na 2 O-2.5 CaO'5 A1 2 0, \ 
 18 SiOj'28 H 2 O / 
 
 (8%K a CO+15%Ka) .. 
 
 70Hrs. 
 
 200-210 
 
 5 K 2 O'5 A1 2 O,'18 SiOj'24 H 2 
 
 26 c 
 
 5 K 2 O'5 A1,O S '18 SiO 2 '24 H 2 O 
 
 NaCl ,. 
 
 20 Days 
 
 100 
 
 5 Na,0'5 A1 2 3 '18 Si0 2 '27 H 2 O 
 
 26 d 
 26 f 
 26 e 
 
 5 K 2 O'5 A1 2 O 8 '18 SiO 2 '24 H 2 O 
 5 K 2 O'5 A1 2 O,'18 SiO 2 -24 H 2 O 
 5 Na,0'5 A1 2 O,'18 SiOj'10 H 2 O 
 
 (15%NaCl+5%Na 2 CO,).. 
 (15% NaQ+5% Na 2 CO) ,. 
 KC1 
 
 150 Hrs. 
 150 Hrs. 
 100 Hrs. 
 
 200-210 
 200-210 
 200-215 
 
 5 Na 2 O'5 A1 2 S '18 Si0 2 '10 H 2 O 
 5 Na 2 O'5 A1 2 O,'18 SiO 2 '10 H 2 
 5 K 2 O'5 A1 2 0,'18 SiO 2 'H 2 O 
 
 26 g 
 
 5 Na 2 O'5 A1 2 0,'18 SiOj'10 H 2 O 
 
 KC1 ,. 
 
 100 Hrs. 
 
 210 
 
 5K 2 0-5Al 2 0,'18Si0 2 -H 2 
 
 Theory. 
 
 26 
 
 0.5 K 2 
 2Na 2 
 2.5 CaO 
 
 1.94 
 5.09 
 
 5.78 
 
 2.00 
 4.92 
 5.89 
 
 5 A1 2 3 
 
 18 Si0 2 
 
 21.04 
 44.54 
 
 21.66 
 44.30 
 
 28H 2 
 
 21.61 
 
 21.23 
 
 Analyses 
 
 
 
 
 Theory. 
 
 26a 
 
 26b 
 
 5K 2 
 
 18.87 
 
 18.85 
 
 18.65 
 
 5 A1 2 3 
 
 20.48 
 
 20.43 
 
 20.49 
 
 18Si0 2 
 
 43.35 
 
 43.75 
 
 44.21 
 
 24H 2 
 
 17.30 
 
 16.96 
 
 16.65 
 
 100.00 99.99 100.00 
 
 100.00 100.00 
 
 Theory. 
 
 26c 
 
 5 Na 2 
 5 A1 2 3 
 18 SiO 2 
 27H 2 
 
 12.98 
 21.44 
 45.23 
 20.35 
 
 12.89 
 21.27 
 45.44 
 20.40 
 
 100.00 
 
 100.00 
 
 Theory. 
 
 26d 
 
 26f 
 
 5Na 2 
 
 14.91 
 
 14.98 
 
 14.98 
 
 5A1 2 3 
 
 24.52 
 
 24.68 
 
 24.33 
 
 18 Si0 2 
 
 51.92 
 
 51.59 
 
 52.05 
 
 10H 2 O 
 
 8.65 
 
 8.75 
 
 8.64 
 
 100.00 100.00 100.00 
 
 Theory. 
 
 26e 
 
 26g 
 
 5 K 2 22.62 
 
 21.86 
 
 21.64 
 
 5 A1 2 O 3 24.54 
 
 25.87 
 
 25.31 
 
 18 Si0 2 51.97 
 
 51.70 
 
 52.49 
 
 H 2 0.87 
 
 0.57 
 
 0.56 
 
 100.00 100.00 100.00 
 
350 
 
 LEMBERG'S EXPERIMENTS 
 
 Table IV 
 
 V. 
 
 S. 
 
 A. 
 
 Z. 
 
 T. 
 
 P. 
 
 27 a 
 
 0.5 K,O'2.5 Na 2 O'2 CaO'5 A10 S \ 
 18 SiOj'28 H a O f 
 
 KC1 Solution 
 
 1 Mth. 
 
 100" 
 
 5 K,O'5 Al 2 0a'18 Si0 2 '24 H0 
 
 27 b 
 
 0.5 KjO'2.5 Na,O'2 CaO'5 A1 2 S ) 
 18 SiOj'28 H 2 O f 
 
 (15%KC1+8%K 2 C0 3 ) .. 
 
 150 Hrs. 
 
 210-220 
 
 5 K 2 O'5 A1 2 2 -18 SiOt'16 H 2 O 
 
 27 c 
 
 5 KjO'o A1 2 3 '18 SKV24 H 2 O 
 
 NaCl ., 
 
 18 Days 
 
 100 
 
 5 Na 2 0-5 A1 2 O S '18 Si0 2 '27 H 2 O 
 
 27 d 
 
 5 Na 2 O'5 A1 2 O 3 '18 SiO 2 '27 H 2 O 
 
 (15%NaCl+5%Na 2 C0 3 ) 
 
 170 Hrs. 
 
 210-220 
 
 5 Na 2 0'5 Al 2 O s -18Si0 2 '10H 2 O 
 
 27 e 
 
 5 Na 2 O'5 A1 2 3 '18 SiO 2 '10 H 2 O 
 
 KC1 .. 
 
 75 Hrs. 
 
 200-210 
 
 5 K 2 O'5 A1 2 3 '18 SiO 2 'H 2 O 
 
 27 f 
 
 5 K 2 0'5 A1 2 3 '18 Si0 2 'H 2 O 
 
 NaCl ,. 
 
 10 Days 
 
 100" 
 
 5 Na 2 O'5 A1 2 S '18 SiO,'10 H 2 
 
 Analyses 
 
 Theory. 
 
 27 
 
 0.5 K 2 O 
 
 1.94 
 
 1.27 
 
 2.5 Na 2 
 2CaO 
 
 6.40 
 4.55 
 
 6.76 
 5.05 
 
 5A1 2 3 
 18 SiO 2 
 28H 2 O 
 
 21.03 
 44.49 
 21.59 
 
 21.27 
 44.12 
 21.57 
 
 Theory. 
 
 27a 
 
 5K 2 
 
 18.87 
 
 18.67 
 
 5 A1 2 3 
 
 20.48 
 
 20.41 
 
 18 Si0 2 
 
 43.35 
 
 44.08 
 
 24H 2 
 
 17.30 
 
 16.84 
 
 100.00 100.00 
 
 100.00 100.04 
 
 Theory. 
 
 27b 
 
 
 5K 2 
 
 20.02 
 
 19.55 
 
 
 5A1 2 3 
 
 21.72 
 
 21.96 
 
 
 18 Si0 2 
 
 45.99 
 
 46.34 
 
 
 16H 2 O 
 
 12.27 
 
 12.15 
 
 
 
 100.00 
 
 100.00 
 
 
 Theory. 
 
 27d 
 
 27f 
 
 5Na 2 
 
 14.91 
 
 14.97 
 
 14.86 
 
 5 A1 2 3 
 
 24.52 
 
 24.52 
 
 24.44 
 
 18 SiO 2 
 
 51.92 
 
 51.96 
 
 52.16 
 
 10H 2 O 
 
 8.65 
 
 8.55 
 
 8.54 
 
 Theory. 
 
 27c 
 
 5Na 2 
 
 12.88 
 
 12.50 
 
 5 A1 2 3 
 
 21.44 
 
 21.28 
 
 18 Si0 2 
 
 45.33 
 
 45.68 
 
 27H 2 
 
 20.35 
 
 20.54 
 
 
 100.00 
 
 100.00 
 
 Theory. 
 
 27e 
 
 5K 2 
 
 22.62 
 
 21.57 
 
 5 A1 2 3 
 18 Si0 2 
 
 24.54 
 51.97 
 
 25.20 
 52.74 
 
 H 2 
 
 0.87 
 
 0.49 
 
 100.00 100.00 100.00 
 
 100.00 100.00 
 
 From the results given in Tables III and IV there is clearly a substitution 
 of the mono- and di-valent elements in the type 
 
 R 10 (Si AT Si Al Si) 
 
 and in one case (Table IV, No. 27d) a change in the water-content, 
 (e) The formation of compounds of the type * 
 
 5.5 R 2 6 A1 2 O 3 16 Si0 2 = R u (Si Al Si Al Si). 
 
 On treating two molecules of K 2 O Si0 2 with one molecule of H 2 K 2 O 
 A1 2 3 LEMBERG obtained the substance 
 
 0.5 Na 2 5 K 2 6 A1 2 O 3 16 Si0 2 = NaK 10 "(Si Al Si Al Si) f 
 
 * Lemberg, I. c. 1876, pp. 574-5. 
 t Expt: 1, L c. p. 574. 
 
LEMBERG'S EXPERIMENTS 
 
 351 
 
 On treating this silicate for a further period of 7 or 18 days at the ordinary 
 temperature with variable quantities of solutions of sodium chloride, 
 potassium chloride, etc.,* LEMBERG obtained compounds whose analyses 
 corresponded to the general formula 
 
 5.5 R 2 6 A1 2 3 16 SiO 2 = R u (Si Al Si Al Si) 
 
 16 Si0 2 (Expt. 2b) 
 
 16 Si0 2 (Expts. la, Ig, 2a, 2c) 
 
 16Si0 2 (Expts, lb, If, 2d) 
 
 16 SiO 2 (Expts. Ic, le) 
 
 16Si0 2 (Expt. Id) 
 
 16 Si0 2 (Expt: 2) 
 
 16 Si0 2 (Expt. 4b) 
 
 16 Si0 2 (Expts. 4a, 4c) 
 
 16 Si0 2 (Expt. 4d) 
 
 16Si0 2 (Expt. 4) 
 
 16 Si0 2 (Expts. 3a, 3b, 3c) 
 
 16 Si0 2 (Expt. 3d) 
 
 16 Si0 2 (Expt. 3). 
 
 Na 2 
 
 4.5 K 2 
 
 6 A1 2 3 
 
 2Na 2 
 
 3.5 K 2 
 
 6 A1 2 3 
 
 2.5 Na 2 
 
 3K 2 
 
 6A1 2 3 - 
 
 3Na 2 O 
 
 2.5 K 2 O 
 
 6 A1 2 3 
 
 3.5 Na 2 O 
 
 2K 2 
 
 6 A1 2 O 3 
 
 5Na 2 O 
 
 0.5 K 2 O 
 
 6 A1 2 3 
 
 1.5 K 2 
 
 4 MgO 
 
 6 A1 2 3 - 
 
 2K 2 
 
 3.5 MgO 
 
 6 A1 2 3 
 
 2.5 K 2 O 
 
 3 MgO 
 
 6 A1 2 3 
 
 3K 2 
 
 2.5 MgO 
 
 6 A1 2 3 
 
 1.5 K 2 O 
 
 4 CaO 
 
 6 A1 2 3 
 
 2K 2 O 
 
 3.5 CaO 
 
 6 A1 2 3 
 
 2.25 K 2 
 
 3.25 CaO 
 
 6 A1 2 3 - 
 
 Theory. 
 
 1 
 
 0.5 Na 2 O 
 
 1.50 
 
 1.83 
 
 5K 2 
 
 22.67 
 
 22.75 
 
 6A1 2 3 
 
 29.52 
 
 29.38 
 
 16 Si0 2 
 
 46.31 
 
 46.04 
 
 100.00 100.00 
 
 Theory. 
 
 2b 
 
 Na 2 
 
 3.02 
 
 2.55 
 
 4.5 K 2 O 
 
 20.56 
 
 21.21 
 
 6A1 2 3 
 
 29.75 
 
 30.60 
 
 16 Si0 2 
 
 46.67 
 
 45.64 
 
 100.00 100.00 
 
 Theory. 
 
 la 
 
 Ig 
 
 2a 
 
 2c 
 
 2Na 2 
 3.5 K 2 
 
 6.12 
 16.25 
 
 6.41 
 16.00 
 
 6.67 
 15.40 
 
 5.98 
 16.37 
 
 5.91 
 16.79 
 
 6A1 2 3 
 16 Si0 2 
 
 30.22 
 47,41 
 
 29.99 
 47.60 
 
 29.88 
 48.05 
 
 30.40 
 47.25 
 
 30.30 
 47.00 
 
 100.00 100.00 100.00 100.00 100.00 
 
 Theory. 
 
 lb 
 
 If 
 
 2d 
 
 2.5 Na 2 
 
 7.72 
 
 7.54 
 
 7.52 
 
 7.54 
 
 3K 2 
 
 14.04 
 
 14.12 
 
 14.03 
 
 14.71 
 
 6A1 2 3 
 
 30.46 
 
 29.74 
 
 30.00 
 
 30.00 
 
 16 Si0 2 
 
 47.78 
 
 48.60 
 
 48.45 
 
 47.75 
 
 100.00 100.00 100.00 100.00 
 
 * In the cases mentioned the salt solutions were of a definite concentration. The 
 salts were: NaCl-, KC1-, MgCl a -, CaCl a -, (NaCl+KCl)-, (MgCl 2 -f-KCl)-, (CaCl a +KCl). 
 
352 
 
 LEMBERG'S EXPERIMENTS 
 
 
 Theory. 
 
 
 Ic 
 
 le 
 
 Theory. 
 
 
 Id 
 
 3 
 
 2.5 
 6 
 16 
 
 Na 2 O 
 K 2 
 A1 2 3 
 Si0 2 
 
 9.33 
 11.79 
 30.71 
 
 48.17 
 
 8.97 
 11.89 
 30.12 
 49.02 
 
 8.78 
 12.10 
 30.13 
 
 48.99 
 
 3.5 Na 2 10 
 2 K 2 9 
 6 A1 2 3 30. 
 16 Si0 2 48. 
 
 .97 
 
 .57 
 96 
 50 
 
 11.19 
 8.95 
 30.29 
 49.57 
 
 100.00 
 
 100.00 
 
 100.00 
 
 100.00 
 
 100.00 
 
 
 Theory. 
 
 
 2 
 
 
 Theory. 
 
 
 4b 
 
 5 
 0.5 
 6 
 16 
 
 Na 2 
 K 2 O 
 A1 2 3 
 Si0 2 
 
 16.07 
 2.43 
 31.73 
 49.77 
 
 15.60 
 3.21 
 31.20 
 49.99 
 
 
 1.5 K 2 7. 
 4 MgO 8. 
 6 A1 2 3 32, 
 16 Si0 2 51, 
 
 52 
 54 
 
 68 
 26 
 
 7.94 
 8.33 
 32.29 
 51.44 
 
 100.00 
 
 100.00 
 
 100 
 
 .00 
 
 100.00 
 
 
 Theory. 
 
 
 4a 
 
 4c 
 
 Theory. 
 
 
 4d 
 
 2 
 3.5 
 6 
 16 
 
 K 2 O 
 MgO 
 A1 2 3 
 Si0 2 
 
 9.89 
 7.36 
 32.22 
 50.53 
 
 10.03 
 6.97 
 31.72 
 51.28 
 
 10.01 
 7.03 
 31.60 
 51.36 
 
 2.5 K 2 12. 
 3 MgO 6. 
 6 A1 2 3 31, 
 16 Si0 2 49. 
 
 19 
 23 
 76 
 
 82 
 
 11.59 
 6.37 
 31.69 
 50.35 
 
 100.00 
 
 100.00 
 
 100.00 
 
 100. 
 
 00 
 
 100.00 
 
 Theory. 
 
 4 
 
 
 
 
 
 
 3 K 2 
 2.5 MgO 
 6 A1 2 3 
 
 14.43 
 5.12 
 31.32 
 
 13.72 
 4.94 
 31.80 
 
 
 
 
 
 
 16 Si0 2 
 
 49.13 
 
 49.19 
 
 
 
 100.00 
 
 99.65 
 
 Theory. 
 
 3a 
 
 3b 3o 
 
 
 
 
 1.5 
 
 K 2 O 
 
 7.28 
 
 7.75 
 
 6.42 7.32 
 
 
 
 
 4 
 
 CaO 
 
 11.57 
 
 11.07 
 
 12.14 10.99 
 
 
 
 
 6 
 16 
 
 A1 2 3 
 Si0 2 
 
 31.60 
 49.55 
 
 30.91 
 50.27 
 
 31.20 31.00 
 50.24 50.79 
 
 
 
 100.00 
 
 100.00 
 
 100.00 100.10 
 
 
 Theory. 
 
 
 3d 
 
 
 Theory. 
 
 
 3 
 
 2 
 3.5 
 
 K 2 
 CaO 
 
 9.61 
 10.02 
 
 8.81 
 10.10 
 
 
 2.25 K 2 10. 
 3.25 CaO 9. 
 
 76 
 26 
 
 10.87 
 9.22 
 
 6 
 16 
 
 A1 2 3 
 Si0 2 
 
 31.29 
 
 49.08 
 
 31.03 
 50.06 
 
 
 6 A1 2 3 31. 
 16 SiO 2 48. 
 
 13 
 
 85 
 
 30.64 
 49.23 
 
 100.00 100.00 
 
 100.00 99.96 
 
THE TOPAZ GROUP 
 
 353 
 
 The Topaz Group 
 
 The following analyses of the Topazes conform to compounds of the type 
 
 Al - Si Al = 6 A1 2 3 6 SiO 2 
 and to the following formulae : 
 
 (a) SieAluO* F1 8 , 
 
 (b) Si 6 Al 12 25 . 5 Fl 9 , 
 
 (c) Si 6 Al 12 25 F1 10 , 
 
 (d) SieAl^O^gFl^, 
 
 (e) Si 6 Al 12 24 F1 12 . 
 
 
 SiOj 
 
 A1 2 3 
 
 Fl 
 
 Total 
 
 Source 
 
 Analyst 
 
 (a) Si 6 Al 12 26 Fl 8 . 
 
 Theory 
 
 33.97 
 
 57.74 
 
 14.34 
 
 106.05 
 
 
 
 
 
 I 
 
 34.24 
 
 57.45 
 
 14.99 
 
 107.37 
 
 Schneckenstein 
 
 Berzelius 1 * 
 
 XII 
 
 34.36 
 
 57.74 
 
 15.02 
 
 107.12 
 
 Finbo 
 
 Berzelius 2 
 
 XXII 
 
 34.01 
 
 58.38 
 
 15.06 
 
 107.45 
 
 Brazil 
 
 Berzelius 3 
 
 (b) Si 6 Al 12 25 . 5 Fl 9 . 
 
 Theory 
 
 33.62 
 
 57.14 
 
 15.97 
 
 106.73 
 
 
 
 
 
 XXIV 
 
 33.73 
 
 57.39 
 
 16.12 
 
 107.24 
 
 Brazil 
 
 Rammelsberg 4 
 
 XXV 
 
 33.15 
 
 57.01 
 
 16.04 
 
 106.20 
 
 Pikes Peak 
 
 Hillebrand 6 
 
 (c) Si 6 Al 12 25 Fl 10 . 
 
 Theory 
 
 33.25 
 
 56.55 
 
 17.56 
 
 107.36 
 
 
 
 
 
 IV 
 
 33.35 
 
 56.53 
 
 17.69 
 
 107.57 
 
 Altenberg 
 
 Klemm 8 
 
 V 
 
 33.23 
 
 56.20 
 
 17.37 
 
 106.80 
 
 Altenberg 
 
 Klemm 7 
 
 VI 
 
 33.38 
 
 56.32 
 
 17.26 
 
 106.96 
 
 Altenberg 
 
 Klemm 8 
 
 XIV 
 
 33.72 
 
 56.10 
 
 17.20 
 
 107.02 
 
 Finbo 
 
 Klemm 9 
 
 XV 
 
 33.57 
 
 56.30 
 
 17.00 
 
 106.87 
 
 Finbo 
 
 Klemm 10 
 
 XVI 
 
 33.64 
 
 56.24 
 
 17.12 
 
 107.00 
 
 Finbo 
 
 Klemm 11 
 
 XVIII 
 
 33.68 
 
 56.36 
 
 17.11 
 
 107.15 
 
 Miask 
 
 Klemm 18 
 
 XIX 
 
 33.19 
 
 56.72 
 
 17.09 
 
 107.00 
 
 Miask 
 
 Klemm 13 
 
 XXI 
 
 33.24 
 
 57.02 
 
 17.64 
 
 108.73 
 
 Tasmania 
 
 Sommerland 1 ' 
 
 (d) Si 6 Al 12 24 . 5 Fl n . 
 
 Theory 
 
 32.93 
 
 55.97 
 
 19.12 
 
 108.02 
 
 
 
 
 
 III 
 
 33.53 
 
 56.54 
 
 18.62 
 
 108.69 
 
 Schneckenstein 
 
 Rammelsberg 15 
 
 X 
 
 32.28 
 
 55.86 
 
 18.28 
 
 106.42 
 
 Zinnwald 
 
 Rammelsberg 1 ' 
 
 XI 
 XX 
 
 33.27 
 33.56 
 
 56.76 
 56.28 
 
 18.54 
 18.30 
 
 108.67 
 106.14 
 
 Schlaggenwald 
 Adun-Tschilon 
 
 Rammelsberg 17 
 Rammelsberg x 8 
 
 * References to the Literature are given on p. 438 et eeq. 
 
 2 A 
 
354 
 
 THE EPIDOTES 
 
 The Epidotes 
 
 The following analyses of the Epidotes conform to compounds of the type 
 
 Si Al Al Si = 6 A1 2 3 12 Si0 2 
 or to the general formula : 
 
 4 
 
 H 2 0- 
 
 (a) 
 (b) 
 (c) 
 (d) 
 (e) 
 (f) 
 (g) 
 (h) 
 (i) 
 
 16 
 4 
 4 
 4 
 4 
 4 
 4 
 4 
 4 
 4 
 
 CaO 
 H 2 
 H 2 
 H 2 
 H 2 O 
 H 2 
 H 2 
 H 2 
 H 2 
 H 2 
 
 2 (6 R 2 
 - 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 16 CaO 
 
 3 12 Si0 2 ) 
 2 Fe 2 3 
 2.25 Fe 2 3 
 2.5 Fe 2 O 3 - 
 2.75 Fe 2 O 3 
 3Fe 2 3 - 
 3.25 Fe 2 3 
 3.5 Fe 2 3 
 3.75 Fe 2 3 
 4 Fe 2 3 
 
 (12 R 2 3 = 
 10 A1 2 3 
 9.75 A1 2 3 
 9.5 A1 2 3 
 9.25 A1 2 O 3 
 9A1 2 3 - 
 8.75 A1 2 3 
 8.5 A1 2 O 3 
 8.25 A1 2 3 
 8 A1 2 3 
 
 mFe 2 3 nAl 2 3 ). 
 24 SiO 2 . 
 24Si0 2 . 
 24Si0 2 . 
 24 Si0 2 . 
 24Si0 2 . 
 24 SiO 2 . 
 24Si0 2 . 
 24 Si0 2 . 
 24Si0 2 . 
 
 
 Si0 2 
 
 A1 2 0, 
 
 Fe a O s 
 
 CaO 
 
 H a O 
 
 FeO 
 
 Total 
 
 Source 
 
 Analyst 
 
 (a) 4 H 2 16 CaO 2 Fe 2 3 10 A1 2 O 3 24 Si0 2 . 
 
 Theory 
 
 38.44 
 
 27.21 
 
 8.54 
 
 23.90 
 
 1.91 
 
 
 100.00 
 
 
 
 
 
 III 
 
 39.18 
 
 26.52 
 
 8.21 
 
 23.89 
 
 2.20 
 
 
 100.00 
 
 Zoptau 
 
 Nanke 1 * 
 
 XVI 
 
 38.42 
 
 26.62 
 
 8.72 
 
 23.66 
 
 2.46 
 
 
 99.88 
 
 Sustenhorn 
 
 Stockar-Escher 2 
 
 XVII 
 
 38.43 
 
 26.18 
 
 8.77 
 
 24.13 
 
 2.46 
 
 
 99.97 
 
 Sustenhorn 
 
 Stockar-Escher 3 
 
 XX 
 
 37.66 
 
 27.36 
 
 8.90 
 
 23.90 
 
 2.33 
 
 
 100.15 
 
 Caverdiras 
 
 Stockar-Escher* 
 
 XXI 
 
 38.08 
 
 27.74 
 
 8.27 
 
 23.53 
 
 2.04 
 
 
 99.66 
 
 Maggiatal 
 
 Stockar-Escher 5 
 
 XXII 
 
 38.28 
 
 27.53 
 
 8.66 
 
 22.87 
 
 2.41 
 
 
 99.75 
 
 Formarzatal? 
 
 Stockar-Escher 6 
 
 XLIV 
 
 37.92 
 
 27.90 
 
 9.10 
 
 22.81 
 
 2.02 
 
 
 99.75 
 
 Pargas 
 
 Wilk 7 
 
 (b) 4 H 2 16 CaO 2.25 Fe 2 O 3 9.75 A1 2 3 24 Si0 2 . 
 
 Theory 
 
 38.28 
 
 26.43 
 
 9.57 
 
 23.81 
 
 1.91 
 
 
 100.00 
 
 
 
 
 
 XIV 
 
 37.96 
 
 26.35 
 
 9.71 
 
 23.77 
 
 2.02 
 
 
 99.81 
 
 Guttannen 
 
 Stockar-Escher 8 
 
 XV 
 
 38.13 
 
 26.42 
 
 9.74 
 
 23.30 
 
 2.02 
 
 
 99.61 
 
 Guttannen 
 
 Stockar-Escher 9 
 
 XXXIV 
 
 37.87 
 
 24.72 
 
 9.96 
 
 23.10 
 
 2.82 
 
 0.36 
 
 100.14a 
 
 Mainland 
 
 Heddle 10 
 
 (c) 4 H 2 O 16 CaO 2.5 Fe 2 O 3 9.5 A1 2 O 3 24 Si0 2 . 
 
 Theory 
 
 38.13 
 
 25.65 
 
 10.59 
 
 23.72 
 
 1.91 
 
 
 100.00 
 
 
 
 
 
 XIII 
 
 38.99 
 
 25.75 
 
 9.99 
 
 23.76 
 
 2.05 
 
 0.61 MgO 
 
 100.16 
 
 Guttannen 
 
 Scheerer 11 
 
 XLI 
 
 38.84 
 
 25.45 
 
 10.88 
 
 22.62 
 
 2.41 
 
 
 100.20 
 
 Arendal 
 
 Richter 12 
 
 (d) 4 H 2 O 16 CaO 2.75 Fe 2 3 9.25 A1 2 3 24 Si0 2 . 
 
 Theory 
 
 38.00 
 
 24.90 
 
 11.60 
 
 23.62 
 
 1.88 
 
 
 
 100.00 
 
 _ i _ 
 
 LIII 
 
 37.47 
 
 24.09 
 
 10.60 
 
 22.19 
 
 2.24 
 
 2.81 
 
 99.40 
 
 Achtenskoi Hermann 1 3 
 
 LIX 
 
 38.20 
 
 24.62 
 
 12.20 
 
 21.59 
 
 2.16 
 
 0.57 MnO 
 
 99.846 
 
 Rowe, Mass. JA. G. Dana 14 
 
 (e) 4 H 2 16 CaO 3 Fe 2 3 9 A1 2 3 24 Si0 2 . 
 
 Theory 
 
 37.84 
 
 24.12 
 
 12.61 
 
 23.54 
 
 1.89 
 
 
 
 100.00 
 
 
 
 
 
 VIII 
 
 38.60 
 
 23.08 
 
 12.34 
 
 24.17 
 
 1.88 
 
 0.95 
 
 101.02 
 
 Sulzbachtal 
 
 Mauthner 15 
 
 IX 
 
 36.90 
 
 24.36 
 
 12.40 
 
 23.54 
 
 2.01 
 
 0.72 
 
 lOO.OOe 
 
 Sulzbachtal 
 
 Laspeyres 18 
 
 XXXII 
 
 38.26 
 
 24.75 
 
 11.07 
 
 23.63 
 
 2.26 
 
 0.56 
 
 100.53 
 
 Quenast 
 
 Renard 17 
 
 XXXVII 
 
 37.32 
 
 22.85 
 
 11.56 
 
 22.13 
 
 2.93 
 
 1.86 
 
 99.32d 
 
 Arendal 
 
 Hermann 18 
 
 a Inch 0.54 MnO 0.77 MgO. 
 
 6 Inol. 0.07 MnO. 
 
 * For references see p. 438. 
 
 c. Inch 0.13 MgO 0.37 Alkalies. 
 d Incl. 0.77 MgO. 
 
THE GRANITES 
 
 355 
 
 
 SiO, 
 
 A1.0, 
 
 Fe 2 8 
 
 CaO 
 
 HO 
 
 FeO 
 
 Total 
 
 Source 
 
 Analyst 
 
 (f) 4 H 2 O 16 CaO 3.25 Fe 2 O 3 8.75 A1 2 O 3 24 Si0 2 . 
 
 Theory 
 
 37.70 
 
 23.37 
 
 13.601 23.45 
 
 1.881 
 
 100.00 
 
 
 
 
 IV 
 
 38.37 
 
 22.09 
 
 13.77 22.90 
 
 2.11 
 
 99.24 
 
 Sulzbachtal 
 
 v. Drasche 19 
 
 VI 
 
 37.83 
 
 23.43 
 
 13.3l| 23.47 
 
 2.06| 0.48 
 
 100.58 
 
 Sulzbachtal 
 
 Ludwig 80 
 
 (g) 4 H 2 16 CaO - 3.5 Fe 2 O 3 8.5 A1 2 O 3 24 Si0 2 . 
 
 Theory 
 
 37.55 
 
 22.61 
 
 14.60 
 
 23.36 
 
 1.88 
 
 
 100.00 
 
 
 
 
 V 
 XXX 
 
 LVIII 
 
 37.83 
 36.71 
 37.04 
 
 22.63 
 22.61 
 22.99 
 
 14.02 
 14.47 
 14.19 
 
 23.27 
 23.67 
 24.09 
 
 2.05 
 1.92 
 2.16 
 
 0.93 
 0.62 
 
 100.73 
 100.00 
 100.47 
 
 Sulzbachtal 
 "Bourg d'Osians" 
 Hereroland 
 
 Ludwig 21 
 Laspeyres 22 
 Wulf 23 
 
 (h) 4 H 2 16 CaO 3.75 Fe 2 3 8.25 A1 2 O 3 24 Si0 2 . 
 
 Theory 
 
 37.40 
 
 21.861 15,59 
 
 23.28 
 
 1.87 
 
 
 100.00 
 
 
 
 
 VII 
 
 37.11 
 
 21.90| 16,00 
 
 23.19 
 
 2.03 
 
 
 100.23 
 
 Sulzbachtal 
 
 Rammelsberg 24 
 
 (i) 4 H 2 16 CaO 4 Fe 2 O 3 8 A1 2 3 24 Si0 2 . 
 
 Theory 
 
 37.27 
 
 21.11 16.56 23.1911.87 
 
 __ 
 
 100.00 _ 
 
 XXIII 
 
 37.65 
 
 20.64 
 
 16.50 
 
 22.32 2.06 
 
 0.49MnO 
 
 100.12 
 
 Traversella 
 
 Scheerer 25 
 
 XXVIII 
 XXIX 
 XXXVII 
 XL 
 
 37.56 
 37.35 
 38.76 
 37.59 
 
 20.78 
 22.02 
 20.36 
 20.73 
 
 16.49 
 15.67 
 16.35 
 16.57 
 
 22.70 
 22.54i 
 23.71 
 22.64 
 
 2.09 
 2.35 
 2.00 
 2.11 
 
 0.29 MgO 
 
 0.44 MgO 
 0.41 MgO 
 
 99.91 
 99.93 
 101.67 
 100.05 
 
 "Bourg d'Osians" 
 "Bourg d'Osians" 
 Arendal 
 Arendal 
 
 Scheerer 26 
 Stockar-Escher 27 
 Rammelsberg 2 8 
 Scheerer* 9 
 
 The Granite Group 
 
 A number of Granites examined by K. H. Schneer may be expressed by 
 
 the general formula : 
 
 18 RO 6 R 2 3 18 Si0 2 and 16 RO 6 R 2 3 16 Si0 2 
 as may be ascertained from the following Table : 
 
 % Molecules 
 
 No. 
 
 CaO 
 
 FeO 
 
 MnO 
 
 A1.0, 
 
 Fe 2 0, 
 
 SiO a 
 
 H,0 || CaO 
 
 FeO 
 
 MnO 
 
 A1.0, 
 
 Fe,0,|siO,|H,O 
 
 Theory 
 
 33.25 
 
 1.22 
 
 
 
 6.92 
 
 21.72 
 
 36.89 
 
 
 
 
 
 
 
 
 
 1 
 
 33.59 
 
 1.17 
 
 
 
 7.44 
 
 20.94 
 
 36.56 
 
 
 
 17.5 
 
 0.5 
 
 
 
 2 
 
 4 
 
 18 
 
 
 
 Theory 
 
 32.12 
 
 1.82 
 
 0.60 
 
 6.88 
 
 21.59 
 
 36.68 
 
 0.31 
 
 
 
 
 
 
 
 
 2 
 
 32.36 
 
 1.91 
 
 0.48 
 
 7.35 
 
 21.58 
 
 36.33 
 
 0.48 
 
 17 
 
 0.75 
 
 0.25 
 
 2 
 
 4 
 
 18 
 
 0.5 
 
 Theory 
 
 32.12 
 
 2.43 
 
 
 
 6.88 
 
 21.59 
 
 36.68 
 
 0.30 
 
 
 
 
 
 
 
 
 3 
 
 31.51 
 
 2.88 
 
 
 
 7.07 
 
 22.51 
 
 35.97 
 
 0.25 
 
 17 
 
 1 
 
 
 
 2 
 
 4 
 
 18 
 
 0.5 
 
 Theory 
 
 33.52 
 
 1.25 
 
 0.61 
 
 12.39 
 
 13.88 
 
 37.73 
 
 0.62 
 
 
 
 
 
 
 
 
 4 
 
 33.55 
 
 1.68 
 
 0.28 
 
 11.99 
 
 14.79 
 
 37.53 
 
 0.48 
 
 17.25 
 
 0.5 
 
 0.25 
 
 3.5 
 
 2.5 
 
 18 
 
 1 
 
 Theory 
 
 34.22 
 
 1.25 
 
 
 
 13.36 
 
 12.57 
 
 37.96 
 
 0.64 
 
 
 
 
 
 
 
 
 5 
 
 34.01 
 
 1.71 
 
 0.54 
 
 13.29 
 
 13.01 
 
 37.52 
 
 0.53 
 
 17.5 
 
 0.5 
 
 
 
 3.75 
 
 2.25 
 
 18 
 
 1 
 
 Theory 
 
 32.46 
 
 3.85 
 
 
 16.37 
 
 8.56 
 
 38.76 
 
 
 
 
 
 
 
 
 
 
 6 
 
 31.98 
 
 4.46 
 
 0.57 
 
 16.29 
 
 8.73 
 
 37.96 
 
 0.22 
 
 16.25 
 
 1.75 
 
 
 
 4.5 
 
 1.5 
 
 18 
 
 
 
 Theory 
 
 32.05 
 
 2.74 
 
 
 
 13.72 
 
 14.60 
 
 36.89 
 
 
 
 
 
 
 
 
 
 
 7 
 
 32.73 
 
 2.54 
 
 
 
 13.73 
 
 14.03 
 
 37.18 
 
 
 
 15 
 
 1 
 
 
 
 3.75 
 
 2.25 
 
 16 
 
 
356 
 
 THE MESOLITES 
 
 The 
 
 The following analyses of the 
 
 (a) S Al - Si Al S = 6 A1 2 3 15 Si0 2 , 
 
 (b) Si Al Si Al Si = 6 A1 2 3 16 Si0 2 , 
 
 (a) Mesolites of the type 
 Sf Al Si Al Si = 6 A1 2 3 15 Si0 2 , 
 
 
 
 
 Source 
 
 Analyst 
 
 1 
 
 9 MO 
 
 2(6A1 2 O 3 - 
 
 15 SiO 2 ) 
 
 36H 2 O 
 
 9MO = 3Na 2 
 
 6CaO 
 
 Antrimolite 
 Bengune 
 
 Thomson 
 
 2 
 
 11 MO 
 
 2 (6 A1 2 O 3 
 
 15SiO 2 ) 
 
 26H 2 O 
 
 HMO = 5Na 2 O 
 
 6CaO 
 
 Eisenach 
 
 Luedecke 
 
 (b) Mesolites of the type 
 Si -Al - Si Al Si = 6 A1 2 3 16 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 3 
 
 10 MO - 2 (6 A1 2 O 3 16 SiO 2 ) 30 H 2 O 
 
 10MO=4Na 2 O-6CaO 
 
 Sandy Cove, N.S. 
 
 Marsh 
 
 4 
 
 11 MO 2 (6 A1 2 O 3 16 SiO 2 ) 40 H 2 O 
 
 HMO = 5Na 2 O-6CaO 
 
 Caranja Isle 
 
 Thomson 
 
 5 
 
 12 MO 2 (6 A1 2 O 3 16 SiO 2 ) 24 H 2 O 
 
 12MO = 4Na 2 O-8CaO 
 
 Harringtonite 
 
 Thomson 
 
 (c) Mesolites of the type 
 Si Al Si Al - Si = 6 A1 2 3 17 Si0 2 
 
 
 
 Source 
 
 Analyst 
 
 6 
 
 9 MO 2 (6 A1 2 O 3 17 SiO 2 ) 32 H 2 O 
 
 9 MO = 2 Na 2 O 7 CaO Iceland 
 
 Fuchs & Gehlen 
 
 7 
 
 11 MO 2 (6 A1 2 O 3 17 SiO 2 ) 30H 2 O 
 
 1 1 MO = 4 Na 2 O 7 CaO Iceland 
 
 Breidenstein 
 
 (d) Mesolites of the type 
 Si Al Si Al Si = 6 A1 2 3 18 Si0 2 
 
 
 1 
 
 Source 
 
 Analyst 
 
 8 
 
 12 MO- 2(6 A1 2 O 3 - 18 SiO 2 ) 30H 2 O 
 
 12MO = 4 Na 2 O 8 CaO 
 
 Niederkirchen 
 
 Riegel 
 
 9 
 10 
 11 
 12 
 13 
 
 99 99 99 
 99 99 99 
 99 99 99 
 99 99 99 
 
 99 9 
 99 9 
 99 9 
 99 9 
 99 9 
 
 Tirol 
 Antrimolite / 
 Bengune \ 
 Skye 
 Skye 
 
 Fuchs & Gehlen 
 Heddle 
 Heddle 
 Heddle 
 Heddle 
 
THE MESOLITES 
 
 357 
 
 Mesolites 
 
 Mesolites conform to the following types : 
 
 (c) Si Al Si Al Si = 6 A1 2 3 
 
 (d) Si Ai S*i Al Si = 6 A1 2 3 
 
 or the general formula 
 
 m MO 2 (6 A1 2 3 15 Si0 2 ) n H 2 0. 
 
 17 SiO, 
 
 18 SiO, 
 
 
 SiO, 
 
 Al,0, 
 
 CaO 
 
 Na,0 
 
 H,0 
 
 MgO 
 
 Total 
 
 Theory 
 VII 
 
 42.92 
 43.47 
 
 29.18 
 30.26 
 
 8.01 
 7.50 
 
 4.43 
 4.10* 
 
 15.46 
 15.32 
 
 0.19 FeO 
 
 100.00 
 100.94 
 
 Theory 
 II 
 
 43.50 
 43.83 
 
 29.57 
 29.04 
 
 8.12 
 
 7.84 
 
 7.49 
 
 7.80 
 
 11.31 
 11.75 
 
 z 
 
 100.00 
 100.26 
 
 or the general formula 
 
 m MO 2 (6 A1 2 3 16 Si0 2 ) 
 
 nHoO. 
 
 
 Si0 2 
 
 A1,0 S 
 
 CaO 
 
 Na a O 
 
 H,0 
 
 MgO 
 
 Total 
 
 Theory 
 XXXII 
 
 44.98 
 45.39 
 
 28.68 
 28.09 
 
 7.87 
 7.55 
 
 5.81 
 5.28 
 
 12.66 
 12.71 
 
 0.49 K 2 O 
 
 100.00 
 99.51 
 
 Theory 
 XXXIX 
 
 42.58 
 42.70 
 
 27.14 
 27.50 
 
 7.45 
 7.61 
 
 6.87 
 7.00 
 
 15.96 
 14.71 
 
 
 
 100.00 
 99.52 
 
 Theory 
 XI 
 
 44.95 
 
 44.84 
 
 28.65 
 28.48 
 
 11.21 
 10.68 
 
 5.80 
 5.56 
 
 10.11 
 10.28 
 
 
 
 100.00 
 99.84 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 17 Si0 2 ) 
 
 nHoO. 
 
 
 SiO, 
 
 Al,0 8 
 
 CaO 
 
 Na,0 | H,0 
 
 MgO 
 
 Total 
 
 Theory 
 XXVI 
 
 46.83 
 46.58 
 
 28.10 
 27.57 
 
 9.00 
 9.10 
 
 2.84 
 3.64 
 
 13.83 
 13.17 
 
 0.03 
 
 100.00 
 100.14 
 
 Theory 
 XXIII 
 
 45.90 
 
 45.78 
 
 27.54 
 27.53 
 
 8.82 
 9.00 
 
 5.58 
 5.03 
 
 12.15 
 12.30 
 
 0.31 K,O 
 
 100.00 
 100.13 
 
 or the general formula 
 
 m MO 2 (6 A1 2 3 18 SiO 2 ) n H 2 O. 
 
 
 SiO, 
 
 Al,0, 
 
 CaO 
 
 Na,0 
 
 H,0 
 
 MgO 
 
 Total 
 
 Theory 
 
 V 
 VIII 
 IX 
 XIII 
 XIV 
 
 46.76 
 46.65 
 46.04 
 47.07 
 45.98 
 46.70 
 46.72 
 
 26.49 
 27.40 
 27.00 
 26.23 
 26.18 
 26.62 
 26.70 
 
 9.70 
 9.26 
 9.61 
 
 9.88 
 10.78 
 9.08 
 8.90 
 
 5.37 
 4.91 
 5.20 
 4.89 
 4.54 
 5.39 
 5.40 
 
 11.68 
 12.00 
 12.36 
 12.24 
 13.00 
 12.83 
 12.92 
 
 
 
 100.00 
 100.22 
 100.21 
 100.31 
 100.48 
 100.63 
 100.64 
 
 * Determined by Thomson as K a O. 
 
358 
 
 THE CLINTONITES 
 
 
 
 
 Source 
 
 Analyst 
 
 
 12MO2(6A1 2 O S -18 SiO 2 )-30H 2 O 
 
 12MO = 4Na 2 O-8CaO 
 
 
 
 14 
 
 
 
 
 
 
 
 
 
 
 Skye 
 
 Heddle 
 
 15 
 
 
 
 
 
 
 
 
 
 
 NaalsjO 
 
 Berzelius 
 
 16 
 
 
 
 
 
 
 
 
 
 
 NaalsjS 
 
 Heddle 
 
 17 
 
 
 
 
 
 
 
 
 
 
 Naalsjo 
 
 Fuchs and Gehlen 
 
 18 
 
 
 
 
 
 
 
 
 
 
 Naalsjo 
 
 Durscher 
 
 19 
 
 
 
 
 
 
 
 
 
 
 StromO 
 
 E. E. Schmid 
 
 20 
 
 
 
 
 
 
 
 
 
 
 Berufjord 
 
 S. v. Waltershausen 
 
 21 
 
 
 
 
 
 
 
 
 
 
 Iceland 
 
 Fuchs and Gehlen 
 
 22 
 
 
 
 
 
 
 
 
 
 
 Iceland 
 
 Fuchs and Gehlen 
 
 23 
 
 
 
 
 
 
 
 
 
 
 Iceland 
 
 E. E. Schmid 
 
 24 
 
 
 
 
 
 
 
 
 
 
 Iceland 
 
 Lemberg 
 
 25 
 
 
 
 
 
 
 
 
 
 
 Port George, N.S. 
 
 How 
 
 26 
 
 
 
 
 
 
 
 
 
 
 Port George, N.S. 
 
 How 
 
 27 
 
 
 
 
 
 
 
 
 
 
 Cape Blomidon 
 
 Marsh 
 
 28 
 
 
 
 
 
 
 
 
 
 
 Atacama, Chili 
 
 Darapsky 
 
 29 
 
 14MO2(6 Al 2 O 8 -18SiO 2 H4H 2 O 
 
 14MO = 3Na 2 0-llCaO 
 
 Fritz Island, Pa. 
 
 Sadtler 
 
 The 
 
 The following analyses of the minerals of the 
 
 = 5R,O a - 6Si0 2 , 
 12 Si0 2 , 
 6 Si0 2 , 
 12 Si0 2 , 
 
 Si = 6 R,0 a 16 Si0 2 , 
 18 Si0 2 . 
 
 A. 
 B. 
 C. 
 D. 
 E. 
 F. 
 
 R 
 R 
 
 R 
 R 
 
 Si 
 
 Si 
 
 & 
 
 si- 
 
 Si- 
 Si- 
 R. 
 R. 
 
 R 
 
 Si 
 R 
 Si 
 
 Si 
 
 Si 
 
 R 
 
 R 
 R 
 -R 
 
 2 ^3 
 
 = 5R 2 3 
 = 6 R 2 3 
 - 6 R 2 3 
 6R 2 3 
 6R 0, 
 
 A. Compounds of the type 
 R . Si R = 5 R 2 3 6 Si0 2 
 
 
 
 j 
 
 Source 
 
 Analyst 
 
 1 
 
 12M02 (5 Al 2 3 -6Si0 2 )-12H 2 
 
 12MO = 8FeO -4MgO 
 
 St. Marcel 
 
 Kobell 
 
 2 
 
 13MO-2 (5 Al 2 O 3 -6 SiO 2 )-9 H 2 O 
 
 13MO = 10FeO-2.5 MgO-0.5 MnO 
 
 Leeds, Canada 
 
 Hunt 
 
 B. Compounds of the type 
 R si Si R = 5 R 2 3 12 Si0 2 
 
 Source 
 
 Analyst 
 
 3 13MO-2(5 Al 2 O 3 -12SiO 2 )-llH 2 o| 13MO = 9.25FeO3.75 MgO St. Marcel Damour 
 
THE CLINTONITE GROUP 359 
 
 
 SiO, 
 
 Al,0, 
 
 CaO 
 
 Na 2 O 
 
 H,0 
 
 MgO 
 
 Total 
 
 Theory 
 
 46.76 
 
 26.49 
 
 9.70 
 
 5.37 
 
 11.68 
 
 
 
 100.00 
 
 XV 
 
 46.26 
 
 26.48 
 
 10.00 
 
 4.98 
 
 13.04 
 
 
 
 100.76 
 
 XVII 
 
 46.80 
 
 26.50 
 
 9.87 
 
 5.40 
 
 12.30 
 
 
 
 100.87 
 
 XVIII 46.80 
 
 26.46 
 
 9.08 
 
 5.14 
 
 12.28 
 
 
 
 99.76 
 
 XIX 47.00 
 
 26.13 
 
 9.35 
 
 5.47 
 
 12.25 
 
 
 
 100.20 
 
 XX 
 
 47.50 
 
 26.10 
 
 9.15 
 
 4.57 
 
 12.80 
 
 
 
 100.12 
 
 XXI 
 
 47.40 
 
 27.05 
 
 9.16 
 
 4.69 
 
 12.69 
 
 0.06 
 
 101.05 
 
 XXII 
 
 46.41 
 
 26.24 
 
 9.68 
 
 4.46 
 
 13.76 
 
 0.01 
 
 100.97 
 
 XXIV 
 
 46.78 
 
 25.66 
 
 10.06 
 
 4.79 
 
 12.31 
 
 
 99.60 
 
 XXV 
 
 47.46 
 
 25.35 
 
 10.04 
 
 4.87 
 
 12.41 
 
 
 
 100.13 
 
 XXVII 
 
 47.13 
 
 26.52 
 
 10.36 
 
 4.50 
 
 12.59 
 
 
 
 101.12 
 
 XXVIII 
 
 45.96 
 
 26.69 
 
 9.48 
 
 5.09 
 
 12.78 
 
 
 
 100.00 
 
 XXIX 
 
 46.66 
 
 26.48 
 
 9.63 
 
 4.83 
 
 12.25 
 
 
 
 99.85 
 
 XXX 
 
 46.71 
 
 26.68 
 
 9.55 
 
 5.68 
 
 11.42 
 
 
 
 100.04 
 
 XXXI 
 
 45.89 
 
 27.55 
 
 9.13 
 
 5.09 
 
 12.79 
 
 0.48 K 2 
 
 100.93 
 
 XXXVI 
 
 46.74 
 
 25.99 
 
 9.11 
 
 5.23 
 
 12.41 
 
 
 
 99.48 
 
 Theory 
 
 43.39 
 
 24.59 
 
 12.37 
 
 3.73 
 
 15.92 
 
 _ 
 
 100.00 
 
 XXXIII 
 
 43.29 
 
 25.02 
 
 12.15 
 
 3.40 
 
 16.01 
 
 
 
 99.87 
 
 Glintonite Group * 
 
 Clintonite group conform to the following types : 
 
 G. Sl 
 
 = 7.5 R0 6 Si0 
 
 23 
 
 H. R Si R S A i R = 8 R 2 3 12 Si0 2 , 
 
 Jk 
 
 J. SI^-R = 9R 2 3 - 6Si0 2 , 
 
 X R 
 K. R Si R Si R = 9 R 2 3 12 Si0 2 . 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 6 Si0 2 ) n H 2 0. 
 
 
 SiO, 
 
 A1 2 0, 
 
 Fe,0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H,O Total 
 
 Theory 
 IX 
 
 26.74 
 25.75 
 
 37.89 
 37.50 
 
 ~ 
 
 21.40 
 21.00 
 
 z 
 
 5.94 
 6.20 
 
 - 
 
 8.03 
 7.80 
 
 100.00 
 
 98.25 
 
 Theory 
 XXXI 
 
 26.12 
 26.30 
 
 36.99 
 37.10 
 
 ~ 
 
 26.11 
 25.92 
 
 1.28 
 0.93 
 
 3.62 
 3.66 
 
 - 
 
 5.88 
 6.10 
 
 100.00 
 100.01 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 12.Si0 2 ) n H 2 0. 
 
 SiO, 
 
 A1 2 8 
 
 Fe 2 0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H 2 
 
 * Known in Germany as the Sprodglimmer or "brittle micas." 
 
 Total 
 
 Theory 
 XI 
 
 26.23 37.27 
 25.50 38.13 
 
 
 
 24.27 
 23.58 
 
 
 
 5.11 
 5.19 
 
 
 
 7.22 
 6.90 
 
 100.00 
 99.30 
 
360 
 
 THE CLINTONITE GROUP 
 
 C. Compounds of the type 
 R- Si R = 6R 2 3 6Si0 2 
 
 
 
 
 Source 
 
 4 
 
 10 MO 2(6 B 2 O 3 6 SiO 2 ) - 10 H 2 O 
 
 10MO = 7FeO-3MgO 
 12 R 2 3 = 8.75 A1 2 3 3.25 Fe 2 O 3 
 
 Kossoibrod. 
 
 5 
 6 
 
 11 MO 2(6 R 2 3 6 Si0 2 ) 10 H 2 O 
 11 MO 2(6 R 2 O 3 6 Si0 2 ) 10 H 2 O 
 
 11 MO = 5 MgO 5.5 FeO 0.5 CaO 
 12 R 2 3 = 11.25 A1 2 3 0.75 Fe 2 O 3 
 
 11 MO = 4.75 MgO 0.25 MnO 5.5 FeO 
 0.5 CaO 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 St. Marcel 
 Shetland 
 
 7 
 
 11 MO - 2(6 A1 2 3 6 Si0 2 )- 12 H 2 O 
 
 HMO = llFeO 
 
 St. Marcel. 
 
 8 
 
 12MO-2(6Al 2 3 -6Si0 2 ) 
 
 12MO = 12FeO 
 
 Kossoibrod. 
 
 9 
 
 12 MO 2(6 A1 2 O 3 6 SiO 2 )- 10 H 2 O 
 
 12 MO = 1 1.5 FeO 0.5 H 2 O 
 
 Gumuch-Dagh 
 
 10 
 11 
 
 12 MO 2(6 A1 2 O 3 - 6 SiO 2 ) 10 H 2 O 
 12 MO 2(6 A1 2 O 3 - 6 SiO 2 ) - 12 H 2 O 
 
 12 MO = 10.5 FeO 1.5 MgO 
 12 MO = 7.75 FeO 4.25 MgO 
 
 Grippe, He de 
 Groix 
 
 Zermatt. 
 
 12 
 
 12 MO 2(6 A1 2 O 3 - 6 SiO 2 ) 12 H 2 O 
 
 12 MO = 9.75 FeO 2.25 MgO 
 
 Pregratten. 
 
 13 
 
 13 MO 2(6 A1 2 O 3 - 6 SiO 2 ) 12 H 2 O 
 
 13 MO = 11.75 FeO 0.75 MgO 0.25 MnO 
 0.25 CaO 
 
 Gumuch-Dagh. 
 
 14 
 
 13 MO - 2(6 A1 2 3 - 6 SiO 2 ) 12 H 2 O 
 
 13 MO = 11. 75 FeO -0.75 MgO -0.25 MnO 
 0.25 CaO 
 
 Gumuch-Dagh. 
 
 15 
 
 13 MO 2(6 A1 2 O 3 - 6 SiO 3 ) 12 H 2 O 
 
 13 MO = 7.5 FeO 0.5 MnO 5 MgO 
 
 Shetland. 
 
 16 
 
 15 MO - 2(6 A1 2 O 3 - 6 SiO 2 ) 11 H 2 O 
 
 15MO = 12FeO-3MgO 
 
 Kossoibrod. 
 
 D. Compounds of the type 
 R Si Si R =6 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 17 
 
 18 
 
 10MO-2(6R 2 O 3 *12SiO 2 )- 
 19MO-2(6Al 2 3 -12SiO 2 ) 
 
 8H 2 
 14H 2 
 
 10 MO = 6 FeO 3 MnO 0.5 MgO 
 0.5 CaO 12 R 2 O 3 =11 A1 2 O 3 1 Fe 2 O 3 
 
 19 MO = 15.5 FeO 3.5 MnO 
 
 Lierneux 
 
 Natic,Rh. 
 Island 
 
 Renard 
 Jackson 
 
 E. Compounds of the type 
 
 Si Al Si Al- Si = 6 A1 2 3 16 Si0 2 
 
 Source 
 
 Analyst 
 
 19 13MO-2(6Al 2 O 3 -16SiO 2 )-12H 2 O 13 MO = 12.5 FeO 0.5 MgO 
 
 Venasque 
 
 Damour 
 
THE CLINTONITE GROUP 
 
 361 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 6 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 | Si0 8 
 
 A1 2 8 
 
 Fe a 3 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H,0 
 
 Total 
 
 Hermann 
 
 Theory 
 XXVI 
 
 24.52 
 24.54 
 
 30.39 
 30.72 
 
 17.71 
 
 17.28 
 
 17.17 
 17.30 
 
 , 
 
 4.08 
 3.75 
 
 
 
 6.13 
 6.38 
 
 100.00 
 99.97 
 
 Suida 
 
 Theory 
 X 
 
 25.79 
 26.03 
 
 41.11 
 42.33 
 
 4.29 
 4.09 
 
 14.19 
 14.32 
 
 __ 
 
 7.16 
 7.30 
 
 1.00 
 0.35 
 
 6.46 
 6.56 
 
 100.00 
 100.98 
 
 Heddle 
 
 Theory 
 XXI 
 
 25.91 
 25.36 
 
 42.21 
 41.74 
 
 2.87 
 3.90 
 
 14.05 
 13.93 
 
 0.64 
 0.92 
 
 6.84 
 6.82 
 
 1.00 
 0.90 
 
 6.48 
 6.57 
 
 100.00 
 100.14 
 
 Delesse 
 
 Theory 
 VIII 
 
 24.39 
 24.10 
 
 41.47 
 40.71 
 
 ~ 
 
 26.83 
 27.10 
 
 z 
 
 ~ 
 
 
 
 7.31 
 
 7.24 
 
 100.00 
 99.15 
 
 Erdmann 
 
 Theory 
 XXIV 
 
 25.64 
 24.96 
 
 43.59 
 43.83 
 
 ~ 
 
 30.77 
 31.21 
 
 ~ 
 
 ~ 
 
 
 
 ~ 
 
 100.00 
 100.00 
 
 Smith 
 
 Theory 
 XXVIII 
 
 24.41 
 24.10 
 
 41.50 
 39.80 
 
 
 
 27.69 
 27.55 
 
 0.30 
 
 (K 2 O+Na 2 O) 
 
 
 6.40 
 6.50 
 
 100.00 
 98.25 
 
 Renard 
 
 Theory 
 XIII 
 
 24.59 
 24.90 
 
 41.78 
 40.36 
 
 
 
 25.45 
 26.17 
 
 ___ 
 
 2.05 
 2.54 
 
 - 
 
 6.13 
 6.23 
 
 100.00 
 100.23 
 
 Damour 
 
 Theory 
 VI 
 
 24.93 
 24.40 
 
 42.38 
 42.80 
 
 
 
 19.33 
 19.17 
 
 
 
 5.88 
 6.17 
 
 
 
 7.48 
 6.90 
 
 100.00 
 99.44 
 
 A. Sipocz 
 
 Theory 
 IV 
 
 24.39 
 24.90 
 
 41.46 
 40.99 
 
 0.55 
 
 23.78 
 24.28 
 
 
 
 3.05 
 3.33 
 
 
 
 7.32 
 
 7.82 
 
 100.00 
 101.87 
 
 L. Smith 
 
 Theory 
 XXIX 
 
 23.47 
 23.94 
 
 39.90 
 39.52 
 
 
 
 27.58 
 28.05 
 
 0.58 
 0.52 
 
 0.98 
 0.80 
 
 0.46 
 0.45 
 
 7.03 
 
 7.08 
 
 100.00 
 100.36 
 
 L. Smith 
 
 Theory 
 XXX 
 
 23.47 
 23.20 
 
 39.90 
 40.21 
 
 
 
 27.58 
 27.25 
 
 0.58 
 
 0.98 
 0.95 
 
 0.46 
 0.83 
 
 7.03 
 6.97 
 
 100.00 
 99.41 
 
 Heddle 
 
 Theory 
 XX 
 
 24.53 
 24.47 
 
 41.70 
 41.34 
 
 0.38 
 
 18.40 
 18.52 
 
 1.21 
 
 0.91 
 
 6.81 
 6.80 
 
 0.30 
 
 7.35 
 
 6.98 
 
 100.00 
 99.70 
 
 Kobell 
 
 Theory 
 XXVII 
 
 23.03 
 23.01 
 
 39.15 
 40.26 
 
 
 
 27.64 
 27.40 
 
 
 
 3.84 
 3.97 
 
 
 
 6.34 
 6.34 
 
 100.00 
 100.98 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 12 Si0 2 ) n H 2 0. 
 
 
 SiO, 
 
 A1 2 3 
 
 Fe 2 8 
 
 FeO 
 
 MnO | MgO 
 
 CaO 
 
 H 2 
 
 Total 
 
 Theory 
 XVIII 
 
 40.52 
 40.55 
 
 31.58 
 
 30.80 
 
 4.50 
 3.82 
 
 11.99 
 12.46 
 
 5.99 
 6.51 
 
 0.57 
 0.45 
 
 0.79 
 1.29 
 
 4.06 
 4.12 
 
 100.00 
 100.00 
 
 Theory 
 XXXII 
 
 33.64 
 33.20 
 
 28.59 
 29.00 
 
 
 
 26.07 
 25.93 
 
 5.81 
 6.00 
 
 0.24 
 
 __ 
 
 5.89 
 5.60 
 
 100.00 
 99.97 
 
 or the general formula 
 
 m MO 2 (6 R 2 O 3 16 Si0 2 ) n H 2 0. 
 
 SiO, 
 
 A1 2 0, 
 
 Fe 2 0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H 2 
 
 Total 
 
 Theory 
 XII 
 
 44.87 
 44.79 
 
 28.60 
 29.71 
 
 
 
 21.03 
 20.75 
 
 
 
 0.46 
 0.62 
 
 
 
 5.04 1 100.00 
 4.93 1 100.80 
 
THE CLINTONITE GROUP 
 
 F. Compounds of the type 
 Si ft Si ft Si = 6 R 2 3 18 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 20 
 
 17 MO2(6 A1 2 O 8 -18 SiO 2 )-16 H 2 O 
 
 17MO = 11.5FeO-5.5MnO 
 
 Ottre 
 
 Damour 
 
 21 
 
 17 MO2(6 A1 2 O 8 -18 SiO 2 )-16 H 2 O 
 
 17 MO- 11.5 FeO - 5.5 MnO 
 
 Ottrf 
 
 Damour 
 
 G. Compounds of the type 
 
 i R = 7.5R 2 O 
 X R 
 
 6Si0 
 
 Source 
 
 Analyst 
 
 22 29 M02(7.5 R 2 O 3 -6 SiO 2 ) 
 12H 2 
 
 = 19.75MgO-8.25CaO-lFeO 
 15R 2 3 =14.5Al 2 3 -0.5Fe 2 3 I 
 
 Manzoni 
 
 Sipocz 
 
 H. Compounds of the type 
 R Si R Si R = 8 R 2 3 12 Si0 2 
 
 
 
 
 Source Analyst 
 
 23 
 24 
 
 12MO-2(8R 2 O 3 -12SiO 2 ) 
 12H 2 
 
 24 MO-2(8 A1 2 O 8 -12 SiO 2 ) 
 14H 2 O 
 
 12MO = 10FeO-2MgO 
 16R 2 O 3 =llAl 2 3 -5Fe 2 8 
 
 24 MO = 24 FeO 
 
 Natic, Rh. 
 Island 
 
 Natic, Rh. 
 Island 
 
 Hermann 
 Whitney 
 
 J. Compounds of the type 
 
 
 
 
 Source 
 
 Analyst 
 
 25 
 26 
 
 30MO-2(9R 2 O 3 -6SiO 2 ) 
 6H 2 
 
 30MO-2(9R 2 O 3 -6 SiO 8 ) 
 6H 2 
 
 30MO = 21.5MgO-8.5CaO 
 18 R 2 O 3 =17.5 A1 2 O 3 -0.5 Fe 2 O 8 
 
 30 MO = 21. 5 MgO-8.5 CaO 
 18R 2 O 3 = 17.5Al 2 O 3 -0.5Fe 2 O 3 
 
 Ural 
 Ural 
 
 G. Wagner 
 
 O. Schieffer- 
 deeker 
 
 K. Compounds of the type 
 R Si 6 Si R = 9 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 27 
 
 28 
 29 
 
 20 MO-2(9 A1 2 O 3 -12 SiO 2 ) 
 24H 2 
 
 22 MO-2(9 A1 2 O 3 -12 SiO 2 ) 
 16H 2 O 
 
 25MO-2(9Al 2 O 3 -12SiO 2 ) 
 20 H a O 
 
 20 MO = 15.5 FeO-3.5 MgO 
 0.5 MnO 0.5 CaO 
 
 22 MO = 21 FeO- 1 MgO 
 25 MO = 19.5 FeO 5.5 MgO 
 
 Kaisersberg 
 Hetzschen 
 Kossoibrod 
 
 v. Foullon 
 Schroder 
 Bonsdorff 
 
THE CLINTONITE GROUP 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 18 Si0 2 ) n H 2 O. 
 
 363 
 
 
 SiO, 
 
 A1,0 S 
 
 Fe,0, 
 
 FeO 
 
 MnO 
 
 Mgo 
 
 CaO 
 
 H,O 
 
 Total 
 
 Theory 
 XIV 
 
 44.16 
 43.52 
 
 25.04 
 23.89 
 
 __ 
 
 16.93 
 16.81 
 
 7.98 
 8.03 
 
 ___ 
 
 
 
 5.89 
 5.63 
 
 100.00 
 
 97.88 
 
 Theory 
 XV 
 
 44.16 
 43.34 
 
 25.04 
 24.63 
 
 
 
 16.93 
 16.72 
 
 7.98 
 8.18 
 
 
 
 z 
 
 5.63 
 5.66 
 
 100.00 
 98.53 
 
 or the general formula 
 
 m MO 2 (7.5 R 2 O 3 6 SiO 2 ) n H 2 0. 
 
 
 SiO, 
 
 A1|0 S 
 
 Fe,0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H,0 
 
 Total 
 
 Theory 
 11* 
 
 18.95 
 18.75 
 
 38.94 
 39.10 
 
 2.10 
 3.24 
 
 1.89 
 1.62 
 
 
 
 20.80 
 20.46 
 
 12.16 
 12.14 
 
 5.16 
 5.35 
 
 100.00 
 100.66 
 
 or the general formula 
 
 m MO 2 (8 R 2 3 12 Si0 2 ) n H 2 O. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H,0 
 
 Total 
 
 Theory 
 XXXIV 
 
 32.89 
 32.68 
 
 25.63 
 
 26.38 
 
 18.28 
 18.95 
 
 16.45 
 16.17 
 
 
 
 1.82 
 1.32 
 
 
 
 4.93 
 4.50 
 
 100.00 
 100.00 
 
 Theory 
 XXXIII 
 
 28.51 
 
 28.27 
 
 32.30 
 32.16 
 
 ~ 
 
 34.20 
 33.72 
 
 
 
 0.13 
 
 
 
 4.99 
 5.00 
 
 100.00 
 99.28 
 
 or the general formula 
 
 m MO 2 (9 R 2 3 6 Si0 2 ) n H 2 O. 
 
 
 SiO, 
 
 Al,0 3 
 
 Fe,0, 
 
 FeO 
 
 MnO 
 
 MgO 
 
 CaO 
 
 H,0 
 
 Total 
 
 Theory 
 
 17.87 
 
 44.30 
 
 1.99 
 
 
 
 
 
 21.35 
 
 11.81 
 
 2.68 
 
 100.00 
 
 Vllf 
 
 17.42 
 
 44.18 
 
 3.53 
 
 
 
 
 
 20.61 
 
 11.95 
 
 2.61 
 
 100.30 
 
 Theory 
 
 17.87 
 
 44.30 
 
 1.99 
 
 
 
 
 
 21.35 
 
 11.81 
 
 2.68 
 
 100.00 
 
 Vlllf 
 
 17.70 
 
 43.60 
 
 2.90 
 
 
 
 
 
 20.90 
 
 11.50 
 
 2.50 
 
 99.10 
 
 or the general formula 
 
 m MO 2 (9 R 2 3 12 Si0 2 ) n H 2 O. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe,0, 
 
 FeO MnO 
 
 MgO 
 
 CaO 
 
 H,O 
 
 Total 
 
 Theory 
 
 28.64 
 
 36.52 
 
 
 
 22.20 
 
 0.71 
 
 2.78 
 
 0.56 
 
 8.59 
 
 100.00 
 
 II 
 
 28.48 
 
 36.86 
 
 
 
 21.88 
 
 0.97 
 
 2.80 
 
 0.59 
 
 8.09 
 
 100.36 
 
 Theory 
 
 28.15 
 
 35.89 
 
 
 
 29.55 
 
 
 
 0.78 
 
 
 
 5.63 
 
 100.00 
 
 I * 
 
 28.04 
 
 36.19 
 
 
 
 29.79 
 
 
 
 1.25 
 
 0.20 
 
 5.88 
 
 100.35 
 
 Theory 
 
 27.38 
 
 34.91 
 
 
 
 26.69 
 
 
 
 4.18 
 
 
 
 6.84 
 
 100.00 
 
 XXII 
 
 27.48 
 
 35.57 
 
 
 
 27.05 
 
 0.30 
 
 4.29 
 
 
 
 6.95 
 
 101.64 
 
 * Brandisite t Xanthophyllite 
 
364 
 
 THE MICA GROUP 
 
 The 
 
 The following analyses of the minerals of the 
 
 A. Si R Si = 3 R 2 3 10 SiO 2 , 
 
 B. Si - R Si = 3 R 2 3 12 Si0 2 , 
 
 /Si 
 
 C. R-Si = 3 R 2 3 15 Si0 2 , 
 
 D. R-Si = 3 R 2 O 3 18 Si0 2 , 
 
 x s A i 
 
 E. R-Si-R = 5R 
 
 X Si 
 
 A 
 
 x s A i 
 
 R-Si-R = 5R 2 3 - 6Si0 2 , 
 A. Mica of the type 
 Si R - Si = 3 R 2 3 10 Si0 2 
 
 Source 
 
 20 MO 
 
 2(3R 2 3 - 
 6H 2 O 
 
 10 Si0 2 ) 
 
 20 MO 
 6 R 2 3 
 
 = 16.5 MgO 
 = 4.5A1 2 O 3 - 
 
 3.5 K 2 O 
 1.5Fe 2 O 3 
 
 Biotite 
 
 Chester, 
 Mass. 
 
 B. Mica of the type 
 S A i R Si = 3 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 6MO-2(3R 2 3 -12Si0 2 ) 
 
 28MO-2(3R 2 O 3 -12SiO 2 ) 
 6H 2 
 
 32 MO 2 (3 A1 2 O 3 12 SiO 2 ) 
 2H 2 O 
 
 6MO=1.5FeO-2MgO-2K 2 0-0.5Na 2 O 
 6R 2 3 =5A1 2 3 -1V 2 3 
 
 28 MO = 23 MgO 2 FeO 3 K 2 O 
 6R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 32 MO = 26.5 MgO 2.5 K 2 O 3 Na 2 O 
 
 Roscoe- 
 lite 
 
 Biotite 
 
 Colorado 
 Moravicza 
 
 Edwards, 
 
 N.S. 
 
 C. Mica of the type 
 /SI 
 R~Si = 3R 2 3 - 15Si0 2 
 X Si 
 
 
 
 
 Source 
 
 115 MO 2 (3 R 2 O 3 15 SiO 2 ) 
 20 H 2 
 
 15 MO = 15 MgO 
 6 R 2 O 3 = 3.5 Fe 2 O 3 2.5 A1 2 O 3 
 
 Biotite 
 
 Vermont 
 
 D. Mica of the type 
 
 A 
 
 R; Si = 3 R 2 3 18 Si0 2 
 
 
 
 
 Source 
 
 39 MO 
 47 MO 
 
 2(3R 2 3 -18Si0 2 ) 
 6H 2 
 
 2 (3 A1 2 O 3 18 SiO.) 
 1H 2 O 
 
 39 MO = 32 MgO- 7 K 2 O 
 6 R 2 O 3 = 3 A1 2 O 3 3 Fe 2 O 3 
 
 47MO = 3 FeO 17 MnO 21 MgO 
 3 CaO 3 K 2 
 
 Biotite 
 
 Herschenberg 
 Pajoberg 
 
THE MICA GROUP 
 
 365 
 
 Mica Group 
 
 Mica group conform to the following types : 
 
 F. Si R R Si 
 
 = 5 R 2 3 
 
 12 Si0 2 , 
 
 
 G. Si -R Si R Si 
 
 - 5 R 2 3 
 
 18 Si0 2 , 
 
 
 H. R - Si R 
 
 = 6 R 2 3 
 
 6Si0 2 , 
 
 
 J. Si R - R Si 
 
 = 6 R 2 3 
 
 10 Si0 2 , 
 
 
 K. S A i R R Si 
 
 = 6 R 2 3 
 
 12 Si0 2 , 
 
 
 L. Si R Si R Si 
 
 = 6 R 2 3 16 Si0 2 , 
 
 M. Si R Si R Si 
 
 = 6 R 2 3 
 
 18 Si0 2 , 
 
 
 N. R Si R Si R 
 
 = 9 R 2 O 3 12 Si0 2 , 
 
 0. Si R Si R Si R 
 
 T = 9 R 2 S 
 
 20 Si0 2 . 
 
 
 of the general formula 
 
 
 
 
 m MO 2 (3 R 2 3 10 Si0 2 
 
 ) n H 2 0. 
 
 
 
 Analyst SiO 8 
 
 A1 2 0, Fe,0 8 
 
 FeO CaO MgO K 2 O 
 
 Na 2 O H 2 O Total 
 
 Pisani Theory 39.95 
 
 15.28 7.99 
 
 21.97 10.95 
 
 3.86 100.00 
 
 CLXX 39.55 
 
 15.95 7.80 
 
 22.25 10.35 
 
 4.10 100.00 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 
 
 12 Si0 2 ) n H 2 O. 
 
 Analyst 
 
 
 SiO s 
 
 Al,0 8 
 
 Fe 2 0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na 2 
 
 H 2 
 
 Total 
 
 Genth 
 
 Theory- 
 
 57.43 
 56.74 
 
 20.34 
 19.62 
 
 6.00V 2 3 
 
 7.78V 2 3 
 
 4.31 
 3.84 
 
 
 
 3.19 
 2.63 
 
 7.50 
 8.11 
 
 1.23 
 
 0.94 
 
 
 
 100.00 
 99.66 
 
 Rumpf 
 
 Theory 
 XLIV 
 
 40.73 
 40.16 
 
 15.87 
 15.79 
 
 2.26 
 2.53 
 
 4.07 
 4.12 
 
 ~ 
 
 26.03 
 26.15 
 
 7.98 
 7.64 
 
 0.37 
 
 3.06 
 3.58 
 
 100.00 
 100.34 
 
 Crawe 
 
 Theory 
 CLI 
 
 40.35 
 40.36 
 
 17.15 
 16.45 
 
 
 
 
 
 
 
 29.70 
 29.55 
 
 6.58 
 7.23 
 
 5.21 
 4.94 
 
 1.01 
 
 0.95 
 
 100.00 
 99.48 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 15 Si0 2 ) 
 
 nH 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 AljO 8 j Fe 2 O 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K a O 
 
 Na 2 
 
 H 2 O 
 
 Total 
 
 Thomson 
 
 Theory 
 CLXXII 
 
 50.34 
 49.08 
 
 7.13 
 
 7.28 
 
 15.67 
 16.12 
 
 
 
 
 
 16.79 
 16.96 
 
 
 
 
 
 10.07 
 10.28 
 
 100.00 
 99.72 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 18 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO a 
 
 A1.0, 
 
 Fe 2 8 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 2 O 
 
 NajO 
 
 H S O 
 
 Total 
 
 Bromeis 
 
 Theory 
 XXIII 
 
 43.27 
 42.89 
 
 1 6.13 
 6.09 
 
 9.62 
 10.59 
 
 
 
 
 
 25.64 
 25.09 
 
 13.18 
 13.15 
 
 0.36 
 
 2.16 
 2.30 
 
 100.00 
 100.47 
 
 Igelstrom 
 
 Theory 
 CX 
 
 38.63 
 38.50 
 
 10.94 
 11.00 
 
 
 
 3.86 
 3.78 
 
 3.00 
 3.20 
 
 15.01 
 15.01 
 
 5.04 
 5.51 
 
 21.58MnO 
 21.40MnO 
 
 1.94 
 
 1.60 
 
 100.00 
 100.00 
 
366 
 
 THE MICA GROUP 
 
 E. Micas of the type 
 R -Si R = 5R 2 3 -6Si0 2 
 
 
 1 
 
 
 Source 
 
 8 
 
 6.5 MO 
 
 2 (5 A1 2 3 
 6H 2 
 
 6 SiO 2 ) 
 
 6.5MO = 4.5CaO 
 
 1.5 FeO -0.5 MgO 
 
 Margarite 
 
 Peekskill 
 
 F. Micas of the type 
 
 Si R R Si = 5 R 2 3 12 Si0 2 
 
 
 
 
 
 Source 
 
 9 
 
 3 MO 
 
 2 (5 A1 2 3 
 
 12 SiO 2 ) 
 
 3 MO = 1 FeO 0.5 MgO 1.5 K 2 O 
 
 Pinitoid 
 
 Weinheim 
 
 
 
 9H 2 
 
 
 
 
 
 10 
 
 5 MO 
 
 2(5A1 2 3 
 
 12 SiO 2 ) 
 
 5 MO = 1 MgO- 1.5K 2 O-2.5Na 2 O 
 
 
 
 Friebenreuth 
 
 
 
 9H 2 
 
 
 
 
 
 11 
 
 6 MO 
 
 2 (5 A1 2 3 
 
 12 SiO 2 ) 
 
 6 MO = 2 MgO 3.5 K 2 O 0.5 Na 2 O 
 
 Muscovite 
 
 Unionville, 
 
 
 
 8H 2 O 
 
 
 
 
 Pensylv. 
 
 12 
 
 6 MO 
 
 2 (5 R 2 O 3 
 
 12 SiO 2 ) 
 
 6 MO = 1 MgO 0.5 CaO 3.5 K 2 O 
 
 Pinitoid 
 
 Gleichinger 
 
 
 
 11 H 2 
 
 
 1 Na 2 O 10 R 2 O 3 =9.5 A1 2 O 3 0.5Fe 2 O 3 
 
 
 Fels 
 
 13 
 
 7 MO 
 
 2 (5 A1 2 O 3 
 
 12 Si0 2 ) 
 
 7 MO =4 FeO 0.5 MgO 2 K 2 O 
 
 
 
 Chemnitz 
 
 
 
 7H 2 
 
 
 0.5 Na 2 O 
 
 
 
 14 
 
 20 MO 
 
 . 2 (5 R 2 O 3 
 
 12 SiO 2 ) 
 
 20 MO = 9.5 FeO 6.5 MgO 1.5 CaO 
 
 Biotite 
 
 Adamello 
 
 
 
 
 
 
 2.5Na 2 O 10R 2 O 3 =6 A1 2 O 3 4Fe 2 O 3 
 
 
 
 15 
 
 22 MO 
 
 2 (5 R 2 3 
 
 12 SiO 2 ) 
 
 22 MO = 21 MgO 1 FeO 
 
 ?> 
 
 Westchester 
 
 
 
 48 H 2 O 
 
 
 10 R 2 O 3 = 8 A1 2 O 3 2 Fe 2 O 3 
 
 
 
 16 
 
 23 MO 
 
 2 (5 R 2 O 3 
 
 12 SiO 2 ) 
 
 23 MO = 22 MgO 1 FeO 
 
 M 
 
 Westchester 
 
 
 
 50 H 2 O 
 
 
 10R 2 3 = 8A1 2 3 - 2Fe 2 3 
 
 
 
 17 
 
 24 MO 
 
 2 (5 R 2 O 3 
 
 12 SiO 2 ) 
 
 24 MO = 23 MgO 0.5 FeO 0.5 NiO 
 
 M 
 
 Culsagee 
 
 
 
 44 H 2 
 
 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 
 Mine 
 
 
 
 G. Micas of the type 
 
 
 
 Si R Si R"- Sf = 5 R 2 3 18 Si0 2 
 
 
 
 
 
 Source 
 
 18 
 
 4MO- 
 
 2(5A1 2 3 - 
 
 18 SiO 2 ) 
 
 4 MO = 1 FeO 0.5 MgO 2 K 2 O 
 
 Hygro- 
 
 Rheinpfalz 
 
 
 
 20H 2 O 
 
 
 0.5Na 2 
 
 philite 
 
 
 19 
 
 7 MO- 
 
 2 (5 R 2 O 3 
 
 18 SiO 2 ) 
 
 7 MO = 1 MnO 1 MgO 5K 2 O 
 
 Muscovite 
 
 Heidelberg 
 
 
 
 
 6H 2 
 
 
 10 R 2 O 3 = 9.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 20 
 
 8 MO- 
 
 2(5R 2 3 - 
 
 18 SiO 2 ) 
 
 8 MO = 5.5 MgO 0.5 CaO 2 K 2 O 
 
 Gongylite 
 
 Yli-Kitka- 
 
 
 
 
 12H 2 O 
 
 
 10R 2 O 3 =8.5A1 2 O 3 - 1.5Fe 2 O 3 
 
 
 jarvi 
 
 21 
 
 25 MO- 
 
 2(5R 2 3 - 
 
 18 SiO 2 ) 
 
 25MO = 12.5FeO-5CaO-0.5MgO-4.5K,O 
 
 Biotite 
 
 Brevik 
 
 
 
 
 4H 2 
 
 
 2.5 Na 2 O 
 
 
 
 
 
 
 
 10R 2 3 = 7Fe 2 3 -3Al 2 3 
 
 
 
 22 
 
 34 MO- 
 
 2 (5 R 2 3 
 
 18SiO 2 ) 
 
 34 MO =25 MgO 4 FeO 5K 2 O 
 
 
 Karosulik 
 
 
 
 
 12H 2 
 
 
 10R 2 3 =8.5 A1 2 3 - 1.5Fe 2 3 
 
 
 
 23 
 
 40 MO- 
 
 2(5R 2 3 - 
 
 18 SiO 2 ) 
 
 40 MO = 11.5 FeO 23 MgO 5 K 2 O 
 
 M 
 
 Tschebarkul 
 
 
 
 2H 2 O 
 
 
 0.5 Na 2 O 
 
 
 
 
 
 
 
 10R 2 O 3 = 8Al 2 3 -2Fe 2 O 3 
 
 
 
 24 
 
 50 MO - 
 
 2 (5 A1 2 O 3 
 34H 2 
 
 18 SiO 2 ) 
 
 50 MO = 41.5 MgO 8.5 FeO 
 
 
 
 Milbury 
 
THE MICA GROUP 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 6 Si0 2 ) n H 2 0. 
 
 367 
 
 Analyst 
 
 Si0 2 A1 4 3 Fe a 3 FeO 
 
 CaO 
 
 MgO K a O Na z O H,0 Total 
 
 Chatard 
 
 Theory 
 XVIII 
 
 32.32 
 32.73 
 
 45.78 
 46.58 
 
 
 
 4.84 
 5.12 
 
 11.32 
 11.04 
 
 0.90 
 1.00 
 
 
 
 
 
 4.84 | 100.00 
 4.49 1100.96 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 12 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 3 
 
 Fe a 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 8 
 
 Na a O 
 
 H a O | Total 
 
 Cohen 
 
 Theory 
 III 
 
 50.44 
 50.82 
 
 35.72 
 35.93 
 
 ~ 
 
 2.53 
 2.92 
 
 ~ 
 
 0.70 
 0.41 
 
 4.93 
 4.13 
 
 0.08 
 
 5.67 
 5.68 
 
 100.00 
 99.99 
 
 v. Ammon 
 
 Theory 
 IV 
 
 48.68 
 49.08 
 
 34.49 
 34.75 
 
 ~ 
 
 z 
 
 ~ 
 
 1.33 
 0.85 
 
 4.78 
 5.40 
 
 5.24 
 5.30 
 
 5.48 
 5.35 
 
 100.00 
 100.73 
 
 Chatard 
 
 Theory 
 C 
 
 47.30 
 46.60 
 
 33.50 
 32.39 
 
 2.54 
 
 ~ 
 
 ~ 
 
 2.63 
 2.01 
 
 10.81 
 10.39 
 
 1.02 
 0.54 
 
 4.73 
 
 4.81 
 
 100.00 
 99.28 
 
 Hilger 
 Knop 
 
 Theory 
 V 
 
 Theory 
 
 45.92 
 45.24 
 
 46.26 
 
 47.77 
 
 30.90 
 29.96 
 
 32.76 
 32.65 
 
 2.55 
 3.16 
 
 0.32P 2 5 
 
 9.25 
 8.94 
 
 0.89 
 1.44 
 
 1.27 
 1.15 
 
 0.64 
 0.49 
 
 10.17 
 10.13 
 
 6.04 
 5.86 
 
 1.98 
 2.15 
 
 0.99 
 1.50 
 
 6.32 
 6.24 
 
 4.06 
 4.19 
 
 100.00 
 99.79 
 
 100.00 
 101.00 
 
 Baltzer 
 
 Theory 
 LIII 
 
 36.41 
 36.43 
 
 15.47 
 14.40 
 
 16.19 
 16.71 
 
 17.30 
 17.40 
 
 2.12 
 1.66 
 
 6.57 
 
 6.87 
 
 5.94 
 5.54 
 
 0.03 
 
 
 
 100.00 
 99.04 
 
 Konig 
 
 Theory 
 CXXXVIII 
 
 33.22 
 33.35 
 
 18.81 
 17.78 
 
 7.38 
 7.32 
 
 1.66 
 2.11 
 
 
 
 19.01 
 19.26 
 
 __ 
 
 ___ 
 
 19.92 
 19.87 
 
 100.00 
 99.69 
 
 Konig 
 
 Theory 
 CXL 
 
 32.52 
 33.03 
 
 18.43 
 17.38 
 
 7.23 
 7.41 
 
 1.63 
 1.44 
 
 - 
 
 19.87 
 20.16 
 
 
 
 
 
 20.32 
 20.90 
 
 100.00 
 100.32 
 
 Chatard 
 
 Theory 
 CXXXII 
 
 33.24 
 34.00 
 
 20.01 
 20.36 
 
 5.54 
 4.91 
 
 0.82 
 0.42 
 
 
 
 21.23 
 21.71 
 
 0.86NiO 
 0.57N1O 
 
 
 
 18.30 
 18.50 
 
 100.00 
 100.47 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 18 Si0 2 ) . n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 Al a 8 
 
 Fe 2 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 8 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Sch wager 
 
 Theory 
 II 
 
 56.08 
 56.64 
 
 26.49 
 26.68 
 
 
 
 1.87 
 1.68 
 
 0.22 
 
 0.52 
 0.29 
 
 4.88 
 5.33 
 
 0.80 
 0.64 
 
 9.36 
 9.13 
 
 100.00 
 100.73 
 
 Knop 
 
 Theory 
 
 55.41 
 56.37 
 
 24.86 
 24.22 
 
 2.05 
 2.09 
 
 1.82MnO 
 2.5 MnO 
 
 ~ 
 
 1.03 
 0.83 
 
 12.06 
 12.61 
 
 0.03 
 
 2.77 
 2.41 
 
 100.00 
 101.06 
 
 Thoreld 
 
 Theory 
 
 55.11 
 55.22 
 
 22.12 
 21.80 
 
 6.12 
 
 4.80 
 
 0.32MnO 
 
 0.72 
 0.77 
 
 5.62 
 5.90 
 
 4.80 
 4.46 
 
 0.45 
 
 5.51 
 5.77 
 
 100.00 
 99.49 
 
 Muller 
 
 Theory 
 XCIX 
 
 39.59 
 39.38 
 
 5.60 
 6.65 
 
 20.53 
 19.89 
 
 16.50 
 16.43 
 
 5.13 
 5.47 
 
 0.73 
 0.56 
 
 7.75 
 
 7.86 
 
 2.84 
 2.81 
 
 1.33 
 1.39 
 
 100.00 
 100.44 
 
 Kobell 
 
 Theory 
 CLXXVII 
 
 41.21 
 41.00 
 
 16.55 
 
 16.88 
 
 4.58 
 4.50 
 
 5.49 
 5.05 
 
 
 
 19.08 
 18.86 
 
 8.97 
 8.76 
 
 
 
 4.12 
 4.30 
 
 100.00 
 99.35 
 
 Zellner 
 
 Theory 
 
 cxx 
 
 38.72 
 38.49 
 
 14.63 
 14.43 
 
 5.73 
 5.44 
 
 14.85 
 14.75 
 
 , 
 
 16.50 
 16.35 
 
 8.42 
 8.12 
 
 0.50 
 0.53 
 
 0.65 
 0.89 
 
 100.00 
 99.00 
 
 Crossley 
 
 Theory 
 CLXXI 
 
 35.62 
 35.74 
 
 16.82 
 16.42 
 
 
 
 10.09 
 10.02 
 
 
 
 27.38 
 27.44 
 
 
 
 
 
 10.09 
 10.30 
 
 100.00 
 99.92 
 
368 
 
 THE MICA GROUP 
 
 H. Micas of the type 
 R Si R = 6 R0, 6 SiO 
 
 
 
 
 
 Source 
 
 25 
 
 1MO- 
 
 2(6A1 2 O 3 - 
 
 6 SiO 2 ) 
 
 2H 2 O 
 
 1 MO = 0.25 MgO 0.25 K 2 O 
 0.25 Na 2 0- 0.25 H 2 
 
 Lesleyite 
 
 
 
 26 
 
 2 MO- 
 
 2(6A1 2 O 8 
 
 6 SiO 2 ) 
 
 5H 2 
 
 2 MO = 1.75 K 2 O-0.25 H 2 O 
 
 N 
 
 
 
 27 
 
 6MO- 
 
 2(6R 2 3 - 
 
 6 SiO 2 ) 
 
 7H 2 
 
 6MO = 5CaO- 1 Na 2 O 
 12 R 2 O 3 = 11.75 Al 2 O 3 -0.25Fe 2 O 3 
 
 Margarite 
 
 Nikaria 
 
 J. Micas of the type 
 Si R R Si = 6 R 2 3 10 Si0 2 
 
 Source 
 
 28 
 
 29 4 MO 2 (6 A1 2 O 3 10 SiO 2 ) . 10 H 2 O 
 
 30 
 
 31 
 
 4 MO 2(6 A1 2 O 3 10 SiO 2 ) 10 H 2 O 
 
 4 MO 2 (6 A1 2 3 10 Si0 2 ) 10 H 2 O 
 4 MO 2 (6 A1 2 O 3 10 SiO 2 ) 10 H 2 O 
 
 4 MO = 0.5 CaO 0.5 MgO -1K 2 O 
 2 Na 2 O 
 
 4 MO =0.5 CaO 0.5 MgO 1K 2 O 
 . 2 Na 2 O 
 
 4 MO=0.5 CaO 0.5 MgO 1K 2 O 
 2Na 2 
 
 4 MO=0.5 CaO 0.5 MgO 1K 2 O 
 2Na,0 
 
 Muscovite 
 
 Ebendaher 
 
 K. Micas of the type 
 Si R R Si = 6 R 2 2 12 SiO, 
 
 
 
 
 
 Source 
 
 32 
 33 
 
 4 MO 2 (6 R 2 O 3 12 SiO 2 ) 
 4 MO 2 (6 A1 2 3 12 SiO 2 ) 8 H 2 O 
 
 4MO = 4K 2 O 
 12 R 2 O 3 = 9.5 Al 2 O 3 -2.5Fe 2 O 3 
 
 4 MO =0.5 CaO 0.5MgO-3Na 2 O 
 
 Micarelle 
 Paragonite 
 
 M. Campione 
 
 34 
 
 > 
 
 4MO = lK 2 O-3Na 2 O 
 
 n 
 
 M. Campione 
 
 35 
 
 4 MO 2 (6 A1 2 O 3 12 SiO 2 ) 9 H 2 O 
 
 4 MO = 3.5 K 2 O 0.5 Na 2 O 
 
 Muscovite 
 
 Unionville 
 
 30 
 
 > 
 
 4 MO = 3.5 K 2 O 0.5 Na 2 O 
 
 n 
 
 " 
 
 37 
 
 > > 
 
 4 MO = 3.5 K 2 O 0.5 Na 2 O 
 
 
 
 Wiesenthal 
 
 38 
 
 
 
 4 MO = 0.5 K 2 O 3.5 Na 2 O 
 
 Paragonite 
 
 Borgofrance 
 
 30 
 
 
 
 4 MO =0.5 K 2 O 3.5 Na 2 O 
 
 n 
 
 Colle Blasier 
 
 40 
 
 > > 
 
 4 MO = 0.5MgO-3K 2 O-0.5Na 2 O 
 
 Muscovite 
 
 Culsagee 
 Mine 
 
 41 
 
 4 MO 2 (6 A1 2 3 12 SiO 2 ) 10^,0 
 
 4MO = 4K 2 O 
 
 
 
 Vallee de 
 1'Evel 
 
 42 
 
 5 MO 2(6 A1 2 O 3 12 SiO 2 ) 8 H 2 O 
 
 5MO = 0.5MgO-0.5CaO-0.5FeO 
 3 K 2 O 0.5 Na 2 O 
 
 
 
 Bengal 
 
THE MICA GROUP 
 
 of the general formula 
 m MO 2 (6 R 2 3 6 Si0 2 ) 
 
 nH 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 8 
 
 Na 2 
 
 H 2 
 
 Total 
 
 Genth 
 
 Theory 
 
 35.42 
 
 60.19 
 
 
 
 
 
 
 
 0.51 
 
 0.76 
 
 1.13 
 
 1.99 
 
 100.00 
 
 
 XI 
 
 35.68 
 
 60.29 
 
 0.72 
 
 
 
 
 
 0.29 
 
 0.41 
 
 0.96 
 
 1.78 
 
 100,13 
 
 Sharpless 
 
 Theory 
 
 32.69 
 
 55.56 
 
 
 
 
 
 
 
 
 
 7.46 
 
 
 
 4.29 
 
 100.00 
 
 
 V 
 
 33.59 
 
 55.41 
 
 
 
 
 
 
 
 
 
 7.43 
 
 
 
 4.30 
 
 100.73 
 
 Smith 
 
 Theory 
 
 29.65 
 
 49.39 
 
 1.65 
 
 
 
 11.55 
 
 
 
 
 
 2.55 
 
 5.19 
 
 100.00 
 
 
 IX 
 
 30.22 
 
 49.67 
 
 1.33 
 
 
 
 11.57 
 
 Trace 
 
 
 
 2.31 
 
 5.12 
 
 100.22 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 10 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 8 
 
 Fe 2 0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 8 
 
 NaaO 
 
 H,0 
 
 Total 
 
 Smith & Brush 
 
 Theory 
 CII 
 
 41.82 
 40.29 
 
 42.65 
 43.00 
 
 1.30 
 
 
 
 0.98 
 1.01 
 
 0.69 
 0.62 
 
 3.27 
 3.94 
 
 4.32 
 5.16 
 
 6.27 
 5.00 
 
 100.00 
 100.32 
 
 
 
 Theory 
 
 cm 
 
 41.82 
 39.64 
 
 42.65 
 42.40 
 
 1.60 
 
 ~ 
 
 0.98 
 1.00 
 
 0.69 
 0.70 
 
 3.27 
 3.94 
 
 4.32 
 5.16 
 
 6.27 
 5.08 
 
 100.00 
 99.52 
 
 > 
 
 Theory 
 CIV 
 
 41.82 
 40.21 
 
 42.65 
 41.40 
 
 1.30 
 
 ~ 
 
 0.98 
 1.11 
 
 0.69 
 0.70 
 
 3.27 
 3.25 
 
 4.32 
 4.26 
 
 6.27 
 6.23 
 
 100.00 
 99.21 
 
 
 
 Theory 
 CV 
 
 41.82 
 40.96 
 
 42.65 
 41.40 
 
 1.30 
 
 ~ 
 
 0.98 
 1.11 
 
 0.69 
 0.70 
 
 3.27 
 3.25 
 
 4.32 
 4.26 
 
 6.27 
 6.23 
 
 100.00 
 99.21 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 12 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO 2 
 
 A1 2 3 
 
 Fe 2 O s 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 2 O 
 
 Na,0 
 
 H 2 
 
 Total 
 
 Massalin 
 
 Theory 
 
 45.21 
 
 30.42 
 
 12.56 
 
 
 
 
 
 11.81 
 
 
 
 _ 
 
 _ 
 
 100.00 
 
 
 I 
 
 45.00 
 
 30.00 
 
 12.60 
 
 
 
 
 
 12.40 
 
 
 
 
 
 
 
 100.00 
 
 Rammelsberg 
 
 Theory 
 
 47.34 
 
 40.24 
 
 
 
 
 
 0.92 
 
 0.66 
 
 
 
 6.11 
 
 4.73 
 
 100.00 
 
 
 II 
 
 46.81 
 
 40.06 
 
 Trace 
 
 
 
 1.26 
 
 0.65 
 
 Trace 
 
 6.40 
 
 4.82 
 
 100.00 
 
 Lemberg 
 
 Theory 
 
 46.65 
 
 39.64 
 
 
 
 
 
 
 
 
 
 3.04 
 
 6.01 
 
 4.66 
 
 100.00 
 
 
 IV 
 
 46.17 
 
 40.29 
 
 
 
 
 
 
 
 
 
 3.09 
 
 5.53 
 
 4.92 
 
 100.00 
 
 Genth 
 
 Theory 
 
 45.21 
 
 38.42 
 
 
 
 
 
 
 
 
 
 10.32 
 
 0.97 
 
 5.08 
 
 100.00 
 
 
 XCVII 
 
 45.86 
 
 37.61 
 
 0.59 
 
 
 
 0.31 
 
 0.55 
 
 10.40 
 
 0.80 
 
 4.74 
 
 100.90 
 
 Konig 
 
 Theory 
 
 45.21 
 
 38.42 
 
 
 
 
 
 
 
 
 
 10.32 
 
 0.97 
 
 5.08 
 
 100.00 
 
 
 XCVIII 
 
 45.73 
 
 37.10 
 
 1.30 
 
 
 
 
 
 0.34 
 
 10.50 
 
 0.88 
 
 4.48 
 
 100.33 
 
 Sauer 
 
 Theory 
 
 45.21 
 
 38.42 
 
 
 
 
 
 
 
 
 
 10.32 
 
 0.97 
 
 5.08 
 
 100.00 
 
 
 XVIII 
 
 45.71 
 
 38.64 
 
 
 
 
 
 
 
 
 
 9.53 
 
 0.90 
 
 5.17 
 
 100.00 
 
 Cossa 
 
 Theory 
 
 46.61 
 
 39.61 
 
 
 
 
 
 
 
 
 
 1.52 
 
 7.02 
 
 5.24 
 
 100.00 
 
 
 VII 
 
 46.67 
 
 39.02 
 
 2.01 
 
 
 
 
 
 
 
 1.36 
 
 6.37 
 
 4.91 
 
 100.34 
 
 
 
 Theory 
 
 46.61 
 
 39.61 
 
 
 
 
 
 
 
 
 
 1.52 
 
 7.02 
 
 5.24 
 
 100.00 
 
 
 VIII 
 
 46.68 
 
 39.88 
 
 1.06 
 
 
 
 
 
 
 
 0.84 
 
 6.91 
 
 5.08 
 
 100.45 
 
 K6nig 
 
 Theory 
 
 45.69 
 
 38.75 
 
 
 
 
 
 
 
 0.63 
 
 8.92 
 
 0.98 
 
 5.13 
 
 100.00 
 
 
 XC 
 
 45.62 
 
 35.93 
 
 2.93 = 
 
 1.87A1 2 3 
 
 
 
 0.34 
 
 9.40 
 
 0.71 
 
 4.93 
 
 99.86 
 
 Delesse 
 
 Theory 
 
 44.72 
 
 38.01 
 
 
 
 
 
 
 
 
 
 11.68 
 
 
 
 5.95 
 
 100.00 
 
 
 XLVIII 
 
 45.22 
 
 37.85 
 
 Trace 
 
 
 
 
 
 
 
 11.20 
 
 
 
 5.25 
 
 99.52 
 
 Blau 
 
 Theory 
 
 44.93 
 
 38.19 
 
 
 
 1.12 
 
 0.87 
 
 0.62 
 
 8.80 
 
 0.96 
 
 4.49 
 
 100.00 
 
 
 LXXXI 
 
 45.57 
 
 36.72 
 
 0.95 
 
 1.28 
 
 0.21 
 
 0.38 
 
 8.81 
 
 0.62 
 
 5.05 
 
 99.93 
 
 2 B 
 
370 
 
 THE MICA GROUP 
 
 Source 
 
 5 MO 2(6 A1 2 O 3 12 SiO 2 ) 8 H 2 O 
 
 7 MO 2(6 A1 2 O 3 12 Si0 3 ) 12 H 2 O 
 
 = 0.5MgO-0.5CaO-0.5FeO 
 3 K 2 O-0.5 Na 2 O 
 
 = 4K 2 O-lMgO 
 12 R 2 O 3 =11 A1 2 O 3 -1 Fe 2 O 3 
 
 = 0.5CaO-2.5MgO-3.5K 2 O 
 0.5 Na 2 O 
 
 Muscovite 
 
 East Indies 
 
 Horrsjoberg 
 
 Maryland 
 
 Si 
 
 Si 
 
 L. Micas of the type 
 R Si = 6 R 2 O 3 16 SiO 2 
 
 
 
 
 
 Source 
 
 46 
 
 4 MO 2(6 A1 2 O 3 
 
 16SiO 2 ) 
 
 4 MO = 0.5 FeO 3 K 2 O 0.5 Na 2 O 
 
 Killinite 
 
 Branchville 
 
 
 8H 2 O 
 
 
 
 
 
 47 
 
 5MO-2(6A1 2 O 3 - 
 
 16 Si0 2 ) 
 
 5 MO = 1.5 FeO 1 CaO 0.5 Li 2 O 
 
 ,, 
 
 Killiney 
 
 
 8H 2 O 
 
 
 2K 2 
 
 
 Hill 
 
 48 
 
 5 MO 2(6 R 2 O 3 - 
 9H 2 
 
 16 SiO 2 ) 
 
 5 MO = 1 MgO 2 K 2 - 2 Na 2 O 
 12 R 2 O 3 = 10 A1 2 O 3 2 Fe 2 O 3 
 
 Muscovite 
 
 Oravicza 
 
 49 
 
 6MO-2(6R 2 O 3 - 
 
 16 SiO 2 ) 
 
 6 MO = 0.5 MgO 5.5 K 2 O 
 
 tf 
 
 Striegau 
 
 
 10H 2 
 
 
 12R 2 O 3 =lFe 2 3 'llAl 2 3 
 
 
 
 50 
 
 6 MO 2(6 A1 2 O 3 
 22 H 2 
 
 16SiO 2 ) 
 
 6 MO = 1.5 FeO 0.5 CaO 1 MgO 
 3K 2 
 
 Killinite 
 
 Killiney 
 Hill 
 
 51 
 
 6MO-2(6A1 2 O 3 - 
 
 16SiO 2 ) 
 
 6MO = 1.5FeO 1.1 MnO 0.5 CaO 
 
 t 
 
 > 
 
 
 22 H 2 
 
 
 0.5 MgO- 2.5 K 2 
 
 
 
 52 
 
 7 MO 2(6 A1 2 3 
 10H 2 
 
 16 SiO 2 ) 
 
 7 MO =0.5 FeO 2.5 MgO - 4 K 2 O 
 
 Muscovite 
 
 Grube Him- 
 melsfiirst 
 
 53 
 
 7 MO 2(6 A1 2 O 3 
 
 16 SiO 2 ) 
 
 7 MO = 1.5 FeO 0.5 CaO 2 MgO 
 
 Hygro- 
 
 
 
 
 20 H 2 O 
 
 
 2 K 2 O 1 Na 2 O 
 
 philite 
 
 
 54 
 
 8 MO 2(6 A1 2 O 3 
 
 16 SiO 2 ) 
 
 8 MO = 2 FeO 1 CaO 0.5 MgO 
 
 n 
 
 
 
 
 20 H 2 O 
 
 
 - 0.25 K 2 O - 1 Na 2 O 
 
 
 
 55 
 
 12MO-2(6A1 2 O 3 - 
 
 16SiO 2 ) 
 
 12 MO = 1 CaO 3.5 MgO 4.5 K 2 O 
 
 Paragonite 
 
 Fenestrelle 
 
 
 -6H 2 O 
 
 
 3Na 2 
 
 
 
 56 
 
 26MO-2(6R 2 O 3 - 
 
 16SiO 2 ) 
 
 26 MO =0.5 CaO 18.5 MgO 7 K 2 O 
 
 Biotite 
 
 Zillerthal 
 
 
 3H 2 
 
 
 12R 2 O 3 =8Al 2 3 -4Fe 2 O 3 
 
 
 
 57 
 
 27 MO 2(6 R 2 O 3 - 
 
 16 SiO 2 ) 
 
 27 MO = 1 FeO 0.5 CaO 25.5 MgO 
 
 
 
 West- 
 
 
 40H 2 O 
 
 
 12 R 2 3 =8.5 A1 2 3 - 3.5 Fe 2 O 3 
 
 
 chester 
 
 58 
 
 29MO-2(6R 2 3 - 
 
 16 SiO 2 ) 
 
 29 MO = 1.5 FeO - 27.5 MgO 
 
 ,, 
 
 
 
 
 60 H 2 O 
 
 
 12R 2 3 =9Al 2 3 -3Fe 2 O 3 
 
 
 
 59 
 
 30MO-2(6R 2 O 3 - 
 
 16 SiO 2 ) 
 
 30 MO = 1 1 FeO -12.5 MgO 5 K 2 O 
 
 > 
 
 Renchthal 
 
 
 6H 2 
 
 
 1.5Na 2 - 12 R 2 3 =10 A1 2 O 3 2 Fe 2 O 3 
 
 
 
 60 
 
 30MO-2(6A1 2 3 - 
 
 16 SiO 2 ) 
 
 30 MO = 21.5 FeO - 8.5 MgO 
 
 > 
 
 Monroe 
 
 
 28 H 2 
 
 
 
 
 
 61 
 
 32MO-2(6R 2 O 3 - 
 
 16 SiO 2 ) 
 
 32 MO=31.5 MgO 0.5 FeO 
 
 M 
 
 Calsagee 
 
 
 32H 2 
 
 
 12 R 2 3 = 10 A1 2 O 3 - 2 Fe 2 O 3 
 
 
 Mine 
 
 62 
 
 32MO-2(6R 2 O 3 - 
 
 16 SiO a ) 
 
 32 MO =31. 5 MgO 0.5 FeO 
 
 JM 
 
 
 
 
 64H 2 
 
 
 12 R 2 O 3 = 10 AI 2 O 3 2 Fe 2 O 3 
 
 
 
 63 
 
 34MO-2(6R 2 3 - 
 
 16SiO 2 ) 
 
 34 MO = 33.5 MgO 0.5 FeO 
 
 
 
 ft 
 
 
 60$ 2 
 
 
 12 R 2 O 3 = 10 A1 2 O 3 2 Fe 2 O 3 
 
 
 
 64 
 
 35 MO 2(6 Al a O 3 
 
 16 Si0 2 ) 
 
 35MO = 21.5FeO-lCaO-11.5MgO 
 
 
 
 Rio de 
 
 
 34 H 2 
 
 
 1K 2 
 
 
 Janeiro 
 
THE MICA GROUP 
 
 371 
 
 Analyst 
 
 
 SiO, 
 
 Al,0, 
 
 Fe,0, | FeO | CaO 
 
 MgO 
 
 K,0 
 
 Na,O 
 
 H,0 
 
 Total 
 
 Sipocz 
 
 Theory 
 LXXXII 
 
 44.93 
 45.71 
 
 38.19 
 36.57 
 
 1.19 
 
 1.12 
 1.07 
 
 0.87 
 0.46 
 
 0.62 
 0.71 
 
 8.80 
 9.22 
 
 0.96 
 0.70 
 
 4.49 
 4.83 
 
 100.00 
 100.67 
 
 Igelstrom 
 
 Theory 
 LXXIII 
 
 43.88 
 43.41 
 
 34.18 
 35.17 
 
 4.87 
 4.62 
 
 . 
 
 
 
 1.22 
 1.40 
 
 11.46 
 10.90 
 
 ~ 
 
 4.39 
 4.50 
 
 100.00 
 100.00 
 
 Chatard 
 
 Theory 
 XCIII 
 
 42.75 
 42.21 
 
 36.35 
 34.55 
 
 1.03 
 
 2.03Cr 2 O 3 
 
 0.83 
 0.47 
 
 2.96 
 3.13 
 
 9.77 
 9.16 
 
 0.92 
 0.82 
 
 6.42 
 6.77 
 
 100.00 
 100.17 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 - 16 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO, 
 
 Al,0, 
 
 Fe a 3 | FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Dewey 
 
 Theory 
 
 52.79 
 
 33.65 
 
 
 
 0.99 
 
 
 
 
 
 7.76 
 
 0.86 
 
 3.95 
 
 100.00 
 
 
 VII 
 
 53.47 
 
 32.36 
 
 0.79 
 
 0.42 
 
 0.17 
 
 0.72 MnO 
 
 7.68 
 
 0.44 
 
 4.07 
 
 100.16 
 
 Mallet 
 
 Theory 
 
 52.53 
 
 33.49 
 
 
 
 2.95 
 
 1.53 
 
 
 
 5.14 
 
 0.42 Li 2 O 
 
 3.94 
 
 100.00 
 
 
 III 
 
 52.89 
 
 33.24 
 
 
 
 3.27 
 
 1.45 
 
 
 
 4.94 
 
 0.46 Li 2 O 
 
 3.67 
 
 99.92 
 
 Kjerulf 
 
 Theory 
 
 50.88 
 
 27.03 
 
 8.47 
 
 
 
 
 
 1.06 
 
 4.98 
 
 3.29 
 
 4.29 
 
 100.00 
 
 
 XXIV 
 
 50.88 
 
 26.69 
 
 8.48 
 
 
 
 
 
 1.19 
 
 4.52 
 
 2.72 
 
 4.19 
 
 98.67 
 
 Riepe 
 
 Theory 
 
 48.99 
 
 28.62 
 
 4.08 
 
 
 
 
 
 0.52 
 
 13.20 
 
 
 
 4.59 
 
 100.00 
 
 
 XIX 
 
 49.27 
 
 28.69 
 
 2.89 
 
 
 
 
 
 0.42 
 
 13.91 
 
 
 
 4.77 
 
 99.95 
 
 Lehunt 
 
 Theory 
 
 48.03 
 
 30.62 
 
 
 
 ?2.70 
 
 0.70 
 
 1.00 
 
 7.05 
 
 
 
 9.90 
 
 100.00 
 
 
 I 
 
 49.08 
 
 30.60 
 
 
 
 2.27 
 
 0.68 
 
 1.08 
 
 6.72 
 
 
 
 10.00 
 
 100.43 
 
 Blythe 
 
 Theory 
 
 47.98 
 
 30.59 
 
 1.77MnO 
 
 2.69 
 
 0.70 
 
 0.50 
 
 5.88 
 
 
 
 9.89 
 
 100.00 
 
 
 II 
 
 47.93 
 
 31.04 
 
 1.26MnO 
 
 2.33 
 
 0.72 
 
 0.46 
 
 6.06 
 
 
 
 10.00 
 
 99.80 
 
 Scheerer 
 
 Theory 
 
 50.05 
 
 31.91 
 
 ___ 
 
 0.94 
 
 __ 
 
 2.61 
 
 9.80 
 
 
 
 4.69 
 
 100.00 
 
 
 XV 
 
 47.84 
 
 29.98 
 
 2.91 
 
 1.12 
 
 0.05 
 
 2.02 
 
 9.48 
 
 1.72 TiO a 
 
 4.40 
 
 99.52 
 
 Killing 
 
 Theory 
 
 48.36 
 
 30.81 
 
 
 
 2.72 
 
 0.71 
 
 2.02 
 
 4.73 
 
 1.56 
 
 9.07 
 
 100.00 
 
 
 IV 
 
 48.60 
 
 32.82 
 
 
 
 2.76 
 
 0.84 
 
 2.37 
 
 4.08 
 
 1.32 
 
 8.83 
 
 101.62 
 
 Laspeyres 
 
 Theory 
 
 47.28 
 
 30.14 
 
 
 
 3.54 
 
 1.38 
 
 1.47 
 
 5.79 
 
 1.53 
 
 8.87 
 
 100.00 
 
 
 I 
 
 48.42 
 
 32.06 
 
 
 
 3.26 
 
 1.15 
 
 1.72 
 
 5.67 
 
 1.36 
 
 9.02 
 
 102.66 
 
 Cossa 
 
 Theory 
 
 47.33 
 
 30.17 
 
 
 
 
 
 1.38 
 
 3.45 
 
 10.43 
 
 4.58 
 
 2.66 
 
 100.00 
 
 
 IX 
 
 47.96 
 
 31.03 
 
 
 
 
 
 1.07 
 
 3.42 
 
 10.44 
 
 4.08 
 
 2.41 
 
 100.41 
 
 Varren- 
 
 Theory 
 
 39.54 
 
 16.81 
 
 13.17 
 
 __ 
 
 0.58 
 
 15.24 
 
 13.55 
 
 
 
 1.11 
 
 100.00 
 
 trapp 
 
 XLVI 
 
 39.85 
 
 16.07 
 
 13.21 
 
 
 
 0.42 
 
 15.60 
 
 13.68 
 
 
 
 1.17 
 
 100.00 
 
 Brush 
 
 Theory 
 
 37.02 
 
 16.72 
 
 10.80 
 
 1.39 
 
 0.54 
 
 19.65 
 
 
 
 
 
 13.88 
 
 100.00 
 
 
 CXXXVII 
 
 37.10 
 
 17.57 
 
 10.54 
 
 1.26 
 
 0.56 
 
 19.65 
 
 0.43 
 
 
 
 13.76 
 
 100.87 
 
 Chatard 
 
 Theory 
 
 34.25 
 
 16.37 
 
 8.56 
 
 1.93 
 
 __ 
 
 19.62 
 
 
 
 
 
 19.27 
 
 100.00 
 
 
 CXXXIX 
 
 34.40 
 
 16.63 
 
 8.00 
 
 2.11 
 
 
 
 19.30 
 
 
 
 
 
 19.03 
 
 99.47 
 
 Killing 
 
 Theory 
 
 36.73 
 
 19.52 
 
 6.12 
 
 15.23 
 
 _ _ 
 
 9.57 
 
 8.99 
 
 1.77 
 
 2.07 
 
 100.00 
 
 
 VI 
 
 37.67 
 
 18.79 
 
 6.48 
 
 15.28 
 
 
 
 9.72 
 
 8.93 
 
 1-92 
 
 2.33 
 
 101.12 
 
 Pisani 
 
 Theory 
 
 34.69 
 
 22.11 
 
 
 
 27.96 
 
 __ 
 
 6.14 
 
 
 
 
 
 9.10 
 
 100.00 
 
 
 CLXIV 
 
 34.98 
 
 21.88 
 
 
 
 28.44 
 
 
 
 6.24 
 
 
 
 
 
 9.22 
 
 100.76 
 
 Cooke 
 
 Theory 
 
 37.42 
 
 19.87 
 
 6.23 
 
 0.70 
 
 __ 
 
 24.55 
 
 
 
 
 
 11.33 
 
 100.00 
 
 
 CXXXIII 
 
 37.58 
 
 19.73 
 
 5.95 
 
 0.58 
 
 
 
 25.13 
 
 
 
 
 
 11.09 
 
 100.06 
 
 Chatard 
 
 Theory 
 
 33.64 
 
 17.88 
 
 5.59 
 
 0.63 
 
 _ 
 
 22.08 
 
 
 
 
 
 20.18 
 
 100.00 
 
 
 CXXXI 
 
 33.77 
 
 17.56 
 
 5.61 
 
 0.50 
 
 
 
 22.48 
 
 
 
 
 
 20.30 
 
 100.22 
 
 Konig 
 
 Theory 
 
 33.59 
 
 17.85 
 
 5.60 
 
 0.63 
 
 _ _ 
 
 23.45 
 
 
 
 
 
 18.88 
 
 100.00 
 
 
 cxxx 
 
 33.93 
 
 17.38 
 
 5.42 
 
 0.50 
 
 
 23.43 
 
 0.35 NiO 
 
 
 
 19.17 
 
 100.18 
 
 C.v.Hauer 
 
 Theory 
 
 32.47 
 
 20.70 
 
 
 
 26.17 
 
 0.95 
 
 7.77 
 
 1.59 
 
 
 
 10.35 
 
 100.00 
 
 
 cxxv 
 
 32.33 
 
 20.47 
 
 
 
 ,26.25 
 
 0.85 
 
 7.75 
 
 2.02 
 
 
 
 10.33 
 
 100.00 
 
372 
 
 THE MICA GROUP 
 
 M. Micas of the type 
 Si R Si R Si = 6 R 2 3 18 Si0 2 
 
 
 
 
 
 Source 
 
 65 
 
 5 MO 
 
 2(6R 2 3 - 
 
 18SiO 2 ) 
 
 5 MO = 0.5 CaO 4.5 K 2 O 
 
 Micarelle 
 
 
 
 
 
 3H 2 
 
 
 12 R 2 3 = 9.5 Al 2 3 -2 Fe 2 O 3 -0.5 Mn 2 O 3 
 
 
 
 66 
 
 6 MO 
 
 2(6 A1 2 O 3 
 
 18 SiO 2 ) 
 
 6 M0 = 2 FeO 1.5 MgO 2 K 2 O 
 
 Killinite 
 
 Killiney 
 
 
 
 18H 2 
 
 
 0.5 Na 2 
 
 
 Hill 
 
 67 
 
 6 MO 
 
 2(6 A1 2 O 3 
 
 18SiO 2 ) 
 
 6 M0 = 1.5 FeO 1 MgO 3 K 2 O 
 
 n 
 
 Dalkey 
 
 
 
 19H 2 O 
 
 
 0.5 Na 2 O 
 
 
 
 68 
 
 7 MO 
 
 2(6 A1 2 O 3 
 
 18SiO 2 ) 
 
 7 MO=0.5 FeO 3.5 MgO 3 K 2 O 
 
 Muscovite 
 
 Tamsweg 
 
 
 
 10H 2 O 
 
 
 
 
 
 69 
 
 26 MO 
 
 2(6 R 2 O 3 
 
 18Si0 2 ) 
 
 26 MO = 12 FeO 5.5 CaO- 5 K 2 O 
 
 Biotite 
 
 Brevik 
 
 
 
 4H 2 O 
 
 
 3.5 Na 2 O; 12 R 2 O 3 = 9.5 Al 2 O 3 -2.5Fe 2 O 3 
 
 
 
 70 
 
 29 MO 
 
 2(6R 2 3 - 
 
 18 SiO 2 ) 
 
 29 MO = 23.5 MgO 4.5 K 2 O 1 Na 2 O 
 
 M 
 
 Laacher 
 
 
 
 
 
 12 R 2 O 3 = 8.5 A1 2 O 3 3.5 Fe 2 O 3 
 
 
 See 
 
 71 
 
 36 MO 
 
 2(6R 2 O 3 - 
 
 18 SiO 2 ) 
 
 36 MO = 35.5 MgO 0.5 FeO 
 
 
 
 Magnet 
 
 
 
 86H 2 
 
 
 12 R 2 O 3 =9.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 
 
 72 
 
 37 MO 
 
 2(6A1 2 3 - 
 
 18SiO 2 ) 
 
 37 MO = 15.5 FeO 2 MnO 19.5 MgO 
 
 
 
 Prefiburg 
 
 
 
 12H 2 
 
 
 
 
 
 73 
 
 39 MO 
 
 2(6R 2 3 - 
 
 18Si0 2 ) 
 
 39 M0 = 33 MgO 1 CaO 5 K 2 O 
 
 M 
 
 Vesuvius 
 
 
 
 2H 2 
 
 
 12 R 2 O 3 = 9 A1 2 O 3 3 Fe 2 O 3 
 
 
 
 N. Micas of the type 
 R Si R Si R = 9 R 2 3 12 Si0 2 
 
 1 
 
 
 
 Source 
 
 74 
 
 12MO- 
 
 2(9 A1 2 O 3 
 12H 2 
 
 12 SiO 2 ) 
 
 12 M0 = 2 FeO 0.5 MnO 9.5 CaO 
 
 Margarite 
 
 Tokowaja 
 
 75 
 76 
 
 29 MO- 
 29 MO- 
 
 2(9 R 2 3 
 10H 2 O 
 
 2(9R 2 3 
 10H 2 O 
 
 12 SiO 2 ) 
 12 Si0 2 ) 
 
 29 MO = 1 .5 FeO 21 MgO 1.5 K 2 O 
 5 Na 2 O ; 18 R 2 O 3 = 17.5 Al 2 O 3 -0.5Fe 2 O 3 
 
 29 MO = 1.5 FeO 21 MgO 1.5 K 2 O 
 . 5 Na 2 O ; 18 R 2 O 3 = 17.5 A1 2 O 3 -0.5 Fe 2 O 3 
 
 Willcoxite 
 
 Shooting 
 Creek 
 
 Cullakenee 
 Mine 
 
 0. Micas of the type 
 Si R * Si R Si R Si = 9 R 2 3 20 Si0 2 
 
 1 
 
 
 
 Source 
 
 77 
 
 4MO- 
 
 2(9 R 2 O 3 
 24H 2 
 
 20 SiO 2 ) 
 
 4 MO = 0.5 FeO 0.5 MgO 2.5 K 2 O 
 0.5 CaO; 18 R 2 O 3 = 17.5 Al 2 O 3 -0.5Fe 2 O 3 
 
 Hygro- 
 philite 
 
 Nil St. 
 Vincent 
 
 78 
 
 6MO- 
 
 2(9 R 2 3 
 18H 2 O 
 
 20 Si0 2 ) 
 
 6MO = 5.5K 2 O-0.5H 2 O 
 18R 2 3 = 17Al 2 3 -lFe 2 3 
 
 Lesleyite 
 
 
 
 79 
 
 7MO- 
 
 2(9A1 2 3 - 
 
 20 SiO 2 ) 
 
 7 MO = 2.5 CaO 3 MgO 1.5 K 2 O 
 
 Muscovite 
 
 Dobrawa 
 
 
 
 15 H 2 
 
 
 
 
 
 80 
 
 8MO- 
 
 2(9R 2 3 - 
 16H 2 
 
 20 SiO 2 ) 
 
 8MO = lMgO-7K 2 O 
 18 R 2 O 3 = 16 A1 2 O 3 2 Fe 2 O 3 
 
 " 
 
 Mt.Leinster 
 Carlow 
 
 81 
 
 9MO- 
 
 2(9 R 2 O 3 
 
 20 SiO 2 ) 
 
 9 MO = 1 CaO - 2 MgO 4 K 2 O 2 Na 2 O 
 
 
 
 Botriphinie 
 
 
 
 16 H 2 
 
 
 18 R 2 O 3 = 15.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 
 
 82 
 
 9MO- 
 
 2(9R 2 3 - 
 
 20 Si0 2 ) 
 
 9 MO = 1 CaO 2 MgO - 4 K 2 O 2 Na 2 O 
 
 n 
 
 Vanlup 
 
 
 
 16H 2 
 
 
 18 R 2 O 3 = 15.5 A1 2 O 3 2.5 Fe 2 O 8 
 
 
 
 83 
 
 9 MO 
 
 2(9 R 2 8 
 
 20 SiO 2 ) 
 
 9 MO = 3 MgO 5 K 2 O 1 Na 2 O 
 
 t 
 
 St. Etienne 
 
 
 
 12H 2 O 
 
 
 18 R 2 O 3 = 17 A1 2 O 3 1 Fe 2 O 3 
 
 
 
THE MICA GROUP 
 
 373 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 18 Si0 2 ) 
 
 nH,0. 
 
 Analyst 
 
 
 SiOj 
 
 AljOa 
 
 Fe 2 0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Ficinus 
 Galbraith 
 
 Theory 
 II 
 
 Theory 
 IV 
 
 53.56 
 54.60 
 
 52.28 
 50.45 
 
 24.03 
 23.60 
 
 29.63 
 30.13 
 
 7 
 
 8 
 
 .93 
 .60 
 
 1.96Mn 2 O 3 
 1.60Mn 2 O 3 
 
 3.48 
 3.53 
 
 0.69 
 0.80 
 
 1.45 
 1.09 
 
 10.49 
 11.20 
 
 4.55 
 4.81 
 
 0.75 
 0.95 
 
 1.34 
 1.20 
 
 7.84 
 7.58 
 
 100.00 
 101.60 
 
 100.00 
 98.54 
 
 
 
 Theory 
 V 
 
 51.59 
 50.11 
 
 29.23 
 29.37 
 
 
 
 2.58 
 2.23 
 
 0.34 
 
 0.95 
 1.03 
 
 6.73 
 6.71 
 
 0.74 
 0.60 
 
 8.18 
 8.03 
 
 100.00 
 98.42 
 
 Kobell 
 
 Theory 
 XXXIII 
 
 53 
 52 
 
 .71 
 .52 
 
 30.43 
 
 30.88 
 
 
 
 0.89 
 0.80 
 
 
 
 3.48 
 3.82 
 
 7.02 
 6.38 
 
 ~ 
 
 4.47 
 4.60 
 
 100.00 
 99.00 
 
 Miiller 
 
 Theory 
 C 
 
 36.82 
 36.08 
 
 4 
 
 4 
 
 .32 
 .99 
 
 25.92 
 25.98 
 
 14.73 
 14.28 
 
 5.25 
 5.43 
 
 
 
 8.02 
 7.96 
 
 3.69 
 3.68 
 
 1.22 
 1.31 
 
 100.00 
 99.71 
 
 Bromeis 
 
 Theory 
 XXII 
 
 43 
 
 43 
 
 27 
 02 
 
 17 
 16 
 
 .37 
 
 .85 
 
 11 
 11 
 
 .22 
 .63 
 
 
 
 
 
 
 18.83 
 19.11 
 
 8.07 
 8.60 
 
 1.24 
 1.16 
 
 z 
 
 100.00 
 100.36 
 
 Konig 
 
 Theory 
 
 cxxxv 
 
 33 
 33 
 
 06 
 
 28 
 
 14.84 
 
 14.88 
 
 6.12 
 6.36 
 
 0.55 
 0.57 
 
 
 
 
 21.74 
 21.52 
 
 
 
 
 
 23.69 
 23.90 
 
 100.00 
 100.51 
 
 C.v.Hauer 
 
 Theory 
 XLV 
 
 38 
 38 
 
 26 
 13 
 
 21 
 
 21 
 
 82 
 60 
 
 
 
 19.77 
 19.92 
 
 
 
 
 13.81 
 13.76 
 
 2.51 MnO 
 2.61 MnO 
 
 
 
 3.83 
 3.98 
 
 100.00 
 100.00 
 
 Bromeis 
 
 Theory 
 LIV 
 
 39.71 
 39.75 
 
 16.88 
 15.99 
 
 8 
 8 
 
 82 
 29 
 
 
 
 
 1.02 
 
 0.87 
 
 24.26 
 24.49 
 
 8.64 
 8.78 
 
 = 
 
 0.67 
 0.75 
 
 100.00 
 98.92 
 
 or the general formula 
 m MO 2 (9 R 2 3 12 Si0 2 ) 
 
 nH 2 
 
 0. 
 
 
 
 Analyst 
 
 
 SiO, 
 
 A1 2 0, 
 
 Fe,O, FeO 
 
 CaO 
 
 MgO KjO 
 
 Na,O 
 
 H,0 
 
 Total 
 
 Jewrechow 
 
 Theory 
 XV 
 
 34.26 
 34.02 
 
 43.68 
 43.33 
 
 3.42 
 3.02 
 
 12.67 
 13.11 
 
 0.84 MnO 
 1.05 MnO 
 
 
 
 5.13 
 5.34 
 
 100.00 
 99.87 
 
 Kdnig 
 
 Theory 
 I 
 
 29.48 
 28.96 
 
 36.56 
 37.49 
 
 1.64 2.22 
 1.26 2.46 
 
 
 
 17.20 2.88 ( 
 17.35 2.46 ( 
 
 3.34 
 5.73 
 
 3.68 
 4.00 
 
 100.00 
 100.69 
 
 M 
 
 Theory 
 II 
 
 29.48 
 29.50 
 
 36.56 
 37.56 
 
 1.64 2.22 
 1.40 2.42 
 
 - 
 
 17.20 2.88 < 
 17.20 2.42 ( 
 
 3.34 
 5.24 
 
 3.68 
 3.32 
 
 100.00 
 100.02 
 
 or the general formula 
 
 m MO 2 (9 R 2 3 20 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO a 
 
 A1 2 3 
 
 Fe 2 8 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,O 
 
 H,0 
 
 Total 
 
 Renard 
 
 Theory 
 III 
 
 47.33 
 47.02 
 
 35.19 
 34.82 
 
 1.58 
 2.57 
 
 1.41 
 0.68 
 
 0.55 
 0.20 
 
 0.79 
 0.52 
 
 4.63 
 4.60 
 
 0.18 
 
 8.52 
 8.35 
 
 100.00 
 98.94 
 
 Roepper 
 
 Theory 
 VIII 
 
 46.66 
 47.02 
 
 33.71 
 33.27 
 
 3.11 
 
 2.84 
 
 z 
 
 ~ 
 
 
 
 10.05 
 9.97 
 
 ~ 
 
 6.47 
 6.71 
 
 100.00 
 99.79 
 
 Boricky 
 
 Theory 
 XXX 
 
 48.91 
 
 48.74 
 
 37.42 
 37.96 
 
 z 
 
 
 
 2.85 
 2.63 
 
 2.44 
 2.41 
 
 2.87 
 3.07 
 
 
 
 5.51 
 5.45 
 
 100.00 
 100.26 
 
 Haughton 
 
 Theory 
 LVIII 
 
 44.96 
 44.64 
 
 30.57 
 30.18 
 
 5.99 
 6.35 
 
 
 
 
 
 0.75 
 0.72 
 
 12.33 
 12.40 
 
 
 
 5.40 
 5.32 
 
 100.00 
 99.61 
 
 Heddle 
 
 Theory 
 LI 
 
 45.24 
 45.10 
 
 29.80 
 29.90 
 
 7.54 
 
 7.87 
 
 0.03 MnO 
 
 1.06 
 0.62 
 
 1.51 
 
 0.72 
 
 7.09 
 
 7.84 
 
 2.34 
 2.56 
 
 5.43 
 5.51 
 
 100.00 
 100.15 
 
 
 
 Theory 
 LIV 
 
 45.24 
 45.43 
 
 29.80 
 29.65 
 
 7.54 
 8.33 
 
 0.02 MnO 
 
 1.06 
 0.79 
 
 1.51 
 1.70 
 
 7.09 
 6.94 
 
 2.34 
 
 2.27 
 
 5.43 
 5.29 
 
 100.00 
 100.42 
 
 Delesse 
 
 Theory 
 XLVII 
 
 46.67 
 46.23 
 
 33.71 
 33.03 
 
 3.12 
 3.48 
 
 __ 
 
 __ 
 
 1.94 
 2.10 
 
 9.14 
 
 8.87 
 
 1.21 
 1.45 
 
 4.21 
 4.12 
 
 100.00 
 99.28 
 
374 
 
 THE SCAPOLITE GROUP 
 
 Source 
 
 84 
 85 
 86 
 
 10 MO 2(9 R 2 O 3 20 SiO 2 ) 
 4H 2 
 
 14 MO 2(9 A1 2 O 3 20 SiO 2 ) 
 11 H 2 O 
 
 14MO-2(9AI 2 O 3 -20SiO) 2 
 11H 2 O 
 
 10 MO =4 K 2 O 3.5 Na 2 O 2.5 MgO 
 18 R 2 O 3 =17.5 A1 2 3 0.5 Fe 2 O 3 
 
 14 MO = 1 .5 FeO 2 BaO 0.5 CaO 
 4 MgO 4.5 K 2 O 1.5 Na 2 O 
 
 14 MO = 1.5 FeO - 2 BaO 0.5 CaO 
 4MgO-4.5K 2 O-1.5Na 2 O 
 
 Muscovite 
 
 Zillertal 
 Pfitschtal 
 
 New Formulae for the 
 The following analyses of the minerals 
 
 A. Si R Si =3 R 2 3 10 SiO 
 
 B. Si - R Si =3 R 2 3 - 12 Si0 2 , 
 
 /Si 
 
 C. R^Si - 3 R 2 3 - 15 Si0 2 , 
 
 Vi 
 
 D. R Si - Si R =5 R 2 3 12 Si0 2 , 
 
 E. Si R Si R S A i = 5 R 2 3 18 Si0 2 , 
 
 A. Scapolites of the type 
 
 Si & Si = 3 R 2 3 10 Si0 2 
 
 
 
 Source 
 
 Analyst 
 
 l 
 
 6 MO 2(3 R 2 O 3 10 SiO 2 ) 
 
 6 MO = 3 MgO 2.5 K 2 O 0.5 H 2 O 
 
 Algerite 
 
 Crossley 
 
 
 6H 2 O 
 
 6 R 2 O 3 =5.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 Franklin N.J. 
 
 
 2 
 
 9 MO 2(3 A1 2 O 3 10 SiO 2 ) 
 
 9 MO = 4.25 CaO 4.25 Na 2 O 0.5 H 2 O 
 
 St. Lawrence 
 
 Rammels- 
 
 
 2H 2 O 
 
 
 Co., N.S. 
 
 berg 
 
 3 
 
 9MO-2(3Al 2 O 3 -10SiO 2 ) 
 
 9 MO = 5.75 CaO 2.75 Na 2 O 
 
 Arendal 
 
 Wolff 
 
 
 0.5H 2 
 
 - 0.25 MgO - 0.25 K 2 O 
 
 
 
 4 
 
 9MO-2(3Al 2 O 3 -10SiO 2 ) 
 
 9 MO = 6 CaO 2.25 Na 2 O 0.25 K 2 O 
 
 Arendal 
 
 D amour 
 
 
 4H 2 O 
 
 0.5H 2 O 
 
 
 
 5 
 
 HMO-2(3Al 2 O 3 -10SiO 2 ) 
 
 11 MO = 7.75 CaO 1.5 Na 2 O 
 
 Mais j 6 
 
 G. v. Rath 
 
 
 2.5H 2 O 
 
 0.25 K 2 O- 1.5 MgO 
 
 
 
 6 
 
 12 MO 8(3 R 2 O 3 10 SiO 2 ) 
 40 H 2 O 4 CaCO 3 
 
 12MO = 10K 2 O-2MgO 
 24 R 2 3 = 23 A1 2 O 3 1 Fe 2 O 3 
 
 Algerite 
 Franklin N.J. 
 
 Hunt 
 
 7 
 
 23 MO 8(3 A1 2 O 3 10 SiO 2 ) 
 
 23 MO = 12 CaO 10 Na 2 O 1 K 2 O 
 
 Gulsj6 
 
 Hermann 
 
 
 - 2 H 2 O 3 CaCO 3 
 
 
 
 
 8 
 
 22 MO 8(3 A1 2 O 3 10 SiO 2 ) 
 
 22 MO = 12 MgO 10 K 2 O 
 
 Algerite 
 
 Crossley 
 
 
 26H 2 0-4CaC0 3 ) 
 
 24 R 2 3 = 23 A1 2 3 - 1 Fe 2 O 3 
 
 Franklin N.J. 
 
 
 9 
 
 36 MO 8(3 A1 2 O 3 10 SiO 2 ) 
 
 36 MO = 22 CaO 9 Na 2 O 2 K 2 O 
 
 Mais j 5 
 
 G. v. Rath 
 
 
 12H 2 O-lCaCO 3 
 
 3 MgO 
 
 
 
 10 
 
 30 MO 8(3 A1 2 O 3 10 SiO 2 ) 
 
 30 MO = 20 CaO 10 Na 2 O 
 
 Kupfermine 
 
 Lacroix 
 
 
 2H 2 O-1 CaS0 4 
 
 
 
 
THE ORTHOCHLORITE GROUP 
 
 375 
 
 Analyst 
 
 
 SiOj 
 
 AlaO, 
 
 Fe 2 0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K a O 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Schafhautl 
 
 Theory 
 XXXVI 
 
 47.72 
 47.05 
 
 35.49 
 34.90 
 
 1.59 
 1.50 
 
 ___ 
 
 
 
 1.98 
 1.95 
 
 7.47 
 7.96 
 
 4.32 
 4.07 
 
 1.43 
 1.45 
 
 100.00 
 
 98.88 
 
 Rammels- 
 berg 
 
 Theory 
 XL 
 
 43.39 
 43.09 
 
 33.19 
 32.79 
 
 5.51 BaO 
 5.91 BaO 
 
 1.95 
 1.85 
 
 0.56 
 0.23 
 
 2.88 
 2.90 
 
 7.28 
 7.61 
 
 1.68 
 1.42 
 
 3.56 
 4.26 
 
 100.00 
 100.35 
 
 Rammels- 
 berg 
 
 Theory 
 XLI 
 
 43.39 
 42.90 
 
 33.19 
 32.40 
 
 5.51 BaO 
 5.82 BaO 
 
 1.95 
 2.40 
 
 0.56 
 0.80 
 
 2.88 
 2.87 
 
 7.28 
 7,47 
 
 1.68 
 1.73 
 
 3.56 
 3.02 
 
 100.00 
 99.41 
 
 Scapolito Group 
 
 of this group conform to the following formulae : 
 
 F. Si R . Si Si R Si =5 R 2 3 22 Si0 2 , 
 
 G. R Si Si R 
 
 H. Si R Si R Si 
 
 J. Si R Si R Si 
 
 K. Si R S A i Si R Si 
 
 L. Si R Si R Si R Si = 9 R 2 3 20 Si0 2 . 
 
 or the general formulae 
 
 (a) m MO 2 (3 R 2 3 10 Si0 2 ) n H 2 0, 
 
 (b) m MO 8 (3 R 2 3 10 Si0 2 ) n H 2 p CaC0 3 (or p CaS0 4 ). 
 
 = 6 R 2 3 12 Si0 2 , 
 = 6 R 2 3 16 Si0 2 , 
 = 6 R 2 3 18 Si0 2 , 
 = 6 R 2 3 22 Si0 2 , 
 
 
 SiO a 
 
 Al,0, 
 
 Fe.0, 
 
 FeO | MgO 
 
 CaO 
 
 K 8 O 
 
 Na z O 
 
 H a O 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 a 
 
 Total 
 
 Theory 
 LXXXIa 
 
 52.21 
 52.00 
 
 25.52 
 25.42 
 
 1.74 
 1.54 
 
 - 
 
 5.22 
 5.39 
 
 
 
 10.22 
 10.38 
 
 
 
 5.09 
 5.27 
 
 
 
 
 
 
 
 
 
 100.00 
 100.00 
 
 Theory 
 XCII 
 
 50.88 
 50.73 
 
 25.95 
 25.40 
 
 - 
 
 
 
 ~ 
 
 10.09 
 10.24 
 
 
 
 11.17 
 11.09 
 
 1.91 
 1.96 
 
 ___ 
 
 
 
 
 
 0.09 
 
 100.00 
 99.60 
 
 Theory 
 XXX 
 
 51.14 
 50.91 
 
 26.07 
 25.81 
 
 0.75 
 
 
 
 0.43 
 0.58 
 
 13.75 
 13.34 
 
 1.00 
 0.85 
 
 7.26 
 7.09 
 
 0.38 
 0.41 
 
 __ 
 
 
 
 
 
 
 
 100.00 
 
 99.74 
 
 Theory 
 XXXVI 
 
 50.17 
 50.30 
 
 25.58 
 25.08 
 
 
 
 
 
 
 
 14.05 
 14.08 
 
 0.98 
 1.01 
 
 5.83 
 
 5.98 
 
 3.39 
 3.25 
 
 
 
 . 
 
 
 
 
 
 100.00 
 99.70 
 
 Theory 
 XLII 
 
 48.63 
 47.24 
 
 24.81 
 24.69 
 
 Trace 
 
 
 2.43 
 2.18 
 
 17.59 
 16.84 
 
 0.95 
 0.85 
 
 3.77 
 3.55 
 
 1.82 
 1.72 
 
 
 
 
 
 ___ 
 
 
 
 100.00 
 98.07 
 
 Theory 
 LXXX 
 
 50.81 
 49.82 
 
 24.84 
 24.91 
 
 1.69 
 1.85 
 
 
 
 0.85 
 1.15 
 
 2.37 
 
 2.20 
 
 9.95 
 10.21 
 
 Trace 
 
 7.57 
 
 
 
 
 
 1.86 
 1.74 
 
 
 
 100.00 
 99.45 
 
 Theory 
 XLV 
 
 53.52 
 52.94 
 
 27.29 
 27.64 
 
 
 
 0.30 
 
 0.25 MnO 
 
 9.36 
 9.10 
 
 1.05 
 0.54 
 
 6.91 
 6.89 
 
 0.40 
 0.66 
 
 
 
 
 
 1.47 
 1.50 
 
 
 
 100.00 
 99.72 
 
 Theory 
 LXXXI 
 
 50.03 
 49-96 
 
 24.45 
 24.41 
 
 1.68 
 1.48 
 
 
 
 5.00 
 5.18 
 
 ___ 
 
 9.80 
 9.97 
 
 _ 
 
 4.87 
 5.06 
 
 
 
 4.17 
 4.21 
 
 
 
 
 
 100.00 
 100.27 
 
 Theory 
 XLI 
 
 49.68 
 49.36 
 
 25.33 
 25.33 
 
 
 
 __ 
 
 1.24 
 1.05 
 
 12.75 
 12.47 
 
 1.95 
 1.51 
 
 5.77 
 
 5.81 
 
 2.24 
 2.42 
 
 
 
 1.04 
 1.35 
 
 
 
 
 
 100.00 
 99.35 
 
 Theory 
 CXV 
 
 52.41 
 52.62 
 
 26.72 
 
 26.42 
 
 Trace 
 
 z 
 
 ~ 
 
 12.84 
 13.11 
 
 0.45 
 
 6.77 
 6.62 
 
 0.39 
 0.43 
 
 0.87 SO 3 
 0.79 SO 8 
 
 __ 
 
 __ 
 
 0.10 
 
 100.00 
 100.54 
 
376 
 
 THE SCAPOLITE GROUP 
 
 B. Scapolites of the type 
 -R-S A i = 3R 2 3 -12Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 11 
 
 9 MO 
 
 2(3 A1 2 O 3 
 
 12 SiO 2 ) 
 
 9 MO =4.25 CaO 4.25 Na 2 O 0.5 K 2 O 
 
 Mizzonite 
 
 Rath 
 
 12 
 13 
 
 9 MO 
 15 MO 
 
 2(3 A1 2 O 3 
 1H 2 O 
 
 4(3 A1O 3 
 3NaCl 
 
 12SiO 2 ) 
 12 SiO 2 ) 
 
 9 MO=4.25 CaO 1.75 K 2 O 1.5 Na 2 O 
 1 MgO 0.5 H 2 O 
 
 15 MO = 9 CaO 5.5 Na 2 O 0.5 K 2 O 
 
 Dipyre from 
 Pouzac 
 
 St.Lawrence 
 Co., N.S. 
 
 H. Schulz 
 Lemberg 
 
 C. Scapolites of the type 
 
 /s 
 
 R Si = 3 R 2 3 15 Si0 2 
 
 14 
 15 
 
 
 
 Source 
 
 Analyst 
 
 8 MO 
 10 MO 
 
 2(3 Al 2 a 
 
 2(3 A1 2 2 
 4H 2 O 
 
 15 SiO 2 ) 
 15 SiO 2 ) 
 
 8 MO =4.5Na 2 O - 2.5 CaO 0.5 MgO 
 0.5 K 2 O 
 
 10 MO =5.5 MgO 3 K 2 O 0.75 FeO 
 0.25 Na 2 O 0.5 CaO 
 
 Marialite, 
 Pianura 
 
 Couseranite, 
 Pouzac 
 
 G. v. Rath 
 Pisani 
 
 D. Scapolites of the type 
 R"- Si - Si - RT= 5 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 16 
 
 10MO-2(5A1 2 3 - 
 
 12 SiO 2 ) 
 
 10 MO = 10 CaO 
 
 Stansvik 
 
 Lagus 
 Olckonen 
 
 17 
 
 10MO-2(5A1 2 3 - 
 2H 2 
 
 12 Si0 2 ) 
 
 10MO=9CaO-lNa 2 O 
 
 Clay Co., N.C. 
 
 Berkley 
 
 18 
 
 11MO-2(5A1 2 O 3 - 
 2H 2 
 
 12 SiO 2 ) 
 
 HMO = 10CaO-0.5K 2 O 
 0.5 Na 2 O 
 
 Pargas 
 
 Wolff 
 
 19 
 
 11MO-2(5A1 2 3 - 
 17H 2 
 
 12 SiO 2 ) 
 
 HMO = 4MgO-3CaO 
 3 K 2 O 1 Na 2 O 
 
 Wilsonite 
 Bathurst, Canada 
 
 Selkmann 
 
 20 
 
 12MO-2(5A1 2 O 3 - 
 
 12 SiO 2 ) 
 
 12 MO = 12 CaO 
 
 Stansvik 
 
 Lagus 
 Olckonen 
 
 21 
 
 14MO-2(5A1 2 O 3 - 
 
 12 SiO 2 ) 
 
 14MO = 12CaO-1.5Na 2 O 
 0.5 K 2 O 
 
 Ersbyite, Pargas 
 
 N. Norden- 
 skiold 
 
 22 
 
 15MO-2(5A1 2 O 3 - 
 
 12 SiO 2 ) 
 
 15MO = 13CaO-2Na 2 O 
 
 Baikalsee 
 
 Hermann 
 
 23 
 
 15MO-2(5A1 2 O 3 - 
 
 12 SiO 2 ) 
 
 15 MO = 13 CaO -1 MgO 
 0.5 K 2 O 0.5 Na 2 O 
 
 Mejonite from 
 Vesuvius 
 
 G. v. Rath 
 
 24 
 
 18MO-2(5A1 2 O 3 - 
 14H 2 
 
 12SiO 2 ) 
 
 18 MO = 15.5 CaO 2.5 MgO 
 10R 2 O 3 = 8.5Al 2 O 3 -1.5Fe 2 O 3 
 
 Atheriastite, 
 Arendal 
 
 Berlin 
 
THE SCAPOLITE GROUP 
 
 377 
 
 or the general formulae 
 
 (a) m MO 2 (3 R 2 3 12 SiO 2 ) n H 2 0, 
 
 (b) m MO 4 (3 R 2 3 12 Si0 2 ) n NaCl. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe 2 s 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 ci 
 
 Total 
 
 Theory 
 XVI 
 
 55.38 
 54.70 
 
 23.52 
 
 23.80 
 
 
 
 z 
 
 0.22 
 
 9.15 
 
 8.77 
 
 1.82 
 2.14 
 
 10.13 
 9.83 
 
 0.13 
 
 ~ 
 
 ~ 
 
 - 
 
 
 
 100.00 
 99.59 
 
 Theory 
 XXIII 
 
 55.08 
 53.97 
 
 23.41 
 23.68 
 
 z 
 
 -^ 
 
 1.53 
 1.40 
 
 9.10 
 8.76 
 
 6.29 
 6.43 
 
 3.56 
 3.55 
 
 1.03 
 0.98 
 
 ~ 
 
 ~ 
 
 - 
 
 - 
 
 100.00 
 
 98.77 
 
 Theory 
 XCIV 
 
 55.69 
 55.04 
 
 23.67 
 23.62 
 
 z 
 
 - 
 
 ~ 
 
 9.75 
 9.38 
 
 0.91 
 0.73 
 
 6.59 
 6.29 
 
 0.28 
 
 3.39 
 3.69 
 
 ~ 
 
 - 
 
 ~ 
 
 100.00 
 99.03 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 15 Si0 2 ) n H 2 0. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na,O 
 
 H,0 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 XVIII 
 
 62.11 
 
 62.72 
 
 21.12 
 21.82 
 
 z 
 
 z 
 
 0.69 
 0.31 
 
 4.83 
 4.62 
 
 1.62 
 1.15 
 
 9.63 
 9.37 
 
 
 
 Z 
 
 
 
 z 
 
 
 
 100.00 
 100.00 
 
 Theory 
 XXV 
 
 58.37 
 58,33 
 
 19.85 
 20.20 
 
 - 
 
 1.75 
 1.90 
 
 7.14 
 
 7.20 
 
 0.90 
 0.99 
 
 9.15 
 
 8.82 
 
 0.50 
 0.76 
 
 2.34 
 2.35 
 
 
 
 ~ 
 
 - 
 
 - 
 
 100.00 
 100.55 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 12 Si0 2 ) n H 2 0. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe 2 0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na 2 
 
 H a O 
 
 NaCl 
 
 CaC0 3 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 
 LXVHI 
 
 47.68 
 47.60 
 
 33.77 
 33.50 
 
 - 
 
 - 
 
 z 
 
 18.55 
 17.20 
 
 ~ 
 
 
 
 __ 
 
 
 
 ___ 
 
 
 
 
 
 100.00 
 98.30 
 
 Theory 
 LXXVIII 
 
 47.03 
 47.54 
 
 33.31 
 34.03 
 
 - 
 
 
 
 - 
 
 16.46 
 17.23 
 
 
 
 2.02 
 1.82 
 
 1.18 
 1.02 
 
 
 
 
 
 
 
 
 
 100.00 
 101.64 
 
 Theory 
 LIX 
 
 45.95 
 45.10 
 
 32.55 
 32.76 
 
 - 
 
 
 
 
 
 17.87 
 17.84 
 
 1.50 
 0.68 
 
 0.99 
 0.76 
 
 1.14 
 1.04 
 
 
 
 
 
 
 
 
 
 100.00 
 98.18 
 
 Theory 
 CXIII 
 
 41.88 
 41.26 
 
 29.66 
 30.31 
 
 - 
 
 
 
 4.66 
 4.20 
 
 4.89 
 5.34 
 
 8.20 
 7.43 
 
 1.80 
 1.97 
 
 8.91 
 8.83 
 
 
 
 
 
 
 
 
 
 100.00 
 99.34 
 
 Theory 
 LXIX 
 
 45.98 
 45.60 
 
 32.56 
 32.60 
 
 
 
 - 
 
 
 
 21.46 
 23.40 
 
 
 
 z 
 
 z 
 
 
 
 
 
 
 
 
 
 100.00 
 101.60 
 
 Theory 
 LVII 
 
 44.02 
 44.26 
 
 31.17 
 30.37 
 
 
 
 - 
 
 0.15 
 
 20.54 
 20.17 
 
 1.43 
 1.15 
 
 2.84 
 2.75 
 
 
 
 
 
 
 
 
 
 
 
 100.00 
 98.85 
 
 Theory 
 LXXVa 
 
 43.48 
 43.35 
 
 30.80 
 30.52 
 
 0.95 
 
 
 
 ~ 
 
 21.98 
 21.59 
 
 z 
 
 3.74 
 3.74 
 
 __ 
 
 
 
 
 
 
 
 
 
 100.00 
 100.15 
 
 Theory 
 XIII 
 
 43.56 
 42.55 
 
 30.85 
 30.89 
 
 0.41 
 
 
 
 1.21 
 0.83 
 
 22.02 
 21.41 
 
 1.42 
 0.93 
 
 0.94 
 1.25 
 
 __ 
 
 
 
 
 
 
 
 
 
 100.00 
 98.46 
 
 Theory 
 XXXVIII 
 
 38.23 
 38.00 
 
 23.02 
 24.10 
 
 6.37 
 5-60 
 
 - 
 
 2.65 
 2.80 
 
 23.04 
 22.64 
 
 
 
 
 
 6.69 
 6.95 
 
 ___ 
 
 _ 
 
 
 
 
 
 100.00 
 100.09 
 
378 
 
 THE SCAPOLITE GROUP 
 
 E. Scapolites of the type 
 Si R Si R Si = 5 R 2 3 18 Si0 2 
 
 
 
 
 Source Analyst 
 
 25 
 
 HMO 
 
 2(5R 2 O 3 - 
 
 18SiO 2 ) 
 
 H MO = 9 CaO 4.5 Na 2 O 0.5 K 2 O 
 
 Mais j 6 SipOcz 
 
 26 
 
 HMO 
 
 2(5R 2 O 3 - 
 
 18 SiO 2 ) 
 
 14 MO = 6 CaO 3 K 2 O 3 MgO-1 Na 2 O 
 
 Tiree F. Heddle 
 
 
 
 HH 2 
 
 
 . 1 FeO ; 10 R 2 O 3 =9 A1 2 O 3 1 Fe 2 O 3 
 
 
 27 
 
 32 MO 
 
 2(5A1 2 O 3 
 
 18SiO 2 ) 
 
 32MO = 31CaO-lMgO 
 
 Storgard Norden- 
 
 
 
 10H 2 
 
 
 
 skiold 
 
 28 
 
 8 MO 
 
 2(5 R 2 O 3 
 
 18SiO 2 ) 
 
 8 M0=3.5 K 2 2.5 CaO 2 MgO 
 
 Bolton, G. v. Rath 
 
 
 10H 2 O-3CaCO 3 ) 
 
 10 R 2 O 3 =9.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 Mass. 
 
 
 
 F. Scapolites of the type 
 
 
 
 Si R S A i Si R Si = 5 R 2 3 22 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 29 
 
 12 MO 
 
 2(5R 2 O 8 - 
 
 22 SiO 2 ) 
 
 12 MO = 6.5 Na 2 O 5 CaO 0.5 MgO 
 
 Coquimbo 
 
 Jannetaz 
 
 
 
 10H 2 O 
 
 
 10R 2 3 =9Al 2 O 3 -lFe 2 3 
 
 
 
 30 
 
 15 MO 
 
 2(5Al 2 O a 
 
 22SiO 2 ) 
 
 15 MO = 3 MgO 6 CaO 6 Na 2 O 
 
 Bamle 
 
 Vogt 
 
 
 
 G. Scapolites of the type 
 
 
 
 R Si Si R = 6 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 31 
 
 11 MO 
 
 2(6A1 2 O 8 - 
 
 12SiO 2 ) 
 
 HMO = llCaO 
 
 Helsingfors 
 
 Wilk 
 
 32 
 
 11 MO 
 
 2(6A1 2 O 8 - 
 
 12SiO 2 ) 
 
 HMO = llCaO 
 
 Pargas 
 
 Norden- 
 
 
 
 2H 2 
 
 
 
 
 skiold 
 
 
 
 H. Scapolites of the type 
 
 
 
 Si R Si R Si = 6 R 2 3 16 Si0 2 
 
 
 
 Source 
 
 Analyst 
 
 33 
 
 9 MO 
 
 2(6R 2 S 
 
 16SiO 2 ) 
 
 9 MO = 6 CaO 3 Na 2 O 12 R 2 O 3 
 
 Petteby 
 
 Hartwall 
 
 
 
 2H 2 
 
 
 = 11.5Al 2 O 3 -0.5Fe 2 O 3 
 
 
 
 34 
 
 10 MO 
 
 2(6A1 2 3 
 
 16SiO 2 ) 
 
 10 MO = 4.5 MgO 4 K 2 O 1 CaO 
 
 Bathurst, 
 
 Hunt 
 
 
 
 12H 2 O 
 
 
 0.5Na 2 
 
 Canada 
 
 
 35 
 
 13 MO 
 
 2(6R 2 3 - 
 
 16 SiO 2 ) 
 
 13 MO = 10.5 CaO 1.5 Na 2 O-0.5 K 2 O 
 
 Diana,Lewis 
 
 Hermann 
 
 
 
 
 
 0.5H 2 O; 12R 2 O 3 =--11.5Al 2 O 3 -0.5Fe 2 O 3 
 
 Co., N.S. 
 
 
 36 
 
 13 MO 
 
 2(6A1 2 3 
 
 16SiO 2 ) 
 
 13MO = llCaO-2Na 2 O 
 
 Ersby 
 
 Hartwall 
 
 
 
 1H 2 
 
 
 
 
 Herdberg 
 
 37 
 
 HMO 
 
 2(6 A1 2 O 3 
 
 16SiO 2 ) 
 
 14 MO = 5 CaO 4 MgO 4 K 2 O 
 
 Bathurst, 
 
 Hunt 
 
 
 
 21 H 2 
 
 
 1 Na 2 
 
 Canada 
 
 
 38 
 
 17 MO 
 
 2(6A1 2 3 
 
 16 SiO 2 
 
 17 MO = 14.5 CaO 2 Na 2 O 0.5 K 2 O 
 
 Laacher See 
 
 Rath 
 
 
 
 1H 2 
 
 
 
 
 
 39 
 
 18 MO 
 
 2(6 R 2 O 3 
 
 16 SiO 2 ) 
 
 18 MO = 15.5 CaO 1.5 Na 2 O 1 MgO 
 
 Bolton, 
 
 G. v. Rath 
 
 
 
 3H 2 O 
 
 
 1 2 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 Mass. 
 
 
THE SCAPOLITE GROUP 
 
 379 
 
 or the general formulae 
 
 (a) m MO 2 (5 R 2 3 18 Si0 2 ) n H 2 0, 
 
 (b) m MO 2 (5 R 2 3 18 SiO 2 ) n H 2 0. p CaC0 3 . 
 
 
 Si0 2 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K 8 
 
 Na,O 
 
 H,0 
 
 Nad 
 
 CaCO, 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 XLIII 
 
 53.86 
 52.48 
 
 25.44 
 25.56 
 
 - 
 
 0.39 
 
 ___ 
 
 12.57 
 12.44 
 
 1.17 
 0.79 
 
 6.96 
 6.52 
 
 0.61 
 
 0.58 SO 3 
 
 
 
 0.14 
 
 0.27 
 
 100.00 
 99.78 
 
 Theory 
 XXIX 
 
 49.52 
 48.92 
 
 21.05 
 22.10 
 
 3.67 
 3.16 
 
 1.65 
 1.51 
 
 2.75 
 
 2.77 
 
 7.70 
 7.75 
 
 6.47 
 6.06 
 
 1.42 
 1.28 
 
 5.77 
 5.69 
 
 0.54 MnO 
 
 
 
 
 
 
 
 100.00 
 99.78 
 
 Theory 
 LV 
 
 42.06 
 41.25 
 
 19.86 
 20.36 
 
 
 
 z 
 
 0.78 
 0.54 
 
 33.80 
 33.58 
 
 z 
 
 ~ 
 
 3.50 
 3.32 
 
 
 
 
 
 
 
 
 
 100.00 
 99.05 
 
 Theory 
 CVI 
 
 50.97 
 49.99 
 
 22.87 
 23.01 
 
 1.89 
 1.64 
 
 - 
 
 1.89 
 1.73 
 
 3.30 
 3.35 
 
 7.76 
 7.09 
 
 0.35 
 
 4.25 
 4.23 
 
 
 
 7.07 
 7.80 
 
 ___ 
 
 
 
 100.00 
 99.19 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 22 Si0 2 ) n H 2 O. 
 
 
 SiO 2 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na,O 
 
 H,0 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 LXXVII 
 
 57.38 
 57.40 
 
 19.95 
 19.60 
 
 3.48 
 3.40 
 
 
 
 0.43 
 0.40 
 
 6.09 
 6.20 
 
 Trace 
 
 8.76 
 8.80 
 
 3.91 
 3.41 
 
 __ 
 
 ___ 
 
 
 
 
 
 100.00 
 99.21 
 
 Theory 
 XXXIX 
 
 58.82 
 59.66 
 
 22.73 
 22.65 
 
 
 
 
 
 2.67 
 2.60 
 
 7.49 
 7.32 
 
 - 
 
 8.29 
 8.13 
 
 ~ 
 
 
 
 z 
 
 
 
 - 
 
 100.00 
 100.36 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 12 Si0 2 ) 
 
 nH 2 0. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 MgO 
 
 CaO | K a O 
 
 Na 2 
 
 H 2 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 LXX 
 
 43.90 
 43.63 
 
 37.32 
 36.93 
 
 - 
 
 ~ 
 
 ~ 
 
 18.78 
 18.37 
 
 
 
 - 
 
 ~ 
 
 - 
 
 
 
 - 
 
 - 
 
 100.00 
 98.93 
 
 Theory 
 LIII 
 
 43.43 
 43.83 
 
 36.91 
 35.43 
 
 - 
 
 - 
 
 ~ 
 
 18.57 
 18.96 
 
 z 
 
 - 
 
 1.09 
 1.03 
 
 
 
 
 
 
 
 - 
 
 100.00 
 99.25 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 16 SiO 2 ) n H 2 0. 
 
 
 SiO, 
 
 Al,0, 
 
 Fe 2 O 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K a O 
 
 Na 2 o| H a O 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 LXVII 
 
 51.46 
 51.34 
 
 31.44 
 32.27 
 
 2.15 
 1.91 
 
 
 
 
 
 9.01 
 9.33 
 
 - 
 
 4.98 
 5.12 
 
 0.96 
 1.00 
 
 
 
 
 
 
 
 
 
 100.00 
 100.97 
 
 Theory 
 CXII 
 
 47.97 
 47.60 
 
 30.58 
 31.20 
 
 ~ 
 
 z 
 
 4.50 
 4.19 
 
 1.40 
 0.95 
 
 9.39 
 9.30 
 
 0.77 
 
 0.88 
 
 5.39 
 5.43 
 
 z 
 
 z 
 
 z 
 
 z 
 
 100.00 
 99.55 
 
 Theory 
 LXXXVI 
 
 49.10 
 47.94 
 
 30.00 
 30.02 
 
 2.05 
 2.60 
 
 0.26 MnO 
 
 z 
 
 15.04 
 14.41 
 
 1.20 
 0.73 
 
 2.38 
 2.20 
 
 0.22 
 0.31 
 
 
 
 ___ 
 
 z 
 
 z 
 
 100.00 
 
 98.47 
 
 Theory 
 LXV 
 
 49.20 
 
 48.87 
 
 31.37 
 31.05 
 
 
 
 __ 
 
 
 
 15.79 
 15.94 
 
 
 
 3.18 
 3.25 
 
 0.46 
 0.61 
 
 __ 
 
 
 
 z 
 
 z 
 
 100.00 
 99.62 
 
 Theory 
 CXI 
 
 43.64 
 43.55 
 
 27.82 
 27.94 
 
 0.20 
 
 
 
 3.63 
 3.81 
 
 6.36 
 6.50 
 
 8.55 
 8.37 
 
 1.41 
 1.45 
 
 8.59 
 8.61 
 
 
 
 
 
 ___ 
 
 z 
 
 100.00 
 100.43 
 
 Theory 
 
 46.32 
 45.13 
 
 29.53 
 29.83 
 
 
 
 - 
 
 0.13 
 
 19.59 
 18.98 
 
 1.14 
 1.40 
 
 2.99 
 2.73 
 
 0.43 
 0.41 
 
 
 
 
 
 
 
 
 
 100.00 
 98.61 
 
 Theory 
 CV 
 
 45.09 
 44.40 
 
 26.35 
 25.52 
 
 3.76 
 3.79 
 
 
 
 0.94 
 1.01 
 
 20.39 
 20.18 
 
 0.51 
 
 2.18 
 2.09 
 
 1.29 
 1.24 
 
 - 
 
 
 
 
 
 
 
 100.00 
 
 98.74 
 
380 
 
 THE SCAPOLITE GROUP 
 
 J. Scapolites of the type 
 R Si R Si = 6 R 2 3 18 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 40 
 
 2MO-2(6A1 2 O 3 -18S10 2 ) 
 
 2 MO = 1.5 Na 2 O 0.5 H 2 O 
 
 St. Lawrence 
 
 Rammels- 
 
 
 6H 2 
 
 
 Co., N.S. 
 
 berg 
 
 41 
 
 3 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 3 MO = 1 CaO 1 Na 2 O 0.5 MgO 
 
 Bolton, 
 
 Hermann 
 
 
 2H 2 O 
 
 0.5 K 2 O 
 
 Mass. 
 
 
 42 
 
 14 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 1H 2 
 
 14 MO = 10 CaO 2.5 Na 2 O 0.5 FeO 
 0.5 K 2 O 0.5 MgO 
 
 Boxborough 
 
 Becke 
 
 43 
 
 14MO-2(6Al 2 O 3 -18SiO 2 ) 
 
 14 MO -8 CaO 3.5 MgO 2 Na 2 O 
 
 Glaukolite 
 
 Berge- 
 
 
 4H 2 
 
 0.5 K 2 O 
 
 Baikalsee 
 
 mann 
 
 44 
 
 14MO-2(6Al 2 3 -18Si0 2 ) 
 
 14 MO = 8.5 CaO 2.5 MgO 2 Na 2 O 
 
 tt 
 
 Giwar- 
 
 
 4H 2 
 
 0.5 MnO 0.5 K 2 O 
 
 
 towsky 
 
 45 
 
 15MO-2(6Al 2 3 -18SiO 2 ) 
 
 15MO = llCaO-4Na 2 
 
 Obernzell 
 
 Fuchs 
 
 
 2H 2 
 
 
 bei Passau 
 
 
 46 
 
 17 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 17 MO = 12 CaO 3 Na 2 O 1.5 MgO 
 
 Bolton, 
 
 Wolff 
 
 
 2H 2 O 
 
 0.5 K 2 O 
 
 Mass. 
 
 
 47 
 
 18MO-2(6R 2 3 -18Si0 2 ) 
 
 18MO = 13.5CaO-3.5Na 2 O- 1 MgO 
 
 Hirvensalo 
 
 M 
 
 
 2H 2 
 
 12 R 2 3 =11.5Al 2 3 -0.5Fe 2 O 3 
 
 
 
 48 
 
 18MO-2(6Al 2 3 -18SiO 2 ) 
 
 18 MO = 14 CaO 3.5 Na 2 O 0.5 MgO 
 
 Drothem 
 
 Berg 
 
 
 4H 2 
 
 
 
 
 49 
 
 18 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 18 MO = 15.5 CaO 2.5 Na 2 O 
 
 Bolton, 
 
 Thomson 
 
 
 13H 2 
 
 
 Mass. 
 
 
 50 
 
 19 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 19 MO = 14.5 CaO 2.5 Na 2 O 
 
 Bucks 
 
 Leeds 
 
 
 4H 2 
 
 - 1.5 MgO 0.5 K 2 
 
 Co., Pa. 
 
 
 51 
 
 19 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 19 M0 = ll CaO 4 MgO 2 Na 2 O 
 
 Perth, 
 
 Hunt 
 
 
 7H 2 
 
 2K 2 
 
 Canada 
 
 
 52 
 
 20MO-2(6R 2 O 3 -18SiO 2 ) 
 
 20MO = 14CaO-6Na 2 
 
 Bolton, 
 
 Wurtz 
 
 
 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 Mass. 
 
 
 53 
 
 20MO-2(6R 2 O 3 -18SiO 2 ) 
 
 20 MO = 14 CaO 5.5 Na 2 O 0.5 K 2 O 
 
 Arendal 
 
 G. v. Rath 
 
 
 1H 2 O 
 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 54 
 
 22MO-2(6R 2 O 3 -18SiO 2 ) 
 
 22 MO = 18 CaO 2 Na 2 O 1.5 MgO 
 
 Bolton, 
 
 M 
 
 
 2H 2 
 
 0.5 K 2 O ; 12 R 2 O 3 =11A1 2 O 3 - 1 Fe 2 O 3 
 
 Mass. 
 
 
 55 
 
 HMO-2(6R 2 3 -18Si0 2 ) 
 
 1 1 MO = 10 CaO 0.5 MgO 0.5 K 2 O 
 
 Hesselkulla 
 
 Hermann 
 
 
 3 Na 2 C0 3 
 
 12 R,O, = 11.25 A1 2 O 3 0.75 Fe 2 O 3 
 
 
 
 56 
 
 12MO-2(6Al 2 3 -18SiO 2 ) 
 
 12 MO = 12 CaO 
 
 Obernzell 
 
 Fuchs 
 
 
 -6 Had 
 
 
 bei Passau 
 
 
 57 
 
 15 MO 2(6 A1 2 O 3 18 SiO 2 ) 
 
 15 MO = 12 CaO 2.5 Na 2 O - 0.5 K 2 O 
 
 Ersby 
 
 Lemberg 
 
 
 2H 2 O-lNaCl 
 
 
 
 
THE SCAPOLITE GROUP 
 
 381 
 
 or the general formulse 
 
 (a) m MO 2 (6 R 2 3 18 Si0 2 ) n H 2 0, 
 
 (b) m MO 2 (6 R 2 3 18 Si0 2 ) p Na 2 C0 3 (or p 
 
 Nad). 
 
 
 Si0 2 
 
 A1 Z 8 
 
 Fe 2 0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K 2 
 
 Na 2 
 
 H 2 
 
 NaCl 
 
 CaC0 8 
 
 CO, 
 
 Cl 
 
 Total 
 
 Theory 
 XCIII 
 
 60.10 
 59.29 
 
 34.05 
 
 34.78 
 
 z 
 
 
 
 0.07 
 
 0.11 
 
 
 
 2.59 
 2.31 
 
 3.26 
 3.31 
 
 
 
 Z 
 
 - 
 
 0.20 
 
 100.00 
 100.07 
 
 Theory 
 
 cm 
 
 52.56 
 51.68 
 
 29.79 
 29.30 
 
 z 
 
 
 
 0.49 
 0.78 
 
 13.63 
 13.51 
 
 1.14 
 0.94 
 
 1.61 
 
 1.46 
 
 0.88 
 0.82 
 
 0.15MnO 
 
 z 
 
 - 
 
 z 
 
 100.00 
 99.80 
 
 Theory 
 CVIII 
 
 51.19 
 
 50.53 
 
 29.00 
 29.31 
 
 
 
 0.85 
 0.49 
 
 0.47 
 0.46 
 
 13.27 
 13.37 
 
 1.11 
 1.23 
 
 3.68 
 3.91 
 
 0.43 
 0.54 
 
 ~ 
 
 
 
 - 
 
 0.21 
 
 100.00 
 100.05 
 
 Theory 
 LXXII 
 
 51.25 
 50.58 
 
 29.03 
 27.60 
 
 0.86Mn 2 O 3 
 
 0.10 
 
 3.32 
 3.72 
 
 10.63 
 10.27 
 
 1.11 
 1.27 
 
 2.94 
 2.97 
 
 1.72 
 1.73 
 
 
 
 
 
 
 
 
 
 100.00 
 99.11 
 
 Theory 
 LXXIII 
 
 50.96 
 50.49 
 
 28.88 
 28.12 
 
 0.40 FeO 
 
 0.84MnO 
 0.60 MnO 
 
 2.36 
 2.68 
 
 11.23 
 11.31 
 
 1.10 
 1.00 
 
 2.93 
 3.10 
 
 1.70 
 1.79 
 
 
 
 
 
 
 
 
 
 100.00 
 99.49 
 
 Theory 
 II 
 
 50.42 
 49.30 
 
 28.57 
 27.90 
 
 z 
 
 z 
 
 z 
 
 14.38 
 14.42 
 
 ~ 
 
 5.79 
 5.46 
 
 0.84 
 0.90 
 
 
 
 - 
 
 z 
 
 z 
 
 100.00 
 97.98 
 
 Theory 
 C 
 
 49.26 
 48.79 
 
 27.92 
 28.16 
 
 0.32 
 
 ~ 
 
 1.37 
 1.29 
 
 15.33 
 15.02 
 
 1.07 
 0.54 
 
 4.24 
 4.52 
 
 0.81 
 0.74 
 
 - 
 
 z 
 
 z 
 
 
 
 100.00 
 99.38 
 
 Theory 
 LII 
 
 48.41 
 48.15 
 
 26.29 
 25.38 
 
 1.79 
 1.48 
 
 z 
 
 0.90 
 0.84 
 
 16.94 
 16.63 
 
 0.12 
 
 4.86 
 4.91 
 
 0.81 
 0.85 
 
 - 
 
 
 
 z 
 
 z 
 
 100.00 
 98.36 
 
 Theory 
 XLVII 
 
 48.25 
 46.35 
 
 27.34 
 26.34 
 
 0.32 
 
 - 
 
 0.45 
 0.54 
 
 17.51 
 17.00 
 
 0.32 
 
 4.85 
 4.71 
 
 1.60 
 1.60 
 
 0.99 ResU 
 
 - 
 
 
 
 
 
 100.00 
 98.17 
 
 Theory 
 XCIX 
 
 46.54 
 46.30 
 
 26.37 
 
 26.48 
 
 
 
 ~ 
 
 - 
 
 18.71 
 18.64 
 
 
 
 3.34 
 
 3.64 
 
 5.04 
 5.04 
 
 ~ m 
 
 z 
 
 
 
 z 
 
 100.00 
 100.08 
 
 Theory 
 LXXXV 
 
 47.68 
 
 47.47 
 
 27.02 
 27.51 
 
 
 
 
 
 1.32 
 
 1.20 
 
 17.93 
 17.59 
 
 1.04 
 1.40 
 
 3.42 
 3.05 
 
 1.59 
 
 1.48 
 
 
 
 z 
 
 
 
 z 
 
 100.00 
 99.70 
 
 Theory 
 CX 
 
 46.97 
 46.30 
 
 26.62 
 26.20 
 
 
 
 
 
 3.48 
 3.63 
 
 13.39 
 
 12.88 
 
 4.08 
 4.30 
 
 2.70 
 2.88 
 
 2.76 
 2.80 
 
 
 
 z 
 
 
 
 
 
 100.00 
 98.99 
 
 Theory 
 CI 
 
 47.29 
 47.67 
 
 25.66 
 25.75 
 
 i.75 
 2.26 
 
 - 
 
 z 
 
 17.16 
 17.31 
 
 
 
 8.14 
 7.76 
 
 z 
 
 z 
 
 
 
 - 
 
 - 
 
 100.00 
 100.75 
 
 Theory 
 XXXII 
 
 46.93 
 
 46.82 
 
 25.48 
 26.12 
 
 1.74 
 1.39 
 
 
 
 0.26 
 
 17.03 
 17.23 
 
 1.02 
 0.97 
 
 7.41 
 
 6.88 
 
 0.39 
 0.33 
 
 z 
 
 z 
 
 - 
 
 z 
 
 100.00 
 100.00 
 
 Theory 
 CIV 
 
 45.79 
 45.57 
 
 23.79 
 23.65 
 
 3.39 
 3.38 
 
 
 
 1.27 
 1.23 
 
 21.37 
 
 20.81 
 
 1.00 
 0.63 
 
 2.63 
 2.46 
 
 0.76 
 
 0.78 
 
 - 
 
 - 
 
 - 
 
 z 
 
 100.00 
 98.51 
 
 Theory 
 L 
 
 49.40 
 49.49 
 
 26.25 
 26.06 
 
 2.74 
 
 2.65 
 
 0.25 MnO 
 
 0.46 
 0.36 
 
 12.81 
 12.89 
 
 1.07 
 
 0.80 
 
 4.25 
 4.50 
 
 z 
 
 - 
 
 - 
 
 3.02 
 3.00 
 
 
 
 100.00 
 100.00 
 
 Theory 
 III 
 
 49.01 
 
 49.42 
 
 27.78 
 27.50 
 
 
 z 
 
 z 
 
 15.25 
 15.25 
 
 
 
 
 
 
 
 7.96 
 
 7.83 
 
 - 
 
 
 
 
 
 100.00 
 100.00 
 
 Theory 
 LXIII 
 
 49.62 
 49.30 
 
 28.12 
 26.99 
 
 
 
 
 
 
 15.44 
 15.59 
 
 1.08 
 0.69 
 
 3.56 
 
 3.48 
 
 0.83 
 0.66 
 
 1.35 
 1.35 
 
 z 
 
 
 
 - 
 
 100.00 
 98.06 
 
382 
 
 THE SCAPOLITE GROUP 
 
 K. Scapolites of the type 
 Si R Si Si R Si = 6 R 2 3 22 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 58 
 
 14MO-2(6R 2 3 -22SiO 2 ) 
 
 14 MO = 7.5 CaO 4 K 2 O 2.5 MgO 
 
 Bolton, Mass. 
 
 G. v. Rath 
 
 
 12 H 2 
 
 12 R 2 O 3 =11.5 A1 2 O 3 - 0.5 Fe 2 O 3 
 
 
 
 59 
 
 18MO-2(6Al 2 O 3 -22SiO a ) 
 
 18 M0 = 9 CaO 7 Na 2 O - 1 K 2 O 
 
 St. Lawrence 
 
 
 
 4H a O 
 
 IMgO 
 
 Co., N.S. 
 
 
 60 
 
 20 MO 2 (6 A1 2 O 3 22 SiO 2 ) 
 
 20 MO = 10 Na 2 O 9 CaO 1 K 2 O 
 
 Monzoni 
 
 Kiepen- 
 
 
 
 
 
 heuer 
 
 61 
 
 20 MO 2 (6 A1 2 O 3 22 SiO 2 ) 
 
 20 MO = 7.5 Na 2 O 7 CaO 3.5 MgO 
 
 Dipyre,Breno 
 
 Salomon 
 
 
 4H 2 O 
 
 1 K 2 1 H 2 O 
 
 
 
 62 
 
 14 MO 2 (6 A1 2 O 3 22 SiO 2 ) 
 2NaCl 
 
 14 MO = 10 CaO 3 Na 2 O 1 K 2 O 
 
 Steinhag 
 
 Wittstein 
 
 63 
 
 14MO-2(6Al a O 3 -22SiO 2 ) 
 
 14 MO = 8.5 CaO - 0.5 K 2 O 5 Na 2 O 
 
 French Creek, 
 
 Genth 
 
 
 4H 2 O-3CaCO 3 
 
 
 Pa. 
 
 
 64 
 
 15MO-2(6Al 2 3 -22SiO 2 ) 
 2H 2 O-2NaCl 
 
 15 MO = 8.5 CaO 6.5 Na 2 O 
 
 Pargas 
 
 Rammels- 
 berg 
 
 65 
 
 15MO-2(6Al a 3 -22SiO 2 ) 
 2H 2 O-2NaCl 
 
 15 MO = 9 CaO 4 Na 2 O 2 K 2 O 
 
 " 
 
 
 
 66 
 
 15 MO.- 2 (6 A1 2 O 3 22 SiO 2 ) 
 
 15 MO = 9.5 CaO 4.5 Na 2 O 1 K 2 O 
 
 St. Lawrence 
 
 n 
 
 
 4 NaCl 
 
 
 Co., N.Y. 
 
 
 L. Scapolites of the type 
 -R-Si = 9 R 2 3 20 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 67 
 
 68 
 
 16MO-2(9Al 2 3 -20Si0 2 ) 
 18 H 2 
 
 24MO-2(9Al a O 3 -20SiO 2 ) 
 
 16 MO =9 CaO - 4 Na 2 O 1.5 MgO 
 1.5K 2 O 
 
 24 MO = 20.5 CaO - 2.5 Na 2 O 1 FeO 
 
 Saleix, Ariege 
 Vesuvius 
 
 Grandeau 
 Gmelin 
 
 69 
 
 70 
 
 26 MO 2 (9 R 2 O 3 20 SiO 2 ) 
 6H 2 O 
 
 22 MO 2 (9 A1 2 O 3 20 SiO 2 ) 
 4 CaCO 3 
 
 26 MO = 21 CaO- 5 K 2 O 
 18 R 2 3 = 15 A1 2 O 3 3 Fe 2 O 3 
 
 22 MO = 19.5 CaO - 2.5 Na a O 
 
 Bolton, Mass. 
 Vesuvius 
 
 Muir 
 Gmelin 
 
THE SCAPOLITE GROUP 
 
 383 
 
 or the general formulae 
 
 (a) m MO 2 (6 R 2 3 22 Si0 2 ) n H 2 0, 
 
 (b) m MO 2 (6 R 2 O 3 22 Si0 2 ) n H 2 p 
 
 NaCl (or p CaC0 3 ). 
 
 
 SiOj 
 
 AI,0, 
 
 Fe 2 0, 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na 2 
 
 H a O 
 
 NaCl 
 
 CaCOa 
 
 CO, | Cl | Total 
 
 Theory 
 CVIa 
 
 52.75 
 52.20 
 
 23.42 
 24.03 
 
 1.60 
 1.71 
 
 z 
 
 2.00 
 1.80 
 
 8.39 
 8.06 
 
 7.51 
 
 7.40 
 
 0.37 
 
 4.33 
 4.43 
 
 
 
 z 
 
 z 
 
 
 
 100.00 
 100.00 
 
 Theory 
 LXXXIX 
 
 52.72 
 52.25 
 
 24.44 
 23.97 
 
 Trace 
 
 ~ 
 
 0.80 
 0.78 
 
 10.06 
 9.86 
 
 1.88 
 1.73 
 
 8.67 
 8.70 
 
 1.43 
 1.20 
 
 
 
 z 
 
 
 
 
 
 100.00 
 98.49 
 
 Theory 
 VII 
 
 51.95 
 52.19 
 
 24.08 
 23.54 
 
 ~ 
 
 ~ 
 
 ~ 
 
 9.92 
 9.61 
 
 1.85 
 2.11 
 
 12.20 
 12.65 
 
 z 
 
 z 
 
 - 
 
 z 
 
 
 
 100.00 
 100.10 
 
 Theory 
 VIII 
 
 52.71 
 52.74 
 
 24.44 
 23.98 
 
 0.40 
 
 ~ 
 
 2.79 
 
 2.77 
 
 7.83 
 7.43 
 
 1.88 
 1.86 
 
 9.28 
 9.00 
 
 1.07 
 1.18 
 
 z 
 
 - 
 
 
 
 
 
 100.00 
 99.36 
 
 Theory 
 VI 
 
 54.76 
 54.87 
 
 25.39 
 25.32 
 
 z 
 
 ~ 
 
 ~ 
 
 11.62 
 11.63 
 
 1.95 
 1.50 
 
 3.86 
 3.86 
 
 z 
 
 2.42 
 2.15 
 
 - 
 
 
 
 
 
 100.00 
 99.33 
 
 Theory 
 LXXXIV 
 
 52.08 
 52.30 
 
 24.15 
 23.68 
 
 0.58 
 
 
 
 0.05 
 
 12.70 
 12.36 
 
 0.93 
 0.77 
 
 6.11 
 6.29 
 
 1.42 
 1.50 
 
 
 
 - 
 
 2.61 
 2.63 
 
 
 
 100.00 
 100.16 
 
 Theory 
 LXI 
 
 54.04 
 53.32 
 
 24.91 
 24.67 
 
 
 
 ~ 
 
 ~ 
 
 9.69 
 9.84 
 
 
 
 9.46 
 9.12 
 
 0.73 
 0.73 
 
 - 
 
 - 
 
 
 
 1.48 
 1.73 
 
 100.31* 
 99.41 
 
 Theory 
 LXII 
 
 53.43 
 53.32 
 
 24.60 
 
 24.08 
 
 - 
 
 ~ 
 
 
 
 10.13 
 9.60 
 
 3.78 
 3.93 
 
 6.23 
 6.31 
 
 0.72 
 0.71 
 
 
 
 
 
 
 
 1.43 
 1.71 
 
 100.32* 
 99.66 
 
 Theory 
 XCI 
 
 52.93 
 52.90 
 
 24.38 
 24.95 
 
 - 
 
 
 
 - 
 
 10.59 
 10.54 
 
 1.87 
 1.53 
 
 8.03 
 8.10 
 
 
 
 
 
 
 
 
 
 2.83 
 2.33 
 
 101.63* 
 100.35 
 
 or the general formulse 
 
 (a) m MO 2 (9 R 2 3 20 Si0 2 ) n H 2 0, 
 
 (b) m MO 2 (9 R 2 3 - 20 Si0 2 ) n CaCO, 
 
 
 SiO, 
 
 A1,O 3 
 
 Fe,0 s 
 
 FeO 
 
 MgO 
 
 CaO 
 
 K,0 
 
 Na,O 
 
 H,0 
 
 NaCl 
 
 CaCO, 
 
 CO, 
 
 a 
 
 Total 
 
 Theory 
 XXVII 
 
 43.54 
 44.08 
 
 33.50 
 
 32.85 
 
 z 
 
 z 
 
 1.09 
 1.18 
 
 9.14 
 9.17 
 
 2.56 
 2.68 
 
 4.49 
 4.43 
 
 5.88 
 6.20 
 
 
 
 
 
 
 
 
 
 100.00 
 100.59 
 
 Theory 
 X 
 
 42.78 
 43.80 
 
 32.72 
 32.85 
 
 z 
 
 1.28 
 1.07 
 
 z 
 
 20.46 
 20.64 
 
 
 
 2.76 
 2.57 
 
 
 
 
 
 z 
 
 
 
 z 
 
 100.00 
 100.93 
 
 Theory 
 XCVIII 
 
 38.94 
 37.81 
 
 24.83 
 25.10 
 
 7.78 
 7.89 
 
 
 
 z 
 
 19.07 
 18.34 
 
 7.63 
 7.30 
 
 
 1.75 
 1.50 
 
 z 
 
 z 
 
 z 
 
 z 
 
 100.00 
 97.94 
 
 Theory 
 IX 
 
 40.80 
 40.80 
 
 31.21 
 30.60 
 
 
 
 - 
 
 
 
 22.37 
 22.10 
 
 z 
 
 2.63 
 2.40 
 
 z 
 
 - 
 
 
 
 2.99 
 3.10 
 
 z 
 
 100.00 
 100.00 
 
 * The excess above 100.00 in the Theory-Total in Nos. 64, 65 and 66 is due to the oxygen - 
 equivalent of the chlorine being included in the figures in the Na 2 column. A. B. S. 
 
384 
 
 THE ORTHOCHLORITE GROUP 
 
 The 
 
 The following analyses of the minerals 
 
 A. Si R Si =3 R 2 3 10 SiO 
 
 B. Si R Si 
 
 ^x sl 
 
 C. Rf-Si 
 
 = 3 R 2 3 12 SiO 
 
 2> 
 
 2> 
 
 3 R 2 3 15 Si0 2 , 
 
 D. 
 
 Ni 
 
 E. R - Si 
 
 F. Si-R 
 
 R 
 R 
 
 = 3 R 2 3 18 Si0 25 
 
 = 5 R 2 3 6 Si0 2 , 
 Si = 5 R 2 3 12 Si0 2 , 
 
 A. Orthochlorites of the type 
 Si R Si = 3 R 2 3 10 Si0 2 
 
 
 
 
 Source 
 
 22 MO 2 (3 A1 2 3 10 SiO 2 ) 
 16 H 2 
 
 31MO-2(3R 2 3 -10Si0 2 ) 
 26 H 2 O 
 
 32 MO 2 (3 R 2 O 3 10 SiO 2 ) 
 24H 2 
 
 34 MO 2 (3 A1 2 O 3 10 SiO 2 ) 
 26 H 2 
 
 43MO-2(3R 2 O 3 -10Si0 2 ) 
 8H 2 O 
 
 22 MO = 12.5 FeO 7 MgO 1 CaO 
 0.5 MnO 0.5 K 2 O 0.5 Na 2 O 
 
 31 MO = 27 MgO 3.5 FeO 0.5 CaO ; 
 6R 2 3 = 5Al 2 3 -lFe 2 3 
 
 32 MO = 30 MgO -2 FeO; 
 6 R 2 O 3 =5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 34 MO = 31 MgO -3 FeO 
 
 43 MO = 40.5 MgO 2.5 FeO ; 
 6 R 2 O 3 =5 A1 2 O 3 1 Cr 2 O 3 
 
 Ortho- 
 chlorite 
 
 Delessite 
 
 Orthochlorite 
 (Clinochlorite) 
 
 Orthochlorite 
 
 M 
 
 Bishops Hill 
 
 St. Cyrus, 
 Scotland 
 
 Kupferberg 
 Zillertal 
 
 Webster, 
 
 N.C. 
 
 B. Orthochlorites of the types 
 Si R Si = 3 R 2 3 12 Si0 2 
 
 
 
 
 
 Source 
 
 6 
 
 25 MO- 
 
 2 (3 R 2 3 - 
 
 12 Si0 2 ) 
 
 25 MO = 25 MgO 
 
 Lennilite 
 
 Petham, 
 
 
 - * 
 
 22H 2 O 
 
 
 6R 2 3 = 5Al 2 3 -lFe 2 O 3 
 
 
 Mass. 
 
 7 
 
 33 MO- 
 
 2 (3 R 2 3 
 
 12Si0 2 ) 
 
 33 MO = 19MgO-6FeO-7CaO-lK 2 O 
 
 Orthochlorite 
 
 Corry- 
 
 
 
 
 28H 2 
 
 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 (Pennine) 
 
 charmaig 
 
 8 
 
 33 MO- 
 
 2 (3 R 2 O 3 
 
 12 Si0 2 ) 
 
 33 M0 = 31 MgO 1 FeO 1 CaO 
 
 Orthochlorite 
 
 Bissersk 
 
 
 
 28H 2 O 
 
 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Cr 2 O 3 
 
 
 
 9 
 
 36 MO- 
 
 2 (3 A1 2 3 - 
 
 12 SiO 2 ) 
 
 36 MO = 31.5 MgO 1.5 FeO-1.5 K 2 O 
 
 w 
 
 Tilly Foster 
 
 
 
 
 24H 2 
 
 
 !Na 2 O-0.5Li 2 O 
 
 
 Mine, N.Y. 
 
 10 
 
 38 MO 
 
 2 (3 R 2 3 
 
 12 SiO 2 ) 
 
 38 MO = 37 MgO -1 FeO 
 
 > 
 
 Itkul Sea 
 
 
 
 
 28H 2 
 
 
 6 R 2 O 3 = 4.5 A1 2 O 3 1.5 Cr 2 O 3 
 
 
 
 11 
 
 38 MO- 
 
 2 (3 R 2 O 3 
 
 12 Si0 2 ) 
 
 38 MO = 38 MgO 
 
 M 
 
 Calumet 
 
 
 
 38H 2 O 
 
 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 Falls, Can. 
 
 12 
 
 39 MO- 
 
 2 (3 R 2 3 
 
 12 SiO 2 ) 
 
 39 MO = 39 MgO 
 
 > 
 
 Texas, Pa. 
 
 
 . 
 
 30H 2 
 
 
 6 R 2 O 3 =4.5 A1 2 O 3 -0.5 Fe 2 O 3 - 1 Cr 2 O 3 
 
 
 
THE ORTHOCHLORITE GROUP 
 
 Orthochlorite Group 
 
 of the orthochlorite group conform to the following types : 
 
 385 
 
 G. Si R Si R Si 
 
 H. Si R Si 
 J. R-Si-R 
 
 JA.. fel * -LV * _tv 
 
 Si R Si = 
 
 m 
 
 L. Si R R Si 
 M. Si R Si R Si 
 
 N. Si-R-iSi-R-Si = 
 0. R Si R S A i R 
 P. R S A i R Si - R 
 
 5R 2 3 
 
 18 Si0 2 , 
 
 5R 2 3 
 
 22Si0 2 , 
 
 6R 2 3 
 
 6Si0 2 , 
 
 6R 2 3 
 
 10 Si0 2 , 
 
 6R 2 3 
 
 12 Si0 2 , 
 
 6R 2 3 
 
 16 SiO a , 
 
 6R 2 3 
 
 18 Si0 2 , 
 
 8R 2 3 
 
 12 SiO 2 , 
 
 9 R 2 a 
 
 12 SiO* 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 10 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 8 
 
 Fe 2 3 
 
 Cr z 3 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na 2 O 
 
 H 2 
 
 Total 
 
 Heddle 
 
 Theory 
 LXIX 
 
 34.89 
 35.41 
 
 17.79 
 
 18.08 
 
 0.48 
 
 z 
 
 26.16 
 26.47 
 
 1.03 
 
 0.61 
 
 1.34 
 1.01 
 
 8.14 
 8.77 
 
 1.37 
 0.98 
 
 0.90 
 0.52 
 
 8.38 
 8.03 
 
 100.00 
 100.36 
 
 
 
 Theory 
 V 
 
 32.45 
 32.69 
 
 13.79 
 13.44 
 
 4.33 
 4.40 
 
 
 
 6.81 
 6.62 
 
 z 
 
 0.76 
 0.86 
 
 29.20 
 
 28.77 
 
 z 
 
 
 
 12.66 
 13.25 
 
 100.00 
 100.03 
 
 Kobell 
 
 Theory 
 III 
 
 33.17 
 33.49 
 
 15.51 
 15.37 
 
 2.23 
 2.30 
 
 0.55 
 
 3.98 
 4.25 
 
 
 
 
 
 33.17 
 32.94 
 
 
 
 
 
 11.94 
 11.50 
 
 100.00 
 100.40 
 
 Briiel 
 
 Theory 
 XXIII 
 
 32.12 
 31.47 
 
 16.38 
 16.67 
 
 ~ 
 
 
 
 5.78 
 5.97 
 
 0.11 
 
 
 
 33.19 
 32.56 
 
 
 
 
 
 12.53 
 12.43 
 
 100.00 
 
 99.21 
 
 Genth 
 
 Theory 
 CLX 
 
 31.53 
 31.45 
 
 13.40 
 13.08 
 
 
 
 3.99 
 4.16 
 
 4.74 
 
 4.88 
 
 
 
 0.17 
 
 42.56 
 43.10 
 
 0.06 
 
 0.16 NiO 
 
 3.78 
 3.29 
 
 100.00 
 100.35 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 12 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO a 
 
 A1 2 3 
 
 Fe 2 s 
 
 Cr 2 8 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 NajO 
 
 H 2 
 
 Total 
 
 Gooch 
 
 Theory 
 III 
 
 41.07 
 41.27 
 
 14.55 
 15.19 
 
 4.56 
 4.14 
 
 
 
 
 
 
 
 
 
 28.53 
 
 28.25 
 
 
 
 
 
 11.09 
 11.32 
 
 100.00 
 100.17 
 
 Heddle 
 
 Theory 
 LXII 
 
 33.78 
 34.31 
 
 13.16 
 13.64 
 
 1.88 
 0.36 
 
 z 
 
 10.13 
 10.31 
 
 0.23 
 
 9.19 
 8.97 
 
 17.83 
 18.14 
 
 2.20 
 1.36 
 
 0.13 
 
 11.83 
 12.41 
 
 100.00 
 99.76 
 
 Hartwall 
 
 Theory 
 CXI 
 
 36.83 
 37.00 
 
 14.36 
 14.20 
 
 
 
 1.94 
 1.00 
 
 1.84 
 1.50 
 
 
 1.43 
 1.50 
 
 30.69 
 31.50 
 
 z 
 
 
 
 12.91 
 13.00 
 
 100.00 
 99.70 
 
 Schlaepfer 
 
 Theory 
 CXXVII 
 
 35.38 
 36.18 
 
 15.04 
 14.34 
 
 0.28 
 
 z 
 
 2.65 
 
 2.88 
 
 
 0.38 Li 2 O 
 0.42 Li 2 
 
 30.95 
 31.26 
 
 3.46 
 3.09 
 
 1.52 
 1.99 
 
 10.62 
 10.31 
 
 100.00 
 100.75 
 
 Hermann 
 
 Theory 
 CXIII 
 
 34.42 
 34.64 
 
 10.97 
 10.50 
 
 
 
 5.46 
 5.50 
 
 1.72 
 2.00 
 
 ~ 
 
 
 
 35.38 
 35.47 
 
 
 
 
 
 12,05 
 12.03 
 
 100.00 
 100.14 
 
 Hunt 
 
 Theory 
 CXVIII 
 
 33.61 
 33.28 
 
 13.09 
 13.30 
 
 1.87 
 1.92 
 
 
 
 
 
 - 
 
 - 
 
 35.47 
 35.50 
 
 - 
 
 
 
 15.96 
 16.00 
 
 100.00 
 100.00 
 
 Smith und 
 Brush 
 
 Theory 
 CXLIV 
 
 34.03 
 33.26 
 
 10.84 
 10.69 
 
 1.89 
 1.96 
 
 3.60 
 
 4.78 
 
 
 
 
 
 
 
 36.87 
 35.93 
 
 - 
 
 0.35 
 
 12.77 
 12.64 
 
 100.00 
 99.61 
 
 2 c 
 
386 
 
 THE ORTHOCHLORITE GROUP 
 
 
 
 
 
 Source 
 
 13 
 
 39 MO 2 (3 R 2 O 3 
 30 H 2 O 
 
 12Si0 2 ) 
 
 39 MO = 39 MgO 
 6 R 2 O 3 = 4.5 A1 2 O 3 -0.5 Fe 2 O 3 - !Cr 2 O 3 
 
 Orthochlorite 
 
 Texas, Pa. 
 
 14 
 
 39 MO 2 (3 R 2 O 3 
 32H 2 
 
 12SiO a ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 O 3 =5.5 A1 2 O 3 -0.5 Fe 2 O 3 
 
 
 
 Zillertal 
 
 15 
 
 39 MO 2 (3 R 2 O 3 
 - 32 H 2 O 
 
 -12Si0 2 ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe,O 3 
 
 " 
 
 
 
 16 
 
 39 MO 2 (3 R 2 O 3 
 32 H 2 O 
 
 12 SiO 2 ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 NaBfeld 
 
 17 
 
 39 MO 2 (3 R 2 3 
 32 H 2 
 
 12 SiO 2 ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 99 
 
 Zermatt 
 
 18 
 
 39MO-2(3R 2 3 
 32 H 2 
 
 12Si0 2 ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 O 3 =5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 99 
 
 ' 
 
 19 
 
 39 MO 2 (3 R 2 3 
 32 H 2 
 
 12Si0 2 ) 
 
 39 MO = 37 MgO -2 FeO 
 6 R 2 3 =5.5 A1 2 3 0.5 Fe 2 O 3 
 
 99 
 
 
 
 20 
 
 40 MO 2 (3 A1 2 O 3 
 30 H 2 O 
 
 12 SiO 2 ) 
 
 40 MO = 37 MgO -3 FeO 
 
 
 
 Binnenthal 
 
 21 
 
 40 MO - 2 (3 A1 2 O 3 
 30 H 2 O 
 
 12SiO 2 ) 
 
 99 
 
 99 
 
 Zermatt 
 
 22 
 
 40 MO 2 (3 A1 2 3 
 30 H 2 
 
 12 SiO 2 ) 
 
 99 99 
 
 99 
 
 
 
 23 
 
 40MO-2(3A1 2 O 3 
 30 H 2 
 
 12 SiO 2 ) 
 
 99 99 99 
 
 99 
 
 
 
 24 
 
 40 MO 2 (3 R 2 O 3 
 30H 2 
 
 12 SiO a ) 
 
 40 MO = 38.5 MgO 1.5 MnO 
 6 R 2 O 3 = 5.5 A1 2 3 0.5 Fe 2 O 3 
 
 9* 
 
 Pojsberg 
 
 25 
 
 43 MO 2 (3 A1 2 O 3 
 30 H 2 O 
 
 12Si0 2 ) 
 
 43 MO = 25.5 MgO 17.5 FeO 
 
 Diabantite 
 
 Landes- 
 freude 
 
 26 
 
 45 MO 2 (3 R 2 O 3 
 30H 2 O 
 
 12SiO 2 ) 
 
 45 MO = 36MgO-7FeO-l MnO-lNa 2 O 
 6 R 2 O 3 = 5 A1 2 O 3 - 1 Fe 2 O 3 
 
 Orthochlorite 
 
 Sealpay 
 
 C. Orthochlorites of the type 
 
 /Si 
 
 R^-Si = 3 R 2 3 15 Si0 2 
 
 
 
 
 
 Source 
 
 27 
 
 32 MO 2 (3 A1 2 O 3 15 SiO 2 ) 42 H 2 O 
 
 32MO = 29MgO-3FeO 
 
 Orthochlorite 
 
 North 
 
 
 
 
 
 Burgess, Can. 
 
 28 
 
 32 MO 2 (3 R 2 O 3 15 SiO 2 ) 54 H 2 O 
 
 32 MO = 32 MgO 
 
 99 
 
 Culsagee 
 
 
 
 6R 2 O 3 = 5Al 2 O 3 -lFe 2 O 3 
 
 
 Mine, N.C. 
 
 29 
 
 99 99 99 99 
 
 32 MO = 32 MgO 
 
 99 
 
 99 
 
 
 
 6R 2 3 =5Al 2 3 -lFe 2 3 
 
 
 
 30 
 
 39 MO 2 (3 A1 2 3 15 SiO 2 ) 20 H 2 O 
 
 39 MO = 32 MgO -7 FeO 
 
 99 
 
 Traversella 
 
 31 
 
 48 MO 2 (3 A1 2 3 15 SiO 2 ) 38 H 2 O 
 
 48 MO = 44 MgO 
 
 99 
 
 Beautyhill 
 
 
 
 2 FeO 1 CaO - 1 MnO 
 
 
 
 32 
 
 53 MO 2 (3 A1 2 3 15 SiO 2 ) 36 H 2 O 
 
 53 MO =47 MgO -6 FeO 
 
 99 
 
 Zermatt 
 
 33 
 
 
 
 99 99 
 
 99 
 
 ' 
 
THE ORTHOCHLORITE GROUP 
 
 387 
 
 Analyst 
 
 
 SiO, 
 
 A1 2 0, 
 
 Fe a O, 
 
 Cr,O s 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Smith and 
 
 Theory 
 
 34.03 
 
 10.84 
 
 1.89 
 
 3.60 
 
 
 
 
 
 
 
 36.87 
 
 
 
 
 
 12.77 
 
 100.00 
 
 Brush 
 
 CXLV 
 
 33.30 
 
 10.50 
 
 1.60 
 
 4.67 
 
 
 
 
 
 
 
 36.08 
 
 0.35 Alk 
 
 
 
 13.25 
 
 99.75 
 
 Rumpf 
 
 Theory 
 
 33.60 
 
 13.10 
 
 1.83 
 
 
 
 3.36 
 
 
 
 
 
 34.57 
 
 
 
 
 
 13.48 
 
 100.00 
 
 
 XXIV 
 
 34.24 
 
 12.64 
 
 1.64 
 
 
 
 3.35 
 
 
 
 0.30 
 
 34.86 
 
 
 
 
 
 14.44 
 
 101.15 
 
 Ludwig 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XXV 
 
 33.83 
 
 12.95 
 
 2.25 
 
 
 
 3.02 
 
 
 
 
 
 34.94 
 
 
 
 
 
 13.11 
 
 100.10 
 
 Telek 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XXI 
 
 33.44 
 
 13.72 
 
 3.40 
 
 
 
 3.26 
 
 
 
 
 
 32.99 
 
 
 
 
 
 12.71 
 
 99.52 
 
 Schlaepfer 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLVII 
 
 34.06 
 
 11.75 
 
 1.92 
 
 0.69 
 
 2.78 
 
 
 
 
 
 33.90 
 
 0.39 
 
 2.45 
 
 13.08 
 
 101.02 
 
 v. Fellenberg 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLIV 
 
 33.12 
 
 13.25 
 
 1.52 
 
 0.60 
 
 4.69 
 
 
 
 
 
 34.04 
 
 
 
 
 
 12.87 
 
 100.09 
 
 v. Hamm 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLVI 
 
 33.71 
 
 12.55 
 
 2.74 
 
 
 
 3.40 
 
 
 
 0.66 
 
 34.70 
 
 
 
 
 
 12.27 
 
 100.03 
 
 Marignac 
 
 Theory 
 
 33.58 
 
 14.27 
 
 
 
 
 
 5.04 
 
 
 
 
 
 34.52 
 
 
 
 
 
 12.59 
 
 100.00 
 
 
 XLVIII 
 
 33.95 
 
 13.46 
 
 
 0.24 
 
 6.12 
 
 
 
 
 
 33.71 
 
 
 
 
 
 12.52 
 
 100.00 
 
 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XXXVIII 
 
 33.36 
 
 13.24 
 
 
 
 0.20 
 
 5.93 
 
 
 
 
 
 34.21 
 
 
 
 
 
 12.80 
 
 99.74 
 
 
 
 Theory 
 
 33.58 
 
 14.27 
 
 
 
 
 
 5.04 
 
 
 
 
 
 34.52 
 
 
 
 
 
 12.59 
 
 100.00 
 
 
 XXXIX 
 
 33.40 
 
 13.41 
 
 
 
 0.15 
 
 5.73 
 
 
 
 
 
 34.57 
 
 
 
 
 
 12.74 
 
 100.00 
 
 Wartha 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLIII 
 
 32.51 
 
 14.55 
 
 
 
 
 
 4.96 
 
 
 
 
 
 34.01 
 
 
 
 
 
 14.07 
 
 100.10 
 
 Hamberg 
 
 Theory 
 
 33.73 
 
 13.14 
 
 1.87 
 
 
 
 2.53 
 
 __ 
 
 
 
 36.08 
 
 
 
 
 
 12.65 
 
 100.00 
 
 
 LXXXVIII 
 
 33.71 
 
 13.80 
 
 1.64 
 
 
 
 2.28 
 
 
 
 
 
 35.88 
 
 
 
 
 
 13.11 
 
 100.75 
 
 Liebe 
 
 Theory 
 
 29.56 
 
 12.57 
 
 
 
 
 
 25.86 
 
 
 
 
 
 20.94 
 
 
 
 
 
 11.08 
 
 100.00 
 
 
 II 
 
 29.37 
 
 12.00 
 
 
 
 
 
 25.63 
 
 
 
 0.33 
 
 21.01 
 
 
 
 
 
 11.27 
 
 99.28 
 
 Heddle 
 
 Theory 
 
 30.40 
 
 10.77 
 
 3.38 
 
 
 
 10.60 
 
 1.50 
 
 
 
 30.40 
 
 
 
 1.52 
 
 11.43 
 
 100.00 
 
 
 LXI 
 
 30.41 
 
 11.58 
 
 2.34 
 
 
 
 10.71 
 
 1.19 
 
 
 
 30.63 
 
 0.01 
 
 1.31 
 
 11.74 
 
 99.92 
 
 or the general formula 
 
 m MO 2 (3 R 2 3 15 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO, 
 
 Al,0 3 
 
 Fe 2 0, 
 
 Cr z 3 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,O 
 
 Na z O 
 
 H a O 
 
 Total 
 
 Hunt 
 
 Theory 
 
 39.61 
 
 13.47 
 
 
 
 
 
 4.75 
 
 25.53 
 
 
 
 
 
 
 
 
 
 16.64 
 
 100.00 
 
 
 cxx 
 
 39.30 
 
 14.25 
 
 
 
 
 
 4.41 
 
 25.73 
 
 
 
 
 
 
 
 
 
 16.93 
 
 100.62 
 
 Chatard 
 
 Theory 
 
 38.12 
 
 10.80 
 
 3.38 
 
 
 
 
 
 
 
 
 
 27.12 
 
 
 
 
 
 20.58 
 
 100.00 
 
 
 CLVIII 
 
 38.29 
 
 11.41 
 
 1.95 
 
 
 
 0.32 
 
 0.25(Ni, Cop 
 
 
 
 26.40 
 
 
 
 
 
 21.25 
 
 99.87 
 
 Clarke & 
 
 Theory 
 
 38.12 
 
 10.80 
 
 3.38 
 
 
 
 
 
 
 
 
 
 27.12 
 
 
 
 
 
 20.58 
 
 100.00 
 
 Schneider 
 
 CLIX 
 
 38.13 
 
 11.22 
 
 2.28 
 
 
 
 0.18 
 
 0.48 NiO 
 
 
 
 27.39 
 
 
 
 
 
 20.47 
 
 100.15 
 
 Marignac 
 
 Theory 
 
 39.51 
 
 13.44 
 
 
 
 
 
 11.06 
 
 
 
 
 
 28.09 
 
 
 
 
 
 7.90 
 
 100.00 
 
 
 LIV 
 
 39.81 
 
 12.56 
 
 
 
 
 
 11.10 
 
 
 
 
 
 28.41 
 
 
 
 
 
 7.79 
 
 99.67 
 
 Heddle 
 
 Theory 
 
 35.11 
 
 11.94 
 
 
 
 
 
 2.81 
 
 1.38 
 
 1.09 
 
 34.33 
 
 
 
 
 
 13.34 
 
 100.00 
 
 
 LXV 
 
 34.73 
 
 12.44 
 
 
 
 
 
 2.68 
 
 1.17 
 
 1.60 
 
 34.10 
 
 
 
 
 
 13.10 
 
 99.82 
 
 Max 
 
 Theory 
 
 33.51 
 
 11.39 
 
 
 
 
 
 8.01 
 
 
 
 
 
 35.00 
 
 
 
 
 
 12.09 
 
 100.00 
 
 Donnell 
 
 XL 
 
 33.64 
 
 10.64 
 
 
 
 
 
 8.83 
 
 
 
 
 
 34.95 
 
 
 
 
 
 12.40 
 
 100.46 
 
 Merz 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 XLI 
 
 33.26 
 
 11.69 
 
 
 
 
 
 7.20 
 
 
 
 
 
 35.18 
 
 
 
 
 
 12.18 
 
 99.51 
 
388 
 
 THE ORTHOCHLORITE GROUP 
 
 D. Orthochlorites of the type 
 
 Rr-S A i = 3 R 2 3 18 Si0 2 
 X Si 
 
 
 
 
 
 Source 
 
 34 
 
 46 MO 
 
 2(3A1 2 O 3 
 
 18SiO 2 )- 
 
 22H 2 O 
 
 46 MO =39 MgO -7 FeO 
 
 Orthochlorite 
 
 Traversella 
 
 35 
 
 36 
 
 48 MO 
 50 MO 
 
 2(3A1 2 3 
 2(3A1 2 3 
 
 18 SiO 2 ) - 
 18S10,)- 
 
 24H 2 O 
 26H 2 O 
 
 48MO=35MgO-6FeO-3CaO 
 3 Na 2 O 1 K 2 O 
 
 50MO=40MgO-10FeO 
 
 
 
 Hillswick 
 Traversella 
 
 37 
 
 38 
 
 50 MO 
 59 MO 
 
 2(3A1 2 3 
 2(3A1 2 3 
 
 18SiO 2 )- 
 18 SiO 2 ) 
 
 46H 2 
 64H 2 O 
 
 50 MO = 42 MgO -8 FeO 
 59 MO = 32.5 MgO-26.5FeO 
 
 > 
 Diabantite 
 
 North Elms- 
 ley, Can. 
 
 Holletal 
 
 39 
 
 63 MO 
 
 2(3A1 2 3 
 
 18 SiO 2 ) 
 
 44H 2 O 
 
 63 MO = 53 MgO -10 FeO 
 
 Orthochlorite 
 
 Zermatt 
 
 40 
 
 
 
 
 
 
 
 ft 
 
 j> ? 
 
 > 
 
 
 
 E. Orthochlorites of the type 
 R S A i R = 5 R 2 3 6 Si0 2 
 
 
 
 
 
 Source 
 
 41 
 
 24 MO 2 (5 A1 2 O 3 6 SiO 2 20 H 2 O 
 
 24MO = 16.5MgO-7.5FeO 
 
 Orthochlorite 
 
 Chester, 
 Mass. 
 
 F. Orthochlorites of the type 
 Si R R Si = 5 R 2 3 12 Si0 2 
 
 
 
 
 
 Source 
 
 42 
 
 12MO-2(5R 2 3 -12SiO 2 ) 
 28H 2 
 
 12 MO = 8MgO-2.5CaO-lMnO-0.5K 8 
 10 R 2 O 3 =6.5 A1 2 O 3 3.5 Fe 2 O 3 
 
 Hullite 
 
 Kinkell 
 
 43 
 
 22MO-2(5Al 2 3 -12Si0 2 
 24H 2 
 
 22 MO = 21 MgO 0.5 CaO 0.5 FeO 
 
 Orthochlorite 
 
 Markirch 
 
 44 
 
 29MO-2(5R 2 3 -12SiO 2 
 38 H 2 
 
 29MO = 29FeO 
 10 R 2 O 3 = 9 A1 2 O 3 1 Fe 2 O 3 
 
 Chamosite 
 
 Schmiedefeld 
 
 45 
 
 33MO-2(5R 2 O 3 -12SiO 2 ) 
 32H 2 
 
 33 MO = 17.5 MgO- 11 FeO 4.5 CaO 
 10R 2 3 = 7Al 2 3 -3Fe 2 3 
 
 Chloropite 
 
 Chloropitschiefer 
 von Koditz 
 
 46 
 
 34MO-2(5R 2 O 3 -12SiO 2 ) 
 34 H 2 O 
 
 34 MO = 20.5 MgO 12.5 FeO 1 CaO 
 10 R 2 O 3 = 8,5 A1 2 O 3 1.5 Fe 2 O 3 
 
 Delessite 
 
 Friedrichsroda 
 
 47 
 
 36 MO-2(5 Al 2 O 3 -12SiO 2 ) 
 36 H 2 O 
 
 36 MO = 33 FeO 3 MgO 
 
 Chamosite 
 
 Chrustenic 
 
 48 
 
 38 MO-2(5 Al 2 O 3 -12SiO 2 ) 
 32H 2 
 
 38 MO = 35 MgO -3 FeO 
 
 Orthochlorite 
 
 Newlin, Pa. 
 
 49 
 
 40MO-2(5R 2 O 3 -12SiO 2 ) 
 32 H 2 O 
 
 40 MO = 40 MgO 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 ?> 
 
 Alatal 
 
 50 
 
 40MO-2(5R 2 3 -12Si0 2 ) 
 32H 2 O 
 
 40 MO = 40 MgO 
 10 R 2 O = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 
 
 Achmatowsk 
 
THE ORTHOCHLORITE GROUP 
 
 389 
 
 or the general formula 
 
 m MO 2 (3 R 2 O 3 18 Si0 2 ) n H 2 0. 
 
 Analyst. 
 
 
 SiO a 
 
 Al 2 o s 
 
 Fe a Oi 1 Cr 2 0j | FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Marignac 
 
 Theory 
 LV 
 
 41.28 
 41.34 
 
 11.70 
 11.42 
 
 ~ 
 
 ~ 
 
 9.63 
 10.09 
 
 
 
 
 
 29.82 
 29.67 
 
 
 
 ~ 
 
 7.57 
 
 7.66 
 
 100.00 
 100.18 
 
 Heddle 
 
 Theory 
 LXXVIII 
 
 39.39 
 39.81 
 
 11.16 
 11.43 
 
 ~ 
 
 ~ 
 
 7.88 
 7.97 
 
 0.26 
 
 3.06 
 
 2.80 
 
 25.53 
 25.65 
 
 1.71 
 1.20 
 
 3.39 
 3.15 
 
 7.88 
 7.91 
 
 100.00 
 100.18 
 
 Marignac 
 
 Theory 
 LIII 
 
 38.84 
 38.45 
 
 11.01 
 11.75 
 
 ~ 
 
 ~ 
 
 12.94 
 12.82 
 
 ~ 
 
 
 
 28.76 
 28.19 
 
 __ 
 
 
 
 8.45 
 8.49 
 
 100.00 
 99.70 
 
 Hunt 
 
 Theory 
 CXIX 
 
 36.88 
 36.70 
 
 10.45 
 10.96 
 
 
 
 ~ 
 
 9.84 
 9.36 
 
 
 
 
 
 28.69 
 28.19 
 
 
 
 
 
 14.14 
 14.31 
 
 100.00 
 99.52 
 
 Liebe 
 
 Theory 
 V 
 
 30.29 
 
 29.85 
 
 8.58 
 9.07 
 
 ~ 
 
 ~ 
 
 26.75 
 26.60 
 
 
 
 
 
 18.23 
 17.92 
 
 
 
 
 
 16.15 
 15.81 
 
 100.00 
 99.25 
 
 Schweizer 
 
 Theory 
 XXXVI 
 
 33.73 
 33.82 
 
 9.56 
 9.32 
 
 ~ 
 
 ~ 
 
 11.24 
 11.30 
 
 - 
 
 __ 
 
 33.10 
 33.04 
 
 
 
 __ 
 
 12.37 
 11.50 
 
 100.00 
 98.98 
 
 
 
 Theory 
 XXXVII 
 
 33.07 
 
 9.69 
 
 
 
 
 
 11.36 
 
 
 
 
 
 32.34 
 
 
 
 
 
 12.58 
 
 99.04 
 
 or the general formula 
 
 m MO 5 (5 R 2 3 6 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1.0, 
 
 Fe 2 8 
 
 Cr 2 3 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na 2 
 
 H 2 
 
 Total 
 
 Pisani 
 
 Theory 
 CXXIV 
 
 21.81 
 21.40 
 
 30.91 
 32.30 
 
 
 
 
 
 16.36 
 15.80 
 
 
 
 
 
 20.00 
 19.90 
 
 
 
 
 
 10.91 
 10.90 
 
 100.00 
 100.30 
 
 or the general formula 
 mMO 2(5R 2 3 - 12S10, 
 
 nH 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 3 
 
 Cr 2 s 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 |Na 2 o| H 2 
 
 Total 
 
 Heddle 
 
 Theory 
 II 
 
 38.45 
 38.59 
 
 17.71 
 17.34 
 
 14.95 
 15.97 
 
 
 
 
 
 1.90 
 1.56 
 
 3.74 
 3.94 
 
 8.54 
 8.65 
 
 1.25 
 0.67 
 
 - 
 
 13.46 
 13.48 
 
 100.00 
 100.20 
 
 Delesse 
 
 Theory 
 
 37.94 
 38.39 
 
 26.87 
 26.54 
 
 
 
 
 
 0.94 
 0.59 
 
 z 
 
 0.74 
 0.67 
 
 22.13 
 22.16 
 
 z 
 
 - 
 
 11.38 
 11.65 
 
 100.00 
 100.00 
 
 Loretz 
 
 Theory 
 III 
 
 27.22 
 27.00 
 
 17.35 
 17.00 
 
 3.02 
 4.00 
 
 
 
 39.47 
 39.00 
 
 z 
 
 z 
 
 z 
 
 ~ 
 
 
 
 12.94 
 13.00 
 
 100.00 
 100.00 
 
 > 
 
 Theory 
 IV 
 
 29.07 
 29.06 
 
 14.41 
 14.04 
 
 9.69 
 9.27 
 
 - 
 
 15.99 
 15.96 
 
 
 
 5.08 
 5.02 
 
 14.13 
 13.95 
 
 
 
 
 
 11.63 
 11.64 
 
 100.00 
 98.94 
 
 Pufahl 
 
 Theory 
 IV 
 
 29.18 
 
 28.79 
 
 17.57 
 16.74 
 
 4.86 
 4.83 
 
 
 
 18.24 
 18.30 
 
 - 
 
 1.13 
 
 0.98 
 
 16.61 
 16.62 
 
 
 
 
 
 12.41 
 12.25 
 
 100.00 
 100.21 
 
 Boricky 
 
 Theory 
 VI 
 
 25.69 
 25.60 
 
 18.20 
 18.72 
 
 
 
 
 
 42.40 
 42.31 
 
 - 
 
 
 
 2.14 
 2.13 
 
 
 
 - 
 
 11.57 
 11.24 
 
 100.00 
 100.00 
 
 Leeds 
 
 Theory 
 CXXXVII 
 
 30.96 
 30.62 
 
 21.92 
 21.73 
 
 0.42 
 
 ~ 
 
 4.64 
 5.01 
 
 
 
 
 
 30.09 
 29.69 
 
 0.11Li 2 O 
 
 0.14 
 
 12.39 
 12.26 
 
 100.00 
 99.98 
 
 Marignac 
 
 Theory 
 L 
 
 30.49 
 30.01 
 
 18.36 
 19.11 
 
 5.08 
 4.81 
 
 
 
 
 
 
 
 
 
 33.88 
 33.15 
 
 __ 
 
 
 
 12.19 
 12.52 
 
 100.00 
 99.60 
 
 ' 
 
 Theory 
 XCI 
 
 30.49 
 30.27 
 
 18.36 
 19.85 
 
 5.08 
 
 4.42 
 
 
 
 - 
 
 
 
 - 
 
 33.88 
 33.13 
 
 
 
 ~ 
 
 12.19 
 12.54 
 
 100.00 
 100.25 
 
390 
 
 THE SCAPOLITE GROUP 
 
 
 
 
 
 Source 
 
 51 
 
 40 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 32H 2 
 
 40 MO = 23.5 MgO 16.5 FeO 
 
 Orthochlorite 
 
 Gumuch, Dagh. 
 
 52 
 
 40 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 34H 2 
 
 40 MO = 22 MgO- 18 FeO 
 
 
 
 Sept-Lacs 
 
 53 
 
 40 MO 2(5 R 2 O 3 12 SiO 2 ) 
 
 40 MO = 38 MgO -2 FeO 
 
 Jf 
 
 Borostyanko 
 
 
 34 H 2 O 
 
 10R 2 O 3 =9Al 2 3 -lFe 2 O 3 
 
 
 
 54 
 
 40 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 
 40 MO = 38 MgO -2 FeO 
 
 99 
 
 Alatal 
 
 
 40 H 2 O 
 
 
 
 
 55 
 
 40 MO 2(5 A1 2 3 12 SiO 2 ) 
 
 > 
 
 > 
 
 ,, 
 
 
 40 H 2 O 
 
 
 
 
 56 
 
 41 MO - 2(5 R 2 O 3 12 SiO 2 ) 
 
 41 MO = 37 MgO -4 FeO 
 
 M 
 
 Montafun 
 
 
 34H 2 
 
 10 R 2 O 3 =9.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 57 
 
 41 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 46H 2 
 
 41MO = 34FeO-5MgO- 1 CaO 
 1K 2 
 
 Metachlorite 
 
 Buchenberge 
 bei Elbingerode 
 
 58 
 
 42 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 
 42 MO = 38 MgO 4 FeO 
 
 Orthochlorite 
 
 Culsagee Mine, 
 
 
 32 H 2 O 
 
 
 
 N.C. 
 
 59 
 
 42MO-2(5Al 2 O 3 -12Si0 2 ) 
 
 42MO = 41.5MgO-0.5FeO 
 
 
 
 Amity, N.Y. 
 
 
 34H 2 
 
 
 
 
 60 
 
 42MO-2(5Al 2 3 -12Si0 2 ) 
 
 42 MO = 21 MgO -20 FeO 
 
 M 
 
 Foundry Run, 
 
 
 46H 2 
 
 - 1 Na 2 
 
 
 Georget, D.C. 
 
 61 
 
 46 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 
 46 MO = 24 MgO 22 FeO 
 
 M 
 
 St. Gotthard 
 
 
 28 H 2 O 
 
 
 
 
 62 
 
 46 MO 2(5 A1 2 O 3 12 SiO 2 ) 
 
 46 MO = 33 MgO 12 FeO 1 CaO 
 
 > 
 
 Zillertal 
 
 
 38 H 2 O 
 
 
 
 
 63 
 
 47MO-2(5R 2 O 3 -12Si0 2 ) 
 
 47 MO = 33.5MgO-12.5FeO-lMnO 
 
 >f 
 
 Loch Laggan 
 
 
 36H 2 
 
 10 R 2 O 3 = 9.5 A1 2 3 0.5 Fe 2 O 3 
 
 
 
 G. Orthochlorites of the type 
 Si E Si R S A i = 5 R 2 3 18 Si0 2 
 
 
 
 
 
 Source 
 
 64 
 
 42 MO 
 
 2(5 R 2 O 3 
 36 H 2 
 
 18 Si0 2 ) 
 
 42 MO = 42 MgO 
 10 R 2 O 3 = 7.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 Lennilite 
 
 Lenni 
 
 65 
 
 44 MO 
 
 2(5 R 2 3 
 34H 2 
 
 18SiO 2 ) 
 
 44 MO = 37.5 MgO 3.5 FeO 3 CaO 
 10 R 2 O 3 = 7.5 A1 2 O 3 2.5 Fe 2 O 3 &? 
 
 Berlauite 
 
 Berlaubach 
 bei Budweis 
 
 66 
 
 44 MO 
 
 2(5R 2 3 - 
 40 H 2 
 
 18 SiO 2 ) 
 
 44 MO = 28.5MgO 14 FeO 1.5 CaO 
 10 R 2 O 3 =7.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 Euralite 
 
 Kiperjarvi 
 
 67 
 
 44 MO 
 
 2(5 R 2 3 
 58 H 2 O 
 
 18 SiO 3 ) 
 
 44 MO = 37.5 MgO 3.5 FeO 3 CaO 
 10 R 2 3 = 7.5 A1 2 3 2.5 Fe 2 O 3 ., [ 
 
 Berlauite 
 
 Berlaubach 
 bei Budweis 
 
 68 
 
 53 MO 
 
 2(5 R 2 3 
 48 H 2 
 
 18Si0 2 ) 
 
 53 MO = 53 MgO 
 10 R 2 O 3 = 7 A1 2 O 3 3 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Snarum 
 
 69 
 
 54 MO 
 
 - 2(5 A1 2 3 
 48 H 2 O 
 
 18 SiO 2 ) 
 
 54 MO = 53 MgO- 1 FeO 
 
 
 
 Ploben 
 
 70 
 
 56 MO 
 
 2(5 R 2 3 
 54 H 2 O 
 
 18 SiO 2 ) 
 
 56 MO = 33 MgO 18 FeO 2 CaO -1 MnO 
 1.5Na 2 O-0.5K 2 O;10R 2 O 3 = 9Al 2 O 3 -lFe 2 O 3 
 
 Delessite 
 
 Elie, Fife- 
 shire 
 
 71 
 
 57 MO 
 
 2(5R 2 O 3 - 
 48 H 2 O 
 
 18 SiO 2 ) 
 
 57 MO = 57 MgO 
 10 R 2 O 3 =7 A1 2 O 3 2.5 Cr 2 O 3 0.5 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Texas, Pa. 
 
 72 
 
 57 MO 
 
 2(5R 2 3 - 
 "-.48 H 2 O 
 
 18.Si0 8 ) 
 
 57 MO = 57 MgO 
 10 R 2 O 3 = 7 A1 2 O 3 2.5 Cr 2 O 3 0.5 Fe 2 O 3 
 
 n 
 
 
 
THE ORTHOCHLORITE GROUP 
 
 391 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 8 
 
 Cr 2 3 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 O 
 
 Na 2 
 
 H 2 
 
 Total 
 
 L. Smith 
 
 Theory 
 
 27.88 
 
 19.75 
 
 
 
 
 
 23.01 
 
 
 
 
 
 18.21 
 
 
 
 
 
 11.15 
 
 100.00 
 
 
 CXIV 
 
 27.20 
 
 18.62 
 
 
 
 
 
 23.21 
 
 
 
 
 
 17.64 
 
 
 
 
 
 10.61 
 
 97.28 
 
 Marignac 
 
 Theory 
 
 27.44 
 
 19.44 
 
 
 
 
 
 24.70 
 
 
 
 
 
 16.77 
 
 
 
 
 
 11.65 
 
 100.00 
 
 
 LX 
 
 27.14 
 
 19.19 
 
 
 
 
 
 24.76 
 
 
 
 
 
 16.78 
 
 
 
 
 
 11.50 
 
 99.37 
 
 Szilasi 
 
 Theory 
 
 30.04 
 
 19.15 
 
 3.34 
 
 
 
 3.00 
 
 
 
 
 
 31.71 
 
 
 
 
 
 12.76 
 
 100.00 
 
 
 XVI 
 
 30.45 
 
 18.96 
 
 3.70 
 
 
 
 2.21 
 
 
 
 
 
 32.20 
 
 
 
 
 
 12.79 
 
 100.31 
 
 Jannasch 
 
 Theory 
 
 29.73 
 
 21.06 
 
 
 
 
 
 2.97 
 
 
 
 
 
 31.37 
 
 
 
 
 
 14.87 
 
 100.00 
 
 
 LI 
 
 29.31 
 
 21.31 
 
 0.07 
 
 
 
 3.24 
 
 
 
 
 
 31.28 
 
 
 
 0.43 
 
 14.58 
 
 100.22 
 
 
 Theory 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 LII 
 
 29.59 
 
 24.82(Al 2 O 3 +FeO) 
 
 
 
 
 
 
 
 31.46 
 
 
 
 0.30 
 
 14.73 
 
 100.90 
 
 Wartha 
 
 Theory 
 
 29.57 
 
 19.91 
 
 1.64 
 
 
 
 5.91 
 
 
 
 
 
 30.41 
 
 
 
 
 
 12.56 
 
 100.00 
 
 
 XXXII 
 
 29.44 
 
 20.98 
 
 2.00 
 
 
 
 5.60 
 
 
 
 
 
 30.31 
 
 
 
 
 
 12.29 
 
 100.62 
 
 List 
 
 Theory 
 
 23.65 
 
 16.76 
 
 
 
 
 
 40.22 
 
 
 
 0.93 
 
 3.28 
 
 1.55 
 
 
 
 13.61 
 
 100.00 
 
 
 I 
 
 23.78 
 
 16.43 
 
 
 
 
 
 40.37 
 
 
 
 0.74 
 
 3.10 
 
 1.38 
 
 0.08 
 
 13.76 
 
 99.64 
 
 Genth 
 
 Theory 
 
 29.73 
 
 21.06 
 
 
 
 
 
 5.94 
 
 
 
 
 
 31.38 
 
 
 
 
 
 11.89 
 
 100.00 
 
 
 CLVI 
 
 29.48 
 
 22.22 
 
 0.70 
 
 
 
 5.30 
 
 0.17 
 
 
 
 30.99 
 
 0.11(]S 
 
 iCo)O 
 
 11.63 
 
 100.60 
 
 Sipocz 
 
 Theory 
 
 30.20 
 
 21.40 
 
 
 
 
 
 0.76 
 
 
 
 
 
 34.81 
 
 
 
 
 
 12.83 
 
 100.00 
 
 
 cxxv 
 
 30.28 
 
 22.13 
 
 
 
 
 
 1.08 
 
 
 
 
 
 34.45 
 
 
 
 
 
 12.61 
 
 100.55 
 
 Clarke 
 
 Theory 
 
 25.57 
 
 18.11 
 
 
 
 
 
 25.57 
 
 
 
 
 
 14.92 
 
 
 
 1.09 
 
 14.70 
 
 100.00 
 
 
 CLI 
 
 25.45 
 
 17.88 
 
 
 
 
 
 24.98 
 
 
 
 
 
 15.04 
 
 
 
 0.67 
 
 14.43 
 
 98.45 
 
 Varren- 
 
 Theory 
 
 26.14 
 
 18.52 
 
 
 
 
 
 28.76 
 
 
 
 
 
 17.43 
 
 
 
 
 
 9.15 
 
 100.00 
 
 trapp 
 
 XXXIII 
 
 25.37 
 
 18.50 
 
 
 
 
 
 28.79 
 
 
 
 
 
 17.09 
 
 
 
 
 8.96 
 
 98.71 
 
 Tscher- 
 
 Theory 
 
 26.69 
 
 18.91 
 
 
 
 
 
 16.02 
 
 
 
 1.04 
 
 24.47 
 
 
 
 
 
 12.87 
 
 100.00 
 
 mak 
 
 XXXI 
 
 26.30 
 
 19.80 
 
 
 
 
 
 15.10 
 
 
 
 1.00 
 
 24.40 
 
 
 
 
 
 12.40 
 
 99.00 
 
 Heddle 
 
 Theory 
 
 26.42 
 
 17.79 
 
 1.47 
 
 
 
 16.52 
 
 1.30 
 
 
 
 24.59 
 
 
 
 
 
 11.91 
 
 100.00 
 
 
 LXXV 
 
 26.25 
 
 19.22 
 
 1.67 
 
 
 
 16.44 
 
 1.02 
 
 
 
 24.35 
 
 
 
 
 
 11.67 
 
 100.62 
 
 or the general formula 
 
 m MO 2 (5 R 2 O 3 18 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 8 
 
 Fe 2 3 
 
 Cr 2 O 8 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na 2 
 
 H 2 
 
 Total 
 
 Gooch 
 
 Theory 
 II 
 
 38.21 
 38.03 
 
 13.53 
 12.93 
 
 7.08 
 7.02 
 
 
 
 0.50 
 
 
 
 
 
 29.72 
 29.64 
 
 
 
 
 
 11.46 
 11.68 
 
 100.00 
 99.80 
 
 Schrauf 
 
 Theory 
 II 
 
 36.88 
 37.25 
 
 13.05 
 13.75 
 
 6.83 
 6.86 
 
 ~ 
 
 4.31 
 4.02 
 
 z 
 
 2.86 
 2.81 
 
 25.62 
 25.77 
 
 
 
 
 
 10.45 
 9.82 
 
 100.00 
 100.28 
 
 Wilk 
 
 Theory 
 
 34.41 
 33.68 
 
 12.18 
 12.15 
 
 6.37 
 
 6.80 
 
 
 
 16.06 
 15.66 
 
 
 
 1.34 
 1.34 
 
 18.16 
 17.92 
 
 z 
 
 - 
 
 11.48 
 11.49 
 
 100.00 
 99.04 
 
 Schrauf 
 
 Theory 
 
 34.35 
 34.38 
 
 12.16 
 12.69 
 
 6.36 
 6.33 
 
 
 
 4.00 
 3.71 
 
 - 
 
 2.67 
 2.59 
 
 23.85 
 23.79 
 
 z 
 
 
 
 16.61 
 16.79 
 
 100.00 
 100.28 
 
 Rammels- 
 berg 
 
 v. Drasche 
 
 Theory 
 LXXIX 
 
 Theory 
 XII 
 
 34.07 
 34.88 
 34.64 
 34.63 
 
 11.27 
 12.48 
 
 16.35 
 17.13 
 
 7.57 
 5.81 
 
 
 
 1.14 
 1.61 
 
 
 
 
 
 33.45 
 34.02 
 
 34.00 
 33.38 
 
 
 
 
 
 13.64 
 13.68 
 
 13.87 
 13.93 
 
 100.00 
 100.87 
 
 100.00 
 100.68 
 
 Heddle 
 
 Theory 
 IX 
 
 30.22 
 30.69 
 
 12.84 
 12.83 
 
 2.24 
 1.63 
 
 
 
 18.14 
 18.32 
 
 0.99 
 1.00 
 
 1.56 
 1.59 
 
 18.46 
 18.60 
 
 0.65 
 0.57 
 
 1.30 
 1.11 
 
 13.60 
 13.77 
 
 100.00 
 100.11 
 
 Genth 
 
 Theory 
 CXLII 
 
 33.34 
 33.20 
 
 11.02 
 11.11 
 
 1.24 
 1.43 
 
 5.88 
 6.85 
 
 
 
 z 
 
 z 
 
 35.19 
 35.54 
 
 0.38 Alk 
 
 z 
 
 13.33 
 12.95 
 
 100.00 
 101.46 
 
 Dieffen- 
 bach 
 
 Theory 
 CXLVI 
 
 33.34 
 33.04 
 
 11.02 
 11.09 
 
 1.24 
 1.33 
 
 5.88 
 5.91 
 
 z 
 
 
 
 z 
 
 35.19 
 34.30 
 
 0.38 Alk 
 
 z 
 
 13.33 
 12.81 
 
 100.00 
 98.86 
 
 
392 
 
 THE ORTHOCHLORITE GROUP 
 
 Source 
 
 73 
 
 74 
 
 75 
 76 
 
 77 
 78 
 79 
 
 58MO-2(5Al 2 3 -18SiO 2 ) 
 
 48 H 2 
 
 60MO-2(5R 2 3 -18SiO 2 ) 
 48H 2 
 
 61MO-2(5R 2 O 3 -18SiO 2 ) 
 48H 2 
 
 61 MO 2(5 A1 2 O 3 18 SiO 2 ) 
 -44H 2 
 
 63MO-2(5R 2 O 3 -18SiO 2 ) 
 
 52 H 2 O 
 
 63MO-2(5R 2 3 -18Si0 2 ) 
 
 52 H 2 O 
 
 65MO-2(5Al,0 3 -18SiO 2 ) 
 
 44 H 2 6 
 
 58 MO = 56 MgO -2 FeO 
 
 60 MO = 54 MgO 5 FeO 1 CaO 
 10 R 2 O 3 = 9 A1 2 O 3 1 Fe 2 O 8 
 
 61 MO = 60 MgO- IFeO 
 10R 2 O 3 =5Al 2 3 -5Cr 2 3 
 
 61 MO = 55 MgO -6 FeO 
 
 63 M0 = 60 MgO 2 FeO 1 CaO 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Cr 2 O 3 
 
 63 MO = 60 MgO 2 FeO 1 CaO 
 10 R 2 O 3 =8.5 A1 2 O 3 - 1.5 Cr 2 O 3 
 
 65 MO = 58 MgO 5 FeO 1 CaO 
 0.5 K 2 O 0.5 Na 2 O 
 
 Ortho- 
 chlorite 
 
 Zdjar-Berg 
 Hillswick 
 
 Green Valley 
 Cal. 
 
 Zillertal 
 Texas, Pa. 
 
 Tilly Foster 
 Mine, N.Y. 
 
 H. Orthochlorites of the type 
 
 Si R Si Si R Si = 5 R 2 3 22 Si0 2 
 
 
 
 
 
 Source 
 
 80 
 
 42 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 42 M0 = 33 MgO 8 FeO 1 CaO 
 
 Epichlorite 
 
 Harz 
 
 
 36 H 2 
 
 10R 2 O 3 = 6.5 A1 2 O 3 3.5 Fe 2 O 3 
 
 
 
 81 
 
 46 MO 2(5 Fe 2 O 3 22 SiO 2 ) 
 
 46 MO = 46 FeO 
 
 Cron- 
 
 Pfibram 
 
 
 50 H 2 O 
 
 
 stedtite 
 
 
 82 
 
 51 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 51 MO = 48.5 MgO 2.5 FeO 
 
 Lennilite 
 
 Kremze 
 
 
 48 H 2 O 
 
 10R 2 O 3 = 9Al 2 3 -lFe 2 8 
 
 
 
 83 
 
 52MO-2(5R 2 3 -22Si0 2 ) 
 
 52MO = 44MgO-5CaO-2.5FeO-0.5 NiO 
 
 Ortho- 
 
 Texas, Pa. 
 
 
 52 H 2 O 
 
 10 R 2 O 3 = 8 A1 2 O 3 2 Cr 2 O 3 
 
 chlorite 
 
 
 84 
 
 60 MO 2(5 R 2 3 22 SiO 2 ) 
 
 60 MO = 51 MgO-3 K 2 O-3 FeO-3 Na 2 O 
 
 w 
 
 Taberg 
 
 
 24H 2 
 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 
 
 85 
 
 60 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 60 MO = 32 MgO 27 FeO 1 CaO 
 
 Diabantite 
 
 Farmington 
 
 
 44 H 2 O 
 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 
 Hills 
 
 86 
 
 60 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 60 MO = 32 MgO - 27 FeO 1 CaO 
 
 n 
 
 n 
 
 
 44 H 2 O 
 
 10 R 2 O 3 = 8.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 
 
 87 
 
 69 MO 2(5 R 2 3 22 SiO 2 ) 
 
 69 MO = 41.5 MgO 27.5 FeO 
 
 99 
 
 Trillochtal 
 
 
 52 H 2 
 
 10R 2 3 =8Al 2 3 -2Fe 2 3 
 
 
 
 88 
 
 72 MO -2(5Al 2 3 -22Si0 2 ) 
 
 72 MO = 47 MgO 25 FeO 
 
 99 
 
 Landes- 
 
 
 56 H 2 
 
 
 
 freude 
 
 89 
 
 72 MO 2(5 A1 2 O 3 22 SiO 2 ) 
 
 
 
 
 M 
 
 
 56 H 2 O 
 
 
 
 
 90 
 
 72 MO 2(5 A1 2 O 3 22 SiO 2 ) 
 
 > > 
 
 
 Grafenwart 
 
 
 56 H 2 O 
 
 
 
 
 91 
 
 73 MO 2(5 A1 2 O 3 22 SiO 2 ) 
 
 73 MO = 66 MgO -7 FeO 
 
 Ortho- 
 
 Zermatt 
 
 
 54 H 2 O 
 
 
 chlorite 
 
 
 92 
 
 74 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 74 MO = 66 MgO 6 CaO 2 FeO 
 
 99 
 
 Unst 
 
 
 64 H 2 O 
 
 10R 2 3 = 6Al 2 3 -4Cr 2 3 
 
 
 
 93 
 
 75 MO 2(5 R 2 O 3 22 SiO 2 ) 
 
 75 MO = 73 MgO -2 FeO 
 
 
 Zermatt 
 
 
 58 H 2 O 
 
 10R 2 O 3 =9Al 2 3 -lFe 2 3 
 
 
 
 94 
 
 79 MO 2(5 A1 2 O 3 22 SiO 2 ) 
 
 79 MO = 46.5 MgO 32.5 FeO 
 
 Diabantite 
 
 Reinsdorf 
 
 
 50 H 2 O 
 
 
 
 

 THE ORTHOCHLORITE GROUP 
 
 Analyst 
 
 
 Si0 2 
 
 Al a O s 
 
 Fe 2 3 
 
 CTjOs 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Nao 
 
 H a o 
 
 Total 
 
 K.v. 
 
 Theory 
 
 33.60 
 
 15.87 
 
 
 
 
 
 2.24 
 
 
 
 
 
 34.85 
 
 
 
 
 
 13.44 
 
 100.00 
 
 Hauer 
 
 XIV 
 
 33.51 
 
 15.42 
 
 
 
 
 
 2.58 
 
 
 
 
 
 34.41 
 
 
 
 
 
 13.21 
 
 99.13 
 
 Heddle 
 
 Theory 
 
 32.35 
 
 13.76 
 
 2.39 
 
 
 
 5.39 
 
 
 
 0.83 
 
 32.34 
 
 
 
 
 
 12.94 
 
 100.00 
 
 
 LXVIII 
 
 32.55 
 
 13.95 
 
 0.97 
 
 
 
 5.28 
 
 0.16 
 
 0.79 
 
 32.78 
 
 0.48 
 
 0.06 
 
 13.17 
 
 100.19 
 
 Melville 
 
 Theory 
 
 31.92 
 
 7.54 
 
 
 
 11.25 
 
 1.06 
 
 
 
 
 
 35.46 
 
 
 
 
 
 12.77 
 
 100.00 
 
 
 CLXII 
 
 31.74 
 
 6.74 
 
 
 
 11.39 
 
 1.23 
 
 . 
 
 0.18 
 
 35.18 
 
 0.49 NiO 
 
 
 
 13.04 
 
 99.99 
 
 Kobell 
 
 Theory 
 
 32.71 
 
 15.44 
 
 
 
 
 
 6.54 
 
 
 
 
 
 33.32 
 
 
 
 
 
 11.99 
 
 100.00 
 
 
 XXII 
 
 32.68 
 
 14.57 
 
 
 
 
 
 5.97 
 
 0.28 
 
 
 
 33.11 
 
 1.02 Resid. 
 
 
 
 12.10 
 
 99.73 
 
 Pearse 
 
 Theory 
 
 31.71 
 
 12.73 
 
 
 
 3.33 
 
 2.11 
 
 
 
 1.12 
 
 35.23 
 
 
 
 
 
 13.75 
 
 100.00 
 
 
 CXLVII 
 
 31.31 
 
 12.84 
 
 
 
 2.98 
 
 2.46 
 
 
 
 0.82 
 
 35.02 
 
 0.45 NiO 
 
 
 
 13.20 
 
 99.08 
 
 Pearse 
 
 Theory 
 
 31.71 
 
 12.73 
 
 
 
 3.33 
 
 2.11 
 
 
 
 1.12 
 
 35.23 
 
 
 
 
 
 13.75 
 
 100.00 
 
 
 CXLVIII 
 
 31.86 
 
 13.75 
 
 
 
 2.15 
 
 2.31 
 
 
 
 1.27 
 
 34.90 
 
 0.22 NiO 
 
 
 
 13.98 
 
 100.44 
 
 Breiden- 
 
 Theory 
 
 31.83 
 
 15.03 
 
 
 
 
 
 5.30 
 
 
 
 0.82 
 
 34.19 
 
 0.69 
 
 0.46 
 
 11.68 
 
 100.00 
 
 baugh 
 
 CXXVI 
 
 32.33 
 
 14.56 
 
 
 
 
 
 5.29 
 
 
 
 1.04 
 
 33.74 
 
 0.87 
 
 0.54 
 
 12.02 
 
 100.39 
 
 or the general formula 
 
 m MO 2 (5 R 2 3 22 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiOa | Al a 3 
 
 Fe a O, 
 
 CTj0 3 
 
 FeO 
 
 MnO 
 
 CaO | MgO 
 
 K a O 
 
 Na,0 
 
 H a O 
 
 Total 
 
 Rammels- 
 berg 
 
 Theory 
 I 
 
 40.85 
 
 40.88 
 
 10.26 
 10.96 
 
 8.66 
 9.72 
 
 z 
 
 8.91 
 8.96 
 
 - 
 
 0.87 
 0.68 
 
 20.43 
 20.00 
 
 
 
 Z 
 
 10.02 
 10.18 
 
 100.00 
 100.38 
 
 Field 
 
 Theory 
 IX 
 
 31.24 
 31.72 
 
 
 18.93 
 18.51 
 
 
 
 39.19 
 39.46 
 
 
 
 
 
 
 
 
 
 
 
 10.64 
 11.02 
 
 100.00 
 100.71 
 
 Schrauf 
 
 Theory 
 
 39.38 
 
 38.88 
 
 13.70 
 13.45 
 
 2.39 
 3.22 
 
 
 
 2.68 
 2.55 
 
 - 
 
 0.45 
 
 28.95 
 28.57 
 
 
 
 z 
 
 12.90 
 12.75 
 
 100.00 
 99.87 
 
 Garret 
 
 Theory 
 CXLIII 
 
 37.77 
 37.66 
 
 11.68 
 11.82 
 
 
 
 4.35 
 3.60 
 
 2.57 
 2.50 
 
 
 
 4.01 
 4.11 
 
 25.17 
 
 24.98 
 
 1.06N1O 
 0.67NiO 
 
 
 
 13.39 
 13.58 
 
 100.00 
 98.92 
 
 Paltauf 
 
 Theory 
 LXXXVI 
 
 38.24 
 38.04 
 
 12.56 
 12.62 
 
 3.48 
 2.53 
 
 ~ 
 
 3.13 
 2.93 
 
 0.51F1 
 
 0.48 
 
 29.55 
 29.45 
 
 4.09 
 4.17 
 
 2.69 
 2.73 
 
 6.26 
 6.25 
 
 100.00 
 99.71 
 
 Hawes 
 
 Theory 
 VIII 
 
 33.76 
 33.24 
 
 11.08 
 11.07 
 
 3.07 
 2.26 
 
 
 
 24.86 
 25.11 
 
 0.41 
 
 0.72 
 1.11 
 
 16.37 
 16.51 
 
 
 
 0.25 
 
 10.14 
 9.91 
 
 100.00 
 99.87 
 
 
 
 Theory 
 IX 
 
 33.76 
 33.68 
 
 11.08 
 10.84 
 
 3.07 
 2.86 
 
 
 
 24.86 
 24.33 
 
 0.38 
 
 0.72 
 0.73 
 
 16.37 
 16.52 
 
 
 
 0.33 
 
 10.14 
 10.02 
 
 100.00 
 99.69 
 
 Liebe 
 
 Theory 
 VI 
 
 31.61 
 31.25 
 
 9.77 
 10.03 
 
 3.83 
 3.47 
 
 z 
 
 23.70 
 23.52 
 
 
 
 - 
 
 19.83 
 19.73 
 
 
 
 
 
 11.21 
 11.37 
 
 100.00 
 99.37 
 
 n 
 
 Theory 
 III 
 
 31.63 
 31.69 
 
 12.22 
 12.22 
 
 
 
 
 
 21.56 
 21.26 
 
 
 
 ~ 
 
 22.52 
 22.05 
 
 z 
 
 
 
 12.07 
 12.47 
 
 100.00 
 99.69 
 
 
 
 Theory 
 IV 
 
 31.63 
 31.38 
 
 12.22 
 11.89 
 
 
 
 ~ 
 
 21.56 
 22.72 
 
 z 
 
 z 
 
 22.52 
 22.91 
 
 
 
 
 
 12.07 
 10.91 
 
 100.00 
 99.81 
 
 " 
 
 Theory 
 VII 
 
 31.63 
 31.56 
 
 12.22 
 12.08 
 
 
 
 ~ 
 
 21.56 
 21.61 
 
 z 
 
 
 
 22.52 
 22.44 
 
 
 
 
 
 12.07 
 11.78 
 
 100.00 
 99.47 
 
 Piccard 
 
 Theory 
 XLII 
 
 33.94 
 33.54 
 
 13.12 
 13.39 
 
 - 
 
 ~ 
 
 6.49 
 6.62 
 
 z 
 
 
 
 33.94 
 33.56 
 
 
 
 
 
 12.51 
 12.38 
 
 100.00 
 99.49 
 
 Heddle 
 
 Theory 
 LXIV 
 
 32.46 
 32.31 
 
 7.52 
 7.50 
 
 - 
 
 7.49 
 7.89 
 
 1.77 
 
 2.08 
 
 z 
 
 4.13 
 3.83 
 
 32.46 
 32.15 
 
 ___ 
 
 ___ 
 
 14.17 
 14.25 
 
 100.00 
 100.01 
 
 v. Fellen- 
 
 berg 
 
 Theory 
 XLV 
 
 33.73 
 33.97 
 
 11.73 
 11.66 
 
 2.04 
 2.49 
 
 
 
 1.84 
 1.81 
 
 
 
 
 
 37.32 
 37.60 
 
 
 
 
 
 13.04 
 13.57 
 
 100.00 
 101.10 
 
 Liebe 
 
 Theory 
 
 30.14 
 30.27 
 
 11.64 
 11.16 
 
 . 
 
 ' 
 
 26.70 
 26.94 
 
 - 
 
 
 
 21.24 
 21.22 
 
 
 
 
 
 10.28 
 10.20 
 
 100.00 
 99.79 
 
394 
 
 THE ORTHOCHLORITE GROUP 
 
 J. Orthochlorites of the type 
 R Si R = 6 R 2 3 6 SiO 2 
 
 
 
 
 
 Source 
 
 95 
 
 18 MO 
 
 2 (6 Fe 2 3 
 22 H 2 O 
 
 6 Si0 2 ) 
 
 18 MO = 18 FeO 
 
 Cron- 
 stedtite 
 
 Kuttenberg 
 
 K. Orthochlorites of the type 
 Si R R Si = 6 R 2 3 10 Si0 2 
 
 96 
 
 
 
 
 Source 
 
 16MO-2(6R 2 <V10SiO 8 ) 
 
 28 H 2 
 
 16 MO = 16 MgO 
 12 R 2 3 =9.5 A1 2 3 2.5 Fe 2 O 3 
 
 Ortho 
 chlorite 
 
 Unionville 
 
 97 
 
 16MO-2(6R 2 O 3 -10SiO 2 ) 
 30 H 2 O 
 
 16MO = 16MgO 
 12 R 2 O 3 =8 A1 2 O 3 4 Fe 2 O 3 
 
 
 
 " 
 
 98 
 
 20MO-2(6R 2 3 -10Si0 2 ) 
 24H 2 
 
 20 MO = 18 FeO- 1.5 MgO 0.5 CaO 
 12 R 2 O 3 = 8.5 A1 2 O 3 3.5 Fe 2 O 3 
 
 Aphro- 
 siderite 
 
 Konigshain 
 
 99 
 
 23 MO 2(6 R 2 O 3 10 SiO 2 ) 
 26 H 2 O 
 
 23 MO = 17 MgO 5 FeO 1 K 2 O 
 12R 2 3 =llAl 2 3 -lFe 2 3 
 
 Ortho- 
 chlorite 
 
 Unionville 
 
 100 
 
 23MO-2(6R 2 O 3 -10SiO 2 ) 
 26 H 2 O 
 
 23 MO = 17,MgO - SJFeO 1 K 2 O 
 12R 2 O 3 =11A1 2 O 3 - !Fe 2 O 3 
 
 
 
 > 
 
 101 
 
 26 MO 2(6 R 2 O 3 10 SiO 2 ) 
 30 H 2 O 
 
 26 MO = 24 FeO -2 MgO 
 12R 2 3 = 8Al 2 3 -4Fe 2 3 
 
 Thuringite 
 
 Harper's 
 
 Ferry 
 
 102 
 
 26 MO 2(6 R 2 O 3 10 SiO 2 ) 
 30 H 2 O 
 
 26 MO = 24 FeO -2 MgO 
 12R 2 3 =8Al 2 3 -4Fe 2 O 3 
 
 M 
 
 Schmiede- 
 feld 
 
 103 
 
 26 MO 2(6 R 2 O 3 10 SiO 2 ) 
 30 H 2 O 
 
 26 MO = 23.5 FeO 2 MgO 0.5 Na 2 O 
 12R 2 3 = 8 A1 2 3 4Fe 2 3 
 
 
 
 Harper's 
 Ferry 
 
 104 
 
 26 MO 2(6 R 2 O 3 10 SiO 2 ) 
 30 H 2 O 
 
 26 MO = 23.5 FeO 2 MgO 0.5 Na 2 O 
 12 R 2 O 3 = 8 A1 2 O 3 4 Fe 2 O 3 
 
 
 
 > 
 
 105 
 
 27 MO 2(6 Fe 2 O 3 10 SiO 2 ) 
 24 H 2 O 
 
 27 MO = 19 FeO 7 MgO 1 MnO 
 
 Cron- 
 stedtite 
 
 Pfibram 
 
 106 
 
 27 MO 2(6 R 2 O 3 10 SiO 2 ) 
 30 H 2 O 
 
 27 MO = 23.5 FeO - 2.5 MgO 1 MnO 
 12 R 2 O 3 = 8 A1 2 O 3 - 4 Fe 2 O 3 
 
 Thuringite 
 
 Hot 
 
 Springs 
 
 107 
 
 28 MO 2(6 R 2 O 3 10 SiO 2 ) 
 32 H 2 O 
 
 28 MO = 28 FeO 
 12 R 2 O 3 =9.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 
 
 Zirmsee 
 
 108 
 
 29MO-2(6Fe 2 3 -10Si0 2 ) 
 32H 2 O 
 
 29 M0 = 20 FeO 7 MgO 2 MnO 
 
 Cron- 
 stedtite 
 
 Pfibram 
 
 109 
 
 29MO-2(6Fe 2 3 -10Si0 2 ) 
 32 H 2 O 
 
 
 
 > 
 
 > 
 
 110 
 
 30MO-2(6R 2 3 -10Si0 2 ) 
 28 H 2 O 
 
 30 MO = 23 MgO 6 FeO 1 MnO 
 12R 2 O 3 =10.5A1 2 O 3 - 1.5Fe 2 O 3 
 
 Klementite 
 
 Vielsalm 
 
 111 
 
 30 MO 2(6A1 2 3 10 SiO 2 ) 
 32 H 2 O 
 
 30 MO = 27.5 FeO -1 MgO 
 1 Na 2 O 0.5 MnO 
 
 Daphnite 
 
 Penzance 
 
 112 
 
 30MO-2(6R 2 3 -10Si0 2 ) 
 32 H 2 O 
 
 30 MO = 21. 5 FeO 8.5 MgO 
 12 R 2 O 3 =11 A1 2 O 3 1 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Diillen 
 
 113 
 
 30MO-2(6Fe 2 3 -10Si0 2 ) 
 38 H 2 
 
 30 MO = 23 FeO 6 MgO 1 MnO 
 
 Cron- 
 stedtite 
 
 Pfibram 
 
 114 
 
 34 MO- 2(6 R 2 8 -10810,) 
 32H 2 
 
 34 MO = 22 MgO- 12 FeO 
 12 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Washing- 
 ton, D.C. 
 
 115 
 
 36MO-2(6R 2 O 3 -10SiO 2 ) 
 28H 2 
 
 36 MO = 15.5 MgO 16 FeO 0.5 MnO 
 12 R 2 O 3 = 10.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 M 
 
 Steeles 
 Mount, N.C. 
 
THE ORTHOCHLORITE GROUP 
 
 or the general formula 
 
 m MO 2 (6 R 2 O 3 6 Si0 2 ) n H 2 0. 
 
 395 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 0, 
 
 Fe 2 0, 
 
 Cr 2 0, 
 
 FeO |MnO 
 
 CaO 
 
 MgO 
 
 K a O 
 
 Na 2 
 
 H0 
 
 Total 
 
 Rosam 
 
 Theory 
 VI 
 
 16.62 
 17.34 
 
 
 
 44.32 
 43.05 
 
 
 
 29.92 
 30.27 
 
 0.16 
 
 
 
 
 
 
 
 
 
 9.14100.00 
 9.18100.00 
 
 or the general formula 
 
 m MO - 2 (6 R 2 3 10 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 S 
 
 FezOa 
 
 Cr 2 0, 
 
 FeO |MnO 
 
 CaO 
 
 MgO 
 
 K.O 
 
 Na,0 
 
 H 2 
 
 Total 
 
 Konig 
 
 Theory 
 CXXXIV 
 
 32.32 
 
 32.80 
 
 26.10 
 26.07 
 
 10.77 
 9.80 
 
 
 
 
 
 - 
 
 
 
 17.25 
 17.70 
 
 
 
 
 
 13.56 
 13.75 
 
 100.00 
 100.12 
 
 ?> 
 
 Theory 
 CXXXIII 
 
 31.29 
 31.35 
 
 21.27 
 21.58 
 
 16.67 
 14.17 
 
 
 
 ~ 
 
 
 
 z 
 
 16.68 
 16.67 
 
 
 
 
 
 14.09 
 14.45 
 
 100.00 
 
 98.22 
 
 Woitschach 
 
 Theory 
 V 
 
 27.01 
 27.06 
 
 19.52 
 19.56 
 
 12.60 
 11.71 
 
 - 
 
 29.17 
 
 28.91 
 
 ~ 
 
 0.63 
 0.38 
 
 1.35 
 1.18 
 
 ~ 
 
 
 
 9.72 
 9.73 
 
 100.00 
 98.53 
 
 Gintl 
 
 Theory 
 CXXXVIII 
 
 29.38 
 29.89 
 
 27.47 
 30.87 
 
 3.92 
 
 - 
 
 8.81 
 9.17 
 
 ~ 
 
 ~ 
 
 16.64 
 17.53 
 
 2.32 
 2.41 
 
 0.83 
 
 11.46 
 11.60 
 
 100.00 
 102.30 
 
 
 
 Theory 
 CXXXIX 
 
 29.38 
 29.90 
 
 27.47 
 27.59 
 
 3.92 
 3.12 
 
 
 
 8.81 
 9.17 
 
 ~ 
 
 
 
 16.64 
 17.10 
 
 2.32 
 2.33 
 
 0.58 
 
 11.46 
 11.51 
 
 100.00 
 101.30 
 
 Keyser 
 
 Theory 
 VI 
 
 23.98 
 23.21 
 
 16.31 
 15.59 
 
 12.79 
 13.89 
 
 - 
 
 34.53 
 34.51 
 
 ~ 
 
 0.36 
 
 1.60 
 1.26 
 
 0.08 
 
 0.41 
 
 10.79 
 10.59 
 
 100.00 
 99.97 
 
 Smith 
 
 Theory 
 III 
 
 23.98 
 23.55 
 
 16.31 
 15.63 
 
 12.79 
 13.79 
 
 - 
 
 34.53 
 34.20 
 
 ~ 
 
 z 
 
 1.60 
 1.47 
 
 ~ 
 
 
 
 10.79 
 10.57 
 
 100.00 
 99.21 
 
 
 
 Theory 
 VII 
 
 24.01 
 23.58 
 
 16.32 
 16.85 
 
 12.80 
 14.33 
 
 
 
 33.85 
 33.20 
 
 0.09 
 
 z 
 
 1.60 
 1.52 
 
 
 
 0.62 
 0.46 
 
 10.80 
 10.45 
 
 100.00 
 100.48 
 
 95 
 
 Theory 
 VIII 
 
 24.01 
 23.52 
 
 16.32 
 16.08 
 
 12.80 
 
 - 
 
 33.85 
 32.18 
 
 ~ 
 
 z 
 
 1.60 
 1.68 
 
 ~ 
 
 0.62 
 
 10.80 
 10.48 
 
 100.00 
 
 Ludwig 
 
 Theory 
 V 
 
 22.76 
 22.21 
 
 ~ 
 
 36.43 
 37.49 
 
 - 
 
 25.96 
 
 25.28 
 
 1.35 
 1.20 
 
 
 
 5.31 
 5.23 
 
 - 
 
 ~ 
 
 8.19 
 
 8.27 
 
 100.00 
 99.68 
 
 Smith 
 
 Theory 
 IX 
 
 23.77 
 23.70 
 
 16.17 
 16.54 
 
 12.68 
 12.13 
 
 - 
 
 33.29 
 33.14 
 
 1.41 
 1.16 
 
 
 
 1.98 
 1.85 
 
 0.32 (K. 
 
 O,Na 2 O) 
 
 10.70 
 10.90 
 
 100.00 
 99.74 
 
 Gintl 
 
 Theory 
 
 V 
 
 23.25 
 22.65 
 
 18.77 
 
 18.92 
 
 7.75 
 8.12 
 
 - 
 
 39.06 
 38.49 
 
 
 
 
 
 
 
 - 
 
 ~ 
 
 11.17 
 
 10.78 
 
 100.00 
 98.96 
 
 Steinmann 
 
 Theory 
 I 
 
 21.59 
 22.45 
 
 
 
 34.55 
 
 58.85 
 
 (Fe 2 O 3 +FeO) 
 
 25.91 
 
 2.55 
 2.89 
 
 
 
 5.04 
 5.08 
 
 
 
 
 
 10.37 
 10.70 
 
 100.00 
 99.97 
 
 Kobell 
 
 Theory 
 II 
 
 21.59 
 22.45 
 
 
 
 34.55 
 35.35 
 
 
 
 25.91 
 27.11 
 
 2,55 
 
 2.89 
 
 
 
 5.04 
 5.08 
 
 
 
 
 
 10.37 
 10.70 
 
 100.00 
 103.58 
 
 Klement 
 
 Theory 
 
 27.04 
 27.13 
 
 24.13 
 
 24.70 
 
 5.41 
 
 5.84 
 
 ~ 
 
 9.73 
 9.72 
 
 1.69 
 1.98 
 
 - 
 
 20.73 
 20.52 
 
 
 
 
 
 11.36 
 11.35 
 
 100.00 
 101.24 
 
 R.v.Zeynek 
 
 Theory 
 
 23.46 
 23.62 
 
 23.92 
 
 22.26 
 
 
 
 
 
 38.70 
 38.97 
 
 0.67 
 0.98 
 
 0.29 
 
 0.78 
 1.09 
 
 0.28 
 
 1.21 
 1.10 
 
 11.26 
 11.16 
 
 100.00 
 99.75 
 
 v. Giimbel 
 
 Theory 
 V ' 
 
 24.26 
 23.56 
 
 22.69 
 22.35 
 
 3.23 
 4.25 
 
 
 
 31.30 
 30.43 
 
 
 
 0.23 
 
 6.87 
 6.75 
 
 O.lOAlk 
 
 
 
 11.65 
 11.49 
 
 100.00 
 99.16 
 
 Janowsky 
 
 Theory 
 IV 
 
 20.78 
 21.30 
 
 
 
 33.26 
 32.34 
 
 
 
 28.70 
 29.23 
 
 1.23 
 1.25 
 
 
 
 4.15 
 4.51 
 
 
 
 __ 
 
 11.88 
 11.90 
 
 100.00 
 100.53 
 
 Clarke and 
 Schneider 
 
 Theory 
 CL 
 
 24.99 
 25.40 
 
 23.36 
 
 22.80 
 
 3.33 
 
 2.86 
 
 ~ 
 
 17.99 
 
 17.77 
 
 0.25 
 
 - 
 
 18.33 
 19.09 
 
 - 
 
 - 
 
 12.00 
 12.21 
 
 100.00 
 100.38 
 
 Genth 
 
 Theory 
 CLXI 
 
 24.78 
 24.90 
 
 22.12 
 21.77 
 
 4.96 
 4.60 
 
 ___ 
 
 23.79 
 24.21 
 
 1.14 
 1.15 
 
 - 
 
 12.81 
 
 12.78 
 
 - 
 
 ~ 
 
 10.40 
 10.59 
 
 100.00 
 100.00 
 
396 
 
 THE ORTHOCHLORITE GROUP 
 
 1 
 
 
 
 Source 
 
 116 
 
 36 MO 2 (6 R 2 O 3 
 
 10 SiO 2 ) 
 
 36 MO = 22 MgO 14 FeO 
 
 Orthochlorite 
 
 Lude 
 
 
 32 H 2 O 
 
 
 12 R 2 O 3 =11.5Al 2 O 3 -0.5Fe 2 O 3 
 
 ,, 
 
 
 117 
 
 36 MO 2 (6 R 2 O 3 
 
 10 SiO 2 ) 
 
 36 MO = 22 MgO 14 FeO 
 
 
 n 
 
 
 32 H 2 O 
 
 
 12 R a O a = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 118 
 
 37.MO-2(6R 2 <V 
 
 10 SiO 2 ) 
 
 37 MO = 25 MgO 12 FeO 
 
 M 
 
 Chester, 
 
 
 34 H 2 O 
 
 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 Mass. 
 
 119 
 
 38 MO 2 (6 A1 2 3 
 
 10 SiO 2 ) 
 
 38 MO = 28 MgO -10 FeO 
 
 w 
 
 
 
 
 32H 2 
 
 
 
 
 
 L. Orthochlorites of the type 
 Si R R Si = 6 R 2 3 12 Si0 2 
 
 
 
 
 
 Source 
 
 120 
 
 18MO-2(6R 2 O 3 - 12SiO 2 ) 
 28 H 2 O 
 
 18 MO = 15 MgO 2.5 K 2 O 0.5 Na 2 O 
 1 2 R 2 O 3 = 9 A1 2 O 3 3 Fe 2 O 8 
 
 Ortho- 
 chlorite 
 
 Culsagee Mine, 
 
 N.C. 
 
 121 
 
 24 MO 2(6R 2 O 3 12 SiO 2 ) 
 26H 2 O 
 
 24 MO = 18.5 FeO 5 MnO 0.5 CaO 
 12 R 2 O 3 =8.5 A1 2 O 3 - 3.5 Fe 2 O 3 
 
 Strigo- 
 vite 
 
 Striegau 
 
 122 
 
 25 MO 2 (6 R 2 O 3 12SiO 2 ) 
 24 H 2 O 
 
 25 MO = 10 FeO 10.5 MgO 3.5 CaO 
 1 Na 2 O; 12 R 2 O 3 =8 A1 2 O 3 4 Fe 2 O 3 
 
 Chloro- 
 pite 
 
 Weidesgriin 
 
 123 
 
 25MO-2(6R 2 O 3 -12Si0 2 ) 
 30 H 2 O 
 
 25 MO = 22 MgO - 2.5 FeO 0.5 CaO 
 12R 2 3 =7Al 2 3 -5Fe 2 O 3 
 
 Deles- 
 site 
 
 La Greve 
 bei Mielin 
 
 124 
 
 26MO-2(6R 2 O 3 -12Si0 2 ) 
 40H 2 
 
 26 MO = 22 FeO 2 MgO - 2 CaO 
 12 R 2 O 3 =11.5 A1 2 O 3 0.5 Fe 2 3 
 
 Ortho- 
 chlorite 
 
 Striegau 
 
 125 
 
 28MO-2(6R 2 3 12 SiO 2 ) 
 22 H 2 
 
 28 MO = 6.5 MgO 20 FeO 1 K 2 O 
 0.5 MnO; 12R 2 O 3 = 9 Al 2 O 3 -3Fe 2 O 3 
 
 
 
 Waldsassen 
 
 126 
 
 29MO-2(6R 2 3 -12Si0 3 ) 
 34H 2 
 
 29 MO = 18.5 MgO 10 FeO 0.5 CaO 
 12 R 2 O 3 = 9.6 A1 2 O 3 2.5 Fe 2 O 3 
 
 Delassite 
 
 Planitz bei 
 Zwickau 
 
 127 
 
 30MO-2(6R 2 3 -12Si0 2 ) 
 28H 2 
 
 30 MO = 17.5 FeO - 11.5MgO-0.5 K 2 O 
 0.5 Na 2 O; 12R 2 O 3 =7.5 Al 2 O 3 -4.5Fe 2 O 3 
 
 Chloro- 
 pite 
 
 Schwarzen- 
 bach 
 
 128 
 
 30MO-2(6R 2 3 -12Si0 2 ) 
 30 H 2 O 
 
 30MO = 9 FeO-18.5 MgO-1 CaO-1 Na 2 O 
 05 K 2 O; 12 R 2 O 3 = 7 A1 2 O 3 5 Fe a O 3 
 
 H 
 
 Lippertsgriin 
 
 129 
 
 30 MO 2 (6 A1 2 O 3 12 SiO 2 ) 
 32H 2 
 
 30 MO = 20 FeO 10 MgO 
 
 Ortho- 
 chlorite 
 
 Taszopatak 
 
 130 
 
 35 MO 2 (6 A1 2 O 3 12 SiO 2 ) 
 24 H 2 O 
 
 35 MO =33.5 FeO 1.5 MgO 
 
 Aphro- 
 siderite 
 
 Weilburg 
 
 131 
 
 36MO-2(6R 2 O 3 - 12SiO 2 ) 
 30 H 2 O 
 
 36 MO = 29.5 FeO 6.5 MgO 
 12 R 2 3 =10 A1 2 3 2 Fe 2 3 
 
 
 
 Striegau 
 
 132 
 
 36MO-2(6Al 2 3 -12Si0 2 ) 
 40 H 2 
 
 36 MO = 30 FeO -6 MgO 
 
 Chamo- 
 site 
 
 Windgallen 
 
 133 
 
 38MO-2(6R 2 3 -12SiO 2 ) 
 32 H 2 
 
 38 MO = 16 MgO -22 FeO 
 1 2 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Mutters- 
 hausen 
 
 134 
 
 38MO-2(6R 2 3 -12SiO 2 ) 
 32 H 2 
 
 38MO = 16MgO-22FeO 
 12R 2 3 = llAl 2 3 -lFe 2 3 
 
 
 
 Balduinstein 
 
 135 
 
 38MO-2(6R 2 3 -12Si0 2 ) 
 34 H 2 
 
 38 MO = 34 MgO -4 FeO 
 12R 2 3 =llAL0 3 -lFe 2 O 3 
 
 
 
 Unionville, 
 Pa. 
 
 136 
 
 38MO-2(6Ro0 3 -12Si0 2 ) 
 34 H 2 6 
 
 38 MO = 34 MgO -4 FeO 
 12R 2 3 = llAl 2 3 -lFe 2 O 3 
 
 
 
 > 
 
 137 
 
 38MO-2(6R 2 3 -12Si0 2 ) 
 34 H 2 
 
 38 MO = 31 FeO 6.5 MgO 0.5 CaO 
 12 R 2 O 3 = 10 A1 2 O 3 2 Fe 2 O 3 
 
 Meta- 
 chlorite 
 
 Bvichenberge 
 b. Elbingerode 
 
THE ORTHOCHLORITE GROUP 
 
 397 
 
 Analyst 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 8 1 Cr 2 O, 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na a O 
 
 H 2 O 
 
 Total 
 
 Heddle 
 
 Theory 
 LXXIII 
 
 24.40 
 23.92 
 
 23.86 
 22.98 
 
 1.62 
 1.11 
 
 ~ 
 
 20.50 
 19.54 
 
 0.28 
 
 2.45 
 
 17.90 
 17.26 
 
 
 ~ 
 
 11.72 
 11.78 
 
 100.00 
 99.32 
 
 
 
 Theory 
 LXXIV 
 
 24.40 
 24.66 
 
 23.86 
 23.19 
 
 1.62 
 0.64 
 
 
 
 20.50 
 
 20.58 
 
 0.29 
 
 0.40 
 
 17.90 
 17.79 
 
 
 
 
 
 11.72 
 12.12 
 
 100.00 
 99.67 
 
 Obermayer 
 
 Theory 
 CXXIII 
 
 24.35 
 23.84 
 
 23.80 
 25.22 
 
 1.62 
 2.81 
 
 
 
 17.53 
 17.06 
 
 
 
 
 
 20.29 
 19.83 
 
 
 
 
 
 12.41 
 11.90 
 
 100.00 
 100.66 
 
 Pasani 
 
 Theory 
 CXXI 
 
 24.79 
 24.00 
 
 25.29 
 25.90 
 
 ~ 
 
 z 
 
 14.88 
 14.80 
 
 
 
 
 
 23.14 
 
 22.70 
 
 
 ~ 
 
 11.90 
 11.90 
 
 100.00 
 99.30 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 12 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO, | AljOs | Fe 2 8 | Cr 2 O, 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na,0 | H 2 | Total , 
 
 Chatard 
 
 Theory 
 
 34.32 
 
 21.81 
 
 11.41 
 
 
 
 
 
 
 
 
 
 14.26 
 
 5.58 
 
 0.74 
 
 11.98 
 
 100.00 
 
 
 CLVII 
 
 34.22 
 
 21.53 
 
 12.41 
 
 
 
 .12(Ni.Co)o 
 
 
 
 14.46 
 
 5.70 
 
 0.51 
 
 11.85 
 
 100.80 
 
 Websky 
 
 Theory 
 
 28.53 
 
 17.17 
 
 11.09 
 
 
 
 26.39 
 
 6.99 
 
 0.55 
 
 
 
 
 
 
 
 9.28 
 
 100.00 
 
 
 I 
 
 28.43 
 
 16.60 
 
 11.43 
 
 
 
 26.21 
 
 7.25 
 
 0.37 
 
 0.36 
 
 
 
 
 
 9.31 
 
 99.96 
 
 Loretz 
 
 Theory 
 
 30.46 
 
 17.26 
 
 13.54 
 
 
 
 15.24 
 
 
 
 4.16 
 
 8.89 
 
 
 
 1.31 
 
 9.14 
 
 100.00 
 
 
 II 
 
 30.56 
 
 16.57 
 
 13.02 
 
 
 
 15.51 
 
 
 
 4.14 
 
 8.97 
 
 0.36 
 
 1.18 
 
 1 9.08 
 
 99.39 
 
 (Delesse 
 
 Theory 
 
 31.43 
 
 15.58 
 
 17.46 
 
 
 
 3.93 
 
 
 
 0.60 
 
 19.21 
 
 
 
 
 
 11.79 
 
 100.00 
 
 
 I 
 
 31.07 
 
 15.47 
 
 17.54 
 
 
 
 4.07 
 
 
 
 0.46 
 
 19.14 
 
 
 
 
 
 11.55 
 
 99.30 
 
 Traube 
 
 Theory 
 
 27.75 
 
 22.61 
 
 
 
 1.54 
 
 30.52 
 
 
 
 2.15 
 
 1.54 
 
 
 
 
 
 13.89 
 
 100.00 
 
 
 X 
 
 27.12 
 
 22.40 
 
 
 
 2.13 
 
 30.19 
 
 
 
 2.23 
 
 1.54 
 
 
 
 
 
 13.45 
 
 99.06 
 
 v. Giimbel 
 
 Theory 
 
 27.99 
 
 19.41 
 
 9.33 
 
 
 
 27.99 
 
 0.69 
 
 
 
 5.05 
 
 1.83 
 
 
 
 7.71 
 
 100.00 
 
 
 IV 
 
 27.50 
 
 18.15 
 
 10.80 
 
 
 
 28.02 
 
 0.60 
 
 
 
 5.13 
 
 1.66 
 
 0.44 
 
 7.50 
 
 99.80 
 
 Delesse 
 
 Theory 
 
 29.33 
 
 19.74 
 
 8.14 
 
 
 
 14.67 
 
 
 
 0.57 
 
 15.07 
 
 
 
 
 
 12.48 
 
 100.00 
 
 
 III 
 
 29.45 
 
 18.25 
 
 8.17 
 
 
 
 15.12 
 
 
 
 0.45 
 
 15.32 
 
 
 
 
 
 12.57 
 
 99.33 
 
 1 Loretz 
 
 Theory 
 
 27.55 
 
 14.63 
 
 13.77 
 
 
 
 24.12 
 
 
 
 
 
 8.80 
 
 0.90 
 
 0.59 
 
 9.64 
 
 100-00 
 
 
 I 
 
 27.10 
 
 14.64 
 
 14.80 
 
 
 
 23.85 
 
 
 
 
 
 8.78 
 
 0.52 
 
 0.56 
 
 9.69 
 
 99.94 
 
 
 
 Theory 
 
 28.44 
 
 14.10 
 
 15.80 
 
 
 
 12.80 
 
 
 
 1.10 
 
 14.64 
 
 0.92 
 
 1.22 
 
 10.98 
 
 100.00 
 
 
 III 
 
 29.10 
 
 14.31 
 
 14.87 
 
 
 
 13.27 
 
 
 
 1.00 
 
 15.08 
 
 0.60 
 
 1.09 
 
 10.77 
 
 100.09 
 
 K. v. Hauer 
 
 Theory 
 
 28.35 
 
 24.10 
 
 
 
 
 
 28.35 
 
 
 
 
 
 7.87 
 
 _^_ 
 
 
 
 11.33 
 
 100.00 
 
 
 XVII 
 
 28.02 
 
 23.84 
 
 
 
 
 
 28.60 
 
 
 
 
 
 8.09 
 
 
 
 
 
 11.45 
 
 100.00 
 
 Sandberger 
 
 Theory 
 
 25.86 
 
 21.98 
 
 
 
 
 
 43.32 
 
 
 
 
 
 1.08 
 
 
 
 
 
 7.76 
 
 100.00 
 
 
 I 
 
 26.45 
 
 21.25 
 
 
 
 
 
 44.24 
 
 
 
 
 
 1.06 
 
 
 
 
 
 7.74 
 
 100.74 
 
 Rammelsberg 
 
 Theory 
 
 25.24 
 
 17.88 
 
 5.61 
 
 
 
 37.24 
 
 
 
 
 
 4.56 
 
 
 
 
 
 9.47 
 
 100.00 
 
 
 IV 
 
 24.78 
 
 18.69 
 
 6.45 
 
 
 
 36.17 
 
 Trace 
 
 
 
 4.52 
 
 
 
 
 
 9.09 
 
 99.70 
 
 C. Schmidt 
 
 Theory 
 
 24.90 
 
 21.16 
 
 
 
 
 
 37.35 
 
 
 
 
 
 4.14 
 
 
 
 
 
 12.45 
 
 100.00 
 
 
 II 
 
 25.23 
 
 19.97 
 
 
 
 
 
 37.51 
 
 
 
 
 
 4.39 
 
 
 
 
 
 12.90 
 
 100.00 
 
 Erlenmeyer 
 
 Theory 
 
 26.07 
 
 20.32 
 
 2.90 
 
 
 
 28.69 
 
 
 
 
 
 11.59 
 
 
 
 
 
 10.43 
 
 100.00 
 
 
 VI 
 
 25.72 
 
 20.69 
 
 4.01 
 
 
 
 27.79 
 
 
 
 
 
 11.70 
 
 
 
 
 
 10.05 
 
 99.96 
 
 ff 
 
 Theory 
 
 26.07 
 
 20.32 
 
 2.90 
 
 
 
 28.69 
 
 
 
 
 
 11.59 
 
 
 
 
 
 10.43 
 
 100.00 
 
 
 VII 
 
 25.99 
 
 
 
 4.13 
 
 
 
 27.60 
 
 
 
 
 
 11.93 
 
 
 
 
 
 10.13 
 
 
 
 Chatard 
 
 Theory 
 
 28.68 
 
 22.35 
 
 3.13 
 
 
 
 5.75 
 
 
 
 
 
 27.90 
 
 
 
 
 
 12.19 
 
 100.00 
 
 
 cxxxv 
 
 29.43 
 
 22.0 
 
 I A" 
 
 
 
 5.64 
 
 
 
 
 
 28.46 
 
 
 
 
 
 12.40 
 
 99.42 
 
 
 
 Theory 
 
 28.68 
 
 22.35 
 
 3.13 
 
 
 
 5.75 
 
 
 
 
 
 27.90 
 
 
 
 
 
 12.19 
 
 100.00 
 
 
 CXXXVI 
 
 29.59 
 
 22.1 
 
 1.33 
 
 
 
 5.77 
 
 
 
 
 
 28.54 
 
 
 
 
 
 12.40 
 
 99.81 
 
 Zeynek 
 
 Theory 
 
 24.36 
 
 17.2 
 
 5.4 
 
 
 
 37.75 
 
 
 
 0.47 
 
 4.40 
 
 
 
 
 
 10.36 
 
 100.00 
 
 
 II 
 
 24.2S 
 
 17.8 
 
 4.6-J 
 
 
 
 37.85 
 
 
 
 0.57 
 
 4.26 
 
 0.09 
 
 0.30 
 
 10.19 
 
 100.04 
 
398 
 
 THE ORTHOCHLORITE GROUP 
 
 1 
 
 
 
 Source 
 
 138 
 
 39 MO 2 (6 A1 2 O 3 12 SiO 2 ) 
 30H 2 O 
 
 39 MO = 25 FeO- 14MgO 
 
 Ortho- 
 chlorite 
 
 Grabener 
 Wiesen 
 
 139 
 
 39MO-2(6R 2 O 3 -12SiO 2 ) 
 34 H 2 O 
 
 39 MO = 25 MgO- 12 FeO- 1 K 2 O 
 1 Na 2 O; 12 R 2 O 3 = 10.5Al 2 O 3 -1.5Fe 2 O 3 
 
 
 
 Fuschertal 
 
 140 
 
 39 MO 2 (6 R 2 O 3 12 SiO 2 ) 
 36 H 2 O 
 
 39 MO - 19 MgO 20 FeO 
 12 R 2 O 3 = 10.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 H 
 
 Zillerthal 
 
 141 
 
 39 MO 2 (6 Fe 2 O 3 12SiO 2 ) 
 36 H 2 O 
 
 39 MO = 31. 5 FeO -6.5 MgO- 1 MnO 
 
 Cronsted 
 tite 
 
 Pfibram 
 
 142 
 
 40MO-2(6R 2 3 -12Si0 2 ) 
 36 H 2 
 
 40 MO = 19 MgO -21 FeO 
 1 2 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Zillertal 
 
 143 
 
 41MO-2(6R 2 O 3 -12SiO 2 ) 
 40 H 2 
 
 41 MO = 37 MgO -4 FeO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 Culsagee Mine, 
 N.C. 
 
 144 
 
 41MO-2(6R 2 O 3 - 12SiO 2 ) 
 40 H 2 O 
 
 41 MO = 37 MgO -4 FeO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 n 
 
 M 
 
 145 
 
 41MO-2(6R 2 O 3 -12SiO 2 ) 
 40 H 2 O 
 
 41 MO = 37 MgO -4 FeO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 " 
 
 146 
 
 42MO-2(6Al 2 3 -12Si0 2 ) 
 36 H 2 
 
 42 MO = 21 FeO 19 MgO 1 K 2 O 
 0.5 MnO 0.5 CaO 
 
 f> 
 
 Ben Derag 
 
 147 
 
 42MO-2(6R 2 3 -12Si0 2 ) 
 38 H 2 
 
 42 MO = 26 MgO -16 FeO 
 12 R 2 O 8 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 H 
 
 Aacherkoppe 
 
 148 
 
 43 MO 2 (6 R 2 O 3 12SiO 2 ) 
 34H 2 
 
 43 MO = 25 MgO -18 FeO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 H 
 
 St. Gotthard 
 
 149 
 
 43MO-2(6R 2 O 3 - 12SiO 2 ) 
 34 H 2 O 
 
 43 MO = 32 MgO 10.5 FeO 0.5 MnO 
 12R 2 O 3 = llAl 2 3 -lFe 2 3 
 
 
 
 Portsoy 
 
 150 
 
 43MO-2(6Al 2 O 3 -12SiO 2 ) 
 36 H 2 O 
 
 43MO = 32MgO-llFeO 
 
 
 
 Zillertal 
 
 151 
 
 43MO-2(6A1 2 O 3 -12 SiO 2 ) 
 36 H 2 O 
 
 > 
 
 M 
 
 > 
 
 152 
 
 43 MO 2 (6 R 2 O 3 12SiO 2 ) 
 38H 2 O 
 
 43 MO = 22 MgO 20 FeO 1 CaO 
 12 R 2 O 3 = 1 1.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 n 
 
 Massa- 
 schlucht 
 
 153 
 
 43 MO 2 (6 R 2 O 3 12 SiO 2 ) 
 40 H 2 O 
 
 43 MO = 19.5 MgO 22 FeO 1 CaO 
 0.5MnO;12R 2 O 3 = 11.5Al 2 O 3 -0.5Fe 2 O 3 
 
 M 
 
 Girdleness 
 
 154 
 
 44 MO 2 (6 R 2 O 3 12 SiO 2 ) 
 30 H 2 O 
 
 44 MO = 22 MgO 22 FeO 
 12R 2 O 3 = 11.5Al 2 O 3 -0.5Fe 2 O 3 
 
 
 
 ZiUertal 
 
 155 
 
 44MO-2(6Al 2 3 -12Si0 2 ) 
 34H 2 
 
 44 MO = 40 MgO -4 FeO 
 
 H 
 
 Grochau 
 
 156 
 
 46MO-2(6Al 2 O 3 -12SiO 2 ) 
 24H 2 ' 
 
 46 MO = 20.5 MgO 25.5 FeO 
 
 M 
 
 Guistberg 
 
 157 
 
 48 MO 2 (6 R 2 O 3 12 SiO 2 ) 
 38 H 2 O 
 
 48 MO = 33 MgO 14 FeO 0.5 MnO 
 O.SCaO; 12R 2 O 3 =11.5 Al 2 O 3 -0.5Fe 2 O 3 
 
 n 
 
 Fethaland 
 
 158 
 
 51MO-2(6A1 2 O 3 - 12SiO 2 ) 
 32H 2 O 
 
 51MO = 31MgO-16FeO-2CaO-lK 2 O 
 0.5 MnO 0.5 Na 2 O 
 
 
 
 Craig an 
 Lochan 
 
 M. Orthochlorites of the type 
 Si R S A i R Si = 6 R 2 3 16 Si0 2 
 
 
 
 
 
 Source 
 
 159 
 160 
 
 32 MO- 
 41 MO 
 
 2 (6 R 2 a 
 36H 2 O 
 
 2(6R 2 O a 
 52H 2 O 
 
 16 Si0 2 ) 
 16Si0 2 ) 
 
 32 MO = 30 MgO -2 FeO 
 12 R 2 O 3 = 6.5 A1 2 O 3 1 Fe 2 O 3 -4.5Cr 2 O 3 
 
 41 MO = 29.5 MgO 10 FeO 1.5 CaO 
 12 R a O,= 11.5 A1 2 O 3 - 0.5 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Delessite 
 
 Norrbotten 
 Dumbuek 
 
THE ORTHOCHLORITE GROUP 
 
 399 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 0, 
 
 Cr 2 3 
 
 FeO 
 
 MnO 
 
 CaO | MgO 
 
 K,0 
 
 NajO 
 
 H,o 
 
 Total 
 
 K. v. 
 
 Theory 
 
 25.82 
 
 21.93 
 
 
 
 
 
 32.26 
 
 
 
 
 
 10.03 
 
 
 
 
 
 9.96 
 
 100.00 
 
 Hauer 
 
 XVIII 
 
 26.08 
 
 20.27 
 
 
 
 
 
 32.91 
 
 
 
 
 
 10.00 
 
 
 
 
 
 10.06 
 
 99.32 
 
 Vuylsteke 
 
 Theory 
 
 26.75 
 
 19.89 
 
 4.46 
 
 
 
 16.06 
 
 
 
 
 
 18.57 
 
 1.74 
 
 1.15 
 
 11.38 
 
 100.00 
 
 
 XIX 
 
 27.03 
 
 20.07 
 
 4.72 
 
 
 
 16.47 
 
 
 
 18.90 
 
 1.22 
 
 0.72 
 
 11.78 
 
 100.91 
 
 Klement 
 
 Theory 
 
 25.72 
 
 19.13 
 
 4.29 
 
 . 
 
 25.72 
 
 
 
 
 
 13.58 
 
 
 
 
 
 11.56 
 
 100.00 
 
 
 XXIX 
 
 25.84 
 
 19.58 
 
 4.42 
 
 
 
 25.99 
 
 
 
 
 
 13.57 
 
 
 
 
 
 11.34 
 
 100.74 
 
 D amour 
 
 Theory 
 
 21.89 
 
 
 
 29.06 
 
 
 
 34.33 
 
 1.07 
 
 
 
 3.93 
 
 
 
 
 
 9.81 
 
 100.00 
 
 
 III 
 
 21.39 
 
 
 29.08 
 
 
 
 33.52 
 
 1.01 
 
 
 
 4.02 
 
 
 
 
 
 9.76 
 
 98.78 
 
 Klement 
 
 Theory 
 
 25.52 
 
 19.89 
 
 2.84 
 
 
 
 26.80 
 
 
 
 
 
 13.46 
 
 
 
 
 
 11.49 
 
 100.00 
 
 
 XXX 
 
 25.84 
 
 19.58 
 
 2.13 
 
 
 
 28.05 
 
 
 
 
 
 13.57 
 
 
 
 
 
 11.34 
 
 100.51 
 
 Genth 
 
 Theory 
 
 27.79 
 
 22.64 
 
 1.55 
 
 
 
 5.56 
 
 
 
 
 
 28.56 
 
 
 
 
 
 13.90 
 
 100.00 
 
 
 CLIII 
 
 27.56 
 
 22.75 
 
 2.56 
 
 
 
 5.43 
 
 
 
 
 
 28.47 
 
 0.30(Mn,Ni,Co)0 
 
 13.80 
 
 100.87 
 
 Chatard 
 
 Theory 
 
 27.79 
 
 22.64 
 
 1.55 
 
 
 
 5.56 
 
 __ 
 
 , 
 
 28.56 
 
 
 
 
 
 13.90 
 
 100.00 
 
 
 CLIV 
 
 27.28 
 
 22.11 
 
 2.50 
 
 
 
 5.43 
 
 
 
 
 
 28.38 
 
 0.41 (Mn, Ni, Co)O 
 
 14.50 
 
 100.57 
 
 
 
 Theory 
 
 27.79 
 
 22.64 
 
 1.55 
 
 
 
 5.56 
 
 
 
 
 
 28.56 
 
 
 
 
 
 13.90 
 
 100.00 
 
 
 CLV 
 
 27.17 
 
 22.35 
 
 2.71 
 
 
 
 5.43 
 
 
 
 
 
 27.73 
 
 0.26 (Mn, Ni, Co)O 
 
 14.36 
 
 100.00 
 
 Heddle 
 
 Theory 
 
 25.11 
 
 21.34 
 
 
 
 
 
 26.35 
 
 0.62 
 
 0.40 
 
 13.25 
 
 1.63 
 
 
 
 11.30 
 
 100.00 
 
 
 LXXI 
 
 24.72 
 
 21.57 
 
 0.62 
 
 
 
 26.16 
 
 0.47 
 
 0.45 
 
 12.86 
 
 1.73 
 
 0.05 
 
 10.89 
 
 99.52 
 
 Jacobs 
 
 Theory 
 
 25.86 
 
 21.07 
 
 1.43 
 
 
 
 20.68 
 
 
 
 
 
 18.68 
 
 
 
 
 
 12.28 
 
 100.00 
 
 
 VIII 
 
 25.53 
 
 20.49 
 
 1.68 
 
 0.08 
 
 20.85 
 
 0.15TiO 2 
 
 0.06 
 
 18.60 
 
 0.07 
 
 0.09 
 
 12.26 
 
 99.86 
 
 Rammels- 
 
 Theory 
 
 25.71 
 
 20.95 
 
 1.43 
 
 P 2 5 
 
 23.14 
 
 
 
 
 
 17.85 
 
 
 
 
 
 10.92 
 
 100.00 
 
 berg 
 
 XXXIV 
 
 25.12 
 
 22.26 
 
 1.09 
 
 
 23.11 
 
 
 
 
 
 17.41 
 
 
 
 
 
 10.70 
 
 99.69 
 
 Heddle 
 
 Theory 
 
 26.59 
 
 20.72 
 
 2.95 
 
 
 
 13.96 
 
 0.83 
 
 
 
 23.64 
 
 
 
 
 
 11.31 
 
 100.00 
 
 
 LXXVI 
 
 26.71 
 
 20.42 
 
 3.47 
 
 
 
 13.99 
 
 0.73 
 
 
 
 23.90 
 
 
 
 
 
 11.17 
 
 100.39 
 
 Kobell 
 
 Theory 
 
 26.74 
 
 22.72 
 
 
 
 
 
 14.71 
 
 
 
 
 
 23.77 
 
 
 
 
 
 12.06 
 
 100.00 
 
 
 XXVI 
 
 26.51 
 
 21.81 
 
 
 
 
 
 15.00 
 
 
 
 
 22.83 
 
 
 
 
 
 12.00 
 
 98.15 
 
 n 
 
 Theory 
 
 26.74 
 
 22.72 
 
 
 
 
 
 14.71 
 
 
 
 
 
 23.77 
 
 
 
 
 
 12.06 
 
 100.00 
 
 
 XXVII 
 
 27.32 
 
 20.69 
 
 
 
 
 15.23 
 
 0.47 
 
 
 
 24.89 
 
 
 
 
 
 12.00 
 
 100.60 
 
 Fellen- 
 
 Theory 
 
 25.03 
 
 20.39 
 
 1.39 
 
 ^_ 
 
 25.03 
 
 
 
 0.97 
 
 15.29 
 
 
 
 
 
 11.90 
 
 100.00 
 
 berg 
 
 XXXV 
 
 24.85 
 
 20.70 
 
 1.00 
 
 
 
 25.00 
 
 
 
 0.60 
 
 15.31 
 
 0.45 Ti0 2 
 
 12.05 
 
 99.96 
 
 Heddle 
 
 Theory 
 
 24.53 
 
 19.97 
 
 1.36 
 
 
 
 27.04 
 
 0.60 
 
 0.95 
 
 13.28 
 
 __ 
 
 
 
 12.27 
 
 100.00 
 
 
 LXXVII 
 
 24.77 
 
 20.16 
 
 1.38 
 
 
 
 27.38 
 
 0.61 
 
 0.90 
 
 13.34 
 
 
 
 
 
 12.05 
 
 100.59 
 
 Egger 
 
 Theory 
 
 25.28 
 
 20.59 
 
 1.42 
 
 
 
 27.80 
 
 
 
 
 
 15.45 
 
 
 
 
 
 9.48 
 
 100.00 
 
 
 XXVIII 
 
 26.02 
 
 20.16 
 
 1.07 
 
 
 
 28.08 
 
 
 
 0.44 
 
 15.50 
 
 
 
 
 
 9.65 
 
 100.92 
 
 Bock 
 
 Theory 
 
 27.88 
 
 23.70 
 
 
 
 
 
 5.58 
 
 
 
 
 
 30.99 
 
 
 
 
 
 11.85 
 
 100.00 
 
 
 IX 
 
 28.20 
 
 24.56 
 
 
 
 
 
 5.27 
 
 
 
 
 
 30.94 
 
 
 
 
 
 12.15 
 
 101.12 
 
 Igelstrom 
 
 Theory 
 
 25.03 
 
 21.28 
 
 
 
 
 
 31.92 
 
 
 
 
 
 14.25 
 
 
 
 
 
 7.52 
 
 100.00 
 
 
 LXXXIII 
 
 25.00 
 
 20.60 
 
 
 
 
 
 32.00 
 
 
 
 
 
 14.30 
 
 
 
 
 
 7.60 
 
 99.50 
 
 Heddle 
 
 Theory 
 
 24.96 
 
 20.33 
 
 1.39 
 
 
 
 17.48 
 
 0.61 
 
 0.49 
 
 22.88 
 
 
 
 
 
 11.86 
 
 100.00 
 
 
 LXX 
 
 24.30 
 
 20.86 
 
 3.57 
 
 
 
 16.72 
 
 0.55 
 
 0.50 
 
 22.20 
 
 
 
 
 
 11.55 
 
 100.25 
 
 
 Theory 
 
 24.39 
 
 20.73 
 
 
 
 __ 
 
 19.51 
 
 0.59 
 
 1.96 
 
 21.00 
 
 1.59 
 
 0.52 
 
 9.77 
 
 100.00 
 
 
 LXXII 
 
 24.29 
 
 21.15 
 
 0.10 
 
 
 
 18.74 
 
 0.80 
 
 1.66 
 
 21.03 
 
 1.29 
 
 0.56 
 
 10.08 
 
 99.70 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 16 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 SiO a 
 
 AljO, 
 
 Fe s O, 
 
 Cr a O s 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,o 
 
 Na,0 
 
 H,O 
 
 Total 
 
 Sanderson 
 
 Theory 
 LXXXVII 
 
 35.42 
 34.49 
 
 12.23 
 12.40 
 
 2.95 
 3.14 
 
 12.64 
 13.46 
 
 2.66 
 3.28 
 
 
 
 z 
 
 22.14 
 21.83 
 
 __ 
 
 
 
 11.96 
 11.85 
 
 100.00 
 100.45 
 
 Heddle 
 
 Theory 
 VII 
 
 31.52 
 32.01 
 
 19.25 
 
 18.87 
 
 1.31 
 1.18 
 
 
 
 11.82 
 12.09 
 
 Trace 
 
 1.37 
 1.39 
 
 19.36 
 19.64 
 
 - 
 
 - 
 
 15.37 
 15.46 
 
 100.00 
 100.64 
 
400 
 
 THE ORTHOCHLORITE GROUP 
 
 
 
 
 
 Source 
 
 161 
 
 48 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 48 MO = 43 MgO -5 FeO 
 
 Ortho- 
 
 Brosso 
 
 
 32 H 2 O 
 
 
 chlorite 
 
 
 162 
 
 48MO-2(6RoO 3 -16SiO 2 ) 
 
 48 MO = 48 MgO 
 
 > 
 
 Westchester, 
 
 
 40 H 2 6 
 
 12R 2 O 3 =10Al 2 O 3 -1.5Fe 2 O 3 -0.5Cr 2 O 3 
 
 
 Pa. 
 
 163 
 
 48MO-2(6R 2 O 3 -16SiO 2 ) 
 
 48 MO = 48 MgO 
 
 
 
 t 
 
 
 40H 2 
 
 12 R 2 O 3 = 10 A1 2 O 3 -1.5 Fe 2 O 3 -0.5 Cr 2 O 3 
 
 
 
 164 
 
 49MO-2(6R 2 O 3 -16SiO 2 ) 
 
 49 MO = 47 MgO -2 FeO 
 
 
 
 Zoutpansberge 
 
 
 46H 2 
 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 165 
 
 51MO-2(6R 2 O 3 -16Si0 2 ) 
 -40H 2 
 
 51 MO = 26 MgO 21 FeO 4 MnO 
 12 R 2 O 3 =9.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 " 
 
 Dannemora 
 
 166 
 
 51MO-2(6R 2 O 3 -16SiO 2 ) 
 
 51 M0 = 26 MgO 21 FeO 4 MnO 
 
 J? 
 
 
 
 
 40H 2 
 
 12 R 2 O 3 =9.5 A1 2 O 3 2.5 Fe 2 O 3 
 
 
 
 167 
 
 52 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 52 MO = 23 MgO 29 FeO 
 
 
 
 St. Christophe 
 
 
 44 H 2 O 
 
 
 
 
 168 
 
 53 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 53 MO = 46 MgO -7 FeO 
 
 > 
 
 Blair Athol 
 
 
 46 H 2 O 
 
 
 
 
 169 
 
 53MO-2(6R 2 3 -16Si0 2 ) 
 
 53 MO=52.5 MgO 0.5 FeO 
 
 >? 
 
 Achmatowsk 
 
 
 - 46 H 2 O 
 
 12 R 2 O 3 = 11 A1 2 O 3 1 Fe 2 O 3 
 
 
 
 170 
 
 55 MO 2 (6 R 2 O 3 16 SiO 2 ) 
 
 55 MO = 51 MgO 2 FeO 2 Na 2 O 
 
 5> 
 
 Westchester, 
 
 
 50H 2 
 
 12 R 2 O 3 = 11 Al 2 O 3 -0.5Fe 2 O 3 -0.5Cr 2 O 3 
 
 
 Pa 
 
 171 
 
 55 MO 2 (6 R 2 O 3 16 SiO 2 ) 
 
 55 MO =52 MgO 2 FeO 1 CaO 
 
 > 
 
 > 
 
 
 40 H 2 
 
 12 R 2 O 3 = 11 Al 2 O 3 -0.5Fe 2 O 3 -0.5 Cr 2 O 3 
 
 
 
 172 
 
 55MO-2(6R 2 O 3 -16SiO 2 ) 
 
 55 MO = 53 MgO -2 FeO 
 
 f 
 
 )f 
 
 
 48 H 2 O 
 
 12 R 2 O 3 =9 A1 2 O 3 2 Fe 2 O 3 1 Cr 2 O 3 
 
 
 
 173 
 
 56 MO 2 (6 R 2 O 3 16 SiO 2 ) 
 
 56 MO = 53 MgO -3 FeO 
 
 ?> 
 
 Itkul Sea 
 
 
 42 H 2 
 
 12 R 2 3 = 10 A1 2 3 2 Cr 2 3 
 
 
 
 174 
 
 56 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 56 MO = 54 MgO -2 FeO 
 
 ff 
 
 Schischimsker 
 
 
 44H 2 
 
 
 
 Berge 
 
 175 
 
 56MO-2(6Al 2 O 3 -16Si0 2 ) 
 
 56 MO =54 MgO -2 FeO 
 
 
 
 5 
 
 
 44H 2 
 
 
 
 
 176 
 
 56 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 j> 
 
 
 
 )} 
 
 
 44H 2 
 
 
 
 
 177 
 
 58 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 58 MO = 29 MgO-29 FeO 
 
 > 
 
 Glacier d'Ar- 
 
 
 40 H 2 O 
 
 
 
 gentieres 
 
 178 
 
 58 MO 2 (6 R 2 O 3 16 SiO 2 ) 
 
 58 MO = 58 MgO 
 
 n 
 
 FluB Iremel 
 
 
 42 H 2 O 
 
 12 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 
 
 179 
 
 61 MO 2 (6 A1 2 O 3 16 SiO 2 ) 
 
 61 MO = 54 MgO 3.5 FeO 2 CaO 
 
 tt 
 
 Texas, Pa. 
 
 
 52 H 2 O 
 
 1.5K 2 
 
 
 
 N. Orthochlorites of the type 
 Si R Si R Si = 6 R 2 O 3 18 Si0 2 
 
 
 
 
 
 Source 
 
 180 
 181 
 
 182 
 
 18MO- 
 23 MO- 
 36 MO- 
 
 2 (6 R 2 3 
 42H 2 O 
 
 2 (6 R 2 3 
 34H 2 O 
 
 2 (6 A1 2 O 3 
 26H 2 O 
 
 18 SiO 2 ) 
 18 SiO 2 ) 
 18 SiO 2 ) 
 
 18 MO = 10.5 MgO 4.5 CaO 3 FeO 
 12R 2 3 = 7Fe 2 3 -5Al 2 3 
 
 23MO = 21,5FeO-1.5Na 2 
 12 R 2 O 3 =9 Fe 2 O 3 3 A1 2 O 3 
 
 36 MO = 20 MgO -16 FeO 
 
 Hullite 
 
 Melano- 
 lite 
 
 Epi- 
 phanite 
 
 Carnmoney 
 Hill 
 Milk-Row 
 Quarry, Mass. 
 Wermland 
 
THE ORTHOCHLORITE GROUP 
 
 401 
 
 Analyst 
 
 
 Si0 2 
 
 Al,o, 
 
 Fe 2 3 
 
 Cr 2 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na 2 O 
 
 H0 
 
 Total 
 
 Damour 
 
 Theory 
 
 33.10 
 
 21.10 
 
 
 
 
 
 6.21 
 
 
 
 
 
 29.64 
 
 
 
 _ 
 
 9.95 
 
 100.00 
 
 
 LVI 
 
 33.67 
 
 20.37 
 
 
 
 
 
 6.37 
 
 
 
 
 
 29.49 
 
 
 
 
 
 10.10 
 
 100.00 
 
 Graw 
 
 Theory 
 
 32.56 
 
 17.30 
 
 4.07 
 
 1.29 
 
 
 
 
 
 
 
 32.56 
 
 
 
 
 
 12.22 
 
 100.00 
 
 
 CXXVIII 
 
 nri 
 
 31.34 
 
 17.47 
 
 3.85 
 
 1.69 
 
 
 
 
 
 
 
 33.44 
 
 
 
 
 
 12.60 
 
 100.39 
 
 
 
 Theory 
 CXXIX 
 
 32.56 
 31.78 
 
 
 
 22.71 
 
 
 
 
 
 
 
 
 
 32.56 
 33.64 
 
 __ 
 
 
 
 12.22 
 12.60 
 
 100.00 
 100.73 
 
 Yvan Riesen 
 
 Theory 
 
 31.86 
 
 19.47 
 
 1.33 
 
 
 
 2.39 
 
 
 
 
 
 31.21 
 
 _ 
 
 
 
 13.74 
 
 100.00 
 
 
 cxv 
 
 32.38 
 
 18.79 
 
 0.80 
 
 
 
 2.39 
 
 
 
 
 
 31.64 
 
 
 
 
 
 14.15 
 
 100.15 
 
 Erdmann 
 
 Theory 
 
 28.05 
 
 14.15 
 
 5.84 
 
 
 
 22.09 
 
 4.15 
 
 
 
 15.19 
 
 
 
 
 
 10.53 
 
 100.00 
 
 
 LXXX 
 
 27.83 
 
 14.23 
 
 5.34 
 
 
 
 22.53 
 
 3.21 
 
 
 
 15.42 
 
 0.36 
 
 0.27 
 
 10.19 
 
 99.38 
 
 Jf 
 
 Theory 
 
 28.05 
 
 14.15 
 
 5.84 
 
 
 
 22.09 
 
 4.15 
 
 
 
 15.19 
 
 
 
 
 
 10.53 
 
 100.00 
 
 
 LXXXI 
 
 27.89 
 
 14.30 
 
 5.96 
 
 
 
 21.21 
 
 5.43 
 
 0.43 
 
 14.42 
 
 0.17 
 
 0.23 
 
 10.30 
 
 100.34 
 
 Marignac 
 
 Theory 
 
 27.65 
 
 17.63 
 
 
 
 
 
 30.07 
 
 
 
 
 
 13.25 
 
 
 
 
 
 11.40 
 
 100.00 
 
 
 LIX 
 
 26.88 
 
 17.52 
 
 
 
 
 
 29.76 
 
 
 
 
 
 13.84 
 
 
 
 
 
 11.33 
 
 99.33 
 
 Heddle 
 
 Theory 
 
 30.40 
 
 19.38 
 
 
 
 
 
 7.98 
 
 
 
 
 
 29.13 
 
 
 
 
 
 13.11 
 
 100.00 
 
 
 LXVI 
 
 30.30 
 
 19.40 
 
 
 
 
 
 8.23 
 
 0.37 
 
 
 
 29.10 
 
 
 
 
 
 13.07 
 
 100.47 
 
 Ortraann 
 
 Theory 
 
 31.15 
 
 18.19 
 
 2.59 
 
 
 
 0.58 
 
 , 
 
 
 
 34.05 
 
 
 
 
 
 13.44 
 
 100.00 
 
 
 XCIV 
 
 31.31 
 
 18.34 
 
 2.10 
 
 
 
 0.77 
 
 
 
 
 
 34.25 
 
 0.06 
 
 0.17 
 
 13.33 
 
 100.33 
 
 Schlaepfer 
 
 Theory 
 
 29.96 
 
 17.52 
 
 1.25 
 
 1.18 
 
 2.25 
 
 
 
 
 
 31.85 
 
 
 
 1.94 
 
 14.05 
 
 100.00 
 
 
 CXXXII 
 
 30.11 
 
 18.31 
 
 1.16 
 
 1.55 
 
 2.11 
 
 0.31 Li,0 
 
 
 
 31.89 
 
 0.37 
 
 1.99 
 
 14.14 
 
 101.94 
 
 Neminar 
 
 Theory 
 
 30.98 
 
 18.11 
 
 1.29 
 
 1.23 
 
 2.32 
 
 
 
 0.90 
 
 33.56 
 
 
 
 
 
 11.61 
 
 100.00 
 
 
 cxxx 
 
 31.08 
 
 18.85 
 
 1.55 
 
 1.09 
 
 2.33 
 
 
 
 0.81 
 
 33.50 
 
 
 
 
 
 11.53 
 
 100.74 
 
 Clarke and 
 
 Theory 
 
 29.83 
 
 14.26 
 
 4.97 
 
 2.36 
 
 2.24 
 
 
 
 
 
 32.93 
 
 
 
 
 
 13.41 
 
 100.00 
 
 Schneider 
 
 CXXXI 
 
 29.87 
 
 14.48 
 
 5.52 
 
 1.56 
 
 1.93 
 
 
 
 
 
 33.06 
 
 0.17NIO 
 
 
 
 13.60 
 
 100.19 
 
 Hermann 
 
 Theory 
 
 30.31 
 
 16.09 
 
 
 
 4.81 
 
 3.40 
 
 
 
 
 
 33.45 
 
 
 
 
 
 11.94 
 
 100.00 
 
 
 CXII 
 
 30.58 
 
 15.94 
 
 
 
 4.99 
 
 3.32 
 
 
 
 
 
 33.45 
 
 
 
 
 
 12.05 
 
 100.33 
 
 Herzog N.v 
 
 Theory 
 
 30.77 
 
 19.62 
 
 
 
 
 
 2.31 
 
 __ 
 
 
 
 34.61 
 
 
 
 
 
 12.69 
 
 100.00 
 
 Leuchtenberg 
 
 XCVIII 
 
 30.60 
 
 19.63 
 
 
 
 
 
 2.02 
 
 
 
 
 
 34.41 
 
 
 
 
 
 12.76 
 
 99.42 
 
 ,, 
 
 Theory 
 
 30.77 
 
 19.62 
 
 
 
 
 
 2.31 
 
 
 
 
 
 34.61 
 
 
 
 
 
 12.69 
 
 100.00 
 
 
 XCIX 
 
 30.33 
 
 19.85 
 
 
 
 
 
 2.43 
 
 
 
 0.11 
 
 34.64 
 
 
 
 
 
 12.73 
 
 100.09 
 
 Lagorio 
 
 Theory 
 
 30.77 
 
 19.62 
 
 
 
 
 
 2.31 
 
 
 
 
 
 34.61 
 
 
 
 
 
 12.69 
 
 100.00 
 
 
 C 
 
 30.61 
 
 19.52 
 
 0.30 
 
 
 
 2.53 
 
 
 
 
 
 34.20 
 
 
 
 
 
 12.53 
 
 99.69 
 
 Brun 
 
 Theory 
 
 27.00 
 
 17.21 
 
 
 
 
 
 29.36 
 
 
 
 
 
 16.31 
 
 
 
 
 
 10.13 
 
 100.00 
 
 
 XLIX 
 
 26.60 
 
 18.02 
 
 
 
 
 
 29.67 
 
 
 
 
 
 15.85 
 
 
 
 
 
 9.98 
 
 100.12 
 
 Hermann 
 
 Theory 
 
 30.58 
 
 17.87 
 
 2.55 
 
 
 
 
 
 
 
 
 
 36.96 
 
 
 
 
 
 12.04 
 
 100.00 
 
 
 CX 
 
 30.80 
 
 17.27 
 
 1.37 
 
 
 
 
 
 
 
 
 
 37.08 
 
 
 
 
 
 12.30 
 
 98.82 
 
 Pearse 
 
 Theory 
 
 28.47 
 
 18.15 
 
 
 
 
 
 3.73 
 
 1.66 
 
 
 
 32.02 
 
 2-09 
 
 
 
 13.88 
 
 100.00 
 
 
 CXL 
 
 28.62 
 
 18.37 
 
 
 
 0.37NiO 
 
 3.73 
 
 1.45 
 
 
 
 32.13 
 
 1.97 
 
 
 
 14.02 
 
 100.00 
 
 or the general formula 
 
 m MO 2 (6 R 2 3 18 Si0 2 ) n H 2 0. 
 
 Analyst 
 
 
 Sio, 
 
 A1 2 0, 
 
 Fe 2 O, 
 
 Cr 2 O, 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 NatO 
 
 HO 
 
 Total 
 
 Hardmann 
 
 Theory 
 
 39.75 
 39.44 
 
 9.39 
 10.35 
 
 20.61 
 20.72 
 
 
 
 3.98 
 3.70 
 
 Trace 
 
 4.64 
 4.48 
 
 7.73 
 
 7.47 
 
 - 
 
 
 
 13.90 
 13.62 
 
 100.00 
 99.78 
 
 Wurtz 
 
 Theory 
 II 
 
 35.07 
 35.24 
 
 4.97 
 4.48 
 
 23.38 
 23.13 
 
 ~ 
 
 25.14 
 25.09 
 
 
 
 ~ 
 
 
 
 
 
 1.51 
 
 1.85 
 
 9.93 
 10.21 
 
 100.00 
 100.00 
 
 Igelstrom 
 
 Theory 
 
 37.22 
 37.10 
 
 21.09 
 21.13 
 
 ~ 
 
 
 
 19.85 
 20.00 
 
 Trace 
 
 
 
 13.78 
 14.03 
 
 
 
 
 
 8.06 
 7.83 
 
 100.00 
 100.09 
 
 2 D 
 
402 
 
 THE ORTHOCHLORITE GROUP 
 
 
 
 
 
 Source 
 
 183 
 
 44MO-2(6R 2 3 -18Si0 2 ) 
 42 H 2 
 
 44 MO = 44 FeO 
 1 2 R 2 O 3 = 10 A1 2 O 3 - 2 Fe 2 O 3 
 
 Chamo- 
 site 
 
 Schmiedefeld 
 
 184 
 
 48MO-2(6R 2 O 3 - 18SiO 2 ) 
 48 H 2 
 
 48 MO = 30 MgO 17 FeO 1 MnO 
 12R 2 3 = 10Al 2 3 -2Fe 2 3 
 
 Ortho- 
 chlorite 
 
 Cape Wrath 
 
 185 
 
 48MO-2(6R 2 O 3 - 18SiO 2 ) 
 60 H 2 O 
 
 48 MO = 34.5 MgO -11.5 FeO 2 CaO 
 12 R a O 8 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 Deles- 
 site 
 
 Bowling Quarry, 
 Dumbarton 
 
 186 
 
 49 MO 2 (6 R 2 O 3 18SiO 2 ) 
 - 56 H 2 
 
 49 M0 = 32.5 MgO - 15 FeO 1.5 CaO 
 12 R 2 3 = 10.5 A1 2 3 1.5 Fe 2 3 
 
 " 
 
 Long Craig, 
 Dumbarton 
 
 187 
 
 49 MO 2 (6 R 2 O 3 18SiO 2 ) 
 44 H 2 
 
 49 MO = 48 MgO -1 FeO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 Ortho- 
 chlorite 
 
 Ckyn 
 
 188 
 
 52MO-2(6R 2 3 -18Si0 2 ) 
 52 H 2 
 
 52 MO = 50 MgO 1 CaO 1 FeO 
 1 2 R 2 O 3 = 1 1 A1 2 O 3 1 Fe 2 O 3 
 
 
 
 Markich 
 
 189 
 
 54 MO 2 (6 R 2 O 3 18SiO 2 ) 
 30H 2 
 
 54 MO = 53 MgO -1 CaO 
 12R 2 O 3 = 10.5A1 2 O 3 - 1.5Fe 2 O 3 
 
 H 
 
 Schischimsker 
 Berge 
 
 190 
 
 54 MO 2 (6 R 2 O 3 18SiO 2 ) 
 30 H 2 O 
 
 54 MO = 53 MgO- 1 CaO 
 12 R 2 O 3 = 10.5 A1 2 O 3 1.5 Fe 2 O 3 
 
 " 
 
 
 
 191 
 
 57MO-2(6A1 2 O 3 - 18SiO 2 ) 
 46H 2 O 
 
 57 MO = 53 MgO -4 FeO 
 
 
 
 " 
 
 192 
 
 68MO-2(6R 2 O 3 - 18SiO 2 ) 
 42 H 2 6 
 
 58 MO = 50 MgO -8 CaO 
 12R 2 O 3 =10.5A1 2 O 3 - 1.5Fe 2 O 3 
 
 
 
 > 
 
 193 
 
 58M0 2 2(6R 2 3 -18Si0 2 ) 
 46 H 2 O 
 
 58 MO = 58 MgO 
 12R 2 O 3 = 8.5A1 2 O 3 - 1 .5Fe 2 O 3 -2Cr 2 O 3 
 
 " 
 
 Ufalejsk 
 
 194 
 
 58MO-2(6R 2 3 -18Si0 2 ) 
 46 H 2 
 
 58 MO = 58 MgO 
 12 R 2 3 = 8.5 A1 2 3 -1.5 Fe 2 O 3 -2 Cr 2 O 3 
 
 n 
 
 tt 
 
 195 
 
 58MO-2(6R 2 O 3 - 18SiO 2 ) 
 46 H 2 O 
 
 58 MO = 58 MgO 
 12 R 2 O 3 = 8.5 A1 2 O 3 -1.5Fe 2 O 3 -2 Cr 2 O 3 
 
 " 
 
 " 
 
 196 
 
 58MO-2(6R 2 O 8 - 18SiO 2 ) 
 46 H 2 O 
 
 58 MO = 58 MgO 
 12 R 2 O 3 = 8.5 A1 2 O 3 -1.5 Fe 2 O 3 -2 Cr 2 O 3 
 
 " 
 
 Bilimbajewsk 
 
 197 
 
 59MO-2(6R 2 O 3 - 18SiO 2 ) 
 48 H 2 
 
 59 MO = 59 MgO 
 12R 2 3 =10Al 2 3 -2Fe 2 3 
 
 
 
 Texas, Pa. 
 
 198 
 
 59 MO 2 (6 R 2 O 3 18SiO 2 ) 
 48 H 2 
 
 59 MO = 59 MgO 
 12R 2 3 = 10Al 2 3 -2Fe 2 3 
 
 
 
 Willimantic, 
 
 Conn. 
 
 199 
 
 60MO-2(6R 2 O 3 -18SiO 2 ) 
 48 H 2 O 
 
 60 MO = 55 MgO - 4 FeO 1 CaO 
 12 R 2 O 3 = 11.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 i> 
 
 Kariaet, 
 Greenland 
 
 200 
 
 62 MO 2 (6 R 2 O 3 18SiO 2 ) 
 52 H 2 O 
 
 62 MO = 54 MgO-2 FeO-4 CaO-1 K 2 O 
 1 Na 2 O ; 12 R 2 O 3 = 9 Al 2 O 3 -3 Cr 2 O 3 
 
 
 
 Unst 
 
 201 
 
 62MO-2(6AU) 3 -18Si0 2 ) 
 46 H 2 O 
 
 62 MO = 61 .5 MgO 0.5 FeO 
 
 
 
 Mauleon 
 
 202 
 
 62MO-2(6R 2 3 -18Si0 2 ) 
 48 H 2 
 
 62 MO = 62 MgO 
 12R 2 3 =9Al 2 3 -3Fe 2 3 
 
 > 
 
 Achmatowsk 
 
 203 
 
 62 MO 2 (6 R 2 O 3 18SiO 2 ) 
 48 H 2 
 
 62 MO = 62 MgO 
 12 R 2 O 3 = 9 A1 2 O 3 3 Fe 2 O 3 
 
 n 
 
 
 
 204 
 
 63MO-2(6Al 2 O 3 -18SiO 2 ) 
 48 H 2 
 
 63 MO = 53 MgO 8 FeO - 2 CaO 
 
 tt 
 
 Kariaet, 
 Greenland 
 
 205 
 
 64 MO 2 (6 A1 2 O 3 18 SiO 2 ) 
 48 H 2 
 
 64 MO = 60 MgO -4 FeO 
 
 " 
 
 Achmatowsk 
 
 206 
 
 64 MO 2 (6 A1 2 O 3 18SiO a ) 
 48H 2 
 
 " 
 
 
 
 
 
THE ORTHOCHLORITE GROUP 
 
 403 
 
 Analyst 
 
 
 SiO, 
 
 A1 2 S 
 
 Fe,0 3 
 
 Cr 2 3 
 
 FeO 
 
 MnO 
 
 CaO | MgQ 
 
 K a o 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Loretz 
 
 Theory 
 
 29.08 13.79 
 
 4.33 
 
 
 
 42.62 
 
 
 
 
 
 
 
 
 
 
 
 10.18 
 
 100.00 
 
 
 IV 
 
 29.00 13.00 
 
 6.00 
 
 
 
 42.00 
 
 
 
 
 
 
 
 
 
 
 
 10.00 
 
 100.00 
 
 Heddle 
 
 Theory 
 
 31.49 14.87 
 
 4.67 
 
 
 
 17.85 
 
 1.03 
 
 
 
 17.49 
 
 
 
 
 
 12.60 
 
 100.00 
 
 
 LXVIII 
 
 31.03 
 
 14.85 
 
 5.73 
 
 
 
 17.42 
 
 1.00 
 
 0.36 
 
 17.42 
 
 
 
 
 
 12.48 
 
 100.29 
 
 it 
 
 Theory 
 
 31.70 
 
 17.22 
 
 1.17 
 
 
 
 12.16 
 
 
 
 1.64 
 
 20.25 
 
 
 
 
 
 15.86 
 
 100.00 
 
 
 VI 
 
 32.00 17.33 
 
 1.19 
 
 
 
 12.45 
 
 
 
 1.57 
 
 20.42 
 
 
 
 
 
 15.45 
 
 100.41 
 
 M 
 
 Theory 
 
 31.11 15.43 
 
 3.46 
 
 
 
 15.55 
 
 
 
 1.21 
 
 18.73 
 
 
 
 
 
 14.51 
 
 100.00 
 
 
 VIII 
 
 30.93 
 
 15.32 
 
 3.16 
 
 
 
 15.31 
 
 0.38 
 
 1.38 
 
 18.65 
 
 
 
 
 
 14.69 
 
 99.82 
 
 Gintl 
 
 Theory 
 
 34.85 
 
 18.93 
 
 1.29 
 
 
 
 1.16 
 
 
 
 
 
 30.97 
 
 
 
 
 
 12.78 
 
 100.00 
 
 
 XIII 
 
 35.31 
 
 18.28 
 
 1.26 
 
 
 
 0.83 
 
 
 
 
 
 31.61 
 
 
 
 
 
 13.26 
 
 100.55 
 
 van 
 
 Theory 
 
 33.21 
 
 17.23 
 
 2.46 
 
 
 
 1.11 
 
 
 
 0.86 
 
 30.74 
 
 
 
 
 
 14.39 
 
 100.00 
 
 Weryecke 
 
 II 
 
 32.84 
 
 17.34 
 
 3.29 
 
 
 
 1.04 
 
 
 
 0.75 
 
 30.48 
 
 
 
 
 
 14.44 
 
 100.18 
 
 Komonen 
 
 Theory 
 
 35.12 
 
 17.40 
 
 3.90 
 
 
 
 
 
 
 
 0.90 
 
 33.92 
 
 
 
 
 
 8.75 
 
 100.00 
 
 
 xcv 
 
 34.99 
 
 17.15 
 
 3.39 
 
 
 
 
 
 
 
 1.42 
 
 34.49 
 
 
 
 
 8.56 
 
 100.00 
 
 M 
 
 Theory 
 
 35.12 
 
 17.40 
 
 3.90 
 
 
 
 
 
 
 
 0.90 
 
 33.92 
 
 
 
 
 
 8.75 
 
 100.00 
 
 
 XCVI 
 
 34.23 
 
 16.31 
 
 3.33 
 
 
 
 
 
 
 
 1.75 
 
 35.36 
 
 
 
 
 
 8.68 
 
 99.66 
 
 Hermann 
 
 Theory 
 
 32.62 
 
 18.49 
 
 
 
 
 4.35 
 
 
 
 
 
 32.02 
 
 
 
 
 
 12.52 
 
 100.00 
 
 
 XCVII 
 
 32.35 
 
 18.00 
 
 
 
 
 
 4.37 
 
 
 
 
 
 32.29 
 
 
 
 
 
 12.50 
 
 99.51 
 
 Clarke and 
 
 Theory 
 
 32.36 
 
 16.05 
 
 3.59 
 
 . 
 
 
 
 
 
 6.71 
 
 29.96 
 
 
 
 
 
 11.33 
 
 100.00 
 
 Schneider 
 
 CI 
 
 32.27 
 
 16.05 
 
 4.26 
 
 
 
 0.28 
 
 
 
 6.21 
 
 29.75 
 
 
 
 
 
 11.47 
 
 100.29 
 
 Herzog von 
 
 Theory 
 
 32.14 
 
 12.90 
 
 3.57 
 
 4.53 
 
 
 
 
 
 
 
 34.54 
 
 
 
 
 
 12.32 
 
 100.00 
 
 Leuchtenberg 
 
 CII 
 
 33.12 
 
 13.56 
 
 2.29 
 
 4.19 
 
 
 
 
 
 
 
 35.77 
 
 
 
 
 
 12.65 
 
 101.58 
 
 )t 
 
 Theory 
 
 32.14 
 
 12.90 
 
 3.57 
 
 4.53 
 
 
 
 
 
 
 
 34.54 
 
 
 
 
 12.32 
 
 100.00 
 
 
 cm 
 
 32.35 
 
 13.29 
 
 2.00 
 
 4.19 
 
 
 
 
 
 
 
 35.04 
 
 
 
 
 
 12.62 
 
 99.49 
 
 N. v. Zinn 
 
 Theory 
 
 32.14 
 
 12.90 
 
 3.57 
 
 4.53 
 
 
 
 
 
 
 
 34.54 
 
 
 
 
 
 12.32 
 
 100.00 
 
 
 CIV 
 
 33.31 
 
 12.60 
 
 2.30 
 
 4.04 
 
 
 
 
 
 
 
 35.62 
 
 
 
 
 
 12.62 
 
 100.49 
 
 M 
 
 Theory 
 
 32.14 
 
 12.90 
 
 3.57 
 
 4.53 
 
 
 
 
 
 
 
 34.54 
 
 
 
 
 
 12.32 
 
 100.00 
 
 
 CVI 
 
 32.50 
 
 13.20 
 
 2.30 
 
 4.00 
 
 
 
 
 
 
 
 35.60 
 
 
 
 
 
 12.60 
 
 100.30 
 
 Hermann 
 
 Theory 
 
 32.13 
 
 15.15 
 
 4.76 
 
 
 
 
 
 
 
 
 
 35.10 
 
 
 
 
 
 12.86 
 
 100.00 
 
 
 CXLI 
 
 31.82 
 
 15.10 
 
 4.06 
 
 0.90 
 
 0.25 NiO 
 
 
 
 
 
 35.24 
 
 
 
 
 
 12.75 
 
 100.12 
 
 Burton 
 
 Theory 
 
 32.13 
 
 15.15 
 
 4.76 
 
 
 
 
 
 
 
 
 
 35.10 
 
 
 
 
 
 12.86 
 
 100.00 
 
 
 CXLIX 
 
 31.86 
 
 15.80 
 
 4.77 
 
 
 
 
 
 
 
 0.30 
 
 34.30 
 
 
 
 
 
 12.72 
 
 99.75 
 
 Hammer- 
 
 Theory 
 
 31.76 
 
 16.95 
 
 1.19 
 
 
 
 4.23 
 
 
 
 0.82 
 
 32.35 
 
 
 
 
 
 12.70 
 
 100.00 
 
 schlag 
 
 CXVI 
 
 30.34 
 
 16.86 
 
 1.86 
 
 
 
 4.53 
 
 
 
 0.61 
 
 31.82 
 
 
 
 0.37 
 
 12.70 
 
 99.09 
 
 Heddle 
 
 Theory 
 
 30.19 
 
 12.83 
 
 
 
 6.38 
 
 2.01 
 
 
 
 3.13 
 
 30.19 
 
 1.32 
 
 0.87 
 
 13.08 
 
 100.00 
 
 
 LXIII 
 
 29.89 
 
 12.93 
 
 
 
 5.97 
 
 1.96 
 
 
 
 3.54 
 
 29.93 
 
 1.16 
 
 0.97 
 
 13.27 
 
 99.62 
 
 Delesse 
 
 Theory 
 
 31.99 
 
 18.13 
 
 
 
 
 
 1.18 
 
 
 
 
 
 36.44 
 
 
 
 
 
 12.26 
 
 100.00 
 
 
 LVIII 
 
 32.10 
 
 18.50 
 
 
 
 
 0.60 
 
 
 
 
 
 36.70 
 
 
 
 
 
 12.10 
 
 100.00 
 
 Struve 
 
 Theory 
 
 31.29 
 
 13.30 
 
 6.95 
 
 
 
 
 
 
 
 
 
 35.93 
 
 
 
 
 
 12.53 
 
 100.00 
 
 
 XCII 
 
 31.64 
 
 13.54 
 
 5.83 
 
 
 
 
 
 
 
 0.05 
 
 36.20 
 
 
 
 
 
 12.74 
 
 100.00 
 
 
 Theory 
 
 31.29 
 
 13.30 
 
 6.95 
 
 ___ 
 
 
 
 
 
 
 
 35.93 
 
 
 
 
 
 12.53 
 
 100.00 
 
 
 XCIII 
 
 31.52 
 
 13.96 
 
 6.12 
 
 
 
 
 
 
 
 0.05 
 
 35.68 
 
 
 
 
 
 12.67 
 
 100.00 
 
 Janowsky 
 
 Theory 
 
 30.62 
 
 17.34 
 
 
 
 
 
 8.16 
 
 
 
 1.59 
 
 30.04 
 
 
 
 
 
 12.25 
 
 100.04 
 
 
 CXVII 
 
 30.32 
 
 17.90 
 
 
 
 
 
 7.71 
 
 
 
 1.28 
 
 29.88 
 
 
 
 
 
 12.28 
 
 99.37 
 
 Kobell 
 
 Theory 
 
 31.14 
 
 17.64 
 
 
 
 
 
 4.16 
 
 
 
 
 
 34.60 
 
 0.85(Resd.) 
 
 12.46 
 
 100.00 
 
 
 LXXXIX 
 
 31.14 
 
 17.14 
 
 
 
 
 
 3.85 
 
 0.53 
 
 
 
 34.40 
 
 
 
 
 
 12.20 
 
 100.11 
 
 Varrentrapp 
 
 Theory 
 
 31.14 
 
 17.64 
 
 
 
 
 
 4.16 
 
 
 
 
 
 34.60 
 
 0.85(Besd.) 
 
 12.46 
 
 100.00 
 
 
 XC 
 
 30.38 
 
 16.97 
 
 
 
 
 
 4.37 
 
 
 
 
 
 33.97 
 
 
 
 12.63 
 
 98.32 
 
404 
 
 THE ORTHOCHLORITE GROUP 
 
 0. Orthoehlorites of the type 
 R Si R Si R = 8 R 9 0o 12 SiO, 
 
 
 
 
 
 Source 
 
 207 
 
 40 MO 
 
 2(8Fe 2 O 3 - 
 
 12 SiO 2 ) 
 
 44 H 2 O 
 
 40 MO = 40 FeO 
 
 Cronstedtite 
 
 Cornwall 
 
 208 
 
 41 MO 
 
 -2(8A1 2 O 8 - 
 
 12SiO 2 ) 
 
 40H 2 O 
 
 41 MO = 31 FeO -10 MgO 
 
 Thuringite 
 
 Lake Superior 
 
 P. Orthoehlorites of the type 
 R S A i R Si R = 9 R 2 3 12 Si0 2 
 
 209 
 210 
 211 
 212 
 213 
 214 
 
 Source 
 
 16 MO 2(9 A1 2 O 3 12 SiO 2 ) 
 34 H 2 O 
 
 28MO-2(9R 2 O 3 -12SiO 2 ) 
 
 30 H 2 O 
 
 30MO-2(9R 2 3 -12Si0 2 ) 
 
 42 H 2 
 
 33MO-2(9R 2 O 3 -12SiO 2 ) 
 36H 2 
 
 37MO-2(9Al 2 O 3 -12SiO 2 ) 
 34H 2 O 
 
 40 MO 2(9 Fe 2 O 3 12 SiO 2 ) 
 46H 2 
 
 16 M0 = 14 MgO 1 CaO 1 FeO 
 
 28 MO = 25 FeO -3 MgO 
 18R 2 3 = 15Al 2 3 -3Fe 2 3 
 
 30 MO = 28 FeO -2 MgO 
 18 R 2 O 3 = 7-5 Fe 2 O 3 10.5 Al 
 
 33 MO = 31 FeO -2 MgO 
 18R 2 3 =12Al 2 3 -6Fe 2 3 
 
 37 MO = 24 MgO 13 FeO 
 40 MO = 40 FeO 
 
 FeO 
 
 
 P 3 
 3 
 U 2 O 3 
 
 Rumpfite 
 Aphrosiderite 
 Thuringite 
 
 St. Michael 
 Weilburg 
 Schmiedefeld 
 
 3 
 P 3 
 3 
 
 Orthochlorite 
 
 Chester, Mass. 
 
 
 Cronstedtite 
 
 Cornwall 
 
 New Formulae for 
 The following analyses of the minerals 
 
 A. R Si R =5 R 2 O 3 6 Si0 2 , 
 
 B. R S A i R Si R = 8 R 2 3 12 Si0 2 , 
 
 A. Tourmalines of the type 
 R Si R = 5 R 2 3 6 Si0 2 
 
 
 
 Source 
 
 Analyst * 
 
 4 RO 4(5 R 2 O 3 
 
 6Si0 2 ) 
 
 4MO = 0.5MnO- 1.5Li 2 O-l Na 2 O-0.5K 2 O 
 
 Elba 
 
 Rammelsberg 
 
 4H 2 
 
 
 0.5 H 2 O ; 20 R 2 O 3 =16 A1 2 O 3 4 B 2 O 3 
 
 
 
 4 RO 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 4 MO =0.5 CaO 2 Li 2 O 1.5 Na 2 O 
 
 Rumford 
 
 Riggs 
 
 9H 2 
 
 
 20 R 2 O 3 = 15.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 
 5 MO 4(5 R 2 3 
 
 - 6 SiO 2 ) 
 
 5 MO = 1 MnO-0.5 CaO-1.5 Li a O-1.5 Na 2 O 
 
 Paris 
 
 Rammelsberg 
 
 4H 2 
 
 
 0.5 K 2 O ; 20 R 2 O 3 = 15.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 
 5 MO 4(5 R 2 O 3 
 5H 2 
 
 6 SiO 2 ) 
 
 5 MO = 1 MnO-0.5 CaO- 1.5 MgO 1 Li 2 O 
 1 Na 2 ; 20 R 2 O 3 = 16 A1 2 O 3 4 B 2 O 3 
 
 Schaitauka 
 
 
 
 5 MO 4(5 R 2 O 3 
 
 6 Si0 2 ) 
 
 5MO = 1.5FeO-0.5MgO-lLi 2 O- 1.5 MnO 
 
 Elba 
 
 n 
 
 5H 2 
 
 
 1.5 Na 2 O ; 20 R 2 O 3 = 15 Al 2 O 3 -5 B 2 O 3 
 
 
 
 5 MO 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 5 MO = 0.5 MnO-0.5 CaO-2 Li 2 O 1 Na O 
 
 Schiitten- 
 
 Scharizer 
 
 10H 2 
 
 
 1 K 2 ; 20 R 2 3 =15.5 A1 2 O 3 4.5 B 2 O 3 
 
 hofen 
 
 
 6 MO 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 6 MO = 1.5 FeO-1.5 MnO-0.5 CaO-0.5 Li 2 O 
 
 Brazil 
 
 Jannasch 
 
 7H 2 O 
 
 
 2 Na 2 O ; 20 R 2 O 3 = 15 A1 2 O 3 5 B 2 O 3 
 
 
 and Calb 
 
 6MO-4(5R 2 O 3 
 
 6 SiO 2 ) 
 
 6 MO = 1 FeO 1 MnO 0.5 CaO 2 Li 2 O 
 
 H 
 
 Riggs 
 
 8H 2 O 
 
 
 1.5Na 8 O ; 20R 2 O 3 = 14.5 Al 2 O 3 -5.5 B 2 O 3 
 
 
 
 * See references on p. 441 
 
THE TOURMALINE GROUP 
 
 405 
 
 or the general formula 
 
 m MO 2 (8 R 2 O 3 12 Si0 2 ) 
 
 nHoO. 
 
 Analyst 
 
 1 
 
 SiO 
 
 Al,0 3 
 
 Fe t 3 
 
 Cr a 8 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,o 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Flight 
 
 Penfield 
 and Sperry 
 
 Theory 
 VIII 
 
 Theory 
 X 
 
 18.77 
 18.55 
 
 22.28 
 22.35 
 
 25.25 
 25.14 
 
 33.36 
 32.75 
 
 
 
 37.54 
 
 38.57 
 
 35.25 
 34.39 
 
 
 
 
 
 6.18 
 6.41 
 
 
 
 
 
 10.33 
 10.13 
 
 11.14 
 11.25 
 
 100.00 
 100.00 
 
 100.00 
 99.54 
 
 or the general formula 
 
 m MO 2 (9 R 2 3 12 Si0 2 ) n H 2 O. 
 
 Analyst 
 
 
 SiO a 
 
 Al a o s 
 
 Fe a 3 ' 
 
 Cr a Oa 
 
 FeO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Firtsch 
 
 Theory 
 
 31.48 
 
 40.12 
 
 
 
 
 
 1.57 
 
 
 
 1.22 
 
 12.23 
 
 
 
 
 
 13.38 
 
 100.00 
 
 
 I " 
 
 30.75 
 
 41.66 
 
 
 
 
 
 1.61 
 
 
 
 0.89 
 
 12.09 
 
 
 
 
 
 13.12 
 
 100.12 
 
 Sand- 
 
 Theory 
 
 24.36 
 
 25.89 
 
 8.13 
 
 
 
 30.45 
 
 
 
 
 
 2.03 
 
 
 
 
 
 9.14 
 
 100.00 
 
 berger 
 
 III 
 
 24.63 
 
 25.25 
 
 8.50 
 
 
 
 30.61 
 
 
 
 
 
 1.82 
 
 
 
 
 
 9.19 
 
 100.00 
 
 L. Smith 
 
 Theory 
 
 21.94 
 
 16.32 
 
 18.28 
 
 
 
 30.72 
 
 
 
 
 
 1.22 
 
 
 
 
 
 11.52 
 
 100.00 
 
 
 I 
 
 22.05 
 
 16.40 
 
 17.66 
 
 
 
 30.78 
 
 
 
 
 
 0.89 
 
 0.14(K 2 O'Na,O) 
 
 11.44 
 
 99.36 
 
 Kammels- 
 
 Theory 
 
 21.74 
 
 18.48 
 
 14.47 
 
 
 
 34.30 
 
 
 
 
 
 1.21 
 
 
 
 
 
 9.78 
 
 100.00 
 
 berg 
 
 II 
 
 22.35 
 
 18.39 
 
 14.86 
 
 
 
 34.34 
 
 
 
 
 
 1.25 
 
 
 
 
 
 9.81 
 
 101.00 
 
 L. Smith 
 
 Theory 
 
 24.90 
 
 31.71 
 
 
 
 
 
 16.21 
 
 
 
 
 
 16.60 
 
 
 
 
 
 10.58 
 
 100.00 
 
 
 CXXII 
 
 25.06 
 
 30.70 
 
 
 
 
 
 16.50 
 
 
 
 
 
 16.41 
 
 
 
 
 
 10.62 
 
 99.29 
 
 Flight 
 
 Theory 
 
 17.94 
 
 
 
 35.87 
 
 
 
 35.87 
 
 
 
 
 
 
 
 
 
 
 
 10.32 
 
 100.00 
 
 
 VII 
 
 17.47 
 
 
 
 36.76 
 
 
 
 36.31 
 
 
 
 0.09 
 
 
 
 
 
 
 
 10.09 
 
 100.72 
 
 the Tourmaline Group 
 
 of this group conform to the following types : 
 
 C. R Si R Si R = 9 R 2 3 12 Si0 2 . 
 
 or the general formula 
 
 m MO 4 (5 R 2 O 3 6 Si0 2 ) n H 2 
 
 
 SiO> 
 
 B,0, 
 
 AUG. 
 
 Fe,0, 
 
 FeO 
 
 TiO, 
 
 MnO 
 
 CaO 
 
 MgO 
 
 Li.O 
 
 Na,0 
 
 K,0 
 
 H,0 
 
 Fl 
 
 Total 
 
 Loss on 
 Ignition 
 
 Theory 
 XX 
 
 39.76 
 38.85 
 
 7.71 
 9.52 
 
 45.06 
 44.05 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 0.98 
 0.92 
 
 0.00 
 0.00 
 
 0.00 
 0.20 
 
 .24 
 .22 
 
 1.71 
 2.00 
 
 1.30 
 1.30 
 
 2.24 
 2.41 
 
 0.00 
 0.70 
 
 100.00 
 101.17 
 
 .__ 
 
 Theory 
 LXVIII 
 
 39.15 
 38.07 
 
 8.54 
 9.99 
 
 42.99 
 42.24 
 
 0.00 
 0.00 
 
 0.00 
 0.26 
 
 0.00 
 0.00 
 
 0.00 
 0.35 
 
 0.76 
 0.56 
 
 0.00 
 0.07 
 
 .63 
 .59 
 
 2.53 
 2.18 
 
 0.00 
 0.44 
 
 4.40 
 4.26 
 
 0.00 
 0.28 
 
 100.00 
 100.29 
 
 
 
 Theory 
 LXII 
 
 39.01 
 38.19 
 
 8.52 
 9.97 
 
 42.83 
 42.63 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 1.92 
 1.94 
 
 0.76 
 0.45 
 
 0.00 
 0.39 
 
 .22 
 .17 
 
 2.52 
 2.60 
 
 1.27 
 0.68 
 
 1.95 
 2.00 
 
 0.00 
 1.18 
 
 100.00 
 101.20 
 
 
 
 Theory 
 XXXI 
 
 39.00 
 38.26 
 
 7.57 
 9.29 
 
 44.20 
 43.97 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 1.92 
 1.53 
 
 0.76 
 0.62 
 
 1.62 
 1.62 
 
 0.81 
 0.48 
 
 1.68 
 1.53 
 
 0.00 
 0.21 
 
 2.44 
 2.49 
 
 0.00 
 0.70 
 
 100.00 
 100.70 
 
 
 
 Theory 
 XIX 
 
 38.97 
 37.71 
 
 9.45 
 9.99 
 
 41.41 
 
 41.89 
 
 0.00 
 0.00 
 
 0.97 
 1.38 
 
 0.00 
 0.00 
 
 2.88 
 2.51 
 
 0.00 
 0.00 
 
 0.54 
 0.41 
 
 0.82 
 0.74 
 
 2.52 
 2.40 
 
 0.00 
 0.34 
 
 2.44 
 2.60 
 
 0.00 
 0.50 
 
 100.00 
 100.47 
 
 
 
 Theory 
 VIII 
 
 37.94 
 38.49 
 
 8.28 
 8.25 
 
 41.66 
 41.49 
 
 0.00 
 0.00 
 
 0.00 
 0.35 
 
 0.00 
 0.00 
 
 0.94 
 0.60 
 
 0.74 
 1.82 
 
 0.00 
 0.00 
 
 1.58 
 1.68 
 
 1.64 
 1.32 
 
 2.48 
 2.14 
 
 4.74 
 4.61 
 
 0.00 
 0.43 
 
 100.00 
 100.00 
 
 
 
 Theory 
 XLII 
 
 37.63 
 37.05 
 
 9.13 
 9.09 
 
 39.98 
 40.03 
 
 0.00 
 0.00 
 
 2.82 
 2.36 
 
 0.00 
 0.00 
 
 2.78 
 2.35 
 
 0.73 
 0.47 
 
 0.00 
 0.32 
 
 0.40 
 0.60 
 
 3.24 
 3.18 
 
 0.00 
 Trace 
 
 3.29 
 3.23 
 
 0.00 
 1.15 
 
 100.00 
 99.83 
 
 
 
 Theory 
 XXXVIII 
 
 38.18 
 37.39 
 
 10.18 
 10.29 
 
 39.22 
 39.65 
 
 0.00 
 0.00 
 
 1.91 
 2.29 
 
 0.00 
 0.00 
 
 1.88 
 1.47 
 
 0.74 
 0.49 
 
 0.00 
 0.00 
 
 1.59 
 1.71 
 
 2.47 
 2.42 
 
 0.00 
 0.25 
 
 3.83 
 3.63 
 
 0.00 
 0.32 
 
 100.00 
 99.91 
 
 
 
406 
 
 THE TOURMALINE GROUP 
 
 
 
 
 Source 
 
 Analyst 
 
 9 
 
 6 MO 
 
 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 6 MO = 1 FeO 1 MnO 0.5 CaO 2 Li 2 O 
 
 Auburn 
 
 Riggs 
 
 
 
 9H 2 
 
 
 1.5 Na 2 ; 20 R 2 O 3 = 14.5 Al 2 O 3 -5.5 B 2 O 3 
 
 
 
 10 
 
 6 MO 
 
 4(5 R 2 O 3 
 
 6 Si0 2 ) 
 
 6 MO = 2 FeO-0.5 CaO 2 Li 2 O 1.5 Na 2 O 
 
 
 
 
 
 
 
 9H 2 
 
 
 20 R 2 O 3 = 14 A1 2 O 3 6 B 2 O 3 
 
 
 
 11 
 
 7 MO 
 
 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 7 MO = 1 .5 FeO-0.5 CaO 4 MgO 1 Na 2 O 
 
 N. Issetsk 
 
 Cossa 
 
 
 
 5H 2 
 
 
 20 R 2 O 3 = 11.5 A1 2 O 3 -5.5 B 2 O 3 3 Cr 2 O 3 
 
 
 
 12 
 
 7 MO 
 
 4(5 R 2 3 
 
 6 SiO 2 ) 
 
 7MO = 1.5FeO-1.5MnO-0.5CaO- 1.5Li 2 O 
 
 Brazil 
 
 Jannasch 
 
 
 
 6H 2 
 
 
 2 Na 2 O ; 20 R 2 O 3 = 14.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 and Calb 
 
 13 
 
 7 MO 
 
 4(5 R 2 3 
 
 6 SiO 2 ) 
 
 7 MO = 1.5 FeO- 1.5MnO-0.5CaO-2 Li 2 O 
 
 M 
 
 Riggs 
 
 
 
 8H 2 O 
 
 
 1.5 Na 2 O ; 20 R 2 O 3 =14.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 14 
 
 7 MO 
 
 4(5R 2 3 - 
 
 6 SiO 2 ) 
 
 7 MO = 3.5 FeO - 1.5 Li 2 O 2 Na 2 O 
 
 Rurnford 
 
 M 
 
 
 
 8H 2 O 
 
 
 20 R 2 O 3 = 14.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 15 
 
 8 MO 
 
 4(5 R 2 O 3 
 
 6 Si0 2 ) 
 
 8 MO = 3 FeO 0.5 MnO 1 MgO 2 Li 2 O 
 
 Brazil 
 
 Rammelsberg 
 
 
 
 4H 2 O 
 
 
 1 .5 Na 2 O ; 20 R 2 O 3 = 14 A1 2 O 3 6 B 2 O 3 
 
 
 
 16 
 
 8 MO 
 
 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 8 MO = 4 FeO-0.5 MnO 1.5 Li 2 O 2 Na 2 O 
 
 Auburn 
 
 Riggs 
 
 
 
 9H 2 
 
 
 20 R 2 O 3 = 14.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 17 
 
 8 MO 
 
 4(5 R 2 O 3 
 
 6 SiO 2 ) 
 
 8 MO = 2.5 FeO-1.5 MnO-2 Li 2 O 0.5 K 2 O 
 
 Schiitten- 
 
 Scharizer 
 
 
 
 10H 2 
 
 
 1.5 Na 2 O ; 20 R 2 O 3 = 15.5 Al 2 O 3 -4.5 B 2 O 3 
 
 hofen 
 
 
 18 
 
 10 MO 
 
 4(5 R 2 O 3 
 
 6 Si0 2 ) 
 
 10 MO = 3 FeO-0.5 MnO-4 MgO-0.5 K 2 O 
 
 M. Bisch 
 
 Sommerland 
 
 
 
 2H 2 
 
 
 2 Na 2 O ; 20 R 2 O 3 = 14 A1 2 O 3 6 B 2 O 3 
 
 
 
 19 
 
 10 MO 
 
 4(5R 2 3 - 
 
 6 SiO 2 ) 
 
 10 MO -7. 5 FeO- 1.5 MgO- 1 Na 2 O 
 
 Saar 
 
 Rammelsberg 
 
 
 
 3H 2 
 
 
 20 R 2 O 3 = 14 A1 2 O 3 6 B 2 O 3 
 
 
 
 20 
 
 10 MO 
 
 4(5 R 2 3 
 
 6 SiO 2 ) 
 
 10MO = 6.5FeO-lMgO-0.5MnO- 1 Li 2 O 
 
 Goshen 
 
 w 
 
 
 
 5H 2 O 
 
 
 1 Na 2 O ; 20 R 2 O 3 = 13 A1 2 O 3 7 B 2 O 3 
 
 
 
 21 
 
 10 MO 
 
 4(5 R 2 3 
 
 6 Si0 2 ) 
 
 10 MO = 8 FeO 1 MgO 1 Na 2 O 
 
 Auburn 
 
 Riggs 
 
 
 
 8H 2 
 
 
 20 R 2 O 3 = 13 A1 2 O 3 7 B 2 O 3 
 
 
 
 22 
 
 10 MO 
 
 4(5 R 2 3 
 
 6 SiO 2 ) 
 
 10 MO = 7 FeO- 1.5 MgO- 1.5Na a O 
 
 Paris 
 
 
 
 
 8H 2 
 
 
 20 R 2 O 3 = 14.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 23 
 
 10 MO 
 
 4(5 R 2 3 
 
 6 Si0 2 ) 
 
 10 MO = 7.5 FeO -1.5 MgO- 1 Na 2 O 
 
 Alabaschka 
 
 Jannasch 
 
 
 
 8H 2 O 
 
 
 20 R 2 O 3 = 13.5 A1 2 O 3 6.5 B 2 O 3 
 
 
 and Calb 
 
 24 
 
 12 MO 
 
 4(5R 2 O 3 - 
 2H 2 O 
 
 6 Si0 2 ) 
 
 12 MO = 8.5 FeO-0.5 MnO -2 MgO-0.5 Na 2 O 
 0.5 H 2 O ; 20 R 2 O 3 = 12 A1 2 O 3 8 B 2 O 3 
 
 M 
 
 Rammelsberg 
 
 25 
 
 12 MO 
 
 4(5 R 2 3 
 
 6 Si0 2 ) 
 
 12 MO = 8.5 FeO 1.5 MgO 2 Na 2 O 
 
 Mursinka 
 
 Jannasch 
 
 
 
 6H 2 
 
 
 20 R 2 O 3 = 14 A1 2 O 3 6 B 2 O 3 
 
 
 and Calb 
 
 20 
 
 12 MO 
 
 4(5 R 2 3 
 
 6 Si0 2 ) 
 
 12 MO = 4.5 FeO 5.5 MgO 0.5 CaO 
 
 Stony 
 
 Riggs 
 
 
 
 8H 2 
 
 
 1.5 Na 2 O ; 20 R 2 O 3 = 13.5 A1 2 O 3 6.5 B 2 O 3 
 
 
 
 27 
 
 12 MO 
 
 4(5 R 2 3 
 
 6 Si0 2 ) 
 
 12 MO = 6 FeO 4 MgO 2 Na 2 O 
 
 Piedra 
 
 Jannasch 
 
 
 
 8H 2 
 
 
 20 R 2 O 3 = 13 A1 2 O 3 6 B 2 O 3 1 Fe 2 O 3 
 
 
 and Calb 
 
 B. Tourmalines of the type 
 
 R Si R Si R = 8 R 2 3 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 28 
 
 7 MO 
 
 2(8R 2 3 - 
 
 12 Si0 2 ) 
 
 7 MO = 3 FeO 0.5 CaO 1 MgO 0.5 K 2 O 
 
 Waldheim 
 
 Sauer 
 
 
 
 6H 2 O 
 
 
 2 Na 2 ; 16 R 2 O 3 = 14 A1 2 O 3 2 B 2 O 3 
 
 
 
 29 
 
 13 MO 
 
 2(8 R 2 3 
 
 12 SiO 2 ) 
 
 13 MO = 2 FeO 1 CaO 9 MgO 1 Na 2 O 
 
 Monroe 
 
 Rammelsberg 
 
 
 
 6H 2 
 
 
 16 R 2 O 3 = 11.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 
 30 
 
 14 MO 
 
 2(8R 2 O 3 - 
 
 12 Si0 2 ) 
 
 14 MO = 5 FeO 0.5 MnO-0.5 CaO-6.5 MgO 
 
 Elba 
 
 
 
 
 
 5H 2 O 
 
 
 1.5Na 2 O; 16 R 2 O 3 = 11 A1 2 O 3 5 B 2 O 3 
 
 
 
 31 
 
 14 MO 
 
 2(8R 2 O 3 - 
 
 12SiO 2 
 
 14MO = 4.5FeO- 1.5 CaO 7 MgO-1 Na 2 O 
 
 Tamatave 
 
 Jannasch 
 
 
 
 6H 2 O 
 
 
 16R 2 O 3 =10A1 2 O 3 -4.5B 2 O 3 - 1.5Fe 2 O 3 
 
 
 and Calb 
 
THE TOURMALINE GROUP 
 
 407 
 
 
 Si0 2 
 
 B 2 3 
 
 A1 2 S 
 
 Fe 2 o s 
 
 FeO 
 
 Ti0 2 
 
 MnO 
 
 CaO 
 
 Mgo 
 
 Li 2 o 
 
 Na 2 
 
 K 2 
 
 H 2 o 
 
 Fl 
 
 Total 
 
 Loss on 
 Ignition 
 
 Theory 
 LXIV 
 
 38.02 
 38.14 
 
 10.14 
 10.25 
 
 39.03 
 39.60 
 
 0.00 
 0.30 
 
 1.90 
 1.38 
 
 0.00 
 0.00 
 
 1.87 
 1.38 
 
 0.73 
 0.43 
 
 0.00 
 Trace 
 
 1.58 
 1.34 
 
 2.45 
 2.36 
 
 0.00 
 0.27 
 
 4.28 
 4.16 
 
 0.00 
 0.62 
 
 100.00 
 100.23 
 
 4.09 
 
 Theory 
 LXV 
 
 38.16 
 37.85 
 
 11.10 
 10.55 
 
 37.84 
 37.73 
 
 0.00 
 0.42 
 
 3.82 
 3.88 
 
 0.00 
 0.00 
 
 0.00 
 0.51 
 
 0.74 
 0.49 
 
 0.00 
 0.04 
 
 1.59 
 1.34 
 
 2.46 
 2.16 
 
 0.00 
 0.62 
 
 4.29 
 4.18 
 
 0.00 
 0.62 
 
 100.00 
 100.39 
 
 
 
 Theory 
 XXXII 
 
 36.91 
 36.79 
 
 9.84 
 9.51 
 
 30.06 
 30.56 
 
 11.70Cr 2 3 
 10.86Cr 2 O 3 
 
 2.77 
 2.91 
 
 0.00 
 0.00 
 
 0.00 
 Trace 
 
 0.72 
 0.72 
 
 4.10 
 4.47 
 
 1.59 
 1.36 
 
 0.00 
 0.00 
 
 0.00 
 
 Trace 
 
 2.31 
 2.25 
 
 0.00 
 0.65 
 
 100.00 
 100.08 
 
 
 
 Theory 
 XLI 
 
 37.68 
 37.40 
 
 10.05 
 10.74 
 
 38.69 
 39.02 
 
 0.00 
 0.00 
 
 2.82 
 2.35 
 
 0.00 
 0.00 
 
 2.79 
 2.57 
 
 0.73 
 0.60 
 
 0.00 
 0.20 
 
 1.17 
 1.33 
 
 3.25 
 3.59 
 
 0.00 
 0.29 
 
 2.82 
 3.08 
 
 0.00 
 0.98 
 
 100.00 
 102.15 
 
 z 
 
 Theory 
 XXXIX 
 
 37.48 
 36.91 
 
 9.99 
 9.87 
 
 38.49 
 38.13 
 
 0.00 
 0.31 
 
 2.81 
 3.19 
 
 0.00 
 0.00 
 
 2.77 
 2.22 
 
 0.73 
 0.38 
 
 0.00 
 0.04 
 
 1.56 
 1.61 
 
 2.42 
 2.70 
 
 0.00 
 0.28 
 
 3.75 
 3.64 
 
 0.00 
 0.14 
 
 100.00 
 99.42 
 
 3.62 
 
 Theory 
 LXIX 
 
 37.21 
 36.53 
 
 9.93 
 10.22 
 
 38.23 
 38.10 
 
 0.00 
 0.00 
 
 6.51 
 6.43 
 
 0.00 
 0.00 
 
 0.00 
 0.32 
 
 0.00 
 0.34 
 
 0.00 
 0.00 
 
 1.19 
 0.95 
 
 3.21 
 
 2.86 
 
 0.00 
 0.38 
 
 3.72 
 3.52 
 
 0.00 
 0.16 
 
 100.00 
 99.81 
 
 3.31 
 
 Theory 37.86 
 XXXVI 38.06 
 
 11.02 
 10.09 
 
 37.55 
 37.81 
 
 0.00 
 0.00 
 
 5.68 
 5.83 
 
 0.00 
 0.00 
 
 0.93 
 1.13 
 
 0.00 
 0.00 
 
 1.05 
 0.92 
 
 1.58 
 1.30 
 
 2.44 
 2.21 
 
 0.00 
 0.42 
 
 1.89 
 2.23 
 
 0.00 
 0.70 
 
 100.00 
 100.70 
 
 
 
 Theory 
 LXVI 
 
 36.39 
 36.26 
 
 9.70 
 9.94 
 
 37.37 
 
 36.68 
 
 0.00 
 0.15 
 
 7.28 
 7.07 
 
 0.00 
 0.00 
 
 0.90 
 0.72 
 
 0.00 
 0.17 
 
 0.00 
 0.16 
 
 1.14 
 1.05 
 
 3.13 
 
 2.88 
 
 0.00 
 0.44 
 
 4.09 
 4.05 
 
 0.00 
 0.71 
 
 100.00 
 100.28 
 
 - 
 
 Theory 
 VII 
 
 35.99 
 36.38 
 
 7.85 
 8.12 
 
 39.50 
 39.77 
 
 0.00 
 0.00 
 
 4.50 
 4.17 
 
 0.00 
 0.00 
 
 2.66 
 2.83 
 
 0.00 
 0.00 
 
 0.00 
 0.00 
 
 1.50 
 1.54 
 
 2.33 
 1.93 
 
 1.17 
 0.93 
 
 4.50 
 4.29 
 
 0.00 
 0.00 
 
 100.00 
 100.00 
 
 - 
 
 Theory 
 XXXIV 
 
 36.87 
 36.86 
 
 10.74 
 10.56 
 
 36.56 
 36.72 
 
 0.00 
 0.00 
 
 5.53 
 5.66 
 
 0.00 
 0.00 
 
 0.91 
 0.66 
 
 0.00 
 0.34 
 
 4.10 
 3.92 
 
 0.00 
 0.00 
 
 3.17 
 3.57 
 
 1.20 
 1.11 
 
 0.92 
 1.16 
 
 0.00 
 0.61 
 
 100.00 
 101.17 
 
 
 
 Theory 
 X 
 
 35.97 
 36.11 
 
 10.47 
 11.64 
 
 35.67 
 35.46 
 
 0.00 
 0.00 
 
 13.49 
 13.17 
 
 0.00 
 0.00 
 
 0.00 
 0.28 
 
 0.00 
 0.00 
 
 1.50 
 1.52 
 
 0,00 
 0.00 
 
 0.55 
 0.98 
 
 0.00 
 0.09 
 
 1.35 
 1.26 
 
 0.00 
 0.41 
 
 100.00 
 100.92 
 
 
 
 Theory 
 LVIII 
 
 36.18 
 36.22 
 
 12.28 
 10.65 
 
 33.31 
 33.35 
 
 0.00 
 0.00 
 
 11.75 
 11.95 
 
 0.00 
 0.00 
 
 0.89 
 1.25 
 
 0.00 
 0.00 
 
 1.00 
 0.63 
 
 0.75 
 0.84 
 
 1.56 
 1.75 
 
 0.00 
 0.40 
 
 2.26 
 2.21 
 
 0.00 
 0.82 
 
 100.00 
 100.07 
 
 
 
 Theory 
 LXVII 
 
 35.04 
 34.99 
 
 10.20 
 9.63 
 
 34.76 
 33.96 
 
 - 
 
 14.02 
 14.23 
 
 - 
 
 0.06 
 
 0.15 
 
 0.97 
 1.01 
 
 Trace 
 
 1.51 
 2.01 
 
 0.34 
 
 3.50 
 3.62 
 
 0.00 
 
 100.00 
 100.00 
 
 2.17 
 
 Theory 
 LXIII 
 
 35.09 
 35.03 
 
 9.34 
 9.02 
 
 36.04 
 34.44 
 
 1.13 
 
 12.28 
 12.10 
 
 
 
 0.00 
 0.08 
 
 0.00 
 0.24 
 
 .46 
 .81 
 
 0.00 
 0.07 
 
 2.27 
 2.03 
 
 0.25 
 
 3.50 
 3.69 
 
 0.00 
 
 100.00 
 99.89 
 
 2.30 
 
 Theory 
 XXVIII 
 
 35.32 
 35.41 
 
 11.14 
 10.14 
 
 33.78 
 33.75 
 
 
 
 13.25 
 13.42 
 
 
 
 Trace 
 
 0.17 
 
 .47 
 .57 
 
 ~ 
 
 1.52 
 
 2.08 
 
 0.34 
 
 3.53 
 3.41 
 
 0.28 
 
 100.00 
 100.57 
 
 
 Theory 
 XXVII 
 
 35.76 
 36.19 
 
 13.88 
 12.79 
 
 30.40 
 30.40 
 
 
 
 15.20 
 15.59 
 
 
 0.88 
 0.54 
 
 ~ 
 
 .98 
 .88 
 
 
 0.77 
 1.04 
 
 0.47 
 
 1.11 
 1.11 
 
 0.76 
 
 100.00 
 100.76 
 
 
 
 Theory 
 XXIX 
 
 34.35 
 
 34.88 
 
 9.99 
 8.94 
 
 34.07 
 34.58 
 
 - 
 
 14.62 
 14.40 
 
 0.27 
 
 0.24 
 
 0.20 
 
 .43 
 1.32 
 
 ~ 
 
 2.96 
 2.70 
 
 0.05 
 
 2.58 
 
 2.87 
 
 0.51 
 
 100.00 
 100.96 
 
 
 
 Theory 
 XLIV 
 
 35.30 
 35.56 
 
 11.12 
 10.40 
 
 33.75 
 33.38 
 
 
 
 7.94 
 8.43 
 
 0.55 
 
 0.04 
 
 0.69 
 0.53 
 
 5.39 
 5.44 
 
 Trace 
 
 2.28 
 2.16 
 
 0.24 
 
 3.53 
 3.63 
 
 0.00 
 
 100.00 
 100.36 
 
 2.86 
 
 Theory 
 XLIII 
 
 34.24 
 34.73 
 
 9.96 
 9.64 
 
 31.53 
 31.69 
 
 3.81 
 3.18 
 
 10.28 
 10.14 
 
 0.30 
 
 0.16 
 
 0.36 
 
 3.81 
 3.47 
 
 
 
 2.95 
 2.85 
 
 0.15 
 
 3.42 
 3.44 
 
 0.47 
 
 100.00 
 100.58 
 
 
 
 or the general formula 
 
 m MO 2 (8 R 2 O 3 12 Si0 2 ) n H 2 0. 
 
 
 Si0 2 
 
 B 2 O 3 
 
 Al,0, |Fe 2 3 | FeO 
 
 Ti0 2 
 
 MnO 
 
 CaO 
 
 MgO 
 
 Li 2 o Na 2 o 
 
 K 2 
 
 H 2 o 
 
 Fl 
 
 Total 
 
 Theory 
 
 36.64 
 
 3.55 
 
 36.33 
 
 
 
 5.49 
 
 
 
 _ 
 
 0.71 
 
 10.18 
 
 
 
 3.15 
 
 1.19 
 
 2.76 
 
 
 
 100.00 
 
 III 
 
 36.35 
 
 4.61 
 
 35.76 
 
 
 
 4.78 
 
 0.41 SnO 2 
 
 
 
 0.47 
 
 10.01 
 
 
 
 3.89 
 
 1.22 
 
 2.87 
 
 
 
 99.67 
 
 Theory 
 
 39.38 
 
 8.59 
 
 32.07 
 
 
 
 3.94 
 
 
 
 
 
 1.54 
 
 9.84 
 
 
 
 1.69 
 
 
 
 2.95 
 
 
 
 100.00 
 
 LIII 
 
 39.01 
 
 8.95 
 
 31.18 
 
 
 
 4.07 
 
 
 
 
 
 1.81 
 
 9.90 
 
 
 
 1.82 
 
 0.44 
 
 2.82 
 
 
 
 100.00 
 
 Theory 
 
 38.13 
 
 9.24 
 
 29.71 
 
 
 
 9.53 
 
 
 
 0.94 
 
 0.74 
 
 6.87 
 
 
 
 2.46 
 
 
 
 2.38 
 
 
 
 100.00 
 
 XVII 
 
 38.20 
 
 9.03 
 
 30.02 
 
 
 
 9.93 
 
 
 
 0.58 
 
 0.74 
 
 6.87 
 
 
 
 2.19 
 
 0.25 
 
 2.29 
 
 0.15 
 
 100.15 
 
 Theory 
 
 37.19 
 
 8.12 
 
 26.34 
 
 6.20 
 
 8.37 
 
 
 
 
 
 2.16 
 
 7.23 
 
 
 
 1.60 
 
 
 
 2.80 
 
 
 
 100.00 
 
 LXXIII 
 
 35.48 
 
 9.49 
 
 25.83 
 
 6.68 
 
 7.99 
 
 1.22 
 
 Trace 
 
 2.03 
 
 6.90 
 
 
 
 1.92 
 
 0.29 
 
 2.58 
 
 0.33 
 
 100.74 
 
408 
 
 THE TOURMALINE GROUP 
 
 
 
 
 Source 
 
 Analyst 
 
 32 
 
 15 MO 
 
 2(8 R 2 3 
 
 12SiO 2 ) 
 
 15 MO = 4.5 FeO 1 CaO 8 MgO 0.5 K 2 O 
 
 Haddam 
 
 Rammels- 
 
 
 
 4H 2 
 
 
 1 Na 2 O ; 16 B 2 O 8 = 11.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 berg 
 
 33 
 
 15 MO 
 
 2(8 R 2 3 
 
 12SiO 2 ) 
 
 15 MO = 2 FeO 0.5 CaO-11 MgO-1.5 Na 2 O 
 
 Eibenstock 
 
 it 
 
 
 
 6H 2 O 
 
 
 16 R 2 O 3 =11.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 
 34 
 
 16 MO 
 
 2(8 R 2 3 
 
 12 Si0 2 ) 
 
 16 MO = 6 FeO 0.5 CaO 8 MgO 0.5 K 2 O 
 
 Snarum 
 
 ?> 
 
 
 
 4H 2 O 
 
 
 1 Na 2 O ; 16 R 2 O 3 = 11 A1 2 O 3 5 B 2 O 3 
 
 
 
 35 
 
 16 MO 
 
 2(8 R 2 3 
 
 12 SiO a ) 
 
 16 MO = 0.5 FeO-1 CaO-14 MgO-0.5 Na 2 O 
 
 Gouverneur 
 
 H 
 
 
 
 5H 2 
 
 
 16 R 2 O 3 = 11.5 A1 2 3 4.5 B 2 O 3 
 
 
 
 36 
 
 17 MO 
 
 2(8 R 2 3 
 
 12 SiO 2 ) 
 
 17 M0 = 0.5 FeO-2 CaO-13.5 MgO-1 Na 2 O 
 
 ,, 
 
 Riggs 
 
 
 
 8H 2 
 
 
 16 R 2 O 3 = 10.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 37 
 
 18 MO 
 
 2(8 R 2 O 3 
 
 12SiO 2 ) 
 
 18 MO = 0.5 FeO-2.5 CaO-14 MgO-1 Na 2 O 
 
 Dekabb 
 
 M 
 
 
 
 8H 2 O 
 
 
 16 R 2 O 3 = 11 A1 2 O 3 5 B 2 O 3 
 
 
 
 38 
 
 19 MO 
 
 2(8 R 2 O 3 
 
 12SiO 2 ) 
 
 19 MO = 4.5 FeO-2.5 CaO-11 MgO-1 Na 2 O 
 
 Pierrepont 
 
 If 
 
 
 
 8H 2 O 
 
 
 16 R 2 O 3 = 10 A1 2 O 3 6 B 2 O 3 
 
 
 
 C. Tourmalines of the type 
 R - S A i R Si R = 9 R 2 3 - 12 Si0 2 
 
 
 
 
 Source 
 
 Analyst 
 
 39 
 
 3 MO 2(9 R 2 3 
 
 12SiO 2 ) 
 
 3 MO = 0.5 MnO-0.5 MgO-1 Na 2 O-l K 2 O 
 
 Rozna 
 
 Rammels- 
 
 
 5H 2 
 
 
 18 R 2 O 3 = 14 A1 2 O 3 4 B 2 O 3 
 
 
 berg 
 
 40 
 
 5 MO 2(9 R 2 O 3 
 
 12Si0 2 ) 
 
 5 MO = 2.5 FeO-0.5 MnO-0.5 MgO-1.5 Na 2 O 
 
 Campol 
 
 Engel- 
 
 
 5H 2 O 
 
 
 18 R 2 O 3 = 13.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 mann 
 
 41 
 
 8 MO 2(9 R 2 O 3 
 
 12 SiO 2 ) 
 
 8 MO = 3.5 FeO- 0.5 MnO- 1.5MgO-lLi 2 O 
 
 Chester- 
 
 Rammels- 
 
 
 5H 2 
 
 
 1.5 Na 2 O ; 18 R 2 O 3 = 13.5 Al 2 O 3 -4.5 B 2 O 3 
 
 field 
 
 berg 
 
 42 
 
 10 MO 2(9 R 2 O 3 
 
 12 Si0 2 ) 
 
 10 MO = 5.5 FeO 1.5 MnO-1 MgO-1.5 Na 2 O 
 
 Sarapulka 
 
 H 
 
 
 3H 2 O 
 
 
 0.5 H 2 O ; 18 R 2 O 3 = 11.5 A1 2 O 3 6.5 B 2 O 3 
 
 
 
 43 
 
 10MO-2(9R 2 3 - 
 
 12 Si0 2 ) 
 
 10 MO = 5.5 FeO-1 MnO-1.5 MgO-1.5 Na 2 O 
 
 Elba 
 
 M 
 
 
 4H 2 
 
 
 0.5 K 2 O ; 18 R 2 O 3 = 13 A1 2 O 3 5 B 2 O 3 
 
 
 
 44 
 
 11MO-2(9R 2 O 3 - 
 
 12Si0 2 ) 
 
 11 MO = 8 FeO 0.5 MgO 2.5 Na 2 O 
 
 Buchw. 
 
 Jannasch 
 
 
 8H 2 O 
 
 
 18 R 2 O 3 = 13.5 A1 2 O 3 4.5 B 2 O 3 
 
 
 and Calb 
 
 45 
 
 11MO-2(9R 2 3 - 
 
 12SiO 2 ) 
 
 11 MO = 9 MgO 1.5 Na 2 O 0.5 CaO 
 
 Maryland 
 
 Gill 
 
 
 8H 2 
 
 
 18R 2 O 3 =12.5A1 2 O 3 -4.5B 2 O 3 - 1 Cr 2 O 3 
 
 
 
 46 
 
 11MO-2(9R 2 3 - 
 
 12SiO 2 ) 
 
 11 MO = 4.5 FeO 0.5 CaO 4 MgO- 2 Na 2 O 
 
 Tamaya 
 
 Schwarz 
 
 
 9H 2 
 
 
 18 R 2 O 3 = 12.5 A1 2 O 3 5.5 B 2 O 3 
 
 
 
 47 
 
 12MO-2(9R 2 O 3 - 
 
 12 SiO 2 ) 
 
 12 MO = 6.5 FeO-0.5 CaO-3.5 MgO-1 Na 2 O 
 
 Langenb. 
 
 Rammels- 
 
 
 3H 2 O 
 
 
 0.5 K 2 ; 18 R 2 3 = 12 A1 2 O 3 6 B 2 O 3 
 
 
 berg 
 
 48 
 
 12MO-2(9R 2 O 3 - 
 
 12SiO 2 ) 
 
 12 MO = 6.5 FeO 0.5 CaO 4 MgO 1 Na 2 O 
 
 Krumrn 
 
 ,, 
 
 
 3H 2 O 
 
 
 18R 2 3 =13A1 2 3 -5B 2 3 
 
 
 
 49 
 
 12MO-2(9R 2 O 3 - 
 
 12 SiO 2 ) 
 
 12 M0 = 9.5 FeO 0.5 CaO 1 MgO 1 Na 2 O 
 
 Andreasb. 
 
 ,, 
 
 
 4H 2 
 
 
 18R 2 3 =12A1 2 3 -6B 2 3 
 
 
 
 50 
 
 12 MO 2(9 R 2 O 3 - 
 
 12SiO 2 ) 
 
 12 MO = 7.5 FeO-0.5 CaO-2.5 MgO-0.5 K 2 O 
 
 Bovey 
 
 
 
 
 4H 2 
 
 
 1 Na 2 O ; 18 R 2 O 3 = 11.5 Al a O 3 6.5 B 2 O 3 
 
 Tracey 
 
 
 51 
 
 12MO-2(9R 2 O 3 - 
 
 12SiO 2 ) 
 
 12 MO = 7 FeO 0.5 CaO 2.5 MgO 1 MnO 
 
 Krumm 
 
 
 
 
 5H 2 
 
 
 1 Na 2 O ; 18 R 2 O 3 = 12.5 Al 2 O 3 -5.5 B 2 O 3 
 
 
 
 52 
 
 12 MO 2(9 R 2 O 3 
 
 12 SiO 2 ) 
 
 12 M0 = 1.5 FeO-0.5 CaO-8.5 MgO-0.5 K 2 O 
 
 Texas 
 
 ,, 
 
 
 6H 2 O 
 
 
 1 Na 2 O ; 18 R 2 O 3 = 13 A1 2 O 3 5 B 2 O 3 
 
 
 
 63 
 
 12MO-2(9R 2 O 3 - 
 
 12 SiO 2 ) 
 
 12 MO = 8 FeO - 0.5 CaO 2 MgO 1.5 Na 2 O 
 
 Brazil 
 
 Biggs 
 
 
 8H 2 O 
 
 
 18R 2 3 =13A1 2 3 -5B 2 O 3 
 
 
 
 54 
 
 12MO-2(9R 2 O 3 - 
 
 12 SiO a ) 
 
 12 MO = 7.5 FeO 1 MnO 1.5 MgO-0.5 K 2 O 
 
 Schutten- 
 
 Scharizer 
 
 
 9H 2 
 
 
 1.5 Na 2 ; 18 R 2 O 3 = 14 A1 2 O 3 4 B 2 O 3 
 
 hofen 
 
 
THE TOURMALINE GROUP 
 
 409 
 
 
 SiO 
 
 B a o, 
 
 AlgO s 
 
 Fe a o a 
 
 FeO 
 
 TiO 
 
 MnO 
 
 CaO 
 
 MgO 
 
 Li,o 
 
 Nao 
 
 K,0 
 
 H,o 
 
 Fl 
 
 Total 
 
 Loss on 
 Ignition 
 
 Theory 
 LV 
 
 37.81 
 37.50 
 
 8.25 
 9.02 
 
 30.80 
 30.87 
 
 
 
 8.52 
 8.54 
 
 z 
 
 z 
 
 1.47 
 1.33 
 
 8.40 
 8.60 
 
 z 
 
 1.63 
 1.60 
 
 1.23 
 0.73 
 
 1.89 
 1.81 
 
 
 
 100.00 
 100.00 
 
 
 
 Theory 
 II 
 
 38.50 
 37.75 
 
 8.40 
 9.14 
 
 31.36 
 30.86 
 
 - 
 
 3.85 
 4.36 
 
 ~ 
 
 - 
 
 0.75 
 0.88 
 
 11.76 
 11.62 
 
 z 
 
 2.49 
 2.27 
 
 0.30 
 
 2.89 
 2.82 
 
 
 
 100.00 
 100.00 
 
 ____^ 
 
 Theory 
 XXV 
 
 37.20 
 37.22 
 
 9.02 
 9.73 
 
 28.98 
 30.00 
 
 
 
 11.16 
 11.16 
 
 ~ 
 
 - 
 
 0.72 
 0.65 
 
 8.26 
 7.94 
 
 - 
 
 1.60 
 1.13 
 
 1.21 
 0.53 
 
 1.85 
 1.64 
 
 0.55 
 
 100.00 
 100.55 
 
 
 Theory 
 XLVII 
 
 38.91 
 38.85 
 
 8.49 
 8.35 
 
 31.70 
 31.32 
 
 z 
 
 0.98 
 1.14 
 
 ~ 
 
 - 
 
 1.51 
 1.60 
 
 15.13 
 14.89 
 
 
 
 0.84 
 1.28 
 
 0.26 
 
 2.44 
 2.31 
 
 ~ 
 
 100.00 
 100.00 
 
 z 
 
 Theory 
 XLIX 
 
 38.00 
 37.39 
 
 10.14 
 10.73 
 
 28.26 
 
 27.79 
 
 0.10 
 
 0.95 
 0.64 
 
 1.19 
 
 
 
 2.96 
 
 2.78 
 
 14.25 
 14.09 
 
 Trace 
 
 1.64 
 1.72 
 
 0.16 
 
 3.80 
 3.83 
 
 Trace 
 
 100.00 
 100.42 
 
 
 
 Theory 
 LII 
 
 37.37 
 
 36.88 
 
 9.06 
 10.58 
 
 29.12 
 
 28.87 
 
 
 
 0.93 
 0.52 
 
 0.12 
 
 
 
 3.63 
 3.70 
 
 14.54 
 14.53 
 
 Trace 
 
 1.61 
 1.39 
 
 0.18 
 
 3.74 
 3.56 
 
 0.50 
 
 100.00 
 100.83 
 
 
 
 Theory 
 L 
 
 36.09 
 35.61 
 
 10.50 
 10.15 
 
 25.57 
 25.29 
 
 0.44 
 
 8.12 
 8.19 
 
 0.55 
 
 Trace 
 
 3.51 
 3.31 
 
 11.03 
 11.07 
 
 Trace 
 
 1.55 
 1.51 
 
 0.20 
 
 3.63 
 3.34 
 
 0.27 
 
 100.00 
 99.93 
 
 2.69 
 
 or the general formula 
 
 m MO 2 (9 R 2 3 - 12 Si0 2 ) n H 2 0. 
 
 
 SiO a 
 
 B 8 o, 
 
 Al,0, 
 
 Fe 2 0, 
 
 FeO 
 
 TiO, 
 
 MnO 
 
 CaO 
 
 MgO 
 
 Li,0 JNa,C 
 
 > K,0 
 
 H.OJ Fl 
 
 Total 
 
 Theory 
 IX 
 
 41.75 
 41.16 
 
 8.10 
 8.93 
 
 41.40 
 41.83 
 
 
 
 
 
 
 
 1.03 
 0.95 
 
 
 
 0.58 
 0.61 
 
 0.41 
 
 1.80 
 1.37 
 
 2.73 
 2.17 
 
 2.61 
 2.57 
 
 1.19 
 
 100.00 
 101.19 
 
 Theory 
 XV 
 
 40.57 
 39.26 
 
 8.86 
 9.40 
 
 38.80 
 38.33 
 
 
 
 5.06 
 4.51 
 
 
 
 1.00 
 1.12 
 
 
 
 0.56 
 1.02 
 
 
 
 2.61 
 2.43 
 
 0.38 
 
 2.54 
 2.41 
 
 0.61 
 
 100.00 
 99.46 
 
 Theory 
 LVII 
 
 39.01 
 38.46 
 
 8.51 
 9.73 
 
 37.29 
 36.80 
 
 
 
 6.83 
 6.38 
 
 
 
 0.96 
 0.78 
 
 
 1.63 
 
 1.88 
 
 0.81 
 0.72 
 
 2.52 
 2.47 
 
 0.47 
 
 2.44 
 2.31 
 
 0.55 
 
 100.00 
 100.55 
 
 Theory 
 XXX 
 
 38.24 
 38.30 
 
 12.06 
 11.62 
 
 31.15 
 31.53 
 
 
 
 10.52 
 10.30 
 
 
 
 2.83 
 2.68 
 
 
 1.06 
 1.06 
 
 
 
 2.47 
 2.37 
 
 0.33 
 
 1.67 
 1.81 
 
 0.80 
 
 100.00 
 100.80 
 
 Theory 
 XVIII 
 
 37.35 
 37.14 
 
 9.06 
 9.37 
 
 34.41 
 34.15 
 
 
 
 10.28 
 10.52 
 
 
 
 1.84 
 1.87 
 
 
 1.56 
 1.68 
 
 0.32 
 
 2.41 
 2.30 
 
 1.22 
 0.75 
 
 1.87 
 1.90 
 
 0.47 
 
 100.00 
 100.47 
 
 Theory 
 XXXIII 
 
 35.77 
 35.50 
 
 7.80 
 8.34 
 
 34.20 
 34.39 
 
 - 
 
 14.30 
 14.26 
 
 
 Trace 
 
 Trace 
 
 0.50 
 0.51 
 
 Trace 
 
 3.85 
 3.43 
 
 
 
 3.58 
 3.34 
 
 0.77 
 
 100.00 
 100.54 
 
 Theory 
 XLV 
 Theory 
 XXXV 
 
 37.83 
 36.56 
 
 36.96 
 36.34 
 
 8.25 
 8.90 
 
 9.86 
 10.87 
 
 33.49 
 32.58 
 
 32.72 
 32.22 
 
 4.00 Cr 2 0, 
 4.32Cr 2 3 
 
 0.79Fe 2 3 
 
 8.30 
 8.31 
 
 0.09 
 
 Trace 
 
 0.74 
 0.75 
 
 0.72 
 0.79 
 
 9.46 
 9.47 
 
 4.10 
 3.92 
 
 Trace 
 
 2.44 
 2.22 
 
 3.18 
 3.14 
 
 0.13 
 0.22 
 
 3.78 
 3.74 
 
 4.16 
 3.89 
 
 0.06 
 
 100.00 
 99.70 
 
 100.00 
 99.70 
 
 Theory 
 IV 
 
 37.09 
 37.24 
 
 10.79 
 11.02 
 
 31.53 
 31.63 
 
 
 
 12.06 
 11.64 
 
 ___ 
 
 ~ 
 
 0.72 
 0.62 
 
 3.61 
 3.65 
 
 ~ 
 
 1.60 
 1.93 
 
 1.21 
 
 0.82 
 
 1.39 
 1.45 
 
 
 
 100.00 
 100.00 
 
 Theory 
 V 
 
 37.05 
 36.43 
 
 8.98 
 9.82 
 
 34.11 
 34.12 
 
 - 
 
 12.04 
 11.58 
 
 - 
 
 
 
 0.72 
 0.44 
 
 4.12 
 3.84 
 
 - 
 
 1.59 
 1.36 
 
 0.30 
 
 1.39 
 2.11 
 
 
 
 100.00 
 100.00 
 
 Theory 
 I 
 
 36.28 
 36.06 
 
 10.56 
 11.11 
 
 30.84 
 30.34 
 
 
 
 17.23 
 17.40 
 
 - 
 
 0.11 
 
 0.71 
 0.72 
 
 1.00 
 0.78 
 
 ~ 
 
 1.56 
 1.36 
 
 0.58 
 
 1.82 
 1.54 
 
 0.85 
 
 100.00 
 100.85 
 
 Theory 
 XXI 
 
 36.77 
 37.94 
 
 11.60 
 10.72 
 
 29.96 
 30.22 
 
 ___ 
 
 13.79 
 13.82 
 
 - 
 
 0.40 
 
 0.71 
 0.50 
 
 2.55 
 2.62 
 
 ~ 
 
 1.58 
 1.39 
 
 1.20 
 0.65 
 
 1.84 
 1.74 
 
 0.45 
 
 100.00 
 100.45 
 
 Theory 
 XII 
 
 36.42 
 36.25 
 
 9.71 
 10.27 
 
 32.24 
 32.21 
 
 
 
 12.75 
 12.82 
 
 
 
 1.80 
 1.50 
 
 0.70 
 0.40 
 
 2.53 
 
 2.32 
 
 
 
 1.57 
 1.43 
 
 0.46 
 
 2.28 
 2.34 
 
 0.64 
 
 100.00 
 100.64 
 
 Theory 
 XLVII 
 
 37.81 
 38.45 
 
 9.17 
 
 8.57 
 
 34.82 
 34.56 
 
 
 
 2.84 
 2.98 
 
 0.09 
 
 
 
 0.73 
 0.71 
 
 8.93 
 9.11 
 
 
 
 1.62 
 2.00 
 
 1.23 
 0.73 
 
 2.84 
 2.80 
 
 
 
 100.00 
 100.00 
 
 Theory 
 XL 
 
 35.68 
 34.63 
 
 8.65 
 9.63 
 
 32.86 
 32.70 
 
 0.31 
 
 14.27 
 13.67 
 
 
 
 0.12 
 
 0.69 
 0.33 
 
 1.98 
 2.13 
 
 0.08 
 
 2.30 
 2.11 
 
 0.24 
 
 3.57 
 3.49 
 
 0.06 
 
 100.00 
 99.52 
 
 Theory 
 VI 
 
 34.95 
 35.10 
 
 6.78 
 7.09 
 
 34.65 
 35.10 
 
 .. 
 
 13.10 
 13.36 
 
 0.08 SnO 2 
 
 1.72 
 1.48 
 
 
 
 1.46 
 0.98 
 
 ~ 
 
 2.26 
 1.92 
 
 1.14 
 
 0.88 
 
 3.94 
 4.01 
 
 __ 
 
 100.00 
 100.00 
 
410 
 
 THE TOURMALINE GROUP 
 
 
 
 
 Source 
 
 Analyst 
 
 55 
 
 13 MO 
 
 2(9 R 2 3 
 5H 2 
 
 12SiO 2 ) 
 
 13 MO = 7 FeO-0.5 MnO-3.5 MgO-1.5 Na 2 O 
 0.5H 2 O; 18R 2 O 3 =12A1 2 O 3 - 6B 2 O 3 
 
 Dekalb 
 
 Rammels- 
 berg 
 
 50 
 
 13 MO 
 
 2(9R 2 3 - 
 6H 2 
 
 12 SiO 2 ) 
 
 13 MO = 1.5 FeO 10 MgO 1.5 Na 2 O 
 18 R 2 O 3 = 12 A1 2 O 3 6 B 2 O 3 
 
 Zillertal 
 
 5 
 
 57 
 
 13 MO 
 
 2(9 R 2 3 
 6 H 2 
 
 12 SiO 2 ) 
 
 13 MO=4 FeO 1 CaO 7 MgO 1 Na 2 O 
 18R 2 3 =12A1 2 3 -6B 2 3 
 
 St. Gott- 
 hard 
 
 > 
 
 58 
 
 13 MO 
 
 2(9 R 2 3 
 6H 2 
 
 12SiO 2 ) 
 
 13 MO = 1.5 FeO-0.5 CaO-10 MgO-1 Na 2 O 
 18 R 2 O 3 = 12.5 A1 2 O 3 5.5 B 2 O 3 
 
 Orford 
 
 n 
 
 59 
 
 13 MO 
 
 2(9 R 2 O 3 
 8H 2 O 
 
 12 SiO 2 ) 
 
 13 MO = 2 FeO -0.5 CaO-9 MgO-1.5 Na 2 O 
 18 R 2 O 3 = 12 A1 2 O 3 6 B 2 O 3 
 
 Monroe 
 
 Riggs 
 
 GO 
 
 14 MO 
 
 2(9 R 2 O 3 
 4H 2 O 
 
 12 Si0 2 ) 
 
 14 MO = 0.5 FeO-1 CaO-11 MgO-1.5 Na 2 O 
 18R 2 3 =12A1 2 3 -6B 2 3 
 
 Dobrawa 
 
 Raminels- 
 berg 
 
 61 
 
 14 MO 
 
 2(9 R 2 3 
 6H 2 
 
 12 Si0 2 ) 
 
 14MO = 2.5FeO-lCaO-9MgO-1.5Na 2 O 
 18R 2 3 =13A1 2 3 -5B 2 3 
 
 Godhaab 
 
 - 
 
 62 
 
 14 MO 
 
 2(9 R 2 3 
 7H 2 
 
 12 Si0 2 ) 
 
 14 MO = 3 FeO 1 CaO 8 MgO 2 Na 2 O 
 18 R 2 3 = 12 A1 2 3 5 B 2 3 1 Fe 2 O 3 
 
 Ohlapian 
 
 Jannasch 
 
 63 
 
 HMO 
 
 2(9R 2 3 - 
 8H 2 O 
 
 12SiO 2 ) 
 
 UMO = 1.5FeO- 1 CaO-10MgO-1.5Na 2 O 
 18 R 2 O 3 = 12.5 A1 2 O 3 5.5 B 2 O 3 
 
 Orford 
 
 Riggs 
 
 64 
 
 14 MO 
 
 2(9R 2 3 - 
 8H 2 
 
 12Si0 2 ) 
 
 14 MO = 7 FeO-0.5 CaO-4.5 MgO-1.5Na 2 O 
 0.5 H 2 O ; 18 R 2 O 3 = 12.5 Al 2 O 3 -5.5 B 2 O 3 
 
 Haddam 
 
 " 
 
 65 
 
 15 MO 
 
 2(9R 2 3 - 
 5H 2 
 
 12SiO 2 ) 
 
 15 MO = 4 FeO-0.5 CaO-9.5 MgO-1 Na 2 O 
 18 R 2 O 3 = 12 A1 2 O 3 6 B 2 O 3 
 
 Kragerfi 
 
 Rammels- 
 berg 
 
 66 
 
 15 MO 
 
 2(9 R 2 3 
 6H 2 O 
 
 12SiO 2 ) 
 
 15 M0 = 3.5 FeO-1.5 CaO-8 MgO-2 Na 2 O 
 18 R 2 O 3 = 11.5 A1 2 O 3 6 B 2 O 3 -0.5 Fe 2 O 3 
 
 Snarum 
 
 Jannasch 
 and Calb 
 
 67 
 
 15 MO 
 
 2(9R 2 3 - 
 8H 2 
 
 12SiO 2 ) 
 
 15 MO = 4.5 FeO-1.5 CaO-8 MgO-1 Na 2 O 
 18 R 2 O 3 = 12 A1 2 O 3 6 B 2 O 3 
 
 Baffins- 
 land 
 
 Riggs 
 
 6S 
 
 16 MO 
 
 2(9R 2 O 3 - 
 4H 2 
 
 12 Si0 2 ) 
 
 16 MO = 7.5 FeO-0.5 CaO-6.5 MgO-1.5Na 2 O 
 18R 2 3 =12A1 2 8 -6B 2 3 
 
 Unity 
 
 Rammels- 
 berg 
 
 69 
 
 20 MO 
 
 2(9 R 2 3 
 7H 2 
 
 12Si0 2 ) 
 
 20 MO = 0.5 FeO-4 CaO-15 MgO-0.5 Na 2 O 
 18 R 2 O 3 =11.5 A1 2 O 3 6.5 B 2 O 3 
 
 Hambg. 
 
 Riggs 
 
 The Fel- 
 
 The following analyses of the minerals of the 
 
 A. Si R S A i Si R Si = 5 R 2 3 22 Si0 2 , 
 
 B. Si R Si Si R Si = 5 R 2 3 24 Si0 2 , 
 C. Si R Si Si R Si = 6 R 2 3 20 Si0 2 , 
 
 A. Felspars of the type 
 Si R Si Si R Si = 5 R 2 3 22 Si0 2 
 
 1 
 
 
 
 Source 
 
 1 
 
 3 MO 
 
 5 R 2 O 3 
 
 22 SiO 2 
 
 3MO = 1 
 
 5 Na 2 O-0.5 CaO-0.5 MgO 0.5 K 2 O 
 
 Oligoclase 
 
 Cape Wrath 
 
 
 
 1H 2 O 
 
 
 5R 
 
 2 O 3 =4.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 
 
 2 
 
 4 MO 
 
 5 R 2 O 3 
 
 22 SiO 2 
 
 4MO = 
 
 = 1.5 Na 2 O 1.75 CaO 0.5 MgO 
 
 Andesine 
 
 Ale bei 
 
 
 
 2H 2 O 
 
 
 
 0.25K 2 O 
 
 
 Lima 
 
 3 
 
 4 MO 
 
 5 A1 2 3 
 
 22 SiO 2 
 
 4MO = 
 
 1.75 Na 2 O 1.75 CaO 0.25 MgO 
 
 w 
 
 Marmato bei 
 
 
 
 1 H 2 O 
 
 
 
 0.25 K 2 O 
 
 
 Popayan 
 
THE FELSPAR GROUP 
 
 411 
 
 
 SiO, 
 
 B,0, 
 
 A1.0, 
 
 FejO, 
 
 FeO 
 
 Ti0 2 
 
 MnO 
 
 CaO 
 
 MgO 
 
 Li 2 o 
 
 Na 2 
 
 K0 
 
 H 2 
 
 Fl 
 
 Total 
 
 Loss on 
 Ignition 
 
 Theory 
 
 36.42 
 
 10.60 
 
 30.95 
 
 
 
 12.74 
 
 
 
 0.90 
 
 
 
 3.54 
 
 
 
 2.35 
 
 
 
 2.50 
 
 
 
 100.00 
 
 
 
 LI 
 
 37.07 
 
 9.70 
 
 31.86 
 
 
 
 12.55 
 
 
 
 0.51 
 
 
 
 3.49 
 
 
 
 2.04 
 
 0.30 
 
 2.48 
 
 0.31 
 
 100.31 
 
 
 
 Theory 
 
 37.97 
 
 11.05 
 
 32.28 
 
 
 
 2.85 
 
 
 
 
 
 
 
 10.55 
 
 
 
 2.45 
 
 
 
 2.85 
 
 
 
 100.00 
 
 
 
 XIV 
 
 38.51 
 
 9.52 
 
 32.65 
 
 
 
 2.80 
 
 
 
 0.36 
 
 0.16 
 
 10.46 
 
 
 
 2.13 
 
 0.37 
 
 3.04 
 
 0.36 
 
 100.36 
 
 
 
 Theory 
 
 37.14 
 
 10.87 
 
 31.57 
 
 
 
 7.43 
 
 
 
 
 
 1.44 
 
 7.21 
 
 
 
 1.60 
 
 
 
 2.80 
 
 
 
 100.00 
 
 
 
 XVI 
 
 38.00 
 
 10.32 
 
 31.41 
 
 
 
 7.23 
 
 
 
 
 
 1.31 
 
 7.27 
 
 
 
 1.43 
 
 0.28 
 
 2.75 
 
 
 
 100.00 
 
 
 
 Theory 
 
 37.84 
 
 10.09 
 
 33.51 
 
 
 
 2.84 
 
 
 
 
 
 0.74 
 
 10.51 
 
 
 
 1.63 
 
 
 
 2.84 
 
 
 
 100.00 
 
 
 
 LIX 
 
 38.33 
 
 9.86 
 
 33.15 
 
 
 
 2.88 
 
 
 
 
 
 0.77 
 
 10.89 
 
 
 
 
 
 
 
 2.81 
 
 
 
 100.21 
 
 
 Theory 
 
 37.38 
 
 10.80 
 
 31.78 
 
 
 
 3.74 
 
 
 
 
 
 0.73 
 
 9.35 
 
 
 
 2.40 
 
 
 
 3.74 
 
 
 
 100.00 
 
 
 
 LIV 
 
 36.41 
 
 9.65 
 
 31.27 
 
 
 
 3.80 
 
 1.61 
 
 Trace 
 
 0.98 
 
 9.47 
 
 
 
 2.68 
 
 0.21 
 
 3.79 
 
 
 
 99.87 
 
 3.59 
 
 Theory 
 
 38.09 
 
 11.08 
 
 32.38 
 
 
 
 0.95 
 
 
 
 
 
 1.48 
 
 11.64 
 
 
 
 2.46 
 
 
 
 1.92 
 
 
 
 100.00 
 
 
 
 XIII 
 
 38.09 
 
 11.15 
 
 32.90 
 
 
 
 0.66 
 
 
 
 
 
 1.25 
 
 11.79 
 
 
 2.37 
 
 0.47 
 
 2.05 
 
 0.64 
 
 101.37 
 
 
 
 Theory 
 
 36.81 
 
 8.93 
 
 33.89 
 
 
 
 4.60 
 
 
 
 
 
 .43 
 
 9.20 
 
 
 2.38 
 
 
 
 2.76 
 
 
 
 100.00 
 
 
 
 LXXII 
 
 37.70 
 
 7.82 
 
 34.26 
 
 
 
 4.42 
 
 
 
 
 
 .25 
 
 9.51 
 
 
 
 2.00 
 
 0.43 
 
 2.61 
 
 
 
 100.00 
 
 
 
 Theory 
 
 35.87 
 
 8.70 
 
 30.48 
 
 3.98 
 
 5.38 
 
 
 
 
 
 .39 
 
 7.97 
 
 
 
 3.09 
 
 
 
 3.14 
 
 
 
 100.00 
 
 
 
 XI 
 
 35.69 
 
 9.84 
 
 30.79 
 
 3.65 
 
 5.46 
 
 0.86 
 
 Trace 
 
 .54 
 
 8.12 
 
 
 
 2.53 
 
 0.27 
 
 3.12 
 
 
 
 101.95 
 
 
 
 Theory 
 
 36.92 
 
 9.85 
 
 32.69 
 
 
 
 2.77 
 
 
 
 
 
 .44 
 
 10.26 
 
 
 
 2.38 
 
 
 
 3.69 
 
 
 
 100.00 
 
 
 
 LX 
 
 36.66 
 
 10.07 
 
 32.84 
 
 
 
 2.50 
 
 0.23 
 
 Trace 
 
 .35 
 
 10.35 
 
 Trace 
 
 2.42 
 
 
 
 3.78 
 
 Trace 
 
 100.42 
 
 
 
 Theory 
 
 35.51 
 
 9.47 
 
 31.42 
 
 
 
 12.42 
 
 
 
 
 
 0.69 
 
 4.43 
 
 
 
 2.29 
 
 
 
 3.77 
 
 
 
 100.00 
 
 
 
 LVI 
 
 34.95 
 
 9.92 
 
 31.11 
 
 
 
 11.87 
 
 0.57 
 
 0.09 
 
 0.81 
 
 4.45 
 
 Trace 
 
 2.22 
 
 0.24 
 
 3.62 
 
 
 
 100.35 
 
 2.41 
 
 Theory 
 
 36.63 
 
 10.66 
 
 31.14 
 
 
 
 7.33 
 
 
 
 
 
 0.71 
 
 9.67 
 
 
 
 1.57 
 
 
 
 2.29 
 
 
 100.00 
 
 
 
 XXIV 
 
 37.11 
 
 9.29 
 
 31.26 
 
 
 
 7.58 
 
 
 
 
 
 0.80 
 
 9.43 
 
 
 
 1.78 
 
 0.32 
 
 2.43 
 
 
 
 100.00 
 
 
 
 Theory 
 
 36.00 
 
 10.48 
 
 29.32 
 
 2.00 
 
 6.30 
 
 
 
 
 2.10 
 
 8.00 
 
 
 
 3.10 
 
 
 
 2.70 
 
 
 
 100.00 
 
 
 
 XXVI 
 
 35.64 
 
 9.93 
 
 29.41 
 
 2.90 
 
 6.56 
 
 1.10 
 
 Trace 
 
 1.65 
 
 8.00 
 
 
 
 3.03 
 
 0.16 
 
 2.94 
 
 
 
 101.32 
 
 
 
 Theory 
 
 35.85 
 
 10.43 
 
 30.47 
 
 
 
 8.07 
 
 
 
 
 
 2.09 
 
 7.97 
 
 
 
 1.54 
 
 
 
 3.58 
 
 
 
 100.00 
 
 
 
 LXXI 
 
 35.34 
 
 10.45 
 
 30.49 
 
 
 
 8.22 
 
 0.40 
 
 Trace 
 
 2.32 
 
 7.76 
 
 Trace 
 
 1.76 
 
 0.15 
 
 3.60 
 
 
 
 100.49 
 
 2.88 
 
 Theory 
 
 35.23 
 
 10.29 
 
 30.02 
 
 
 
 13.25 
 
 
 
 
 
 0.69 
 
 6.38 
 
 
 
 2.28 
 
 
 
 1.76 
 
 
 
 100.00 
 
 
 
 LXX 
 
 26.29 
 
 9.04 
 
 30.44 
 
 
 13.23 
 
 
 
 
 
 1.02 
 
 6.32 
 
 
 
 1.94-|-K 2 
 
 
 
 1.72 
 
 
 
 100.00 
 
 
 
 Theory 
 
 35.26 
 
 11.12 
 
 28.72 
 
 
 0.88 
 
 
 
 
 
 5.49 
 
 14.69 
 
 
 
 0.76 
 
 
 
 3.08 
 
 0.00 
 
 100.00 
 
 
 
 XLVI 
 
 35.26 
 
 10.45 
 
 28.79 
 
 ^^_ 
 
 0.86 
 
 0.65 
 
 
 
 5.09 
 
 14.58 
 
 Trace 
 
 0.94 
 
 0.18 
 
 3.10 
 
 0.78 
 
 100.37 
 
 
 
 spar Group. 
 
 Felspar group conform to the following types 
 
 D. Si R Si Si R Si = 6 R 2 2 22 SiO 2 , 
 
 E. S A i R Si Si - R Si = 6 R 2 3 24 Si0 2 . 
 
 or the general formula 
 m MO 5 R 9 0, 22 SiO 
 
 2 n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 8 
 
 Fe 2 s 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 8 O 
 
 Na 2 
 
 H,o 
 
 Total 
 
 Heddle 
 
 Theory 
 LXVI 
 
 64.38 
 64.54 
 
 23.63 
 24.04 
 
 1.95 
 2.31 
 
 
 
 1.37 
 1.21 
 
 0.97 
 0.77 
 
 2.29 
 2.59 
 
 4.53 
 4.13 
 
 0.88 
 0.84 
 
 100.00 
 
 100.43 
 
 Raimondi 
 
 Theory 
 XCV 
 
 62.98 
 63.20 
 
 23.12 
 24.00 
 
 1.91 
 1.50 
 
 - 
 
 4.68 
 4.36 
 
 0.95 
 0.72 
 
 Trace 
 
 4.43 
 4.20 
 
 1.93 
 1.90 
 
 100.00 
 99.88 
 
 Deville 
 
 Theory 
 CIX 
 
 63.32 
 63.85 
 
 24.43 
 24.05 
 
 z 
 
 ~ 
 
 4.69 
 5.04 
 
 0.47 
 0.38 
 
 1.12 
 
 0.88 
 
 5.20 
 5.04 
 
 0.87 
 0.76 
 
 100.00 
 100.00 
 
412 
 
 THE FELSPAR GROUP 
 
 
 
 
 
 Source 
 
 4 
 
 4 MO 5 A1 2 O 3 22 SiO 2 
 
 4 MO = 2.25 Na 2 1.25 CaO 0.5 K 2 O 
 
 Oligoclase 
 
 Mer de Glace 
 
 5 
 
 4MO-5R 2 3 -22Si0 2 
 
 4 MO = 2.25 Na 2 O 1.5 CaO 0.25 K 2 O 
 
 
 
 Rispond 
 
 
 1H 2 
 
 
 
 
 6 
 
 4MO-5Al 2 O 3 -22Si0 2 
 
 4 MO = 2.5 Na 2 O 1 CaO 0.5 K 2 O 
 
 
 
 Vesuvius 
 
 t 
 
 > 
 
 t> 
 
 > 
 
 Freiberg 
 
 8 
 
 > 
 
 
 
 M 
 
 Marienberg 
 
 9 
 
 4 MO 5 A1 2 O 3 22 SiO 2 
 
 
 M 
 
 Arendal 
 
 
 1H 2 
 
 
 
 
 10 
 
 4 MO 5 A1 2 O 3 22 SiO 2 
 
 4 MO = 2. 75 Na 2 O 0.75 CaO 0.25 MgO 
 
 
 
 Danviks 
 
 
 
 0.25K 2 
 
 || 
 
 Tulb 
 
 11 
 
 4 MO 5 B 2 O 3 22 SiO 2 
 
 4 MO = 2.75 Na 2 O 0.75 CaO 0.25 MgO 
 
 ff 
 
 Rottchen 
 
 
 
 0.25 K 2 O ; 5 R 2 O 3 = 4.75 A1 2 O 3 -0.25 Fe 2 O 3 
 
 
 
 12 
 
 4 MO 5 A1 2 O 3 22 SiO 2 
 
 4MO = 3Na 2 O-lCaO 
 
 
 
 Ariege 
 
 13 
 
 
 
 
 
 Culsagee, 
 
 
 
 
 
 N.C. 
 
 14 
 
 5MO-5R 2 O 3 -22SiO 2 
 
 5 MO = 1.75 Na 2 O 2.5 CaO 0.75 K 2 O 
 
 > 
 
 Neurode 
 
 
 
 5 R 2 O 3 = 4.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 
 
 15 
 
 5MO-5Al 2 3 -22SiO a 
 
 5 MO = 2 Na 2 O 2 CaO 0.5 H 2 O-0.25 MgO 
 
 M 
 
 Aberdeen 
 
 
 
 0.25K 2 
 
 
 
 16 
 
 >f > 
 
 5 MO = 2 Na 2 O 2.5 CaO 0.5 K 2 O 
 
 
 
 Hierro 
 
 17 
 
 > > 
 
 5MO = 2Na 2 O-3CaO 
 
 
 
 Campo 
 
 
 
 
 
 maior 
 
 18 
 
 > ) 
 
 5 MO = 2.25 Na 2 O 2.25 CaO 0.5 K 2 O 
 
 y9 
 
 Rosetown, 
 
 
 
 
 
 N.J. 
 
 19 
 
 5 MO 5 A1 2 O 3 22 SiO 2 
 
 
 
 ff 
 
 Pytterlaks 
 
 
 1H 2 O 
 
 
 
 
 20 
 
 5 MO 5 A1 2 3 22 SiO 2 
 
 
 
 Andesine 
 
 Pikruki 
 
 
 1H 2 
 
 
 
 
 21 
 
 5 MO 5 A1 2 O 3 22 SiO 2 
 
 5 MO = 2.25 Na a O 2.5 CaO 0.25 K 2 O 
 
 n 
 
 Sardinia 
 
 22 
 
 5 MO 5 A1 2 O 3 22 SiO 2 
 
 5 MO = 2.5 Na 2 O 1 CaO 0.75 FeO 
 
 Oligoclase 
 
 KjSrrestad 
 
 
 1H 2 
 
 0.5 H 2 O- 0.25 K 2 O 
 
 
 
 23 
 
 5 MO 5 A1 2 O 3 22 SiO 2 
 
 5 MO = 2.5 Na 2 O 2 CaO - 0.25 K 2 O 
 
 t> 
 
 Ditr6 
 
 
 1H 2 
 
 0.25H 2 
 
 
 
 24 
 
 5 MO 5 A1 2 O 3 22 SiO 2 
 
 5 MO = 2.5 Na 2 2 CaO 0.5 K 2 O 
 
 M 
 
 Com j os, 
 
 
 
 
 
 Colorado 
 
 25 
 
 
 
 5 MO = 2.5 Na 2 2 CaO 0.5 H 2 O 
 
 M 
 
 Anna-See 
 
 26 
 
 > 
 
 5MO = 2.5Na 2 O 2.25 CaO 0.25 K 2 O 
 
 H 
 
 M. Mulatto 
 
 27 
 
 t 
 
 t> 
 
 > 
 
 Knader 
 
 28 
 
 > > 
 
 5 MO = 2.75 Na 2 O 1.5 CaO 0.5 MgO 
 
 > 
 
 Chester, 
 
 
 
 0.25 H 2 
 
 
 Mass. 
 
THE FELSPAR GROUP 
 
 413 
 
 Analyst 
 
 
 SiO a 
 
 Al0, 
 
 Fe 8 0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 KO 
 
 Na 2 
 
 H a o 
 
 Total 
 
 Delesse 
 
 Theory 
 LVII 
 
 63.27 
 63.25 
 
 24.44 
 23.92 
 
 
 
 z 
 
 3.36 
 3.23 
 
 0.32 
 
 2.25 
 2.31 
 
 6.68 
 6.78 
 
 
 
 100.00 
 99.91 
 
 Heddle 
 
 Theory 
 XLIX 
 
 62.15 
 61.85 
 
 21.61 
 21.70 
 
 3.77 
 3.37 
 
 0.20Mn 2 O 3 
 
 3.95 
 4.13 
 
 0.09 
 
 1.11 
 1.63 
 
 6.57 
 6.95 
 
 0.85 
 0.37 
 
 100.00 
 10U.29 
 
 G. v. Rath 
 
 Theory 
 XLIX 
 
 63.22 
 62.36 
 
 24.42 
 23.38 
 
 
 
 
 
 2.68 
 2.88 
 
 
 
 2.35 
 2.66 
 
 7.43 
 7.42 
 
 0.13 
 
 100.00 
 
 98.83 
 
 Kersten 
 
 Theory 
 VII 
 
 63.22 
 62.97 
 
 24.42 
 23.48 
 
 0.51 
 
 z 
 
 2.68 
 2.83 
 
 0.24 
 
 2.35 
 
 2.42 
 
 7.43 
 7.22 
 
 ~ 
 
 100.00 
 99.69 
 
 M 
 
 Theory 
 XXXIV 
 
 63.22 
 63.20 
 
 24.42 
 23.50 
 
 0.31 
 
 z 
 
 2.68 
 2.42 
 
 0.25 
 
 2.35 
 2.22 
 
 7.43 
 7.42 
 
 ~ 
 
 100.00 
 99.32 
 
 Dirvell 
 
 Theory 
 LXXVIII 
 
 62.68 
 63.53 
 
 24.22 
 
 24.05 
 
 
 
 z 
 
 2.66 
 2.60 
 
 
 
 2.33 
 1.86 
 
 7.36 
 
 8.02 
 
 0.85 
 0.90 
 
 100.00 
 100.96 
 
 Berzelius 
 
 Theory 
 XCII 
 
 63.28 
 63.70 
 
 24.45 
 23.95 
 
 0.50 
 
 z 
 
 2.01 
 2.05 
 
 0.96 
 0.65 
 
 1.13 
 1.20 
 
 8.17 
 8.11 
 
 z 
 
 100.00 
 100.16 
 
 Bothe 
 
 Theory 
 XVI 
 
 63.14 
 63.16 
 
 23.18 
 22.14 
 
 1.92 
 2.51 
 
 
 
 2.01 
 2.07 
 
 0.48 
 0.65 
 
 1.12 
 1.34 
 
 8.15 
 8.13 
 
 z 
 
 100.00 
 100.00 
 
 Laurent 
 
 Theory 
 LIII 
 
 63.70 
 62.60 
 
 24.62 
 24.60 
 
 
 
 
 
 2.70 
 3.00 
 
 0.20 
 
 z 
 
 8.98 
 8.90 
 
 z 
 
 100.00 
 99.40 
 
 J. L. Smith 
 
 Theory 
 
 63.72 
 
 24.61 
 
 
 
 
 
 2.70 
 
 
 
 
 
 8.97 
 
 
 
 100.00 
 
 
 CXXXII 
 
 64.12 
 
 24.20 
 
 0.14 
 
 
 
 2.80 
 
 
 
 
 
 9.28 
 
 
 
 100.54 
 
 Konig 
 
 Theory 
 II 
 
 61.00 
 61.54 
 
 22.40 
 22.36 
 
 1.85 
 1.75 
 
 z 
 
 6.47 
 6.23 
 
 ~ 
 
 3.26 
 
 2.82 
 
 5.02 
 4.91 
 
 z 
 
 100.00 
 99.61 
 
 Heddle 
 
 Theory 
 LXX 
 
 62.61 
 62.53 
 
 24.19 
 23.52 
 
 1.28 
 
 
 
 5.31 
 4.97 
 
 0.47 
 0.37 
 
 1.11 
 1.32 
 
 5.88 
 6.19 
 
 0.43 
 0.60 
 
 100.00 
 100.78 
 
 Schnorf 
 
 Theory 
 CLIII 
 
 61.66 
 60.99 
 
 23.82 
 23.98 
 
 0.90 
 
 z 
 
 6.54 
 6.46 
 
 . 
 
 2.19 
 
 2.08 
 
 5.79 
 5.44 
 
 z 
 
 100.00 
 99.85 
 
 Merian 
 
 Theory 
 LII 
 
 62.20 
 61.81 
 
 24.04 
 24.45 
 
 ~ 
 
 z 
 
 7.92 
 8.04 
 
 0.34 
 
 0.59 
 
 5.84 
 6.19 
 
 z 
 
 100.00 
 101.42 
 
 Kemp 
 
 Theory 
 CXXXIV 
 
 61.61 
 61.12 
 
 23.81 
 23.90 
 
 ~ 
 
 z 
 
 5.88 
 5.80 
 
 z 
 
 2.19 
 2.58 
 
 6.51 
 
 6.78 
 
 ~ 
 
 100.00 
 100.18 
 
 Struve 
 
 Theory 
 
 cm 
 
 61.09 
 60.90 
 
 23.60 
 24.32 
 
 ~ 
 
 
 
 5.83 
 5.78 
 
 
 
 2.20 
 1.87 
 
 6.46 
 6.51 
 
 0.82 
 0.62 
 
 100.00 
 100.00 
 
 n 
 
 Theory 
 LXXXIII 
 
 61.10 
 60.90 
 
 23.60 
 24.32 
 
 ~ 
 
 z 
 
 5.83 
 5.78 
 
 z 
 
 2.18 
 1.87 
 
 6.46 
 6.51 
 
 0.83 
 0.62 
 
 100.00 
 100.00 
 
 Dupare 
 
 Theory 
 LIV 
 
 61.88 
 62.65 
 
 23.91 
 24.19 
 
 ~ 
 
 z 
 
 6.56 
 6.28 
 
 z 
 
 1.11 
 1.24 
 
 6.54 
 6.48 
 
 
 
 100.00 
 100.84 
 
 Dirvell 
 
 Theory 
 
 XC 
 
 61.50 
 61.80 
 
 23.77 
 25.11 
 
 
 
 2.52 
 2.50 
 
 2.60 
 2.38 
 
 z 
 
 1.09 
 0.97 
 
 7.22 
 7.18 
 
 1.30 
 1.60 
 
 100.00 
 101.54 
 
 Fellner 
 
 Theory 
 XXXVI 
 
 61.60 
 61.68 
 
 23.80 
 23.95 
 
 - 
 
 z 
 
 5.23 
 5.35 
 
 
 
 1.10 
 1.09 
 
 7.22 
 6.99 
 
 1.05 
 1.05 
 
 100.00 
 100.27 
 
 G. v. Rath 
 
 Theory 
 CXXVIII 
 
 61.57 
 
 61.88 
 
 23.79 
 24.18 
 
 - 
 
 z 
 
 5.22 
 
 4.79 
 
 
 
 2.19 
 2.50 
 
 7.23 
 6.95 
 
 
 
 100.00 
 100.30 
 
 > 
 
 Theory 
 XXXVII 
 
 62.68 
 63.05 
 
 24.32 
 23.61 
 
 
 
 
 
 5.31 
 5.28 
 
 
 
 
 
 7.36 
 
 7.82 
 
 0.43 
 0.24 
 
 100.00 
 100.00 
 
 Petersen 
 
 Theory 
 XLI 
 
 61.84 
 62.84 
 
 23.89 
 23.53 
 
 
 
 - 
 
 5.91 
 5.50 
 
 - 
 
 1.10 
 1.15 
 
 7.26 
 7.65 
 
 z 
 
 100.00 
 100.67 
 
 Haughton 
 
 Theory 
 LXIV 
 
 61.84 
 62.40 
 
 23.89 
 23.60 
 
 - 
 
 - 
 
 5.91 
 5.62 
 
 
 
 1.10 
 1.66 
 
 7.26 
 7.04 
 
 ___ 
 
 100.00 
 100.40 
 
 Jackson 
 
 Theory 
 CXLIII 
 
 62.05 
 62.00 
 
 23.98 
 24.40 
 
 
 
 
 
 3.95 
 3.50 
 
 0.94 
 0.70 
 
 _ 
 
 8.02 
 8.07 
 
 1.06 
 1.00 
 
 100.00 
 99.67 
 
414 
 
 THE FELSPAR GROUP 
 
 
 
 
 
 Source 
 
 29 
 
 5 MO 
 
 5 A1 2 O 3 
 
 22 Si0 2 
 
 5 MO = 2.75 Na 2 O 1.5 CaO-0.5K 2 O-0.25H 2 O 
 
 Oligoclase 
 
 Monnoir, 
 
 
 
 
 
 
 
 Canada 
 
 30 
 
 5 MO 
 
 5 R 2 3 
 
 22 Si0 2 
 
 5 MO = 2.75 Na 2 O-1.5 CaO-0.5 H 2 O-0.25 K 2 O 
 
 " 
 
 Cragie 
 
 31 
 
 5 MO 
 
 5 A1 2 O 3 
 
 22 Si0 2 
 
 5 MO = 2.75 Na 2 O-1.5 CaO-0.5H 2 O-0.25 MgO 
 
 
 Chester, 
 
 
 
 1H 2 
 
 
 
 
 Mass. 
 
 32 
 
 5 MO 
 
 5 A1 2 3 
 
 22 Si0 2 
 
 5 MO = 2.75 Na 2 O-1.5 CaO-0.5 FeO-0.25 K 2 O 
 
 M 
 
 Kyffhauser 
 
 
 
 1H 2 
 
 
 
 
 
 33 
 
 5 MO 
 
 5 A1 2 3 
 
 22 Si0 2 
 
 5 M0 = 2.75 Na 2 1.75 CaO 0.25 MgO 
 
 M 
 
 Moland, 
 
 
 
 1 H 2 
 
 
 - 0.25 K 2 O 
 
 
 Arendal 
 
 34 
 
 5 MO 
 
 5 A1 2 3 
 
 22 Si0 2 
 
 5 MO = 2.75 Na 2 O 1.75 CaO 0.25 FeO 
 
 N 
 
 Arendal 
 
 
 
 
 
 0.25 K 2 
 
 
 
 35 
 
 5 MO 
 
 5 A1 2 3 
 
 22 Si0 2 
 
 5 M0 = 2.75 Na 2 O 2 CaO 0.25 K 2 O 
 
 n 
 
 
 
 
 1H 2 
 
 
 
 
 
 36 
 
 5 MO 
 
 5 A1 2 3 
 
 22 Si0 2 
 
 
 
 
 
 Rhiconieh 
 
 37 
 
 
 
 
 
 
 
 Fredriks- 
 
 
 
 
 
 
 
 varn 
 
 88 
 
 M 
 
 - 
 
 
 
 5 MO = 2.75 Na 2 O 2.25 CaO 
 
 
 
 Alausi 
 
 39 
 
 M 
 
 
 
 N 
 
 5 MO = 3 Na 2 O 0.5 CaO 1.5 K 2 O 
 
 m 
 
 Ditro 
 
 40 
 
 M 
 
 
 
 
 
 5 MO = 3 Na 2 2.75 CaO 0.25 K 2 O 
 
 
 
 Tvedestrand 
 
 41 
 
 
 
 
 
 
 
 ,r~ 
 
 H 
 
 Orenburg 
 
 42 
 
 M 
 
 
 
 
 
 5MO = 3Na 2 O 2 CaO 
 
 M 
 
 Perlenhardt 
 
 43 
 
 M 
 
 M 
 
 
 
 M 
 
 
 
 Itterby 
 
 44 
 
 
 
 
 
 M 
 
 5 MO = 3.25 Na 2 O 1.25 CaO 0.5 MgO 
 
 n 
 
 H 
 
 45 
 
 >f 
 
 tf 
 
 f> 
 
 5 MO = 3.25 Na 2 O 1.75 CaO 
 
 n 
 
 JestreKjorre- 
 
 
 
 
 
 
 
 stadb.Bamle 
 
 46 
 
 M 
 
 M 
 
 >? 
 
 
 
 n 
 
 Cragie 
 
 
 
 
 
 
 
 Bukler 
 
 47 
 
 6 MO 
 
 5 R 2 O 3 
 1H 2 
 
 22 Si0 2 
 
 6 MO = 2 Na a O-2.25 CaO-1 MgO-0.75 K 2 O 
 5 R 2 O 3 = 4.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 Jamaica- 
 Mts. Can. 
 
 48 
 
 6 MO 
 
 5 A1 2 O 3 
 
 22 Si0 2 
 
 6 MO = 2.25 Na 2 O-3 CaO-0.5 MgO-0.25 K 2 O 
 
 9t 
 
 Santorine 
 
 49 
 
 6 MO 
 
 5 R 2 O 3 
 
 22 SiO 8 
 
 6 MO = 2.5 Na 2 O 1.5 CaO 1 K 2 O 0.5 MgO 
 
 
 Buxburn 
 
 
 
 1H 2 
 
 
 0.5 H 2 O ; 5 R 2 O 3 =4.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 
 
 50 
 
 6 MO 
 
 5 A1 2 O 3 
 
 22 Si0 2 
 
 6 MO = 2.5 Na 2 O 2.25 CaO-1 MgO-0.25 K 2 O 
 
 ft 
 
 Gebel 
 
 
 
 2H 2 
 
 
 
 Duchan 
 
THE FELSPAR GROUP 
 
 415 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 0, 
 
 Fe 2 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,0 
 
 Total 
 
 Hoffmann 
 
 Theory 
 
 61.29 
 
 23.68 
 
 , 
 
 
 
 3.90 
 
 
 
 2.18 
 
 7.91 
 
 1.04 
 
 100.00 
 
 
 CXLIV 
 
 62.05 
 
 22.60 
 
 
 
 
 
 3.96 
 
 
 
 1.80 
 
 7.95 
 
 0.80 
 
 99.91 
 
 Heddle 
 
 Theory 
 
 61.93 
 
 22.73 
 
 
 
 
 
 3.94 
 
 
 
 1.10 
 
 8.00 
 
 0.42 
 
 100.00 
 
 
 LXXI 
 
 61.58 
 
 22.00 
 
 
 
 
 
 4.19 
 
 
 
 1.52 
 
 8.27 
 
 0.54 
 
 99.66 
 
 Jackson 
 
 Theory 
 
 62.05 
 
 23.98 
 
 
 
 
 
 3.95 
 
 0.94 
 
 
 
 8.02 
 
 1.06 
 
 100.00 
 
 
 CXLIII 
 
 62.03 
 
 24.40 
 
 
 
 
 
 3.50 
 
 0.70 
 
 
 
 8.07 
 
 1.00 
 
 99.67 
 
 Streng 
 
 Theory 
 
 61.11 
 
 23.61 
 
 
 
 1.66 
 
 3.89 
 
 
 
 1.09 
 
 7.80 
 
 0.84 
 
 100.00 
 
 
 XII 
 
 60.94 
 
 24.22 
 
 
 
 1.66 
 
 3.94 
 
 
 
 0.95 
 
 7.65 
 
 0.79 
 
 100.15 
 
 Dirvell 
 
 Theory 
 
 61.39 
 
 23.72 
 
 
 
 
 
 4.56 
 
 0.46 
 
 1.09 
 
 7.93 
 
 0.85 
 
 100.00 
 
 
 LXXXIII 
 
 61.84 
 
 24.77 
 
 
 
 
 
 4.20 
 
 0.30 
 
 0.88 
 
 8.14 
 
 0.50 
 
 100.63 
 
 
 Theory 
 
 62.68 
 
 24.22 
 
 
 
 
 
 2.66 
 
 
 
 2.33 
 
 7.36 
 
 0.85 
 
 100.00 
 
 
 LXXVII 
 
 63.53 
 
 24.05 
 
 
 
 
 
 2.60 
 
 
 
 1.86 
 
 8.02 
 
 0.90 
 
 100.96 
 
 Konig 
 
 Theory 
 
 61.28 
 
 23.68 
 
 
 
 
 
 5.19 
 
 
 
 1.09 
 
 7.91 
 
 0.85 
 
 100.00 
 
 
 CXIV 
 
 60.69 
 
 24.24 
 
 0.71 
 
 
 
 4.63 
 
 
 
 1.28 
 
 7.75 
 
 0.85 
 
 100.15 
 
 Haughton 
 
 Theory 
 
 61.81 
 
 23.87 
 
 
 
 
 
 5.24 
 
 
 
 1.10 
 
 7.98 
 
 
 
 100.00 
 
 
 LXXV 
 
 61.88 
 
 24.80 
 
 
 
 
 
 4.93 
 
 
 
 0.98 
 
 8.12 
 
 
 
 100.71 
 
 Pisani 
 
 Theory 
 
 61.81 
 
 23.87 
 
 
 
 
 
 5.24 
 
 
 
 1.10 
 
 7.98 
 
 
 
 100.00 
 
 
 LXXXVII 
 
 62.25 
 
 24.80 
 
 0.25 
 
 
 
 4.90 
 
 
 
 0.80 
 
 7.80 
 
 0.20 
 
 101.00 
 
 Siemiradzki 
 
 Theory 
 
 62.08 
 
 23.98 
 
 
 
 
 
 5.92 
 
 
 
 , 
 
 8.02 
 
 . 
 
 100.00 
 
 
 CXXIV 
 
 61.58 
 
 25.30 
 
 
 
 
 
 6.08 
 
 
 
 
 
 8.14 
 
 
 
 101.10 
 
 Fellner 
 
 Theory 
 
 59.43 
 
 22.97 
 
 
 
 
 
 1.96 
 
 
 
 6.35 
 
 8.37 
 
 1.62 
 
 100.00 
 
 
 XXXV 
 
 60.28 
 
 22.40 
 
 
 
 
 
 1.17 
 
 0.09 
 
 6.37 
 
 8.44 
 
 1.61 
 
 100.36 
 
 Scheerer 
 
 Theory 
 
 61.75 
 
 23.86 
 
 
 
 
 
 4.58 
 
 
 
 1.10 
 
 8.71 
 
 
 
 100.00 
 
 
 LXXXVI 
 
 61.30 
 
 23.77 
 
 0.36 
 
 
 
 4.78 
 
 
 
 1.29 
 
 8.50 
 
 
 
 100.00 
 
 G. v. Rath 
 
 Theory 
 
 61.75 
 
 23.86 
 
 
 
 
 
 4.58 
 
 
 
 1.10 
 
 8.71 
 
 
 
 100.00 
 
 
 CXVII 
 
 60.34 
 
 24.39 
 
 0.18 
 
 
 
 5.56 
 
 
 
 0.73 
 
 8.44 
 
 0.33 
 
 99.97 
 
 
 Theory 
 
 62.04 
 
 23.96 
 
 
 
 
 
 5.26 
 
 
 
 
 
 8.74 
 
 
 
 100.00 
 
 
 XV 
 
 62.18 
 
 23.52 
 
 
 
 
 
 5.33 
 
 
 
 
 
 8.97 
 
 
 
 100.00 
 
 Jannetaz 
 
 Theory 
 
 62.04 
 
 23.96 
 
 
 
 
 
 5.26 
 
 
 
 
 
 8.74 
 
 
 
 100.00 
 
 
 XCV 
 
 63.19 
 
 23.52 
 
 
 
 
 
 4.81 
 
 
 
 
 
 9.01 
 
 
 
 100.53 
 
 Berzelius 
 
 Theory 
 
 62.23 
 
 24.04 
 
 
 
 
 
 3.29 
 
 0.94 
 
 
 
 9.50 
 
 
 
 100.00 
 
 
 XCIII 
 
 61.55 
 
 23.80 
 
 
 
 
 
 3.18 
 
 0.80 
 
 0.38 
 
 9.67 
 
 
 
 99.38 
 
 G. v. Rath 
 
 Theory 
 
 61.98 
 
 23.95 
 
 
 
 
 
 4.61 
 
 
 
 
 
 9.46 
 
 
 
 100.00 
 
 
 LXXXIX 
 
 61.91 
 
 23.68 
 
 
 
 
 
 4.45 
 
 
 
 
 
 9.64 
 
 
 
 100.00 
 
 Haughton 
 
 Theory 
 
 61.98 
 
 23.95 
 
 
 
 
 
 4.61 
 
 
 
 
 
 9.46 
 
 
 
 100.00 
 
 
 LXXII 
 
 62.00 
 
 23.20 
 
 
 
 
 
 4.71 
 
 
 
 
 
 9.20 
 
 
 
 100.00 
 
 Hunt 
 
 Theory 
 
 59.26 
 
 20.16 
 
 3.59 
 
 
 
 5.66 
 
 1.80 
 
 3.16 
 
 5.57 
 
 0.80 
 
 100.00 
 
 
 CXLVII 
 
 58.60 
 
 21.10 
 
 2.88 
 
 
 
 5.40 
 
 1.84 
 
 3.08 
 
 5.51 
 
 0.80 
 
 99.21 
 
 Fouque 
 
 Theory 
 
 60.52 
 
 23.39 
 
 
 
 
 
 7.71 
 
 0.92 
 
 1.07 
 
 6.39 
 
 
 
 100.00 
 
 
 LI 
 
 59.70 
 
 23.20 
 
 0.40 
 
 
 
 7.90 
 
 1.00 
 
 0.80 
 
 6.60 
 
 
 
 99.60 
 
 Heddle 
 
 Theory 
 
 59.34 
 
 21.78 
 
 1.80 
 
 
 
 3.77 
 
 0.90 
 
 4.23 
 
 6.97 
 
 1.21 
 
 100.00 
 
 
 LXIX 
 
 59.53 
 
 21.05 
 
 1.81 
 
 
 
 3.63 
 
 0.88 
 
 4.73 
 
 7.23 
 
 1.88 
 
 100.74 
 
 Delease 
 
 Theory 
 
 59.71 
 
 23.07 
 
 
 
 
 
 5.70 
 
 1.81 
 
 1.06 
 
 7.01 
 
 1.64 
 
 100.00 
 
 
 CXLVIII 
 
 58.92 
 
 22.49 
 
 0.75 
 
 0.60MnO 
 
 5.53 
 
 1.87 
 
 0.93 
 
 6.93 
 
 1.64 
 
 99.60 
 
416 
 
 THE FELSPAR GROUP 
 
 B. 
 sVR-Si-Si-R- 
 
 Felspars of the type 
 Si = 5 R 2 3 24 Si0 2 
 
 
 
 
 
 Source 
 
 51 
 
 4 MO 6 A1 2 O 3 24 SiO 2 
 
 4MO = 2.25Na 2 0.5 CaO 0.75 K 2 O 
 
 Oligoclase 
 
 Lessines 
 
 
 1H 2 
 
 0.5 MgO 
 
 
 
 62 
 
 4MO-5R 2 3 -24Si0 2 
 
 4 MO = 2.75 Na 2 - 0.75 CaO - 0.5 K 2 O 
 
 M 
 
 Old Meldrum 
 
 63 
 
 5MO-5Al 2 3 -24SiO 2 
 
 5MO = 2.25Na 2 O 2.5 CaO 0.25 K 2 O 
 
 ; 
 
 Furth 
 
 64 
 
 
 
 5 MO = 2.5 Na 2 O 1 CaO 1 K 2 O 0.5 MgO 
 
 M 
 
 Hartenberg 
 
 55 
 
 , 
 
 5 MO = 2.5 Na 2 O 1.5 CaO 0.75 H 2 O 
 
 m 
 
 Visembach 
 
 
 
 0.25K 2 
 
 
 
 56 
 
 ,, 
 
 5 MO = 2.5 Na 2 O 1.5 CaO 1 K 2 O 
 
 , t 
 
 Pierrepont, 
 
 
 
 
 
 N.S. 
 
 57 
 
 
 
 5 MO = 2.75 Na 2 O-0.75 CaO-1 K 2 O-0.5 MgO 
 
 ?> 
 
 Ajatskaja 
 
 
 
 5 R 2 O 3 =4.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 58 
 
 5MO-5R 2 O 3 24Si0 2 
 
 5 MO = 2.75 Na 2 O 1.5 CaO 0.5 H 2 O 
 
 M 
 
 Coyle, 
 
 
 
 0.25K 2 
 
 
 Aberdeen 
 
 59 
 
 5MO-5Al 2 O 3 -24Si0 2 
 
 5 MO = 3 Na 2 O - 0.75 CaO-1 K 2 O-0.25 MgO 
 
 n 
 
 Pico de 
 
 
 
 
 
 Teneriffe 
 
 60 
 
 
 
 
 
 M 
 
 
 
 61 
 
 5 MO 5 A1 2 O 3 24 SiO 2 
 1H 2 
 
 5 MO-3 Na 2 O 1 CaO 0.5 K 2 O 0.5 H 2 O 
 
 " 
 
 Badenweiler 
 
 62 
 
 5 MO 5 A1 2 O 3 . 24 SiO 2 
 
 5 MO = 3 Na 2 O 1.5 CaO 0.5 K 2 O 
 
 ' 
 
 Wittichen 
 
 63 
 
 > > 
 
 
 
 M 
 
 Gaggenau 
 
 64 
 
 .> > 
 
 5 MO = 3.25 Na 2 O 1 MgO 0.75 K 2 O 
 
 
 
 Laacher See 
 
 65 
 
 
 
 5MO = 3.25Na 2 1.25 CaO 0.25 MgO 
 
 n 
 
 Coromandel 
 
 
 
 0.25 K 2 
 
 
 
 66 
 
 5MO-5Al 2 O 8 '24SiO 2 
 
 5 MO = 3.25 Na 2 O -1.5 CaO 0.25 K 2 O 
 
 n 
 
 Veltlin 
 
 67 
 
 
 
 
 
 
 Niedermendig 
 
 68 
 
 
 
 
 
 M 
 
 Itterby 
 
 69 
 
 
 
 
 
 ,- 
 
 (Granite) 
 
 70 
 
 
 
 
 
 M 
 
 Lairg 
 
 71 
 
 5 MO 5 A1 2 O 3 24 SiO 2 
 
 5 MO = 3.5 Na 2 O 0.5 CaO 0.75 K 2 O 
 
 
 Pico de 
 
 
 
 0.25 MgO 
 
 
 Teneriffe 
 
 72 
 
 
 
 5 MO = 3.5 Na 2 O 0.75 CaO 0.5 K 2 O 
 
 n 
 
 Arendal 
 
 
 
 0.25 MgO 
 
 
 
 73 
 
 
 
 5 MO = 3.5 Na 2 O 0.75 CaO 0.75 K 2 O 
 
 " 
 
 Boden 
 
 74 
 
 
 
 5 MO = 3.5 Na 2 O 1.25 CaO 0.25 K 2 O 
 
 n 
 
 Danbury, 
 
 
 
 
 
 Conn. 
 
THE FELSPAR GROUP 
 
 417 
 
 or the general formula 
 mMO 5R 9 0, 24S10. 
 
 n H 9 0. 
 
 Analyst 
 
 | SiO s 
 
 Al,0, 
 
 Fe,0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,O 
 
 NajO 
 
 H,0 
 
 Total 
 
 Delesse 
 
 Theory 
 LXI 
 
 64.66 
 63.70 
 
 22.91 
 22.64 
 
 0.53 
 
 
 
 1.28 
 1.44 
 
 0.90 
 1.20 
 
 3.17 
 2.81 
 
 6.27 
 6.15 
 
 0.81 
 1.22 
 
 100.00 
 99.69 
 
 Heddle 
 
 Theory 
 LXVIII 
 
 64.75 
 64.67 
 
 21.78 
 22.18 
 
 1.80 
 1.44 
 
 z 
 
 1.89 
 1.89 
 
 0.02 
 
 2.11 
 1.54 
 
 7.67 
 7.64 
 
 0.15 
 
 100.00 
 99.53 
 
 v. Giimbel 
 
 Theory 
 XXXI 
 
 63.92 
 64.40 
 
 22.64 
 23.07 
 
 z 
 
 0.27 
 
 6.21 
 5.61 
 
 
 
 1.04 
 0.96 
 
 6.19 
 
 5.85 
 
 
 
 100.00 
 100.16 
 
 G. v. Rath 
 
 Theory 
 XIV 
 
 63.30 
 63.50 
 
 22.42 
 21.81 
 
 0.66 
 
 ~ 
 
 2.46 
 2.32 
 
 0.88 
 0.95 
 
 4.13 
 3.65 
 
 6.81 
 6.84 
 
 
 
 100.00 
 99.81 
 
 Delesse 
 
 Theory 
 XXIII 
 
 64.69 
 63.88 
 
 22.91 
 
 22.27 
 
 
 
 
 
 3.77 
 3.45 
 
 
 
 1.06 
 1.21 
 
 6.96 
 6.66 
 
 0.61 
 0.70 
 
 100.00 
 98.68 
 
 Penfield and 
 Sperry 
 
 Theory 
 CXL 
 
 63.08 
 63.76 
 
 22.34 
 22.67 
 
 0.41 
 
 
 
 3.68 
 3.05 
 
 
 
 4.12 
 3.60 
 
 6.78 
 6.89 
 
 0.40 
 
 100.00 
 100.78 
 
 Francis 
 
 Theory 
 CXI 
 
 62.45 
 61.06 
 
 19.92 
 19.68 
 
 3.48 
 4.11 
 
 
 
 1.82 
 2.16 
 
 0.87 
 1.05 
 
 4.07 
 3.91 
 
 7.39 
 7.55 
 
 - 
 
 100.00 
 99.52 
 
 Heddle 
 
 Theory 
 LXVII 
 
 63.95 
 63.54 
 
 21.54 
 21.45 
 
 1.78 
 1.86 
 
 
 
 3.73 
 
 3.88 
 
 0.23 
 
 1.04 
 1.07 
 
 7.57 
 7.64 
 
 0.39 
 0.44 
 
 100.00 
 100.11 
 
 Delesse 
 
 Theory 
 CXLIX 
 
 63.11 
 
 62.97 
 
 22.35 
 22.29 
 
 
 
 
 
 1.84 
 2.06 
 
 0.44 
 0.54 
 
 4.11 
 3.69 
 
 8.15 
 8.45 
 
 
 
 100.00 
 100.00 
 
 > 
 
 Theory 
 CL 
 
 63.11 
 62.54 
 
 22.35 
 22.49 
 
 
 
 
 
 1.84 
 2.18 
 
 0.44 
 0.41 
 
 4.11 
 4.54 
 
 8.15 
 
 7.84 
 
 
 
 100.00 
 100.00 
 
 Wollemann 
 
 Theory 
 XXIV 
 
 63.55 
 63.22 
 
 22.51 
 22.95 
 
 
 
 
 
 2.47 
 2.50 
 
 ~ 
 
 2.07 
 1.93 
 
 8.21 
 8.12 
 
 1.19 
 1.36 
 
 100.00 
 100.35 
 
 Hebenstreit 
 
 Theory 
 XXV 
 
 63.52 
 62.90 
 
 22.50 
 22.23 
 
 
 
 
 
 3.71 
 4.45 
 
 ~ 
 
 2.07 
 2.09 
 
 8.20 
 8.48 
 
 
 
 100.00 
 100.15 
 
 Seneca 
 
 Theory 
 XXVIII 
 
 63.52 
 63.63 
 
 22.50 
 22.52 
 
 
 
 
 
 3.71 
 3.85 
 
 0.44 
 
 2.07 
 2.29 
 
 8.20 
 8.39 
 
 - 
 
 100.00 
 100.12 
 
 Fouque 
 
 Theory 
 XIX 
 
 63.66 
 63.50 
 
 22.55 
 22.10 
 
 
 
 
 
 0.30 
 
 1.77 
 1.80 
 
 3.11 
 3.40 
 
 8.91 
 8.90 
 
 
 
 100.00 
 100.00 
 
 Pisani 
 
 Theory 
 CXXI 
 
 63.86 
 64.00 
 
 22.63 
 23.50 
 
 
 
 
 
 3.10 
 
 2.72 
 
 0.44 
 0.60 
 
 1.04 
 0.77 
 
 8.93 
 9.00 
 
 0.16 
 
 100.00 
 100.75 
 
 G. v. Rath 
 
 Theory 
 XLVI 
 
 63.74 
 64.58 
 
 22.58 
 23.08 
 
 
 
 
 
 3.72 
 
 3.49 
 
 ~ 
 
 1.04 
 0.62 
 
 8.92 
 8.98 
 
 
 
 100.00 
 100.75 
 
 > 
 
 Theory 
 XVII 
 
 63.74 
 63.06 
 
 22.58 
 23.27 
 
 
 
 
 
 3.72 
 4.16 
 
 ~ 
 
 1.04 
 0.62 
 
 8.92 
 8.93 
 
 
 
 100.00 
 100.04 
 
 Lemberg 
 
 Theory 
 XCIX 
 
 63.74 
 63.38 
 
 22.58 
 22.98 
 
 
 
 
 
 3.72 
 3.62 
 
 ~ 
 
 1.04 
 0.55 
 
 8.92 
 9.10 
 
 0.37 
 
 100.00 
 100.00 
 
 G. v. Rath 
 
 Theory 
 CXIII 
 
 63.74 
 63.83 
 
 22.58 
 22.58 
 
 
 
 
 
 3.72 
 3.42 
 
 
 
 1.04 
 1.02 
 
 8.92 
 8.86 
 
 
 
 100.00 
 100.15 
 
 Heddle 
 
 Theory 
 LXXIII 
 
 63.74 
 62.81 
 
 22.58 
 22.92 
 
 0.16 
 
 
 
 3.72 
 4.25 
 
 0.08 
 
 1.04 
 
 0.84 
 
 8.92 
 8.53 
 
 0.29 
 
 100.00 
 99.88 
 
 Delesse 
 
 Theory 
 CLI 
 
 63.28 
 63.81 
 
 22.43 
 
 21.98 
 
 
 
 
 
 1.23 
 1.10 
 
 0.44 
 0.66 
 
 3.09 
 2.99 
 
 9.54 
 9.46 
 
 
 
 100.00 
 100.00 
 
 Hagen 
 
 Theory 
 LXXVI 
 
 63.56 
 63.51 
 
 22.51 
 23.09 
 
 
 
 
 
 1.85 
 
 2.44 
 
 0.44 
 0.77 
 
 2.07 
 2.19 
 
 9.57 
 9.37 
 
 
 
 100.00 
 101.37 
 
 Kerndt 
 
 Theory 
 IV 
 
 63.17 
 61.66 
 
 22.38 
 22.56 
 
 0.35 
 
 0.40 MnO 
 
 1.84 
 2.02 
 
 0.10 
 
 3.09 
 
 3.08 
 
 9.52 
 9.43 
 
 ~ 
 
 100.00 
 100.00 
 
 Smith and 
 Brush 
 
 Theory 
 CXLI 
 
 63.71 
 63.76 
 
 22.56 
 22.56 
 
 
 
 z 
 
 3.09 
 3.09 
 
 z 
 
 1.04 
 0.55 
 
 9.60 
 9.72 
 
 0.26 
 
 100.00 
 99.94 
 
 2 E 
 
418 
 
 THE FELSPAR GROUP 
 
 
 
 
 
 Source 
 
 75 
 
 5 MO 5 AljjO, 24 SiO 2 
 
 5MO = 3.5Na 2 O 1.25 CaO 0.25K 2 O 
 
 Oligoclase 
 
 Telemarken 
 
 76 
 
 5 MO 5 A1 2 O 3 24 SiO 2 
 1H 2 
 
 5 MO = 3.5 Na 2 O 1.5 CaO 
 
 
 
 Srnin 
 
 77 
 
 5 MO 5 A1 2 O 3 24 SiO 2 
 
 5 MO = 4 Na 2 O 0.75 CaO 0.25 K 2 O 
 
 M 
 
 Turin 
 
 78 
 
 6 MO 5 A1 2 O 3 24 SiO 2 
 
 6 MO = 2. 75 Na 2 O 2.25 CaO 0.5 FeO 
 
 
 Kyffhauser 
 
 
 
 0.25MgO-0.25K 2 O 
 
 
 
 79 
 
 
 
 6 MO = 3.25 Na 2 2.75 CaO 
 
 - 
 
 Alagnon 
 
 80 
 
 
 
 6MO = 4Na 2 O-2CaO 
 
 
 
 Pargas 
 
 C. Felspars of the type 
 
 Si R Si Si R Si = 6 R 2 3 20 Si0 2 
 
 
 
 
 
 Source 
 
 81 
 
 5MO-6Alo0 3 -20SiO 2 
 
 5 MO = 1.75 Na 2 O-2.75 CaO 0.25 MgO 
 
 Andesine 
 
 St. Raphael in 
 
 
 1 H 2 "0 
 
 0.25 H 2 O 
 
 
 Esterelgebirge 
 
 
 
 
 
 bei Trejus 
 
 82 
 
 5MO-6Al 2 3 -20SiO 2 
 
 5 MO = 2 Na.O 2.75 CaO 0.25 K 2 O 
 
 M 
 
 Dubnick 
 
 
 4H 2 
 
 
 
 
 83 
 
 5MO-6Al 2 3 -20SiO 2 
 
 5MO = 2Na 2 O-3CaO 
 
 M 
 
 Adamelle- 
 
 
 
 
 
 Gebirge 
 
 84 
 
 5 MO 6 R 2 O 3 20 SiO 2 
 
 5 MO = 2.25 Na 2 O-2.5 CaO-0.25 MgO 
 
 
 
 Descaberado 
 
 
 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 Chico 
 
 85 
 
 6 MO 6 A1 2 O 3 20 SiO 2 
 
 6MO=4.75CaO-1.25FeO 
 
 Labradorite 
 
 Silicite, Antrim 
 
 
 1H 2 
 
 
 
 
 86 
 
 6 MO 6 A1 2 O 3 20 SiO 2 
 
 6MO = 1.25Na 2 0-3.25CaO-0.75K 2 O 
 
 ,, 
 
 Lakonien 
 
 
 3H 2 
 
 0.5MgO-0.25H 2 O 
 
 
 
 87 
 
 6MO-6R 2 O a -20SiO 2 
 
 6 MO = 1.25 Na 2 O 4 CaO 0.5 MgO 
 
 tt 
 
 Nicolosi 
 
 
 
 0.25 K 2 O ; 6 R 2 O 3 =5.5 A1 2 O 3 -0.5 Fe 2 O 3 
 
 
 
 88 
 
 99 99 99 
 
 6 MO = 1.25 Na 2 O 4.25 CaO 0.5 H 2 O 
 
 n 
 
 Kiew 
 
 
 
 6 R 2 O 3 =5.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 
 
 89 
 
 6 MO 6 A1 2 O 3 20 SiO 2 
 
 6 MO = 1.25 Na 2 O 4.25 CaO 0.5 K 2 O 
 
 Andesine 
 
 Tunguragua 
 
 90 
 
 6MO-6R 2 O 3 -20Si0 2 
 
 6 MO = 1.25 Na 2 O 4.5 CaO 0.25 MgO 
 
 Labradorite 
 
 Lhama 
 
 
 
 6 R 2 O 3 =5.75 A1 2 3 0.25 Fe 2 O 3 
 
 
 
 91 
 
 6 MO 6 A1 2 O 3 20 SiO 2 
 
 6MO = 1.5Na 2 3.5 CaO 0.75 FeO 
 
 Andesine 
 
 Recsk b. Erlau 
 
 
 2H 2 
 
 0.25K 2 O 
 
 
 
 92 
 
 6MO-6Al 2 O 3 --20SiO 2 
 
 6 MO = 1.5 Na 2 O 4.5 CaO 
 
 
 
 Muretto Pass 
 
 93 
 
 6MO-6Al 2 O 3 -20SiO 2 
 2H 2 
 
 6 MO = 1.75 Na 2 O 3 CaO 0.75 K 2 O 
 0.25MgO-0.25H 2 O 
 
 
 
 Odenwald 
 
 94 
 
 6MO-6Al 2 3 -20Si0 2 
 
 6 MO = 1.75 Na 2 O 3.25 CaO 0.75 H 2 O 
 
 
 
 Oberstein 
 
 
 3H 2 
 
 0.25K 2 
 
 
 
 95 
 
 6MO-6R 2 O 3 -20Si0 2 
 
 6 MO = 1.75 Na 2 O 3.5 CaO 0.5 H 2 O 
 
 > 
 
 ChateauRicher, 
 
 
 
 0.25 K 2 O; 6 R 2 O 3 =5.75A1 2 O 3 -0.25 Fe 2 O 3 
 
 
 Canada 
 
 96 
 
 6 MO 6 A1 2 O 3 20 SiO 2 
 
 6 MO = 1.75 Na 2 O 4 CaO 0.25 K 2 O 
 
 > 
 
 Le Prese 
 
 97 
 
 
 
 99 
 
 Hohe Wald, 
 
 
 
 
 
 Odenwald 
 
THE FELSPAR GROUP 
 
 419 
 
 Analyst 
 
 
 SiO, 
 
 A1 2 0, 
 
 Fe,0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na,0 
 
 H,o 
 
 Total 
 
 Pisani 
 
 Theory 
 LXXXVIII 
 
 63.71 
 65.30 
 
 22.56 
 23.00 
 
 
 
 
 
 3.09 
 2.42 
 
 z 
 
 1.04 
 0.70 
 
 9.60 
 9.65 
 
 0.20 
 
 100.00 
 101.27 
 
 C. v. Hauer 
 
 Theory 
 XXXIII 
 
 63.46 
 63.16 
 
 22.49 
 23.16 
 
 z 
 
 
 
 3.70 
 3.00 
 
 ~ 
 
 0.17 
 
 9.56 
 9.72 
 
 0.79 
 0.79 
 
 100.00 
 100.00 
 
 Rocholl 
 
 Theory 
 XLVII 
 
 63.62 
 62.52 
 
 22.53 
 22.40 
 
 - 
 
 
 
 1.85 
 2.29 
 
 ~ 
 
 1.04 
 1.19 
 
 10.96 
 10.78 
 
 
 
 100.00 
 99.18 
 
 Streng 
 
 Theory 
 XI 
 
 60.76 
 60.01 
 
 21.52 
 21.66 
 
 - 
 
 ~ 
 
 5.32 
 5.15 
 
 0.42 
 0.68 
 
 0.99 
 1.37 
 
 7.19 
 7.06 
 
 2.28 
 2.59 
 
 100.00 
 100.08 
 
 Fouque 
 
 Theory 
 LIX 
 
 62.46 
 62.40 
 
 22.12 
 
 22.80 
 
 - 
 
 ~ 
 
 6.68 
 7.00 
 
 ~ 
 
 0.50 
 
 8.74 
 8.40 
 
 
 
 100.00 
 101.10 
 
 Bonsdorff 
 
 Theory 
 CI 
 
 62.34 
 62.03 
 
 22.08 
 21.34 
 
 1.00 
 
 ~ 
 
 4.84 
 4.86 
 
 z 
 
 
 
 10.74 
 10.77 
 
 
 
 100.00 
 100.00 
 
 or the general formula 
 
 m MO 6 R 2 3 20 Si0 2 n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 Al,0 3 
 
 Fe,0, 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 
 
 Na 8 
 
 H a O 
 
 Total 
 
 Deville 
 
 Theory 
 
 56.96 
 
 29-04 
 
 
 
 
 
 7.31 
 
 0-47 
 
 
 
 5.15 
 
 1.07 
 
 100.00 
 
 
 LVII 
 
 57.01 
 
 28.05 
 
 
 
 
 
 7.53 
 
 0.39 
 
 0.12 
 
 5.47 
 
 1.43 
 
 100.00 
 
 K. v. Hauer 
 
 Theory 
 
 54.91 
 
 28.00 
 
 __ 
 
 
 
 7.05 
 
 
 
 1.08 
 
 5.67 
 
 ^_ 
 
 100.00 
 
 
 XXXVII 
 
 55.61 
 
 28.64 
 
 
 
 
 
 7.00 
 
 
 
 1.55 
 
 5.59 
 
 
 
 101.63 
 
 Val. San 
 
 Theory 
 
 57.04 
 
 29.09 
 
 
 
 
 
 7.98 
 
 
 
 
 
 5.89 
 
 
 
 100.00 
 
 Valentino 
 
 XLIX 
 
 56.79 
 
 28.48 
 
 
 
 
 
 8.56 
 
 
 
 0.34 
 
 6.10 
 
 0.24 
 
 100.51 
 
 Domeyko 
 
 Theory 
 
 56.33 
 
 26.33 
 
 3.75 
 
 
 
 6.57 
 
 0.47 
 
 
 
 6.55 
 
 
 
 100.00 
 
 
 XCII 
 
 55.30 
 
 26.50 
 
 4.30 
 
 
 
 6.20 
 
 0.60 
 
 
 
 6.70 
 
 
 
 99.60 
 
 Thomson 
 
 Theory 
 
 54.90 
 
 28.00 
 
 
 
 4.12 
 
 12.17 
 
 
 
 
 
 
 
 0.81 
 
 100.00 
 
 
 LXXVI 
 
 54.80 
 
 28.40 
 
 
 
 4.00 
 
 12.40 
 
 
 
 
 
 
 
 0.60 
 
 100.20 
 
 Delesse 
 
 Theory 
 
 54.04 
 
 27.56 
 
 
 
 
 
 8.19 
 
 0.90 
 
 3.18 
 
 3.49 
 
 2.64 
 
 100.00 
 
 
 CXXI 
 
 53.20 
 
 27.31 
 
 1.03 
 
 
 
 8.02 
 
 1.01 
 
 3.40 
 
 3.52 
 
 2.51 
 
 100.00 
 
 S. v. Walters- 
 
 Theory 
 
 54.90 
 
 25.66 
 
 3.66 
 
 
 
 10.25 
 
 0.91 
 
 1.08 
 
 3.54 
 
 
 
 100.00 
 
 hausen 
 
 LXXI 
 
 55.83 
 
 25.31 
 
 3.63 
 
 
 
 10.49 
 
 0.74 
 
 0.83 
 
 3.52 
 
 
 
 100.35 
 
 Segeth 
 
 Theory 
 
 55.79 
 
 27.27 
 
 1.86 
 
 
 
 11.07 
 
 
 
 
 
 3.60 
 
 0.41 
 
 100.00 
 
 
 CXVIII 
 
 55.49 
 
 26.83 
 
 1.60 
 
 
 
 10.93 
 
 0.15 
 
 0.36 
 
 3.96 
 
 0.51 
 
 99.83 
 
 Siemiradzki 
 
 Theory 
 
 55.19 
 
 28.14 
 
 
 
 
 
 10.95 
 
 
 
 2.16 
 
 3.56 
 
 
 
 100.00 
 
 
 cm 
 
 54.89 
 
 28.97 
 
 
 
 
 
 10.28 
 
 
 
 1.72 
 
 3.61 
 
 
 
 99.47 
 
 Koto 
 
 Theory 
 
 55.41 
 
 27.07 
 
 1.85 
 
 
 
 11.63 
 
 0.46 
 
 
 
 3.58 
 
 
 
 100.00 
 
 
 CXXVIII 
 
 55.97 
 
 27.60 
 
 1.68 
 
 
 
 11.88 
 
 0.66 
 
 0.08 
 
 3.83 
 
 
 
 101.70 
 
 K. v. Hauer 
 
 Theory 
 
 54.19 
 
 27.63 
 
 
 
 2.43 
 
 8.85 
 
 
 
 1.06 
 
 4.20 
 
 1.64 
 
 100.00 
 
 
 XXXVI 
 
 53.99 
 
 26.78 
 
 
 
 2.22 
 
 9.09 
 
 0.30 
 
 0.82 
 
 4.21 
 
 1.90 
 
 99.31 
 
 Mattirolo 
 
 Theory 
 
 55.63 
 
 28.37 
 
 
 
 
 
 11.68 
 
 
 
 
 
 4.32 
 
 
 
 100.00 
 
 
 LII 
 
 55.53 
 
 28.38 
 
 
 
 
 
 11.72 
 
 
 
 
 
 4.13 
 
 0.24 
 
 100.00 
 
 Behr 
 
 Theory 
 
 54.32 
 
 27.70 
 
 
 
 
 
 7.60 
 
 0.45 
 
 3.19 
 
 4.91 
 
 1.83 
 
 100.00 
 
 
 XIX 
 
 54.70 
 
 27.49 
 
 0.55 
 
 
 
 7.64 
 
 0.42 
 
 2.76 
 
 4.64 
 
 1.65 
 
 99.85 
 
 Delesae 
 
 Theory 
 
 54.71 
 
 27.90 
 
 
 
 
 
 8.30 
 
 
 
 1.07 
 
 4.94 
 
 3.08 
 
 100.00 
 
 
 XI 
 
 53.89 
 
 27.66 
 
 0.97 
 
 
 
 8.28 
 
 
 
 1.28 
 
 4.92 
 
 3.00 
 
 100.00 
 
 Hunt 
 
 Theory 
 
 55.47 
 
 27.11 
 
 1.85 
 
 
 
 9.06 
 
 
 
 1.08 
 
 5.01 
 
 0.42 
 
 100.00 
 
 
 CXXII 
 
 55.80 
 
 26.90 
 
 1.53 
 
 
 
 9.01 
 
 0.27 
 
 0.86 
 
 4.77 
 
 0.45 
 
 99.59 
 
 G. v. Rath 
 
 Theory 
 
 55.36 
 
 28.23 
 
 
 
 
 
 10.33 
 
 
 
 1.08 
 
 5.00 
 
 
 
 100.00 
 
 
 LI 
 
 55.15 
 
 29.15 
 
 
 
 
 
 9.90 
 
 
 
 0.80 
 
 5.23 
 
 
 
 100.23 
 
 Swiatkowski 
 
 Theory 
 
 55.36 
 
 28.23 
 
 
 
 
 
 10.33 
 
 
 
 1.08 
 
 5.00 
 
 
 
 100.00 
 
 
 XVIII 
 
 55.24 
 
 29.02 
 
 
 
 
 
 9.91 
 
 0.19 
 
 1.31 
 
 5.13 
 
 
 
 100.80 
 
420 
 
 THE FELSPAR GROUP 
 
 
 
 
 
 
 Source 
 
 98 
 
 6MO-6A1 2 3 
 
 20 SiO 2 
 
 6 M0 = 1.75 Na 2 - 4 CaO 0.25 K 2 O 
 
 Labrador! te 
 
 Labrador 
 
 99 
 
 5J 
 
 
 
 > * }> 
 
 
 
 
 
 100 
 
 J> ?> 
 
 it 
 
 j it 
 
 n 
 
 Campsie 
 
 101 
 
 
 
 
 
 > 
 
 
 
 Schriesheim 
 
 102 
 
 
 
 i 
 
 6 MO = 1.75 Na 2 O 4 CaO 0.25 H 2 O 
 
 " 
 
 Suligata 
 
 103 
 
 
 
 w 
 
 > 
 
 > 
 
 Nagyag 
 
 104 
 105 
 
 5J 
 
 
 
 
 
 
 
 Piatra 
 Poienitia 
 
 Palma 
 
 106 
 
 JJ 
 
 M 
 
 > 
 
 ,, 
 
 Rotundo 
 
 107 
 
 
 
 pi 
 
 > > 
 
 H 
 
 Kisbanya 
 
 108 
 
 J> 
 
 n 
 
 6 MO = 1.75 Na 2 O 4.25 CaO 
 
 Andesine 
 
 Pomasque 
 
 109 
 
 >5 >J 
 
 5> 
 
 6 MO = 2 Na 2 O 3. 75 CaO 0. 25 K 2 O 
 
 5> 
 
 Langlangchi 
 
 110 
 
 6 MO 6 R 2 O 8 
 
 20SiO 2 
 
 6 MO = 2 Na 2 3.75 CaO 0.25 MgO 
 6 R 2 O 3 =5.25 A1 2 O 3 0.75 Fe 2 O 3 
 
 Labradorite 
 
 Baumholder 
 
 111 
 
 7 MO 6 A1 2 O S 
 
 20 SiO 2 
 
 7 M0 = 0.5 Na 2 3.75 CaO 1.75 K 2 O 
 0.75 H 2 0- 0.25 MgO 
 
 " 
 
 Labrador 
 
 112 
 
 7 MO 6 R 2 O 3 
 
 20 SiO 2 
 
 7 MO = 1.5 Na 2 0-3.75 CaO-1 MgO-0.5H 2 
 0.25 MnO;6 R 2 O 3 =5.75 A1 2 O 8 -0.25 Fe 2 O 3 
 
 >? 
 
 Val del Bove 
 
 113 
 
 7 MO 6 R 2 O 3 
 1H 2 O 
 
 20 SiO 2 
 
 7MO-1.5Na 2 0-4CaO-lMgO-0.25 MnO 
 0.25H 2 O ; 6R 2 O 3 =5.75Al 2 O 3 -0.25Fe 2 O 3 
 
 > 
 
 Etna 
 
 114 
 
 7MO-6R 2 O 3 - 
 1H 2 
 
 20 SiO 2 
 
 7 MO = 1.5 Na 2 4.75 CaO 0.25 MgO 
 - 0.25 K 2 0- 0.25 H 2 O 
 
 
 
 Mascali 
 
 115 
 
 7MO-6A1 2 3 
 1H 2 O 
 
 20 SiO 2 
 
 7 MO = 1.5 Na 2 O 4.75 CaO 0.5 MgO 
 0.25 K 2 O 
 
 
 
 Montarville 
 
 116 
 
 7MO-6A1 2 3 
 2H 2 O 
 
 20 SiO 2 
 
 7MO = 1.75Na 2 3 CaO 0.75 H 2 O 
 0.75 FeO 0.5 MgO - 0.25 K 2 O 
 
 Andesine 
 
 Ilfeld 
 
 117 
 
 7 MO 6 A1 2 O 3 
 
 20 SiO 2 
 
 7MO = 1.75Na 2 4.5 CaO 0.5 FeO 
 0.25K 2 O 
 
 Labradorite 
 
 Labrador 
 
 118 
 
 ' 
 
 H 
 
 7 MO = 2 Na 2 O 4.25 CaO 0.5 H 2 O 
 0.25K 2 
 
 
 
 Monte Amiata 
 
 119 
 
 > j> 
 
 
 
 7MO = 2Na 2 O-5CaO 
 
 
 
 Geschiebe bei 
 Berlin 
 
 120 
 
 7MO-6A1 2 3 
 1H 2 O 
 
 20 Si0 2 
 
 7 MO = 2.25 Na 2 O 3.75 CaO 0.5 H 2 O 
 0.5K 2 
 
 Andesine 
 
 Illowa 
 
 121 
 
 7MO-6A1 2 3 
 
 20 Si0 2 
 
 7 MO = 2.25 Na 2 O 3.75 CaO 0.75 H 2 O 
 0.25K 2 O 
 
 > 
 
 Rawdon 
 
 122 
 
 8 MO 6 R 2 O 3 
 
 20 SiO 2 
 
 8 MO = 2.75 Na 2 O 5.25 CaO 
 
 > 
 
 Los 
 Pescadores 
 
THE FELSPAR GROUP 
 
 421 
 
 Analyst 
 
 | SiO, 
 
 A1.0, 
 
 Fe,0 s 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K,0 | Na a O 
 
 H a O 
 
 Total 
 
 Tschermak 
 
 Theory 
 CLII 
 
 55.35 
 56.00 
 
 28.23 
 27.50 
 
 0.70 
 
 z 
 
 10.33 
 10.10 
 
 0.10 
 
 1.08 
 0.40 
 
 5.01 
 5.00 
 
 
 
 100.00 
 99.80 
 
 Klement 
 
 Theory 
 CLIII 
 
 55.35 
 56.10 
 
 28.23 
 27.33 
 
 1.38 
 
 
 
 10.33 
 10.33 
 
 ~ 
 
 1.08 
 0.36 
 
 5.01 
 5.17 
 
 
 
 100.00 
 100.75 
 
 Lehunt 
 
 Theory 
 LXXXIX 
 
 55.35 
 54.67 
 
 28.23 
 
 27.89 
 
 0.31 
 
 0.18 MnO 
 
 10.33 
 10.60 
 
 ~ 
 
 1.08 
 0.49 
 
 5.01 
 5.05 
 
 
 
 100.00 
 99.19 
 
 
 Theory 
 XXIX 
 
 55.35 
 55.24 
 
 28.23 
 29.02 
 
 
 
 ~ 
 
 10.33 
 9.91 
 
 0.19 
 
 1.08 
 1.31 
 
 5.01 
 5.13 
 
 
 
 100.00 
 100.80 
 
 Belter 
 
 Theory 
 XLI 
 
 55.35 
 55.22 
 
 28.23 
 28.93 
 
 
 
 
 
 10.33 
 9.95 
 
 ~ 
 
 1.08 
 0.28 
 
 5.01 
 5.01 
 
 
 
 100.00 
 99.39 
 
 
 
 Theory 
 XLIII 
 
 55.35 
 54.76 
 
 28.23 
 29.09 
 
 
 
 
 
 10.33 
 10.10 
 
 
 
 1.08 
 0.62 
 
 5.01 
 5.00 
 
 - 
 
 100.00 
 99.57 
 
 
 
 Theory 
 XLII 
 
 55.35 
 55.95 
 
 28.23 
 28.41 
 
 
 
 ___ 
 
 10.33 
 
 9.85 
 
 z 
 
 1.08 
 0.43 
 
 5.01 
 5.05 
 
 
 
 100.00 
 99.67 
 
 G. v. Rath 
 
 Theory 
 CLXXI 
 
 55.35 
 55.64 
 
 28.23 
 28.89 
 
 
 
 __ 
 
 10.33 
 10.92 
 
 z 
 
 1.08 
 0.71 
 
 5.01 
 5.09 
 
 - 
 
 100.00 
 101.25 
 
 Delter 
 
 Theory 
 XLIV 
 
 55.35 
 55.93 
 
 28.23 
 28.15 
 
 z 
 
 
 
 10.33 
 
 9.84 
 
 z 
 
 1.08 
 0.69 
 
 5.01 
 5.27 
 
 
 
 100.00 
 99.88 
 
 Delesse 
 
 Theory 
 XLVIII 
 
 55.35 
 56.05 
 
 28.23 
 28.11 
 
 
 
 
 
 10.33 
 10.10 
 
 
 
 1.08 
 0.99 
 
 5.01 
 4.65 
 
 
 
 100.00 
 99.90 
 
 G. v. Rath 
 
 Theory 
 CV 
 
 55.60 
 55.86 
 
 28.35 
 28.10 
 
 
 
 
 
 11.03 
 10.95 
 
 
 
 
 
 5.02 
 5.09 
 
 
 
 100.00 
 100.00 
 
 
 
 Theory 
 XCVII 
 
 55.31 
 55.64 
 
 28.21 
 28.19 
 
 1.02 
 
 
 
 9.68 
 9.79 
 
 0.19 
 
 1.08 
 2.63 
 
 5.72 
 
 5.48 
 
 
 
 100.00 
 100.44 
 
 E. E. Schmid 
 
 Theory 
 XXI 
 
 54.56 
 53.41 
 
 24.35 
 
 24.88 
 
 5.46 
 4.89 
 
 
 
 9.55 
 9.42 
 
 0.44 
 0.44 
 
 
 
 5.64 
 5.62 
 
 
 
 100.00 
 98.66 
 
 S. v. Walters- 
 hausen 
 
 Theory 
 CLI 
 
 53.55 
 53.75 
 
 27.31 
 27.06 
 
 0.99 
 
 
 
 9.37 
 9.58 
 
 0.45 
 0.47 
 
 7.34 
 7.53 
 
 1.38 
 1.25 
 
 0.60 
 0.62 
 
 100.00 
 101.25 
 
 Abich 
 
 Theory 
 LXVII 
 
 54.63 
 53.48 
 
 26.71 
 26.46 
 
 1.82 
 1.60 
 
 0.81 MnO 
 0.89 MnO 
 
 9.56 
 9.47 
 
 1.82 
 1.74 
 
 0.22 
 
 4.23 
 4.10 
 
 0.42 
 0.42 
 
 100.00 
 98.40 
 
 Ricciardi 
 
 Theory 
 LXXII 
 
 53.51 
 53.33 
 
 26.15 
 26.13 
 
 1.78 
 2.87 
 
 0-79 MnO 
 0.59 MnO 
 
 9.99 
 10.34 
 
 1.78 
 1.64 
 
 1.05 
 0.51 
 
 4.15 
 3.97 
 
 0.80 
 0.84 
 
 100.00 
 100.22 
 
 S. v. Walters- 
 hausen 
 
 Theory 
 LXX 
 
 53.19 
 53.56 
 
 24.87 
 25.82 
 
 3.55 
 3.41 
 
 
 
 11.79 
 11.68 
 
 0.44 
 0.52 
 
 1.04 
 0.58 
 
 4.12 
 4.00 
 
 1.00 
 0.95 
 
 100.00 
 100.42 
 
 Hunt 
 
 Theory 
 CXLV 
 
 53.75 
 53.10 
 
 27.42 
 26.80 
 
 1.35 
 
 
 
 11.92 
 11.48 
 
 0.89 
 0.72 
 
 1.05 
 0.71 
 
 4.16 
 4.24 
 
 0.81 
 0.60 
 
 100.00 
 99.00 
 
 Streng 
 
 Theory 
 III 
 
 53.68 
 53.11 
 
 27.38 
 
 27.27 
 
 z 
 
 2.42 
 2.53 
 
 7.51 
 
 7.47 
 
 0.89 
 0.91 
 
 1.05 
 1.08 
 
 4.85 
 5.09 
 
 2.22 
 2.38 
 
 100.00 
 99.84 
 
 Jannasch 
 
 Theory 
 CLV 
 
 53.76 
 54.09 
 
 27.42 
 27.82 
 
 - 
 
 1.61 
 1.50 
 
 11.29 
 11.20 
 
 0.05 
 
 1.06 
 0.43 
 
 4.86 
 4.76 
 
 0.19 
 
 100.00 
 100.04 
 
 Williams 
 
 Theory 
 LVIII 
 
 54.38 
 55.04 
 
 27.74 
 28.09 
 
 
 
 ~ 
 
 10.79 
 10.65 
 
 z 
 
 1.06 
 1.26 
 
 5.62 
 5.61 
 
 0.41 
 0.50 
 
 100.00 
 101.15 
 
 Dulk 
 
 Theory 
 VII 
 
 54.15 
 54.66 
 
 27.62 
 
 27.87 
 
 
 
 
 
 12.64 
 12.01 
 
 
 
 
 
 5.59 
 5.46 
 
 z 
 
 100.00 
 100.00 
 
 K. v. Hauer 
 
 Theory 
 XL 
 
 53.69 
 54.53 
 
 27.37 
 27.37 
 
 
 
 
 
 9.39 
 9.62 
 
 
 
 2.10 
 1.81 
 
 6.24 
 5.98 
 
 1.21 
 1.21 
 
 100.00 
 100.52 
 
 Hunt 
 
 Theory 
 CXXVI 
 
 54.58 
 54.45 
 
 27.84 
 28.05 
 
 0.45 
 
 z 
 
 9.55 
 9.68 
 
 z 
 
 1.07 
 1.06 
 
 6.35 
 6.25 
 
 0.61 
 0.55 
 
 100.00 
 100.49 
 
 Domeyko 
 
 Theory 
 XCI 
 
 52.38 
 50.50 
 
 25.60 
 25.40 
 
 1.75 
 2.10 
 
 z 
 
 12.83 
 12.25 
 
 0.35 
 
 ___ 
 
 7.44 
 7.30 
 
 0.04 
 
 100.00 
 97.94 
 
422 
 
 THE FELSPAR GROUP 
 
 D. Felspars of the type 
 
 Si R Si Si R Si = 6 R 2 3 22 Si0 2 
 
 
 
 
 
 Source 
 
 123 
 
 4 MO 
 
 6R 2 3 
 
 22 SiO 2 
 
 4 MO = 2.5 Na 2 O 0.5 CaO 0.5 MgO 
 
 Andesine 
 
 Mairus (Ar- 
 
 
 
 3H 2 
 
 
 0.5K 2 O ; 6R 2 O 3 =5.75Al 2 O 3 -0.25Fe 2 O 3 
 
 
 dennes) 
 
 124 
 
 5 MO 
 
 6A1 2 3 
 
 22 SiO 2 
 
 5 MO = 2. 75 Na 2 O -2.25 CaO 
 
 Jt 
 
 Tilasinvuori 
 
 
 
 2H 2 
 
 
 
 
 
 125 
 
 6 MO 
 
 6 A1 2 O 3 
 
 22 Si0 2 
 
 6 MO = 1.75 Na 2 3.25 CaO 0.75 H 2 O 
 0.25 MgO 
 
 M 
 
 St. Raphael 
 in Esterelgeb. 
 
 126 
 
 99 
 
 j? 
 
 99 
 
 6 MO = 2 Na 2 O 3.25 CaO 0.5 H 2 O 
 
 >f 
 
 Chateau 
 
 
 
 
 
 0.25K 2 
 
 
 Richer, Can. 
 
 127 
 
 99 
 
 
 
 99 
 
 6 MO = 2 Na 2 O 3.25 CaO 0.5 H 2 O 
 
 ?J 
 
 Lachute 
 
 
 
 
 
 0.25 K 2 O 
 
 
 
 128 
 
 6 MO 
 
 6A1 2 O 3 
 
 22 SiO 2 
 
 6 MO = 2 Na 2 O 3.5 CaO 0.5 K 2 O 
 
 J? 
 
 St. Raphael 
 
 
 
 1H 2 
 
 
 
 
 in Esterelgeb. 
 
 129 
 
 6 MO 
 
 6A1 2 O 3 
 
 22 SiO 2 
 
 6 MO = 2 Na 2 3.75 CaO 0.25 K 2 O 
 
 - 
 
 St. Joachim 
 
 130 
 
 
 
 
 
 
 
 6MO = 2Na 2 O-4CaO 
 
 Labradorite 
 
 Ojamo 
 
 131 
 
 M 
 
 79 
 
 > 
 
 6 MO = 2.25 Na 2 O 3.5 CaO 0.25 K 2 O 
 
 Andesine 
 
 St. Raphael 
 
 
 
 
 
 
 
 in Esterelgeb. 
 
 132 
 
 M 
 
 M 
 
 
 
 
 
 Labradorite 
 
 Labrador 
 
 133 
 
 
 
 
 
 
 
 -- 
 
 
 
 Krakatan 
 
 134 
 
 6 MO 
 
 6A1 2 3 
 
 22 SiO 2 
 
 
 Andesine 
 
 Chateau 
 
 
 
 1H 2 
 
 
 
 
 Richer, Can. 
 
 135 
 
 6 MO 
 
 6 A1 2 O 
 
 22 SiO 2 
 
 
 
 s> 
 
 Sanford, Me. 
 
 
 
 2H 2 O 
 
 
 
 
 
 136 
 
 6 MO 
 
 6A1 2 3 
 
 22 SiO 2 
 
 6 MO = 2.25 Na 2 O 3.75 CaO 
 
 
 
 Tunguragua 
 
 137 
 
 
 
 
 6 MO = 2.5 Na 2 O 3.25 CaO 0.25 MgO 
 
 M 
 
 Nieder- 
 
 
 
 
 
 
 
 mendig 
 
 138 
 
 ft 
 
 M 
 
 tf 
 
 6 MO = 2.5 Na 2 O 3.5 CaO 
 
 ?> 
 
 Guaqua 
 
 
 
 
 
 
 
 Pichincha 
 
 139 
 
 
 
 
 
 
 
 
 
 J> 
 
 Trifail 
 
 140 
 
 
 M 
 
 > 
 
 ,, 
 
 Labradorite 
 
 Ojamo 
 
 141 
 
 7 MO 
 
 6A1 2 3 
 
 22 SiO 2 
 
 7 MO = 1.75 Na 2 O 4 CaO 0.75 H 2 O 
 
 Andesine 
 
 Gratlue 
 
 
 
 2H 2 
 
 
 0.5 K 2 O 
 
 
 
 142 
 
 7 MO 
 
 6A1 2 3 
 
 22 Si0 2 
 
 7MO = 1.75 Na 2 O 4.25 CaO 0.75 H 2 O 
 
 Labradorite 
 
 Monte 
 
 
 
 1H 2 
 
 
 0.25 K 2 O 
 
 
 Amiata 
 
 143 
 
 7 MO 
 
 6A1 2 3 
 
 22 Si0 2 
 
 7 MO = 1.75 Na 2 O 5 CaO 0.25 MgO 
 
 
 
 Verespatek 
 
 144 
 
 
 
 
 7 MO = 2 Na 2 O 3 CaO-1 FeO-0.75 K 2 O 
 
 Andesine 
 
 Luccivna, 
 
 
 
 
 
 0.25 MgO 
 
 
 N. Tatra 
 
 145 
 
 7 MO 
 
 6A1 2 3 
 
 22 SiO 2 
 
 7 MO = 2 Na 2 O-3 CaO-1 FeO-0.75 K 2 O 
 
 }r 
 
 ,, 
 
 
 
 5H 2 O 
 
 
 0.25 MgO 
 
 
 
 146 
 
 9 MO 
 
 6 A1 2 3 
 
 22 SiO 2 
 
 9 MO = 2 Na 2 O -6.75 CaO -0.25 MgO 
 
 }> 
 
 St. Raphael 
 
 
 
 3H 2 O 
 
 
 
 
 in Esterelgeb 
 
THE FELSPAR GROUP 
 
 423 
 
 or the general formula 
 
 m MO 6 R 2 3 22 Si0 2 n H 2 0. 
 
 Analyst 
 
 
 Si0 2 
 
 A1 2 0, 
 
 Fe 2 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K 2 
 
 Na 2 
 
 H 2 
 
 Total 
 
 Klement 
 
 Theory 
 
 58.65 
 
 26.06 
 
 1.78 
 
 
 
 1.24 
 
 0.89 
 
 2.09 
 
 6.89 
 
 2.40 
 
 100.00 
 
 
 LXVIII 
 
 59.78 
 
 26.69 
 
 2.05 
 
 
 
 1.35 
 
 0.58 
 
 1.69 
 
 7.29 
 
 225 
 
 101.68 
 
 Wilk 
 
 Theory 
 
 58.37 
 
 27.06 
 
 
 
 
 
 6.16 
 
 
 
 
 
 6.82 
 
 1.59 
 
 100.00 
 
 
 LXXVIII 
 
 58.39 
 
 26.68 
 
 
 
 
 
 5.63 
 
 
 
 
 
 7.69 
 
 1.61 
 
 10000 
 
 Deville 
 
 Theory 
 
 58.78 
 
 27.25 
 
 
 
 
 
 8.10 
 
 0.44 
 
 
 
 4.83 
 
 0.60 
 
 100.00 
 
 
 LVI 
 
 59.07 
 
 26.67 
 
 
 
 
 
 7.96 
 
 0.58 
 
 Trace 
 
 4.95 
 
 0.77 
 
 100.00 
 
 Hunt 
 
 Theory 
 
 58.13 
 
 26.95 
 
 
 
 
 
 8.02 
 
 
 
 1.04 
 
 5.46 
 
 0.40 
 
 100.00 
 
 
 CXXI 
 
 58.50 
 
 25.80 
 
 1.00 
 
 
 
 8.06 
 
 0.20 
 
 1.16 
 
 5.45 
 
 0.40 
 
 100.57 
 
 >? 
 
 Theory 
 
 58.13 
 
 26.95 
 
 
 
 
 
 8.02 
 
 
 
 1.04 
 
 5.46 
 
 0.40 
 
 100.00 
 
 
 cxxv 
 
 58.15 
 
 26.09 
 
 0.50 
 
 
 
 7.78 
 
 0.16 
 
 1.21 
 
 5.55 
 
 0.45 
 
 99.89 
 
 Rammelsberg 
 
 Theory 
 
 56.98 
 
 26.41 
 
 
 
 
 
 8.46 
 
 
 
 2.03 
 
 5.35 
 
 0.77 
 
 100.00 
 
 
 LV 
 
 58.32 
 
 26.52 
 
 
 
 
 
 8.18 
 
 0.11 
 
 2.36 
 
 5.27 
 
 0.60 
 
 101.36 
 
 Hunt 
 
 Theory 
 
 57.66 
 
 26.72 
 
 
 
 
 
 9.17 
 
 
 
 1.03 
 
 5.42 
 
 
 
 100.00 
 
 
 CXXIV 
 
 57.55 
 
 27.10 
 
 0.20 
 
 
 
 8.73 
 
 
 
 0.79 
 
 5.38 
 
 
 
 99.75 
 
 Bonsdorff and 
 
 Theory 
 
 57.90 
 
 26.85 
 
 
 
 
 
 9.82 
 
 
 
 
 
 5.43 
 
 
 
 100.00 
 
 Laurell 
 
 CXIV 
 
 57.69 
 
 26.00 
 
 0.67 
 
 
 
 9.87 
 
 
 
 
 
 5.50 
 
 
 
 99.73 
 
 Rammelsberg 
 
 Theory 
 
 57.62 
 
 26.71 
 
 
 
 
 
 8.55 
 
 
 
 1.03 
 
 6.09 
 
 
 
 100.00 
 
 
 LIX 
 
 58.03 
 
 26.64 
 
 
 
 
 
 8.07 
 
 
 
 0.97 
 
 6.16 
 
 0.30 
 
 99.87 
 
 Lemberg 
 
 Theory 
 
 57.62 
 
 26.71 
 
 
 
 
 
 8.55 
 
 
 
 1.03 
 
 6.09 
 
 
 
 100.00 
 
 
 CLVII 
 
 57.36 
 
 27.01 
 
 
 
 
 
 8.55 
 
 
 
 0.65 
 
 6.03 
 
 
 
 100.00 
 
 n 
 
 Theory 
 
 57.62 
 
 26.71 
 
 
 
 
 
 8.55 
 
 
 
 1.03 
 
 6.09 
 
 
 
 100.00 
 
 
 CXXV 
 
 58.29 
 
 27.19 
 
 
 
 
 
 8.27 
 
 
 
 1.22 
 
 5.82 
 
 
 
 100.79 
 
 Hunt 
 
 Theory 
 
 57.17 
 
 26.51 
 
 
 
 
 
 8.49 
 
 
 
 1.02 
 
 6.04 
 
 0.77 
 
 100.00 
 
 
 CXXIII 
 
 57.20 
 
 26.40 
 
 0.40 
 
 
 
 8.34 
 
 
 
 0.84 
 
 5.83 
 
 0.65 
 
 99.60 
 
 Payne 
 
 Theory 
 
 56.72 
 
 26.30 
 
 
 
 
 
 8.42 
 
 
 
 1.01 
 
 6.00 
 
 1.55 
 
 100.00 
 
 
 CXVI 
 
 56.65 
 
 25.56 
 
 0.22 
 
 
 
 8.25 
 
 
 
 1.34 
 
 6.18 
 
 1.58 
 
 99.78 
 
 G. v. Rath 
 
 Theory 
 
 57.86 
 
 26.82 
 
 
 
 
 
 9.20 
 
 
 
 
 
 6.12 
 
 
 
 100.00 
 
 
 CII 
 
 57.80 
 
 26.75 
 
 
 
 
 
 9.05 
 
 
 
 
 
 6.40 
 
 
 
 100.00 
 
 Laspeyres 
 
 Theory 
 
 57.92 
 
 26.86 
 
 
 
 
 
 7.98 
 
 0.44 
 
 
 
 6.80 
 
 
 
 100.00 
 
 
 X 
 
 57.29 
 
 26.78 
 
 
 
 
 
 8.01 
 
 0.28 
 
 
 
 6.84 
 
 Trace 
 
 99.20 
 
 G. v. Rath 
 
 Theory 
 
 57.82 
 
 26.81 
 
 
 
 
 
 8.58 
 
 __ 
 
 
 
 6.79 
 
 
 
 100.00 
 
 
 C " 
 
 58.15 
 
 26.10 
 
 
 
 
 
 9.05 
 
 
 
 
 
 6.70 
 
 
 
 100.00 
 
 Maly 
 
 Theory 
 
 57.82 
 
 26.81 
 
 
 
 
 
 8.58 
 
 
 
 
 
 6.79 
 
 
 
 100.00 
 
 
 XLVII 
 
 57.53 
 
 26.62 
 
 
 
 
 
 8.48 
 
 0.23 
 
 0.39 
 
 6.90 
 
 
 
 100.15 
 
 Williams 
 
 Theory 
 
 57.82 
 
 26.82 
 
 
 
 
 
 8.58 
 
 
 
 
 
 6.78 
 
 
 
 100.00 
 
 
 cxv 
 
 57.75 
 
 26.15 
 
 0.60 
 
 
 
 8.48 
 
 
 
 
 
 6.25 
 
 
 
 99.23 
 
 Heddle 
 
 Theory 
 
 55.91 
 
 25.92 
 
 
 
 
 
 9.49 
 
 
 
 1.99 
 
 4.60 
 
 2.09 
 
 100.00 
 
 
 LXXII 
 
 56.30 
 
 25.71 
 
 0.97 
 
 
 
 9.35 
 
 
 
 1.49 
 
 4.72 
 
 1.82 
 
 100.36 
 
 Williams 
 
 Theory 
 
 56.56 
 
 26.23 
 
 
 
 
 
 10.20 
 
 
 
 1.01 
 
 4.65 
 
 1.35 
 
 100.00 
 
 
 LVI 
 
 55.68 
 
 26.66 
 
 
 
 
 
 10.30 
 
 
 
 1.43 
 
 4.70 
 
 1.23 
 
 100.00 
 
 Sipocz 
 
 Theory 
 
 56.64 
 
 26.26 
 
 
 
 
 
 12.02 
 
 0.42 
 
 
 
 4.66 
 
 
 
 100.00 
 
 
 XXXVII 
 
 55.21 
 
 25.56 
 
 1.00 
 
 
 
 11.76 
 
 0.53 
 
 
 
 4.37 
 
 
 
 101.43 
 
 Hofer 
 
 Theory 
 
 55.54 
 
 25.75 
 
 
 
 3.03 
 
 7.07 
 
 0.42 
 
 2.97 
 
 5.22 
 
 
 
 100.00 
 
 
 XXIX 
 
 56.04 
 
 25.55 
 
 
 
 3.12 
 
 7.19 
 
 0.59 
 
 2.59 
 
 4.92 
 
 
 
 100.00 
 
 j> 
 
 Theory 
 
 53.51 
 
 24.81 
 
 
 
 2.92 
 
 6.81 
 
 0.41 
 
 2.86 
 
 5.03 
 
 3.65 
 
 100.00 
 
 
 XXVIII 
 
 53.26 
 
 24.28 
 
 
 
 2.96 
 
 6.83 
 
 0.56 
 
 2.47 
 
 4.68 
 
 3.98 
 
 99.02 
 
 Deville 
 
 Theory 
 
 52.84 
 
 24.51 
 
 
 
 
 
 15.13 
 
 0.40 
 
 
 
 4.96 
 
 2.16 
 
 100.00 
 
 
 LVIII 
 
 52.42 
 
 24.78 
 
 
 
 
 
 15.02 
 
 0.51 
 
 0.14 
 
 5.10 
 
 2.03 
 
 100.00 
 
424 
 
 THE FELSPAR GROUP 
 
 Si R Si Si 
 
 E. Felspars of the type 
 R S A i = 6 R 2 O 3 24 Si0 2 
 
 
 
 
 Source 
 
 147 
 
 4 MO 6 R 2 O 3 
 
 24 Si0 2 
 
 4 MO = 2 Na 2 O 0. 75 CaO 0. 75 K 2 O 
 
 Oligoclase 
 
 Helsingfors 
 
 
 6H 2 O 
 
 
 0.5 MgO ; 6 R 2 O 3 =5.5 A1 2 O 3 -0.5 Fe 2 O 3 
 
 
 
 148 
 
 4 MO 6 A1 2 O 9 
 
 24 SiO 2 
 
 4 MO = 2 Na 2 O 1.75 CaO 0.25 K 2 O 
 
 if 
 
 Tokowaja 
 
 149 
 
 
 
 4 MO = 2.25 Na 2 O 1.5 CaO 0.25 K 2 O 
 
 M 
 
 Bakersville, N.C. 
 
 150 
 
 5 MO 6 A1 2 3 
 
 24Si0 2 
 
 5 MO = 2 Na 2 O 2 CaO 1 K 2 O 
 
 Andeaine 
 
 Horberig 
 
 151 
 
 5 MO 6 R 2 O 3 
 
 24SiO 2 
 
 5MO = 5Na 2 2.25 CaO - 0.75K 2 O 
 
 
 Milltown 
 
 
 5H 2 
 
 
 6 R 2 O 3 = 5.5 A1 2 O 3 0.5 Fe 2 O 3 
 
 
 
 152 
 
 5 MO 6 A1 2 O 3 
 
 24 Si0 2 
 
 5 M0 = 2.25 Na 2 O 2 CaO 0.75 K 2 O 
 
 Oligoclase 
 
 Durrmorsbach 
 
 
 2H 2 O 
 
 
 
 
 
 153 
 
 5 MO 6 R 2 O 3 
 
 24 SiO 2 
 
 5 MO = 2.5 Na 2 O 2 CaO 0.5 K 2 O 
 
 ? 
 
 Ardara 
 
 
 
 
 6 R 2 O 3 =5.75 A1 2 O 3 0.25 Fe 2 O 3 
 
 
 
 154 
 
 5 MO 6 A1,O 3 
 
 24 SiO 2 
 
 5 MO = 2.5 Na 2 O 2.5 CaO 
 
 Andesine 
 
 Milltown 
 
 
 1 H 2 O 
 
 
 
 
 Csicso-Berg 
 
 155 
 
 5 MO 6 A1 2 O 
 
 24 SiO 2 
 
 5 MO = 2.75 Na 2 O 1.5 CaO 0.75 K 2 O 
 
 Oligoclase 
 
 Allemont 
 
 
 2 H 2 O ' 
 
 
 
 
 
 156 
 
 5 MO 6 A1 2 O 3 
 
 24SiO 2 
 
 5 MO = 2.75 Na 2 O 1.5 CaO 0.5 MgO 
 
 > 
 
 Bourg d'Ofsans 
 
 
 2 H 2 O 
 
 
 0.25K 2 O 
 
 
 
 157 
 
 5 MO 6 A1 2 3 
 
 24 Si0 2 
 
 5MO = 3Na 2 O-2CaO 
 
 > 
 
 Carter-MineN.C. 
 
 158 
 
 6 MO 6 A1 2 3 
 
 24 SiO 2 
 
 6 MO = 1.5 Na 2 4 CaO 0.25 K 2 O 
 
 Andesine 
 
 Kyffhauser 
 
 
 1H 2 
 
 
 0.25 FeO 
 
 
 
 159 
 
 6 MO 6 A1 2 3 
 
 24 SiO 2 
 
 6 MO = 2 Na 2 O 3.25 CaO - 0.5 H 2 O 
 
 M 
 
 Chateau Richer, 
 
 
 
 
 0.25 K 2 
 
 
 Canada 
 
 160 
 
 
 
 
 
 6 MO = 2.25 Na 2 O 3.25 CaO-0.25 MgO 
 
 > 
 
 Frauenberg bei 
 
 
 
 
 0.25K 2 
 
 
 Schluchtern 
 
 161 
 
 6 MO 6 A1 2 O 3 
 
 24 SiO 2 
 
 6 MO = 2. 5 Na n O 2.25 CaO 0.75 MgO 
 
 n 
 
 La Bresse 
 
 
 1H 2 
 
 
 0.5K 2 
 
 
 
 162 
 
 6MO-6A1 2 3 
 
 24 SiO 2 
 
 6 MO = 2.5 Na 2 O 2.5 CaO 0.5 K 2 O 
 
 19 
 
 Cullakenee, 
 
 
 1H 2 
 
 
 0.5 H 2 O 
 
 
 Clay Co., N.C. 
 
 163 
 
 6 MO 6 A1 2 O 3 
 
 24SiO 2 
 
 6 MO = 2.5 Na 2 O 2.5 CaO 0.75 H O 
 
 n 
 
 Faymont 
 
 
 1H 2 
 
 
 0.25 K 2 
 
 
 
 164 
 
 6 MO 6 A1 2 O 3 
 
 24 Si0 2 
 
 6 MO = 2.5 Na 2 O 2.5 CaO 0.75 H 2 O 
 
 
 Sebesvar 
 
 
 lH a O 
 
 
 0.25K 2 O 
 
 
 
 165 
 
 6 MO 6 R 2 O 3 
 
 24SiO 2 
 
 6 MO = 2.5 Na 2 O 2.5 CaO 0.75 MgO 
 
 
 Marmato 
 
 
 
 
 0.25K 2 0;6R 2 3 =5.75Al 2 3 -0.25Fe 2 3 
 
 
 bei Popayan 
 
 166 
 
 6 MO 6 A1 2 O 3 
 
 24 Si0 2 
 
 6 MO = 2.5 Na 2 O 2.75 CaO 0.5 H 2 O 
 
 s> 
 
 Coromandel 
 
 
 
 
 0.25 K 2 O 
 
 
 
 167 
 
 >j 
 
 ,, 
 
 6 MO = 2.5 Na 2 O 3 CaO 0.25 MgO 
 
 t _ 
 
 Budenmais 
 
 
 
 
 0.25 H 2 O 
 
 
 
 168 
 
 > 
 
 
 
 6 MO = 2.5 Na 2 O 3.5 CaO 
 
 > 
 
 Pululagua 
 
 169 
 
 6 MO 6 A1 2 O 3 
 
 24Si0 2 
 
 6 MO = 2. 75 Na 2 O 1.5 CaO 1 K.O 
 
 Oligoclase 
 
 Unionville, Pa. 
 
 
 2 H 2 O ' 
 
 
 0.5 H 2 0- 0.25 MgO 
 
 
 
 170 
 
 6 MO 6 A1 2 O 3 
 
 24 Si0 2 
 
 6 MO = 2. 75 Na 2 O 2 CaO 0.5 K 2 O 
 
 Andesine 
 
 Servance 
 
 
 1H 2 O 
 
 
 0.5 H 2 0- 0.25 MgO 
 
 
 
THE FELSPAR GROUP 
 
 425 
 
 or the general formula 
 
 m MO 6 R 2 O 3 24 Si0 2 n H 2 0. 
 
 Analyst 
 
 
 SiO a 
 
 AIsO, 
 
 Fe 2 3 
 
 FeO 
 
 CaO 
 
 MgO 
 
 K a O 
 
 Na,0 
 
 H a o 
 
 Total 
 
 Lemberg 
 
 Theory 
 
 58.88 
 
 22.94 
 
 3.27 
 
 
 
 1.72 
 
 0.82 
 
 2.88 
 
 5.07 
 
 4.42 
 
 100.00 
 
 
 CVI 
 
 58.30 
 
 23.15 
 
 4.09 
 
 
 
 1.65 
 
 0.59 
 
 2.52 
 
 5.26 
 
 4.44 
 
 100.00 
 
 Jewreinow 
 
 Theory 
 
 62.68 
 
 26.64 
 
 
 
 
 
 4.26 
 
 
 
 1.02 
 
 5.40 
 
 
 
 100.00 
 
 
 cxv 
 
 60.63 
 
 26.35 
 
 0.40 
 
 
 
 4.15 
 
 0.25 
 
 1.17 
 
 5.60 
 
 
 
 98.55 
 
 Clarke 
 
 Theory 
 
 62.64 
 
 26.61 
 
 
 
 
 
 3.65 
 
 
 
 1.02 
 
 6.07 
 
 
 
 100.00 
 
 
 CXXIX 
 
 62.92 
 
 25.32 
 
 
 
 
 
 4.03 
 
 
 
 0.96 
 
 6.18 
 
 0.25 
 
 99.66 
 
 Knop 
 
 Theory 
 
 60.45 
 
 25.69 
 
 
 
 
 
 4.71 
 
 
 
 3.94 
 
 5.21 
 
 
 
 100.00 
 
 
 XVII 
 
 60.01 
 
 25.49 
 
 
 
 
 
 4.71 
 
 
 
 4.06 
 
 5.77 
 
 
 
 100.04 
 
 Heddle 
 
 Theory 
 
 57.81 
 
 22.51 
 
 3.21 
 
 
 
 5.06 
 
 
 
 2.83 
 
 4.97 
 
 3.61 
 
 100.00 
 
 
 LXIX 
 
 58.38 
 
 22.50 
 
 2.12 
 
 O.lSMnO 
 
 5.34 
 
 
 
 3.20 
 
 5.21 
 
 3.41 
 
 100.31 
 
 Haushofer 
 
 Theory 
 
 59.75 
 
 25.40 
 
 
 
 
 
 4.65 
 
 
 
 2.92 
 
 5.79 
 
 1.49 
 
 100.00 
 
 
 XXIX 
 
 59.30 
 
 25.75 
 
 
 
 
 
 4.79 
 
 
 
 2.78 
 
 5.63 
 
 1.29 
 
 99.54 
 
 Haughton 
 
 Theory 
 
 60.49 
 
 24.64 
 
 1.68 
 
 
 
 4.71 
 
 
 
 1.97 
 
 6.51 
 
 
 
 100.00 
 
 
 LXIII 
 
 59.28 
 
 22.96 
 
 1.94 
 
 0.32 MnO 
 
 4.65 
 
 0.21 
 
 2.38 
 
 6.48 
 
 
 
 98.22 
 
 Koch 
 
 Theorv 
 
 60.89 
 
 25.88 
 
 
 
 
 
 5.92 
 
 
 
 
 
 6.55 
 
 0.76 
 
 100.00 
 
 
 XL VI 
 
 61.62 
 
 25.47 
 
 
 
 
 
 5.72 
 
 
 
 
 
 6.31 
 
 0.88 
 
 100.00 
 
 Lory 
 
 Theory 
 
 59.68 
 
 25.36 
 
 
 
 
 
 3.48 
 
 
 
 2.92 
 
 7.07 
 
 1.49 
 
 100.00 
 
 
 LIV 
 
 59.40 
 
 24.20 
 
 0.60 
 
 
 
 3.70 
 
 
 
 3.80 
 
 7.00 
 
 1.50 
 
 99.80 
 
 5> 
 
 Theory 
 
 60.35 
 
 25.65 
 
 
 
 
 
 3.52 
 
 0.84 
 
 0.98 
 
 7.15 
 
 1.51 
 
 100.00 
 
 
 LV 
 
 59.90 
 
 25.10 
 
 
 
 
 
 3.70 
 
 0.70 
 
 1.20 
 
 7.40 
 
 1.70 
 
 99.70 
 
 Keller 
 
 Theory 
 
 61.29 
 
 26.04 
 
 
 
 
 
 4.76 
 
 
 
 
 
 7.91 
 
 
 
 100.00 
 
 
 CXXXI 
 
 62.32 
 
 25.19 
 
 
 
 
 
 5.01 
 
 
 
 0.25 
 
 8.02 
 
 
 
 10079 
 
 Streng 
 
 Theory 
 
 59.30 
 
 25.20 
 
 
 
 0.74 
 
 9.23 
 
 
 
 0.96 
 
 3.83 
 
 0.74 
 
 100.00 
 
 
 V * 
 
 59.16 
 
 25.97 
 
 
 
 1.04 
 
 9.23 
 
 0.03 
 
 0.47 
 
 3.91 
 
 0.68 
 
 100.49 
 
 Hunt 
 
 Theory 
 
 60.24 
 
 25.60 
 
 
 
 
 
 7.61 
 
 
 
 0.98 
 
 5.19 
 
 0.38 
 
 100.00 
 
 
 CXVII 
 
 59.55 
 
 25.62 
 
 0.75 
 
 
 
 7.73 
 
 Trace 
 
 0.96 
 
 5.09 
 
 0.45 
 
 100.15 
 
 Wedel 
 
 Theory 
 
 59.82 
 
 25.42 
 
 
 
 
 
 7.65 
 
 0.43 
 
 0.98 
 
 5.79 
 
 
 
 100.00 
 
 
 VII 
 
 59.19 
 
 25.77 
 
 0.34 (Fe 2 O a +FeO) 
 
 7.27 
 
 0.27 
 
 0.80 
 
 5.88 
 
 0.37 Ti0 2 
 
 99.89 
 
 Delesse 
 
 Theory 
 
 59.31 
 
 25.21 
 
 
 
 
 
 5.19 
 
 1.24 
 
 1.93 
 
 6.38 
 
 0.74 
 
 100.00 
 
 
 XVI 
 
 58.55 
 
 25.26 
 
 0.30 
 
 
 
 5.03 
 
 1.30 
 
 1.50 
 
 6.44 
 
 0.91 
 
 99.29 
 
 Chatard 
 
 Theory 
 
 59.48 
 
 25.28 
 
 
 
 
 
 5.78 
 
 
 
 1.94 
 
 6.40 
 
 1.12 
 
 100.00 
 
 
 CXV 
 
 58.41 
 
 25.93 
 
 0.38 
 
 
 
 5.82 
 
 0.18 
 
 2.10 
 
 6.42 
 
 0.93 
 
 100.20 
 
 Delesse 
 
 Theory 
 
 59.96 
 
 25.48 
 
 
 
 
 
 5.83 
 
 
 
 0.97 
 
 6.45 
 
 1.31 
 
 100.00 
 
 
 XV 
 
 59.38 
 
 25.57 
 
 
 
 
 
 6.50 
 
 
 
 7.03 
 
 1.25 
 
 100.00 
 
 K. v. Haue 
 
 Theory 
 
 59.96 
 
 25.48 
 
 
 
 
 
 5.83 
 
 
 
 0.97 
 
 6.45 
 
 1.31 
 
 100.00 
 
 
 XLII 
 
 59.50 
 
 25.48 
 
 
 
 
 
 5.82 
 
 
 
 1.43 
 
 6.43 
 
 1.35 
 
 100.07 
 
 Abich 
 
 Theory 
 
 59.63 
 
 24.28 
 
 1.66 
 
 
 
 5.80 
 
 1.24 
 
 0.97 
 
 6.42 
 
 
 
 100.00 
 
 
 CVI 
 
 59.60 
 
 24.28 
 
 1.58 
 
 
 
 5.77 
 
 1.08 
 
 1.08 
 
 6.53 
 
 
 
 99.92 
 
 Dirvell 
 
 Theory 
 
 60.16 
 
 25.57 
 
 
 
 
 
 6.43 
 
 
 
 0.98 
 
 6.48 
 
 0.38 
 
 100.00 
 
 
 LXXXIV 
 
 61.32 
 
 25.30 
 
 
 
 
 
 6.50 
 
 
 
 1.19 
 
 6.30 
 
 0.50 
 
 101.11 
 
 Foullon 
 
 Theorv 
 
 59.79 
 
 25.41 
 
 
 
 
 
 6.99 
 
 0.41 
 
 0.97 
 
 6.43 
 
 
 
 100.00 
 
 
 XXVI 
 
 59.22 
 
 25.08 
 
 0.96 
 
 
 
 7.08 
 
 0.28 
 
 0.54 
 
 6.79 
 
 
 
 100.78 
 
 G. v. Rath 
 
 Theory 
 
 59.93 
 
 25.47 
 
 
 
 
 
 8.15 
 
 
 
 
 
 6.45 
 
 
 
 100.00 
 
 
 XCIX 
 
 59.39 
 
 26.08 
 
 
 
 
 
 820 
 
 
 
 0.22 
 
 6.74 
 
 
 
 100.63 
 
 Chatard 
 
 Theorv 
 
 58.65 
 
 24.92 
 
 
 
 
 
 3.42 
 
 0.41 
 
 3.83 
 
 6.94 
 
 1.83 
 
 100.00 
 
 
 CXXXVII 
 
 59.35 
 
 24.16 
 
 0.61 
 
 
 
 3.08 
 
 0.34 
 
 3.78 
 
 7.22 
 
 1.96 
 
 100.50 
 
 Delesse 
 
 Theory 
 
 59.54 
 
 25.31 
 
 
 
 
 
 4.63 
 
 0.41 
 
 1.94 
 
 7.05 
 
 1.12 
 
 100.00 
 
 
 XIII 
 
 58.92 
 
 25.05 
 
 
 
 
 
 4.64 
 
 0.41 
 
 2.06 
 
 7.20 
 
 1.27 
 
 99.50 
 
THE FELSPAR GROUP 
 
 
 
 
 
 Source 
 
 171 
 
 6 MO 6A1 2 3 
 
 24 Si0 2 
 
 6MO = 2.75Na,0-2.25CaO-0.75K 2 O 
 0.25MgO 
 
 Oligoclase 
 
 Beloceil 
 
 172 
 
 
 
 n 
 
 6 MO = 2.75 Na 2 3 CaO 0.25 K 2 O 
 
 Andesine 
 
 Heubach 
 
 173 
 
 > 
 
 H 
 
 J5 >J 
 
 
 
 (Chateau Richer, 
 Canada) Toluca 
 
 174 
 
 > 
 
 > 
 
 6MO = 3Na 2 1.75 CaO 0.75 H 2 O 
 0.25MgO-0.25K 2 O 
 
 Oligoclase 
 
 Norway 
 
 175 
 
 6MO-6A1 2 3 
 1H 2 
 
 24 SiO 2 
 
 6 MO = 3 Na 2 O 1.75 CaO 0.75 K 2 O 
 0.25MgO-0.25H 2 O 
 
 Andesine 
 
 Coravillers 
 
 176 
 
 6 MO 6 A1 2 O 3 
 1H 2 
 
 24 SiO 2 
 
 6 MO = 3 Na 2 O-2 CaO-0.5 K 2 O-0.5H 2 O 
 
 Oligoclase 
 
 Altai 
 
 177 
 
 6 MO 6R 2 O, 
 -3H 2 0* 
 
 24 SiO 2 
 
 6 MO = 3 Na 2 O 2.5 CaO 0.25 MgO 
 0.25Na 2 0;6R 2 3 =5.75Al 2 3 -0.25Fe 2 3 
 
 Andesine 
 
 Frankenstein 
 
 178 
 
 6 MO 6 A1 2 O 3 
 
 24 SiO 2 
 
 6 MO = 3 Na 2 O 2.75 CaO - 0.25 K 2 O 
 
 " 
 
 Marmato 
 bei Popayan 
 
 179 
 
 > 
 
 j> 
 
 6MO = 3Na 2 O-3CaO 
 
 
 
 Mojanda 
 
 180 
 
 > 
 
 H 
 
 6MO = 3.75Na 2 O- 2.25 CaO 
 
 H 
 
 Bodenmais 
 
 181 
 
 6 MO 6 A1 2 O 3 
 3H 2 
 
 24Si0 2 
 
 6MO = 4Na 2 O-2CaO 
 
 J> 
 
 
 
 182 
 
 7 MO 6 A1 2 O 8 
 3H 2 
 
 24 SiO 2 
 
 7 MO = 2.5 Na,O 3.25 CaO 0.75 H 2 O 
 "0.5K 2 O 
 
 J> 
 
 Szaszka 
 
 183 
 
 7MO-6R 2 3 
 1H 2 
 
 24 SiO a 
 
 7 MO = 2.5 Na 2 O 3.5 CaO 0.5 K 2 O 
 0.5H 2 O;6R 2 O 3 =5.75Al 2 O 3 -0.25Fe 2 O 3 
 
 
 
 Chateau Richer, 
 Canada 
 
 184 
 
 7MO-6A1 2 3 
 -2H 2 
 
 24 SiO 2 
 
 7 MO = 2.75 Na 2 O 3.5 CaO 0.75 K 2 O 
 
 " 
 
 Delnabo 
 Glen Gairu 
 
 185 
 
 7 MO 6 A1 2 O, 
 2H 2 
 
 24 SiO 2 
 
 7 MO = 3 Na 2 O 3.25 CaO 0.5 K 2 O 
 0.25H 2 
 
 H 
 
 Nagy Sebes 
 
 186 
 
 7 MO 6 A1 2 O 3 
 
 24 SiO 2 
 
 7 MO = 3 Na 2 O 3.25 CaO 0.5 K 2 O 
 0.25MgO 
 
 * 
 
 Marmato 
 bei Popayan 
 
 187 
 
 
 
 
 
 7 MO = 3.5 Na 2 O 3 CaO 0.5 MgO 
 
 Oligoclase 
 
 Baumgarten 
 
THE FELSPAR GROUP 
 
 427 
 
 Analyst 
 
 Si0 2 
 
 A1 2 3 
 
 Fe 2 3 
 
 FeO | CaO 
 
 MgO 
 
 K 2 
 
 Na t O 
 
 H t O 
 
 Total 
 
 Hoffmann 
 
 Theory 
 CXLV 
 
 59.28 
 58.30 
 
 25.19 
 24.72 
 
 Z 
 
 
 
 5.19 
 5.42 
 
 0.42 
 0.91 
 
 7.02 
 2.74 
 
 7.02 
 6.72 
 
 0.50 
 
 100.00 
 99.32 
 
 Petersen 
 
 Theory 
 XX 
 
 59.66 
 
 58.77 
 
 25.36 
 25.30 
 
 0.31 (1 
 
 ^e 2 O s +FeO) 
 
 6.95 
 6.90 
 
 0.18 
 
 0.97 
 0.60 
 
 7.06 
 6.67 
 
 0.28 TiO 2 
 
 100.00 
 99.01 
 
 G. v. Rath 
 
 Theory 
 CXIII 
 
 59.66 
 59.79 
 
 25.36 
 25.43 
 
 
 
 
 
 6.95 
 7.41 
 
 
 
 0.97 
 0.64 
 
 7.06 
 7.24 
 
 
 
 100.00 
 100.51 
 
 Dirvell 
 
 Theory 
 LXXV 
 
 60.42 
 61.14 
 
 25.68 
 25.10 
 
 
 
 
 
 4.11 
 
 4.39 
 
 0.42 
 0.50 
 
 0.99 
 1.17 
 
 7.81 
 7.66 
 
 0.57 
 0.80 
 
 100.00 
 100.76 
 
 Delesse 
 
 Theory 
 XIV 
 
 59.04 
 58.91 
 
 25.09 
 24.59 
 
 0.99 
 
 
 
 4.02 
 4.01 
 
 0.41 
 0.39 
 
 2.89 
 2.54 
 
 7.63 
 7.59 
 
 0.92 
 0.98 
 
 100.00 
 100.00 
 
 Christschoff 
 
 Theory 
 CXVIII 
 
 59.16 
 
 58.89 
 
 25.15 
 25.38 
 
 z 
 
 
 
 4.60 
 4.69 
 
 
 
 1.93 
 1.35 
 
 8.05 
 7.65 
 
 1.11 
 1.17 
 
 100.00 
 99.25 
 
 Schmidt 
 
 Theory 
 I 
 
 58.10 
 58.93 
 
 23.70 
 23.50 
 
 1.61 
 1.27 
 
 0.75NiO 
 0.39 NiO 
 
 5.66 
 5.67 
 
 0.40 
 0.56 
 
 0.50 
 
 7.52 
 7.42 
 
 2.18 
 2.21 
 
 100.00 
 100.00 
 
 Rammels- 
 berg 
 
 Theory 
 CVII 
 
 59.62 
 60.26 
 
 25.23 
 25.01 
 
 
 
 6.38 
 6.87 
 
 0.14 
 
 0.97 
 0.84 
 
 7.70 
 
 7.74 
 
 
 
 100.00 
 100.86 
 
 G. v. Rath 
 
 Theory 
 XCVIII 
 
 59.85 
 60.48 
 
 25.44 
 25.35 
 
 
 
 
 
 6.98 
 7.25 
 
 
 
 0.08 
 
 7.73 
 
 7.28 
 
 
 
 100.00 
 100.44 
 
 A. Ohl 
 
 Theory 
 XXIV 
 
 59.74 
 60.35 
 
 25.39 
 26.13 
 
 
 
 
 
 5.23 
 5.14 
 
 
 
 
 
 9.64 
 9.32 
 
 
 
 100.00 
 100.94 
 
 H. Schulze 
 
 Theory 
 XXIII 
 
 5926 
 58.36 
 
 25.17 
 25.72 
 
 
 
 
 4.62 
 4.76 
 
 z 
 
 
 
 10.21 
 
 10.18 
 
 0.74 
 0.51 
 
 100.00 
 99.63 
 
 Sommaruga 
 
 Theory 
 XXXIX 
 
 57.52 
 56.51 
 
 24.46 
 24.94 
 
 
 
 
 
 7.26 
 7.08 
 
 z 
 
 1.88 
 1.28 
 
 6.19 
 6.37 
 
 2.69 
 2.55 
 
 100.00 
 98.73 
 
 Franke 
 
 Theory 
 
 cxx 
 
 57.80 
 58.38 
 
 23.53 
 23.86 
 
 1.61 
 1.18 
 
 
 
 7.87 
 7.83 
 
 
 
 1.89 
 1.68 
 
 6.22 
 6.05 
 
 1.08 
 1.03 
 
 100.00 
 100.11 
 
 Heddle 
 
 Theorv 
 LXXI 
 
 57.03 
 56.96 
 
 24.23 
 23.81 
 
 0.94 
 
 
 
 7.77 
 7.98 
 
 0.09 
 
 2.79 
 2.56 
 
 6.75 
 6.85 
 
 1.43 
 1.62 
 
 100.00 
 100.81 
 
 K. v. Hauer 
 
 Theory 
 XLI 
 
 57.42 
 57.20 
 
 24.41 
 25.12 
 
 ~ 
 
 z 
 
 7.26 
 6.96 
 
 __ 
 
 1.87 
 1.87 
 
 7.42 
 
 7.28 
 
 1.62 
 1.68 
 
 100.00 
 100.11 
 
 Jacobson 
 
 Theory 
 CVIII 
 
 58.13 
 60.14 
 
 24.71 
 25.39 
 
 0.87 
 
 z 
 
 7.35 
 7.93 
 
 0.40 
 0.53 
 
 1.90 
 1.66 
 
 7.51 
 
 7.99 
 
 
 
 100.00 
 104.51 
 
 Varrentrapp 
 
 Theory 
 III 
 
 58.61 
 58.41 
 
 24.92 
 25.23 
 
 
 
 
 
 6.83 
 6.54 
 
 0.81 
 0.41 
 
 
 
 8.83 
 9.39 
 
 
 
 100.00 
 99.98 
 
428 
 
 ALLOPHANES AND CLAYS 
 
 A. Formulae from a Series of Analyses of Allophanes. 
 
 I 
 
 0.5 CaO 
 
 6 A1 2 3 
 
 6 Si0 2 32 H 2 
 
 II. 
 
 0.5 CaO 
 
 6 A1 2 O 3 
 
 6 Si0 2 
 
 38 H 2 O 
 
 Calcd. 
 Found 
 
 1.77 
 
 1.92 
 
 38.77 
 37.73 
 
 22.96 
 23.53 
 
 36.50 
 
 36.86 
 
 
 Calcd. 
 Found 
 
 1.66 
 1.96 
 
 36.29 
 35.20 
 
 21.48 
 21.39 
 
 40.57 
 40.86 
 
 III. 
 
 0.75 CaO 
 
 6 A1 2 3 
 
 6 SiO 2 32 H 2 O 
 
 IV. 
 
 .25 CaO 
 
 6 A1 2 3 
 
 5 Si0 2 
 
 32H,0 
 
 Calcd. 
 Found 
 
 2.63 
 2.83 
 
 38.44 
 38.76 
 
 22.75 
 22.65 
 
 36.17 
 35.14 
 
 
 Calcd. 
 Found 
 
 0.93 
 0.70 
 
 40.69 
 41.00 
 
 20.07 
 19.80 
 
 -^^-2 ^ 
 
 38.30 
 37.70 
 
 V. 0.75 CaO 6 Al 
 
 2 3 
 
 6Si0 2 
 
 42H 2 
 
 
 
 
 Calcd. 
 
 2.37 34. 
 
 53 
 
 20.45 
 
 42.65 
 
 
 
 
 Found 
 
 2.23 31 
 
 .34 
 
 20.50 
 
 42.91 
 
 
 
 
 B. Formulae from Clay Analyses in C. Bischof s Book. 
 
 (a) Si E Si. 
 
 K,0 
 
 MgO 
 
 CaO | Fe 2 3 
 
 Al,o, 
 
 Si0 2 
 
 H 2 o 
 
 Na 2 o| Total 
 
 K 2 o 
 
 K a 3 
 
 SiOj 
 
 H 2 o 
 
 5.37 
 5.65 
 4.90 
 4.69 
 
 Page | source 
 
 2.87 
 0.27 
 3.15 
 1.45 
 
 0.28 
 0.54 
 0.52 
 0.54 
 
 0.23 
 0.13 
 0.10 
 0.51 
 
 0.44 
 3.06 
 1.12 
 
 0.83 
 
 26.73 
 24.52 
 26.27 
 26.93 
 
 61.46 
 62.73 
 61.35 
 62.66 
 
 8.26 
 
 8.88 
 7.53 
 
 7.38 
 
 
 
 100.27 
 100.13 
 100.04 
 100.30 
 
 0.48 
 0.21 
 0.56 
 0.43 
 
 3.10 
 2.98 
 3.10 
 3.09 
 
 12.00 
 12.00 
 12.00 
 12.00 
 
 78 
 66 
 68 
 68 
 
 Mahren, Briesen 
 Goppersdorf, Silesian Prussia 
 Tschirne, Silesian Prussia 
 
 
 (b) Si - R - Si. 
 
 K,o|MgO 
 
 CaO 
 
 Fe 2 a 
 
 A1 2 3 | Si0 2 
 
 H 2 
 
 Na 8 O 
 
 Total 
 
 E 2 o 
 
 E 2 3 
 
 Si0 2 
 
 H 2 
 
 Page 
 
 Source 
 
 2.11 
 2.11 
 1.24 
 2.99 
 1.26 
 0.88 
 1.26 
 0.75 
 0.73 
 0.54 
 0.60 
 
 Trace 
 0.47 
 0.55 
 0.37 
 0.28 
 0.33 
 0.24 
 0.34 
 0.15 
 Trace 
 0.13 
 
 0.15 
 0.40 
 0.61 
 0.26 
 0.34 
 0.36 
 0.13 
 0.28 
 0.46 
 0.07 
 0.12 
 
 3.42 
 1.86 
 2.03 
 1.35 
 1.71 
 1.04 
 0.97 
 1.17 
 0.89 
 1.16 
 0.76 
 
 26.94 
 28.55 
 27.98 
 28.31 
 28.31 
 29.26 
 28.88 
 29.15 
 29.57 
 28.68 
 29.99 
 
 58.02 
 58.35 
 56.59 
 59.01 
 59.78 
 57.97 
 58.63 
 58.26 
 57.71 
 59.58 
 58.04 
 
 9.39 
 8.59 
 9.92 
 7.93 
 8.27 
 9.98 
 10.50 
 10.00 
 10.68 
 9.87 
 10.59 
 
 1.08 C. 
 
 0.052 
 0.09 S. 
 
 0.08 S. 
 
 100.03 
 100.33 
 100.15 
 100.22 
 100.02 
 99.91 
 100.01 
 100.05 
 100.19 
 99.90 
 100.31 
 
 0.26 
 0.42 
 0.39 
 0.46 
 0.26 
 0.25 
 0.22 
 0.22 
 0.21 
 0.07 
 0.12 
 
 2.95 
 2.99 
 3.03 
 2.91 
 2.89 
 3.03 
 2.90 
 3.02 
 3.06 
 2.91 
 3.08 
 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 10.00 
 
 5.39 
 4.91 
 5.83 
 4.48 
 4.61 
 5.74 
 5.97 
 5.77 
 6.17 
 5.52 
 6.08 
 
 71 
 87 
 86 
 53 
 83 
 86 
 71 
 71 
 75 
 71 
 71 
 
 Lothain b. MeiCen, Saxony. 
 Serge jewka, Russia. 
 Borowitschi, Russia. 
 Neitzert i. Bendorf, Prussia. 
 Sonkolyo, Hungary. 
 Borowitschi, Russia. 
 L6thain b. MeiBen, Saxony. 
 
 Michelob, Bohemia. 
 LOthain b. Meifien, Saxony. 
 
 (c) R 
 
 Si 
 
 K.O 
 
 MgO 
 
 CaO 
 
 Fe 2 3 
 
 A1 2 3 
 
 Si0 2 
 
 H 2 
 
 Na 2 O 
 
 Total 
 
 E 2 
 
 R 2 3 | SiO z 
 
 H 2 
 
 Page 1 Source 
 
 1.02) 
 
 
 
 1.77|18.93)72.05)6.13J 0.10 S.|lOO.OO|o.l4|2.98|l8.00J5.12| 59 1 GroBalmerode, Prussia. 
 
 (d) 
 
 M 
 
 
 K,O 
 
 Mgo|cao|Fe 2 O a 
 
 A1 2 3 | Si0 8 
 
 H 2 o 
 
 Na 2 | Total 
 
 R 2 
 
 K 2 8 
 
 SiO 2 
 
 H a o 
 
 Page 
 
 Source 
 
 0.55 
 2.19 
 
 0.33 
 0.16 
 
 0.18 
 0.24 
 
 0.63 
 1.67 
 
 23.65 
 
 23.08 
 
 65.69 
 65.35 
 
 9.11 
 7.46 
 
 0.09 S. 
 
 100.23 
 100.15 
 
 0.23 
 0.43 
 
 3.22 
 3.25 
 
 15.00 
 15.00 
 
 6.93 
 5.70 
 
 71 
 67 
 
 LSthain b. MeiSen, Saxony. 
 Ober-Horka, Prussia. 
 
 0.85 
 0.80 
 
 0.08 
 0.09 
 
 0.0V 
 0.43 
 
 1.40 
 0.71 
 
 23.02 
 23.61 
 
 67.48 
 66.58 
 
 7.34 
 7.90 
 
 ~*~' 
 
 100.24 
 100.12 
 
 0.16 
 0.25 
 
 3.12 
 3.18 
 
 15.00 
 15.00 
 
 5.44 
 5.93J 
 
 50 
 
 77 
 
 Dillenburg, Prussia. 
 Blansko, Mahren. 
 
CLAYS 
 
 (e) Si R - R Si. 
 
 429 
 
 K 2 
 
 MgO 
 
 CaO |Fe 2 
 
 A1 2 0, | SiO, 
 
 H,0 |Na 2 
 
 Total 
 
 RaO |R 2 O 8 
 
 Si0 2 
 
 H 2 O 
 
 Page 
 
 Source 
 
 0.57 
 1.32 
 3.00 
 2.00 
 0.51 
 
 38.46 
 0.07 
 0.11 
 0.18 
 0.21 
 
 0.02 
 0.06 
 0.04 
 0.12 
 0.32 
 
 0.29 
 2.74 
 0.95 
 1.65 
 0.41 
 
 24.51 
 37.09 
 37.95 
 38.17 
 37.73 
 
 28.12 
 47.22 
 46.97 
 44.90 
 46.21 
 
 6.38 
 10.79 
 10.02 
 12.85 
 14.22 
 
 1.87 
 0.39 
 
 100.22 
 100.19 
 99.04 
 99.93 
 100.02 
 
 24.62 
 0.26 
 0.54 
 0.63 
 0.35 
 
 6.19 
 5.81 
 5.79 
 6.16 
 5.81 
 
 12.00 
 12.00 
 12.00 
 12.00 
 12.00 
 
 9.08 
 6.09 
 8.53 
 11.45 
 12.31 
 
 57 
 74 
 52 
 74 
 57 
 
 Westerland, Prussia. 
 Eger, Austria. 
 Ebernhalm, Prussia. 
 Eger, Austria. 
 Westerland, Prussia. 
 
 (f) Si R R Si. 
 
 K 2 
 
 MgO 
 
 CaO 
 
 Fe 2 0, 
 
 A1 2 0, 
 
 SiO, 
 
 H 2 o 
 
 Na,0 
 
 Total 
 
 E a o |R,O,| sio, 
 
 H 2 
 
 Page 
 
 Source 
 
 4.28 0.950.62 
 
 1.2432.72 
 
 48.92 
 
 11.49 
 
 
 100.23 
 
 1.18 
 
 4.83 
 
 12.00 
 
 9.39 
 
 78 
 
 Briesen, Mahren. 
 
 1.64 
 
 15.790.13 
 
 0.33 29.64 
 
 42.53 
 
 7.52 
 
 2.61 
 
 100.91 
 
 7.72 
 
 4.92 
 
 12.00 
 
 7.07 
 
 57 
 
 Westerland, Prussia. 
 
 2.73 
 
 0.490.32 
 
 2.9433.63 
 
 49.43 
 
 10.59 
 
 
 
 100.13 
 
 0.83 
 
 5.09 
 
 12.00 
 
 8.54 
 
 44 
 
 G runstadt, Bavaria . 
 
 3.211 0.410.48 
 
 1.79 ! 33.09 
 
 50.72 
 
 10.49 
 
 
 
 100.19 
 
 0.75 
 
 4.77 
 
 12.00 
 
 8.27 
 
 44 
 
 
 2.30 
 
 0.790.56 
 
 2.2224.76 
 
 49.60 
 
 9.96 
 
 
 
 100.19 
 
 0.78 
 
 4.91 
 
 12.00 
 
 8.03 
 
 44 
 
 99 99 
 
 2.65 
 
 0.690.34 
 
 1.7333.57 
 
 50.39 
 
 10.85 
 
 
 
 100.22 
 
 0.73 
 
 4.86 
 
 12.00 
 
 8.61 
 
 44 
 
 
 3.86 
 3.14 
 
 0.630.43 1.27 
 0.67 0.40! 2.24 
 
 35.39 
 33.91 
 
 49.76 
 48.92 
 
 8.83 
 10.92 
 
 
 
 100.17 
 100.10 
 
 0.93 
 0.84 
 
 5.12 
 5.09 
 
 12.00 
 12.00 
 
 7.09 
 8.84 
 
 54 
 
 44 
 
 H6hr b.Grenzhausen.Prus. 
 Grunstadt, Bavaria. 
 
 3.38 
 
 0.550.331 2.07 
 
 34.61 
 
 48.85 
 
 10.18 
 
 
 
 99.97 
 
 0.82 
 
 5.19 
 
 12.00 
 
 8.33 
 
 44 
 
 99 99 
 
 2.73 
 
 0.450.34 
 
 2.00 
 
 33.76 
 
 50.12 
 
 10.63 
 
 
 
 100.03 
 
 0.67 
 
 4.94 
 
 12.00 
 
 8.48 
 
 44 
 
 99 99 
 
 1.51 
 
 0.730.76 
 
 1.66 
 
 34.95 
 
 49.48 
 
 11.04 
 
 0.26 S. 
 
 100.39 
 
 0.69 
 
 5.13 
 
 12.00 
 
 8.92 
 
 58 
 
 Grofialmerode, Prussia. 
 
 1.81 
 
 0.440.48 
 
 1.90 
 
 34.09 
 
 49.49 
 
 11.63 
 
 0.036S. 
 
 99.87 
 
 0.56 
 
 5.03 
 
 12.00 
 
 9.40 
 
 46 
 
 Gem.Mechenhart,Bavaria. 
 
 1.5914.560.02 
 
 0.08 
 
 30.33 
 
 41.14 
 
 10.02 
 
 2.10 
 
 99.84 
 
 7.20 
 
 5.17 
 
 12.00 
 
 9.63 
 
 57 
 
 Westerland,Prussia. 
 
 2.66 
 
 0.21 0.40 
 
 2.00 
 
 33.71 
 
 49.86 
 
 11.13 
 
 
 
 99.97 
 
 0.58 
 
 4.95 
 
 12.00 
 
 8.92 
 
 44 
 
 GrunstadtjBavaria. 
 
 3.79 
 
 0.15:0.23 
 
 1.1633.71 
 
 47.76 
 
 13.26 
 
 
 
 100.06 
 
 0.72 
 
 5.09 
 
 12.00 
 
 11.10 
 
 80 
 
 Briesen, Mahren . 
 
 1.33 
 
 0.76 0.51! 1.84 35.60 
 
 49.66 
 
 10.04 
 
 
 
 99.74 
 
 0.67 
 
 5.23 
 
 12.00 
 
 8.09 
 
 44 
 
 Grunstadt, Bavaria, 
 
 2.78 0.180.33 
 
 1.06 
 
 34.41 
 
 50.03 
 
 11.46 
 
 
 
 100.25 
 
 0.57 
 
 4.95 
 
 12.00 
 
 9.16 
 
 76 
 
 Wildstein, Bohemia. 
 
 1.30 0.280.05 
 
 1.8933.64 
 
 48.23 
 
 14.63 
 
 0.15 S. 
 
 100.78 
 
 0.32 
 
 5.10 
 
 12.00 
 
 12.13 
 
 83 
 
 Gflttweig, South Austria. 
 
 1.41 0.230.34 
 
 1.0034.89 
 
 51.17 
 
 10.85 
 
 
 
 99.89 
 
 0.38 
 
 5.02 
 
 12.00 
 
 8.48 
 
 77 
 
 Blansko, Mahren. 
 
 1.04 0.290.21 
 
 0.60,35.71 
 
 50.00 
 
 11.98 
 
 
 99.94 
 
 0.31 
 
 5.08 
 
 12.00 
 
 9.56 
 
 77 
 
 > > 
 
 (g) Si R Si R Si. 
 
 K 2 
 
 MgO 
 
 CaO |Fe 2 0, 
 
 A1 2 S 
 
 SiO, 
 
 H,0 
 
 Na,0 
 
 Total 
 
 B,o 
 
 R,0 
 
 SiO, 
 
 H,0 
 
 Page 
 
 Source 
 
 2.41 
 0.38 
 
 0.68'0.42| 1.00J30.11 
 0.250.15|0.70|31.71 
 
 56.04 
 55.47 
 
 9.441 
 11.40| 
 
 100.10 
 100.06 
 
 0.96 
 0.25 
 
 5.81 
 6.13 
 
 18.00 
 18.00 
 
 10.10 
 12.33 
 
 68 
 
 72 
 
 Tschirne, Prussia. 
 LOthain b. MeiBen, Saxony. 
 
 (h) Si R Si R Si. 
 
 K,O | MgOJ CaO Fe,0,| A1,O S 
 
 SiO, | H 2 O 
 
 Na,o 
 
 Total |R,O|R,O, 
 
 SiO, 
 
 H,O 
 
 Page 
 
 Source 
 
 1.67:0.57,0.43 
 3.01 0.39 0.42 
 &600.311.31 
 2.920.28i0.31 
 1.370.450.49 
 1.37'0.450.49 
 0.6l|0.230.13 
 
 1.78 
 2.00 
 1.20 
 1.23 
 1.50 
 1.50 
 0.65 
 
 31.58 
 32.54 
 30.65 
 33.56 
 33.11 
 34.08 
 33.61 
 
 53.1410.69 
 50.9110.42 
 50.4015.65 
 51.961 9.62 
 54.66; 8.73 
 53.09 8.71 
 52.11112.80 
 
 0.04 
 0.10 
 
 0.11 S 
 
 99.98J0.71 
 99.790.87 
 100.120.71 
 99.84|1.41 
 99.69,0.61 
 100.00 ! 0.62 
 100.14J0.24 
 
 5.79 
 6.25 
 5.87 
 6.22 
 5.93 
 6.20 
 6.14 
 
 16.00 
 16.00 
 16.00 
 16.00 
 16.00 
 16.00 
 16.00 
 
 10.73 
 10.94 
 16.56 
 9.87 
 8.61 
 8.75 
 13.10 
 
 46 
 54 
 87 
 76 
 46 
 61 
 71 
 
 Gem.Mechenhart,Bavaria. 
 H6hr b.Grenzhausen,Prus. 
 Novgorod, Russia. 
 Wildstein, Bohemia. 
 Klingenberg a.M. Bavaria. 
 Ahrtal, Prussia. 
 Lothain b.MeiBen,Saxony. 
 
 (i) Si R - Si R Si. 
 
 !K 2 
 
 MgO CaO |Fe,0,| A1 2 0, 
 
 SiO, 
 
 H,o| Na,0 
 
 Total |R,O, 
 
 B,0, 
 
 SiO, 
 
 H 2 
 
 Page 
 
 Source 
 
 1.40 
 
 1.99 
 
 0.34J0.10| 0.72|27.40|60.158.00 
 030i0.2l| 0.79128.30 60.2118.59 
 
 0.21 FeO 
 
 98.320.45 
 100.39|0.57 
 
 4.9lH8.00|7.97 84 
 5.06|l8.00|8.59| 49 
 
 Namur, Belgium. 
 Odenwald,Hessen-Dannstadt. 
 
430 
 
 CLAYS 
 
 C. Formulae from Clay Analyses in C. Bischofs Book. 
 
 I 0.5 CaO 2.75A1 2 O 3 0.25Fe 2 O 3 15SiO 2 5.5 H 2 O 
 
 Calcd. 2.06 20.72 2.95 66.95 7.32 /Source : Tiegelerdberg (Bavaria). 
 
 Found. 2.25 20.97 2.25 66.70 7.53 \Analyst : H. Kaul, 1. c. p. 47. 
 
 II. 0.25 K 2 O 19.75 H 2 O 0.25Fe 2 O 3 9.75A1 2 O 3 24 SiO 2 ( Source : Winkelhaid (Bavaria). 
 Calcd. 0.82 12.42 1.40 34.73 50.62 \ Analyst : H. Kaul, 1. c. p. 47. 
 
 Found. 0.95 12.11 1.38 35.72 49.80 0.15 CaO 0.18 Na 2 O 0.09 S 
 
 III. 0.25 MgO 0.25 K 2 0.25Fe 2 O 3 5.75 A1 2 O 3 16SiO 2 1 5. 5 H 2 O/ Source: Wolf shohe (Bavaria) 
 Calcd. 0.52 1.23 2.09 ' 30.77 50.73 14.64 \Analyst : H. Kaul, 1. c. p. 47. 
 
 Found. 0.59 1.09 1.56 31.26 49.61 14.43 0.26 CaO 0.29 Na 2 O 
 
 IV. O.SCaO 15.5H 2 O 0.25Fe 2 O 3 5.75A1 2 O 3 16SiO 2 /Source : Passau (South Bavaria). 
 
 Calcd. 1.47 14.68 2.10 ' 30.86 50.88 \Kerl, Handb. d. ges. Tonw. 1879, 505, I.e. 48. 
 
 Found. 1.63 14.23 1.05 31.11 51.02 0.80 H 2 O 
 
 VI. 
 
 Calcd. 
 Found. 
 
 0.25 Fe 2 O 3 5.75 A1 2 O 3 16 SiO 2 /Source : Stabbarp (Sweden). 
 2.51 ' 36.81 * 60.68 \Analyst : Cronquist, Stockholm (I. c. p. 41). 
 1.70 36.10 60.80 0-5 CaO 0.5 K 2 O 0.2 MgO 
 
 VIII. 
 Calcd. 
 Found. 
 
 0.5 K 2 
 
 2.80 
 3.17 
 
 8.5 H 2 O 5 A1 2 O 3 16 SiO 2 /Source : Finsing b. Deggendorf. 
 9.12 30.41 57.66 \Analyst : C. Bischof, 1. c. p. 43. 
 8.67 29.47 57.45 0.75Fe 2 O 3 0.76 (MgO + CaO) 
 
 IX. 
 
 Calcd. 
 Found. 
 
 0.25 Fe 2 O 
 2.28 
 1.79 
 
 3 5.75 A1 2 O 3 15 SiO 2 0.5 K 2 O 9.5 H 2 O /Source : Grunstadt (Rheinpfalz). 
 33.50 51.77 2.68 9.77 \ Analyst : C. Bischof . 
 33.09 50.70 3.21 10.49 0.41 MgO 0.18 CaO 
 
 X. 
 
 Calcd. 
 Found. 
 
 6A1 2 3 
 45.78 
 45.07 
 
 12 SiO 2 /Source : Altwasser, Grube Morgen- und Abendstern. 
 54.22 \Analyst : C. Bischof (L c. p. 36). 
 54.03 0.15 MgO 0.25Fe 2 O 3 0.54 K 2 O 
 
 XI. 0.25K 2 O 0.25CaO 0.25Fe 2 O 3 5.75A1 2 O 3 16 SiO 2 
 
 Calcd. 1.44 0.86 2.45 35.96 59.29/Source : Passau (Bavaria). 
 
 Found. 0.90 1.20 1.90 36.40 59.60\Analyst : Cronquist, Stockholm, Z.c. p. 48. 
 
 XII. 0.25 K 2 O 9.75 H 2 O 0.5Fe 2 O 3 5.5A1 2 O 3 16SiO 2 /Source : Schwarzwald (Oberpfalz). 
 Calcd. 1.30 9.71 4.42 31.05 53.51 \Analyst : C. Bischof (I. c. p. 48). 
 
 Found. 1.33 10.50 3.41 30.69 53.10 0.32 MgO 0.26 CaO 
 
 XIII. 12 H 2 O 
 Calcd. 11.19 
 Found. 11.14 
 
 5.75 A1 2 O 3 
 30.39 
 30.47 
 
 0.25Fe 2 O 3 
 2.07 
 1.51 
 
 XIV. 0.5Fe 2 3 
 Calcd. 4.38 
 Found. 3.54 
 
 5.5 A1 2 3 
 30.76 
 31.61 
 
 16 SiO 2 : 
 53.01 
 52.32 
 
 XV. 0.5 Fe 2 O 3 
 Calcd. 5.54 
 Found. 4.22 
 
 4.5 A1,O 3 
 31.79 
 32.00 
 
 12 Si0 2 
 50.20 
 51.05 
 
 18 SiO 2 /Source : Klingenberg a. M. 
 56.34 \Analyst : unknown (L c. p. 46). 
 56.44 0.30 MgO 0.79 CaO 0.30 K 2 O 
 
 1 2 H 2 O/ Source : Klingenberg a. M. 
 11.81 \Analyst : Vohl, 1875. 
 11.81 0.48 CaO 
 
 10 H 2 O/ Source : Klingenberg a. M. 
 12.47 \ 
 12.14 0.46 CaO 
 
 XVI. 0.25 MgO 0.25 CaO 0.25 K 2 O 9.25 H 2 O 0.25Fe 2 O 3 5.75A1 2 O 3 16SiO 2 
 
 Calcd. 0.55 0.77 1.30 9.21 2.21 32.45 53.50 
 
 Found. 0.50 0.50 1.37 9.12 1.50 33.11 54.06 
 Source : Klingenberg. Analyst : C. Bischof, 1887. 
 
ULTRAMARINES 
 
 431 
 
 D. Behaviour of Clays, dried at 100 C., towards Sulphuric Acid, according 
 
 to C. Bischof. 
 
 Number 
 
 HjO 
 
 K a o 
 
 MgO 
 
 FeO 
 
 % 
 CaO 
 
 A1 2 0, 
 
 Fe 2 3 
 
 SiO a 
 
 Total 
 
 Mo 
 H 2 
 
 leculai 
 K,0 
 
 Eatio 
 E,0s 
 
 s 
 Si0 8 
 
 Separated 
 SiO in 
 % | Mol. 
 
 Al,0,: 
 SiOi in 
 Solution 
 
 1 
 2 
 3 
 4 
 5 
 6 
 7 
 
 9.40 
 8.41 
 7.44 
 10.03 
 7.27 
 8.14 
 15.13 
 
 1.15 
 2.09 
 2.31 
 3.22 
 1.21 
 1.42 
 1.61 
 
 0.20 
 0.28 
 0.25 
 0.45 
 0.64 
 0.34 
 0.85 
 
 0.44 
 0.40 
 0.21 
 
 0.04 
 0.56 
 0.06 
 0.28 
 0.08 
 0.10 
 0.42 
 
 29.96 
 30.34 
 25.73 
 
 27.99 
 22.30 
 27.87 
 36.32 
 
 0.45 
 0.67 
 0.60 
 0.44 
 0.50 
 0.73 
 1.00 
 
 58.80 
 57.65 
 63.61 
 56.98 
 67.60 
 61.19 
 44.67 
 
 100 
 100 
 100 
 100 
 100 
 100 
 100 
 
 9.11 
 7.83 
 4.70 
 10.04 
 5.41 
 8.03 
 11.60 
 
 0.31 
 0.65 
 0.36 
 1.01 
 0.46 
 0.49 
 0.75 
 
 5.17 
 5.05 
 2.91 
 5.00 
 2.97 
 4.93 
 5.94 
 
 17 
 16 
 12 
 17 
 15 
 18 
 12 
 
 25.66 
 21.35 
 36.68 
 21.28 
 41.87 
 26.91 
 4.67 
 
 7.42 
 5.8 
 6.91 
 6.34 
 9.29 
 7.91 
 1.26 
 
 5: 10 
 5: 10 
 6: 10 
 5: 11 
 6: 10 
 5: 10 
 6: 11 
 
 Ultramarines. 
 
 Formulae from a series of Ultramarine Analyses. 
 
 1. 
 
 Theory. 
 Found. 
 
 Si 
 16.60 
 16.45 
 
 Si w 
 
 A1 12 
 16.01 
 14.36 
 
 A1 12 
 
 Na 12 
 13.64 
 14.45 
 
 Na 13 . 5 
 
 S 4 
 6.32 
 6.00 
 
 K -5 
 
 60 
 47.43 
 
 48.74 
 
 S 4 
 
 5? 
 
 
 
 Total 
 100.00 
 100.00 
 
 Rickmann, Dingl. Journ. 
 
 232, 
 164. 
 
 2. 
 
 Theory. 
 
 16.55 
 
 15.96 
 
 15.30 
 
 0.96 
 
 6.31 
 
 44.92 
 
 
 
 100.00 
 
 
 
 
 Found. 
 
 16.87 
 
 15.39 
 
 15.66 
 
 0.72 
 
 5.69 
 
 45.67 
 
 
 
 100.00 
 
 Philipp, Ann. d. Chem. 
 
 184, 
 
 
 99 
 
 16.81 
 
 15.27 
 
 15.21 
 
 1.08 
 
 6.42 
 
 45.21 
 
 
 
 100.00 
 
 
 132. 
 
 
 
 Si 12 
 
 A1 M 
 
 Agie 
 
 Na 2 
 
 S 4 
 
 59 
 
 (H 2 0) 4 
 
 
 
 
 3. 
 
 Theory. 
 
 9.39 
 
 9.06 
 
 48.28 
 
 1.29 
 
 3.58 
 
 26.39 
 
 2.01 
 
 100.00 
 
 
 
 
 Found. 
 
 9.78 
 
 9.40 
 
 48.82 
 
 1.07 
 
 3.96 
 
 26.07 
 
 1.90 
 
 100.00 
 
 J. Szilasi, Ann. d. Chem. 
 
 251, 
 
 
 M 
 
 8.63 
 
 9.42 
 
 48.79 
 
 1.03 
 
 4.03 
 
 26.29 
 
 1.81 
 
 100.00 
 
 97-114. 
 
 
 
 Si 12 
 
 A1 12 
 
 Pb 8 
 
 Na 2 
 
 S 4 
 
 59 
 
 (H 2 0) 8 
 
 
 
 
 4. 
 
 Theory. 
 
 9.41 
 
 9.08 
 
 46.16 
 
 1.29 
 
 3.59 
 
 26.44 
 
 4.03 
 
 100.00 
 
 
 
 
 Found. 
 
 9.58 
 
 8.21 
 
 46.02 
 
 0.93 
 
 4.06 
 
 27.27 
 
 3.93 
 
 100.00 
 
 J. Szilasi, Ann. d. Chem. 
 
 251, 
 
 
 
 
 9.51 
 
 8.16 
 
 46.23 
 
 1.06 
 
 3.94 
 
 27.11 
 
 3.99 
 
 100.00 
 
 97-114. 
 
 
 
 Si 
 
 A1 12 
 
 Zn 8 
 
 Na 2 
 
 S 4 
 
 59 
 
 (H 2 0) 16 
 
 
 
 
 5. 
 
 Theory. 
 
 12.99 
 
 12.53 
 
 20.11 
 
 1.77 
 
 4.95 
 
 36.51 
 
 11.14 
 
 100.00 
 
 
 
 
 Found. 
 
 14.14 
 
 11.80 
 
 19.78 
 
 
 
 5.86 
 
 37.52 
 
 10.90 
 
 100.00 
 
 J. Szilasi, Ann. d. Chem. 
 
 251* 
 
 
 ,, 
 
 14.17 
 
 11.86 
 
 19.98 
 
 0.72 
 
 5.66 
 
 36.51 
 
 11.10 
 
 100.00 
 
 97-114. 
 
 Si 12 AI 12 Agi, N &1 S 5 O 56 K 
 
 6. Theory. 10.69 10.31 44.67 0.73 5.09 28.51 
 
 Found. 10.76 9.90 43.69 0.81 4.89 29.60 0.35 
 
 10.54 44.08 0.73 0.50 
 
 Si 12 
 
 7. Theory. 9.96 
 Found. 10.09 
 10.09 
 
 ',', 10.24 
 
 8. Theory. 
 Found. 
 
 16.86 
 16.80 
 16.84 
 
 A1 12 
 9.60 
 9.00 
 9.11 
 9.21 
 9.23 
 
 A1 M 
 16.27 
 16.32 
 16.30 
 
 Ag 15 
 47.99 
 48.08 
 47.89 
 47.96 
 48.66 
 
 Na 12 
 13.85 
 13.94 
 13.98 
 
 , 
 
 0.68 
 1.15 
 1.17 
 
 0.89 
 4.81 
 
 4.73 
 
 4.68 
 4.82 
 
 5 , 
 27.04 
 27.00 
 26.92 
 
 9.64 43.33 
 9.70 43.24 
 9.80 43.08 
 
 100.00 
 
 100.00 J. Philipp Ber. d. D. chem. 
 
 100.00 Ges. 10, 1227. 
 
 100.00) 
 
 100.00 IK. Heumann, Ann. d. Chem. 
 
 100.00 | 199, 271. 
 
 K. Heumann, Ann. d. Chem. 
 203, 174. 
 
 100.00 
 
 100.00 G. Guckelberger, Dingl. Journ. 
 
 100.00 247, 343, 1883. 
 
432 
 
 ULTRAMARINES 
 
 
 
 Si 12 
 
 A1 12 
 
 Na 16 
 
 S 4 
 
 S2 
 
 (H 2 0) 2 
 
 Total 
 
 9. 
 
 Theory. 
 
 16.60 
 
 16.01 
 
 18.18 
 
 6.32 
 
 41.11 
 
 1.78 
 
 100.00 \ 
 
 
 Found. 
 
 16.70 
 
 15.97 
 
 18.48 
 
 7.14 
 
 39.52 
 
 2.19 
 
 100.00 
 
 
 Jr 
 
 16.76 
 
 15.82 
 
 18.23 
 
 7.20 
 
 39.78 
 
 2.21 
 
 100.00 
 
 
 tp 
 
 16.73 
 
 15.94 
 
 18.55 
 
 7.22 
 
 
 
 
 
 
 
 
 
 
 17.14 
 17.21 
 
 15.87 
 
 18.24 
 18.12 
 
 6.92 
 7.02 
 
 40.55 
 
 1.18 
 1.23 
 
 100~00 J * Szilasi Ann ' d< Chem - 2 5 X > 97-114. 
 
 
 , t 
 
 16.75 
 
 16.15 
 
 18.08 
 
 6.75 
 
 41.05 
 
 1.22 
 
 ioo!oo 
 
 
 n 
 
 16.73 
 
 
 
 18.12 
 
 6.95 
 
 
 
 1.16 
 
 
 
 
 fi 
 
 16.39 
 
 15.08 
 
 18.24 
 
 6.60 
 
 42.16 
 
 1.53 
 
 100.00 
 
 
 " 
 
 16.45 
 
 15.44 
 
 18.40 
 
 6.80 
 
 41.40 
 
 1.51 
 
 100. 00 ' 
 
 
 
 Si 12 
 
 Alt, 
 
 Na 14 
 
 K 
 
 8, 
 
 50 
 
 
 10 
 
 Theory. 
 
 17.30 
 
 16.68 
 
 16.59 
 
 
 
 8.24 
 
 41.19 
 
 100.00 
 
 
 Found. 
 
 17.32 
 
 15.94 
 
 16.64 
 
 0.75 
 
 7.91 
 
 41.44 
 
 100.001 
 
 
 
 17.51 
 
 15.84 
 
 ^ 
 
 j 
 
 7.91 
 
 40.66 
 
 hPhilipp, Ann. d. Chem. J<*4,132, 1876. 
 100.00J 
 
 17. 
 
 08 
 
 
 t 
 
 18.00 
 
 16.11 
 
 17.05 
 
 
 
 8.04 
 
 40.80 
 
 100.00 
 
 
 t 
 
 18.24 
 
 16.33 
 
 
 
 
 
 8.36 
 
 40.68 
 
 
 
 
 , 
 
 18.06 
 
 15.78 
 
 17.30 
 
 
 
 8.18 
 
 40.68 
 
 100.00 1 Hoffmann's Analyses, according to 
 
 
 t 
 
 18.11 
 
 16.01 
 
 17.16 
 
 
 
 8.05 
 
 40.67 
 
 100.00 [K. Heumann, Ann. d. Chem. 203, 174, 
 
 
 
 18.33 
 
 16.25 
 
 17.14 
 
 
 
 8.42 
 
 39.86 
 
 100.00 1880. 
 
 
 
 18.20 
 
 16.10 
 
 17.30 
 
 
 
 8.40 
 
 40.00 
 
 100.00, 
 
 
 , 
 
 17.69 
 
 16.13 
 
 17.07 
 
 
 
 8.02 
 
 41.09 
 
 100.00) According to K. Heumann, Ann. d. 
 
 
 . 
 
 17.88 
 
 16.47 
 
 16.61 
 
 
 
 7.67 
 
 41.37 
 
 100.00 / Chem. 203, 174, 1880. 
 
 
 
 
 17.77 
 
 16.10 
 
 17.06 
 
 
 
 8.02 
 
 41.05 
 
 100.00 K. Heumann, Ann. d. Chem. 199, 263. 
 
 
 
 Si 12 
 
 A1 12 
 
 Na 12 
 
 s. 
 
 o 
 
 
 
 11 
 
 Theory. 
 
 18.34 
 
 17.69 
 
 15.07 
 
 6.98 
 
 41.92 
 
 
 
 100.00 
 
 
 Found. 
 
 18.47 
 
 16.88 
 
 15.43 
 
 6.17 
 
 43.05 
 
 
 
 100.00 Rickmann, Dingl. Journl. 232, 164. 
 
 
 
 Si 12 
 
 Al ]2 
 
 Na u 
 
 s 4 
 
 o 
 
 
 
 J2 
 
 Theory. 
 
 17.89 
 
 17.25 
 
 17.14 
 
 6.8*3 
 
 40."9 
 
 
 
 100.00 
 
 
 Found. 
 
 18.00 
 
 17.32 
 
 16.20 
 
 6.62 
 
 41.86 
 
 
 
 100.00, 
 
 
 w 
 
 18.28 
 
 17.15 
 
 16.40 
 
 6.78 
 
 41.39 
 
 
 
 100.00 
 
 
 tt 
 
 18.30 
 
 17.38 
 
 16.10 
 
 6.59 
 
 41.63 
 
 
 
 100.00 G. Guckelberger, Dingl. Journ. 247, 
 
 
 t 
 
 17.98 
 
 17.30 
 
 16.52 
 
 6.88 
 
 41.32 
 
 
 
 100.00 f 343,1883. 
 
 
 f 
 
 18.08 
 
 17.35 
 
 16.46 
 
 6.69 
 
 41.42 
 
 
 
 100.00 
 
 
 5j 
 
 17.89 
 
 17.43 
 
 16.38 
 
 6.89 
 
 41.41 
 
 
 
 100.00J 
 
 
 M 
 
 18.41 
 
 17.00 
 
 16.40 
 
 6.81 
 
 41.38 
 
 
 
 100.00 
 
 
 
 
 18.21 
 
 17.63 
 
 1680 
 
 7.01 
 
 40.35 
 
 
 
 100.00 
 
 
 
 18.08 
 
 17.32 
 
 17.01 
 
 6.89 
 
 40.70 
 
 
 
 100.00 
 
 
 ff 
 
 18.00 
 
 17.68 
 
 16.92 
 
 7.05 
 
 40.35 
 
 
 
 100.00 VG. Guckelberger Dingl. Journ. 247, 
 
 
 11 
 
 18.90 
 
 17.82 
 
 16.21 
 
 6.40 
 
 40.67 
 
 
 
 100.00 386, 1883. 
 
 
 i 
 
 18.34 
 
 17.60 
 
 16.78 
 
 6.79 
 
 40.49 
 
 
 
 100.00 
 
 
 f 
 
 18.61 
 
 17.12 
 
 16.38 
 
 6.75 
 
 41.14 
 
 
 
 100.00 ) 
 
 
 i 
 
 17.86 
 18.09 
 
 17.56 
 17.28 
 
 16.60 
 17.00 
 
 6.79 
 6.90 
 
 41.19 
 40.73 
 
 
 
 100.00 
 100.00 VG. Guckelberger, Dingl. Journ. 247, 
 
 
 i 
 
 17.29 
 
 16.91 
 
 16.48 
 
 6.60 
 
 41.72 
 
 
 
 100.00) 383, 1883. 
 
 
 
 Si 12 
 
 A1 12 
 
 Na ie 
 
 s 4 
 
 o 4g 
 
 
 
 13 
 
 Theory. 
 
 17.46 
 
 16.84 
 
 19.13 
 
 6.65 
 
 39.92 
 
 
 
 100.00 
 
 
 Found. 
 
 17.35 
 
 16.95 
 
 18.98 
 
 6.70 
 
 4002 
 
 
 
 100.00) 
 
 
 
 
 17.52 
 
 16.84 
 
 18.88 
 
 6.60 
 
 40.16 
 
 
 
 100.00 1 G. Guckelberger, Dingl. Journ. 247, 
 
 
 
 17.65 
 
 16.50 
 
 18.98 
 
 6.72 
 
 40.15 
 
 
 
 100.00) 343, 1883. 
 
 
 ?> 
 
 17.67 
 
 16.40 
 
 19.05 
 
 6.80 
 
 40.08 
 
 
 
 100.00) 
 
 
 w 
 
 17.83 
 
 16.41 
 
 18.97 
 
 6.62 
 
 40.17 
 
 
 
 100.00 }-G. Guckelberger, Dingl Journ. 247, 
 
 
 ,} 
 
 18.01 
 
 16.24 
 
 19.20 
 
 6.78 
 
 39.77 
 
 
 
 100.00) 383, 1883. 
 
 
 
 18.02 
 
 17.00 
 
 18.92 
 
 6.82 
 
 39.24 
 
 
 
 100.00 G. Guckelberger Dingl. Journ. 247, 
 
 
 
 
 
 
 
 
 
 386, 1883. 
 
ULTRAMARINES 
 
 433 
 
 14. 
 
 Theory. 
 
 Si lf 
 14.84 
 
 A1 M 
 14.31 
 
 Na 12 
 12.19 
 
 Ag 4 
 19.08 
 
 5.65 
 
 48 
 33.93 
 
 Total 
 100.00 
 
 
 
 Found. 
 
 15.00 
 
 14.22 
 
 12.50 
 
 19.00 
 
 5.29 
 
 33.99 
 
 100.00 
 
 G. Guckelberger, Dingl. Journ. 247, 
 
 
 
 
 
 
 
 
 
 
 343, 1883. 
 
 
 
 Sii, 
 
 Al u 
 
 Na 6 
 
 Agio 
 
 S 4 
 
 48 
 
 
 
 15. 
 
 Theory. 
 
 12.12 
 
 11.68 
 
 4.98 
 
 38.93 
 
 4.61 
 
 27.68 
 
 100.00 
 
 
 
 Found. 
 
 12.02 
 
 11.82 
 
 4.58 
 
 39.20 
 
 4.40 
 
 27.98 
 
 100.00 
 
 G. Guckelberger, Dingl. Journ. 247 \ 
 
 
 
 
 
 
 
 
 
 
 347, 1883. 
 
 
 
 Sii2 
 
 All. 
 
 Na 13 . 6 
 
 K 
 
 S 4 
 
 46 
 
 
 
 16. 
 
 Theory. 
 
 18.12 
 
 17.48 
 
 16.75 
 
 1.05 
 
 6.90 
 
 39.70 
 
 100.00 
 
 
 
 Found. 
 
 18.29 
 
 16.50 
 
 17.85 
 
 1.33 
 
 6.20 
 
 39.93 
 
 100.00 
 
 H. Ritter, Inaug.-Diss. Gottingen, 
 
 
 
 
 
 
 
 
 
 
 1860. 
 
 
 
 e,' 
 
 A 1 
 
 "NTn 
 
 
 
 
 
 
 
 
 *^M2 
 
 XA.li o 
 
 IMttjg 
 
 4 
 
 48 
 
 
 
 
 17. 
 
 Theory. 
 
 17.05 
 
 16.45 
 
 21.02 
 
 6.50 
 
 38.98 
 
 
 
 100.00 
 
 - -> 
 
 
 Found. 
 
 17.00 
 
 16.60 
 
 21.50 
 
 6.50 
 
 38.40 
 
 
 
 100.00 
 
 Rickmann, Ann. d. Chem. 79^,1-22. 
 
 
 
 
 16.74 
 16.59 
 
 15.95 
 16.14 
 
 20.59 
 20.92 
 
 6.22 
 5.72 
 
 40.50 
 40.63 
 
 
 
 100.00 
 100.00 
 
 i Rickmann, Dingl. Journ. 232, 164. 
 
 
 
 
 16.53 
 
 16.27 
 
 21.02 
 
 5.51 
 
 40.67 
 
 
 
 100.00 
 
 Rickmann, Dingl. Journ. 232, 170. 
 
 
 
 Sii 2 
 
 A1 12 
 
 Na 16 
 
 S 4 
 
 46 
 
 
 
 
 18. 
 
 Theory. 
 
 17.75 
 
 17.12 
 
 19.45 
 
 6.77 
 
 38.91 
 
 
 
 100.00 
 
 
 
 Found. 
 
 18.20 
 
 16.60 
 
 19.00 
 
 6.10 
 
 40.10 
 
 
 
 100.00 
 
 R. Hoffmann, Ann. d. Chem. 194, 
 
 
 
 
 
 
 
 
 
 
 1-22, 1878. 
 
 
 
 Si J6 
 
 A1 12 
 
 Na 14 
 
 So 
 
 O 6 . 
 
 
 
 
 19. 
 
 Theory. 
 
 18.62 
 
 13.47 
 
 13.38 
 
 11.97 
 
 42.56 
 
 
 
 100.00 
 
 
 
 Found. 
 
 18.80 
 
 13.00 
 
 13.70 
 
 11.80 
 
 42.70 
 
 
 
 100.00 
 
 C. Griinzweig per R. Hoffmann, Ann. 
 
 
 
 
 
 
 
 
 
 
 d. Chem. 194, 18. 
 
 
 
 Siie 
 
 A1 12 
 
 Na ie 
 
 K 
 
 S 9 
 
 65 
 
 
 
 20. 
 
 Theory. 
 
 18.15 
 
 13.13 
 
 14.91 
 
 
 
 11.67 
 
 42.14 
 
 100.00 
 
 
 
 Found. 
 
 17.29 
 
 12.55 
 
 14.66 
 
 11.38 
 
 44.12 
 
 100.00 
 
 Philipp, Ann. d. Chem. 7^,132,1876. 
 
 
 
 
 17.57 
 
 12.54 
 
 14.51 
 
 0.80 
 
 11.38 
 
 43.20 
 
 100.00 
 
 
 
 
 Si 12 
 
 A1 6 
 
 Na 9 
 
 Se 
 
 88 
 
 
 
 
 21. 
 
 Theory. 
 
 23.40 
 
 11.28 
 
 9.61 
 
 13.37 
 
 42.34 
 
 
 
 100.00 
 
 
 
 Found. 
 
 23.12 
 
 11.71 
 
 8.97 
 
 13.22 
 
 42.98 
 
 
 
 100.00 
 
 G. Scheffer, Ber. d. D. Chem. Ges. 
 
 
 
 
 
 
 
 
 
 
 1451, 1873. 
 
 
 
 Siio 
 
 A1 6 
 
 Na 
 
 g 
 
 34 
 
 
 
 
 22. 
 
 Theory. 
 
 20.77 
 
 12.02 
 
 10.24 
 
 14.24 
 
 42.73 
 
 
 
 100.00 
 
 
 
 Found. 
 
 21.63 
 
 12.33 
 
 9.93 
 
 13.96 
 
 42.15 
 
 
 
 100.00 
 
 G. Scheffer, Ber. d. D. Chem. Ges. 
 
 
 
 
 
 
 
 
 
 
 1451, 1873. 
 
 
 
 Siie 
 
 A1 12 
 
 Na 20 
 
 Sic 
 
 62 
 
 
 
 
 23. 
 
 Theory. 
 
 17.61 
 
 12.74 
 
 18.08 
 
 12.58 
 
 38.99 
 
 
 
 100.00 
 
 
 
 Found. 
 
 17.70 
 
 13.80 
 
 17.70 
 
 12.20 
 
 38.60 
 
 
 
 100.00 
 
 R. Hoffmann, Ann. d. Chem. 194, 
 
 
 
 
 
 
 
 
 
 
 14. 1878. 
 
 24. Theory. 
 
 Siis 
 20.34 
 
 A1 M 
 13.08 
 
 Na 14 
 12.99 
 
 15 Q 
 
 38.09 
 
 
 100.00 
 
 
 
 Found. 
 
 20.20 
 
 13.50 
 
 12.90 
 
 15.50 
 
 37.09 
 
 
 
 100.00 
 
 R. Hoffmann, Ann. d. Chem. 194, 
 
 
 
 
 
 
 
 
 
 
 17, 1878. 
 
 
 
 Si w 
 
 A1 12 
 
 Na 18 
 
 Sl2 
 
 8 i 
 
 
 
 
 25. 
 
 Theory. 
 
 19.37 
 
 12.45 
 
 15.91 
 
 1476 
 
 37.51 
 
 
 
 100.00 
 
 
 
 Found. 
 
 19.20 
 
 12.60 
 
 16.50 
 
 14.20 
 
 37.50 
 
 
 
 100.00 
 
 
 
 
 19.00 
 
 12.70 
 
 16.80 
 
 14.00 
 
 37.50 
 
 
 
 100.00 
 
 
 
 
 19.00 
 19.30 
 19.30 
 
 13.00 
 12.50 
 12.80 
 
 16.50 
 16.80 
 16.10 
 
 13.80 
 13.90 
 14.00 
 
 37.70 
 37.50 
 37.80 
 
 
 
 100.00 
 100.00 
 100.00 
 
 G. Guckelberger, Dingl. Journ. 247 , 
 343, 1883. 
 
 
 
 19.00 
 
 13.00 
 
 15.90 
 
 14.00 
 
 38.10 
 
 
 
 100.00 
 
 
 26. 
 
 Theory. 
 
 18*92 
 
 All. 
 12.17 
 
 Na 20 
 17.27 
 
 1 S 4'.42 
 
 62 
 37.22 
 
 
 100.00 
 
 
 
 Found. 
 
 19.00 
 
 12.70 
 
 17.40 
 
 13.60 
 
 37.30 
 
 
 
 100.00 
 
 R. Hoffmann, Dingl. Journ. 247, 
 
 
 
 
 
 
 
 
 
 
 1883 ; Ann. d. Chem. 194, 14. 
 
 
 
 Siie 
 
 A1 12 
 
 Na 12 
 
 S 12 
 
 59 
 
 
 
 
 27. 
 
 Theory. 
 
 19.00 
 
 13.74 
 
 13.66 
 
 16.28 
 
 37.32 
 
 
 
 100.00 
 
 
 
 Found. 
 
 18.80 
 
 13.80 
 
 14.10 
 
 16.30 
 
 37.00 
 
 
 
 100.00 
 
 R. Hoffmann, Ann. d. Chem. 794, 17, 
 
 2 F 
 
434 
 
 PORTLAND CEMENTS 
 
 
 
 Si 
 
 A1 6 
 
 Na 8 
 
 S 6 
 
 36 
 
 Total 
 
 
 28. Theory. 
 
 23. 1 17 
 
 11.18 
 
 12.69 
 
 13.24 
 
 39.72 
 
 100.00 
 
 
 
 Found. 
 
 23.04 
 23.63 
 
 10.77 
 11.09 
 
 11.90 
 12.00 
 
 14.02 
 13.46 
 
 40.27 
 39.82 
 
 100.00 | 
 100.00 
 
 G. Scheffer, Ber. d. D. chem. Ges. 1451, 1873 
 
 
 
 Si 
 
 A1 12 
 
 Na 16 
 
 S 6 
 
 60 
 
 
 
 29. 
 
 Theory. 
 Found. 
 
 2L47 
 21.53 
 
 13.79 
 13.42 
 
 15.68 
 15.38 
 
 8.18 
 9.25 
 
 40.88 
 40.42 
 
 100.00 
 100.00 
 
 E. Btichner, Ber. d. D. chem. Ges. 7, 989, 1874 
 
 
 
 Si 
 
 A1 12 
 
 Na 18 
 
 S 5 
 
 62 
 
 
 
 30. 
 
 Theory. 
 
 21. ^5 
 
 13.55 
 
 17.29 
 
 6.68 
 
 41.43 
 
 100.00 
 
 
 
 Found. 
 
 20.75 
 
 13.53 
 
 17.01 
 
 6.78 
 
 41.93 
 
 100.00 \ 
 
 
 
 
 21.00 
 
 13.08 
 
 16.98 
 
 6.79 
 
 42.15 
 
 100.00 
 
 | 
 
 
 " 
 
 20.89 
 20.51 
 
 13.28 
 13.50 
 
 17.28 
 18.00 
 
 6.80 
 6.90 
 
 41.75 
 41.09 
 
 100.00 ! 
 
 100.00 | 
 
 >G. Guckelberger, Dingl. Journ. 247, 343, 1883, 
 
 
 
 21.00 
 
 13.12 
 
 17.80 
 
 7.02 
 
 41.06 
 
 100.00 
 
 | 
 
 
 99 
 
 20.69 
 
 13.30 
 
 17.20 
 
 6.90 
 
 41.91 
 
 100.00 ; 
 
 
 Portland Cements 
 
 Formulae of a Series from Analyses of Portland Cements 
 
 
 SiO, 
 
 Al 4 0a 
 
 Fe,0 3 
 
 CaO 
 
 MgO K,0 
 
 Na,0 
 
 CO, 
 
 SO a 
 
 H 2 Total 
 
 
 1. Theory. 
 Found. 
 
 25.34 
 25.29 
 
 5.37 
 5.41 
 
 8.39 
 8.64 
 
 50.891.39 
 50.401.24 
 
 0.82 
 0.50 
 
 0.544.61 
 0.734.61 
 
 1.39 
 1.10 
 
 1.26 
 1.30 
 
 100.00 
 99.92 
 
 Feichtinger, Dingl. Journ., 40-6] 
 
 
 
 
 
 
 
 
 
 
 
 
 108-118, 185 ( . 
 
 2. Theory. 
 
 24.09 
 
 6.83 
 
 5.35 
 
 63.73 
 
 
 
 
 
 
 
 
 
 
 
 100.00 
 
 
 Found. 
 
 24.30 
 
 6.90 
 
 4.8064.10 
 
 
 
 
 
 
 
 ' 
 
 
 
 
 
 100.10 
 
 ) A. W. Hoffmann, Amtl. Ber. c 
 
 3. Theory. 
 
 23.65 
 
 6.70 
 
 5.2664.39 
 
 
 
 
 
 
 
 
 
 
 
 
 
 100.00 
 
 f Wien. Ausst. 3, I, 583, 1871 
 
 Found. 
 
 23.30 
 
 6.50 
 
 4.7065.40 
 
 
 
 
 
 
 
 
 
 
 
 
 
 99.90 
 
 ) 
 
 4. Theory. 
 
 22.78 
 
 6.45 
 
 5.06 
 
 63.78 
 
 0.67 
 
 
 
 
 
 
 
 1.26 
 
 
 
 100.00 
 
 
 Found. 
 
 22.48 
 
 6.52 
 
 4.46 
 
 62.931.48 
 
 
 
 
 
 
 
 1.39 
 
 
 
 99.26 
 
 K. Pietrusky, J. B. T. 48, 1, 474 
 
 99 
 
 21.94 
 
 6.02 
 
 4.38 
 
 64.63 
 
 1.25 
 
 
 
 
 
 
 
 1.12 
 
 
 
 99.34 
 
 Chem. Ind. 190; 
 
 
 23.44 
 
 6.35 
 
 3.99 
 
 63.21 
 
 1.16 
 
 
 
 
 
 
 
 1.22 
 
 
 
 99.36 
 
 
 5. Theory. 
 
 22.50 
 
 6.38 
 
 5.00 
 
 63.00 
 
 1.88 
 
 
 
 
 
 
 
 1.24 
 
 
 
 100.00 
 
 
 Found. 
 
 22.00 
 
 6.50 
 
 3.2062.10 
 
 2.10 
 
 
 
 
 
 
 
 1.10 
 
 
 
 97.00 
 
 J. B. T. 43, 765. 
 
 
 22.42 
 
 6.28 
 
 3.6262.82 
 
 2.09 
 
 
 
 
 
 
 
 1.29 
 
 
 
 98.52 
 
 
 99 
 
 22.10 
 
 6.25 
 
 3.7062.50 
 
 1.75 
 
 
 
 
 
 
 
 1.20 
 
 
 
 97.50 
 
 
 
 22.07 
 
 6.59 
 
 3.41 
 
 62.00 
 
 1.04 
 
 
 
 
 
 
 
 1.53 
 
 
 
 96.64 
 
 
 6. Theory. 
 
 22.59 
 
 6.36, 4.98 
 
 63.26 
 
 1.56 
 
 
 
 
 
 
 1.25 
 
 
 
 100.00 
 
 
 Found. 
 
 22.48 
 
 6.52 
 
 4.4662.93 
 
 1.48 
 
 
 
 
 
 
 
 1.30 
 
 
 
 99.17 
 
 Tonind.-Ztg., 1826, 1901. 
 
 > 
 
 23.44 
 
 6.35 
 
 3.99 
 
 63.21 
 
 1.15 
 
 
 
 
 
 
 1.22 
 
 
 
 99.36 
 
 
 7. Theory 
 
 22.30 
 
 7.06 
 
 3.69 
 
 62.02 
 
 2.46 
 
 
 
 
 
 
 2.46 
 
 
 100.00 
 
 
 Found. 
 
 21.86 
 
 7.17 
 
 3.73 
 
 61.14 
 
 2.34 
 
 
 
 
 
 
 1.94 
 
 
 
 98.18 
 
 Tonind.-Ztg., 1826, 1901. 
 
 8. Theory 
 
 22.22 
 
 7.03 
 
 3.67 
 
 65.23 
 
 0.61 
 
 
 
 
 
 
 
 1.23 
 
 
 
 100.00 
 
 
 Found. 
 
 22.10 
 
 6.40 
 
 3.04 
 
 65.44 
 
 0.81 
 
 
 
 
 
 
 
 1.61 
 
 
 
 99.40 
 
 Tonind.-Ztg., 2015, 1901. 
 
 9. Theory 
 
 21.83 
 
 6.13 
 
 4.82 
 
 64.50 
 
 1.51 
 
 
 
 
 
 
 
 1.21 
 
 
 
 100.00 
 
 
 Found. 
 
 21.94 
 
 6.02 
 
 4.38 
 
 64.62 
 
 1.25 
 
 
 
 
 
 
 1.12 
 
 
 
 99.33 
 
 
 10. Theory 
 
 21.55 
 
 7.58 
 
 2.38 
 
 64.93 
 
 1.19 
 
 
 
 
 
 
 2.37 
 
 
 
 100.00 
 
 
 Found. 
 
 21.26 
 
 7.64 
 
 2.86 
 
 63.7411.10 
 
 
 
 
 
 
 2.18 
 
 0.60 
 
 99.38 
 
 Tonind.-Ztg., 2015, 1901. 
 
 11. Theory. 
 
 23.71 
 
 12.10 
 
 
 
 64.19 
 
 
 
 ___ 
 
 
 
 __ 
 
 
 
 100.00 
 
 
 Found. 
 
 23.80 
 
 11.40 
 
 
 
 64.80 
 
 
 
 
 
 
 
 
 
 
 
 100.00 
 
 A. W. Hoffmann, Amtl. Ber. < 
 
 12. Theory. 
 
 21.17 
 
 8.04 
 
 4.20 
 
 61.82 3.50 , 
 
 
 
 
 
 1.27 
 
 100.00 
 
 Wien. Ausst. 3, I, 583, 187 
 
 Found. 
 
 20.72 
 
 7.57 
 
 4.48 
 
 60.523.02 1.02 
 
 0.52 
 
 0.37 
 
 1.22 
 
 99.44 
 
 Fischer, H. d. ch. T. 828. 
 
 13. Theory. 
 
 20.64 
 
 7.89 
 
 4.13 
 
 62.59 2.06 1.62 
 
 1.07 
 
 
 
 
 
 
 
 100.00 
 
 
 Found. 
 
 20.33 8.67 
 
 3.80,62.33 2.48 1.20 
 
 0.85 
 
 
 
 
 
 
 
 99.66 
 
 J. B. T. 43, 732. 
 
 ,, 
 
 20.33 
 
 7.19 
 
 3.6563.65|2.62 
 
 1.04 
 
 0.80 
 
 
 
 
 
 
 
 99.28 
 
 
 14. Theory. 
 
 24.16 
 
 
 
 10.7365.12! 
 
 
 
 
 
 
 
 ___ 
 
 __ 
 
 100.00 
 
 
 Found. 
 
 23.80 
 
 
 
 11.40 
 
 64.80 
 
 ._._ 
 
 
 
 
 
 
 
 
 
 . 
 
 100.00 
 
 A. W. Hoffmann, Amtl. Ber. < 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Wien. Ausst. J, I, 583, 187, 
 
PORTLAND CEMENTS 
 
 435 
 
 
 SiO, 
 
 Al,0, 
 
 Fe a O, 
 
 CaO 
 
 MgO 
 
 K,O 
 
 Na,0 
 
 CO, 
 
 SO, 
 
 H a o 
 
 Total 
 
 
 15. Theory. 
 
 23.65 
 
 5.02 
 
 2.63 
 
 65.87 
 
 1.09 
 
 _^ . j- 
 
 
 
 .74 
 
 
 
 100.00 
 
 
 Found. 
 
 23.40 
 
 5.18 
 
 2.79 
 
 65.80 
 
 1.13 
 
 0.48 
 
 
 
 .42 
 
 
 
 100.20 
 
 Loebell, J. B. T. 48, 1, 
 
 
 
 32.68 
 
 5.03 
 
 2.82 
 
 65.47 
 
 1.08 
 
 0.53 
 
 
 
 .36 
 
 
 
 99.97 
 
 466. 
 
 16. Theory. 
 
 32.52 
 
 7.37 
 
 5.79 
 
 44.56 
 
 1.45 
 
 0.85 
 
 0.57 
 
 4.78 
 
 .46 
 
 0.66 
 
 100.00 
 
 
 Found. 
 
 32.60 
 
 7.17 
 
 6.23 
 
 44.96 
 
 1.52 
 
 0.45 
 
 0.64 
 
 4.52 
 
 .20 
 
 0.72 
 
 100.00 
 
 Fehling, H. d. Chem. 482, 
 
 17. Theory. 
 
 34.15 
 
 7.73 
 
 6.06 
 
 46.76 
 
 0.76 
 
 
 
 
 
 1.66 
 
 .51 
 
 1.37 
 
 100.00 
 
 1875. 
 
 Found. 
 
 34.07 
 
 7.49 
 
 5.58 
 
 46.07 
 
 0.90 
 
 
 
 
 
 1.38 
 
 .96 
 
 1.47 
 
 98.92 
 
 Fehling, H. d. Chem. 482, 
 
 18. Theory. 
 
 32.63 
 
 7.34 
 
 5.76 
 
 45.37 
 
 1.44 
 
 0.85 
 
 0.56 
 
 3.96 
 
 .44 
 
 0.65 
 
 100.00 
 
 1875. 
 
 Found. 
 
 32.60 
 
 7.17 
 
 6.23 
 
 44.96 
 
 1.52 
 
 0.45 
 
 0.64 
 
 4.52 
 
 .20 
 
 0.72 
 
 100.01 
 
 Feichtinger, Dingl. Jour. 
 
 19. Theory. 
 
 34.08 
 
 7.67 
 
 6.02 
 
 46.33 
 
 0.75 
 
 0.88 
 
 0.58 
 
 0.82 
 
 .50 
 
 1.35 
 
 100.00 
 
 40-61, 108-118, 1859. 
 
 Found. 
 
 34.07 
 
 7.49 
 
 5.58 
 
 46.07 
 
 0.90 
 
 0.27 
 
 0.56 
 
 1.38 
 
 .96 
 
 1.47 
 
 99.75 
 
 Feichtinger, Dingl. Jour. 
 
 20. Theory. 
 
 29.33 
 
 4.95 
 
 7.72 
 
 48.01 
 
 1.94 
 
 0.05 
 
 0.50 
 
 5.69 
 
 0.65 
 
 1.16 
 
 100.00 
 
 40-61, 108-118, 1859. 
 
 Found. 
 
 28.56 
 
 4.75 
 
 8.14 
 
 47.53 
 
 2.04 
 
 0.48 
 
 0.68 
 
 5.58 
 
 0.40 
 
 1.20 
 
 99.36 
 
 Feichtinger, Dingl. Jour. 
 
 21. Theory. 
 
 28.89 
 
 4.92 
 
 7.71 
 
 48.47 
 
 1.93 
 
 0.76 
 
 0.50 
 
 5.66 
 
 
 
 1.16 
 
 100.00 
 
 40-61, 108-118, 1859. 
 
 Found. 
 
 28.56 
 
 4.75 
 
 8.14 
 
 47.53 
 
 2.04 
 
 0.48 
 
 0.60 
 
 5.58 
 
 
 
 1.20 
 
 98.88 
 
 Fehling, H. d. Chem. 482, 
 
 22. Theory. 
 
 25.39 
 
 7.19 
 
 2.26 
 
 56.87 
 
 2.82 
 
 1.33 
 
 0.87 
 
 1.00 MnO 
 
 2.27 
 
 
 
 100.00 
 
 1875. 
 
 Found. 
 
 24.26 
 
 6.97 
 
 2.88 
 
 56.90 
 
 2.15 
 
 0.90 
 
 0.54 
 
 1.60 MnO 
 
 1.28 
 
 
 
 97.48 
 
 J. B. T. 44, 749. 
 
 24. Theory. 
 
 23.35 
 
 6.57 
 
 2.06 
 
 64.93 
 
 1.03 
 
 
 
 
 
 
 
 2.06 
 
 
 
 100.00 
 
 
 Found. 
 
 22.96 
 
 6.78 
 
 2.54 
 
 63.95 
 
 0.98 
 
 
 
 
 
 
 
 1.96 
 
 
 
 99.17 
 
 Tonind.-Ztg. 2015, 1901. 
 
 25. Theory. 
 
 23.19 
 
 5.87 
 
 3.06 
 
 63.03 
 
 1.02 
 
 0.60 
 
 1.19 
 
 
 2.04 
 
 
 
 100.00 
 
 
 Found. 
 
 23.40 
 
 6.07 
 
 2.51 
 
 63.870.97 
 
 0.80 
 
 1.22 
 
 
 
 1.45 
 
 
 
 100.29 
 
 v. Teichek, Chem. Ind. 
 
 26. Theory. 
 
 23.21 
 
 5.92 
 
 3.09 
 
 65.72 
 
 1.03 
 
 
 
 
 
 
 
 1.30 
 
 
 
 100.00 
 
 24, 445, 1901. 
 
 Found. 
 
 22.71 
 
 6.42 
 
 2.81 
 
 63.14 
 
 1.04 
 
 1.64 CaSO 4 
 
 O.SOCaCO., 
 
 
 
 
 
 93.56 
 
 Tonind.-Ztg. 409, 1879. 
 
 27. Theory. 
 
 22.94 
 
 5.81 
 
 3.03 
 
 65.18 
 
 1.02 
 
 
 
 
 
 
 2.02 
 
 
 
 100.00 
 
 
 Found. 
 
 22.33 
 
 5.53 
 
 3.28 
 
 64.40 
 
 1.20 
 
 
 
 
 
 
 2.41 
 
 
 
 99.15 
 
 Tonind.-Ztg. 2015, 1901. 
 
 28. Theory. 
 
 10.39 
 
 7.37 
 
 2.31 
 
 71.96 
 
 3.47 
 
 . 
 
 1.91 
 
 
 
 2.59 
 
 100.00 
 
 
 Found. 
 
 10.38 
 
 6.66 
 
 1.99 
 
 72.10 
 
 3.27 
 
 0.85 
 
 1.64 
 
 0.43 
 
 2.56 
 
 99.88 
 
 Fischer, H. d. ch. T. 828. 
 
 29. Theory. 
 
 25.29 
 
 8.35 
 
 9.36 
 
 52.43 
 
 
 
 
 0.72 
 
 2.06 
 
 0.94 
 
 0.85 
 
 100.00 
 
 
 Found. 
 
 25.21 
 
 8.26 
 
 8.35 
 
 52.46 
 
 
 
 
 0.78 
 
 2.25 
 
 1.30 
 
 0.68 
 
 99.29 
 
 Fehling, H. d. Ch. 482, 
 
 30. Theory. 
 
 25.13 
 
 8.25 
 
 9.24 
 
 52.42 
 
 0.46 
 
 
 
 0.71 
 
 2.03 
 
 0.92 
 
 0.83 
 
 100.00 
 
 1875. 
 
 Found. 
 
 25.21 
 
 8.26 
 
 8.35 
 
 52.46 
 
 0.50 
 
 0.30 
 
 0.78 
 
 2.25 
 
 1.30 
 
 0.68 
 
 100.09 
 
 Feichtinger, Dingl. Jour. 
 
 31. Theory. 
 
 17.25 
 
 8.18 
 
 2.57 
 
 63.71 
 
 3.85 
 
 _ > _._ | _^ 
 
 2.12 
 
 
 
 2.32 
 
 100.00 
 
 40-61, 108-118, 1859. 
 
 Found. 
 
 16.75 
 
 7.97 
 
 2.71 
 
 61.92 
 
 4.03 
 
 1.25 
 
 2.42 
 
 0.42 
 
 2.24 
 
 94.64 
 
 Fischer, H. d. ch. T. 828. 
 
 32. Theory. 
 
 17.71 
 
 8.37 
 
 2.62 
 
 66.12 
 
 3.28 
 
 ^~~~~~~-^ 
 
 0.72 
 
 
 
 1.18 
 
 100.00 
 
 
 Found. 
 
 17.04 
 
 8.09 
 
 3.25 
 
 65.05 
 
 3.04 
 
 0.92 
 
 0.83 
 
 0.30 
 
 1.06 
 
 99.58 
 
 Fischer, H. d. ch. T. 828. 
 
 33. Theory. 
 
 15.00 
 
 7.03 
 
 2.20 
 
 66.44 
 
 4.41 
 
 ; x 
 
 2.42 
 
 
 
 2.50 
 
 100.00 
 
 
 Found. 
 
 14.76 
 
 7.52 
 
 2.15 
 
 65.42 
 
 3.89 
 
 0.86 
 
 2.19 
 
 0.52 
 
 2.32 
 
 99.63 
 
 Fischer, H. d ch. T. 828. 
 
 34. Theory. 
 
 21.78 
 
 13.89 
 
 
 
 45.06 
 
 3.18 
 
 
 
 
 
 2.00 
 
 1.83 
 
 12.26 
 
 100.00 
 
 
 Found. |21.02 
 
 13.02 
 
 
 
 43.57 
 
 3.09 
 
 
 
 
 
 1.76 
 
 2.29 
 
 11.87 
 
 96.62 
 
 J. B. T. 44, 745. 
 
 35. Theory. 
 
 20.59 
 
 13.04 
 
 
 
 42.64 
 
 2.77 
 
 1.01 
 
 0.66 
 
 1.40 
 
 2.55 
 
 13.82 
 
 98.48 
 
 
 Found. 
 
 20.22 
 
 14.52 
 
 
 
 41.87 
 
 3.02 
 
 077 
 
 0.71 
 
 1.86 
 
 3.02 
 
 13.77 
 
 99.76 
 
 Zulkowski. 
 
 36. Theory. 
 
 24.59 
 
 15.68 
 
 0.91 MnO 
 
 48.77 
 
 3.08 
 
 2.41 
 
 1.59 
 
 0.92 FeO 
 
 2.05 
 
 
 
 100.00 
 
 t 2jU.lo\vski 
 
 Found. 
 
 24.64 
 
 15.27 
 
 0.82MnO 
 
 49.70 
 
 3.29 
 
 1.67 
 
 1.37 
 
 1.12 FeO 
 
 1.72 
 
 
 
 99.60 
 
 1 J. B. T. 44, 745. 
 
 37. Theory. 
 
 21.04ll3.32 
 
 0.78 FeO 
 
 43.57 
 
 2.83 
 
 1.02 
 
 1.35 
 
 0.96 
 
 2.61 
 
 11.75 
 
 100.00 
 
 0.77 MnO. 
 
 Found'. 
 
 21.02 13.02 
 
 0.85 FeO 
 
 43.57 
 
 3.090.31 
 
 0.84 
 
 1.76 
 
 2.29 
 
 11.87 
 
 99.28 
 
 0.66 MnO Zulkowski. 
 
436 
 
 PORTLAND CEMENTS 
 
 
 
 SiO, 
 
 AI.O, 
 
 Fe 2 0, 
 
 CaO |MgO 
 
 K a O |Na,0 
 
 CO, 
 
 so, 
 
 H 2 
 
 Total 
 
 
 38. Theory. 
 Found. 
 
 24.73 
 24.64 
 
 15.65 
 15.27 
 
 0.92 FeO 
 1.12 FeO 
 
 49.77|3.32 
 49.703.29 
 
 1.80 
 1.67 
 
 1.59 
 1.37 
 
 0.281.03 
 0.5411.72 
 
 0.9 iMnO 100.00 
 0.82MnO 100.14 
 
 Zulkowski 
 
 39. Theory. 
 Found. 
 
 pf 
 
 23.71 
 22.23 
 23.72 
 
 7.78 
 7.75 
 7.36 
 
 5.23 
 5.30 
 5.50 
 
 54.370.87 
 54.100.75 
 54.400.86 
 
 1.02 
 1.10 
 0.86 
 
 2.03 
 1.66 
 1.78 
 
 3.14 
 2.15 
 
 2.80 
 
 0.87 
 1.00 
 1.12 
 
 0.98 
 1.00 
 0.96 
 
 100.00 
 97.04 
 99.36 
 
 Feichtinger, Dingl. Journ 
 40-61, 108-118, 1859 
 
 40. Theory. 
 Found. 
 
 23.64 
 22.47 
 
 8.93 
 7.81 
 
 3.51 
 3.42 
 
 61.29 
 61.13 
 
 0.87 
 1.06 
 
 
 
 
 
 z 
 
 1.76 
 2.03 
 
 _ 
 
 100.00 
 97.92 
 
 J. B. T. 35, 852.' 
 
 
 23.57 
 
 8.89 
 
 3.51 
 
 60.10 
 
 0.95 
 
 
 
 
 
 
 
 0.90 
 
 
 
 97.92 
 
 
 
 
 22.96 
 
 9.14 
 
 3.23 
 
 61.19 
 
 1.03 
 
 
 
 
 
 
 
 1.45 
 
 
 
 99.00 
 
 
 M 
 
 23.36 
 
 8.12 
 
 3.21 
 
 60.57 
 
 1.19 
 
 
 
 
 
 
 
 1.81 
 
 
 
 98.26 
 
 
 41. Theory. 
 Found. 
 
 
 28.72 
 28.54 
 29.08 
 
 3.05 
 3.43 
 3.40 
 
 1.59 
 1.13 
 1.24 
 
 65.85 
 66.62 
 66.07 
 
 0.79 
 0.30 
 0.20 
 
 E 
 
 
 
 
 
 E 
 
 E 
 
 100.00 
 100.02 
 99.99 
 
 Tonind.-Ztg. 981, 1902. 
 
 42. Theory. 
 
 27.39 
 
 2.92 
 
 1.52 
 
 68.17 
 
 
 
 
 
 
 
 
 100.00 
 
 
 
 
 
 
 
 Found. 
 
 27.06 
 
 3.19 
 
 1.29 
 
 68.06 
 
 0.35 
 
 
 
 
 
 
 
 
 
 
 
 99.95 
 
 
 43. Theory. 
 
 26.49 
 
 3.75 
 
 
 
 69.03 
 
 0.73 
 
 
 
 
 
 
 
 
 
 
 
 100.00 
 
 
 Found. 
 
 26.30 
 
 3.50 
 
 0.77 
 
 68.84 
 
 0.54 
 
 
 
 
 
 
 
 
 
 
 
 99.95 
 
 
 44. Theory. 
 Found. 
 
 23.96 
 23.75 
 
 3.38 
 3.11 
 
 0.85 
 
 72.66 
 72.01 
 
 
 
 
 
 
 .^ _ 
 
 100.00 
 100.02 
 
 
 0.30 
 
 
 
 
 
 
 
 
 
REFERENCES TO ANALYSES 
 
 Topazes. 
 
 1, Berzelius, Abhandl. </, 247 ; Schweigg. Journ. 16, 423. 2, Berzelius, I. c. 3, 
 Berzelius, I. c. 4, Rammelsberg, Berl. Akad. 1865, 264. 5, Hildebrand, Geol. Survey 
 Bull. No. 20. 6, Klemm, Beitr. z. Kenntnis. des Topas, Inaug.-Diss., Jena 1873, 12. 
 7, Klemm, 1. c. 8, Klemm, I. c. 9, 10-13, Klemm, I. c. 14, Sommerland quoted by v. 
 Groddeck, Zeitschr. d. Geol. Ges. 1884, 36, 642. 15, Ranmelsberg, I.e. 16-18, 
 Rammelsberg, I. c. 
 
 Epidotes. 
 
 1, Nanke per Bauer, N. Jahrb. 1880, 2, 81. 2, Stockar-Escher, Pogg. Ann. 95, 
 501. 3-6, Stockar-Escher, I. c. 7, Wilk, Groths Zeitschr. 12, 517. 8, 9, Stockar- 
 Escher, I. c. 10, F. Heddle, Min. Soc., London 1879, 3, 18. 11, Scheerer, Pogg. Ann. 
 95, 501. 12, Richter, Pogg. Ann. 95, 501. 13, Hermann, Erdm. Journ. Chem. 43, 88. 
 14, A. G. Dana, Groths Zeitschr. Jo, 490. 15, Mauthner, Tscherm. Mitt. 1872, 259. 
 16, Laspeyres, Groths Zeitschr. 3, 564. 17, Renard, Groths Zeitschr. 6, 177. 18, 
 Hermann, Erdm. Journ. 43, 81. 19, v. Drasche per Klein, N. Jahrb. 1872, 120. 20, 
 Ludwig, Groths Zeitschr. 6, 180. 21, Ludwig, Tscherm. Mitt. 1872, 194. 22, Las- 
 peyres, Groths Zeitschr. 3, 564. 23, Wulf, Tscherm. Mitt. N. F. 8, 235. 24, Rammels- 
 berg, Zeitschr. d. Geol. Ges. 24, 650. 25, Scheerer, Pogg. Ann. 95, 501. 26, Scheerer, 
 /. c. 27, Stockar-Escher, Pogg. Ann. 95, 501. 28, Rammelsberg, Pogg. Ann. 76, 93. 
 29, Scheerer, Pogg. Ann. 95, 501. 
 
 Mesolites. 
 
 1, Thomson, Edinb. N. Phil. Journ. 1834, 17, 186 ; Outl. Min. 1836, 326, 328. 2, 
 Luedecke, N. Jahrb. 1881, 2, 33. 3, Marsh quoted by Dana, Min. 1868, 431. 4, Thomson 
 Edin. N. Phil. Journ. 1834, 17, 186. 5, Thomson, Ed. N. Phil. Journ. 1834, 17, 186. 
 6, E. E. Schmid, Pogg. Ann. 1871, 142, 121. 7, Breidenstein quoted by Rammelsberg, 
 Mineralch., 5. Suppl., 1853, 168. 8, Riegel, Journ. f. prakt. Chem. 1847, 40, 319. 
 9, Fuchs & Gehlen, Schweigg. Journ. 1816, 18, 1. 10, Heddle, Phil. Mag. 1857, 13, 
 148. 11, Heddle, ibid. 12-14, Heddle, Phil. Mag. 1857, 13, 50, 148. 15, Berzelius, 
 Jahresber. 1823, j, 147. 16, Heddle, Phil. Mag. 1857, 13, 50. 17, Fuchs & Gehlen, 
 Schweigg. Journ. 1816, 18, 1. 18, Durscher, Ann. mines 1841, 19, 578. 19, E. E. 
 Schmid, Pogg. Ann. 1871, 142, 121. 20, Sart. v. Waltershausen, Vulk. Gest. 1853, 
 267. 21, Fuchs & Gehlen, Schweigg. Journ. 1816, 18. 1. 22, Fuchs & Gehlen, ibid. 
 23, E. E. Schmid, Pogg. Ann. 1871, 142, 121. 24, Lemberg, Zeitschr. d. Geol. Ges. 
 1876, 28, 552. 25, How, Am. Journ. Sc. 1858, 26, 32. 26, How, ibid. 27, Marsh 
 quoted by Dana, Min. 1868, 431. 28, Darapsky, N. Jahrb. 1888, i, 66. 29, Sadtler, 
 Am. Chem. Journ. 1883, 4, 357. 
 
 The Glintonite Group. 
 
 1, Kobell, Journ. f. prakt. Chem. 1853, 58, 39. 2, Hunt, Am. Journ. Sc. 1861, 31, 
 442. 3, Damour, Bull. soc. min., Paris 1884, 7, 84. 4, Hermann, Journ. f. prakt. 
 Chem. 1851, 53, 13. 5, Suida per Tschermak, Groths Zeitschr. 3, 5, 11. 6, Heddle, 
 Groths Zeitschr. 5, 618. 7, Delesse, Compt. rend. 1846, 22, 595 ; Ann. mines 1846, 
 jo, 232. 8, Erdmann, Journ. f. prakt. Chem. 1834, 4, 127 ; 6, 89. 9, L. Smith, Ann. 
 mines 1850, 18, 300. 10, Renard, Bull. soc. min., Paris 1884, 7, 42. 11, Damour, Bull, 
 soc. min., Paris 1884, 7, 84. 12, SipQcz, Groths Zeitschr. 3, 508. 13, L. Smith, Ann. 
 minea 1850, 18, 300. 14, L. Smith, ibid. 15, F. Heddle, Groths Zeitschr. 5, 618. 
 16, Kobell, Journ. f. prakt. Chem. 1853, 58, 40. 17, Renard, Groths Zeitschr. 8, 420. 
 18, Jackson, Rep. geol. R. 1840, I, 88. 19, Damour, Bull. soc. min., Paris 1879, 2, 
 
 437 
 
438 REFERENCES TO ANALYSES 
 
 167. 20, Damour, Ann. mines 1842, 2, 357. 21, Damour, ibid. 22, Sipocz, Groths 
 Zeitschr. 3, 502. 23, Hermann, Journ. f. prakt. Chem. 1851, 53, 13. 24, Whitney, 
 Proc. nat. hist, soc., Bost. 1849, 100. 25, Wagner per Knop, N. Jahrb. 1872, 788. 
 26, O. Schiefferdecker per Knop, N. Jahrb. 1872, 788. 27, v. Foullon, Jahrb. geol. 
 Reichsanst., Wien 1833, 33, 326. 28, SchrSder, Erlaut. Sect. Zwota 1884, 3. 29, 
 Bonsdorff quoted by G. Rose, Reise 1837, j, 253. 
 
 Micas. 
 
 1, Pisani, Compt. rend. 1876, 83, 166. 2, Genth, Groths Zeitschr. 2, 10. 3, Rumpf, 
 Tscherm. Mitt. 1874, 177. 4, Crawe, Am. Journ. Sc. 1850, 10, 383. 5, Thomson, 
 Outl. Min. 1836, i, 373. 6, Bromeis, Pogg. Ann. 1842, 55, 112. 7, Igelstrom, N. 
 Jahrb. 1872, 296. 8, Chatard, Amer. Journ. Sc. 1888, 36, 263. 9, Cohen, Groths 
 Zeitschr. 7, 405. 10. v. Ammon quoted by v. Giimbel, Geogn. Beschr. d. Fichtelgebirges 
 1879, 182. 11, Chatard quoted by Genth, Amer. Phil. Soc., 19 Sept. 1873, 26. 12, 
 Hilger, N. Jahrb. 1879, 129. 13, Knop, N. Jahrb. 1859, 560. 14, Baltzer, N. Jahrb. 
 1872, 654. 15, Konig quoted by Genth, Amer. Phil. Soc., 19 Sept. 1873, 32. 16, 
 Konig, Proc. Nat. Sc., Philadelphia 1877, 269. 17, Chatard, Amer. Phil. Soc., 19 
 Sept. 1873, 44. 18, Schwager, N. Jahrb. 1878, 385. 19, Knop, N. Jahrb. 1861, 150. 
 
 20, Thoreld, Act. Soc. Fenn 3, 815 ; A. Nordenskiold, Beskrifn. Finl. Min. 1855, 146. 
 
 21, Muller quoted by Breithaupt, Min. Stud. 1866, 33. 22, Kobell, Kaetn. Arch. Nat. 
 12, 29. 23, Zellner, Tscherm. Mitt. 1873, 129. 24, Crossley quoted by Jackson, Sillim. 
 Amer. Journ. 1850, 9, 422. 25, Genth, Amer. Phil. Soc., 19 Sept. 1873, 29. 26, 
 Sharpless, Amer. Journ. Sc. 1869, 47, 319. 27, Smith, Amer. Journ. Sc. 1851, n, 59. 
 28, Smith & Brush, Amer. Journ. Sc. 1853, 15, 209. 29-31, Smith & Brush, ibid. 
 32, Massalin, Trommsd. N. J. 4, 2, 324. 33, Rammelsberg, Zeitschr. d. Geol. Ges. 
 1862, 14, 761. 34, Lemberg, Zeitschr. d. Geol. Ges. 1888, 40, 656. 35, Genth, Amer. 
 Phil. Soc., 19 Sept. 1873, 26. 36, Konig quoted by Genth, ibid. 37, Sauer, Zeitschr. 
 d. Geol. Ges. 1885, 37. 460. 38, Cossa, Accad. Torino, Dec. 1874, Ric. chim. e microscop. 
 1881, 75. 39, Cossa, ibid. 40, Konig, Amer. Phil. Soc., 19 Sept. 1873, 26. 41, Delesse, 
 Ann. chim. phys. 1845, 15, 248. 42, Blau, Tscherm. Mitt. 1873, 32. 43, Sipocz, 
 Tscherm. Mitt. 1873, 31. 44, Igelstrom, Berg- u. Hiittenm. Ztg. 25, 308. 45, Chatard 
 quoted by Gill, Johns Hopkins Univ. Circ., No. 75. 46, Dewey, Groths Zeitschr. 5, 210. 
 47, Mallet, Rammelsbergs Mineralchemie, 5. Suppl., 1853, 148. 48, Kjerulf, Erdm. 
 Journ. f. prakt. Chem. 1855, 65, 191. 49, Riepe quoted by G. v. Rath, Sitzb. Niederrhein. 
 Ges., Bonn 1879, 383. 50, Lehnut, Thomsons Min. 1836, i, 330. 51, Blythe, ibid. 
 52, Scheerer, Zeitschr. d. Geol. Ges. 1862, 14, 63. 53, Killing quoted by Sandberger, 
 Erzgange, Wiesbaden 1882, 1. Heft ; Groths Zeitschr. 7, 411. 54, Laspeyres, Tscherm. 
 Mitt. 1873, 147. 55, Cossa, Accad. Torino, Dec. 1874 ; Ric. chim. e microscop. 1881, 
 75. 56, Varrentrapp, Pogg. Ann. 1844, 61, 381. 57, Brush, Amer. Journ. Sc. 1861, 
 31, 369. 58, Chatard, Amer. Phil. Soc., 19. Sept. 1873, 32. 59, Killing quoted by 
 Rammelsberg, Monatsber. Akad., Berlin 1879, 845. 60, Pisani, Compt. rend. 1862, 
 54, 686. 61, Cooke, Proc. Amer. Acad. Arts 1874, 35. 62, Chatard, Amer. Phil. Soc., 
 19 Sept. 1873, 44. 63, Konig, Amer. Phil. Soc., 19 Sept. 1873, 32. 64, C. v. Hauer, 
 Kenngott, Min. Forsch. 1856, 80. 65, Ficinus, Schweigg. Journ. 1819, 26, 280. 66, 
 Galbrath, Journ. Geol. Soc. Dublin 6, 165. 67, Galbrath, ibid. 68, Kobell, Journ. f. 
 prakt. Chem. 2, 295. 69, Muller quoted by Breithaupt, Min. Stud. 1866, 36. 70, 
 Bromeis quoted by Bischof, Lehrb. Geol. 2, 1418. 71, Konig, Proc. Nat. Sc., Philad. 
 1877, 269. 72, C. v. Hauer, Sitzber. Akad., Wien 1853, n, 609. 73, Bromeis, Pogg. 
 Ann. 1842, 55, 112. 74, Jewreinow, Pogg. Ann. 1847, 70, 854. 75, Konig quoted by 
 Genth, Amer. Phil. Soc., 19 Sept. 1873, 37. 76, K6nig, ibid. 77, Renard, Bull. Acad. 
 Belg. 1881, 2, Nr. 9. 78, Roepper quoted by Sharpless, Amer. Journ. Sc. 1869, 47, 319. 
 79, Boricky quoted by v. Zepharovich, Sitzber. Akad. Wien 54, 287. 80, Haughton, 
 Phil. Mag. 1855, 9, 272. 81, Heddle, Groths Zeitschr. 5, 627. 82, Heddle, Groths 
 Zeitschr. 5, 617, 618, 627. 83, Delesse, Ann. mines 1849, 16, 202. 84, Schafhautl, 
 Ann. chem. Pharm. 1843, 46, 325. 85, Rammelsberg, Zeitschr. d. Geol. Ges. 1862, 14, 
 763. 86, Rammelsberg, Glimmer, Berlin 1889, 67. 
 
 Scapolites. 
 
 1, Crossley, Phil. Mag. 1850, 37, 179. 2, Rammelsberg, Ak. Berl. 1885, 605. 3, 
 Wolff, Inaug.-Diss., Berl. 1843 ; N. Jahrb. 1846, 334. 4, Damour, Institut 1862, 21. 
 5, G. v. Rath, Pogg. Ann. 1853, 90, 88. 6, Hunt, Amer. Journ. Sc. 1849, 8, 103. 7, 
 Hermann, Journ. f. prakt. Chem. 1851, 54, 410. 8, Crossley, Phil. Mag. 1850, 37, 179. 
 
REFERENCES TO ANALYSES 439 
 
 9, G. v. Rath, Pogg. Ann. 1853, go, 88. 10, Lacroix, Bull. soc. min. Paris, 12, 174. 11, 
 Rath, Zeitschr. d. Geol. Ges. 1863, 15, 246. 12, H. Schulze per Goldschmidt, N. 
 Jahrb. 1881, Beil.-Bd. j, 225. 13, Lemberg, Zeitschr. d. Geol. Ges. 1887, 39, 572. 
 14, G. v. Rath, Zeitschr. d. Geol. Ges. 1866, 18, 636. 15, Pisani quoted by Des Cloizeaux, 
 Min. 1862, 225, 234. 16, Lagus & Olkkonen per Wilk, Groths Zeitschr. 7, 110. 17, 
 Berkley quoted by Dunnington, Amer. Chem. Journ. 1892, 620. 18, Wolff, Diss., 
 Berl., 1843. 19, Selkmann quoted by Rammelsberg, Mineralch. 1875, 471. 20, Lagus 
 & Olkkonen quoted by Wilk, Groths Zeitschr. 7, 110. 21, G. v. Rath, Pogg. Ann. 1871, 
 144, 384. 22, Hermann, Journ. f. prakt. Chem. 1845, 34, 178. 23, G. v. Rath, Pogg. 
 Ann. 1853, go, 87. 24, Berlin quoted by Wiebye, Pogg. Ann. 1850, 79, 302. 25, Sip5cz, 
 Tscherm. Mitt. N. F. 4, 266. 26, F. Heddle, Min. Soc. London 1882, 5, 19. 27, N. 
 Nordenskj&ld, Schweigg. Journ. 1821, 31, 417. 28, G. v. Rath, Pogg. Ann. 1853, go, 
 93, 297. 29, Jannetaz, Bull. soc. Paris 1889, 12, 445. 30, Vogt, Zeitschr. d. Geol. 
 1895, 456. 31, Wilk, Min.-Samml., Helsingf. 1887, 39 ; Groths Zeitschr. n, 312. 
 32, N. Nordenskjold, Schweigg, Journ. 1821, 31, 417. 33, Hartwall & Herdberg, 
 Berzel. Jahresb. 4, 155. 34, Hunt, Amer. Journ. 1855, 19, 428; Rep. Geol. Can. 
 1853, 1863, 483. 35, Hermann, Journ. f. prakt. Chem. 1851, 54, 177. 36, Hartwall & 
 Herdberg, Berzel. Jahresb. 4, 155. 37, Hunt, Amer. Journ. Sc. 1855, 19, 428 ; Rep. 
 Geol. Can. 1853, 1863, 483. 38, Th. Wolf, Zeitschr. d. Geol. Ges. 1868, 20, 30. 39, 
 G. v. Rath, Pogg. Ann. 1853, 90, 93, 297. 40, Rammelsberg, Ak. Berl. 1885, 605. 
 41, Hermann, Journ. f. prakt. Chem. 1851, 54, 410. 42, Beeke, Tscherm. Mitt. 1877, 
 267. 43, Bergemann, Pogg. Ann. 1827, g, 267. 44, Giwartowsky, Bull. soc. nat. 
 Moscow 21, 548 ; Erdm. Journ. f. prakt. Chem. 1849, 47, 380. 45, Fuchs, Leonh. 
 Min. Taschb. 1823, 17, 104. 46, Wolff, Inaug.-Diss., Berl. 1843. 47, Wolff, ibid. 
 48, Berg, Ofv. Ak. Stockh. 1844, 94. 49, Thomson, Min. I, 273. 50, Leeds, Amer. 
 Journ. Sc. 1873, 6, 26. 51, Hunt, Amer. Journ. Sc. 1855, 19, 368. 52, Wurtz, Amer. 
 Journ. Sc. 1853, 10, 325. 53, G. v. Rath, Pogg. Ann. 1853, go, 96 ; 92, 300, 303, 290. 
 54, G. v. Rath, Pogg. Ann. 1853, go, 93, 297. 55, Hermann, Journ. f. prakt. Chem 
 54, 410. 56, Fuchs, Naturg. Min. Kempt. 1824, 225. 57, Lemberg, Zeitschr. d. geol. 
 Ges. 1887, 39, 571. 58, G. v. Rath, Pogg. Ann. 1853, go, 93, 297. 59, G. v. Rath, 
 Pogg. Ann. 1853, go, 99. 60, Kiepenheuer per G. v. Rath, Niederrh. Ges., Bonn 
 1879, 381. 61 Salomon Tscherm. Mitt. N. F. 15, 159. 62 Wittstein quoted by 
 Giimbel, Geogn. Beschr. Bay. 1868 2, 358. 63, Genth, Amer. Journ. Sc. 1890, 40, 
 116. 64, Rammelsberg, Ak. Berl. 1885, 599. 65, Rammelsberg, Mineralch, 1886, 
 214. 66, Rammelsberg, Ak. Berl. 1885, 599 ; Zeitschr. d. Geol. Ges. 1884, 36, 229. 
 67, Grandeau, Ann. chim. phys. 1863, 67, 174. 68, Gmelin, Schweigg. Journ. 1819, 
 25, 36; 1822, 35, 348. 69, Muir quoted by Thomson, Min. 1836, 383. 70, Gmelin, 
 Schweigg. Journ. 1819, 25, 36 ; 1822, 35, 348. 
 
 Orthochlorites. 
 
 1, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 2, Heddle. 
 Groths Zeitschr. 5, 634. 3, Kobell, Gel, Anz., Miinchen 1854, Ap. 10. 4, Bruhl, Pogg. 
 Ann. 1839, 48, 185. 5, Genth, Amer. Journ. Sc. 1862, 33, 200. 6, Adams, Amer. 
 Journ. Sc. 1870, 49, 272 ; Shepard, ibid. 50, 96. 7, Heddle, Transact. Roy. Soc. 
 Edinb. 29 ; Groths Zeitschr. 5, 631. 8, Hartwall, Berzel. Jahresber. 23, 266. 9, 
 Schlaepfer, N. Jahrb. 1891, I, 8. 10, Hermann, Journ. f. prakt. Chem. 1851, 53, 22. 
 11, Hunt, Rep. Geol. Can. 1863, 491. 12, Smith & Brush, Amer. Journ. Sc. 1853, 
 16, 47. 13, Smith & Brush, ibid. 14, Rumpf, Tscherm. Mitt. 1873, 33. 15, Ludwig, 
 Tscherm. Mitt. N. F. 12, Heft, 1. 16, Telek quoted by Wartha, Groths Zeitschr. 13, 
 72. 17, Schlaepfer, N. Jahrb. 1891, i, 8. 18, v. Fellenberg, N. Jahrb. 1868, 746. 
 19, v. Hamm, Tscherm. Mitt. 1872, 260. 20, Marignac, Bibl. univ. Gen. 1844, 131. 
 21, Marignac, ibid. 22, ibid. 23, Wartha, Journ. f. prakt. Chem. 1866, 99, 84. 24, 
 Hamberg, Geol. For., Forh. 1890, 12, 580. 25, Liebe, N. Jahrb. 1870, 6, 10. 26, 
 F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 27, Hunt, Rep. 
 Geol. Can. 1863, 491, 469. 28, Chatard quoted by Genth, Amer. Phil. Soc. 1873, 13, 
 414. 29, Clarke & Schneider, Groths Zeitschr. 18, 412. 30, Marignac, Ann. de chim. 
 et phys. 1845, 14, 60. 31, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 
 5, 631. 32, MacDonnell, Proc. Acad. Dublin 5, 307. 33, Merz, Kenngotts tfbers. 
 min. Forsch. 1858, 63. 34, Marignac, Ann. de chim. et phys. 1845, 14, 60. 35, F. 
 Heddle, Trans. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 36, Marignac, Ann. 
 de chim. et phys. 1845, 14, 60. 37, Hunt, Rep. Geol. Can. 1863, 491. 38, Liebe, N. 
 Jahrb. 1870, 5. 39, Schweizer, Pogg. Ann. 1840, 50, 526. 40, Schweizer. ibid. 41, 
 Pisani, Compt. rend. 1876, 83, 116. 42, F. Heddle, Transact. Roy. Soc. Edinb. 1879, 
 
440 REFERENCES TO ANALYSES 
 
 29, 89 ; Groths Zeitschr. 5, 633. 43, Delesse, Ann. mines 1851, 20, 155. 44, Loretz, 
 Jahrb. d. preufi. d. geol. Landesanstalt fiir 1884, Berl. 1885, 133. 45, Loretz, Geogn. 
 Beschr. d. Fichtelgebirges 1879, 210, 233. 46, Pufahl quoted by WeiB, Zeitschr. d. 
 Geol. Ges. 1879, 31, 801. 47, Boricky, Sitzber. Akqad., Wien 1869, 59, 599. 48, 
 Leeds, Amer. Journ. Sc. 1873, 6, 25. 49, Marignac, Bibl. univ. Geneve 1844, 136. 
 50, Marignac, Ann. de chim. et phys. 1844, 10, 430. 51, L. Smith, Amer. Journ. Sc. 
 1851, n, 65. 52, Marignac, Ann. de chim. et phys. 1845, 14, 56. 53, Szilasi quoted by 
 Wartha, Groths Zeitschr. 13, 72. 54, Jannasch, N. Jahrb. 1885, i, 94. 55, Jannasch, 
 ibid. 56, Wartha, Groths Zeitschr. 13, 72. 57, List, Zeitschr. d. Geol. Ges. 1852, 4, 
 634. 58, Genth, Amer. Phil. Soc. 1873, 13, 414. 59, Sipocz per Tschermak, Tscherm. 
 Mitt. N. F. 12, Heft 1. 60, Clarke, Amer. Journ. Sc. 1884, 28, 20. 61, Varrentrapp, 
 Pogg. Ann. 1839, 48, 189. 62, Tschermak, Akad. Wien 1866, 53, 521. 63, Heddle, 
 Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 64, Gosch per Cooke, Mem. 
 Amer. Acad. Sc., Boston 1874, 35 ; 1875, 453. 65, Schrauf, Groths Zeitschr. 6, 345, 
 383. 66, Wilk, Ofvers Finska Vetensk-Soc. Forhandl. 1868-9, u, 28 ; N. Jahrb. 
 
 1869, 357 ; Groths Zeitschr. 2, 495. 67, Schrauf, Groths Zeitschr. 6, 345, 383. 68, 
 Rammelsberg, Pogg. Ann. 1856, 97, 300. 69, v. Drasche, Tscherm. Mitt. 1873, 126. 
 70, Heddle, Groths Zeitschr. 5, 634. 71, Genth, Proc. Acad. Sc. Philad. 1852, 121. 
 72, Dieffenbach, N. Jahrb. 1855, 534. 73, K. v. Hauer, Sitzber, Akad. Wien, 1855, 
 16, 170. 74, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 
 75, Melville quoted by Lindgren. Proc. Calif. Akad. Sc., 20. Dec. 1887. 76, Kobell, 
 Journ. f. prakt. Chem. 1839, 16, 470. 77, Pearse, Amer. Journ. Sc. 1864, 37, 222. 
 78, Pearse, ibid. 79, Breidenbaugh, Amer. Journ. Sc. 1873, 6, 208. 80, Rammels- 
 berg, Mineralchem. 1875, 493. 81, Field, Phil. Mag. 1878, 5, 52. 82, Schrauf, Groths 
 Zeitschr. 6, 351. 83, Garrett, Amer. Journ. Sc. 1853, 15, 332. 84, Paltauf, Tscherm. 
 Mitt. N. F. 12, Heft 1. 85, Heddle, Groths Zeitschr. 5, 634 ; Hawes, Amer. Journ. 
 Sc. 1875, 9, 451. 86, Hawes, ibid. 87, Liebe, N. Jahrb. 1870, 8. 88, Liebe, N. Jahrb. 
 
 1870, 6, 10. 89, Liebe, ibid. 90, Liebe, N. Jahrb. 1870, 10. 91, Piccard, Kenngotts 
 tubers, min. Forsch. 1863, 203. 92, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths 
 Zeitschr. 5, 631. 93, v. Fellenberg, N. Jahrb. 1868, 746. 94, Liebe, N. Jahrb. 1870, 5. 
 95, Rosam per Serba, Bohm. Ges. Wiss., 15 Jan. 1886. 96, Konig quoted by Genth, 
 Amer. Phil. Soc., 19 Sept. 1873, 13, 413. 97, Konig quoted by Genth, ibid. 98, Woits- 
 chach, Inaug.-Diss., Breslau 1881, 38. 99, Genth, Amer. Phil. Soc. 13, 417. 100, 
 Genth, ibid. 101, P. Keyser quoted by Genth, Amer. Journ. Sc. 1853, 16, 167. 102, 
 P. Keyser, Amer. Journ. Sc. 1854, 18, 411. 103, L. Smith, Amer. Journ. Sc. 1854, 
 18, 376. 104, L. Smith, ibid. 105, Ludwig quoted by Tschermak, Tscherm. Mitt. 
 N. F. 12, Heft 1. 106, L. Smith, Amer. Journ. Sc. 1854, 18, 376. 107, Gintl quoted by 
 v. Zepharovich, Groths Zeitschr. i, 372. 108, Steinmann, Schweigg. Journ. 1821, 
 32, 69. 109, Steinmann, Schweigg. Journ. 1831, 62, 196. 110, Klement, Bull. Mus. 
 Roy. d'hist. nat. de Belg. 1888, 5, 162. Ill, R. v. Zeynek, Sitzber. Akad. Wien, 19 
 Febr. 1891, 100, 38 ; Tscherm. Mitt. N. F. 12, Heft 1. 112, v. Gumbel, Geogn. Beschr. 
 Bay. 1868, 2, 388. 113, Janowsky, Journ. f. prakt. Chem. 1875, JJ, 378. 114, Clarke 
 & Schneider, Amer. Journ. Sc. 1890, 40, 406 ; Groths Zeitschr. 18, 401. 115, Genth, 
 Amer. Journ. Sc. 1859, 28, 250. 116, F. Heddle, Transact. Roy. Soc. Edinb. 29; 
 Groths Zeitschr. 5, 631. 117, F. Heddle, ibid. 118, Obermayer per Tschermak, 
 Tscherm. Mitt. N. F. 12, Heft 1. 119, Pisani, Amer. Journ. Sc. 1866, 41, 394. 120, 
 Chatard per Genth, Amer. Phil. Soc. 1873, 13, 414. 121, Websky, Zeitschr. d. 
 Geol. Ges. 1873, 25, 391. 122, Loretz, Geogn. Beschr. d. Fichtelgebirges 1879, 210, 
 233. 123, Delesse, Ann. min. 1847, 12, 221. 124, Traube, Min. Schles. 1888, 249. 
 125, v. Gumbel, Geogn. Beschr. Bay. 1868, 2, 395. 126, Delesse, Ann. min. 1849, 16, 
 520. 127, Loretz, Geogn. Beschr. d. Fichtelgebirges 1879, 210, 233. 128, Loretz, 
 ibid. 129, K. v. Hauer, Jahrb. Geol. Reichsanst. 16, 505. 130, Sandberger, N. Jahrb. 
 1850, 341. 131, Rammelsberg quoted by Websky, Zeitschr. d. Geol. Ges. 1879, 31, 
 212. 132, C. Schmidt, Groths Zeitschr. n, 600. 133, Erlenmeyer, Kopp & Wills 
 Jahresber. 1860, 773. 134, Erlenmeyer, ibid. 135, Chatard quoted by Genth, Amer. 
 Phil. Soc., 19 Sept. 1873, 13, 413. 136, Chatard quoted by Genth, ibid. 137, Zeynek 
 quoted by Tschermak, Tscherm. Mitt. N. F. 12, Heft 1. 138, K. v. Hauer, Jahrb. 
 Geol. Reichsanst. 5, 337. 139, Suylsteke quoted by Tschermak, Tscherm. Mitt. N. F. 
 12, Heft 1. 140, Klement, Tscherm. Mitt. N. F. i, 365. 141, Damour, Ann. de 
 chim. et phys. 1860, 58, 99. 142, Klement, Tscherm. Mitt. N. F. 12, Heft 1. 143, 
 Genth, Amer. Phil. Soc. 1873, 414. 144, Chatard quoted by Genth, ibid. 145, Chatard 
 quoted by Genth, ibid. 146, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 
 5, 631. 147, Jacobs quoted by Dathe, Zeitschr. d. Geol. Ges. 1887, 39, 505. 148* 
 Rammelsberg, Mineralchem. 1860, 538. 149, F. Heddle, Transact. Roy. Soc. Edinb. 
 
REFERENCES TO ANALYSES 441 
 
 29 ; Groths Zeitschr. 5, 631. 150, Kobell, Journ. f. prakt. Chem. 16, 470. 151, 
 Kobell, ibid. 152, Fellenberg, N. Jahrb. 1868, 746. 153, F. Heddle, Transact. Roy. 
 Soc. Edinb. 29; Groths Zeitschr. 5, 631. 154, Egger, Tscherm. Mitt. 1874, 244. 155, 
 Bock, Inaug.-Diss., Breslau 1868, 4. 156 Igelstrom, Journ. f. prakt. Chem. 1861, 84, 
 480. 157, F. Heddle, Transact. Hoy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 158, 
 Heddle, ibid. 159, Santerson quoted by Eichstadt, Geol. For. Forh. 7, 333 ; Groths 
 Zeitschr. 10, 511. 160, Heddle, Groths Zeitschr. 5, 634. 161, Damour, Ann. min. 
 1857, Jj, 284. 162, Craw, Amer. Journ. Sc. 1852, 13, 222. 163, Craw, ibid. 164, 
 van Riesen quoted by Cohen, Naturw. Ver. Neuvorp. & Riigen, 1886, 77. 165-6, Erd- 
 mann, Ann. min. 1853, 3, 729. 167, Marignac, Ann. de chim. et phys. 1845, 14, 56. 
 168, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 169, Ort- 
 mann, Tscherm. Mitt. N. F. 12, Heft 1. 170, Schlaepfer, N. Jahrb. 1891, j, 8. 171, 
 Neminar, Tscherm. Mitt. 1874, 177. 172, Clarke & Schneider, Groths Zeitschr. 18, 
 401. 173, Hermann, Journ. f. prakt. Chem. 1851, 53, 22. 174, Herzog N. v. Leuchten- 
 berg, Russ. min. Ges. 1866, i, 33 ; Bull. acad. St. Petersb. g, 188. 175, Herzog N. v. 
 Leuchtenberg, ibid. 176, Lagorio, Tscherm. Mitt. N. F. 8, 497. 177, Brun, Groths 
 Zeitschr. 7, 390. 178, Hermann, Journ. f. prakt. Chem. 1847, 40, 15. 179, Pearse, 
 Amer. Journ. Sc. 1864, 37, 222. 180, Hardmann, Proc. Roy. Ir. Acad. 1878, j, 161. 
 181, Wurtz, Sillim. Amer. Journ. 1850, 10, 80; Dana, Min. 1850, 679. 182, Igel- 
 strom, Ofo, Acad. Stockholm 1868, 29 ; Journ. f. prakt. Chem. 104, 463. 183, Loretz, 
 Jahrb. d. preuB. geol. Landesanstalt fur 1884, Berl. 1885, 133. 184, F. Heddle. Transact. 
 Roy. Soc. Edinb. 29 ; Groths Zeitschr. 5, 631. 185, Heddle, Groths Zeitschr. 5, 634. 
 186, Heddle, ibid. 187, Gintl per v. Zepparovich, Tscherm. Mitt. 1874, 7. 188, 
 van Weryecke quoted by Groth, Groths Zeitschr. J, 510. 189, Kommonen, Russ. min. 
 Ges. 1842, 64; Pogg. Ann. 1843, 59, 492. 190, Kommonen, ibid. 191, Hermann, 
 Journ. f. prakt. Chem. 1847, 40, 13. 192, Clarke & Schneider, Groths Zeitschr. 18, 
 401. 193, Herzog N. v. Leuchtenberg, Russ. min. Ges. 1868, 3, 293 ; per Koks- 
 charow, Mat. Min. Rufil. 5, 369. 194, Herzog N. v. Leuchtenberg, ibid. 195 N. v. 
 Zinin, Russ. min. Ges. 1868, 3, 293 ; per Kokscharow, Mat. Min. Rufil. 5, 369. 
 196, N. v. Zinin, ibid. 197, Hermann, Journ. f. prakt. Chem. 1851, 53, 21. 198, 
 Burton quoted by Dana, Min. 1868, 499. 199, Hammerschlag quoted by Tschermak, 
 Tscherm. Mitt. N. F. 12, Heft 1. 200, F. Heddle, Transact. Roy. Soc. Edinb. 29 ; 
 Groths Zeitschr. 5, 631. 201, Delesse, Ann. de chim. et phys. 1843, 9, 396. 202, 
 Struve quoted by Kokscharow, Mat. Min. Rufil. 3, 236. 203, Struve quoted by Koks- 
 charow, ibid. 204, Janowsky, Ber. d. D. chem. Ges. 1873, 1230. 205, Kobell, Journ. 
 f. prakt. Chem. 1839, 16, 470. 208, Varrentrapp, Pogg. Ann. 1839, 48, 189. 207, 
 Flight quoted by Maskelyne, Journ. Chem. Soc. 1871, 9, 9. 208, Penfield & Sperry, 
 Amer. Journ. Sc. 1886, 32, 307. 209, Firtsch, Sitzber. Akad. Wien 1890, 99, 417. 
 210, F. Nies, N. Jahrb. 1873, 321. 211, Smith, Amer. Journ. Sc. 1854, 18, 376. 212, 
 Rammelsberg, Mineralchem. 1860, 851. 213, L. Smith, Amer. Journ. Sc. 1866, 42, 
 91. 214, Flight quoted by Maskelyne, Journ. Chem. Soc. 1871, 9, 9. 
 
 Tourmalines. 
 
 The numbers following the analysts' names are the numbers of their tests as 
 
 described in the following papers : 
 
 Rammelsberg, Pogg. Ann. 1870, 139, 379, 547 ; Mineralchem. 1875, 541. Riggs, 
 Amer. Journ. Sc. 1888, 35, 40. Jannasch & Calb, Ber. d. D. chem. Ges. 1889, 22, 
 219. 1, Rammelsberg 14. 2, Riggs 18. 3, Rammelsberg 31. 4, Rammelsberg 20. 
 
 5, Rammelsberg 13. 6, Scharizer, Groths Zeitschr. 15, 344. 7, Jannasch 7. 8, 
 Riggs 2. 9, Riggs 14. 10, Riggs 15. 11, Cossa, Groths Zeitschr. 7, 14. 12, Jannasch 
 
 6. 13, Riggs 3. 14, Riggs 19. 15, Rammelsberg 21. 16, Riggs 16. 17, Scharizer, 
 Groths Zeitschr. 75, 344. 18, Sommerland quoted by v. Groddeck, Zeitschr. d. GeoL 
 Ges. 1884, 36, 642. 19, Rammelsberg 6. 20, Rammelsberg 28. 21, Riggs 17. 22, 
 Riggs 13. 23, Jannasch 3. 24, Rammelsberg 18. 25, Jannasch 4. 26, Riggs 5. 
 27, Rammelsberg 22. 28, Sauer, Zeitschr. d. Geol. Ges. 38, 704. 29, Rammelsberg 25. 
 30, Rammelsberg 11. 31, Jannasch 9. 32, Rammelsberg 26. 33, Rammelsberg 2. 
 34, Rammelsberg 17. 35, Rammelsberg 23. 36, Riggs 7. 37, Riggs 9. 38, Riggs 8. 
 39, Rammelsberg 5. 40, Engelmann, Inaug.-Diss., Bern 1877. 41, Rammelsberg 27. 
 42, Rammelsberg 19. 43, Rammelsberg 12. 44, Jannasch 5. 45, Gill, Johns Hopkins 
 Univ. Circ. No. 75. 46, Schwartz quoted by v. Groddeck, Zeitschr. d. Geol. Ges. 1887, 
 39, 238. 47, Rammelsberg 3. 48, Rammelsberg 4. 49, Rammelsberg 1. 50, Ram- 
 melsberg 15. 51, Rammelsberg 7. 52, Rammelsberg 22. 53, Riggs 4. 54, Scharizer, 
 Groths Zeitschr. 75, 344. 55, Rammelsberg 24. 56, Rammelsberg 9. 57, Rammels- 
 
442 REFERENCES TO ANALYSES 
 
 berg 10. 58, Rammelsberg 29. 59, Riggs 10. 60, Rammelsberg 8. 61, Rammelsberg 
 33. 62, Jannasch 1. 63, Riggs 12. 64, Riggs 11. 65, Rammelsberg 16. 66, Jan- 
 nasch 2. 67, Riggs 20. 68, Rammelsberg 32. 69, Riggs 6. 
 
 Felspars. 
 
 1, F. Heddle, Trans. Roy. Soc. Edinb. 1877, 28, 197 ; Min. Soc. Lond. 1881, 4, 
 197. 2, Raimondi, Min. Perou 1878, 309. 3, Deville, Ann. de chim. et phys. 1854, 
 40, 283. 4, Delesse, Ann. de chim. et phys. 1848, 24. 5, F. Heddle, Trans. Roy. Soc. 
 Edinb. 1877, 28, 197 ; Min. Soc. Lond. 1881, 4, 197 ; Groths Zeitschr. 2, 651 ; 7, 190. 
 6, G. v. Rath, Niederrh. Ges., Bonn 1869, 108 ; Pogg. Ann. 1869, 138, 464 ; 1871, 
 Erg.-Bd. 5, 431. 7, Kersten, Journ. f. prakt. Chem. 1846, 37, 174. 8, Kersten, N. 
 Jahrb. 1845, 653. 9, Des Cloizeaux, Bull. soc. min. Paris 1884, 7, 255. 10, Erdmann. 
 Min. 1853, 326. 11, Bothe quoted by G. v. Rath, Trach. Siebengeb., Bonn 1861, 14. 
 12, Laurent, Ann. de chim. et phys. 59, 108. 13, J. L. Smith per Genth, Min. 
 N. C. 1891, 55. 14, K6nig, Zeitschr. d. Geol. Ges. 1868, 20, 374. 15, F. Heddle, Trans. 
 Roy. Soc. Edinb. 1877, 28, 197 ; Min. Soc. London 1881, 4, 197 ; Groths Zeitschr. 2, 
 651 ; 7, 190. 16, Schnorf quoted by v. Fritsch, Kenngott, Ubers. min. Forsch. 1862-5, 
 191. 17, Merian, N. Jahrb. 1885, Beil.-Bd. 3, 296. 18, Kemp, Ann. Journ. So. 1888, 
 36, 247. 19, Struve, Kenngott, tJbers. min. Forsch. 1862-5, 190. 20, Struve, Ram- 
 melsberg, Mineralchem. 1875, 569. 21, Duparc per Fouque, Bull. soc. Paris 
 1894, 17, 360. 22, BrSgger & Reusch, Zeitschr. d. Geol. Ges. 1875, 27, 676. 23, 
 Fellner, Verh. d. Geol. Reichsanst. 1867, 770, 286. 24, G. v. Rath, Zeitschr. d. 
 Geol. Ges. 1895, 27, 328; Pogg. Ann. 1875, 155, 65; N. Jahrb. 1875, 397. 25, 
 G. v. Rath, Nat.-hist. Ver. Bonn 1875, Korr.-Bl. 95. 26, Petersen, Groths 
 Zeitschr. 9, 394. 27, Haughton, Qu. Journ. geol. Soc. 1862, 18, 403 ; Rep. Brit. 
 Assoc. 1863, 55. 28, Jackson, Amer. Journ. Sc. 1866, 42, 107. 29, Hunt, Amer. 
 Journ. Sc. 1864, 38, 97, 180. 30, F. Heddle, Trans. Roy. Soc. Edinb. 1877, 
 28, 197 ; Min. Soc. Lond. 1881, 4, 197 ; Groths Zeitschr. '2, 651 ; 7, 190. 31, 
 Jackson, Amer. Journ. Sc. 1866, 42, 107. 32, Streng, N. Jahrb. 1867, 537. 33, 
 Des Cloizeaux, Bull. soc. min. Paris 1884, 7, 255. 34, Resales, Pogg. Ann. 1842, 
 55, 109. 35, Konig, Zeitschr. d. Geol. Ges. 1868, 20, 372. 36, Haughton, Phil. 
 Mag. 1870, 40, 59. 37, Pisani, Bull. soc. Paris 1885, 8, 6. 38, Siemiradzki, N. Jahrb. 
 1886, Beil.-Bd. 4, 209. 39, Fellner, Verh. d. Geol. Reichsanst. 1867, 770, 286. 40, 
 Scheerer, Pogg. Ann. 1845, 64, 153. 41, G. v. Rath, Pogg. Ann. 1872, 147, 277. 42, 
 G. v. Rath, Niederrh. Ges., Bonn 1875, 60 ; Zeitschr. d. Geol. Ges. 1875, 27, 331 ; 
 N. Jahrb. 1875, 397, Pogg. Ann. 755, 65. 43, Des Cloizeaux, Bull. soc. min. Paris 
 1884, 7, 277. 44, Berzelius, Arsber. 1824, 4, 147 ; 1839, ig, 302. 45, G. v. Rath, 
 Berl. Akad. 1876, 164 ; N. Jahrb. 1876, 706. 46, Haughton, Phil. Mag. 1870, 40, 59. 
 47, Hunt, Amer. Journ. Sc. 1864, 38, 97, 180. 48, Fouque, N. Jahrb. 1876, 66. 49, 
 F. Heddle, Trans. Roy. Soc. Edinb. 1877, 28, 197 ; Min. Soc. Lond. 1881, 4, 197 ; Groths 
 Zeitschr. 2, 651 ; 7, 190. 50, Delesse, Ann. de chim. et phys. 1850, 30, 81 ; Bull, 
 soc. geol. 7, 528. 51, Delesse, N. Jahrb. 1851, 169. 52, F. Heddle, Trans. Roy. Soc. 
 Edinb. 1877, 28, 197 ; Min. Soc. Lond. 1881, 4, 197 ; Groths Zeitschr. 2, 651 ; 7, 190. 
 53, v. Giimbel, Beschr. Bay. 1868, 2, 344. 54, G. v. Rath, Pogg. Ann. 1871, 144, 256. 
 55, Delesse, Ann. mines 1849, 16, 362 ; 1851, ig, 149. 56, Penfield & Sperry, Amer. 
 Journ. Sc. 1887, 34, 390. 57, G. Rose, Reise 1837, J, 144 ; 1842, 2, 511 ; Pogg. Ann. 
 1841, 52, 470. 58, F. Heddle, Trans. Roy. Soc. Edinb. 1877, 28, 197. 59, Compt. 
 rend. 1844, 19, 46. 60, Delesse, ibid. 61, Wollemann, Groths Zeitschr. 14, 625. 62, 
 Hebenstreit, Groths Zeitschr. 2, 103. 63, Seneca, Beschr. Bad. 1861, 62. 64, Fouque, 
 Compt. rend. 19, 46. 65, Pisani, Bull. soc. Paris 1894, 17, 369. 66, G. v. Rath, Pogg. 
 Ann. 1871, 144, 20. 67, G. v. Rath, Pogg. Ann. 1871, 144, 235 ; Niederrhein. Ges., 
 Bonn 1871, 16, 78. 68, Lemberg, Zeitschr. d. Geol. Ges. 1887, 39, 569. 69, G. v. 
 Rath, Pogg. Ann. 1872. 147, 275. 70, F. Heddle, Trans. Roy. Soc. Edinb. 1877, 28, 
 197 ; Min. Soc. Lond. 1881, 4, 197 ; Groths Zeitschr. 2 f 651 : 7, 190. 71, Delesse, 
 Compt. rend. 1844, ig, 46 : Zeitschr. d. Geol. Ges. 1853, 5, 687. 72, Hagen, Pogg. 
 Ann. 1838, 44, 329. 73, Kerndt, Journ. f. prakt. Chem. 1848, 43, 214. 74, Smith & 
 Brush, Amer. Journ. 1853, 15, 211 ; 16, 44. 75, Pisani, Bull. soc. Paris 1885, <, 6. 
 76, Kersten, N. Jahrb. 1845, 653. 77, Rocholl quoted by Rammelsberg, Mineralchem. 
 1875, 575. 78, Streng, N. Jahrb. 1867, 537. 79, Fouque, Bull. soc. min. Paris, 1894 
 J7, 363. 80, Bonsdorff, Moberg per Rammelsberg, Mineralchem. 1875, 574. 
 81, Deville, Bull. soc. geol. 1848-9, 6, 410. 82, K. v. Hauer, Verh. d. Geol. Reichsanst. 
 1867, 58, 14, 144; 1869, 12, 51; 1867, 146, 12, 13, 118, 60, 354, 119. 83, Delesse, 
 Ann. min. 1847, 12, 258. 84, Domeyko, Min. 1879, 562-5. 85, Thomson, Phil. Mag. 
 
REFERENCES TO ANALYSES 443 
 
 1843, 22, 190. 86, Delesse, Ann. min. 1847, 12, 256. 87, Sartorius v. Waltershausen, 
 Vulk. Gest. 1853, 34. 88, Segeth, Bull. sc. Petersburg 1040, 7, 25 ; Journ. f. prakt. 
 Chem. 1840, 20, 253. 89, Siemiradzki, N. Jahrb. 1886, Beil.-Bd. 4, 223. 90, B. Koto, 
 Groths Zeitschr. 13, 179. 91, K. v. Hauer, Verb. d. Geol. Reichsanst. 1867, 58, 14. 144 ; 
 1869, 12, 51 ; 1867, 146, 12, 13, 118, 60, 354, 119. 92, Mattirolo quoted by Cossa, 
 Groths Zeitschr. 7, 629. 93, Behr quoted by Benecke-Cohen, Umgeg. Heidelberg 1881, 
 139. 94, Delesse, Ann. min. 1849, 16, 513. 95, Hunt, Erdm. Journ. 1855, 66, 149 ; 
 Geol. Surv. Can. 1857, 357 : 1863, 478. 96, G. v. Rath, Pogg, Ann. 1871, 
 144, 247. 97, Swiatkowsky quoted by Benecke-Cohen, Umgeg. Heidelberg 1881, 
 139. 98, Tschermak, Akad. Wien 1864, 50, 586. 99, Klement, Tscherm. Mitt. 
 N. F. i, 366. 100, Lehunt, Ed. N. Phil. Journ. 1832, 86. 101, Zittel, N. Jahrb. 
 1866, 641. 102, Doelter, Tscherm. Mitt. 1874, 15; 1873, 62. 103. Delter, ibid. 
 104, Doelter, ibid. 105, G. v. Rath, N. Jahrb. 1875, 397, jPogg. Ann. 155, 65 ; 
 Zeitschr. d. Geol. Ges. 27, 332. 106, Doelter, Tscherm. Mitt. 1873, 62 ; 1874, 
 15. 107, Doelter, ibid. 108, G. v. Rath, Niederrh. Ges., Bonn 1873, 231 ; Monatsber. 
 d. Berl. Akad. 1874, 26 ; Pogg. Ann. 1874, 152, 39 ; 1875, 155, 64 ; Zeitschr. d. Geol. 
 Ges. 1875, 27, 302-24. 109, G. v. Rath, Pogg. Ann. 1873, Erg.-Bd. 6, 380. 110, 
 E. E. Schmid, Pogg. Ann. 1863, ng, 188. Ill, Sartorius v. Waltershausen, Vulk. 
 Ges. 953, 24. 112, Abich, Pogg. Ann. 1840, 50, 347. 113, Ricciardi, Gazz. chim. 
 ital. 1881, 138. 114, Sartorius v. Waltershausen, Vulk. Ges. 1853, 34. 115, Hunt, 
 Amer. Journ. Sc. 1864, 38, 177. 116, Streng, Zeitschr. d. Geol. Ges. 1858, 10, 135, 
 Berg- u. Hiittenm. Ztg. 1861, 20, 265. 117, Jannasch, N. Jahrb. 1884, 2, 42. 118, 
 Williams, N. Jahrb. 1887, Beil.-Bd. 5, 417. 119, Dulk per Rammelsberg. Mineral- 
 chem. 1875, 564, Nr. 9. 120, K. v. Hauer, Verh. d. Geol. Reichsanst. 1867, 58, 14, 
 144; 1869, 12, 51; 1867, 146, 12, 13, 118, 60, 354, 119. 121, Hunt, Erdm. Journ. 
 1855, 66, 149 ; Geol. Surv. Can. 1857, 357 ; 1863, 478. 122, Domeyko, Min. 1879, 
 562-5. 123, Klement, Groths Zeitschr. 18, 529. 124, Wilk, Groths Zeitschr. 7, 77. 
 125, Deville. Bull. soc. geol. 1848, 1849, 6, 410. 126, Hunt, Erdm. Journ. 1855, 66, 
 149 ; Geol. Surv. Can. 1857, 357 ; 1863, 478. 127, Hunt, ibid. 128, Rammelsberg, 
 Mineralchem., 5 Suppl., 1853, 48. 129, Hunt, Erdm. Journ. 1855, 66, 149 ; Geol. 
 Surv. Can. 1857, 357 ; 1863, 478. 130, Bonsdorff & Laurell, Vet. Akad. 1876, 169. 
 131. G. v. Rath, Pogg. Ann. 1871, 144, 245. 132, Lemberg, Zeitschr. d. Geol. Ges. 
 1888, 40, 645. 133, Wilk, Groths Zeitschr. n, 315. 134, Hunt, Erdm. Journ. 1855, 
 66, 149 ; Geol. Surv. Can. 1857, 357 ; 1863, 478. 135, Payne quoted by Dana, Min. 
 1892, 337, 336. 136, G. v. Rath, Niederrh. Ges., Bonn 1873, 231 ; Monatsb. d. Berl. 
 Akad. 1874, 26 : Pogg. Ann. 1874, 152, 39 ; 1875, J55, 64 ; Zeitschr. d. Geol. Ges. 
 1875, 27, 302-24. 137, Laspeyres, Zeitschr. d. Geol. Ges. 1866, 18, 193. 138, G. v. 
 Rath, Niederrh. Ges., Bonn 1873, 231 ; Monatsb. d. Berl. Akad. 1874, 26 ; Pogg. Ann. 
 
 1874, 152, 39 ; 1875, 155, 64 ; Zeitschr. d. Geol. Ges. 1875, 27, 302-24. 139, Maly, 
 Sitzb. Ak. Wien 1885, gi, 65. 140, Laurell, Vet. Akad. Handl. Stockh. 1853, 14. 
 141, Heddle, Trans. Roy. Soc. Edinb. 1877, 28, 197 ; Groths Zeitschr. 2, 654. 142, 
 Williams, N. Jahrb. 1887, Beil.-Bd. 5, 417. 143, Tschermak, Min. Mitt. 1874, 269 ; 
 
 1875, 41. 144, Hofer, N. Jahrb. 1871, 128. 145, Hofer, ibid. 146, Deville, Bull. 
 soc. geol. 1848-9, 6, 410. 147, Lemberg, Zeitschr. d. Geol. Ges. 1870, 22, 337, 342, 
 361. 148, Jewreinow, Berg- u. Hiittenm. Ztg. 1853, 7, 196. 149, Clarke quoted by 
 Kum, Amer. Journ. Sc. 1888, 36, 222. 150, Knop, Kaiserst. 1892, 101. 151, Heddle, 
 Trans. Roy. Soc. Edinb. 1877, 28, 197 ; Groths Zeitschr, 2, 654. 152, Haushofer, 
 Groths Zeitschr. 3, 602. 153, Haughton, Qu. Journ. geol. soc. 1862, 18, 403 ; Rep. 
 Brit. Assoc. 1863, 55. 154, Koch, Tscherm. Mitt. 1877, 330. 155, Lory, Bull. soc. 
 geol. 1849-50, 7, 542. 156, Lory, ibid. 157, Keller quoted by Genth, Amer. Phil. 
 Soc., 2 Oct. 1885. 158, Streng, N. Jahrb. 1867, 537. 159, Hunt, Erdm. Journ. 1855, 
 66, 149 ; Geol. Surv. Can. 1857, 357 ; 1863, 478. 160, Wedel, Jahrb. d. Geol. Landesans 
 1890. 161, Delesse, Ann. min. 1853, 3, 374. 162, Chatard per Genth, Amer. Phil. 
 Soc. 1873, 13, 397 ; Min. N. C. 1891, 55. 163, Delesse, Ann. Min. 1848, 13, 675 ; 
 1853, 3, 374. 164, K. v. Hauer, Verh. d. Geol. Reichsanst. 1867, 58, 14, 144 ; 1869, 
 12, 51 ; 1867, 146, 12, 13, 118, 60, 354, 119. 165, Abich, Pogg. Ann. 1840, 51, 523. 
 166, Dirvell, Bull. soc. min. Paris 1884, 7, 329. 167, Foullon quoted by Schuster, Jahrb. 
 d. Geol. Reichsanst., Wien 1887, 37, 219. 168, G. v. Rath, Niederrh. Ges., Bonn 1873, 
 231 ; Monatsber. d. Berl. Akad. 1874, 26 ; Pogg. Ann. 1874, 152, 39 ; 1875, 755, 64 ; 
 Zeitschr. d. Geol. Ges. 1875, 27. 302-24. 169, Chatard quoted by Genth, Amer. Phil. 
 Soc., 19 Sept. 1873, 13, 397. 170, Delesse, Ann. min. 1848, 13, 675. 171, Hunt, Amer. 
 Journ. Sc. 1864, 38, 180, 197. 172, Petersen, N. Jahrb. 1874, 270. 173, G. v. Rath, 
 Zeitschr. d. Geol. Ges. 1875, 27, 325 ; Pogg. Ann. 155, 65 ; N. Jahrb. 1875, 397. 174, 
 Des Cloizeaux, Bull. soc. min. Paris 1884, 7, 255. 175, Delesse, Ann. min. 1848, 13, 
 
444 REFERENCES TO ANALYSES 
 
 675. 176, Chrustschoff, Compt. rend. 1891, 112, 1070. 177, Glocker, Fogg. Ann. 
 1844, 61, 385 ; Journ. f. prakt. Chem. 1845, 34, 494 ; Synops Min. 1847, 143. 178, 
 Rammelsberg, Mineralchem., 5 Suppl., 1853, 48. 179, G. v. Rath, Niederrh. Ges., 
 Bonn 1873, 231 ; Monatsber. d. Berl. Akad. 1874, 26 ; Pogg. Ann. 1874, 152, 39 ; 
 1875, J55, 64 ; Zeitschr. d. Geol. Ges. 1875, 27, 302-24. 180, Goldschmidt, N. Jahrb. 
 1881, Beil.-Bd. i, 207. 181, Goldschmidt, ibid. 182, K. v. Hauer, Verh. d. Geol. 
 Reichsanst. 1867, 58, 14, 144 ; 1869, 12, 51 ; 1867, 146, 12, 13, 118, 60, 354, 119. 183, 
 Franke per Rammelsberg, Mineralchem. 1860, 609. 184, Heddle, Trans. Roy. 
 Soc. Edinb. 1877, 28, 197 ; Groths Zeitschr. 2, 654. 185, K. v. Hauer, Verh. d. Geol. 
 Reichsanst. 1867, 58, 14, 144; 1869, 12, 51; 1867, 146, 12, 13, 118, 60, 354, 119. 
 186, Jacobson quoted by Rammelsberg, Mineralchem. 1860, 606. 187, Varrentrapp 
 quoted by G. Rose, Pogg. Ann. 52, 465. 
 
NAME INDEX 
 
 Abegg & Bodlander, 266, 267 
 
 Abich, 421, 425 
 
 Albrecht, 230, 233 
 
 Alexander, 234 
 
 Allen & Shepherd, 158, 162, 170, 175, 305, 
 
 320 
 
 Ammon, v., 367 
 Apfelstadt, 206, 207, 233 
 Armstrong, 259, 266, 267, 311 
 Arrhenius, 229, 266, 326 
 Arzruni, 282, 292 
 Asch, D., 16, 235, 241 
 Asch, W., 16, 97, 235, 322 
 Asch, W., & Asch, D., 216, 235 
 Ascher, 199 
 
 Aston ; see Ramsay & Aston 
 Atterberg, 134 
 Azakawa, 223 
 
 B 
 
 Baeyer, Ad. v., 281, 311 
 
 Baeyer & Villiger, 278 
 
 Baldus, 230, 235 
 
 Baltzer, 367 
 
 Becke, 281, 284, 285, 307 
 
 Becquerel, H., 274 
 
 Behr, 419 
 
 Behring, 223, 224 
 
 Bel, Le, 281, 314 
 
 Bemmelen, J. M. van, 70 
 
 Benrath, 236 
 
 Berg, 380 
 
 Bergemann, 3, 380 
 
 Berlin, 376 
 
 Berthelot, 269 
 
 Berthier, 236 
 
 Berthollet, 293, 302-304 
 
 Berzelius, 3, 6, 10, 48, 270, 353, 358, 413, 
 
 415 
 
 Biel, 232 
 Biot, 312 
 
 Birch-Hirschfetd, 234 
 Bischof, C., 107, 113, 124, 126, 127, 128, 
 
 129, 131, 428, 430, 431 
 Black, 221, 225 
 Blank, 234 
 Blau, 369 
 
 Blomstrand, 17, 19, 21, 98, 257, 321 
 Blythe, 371 
 Bock, 399 
 
 Bodlander ; see Abegg & Bodlander 
 Bodecker, 4, 6 
 Boke, 234 
 
 Bois Reymond, 326 
 
 Bombicci, 6, 11 
 
 Bomstein, 223 
 
 Bonsdorff, 4, 6, 362, 419 
 
 Bonsdorff & Laurell, 423 
 
 Boricky, 373, 389 
 
 Bothe, 413 
 
 Bousfield, 259 
 
 Brandhorst & Kraut, 102 
 
 Braun, J. v., 277 
 
 Brauns, 6, 285, 312, 314, 315, 316 
 
 Bravais, 285, 289, 316 
 
 Bredig, 270 
 
 Breidenbaugh, 393 
 
 Breidenstein, 356 
 
 Breunlin, 136 
 
 Brewster, 312 
 
 Brogger, 9 
 
 Bromeis, 365, 373 
 
 Brongniart & Malaguti, 108 
 
 Brown, 292 
 
 Bruck, 230, 233 
 
 Briiel, 385 
 
 Bruhl, 312 
 
 Brun, 401 
 
 Brunner, 136 
 
 Brush, 371 
 
 Brush ; see Smith & Brush 
 
 Biichner, 136, 434 
 
 Bullouin, M., 283 
 
 Burton, 403 
 
 Buttlerow, 271 
 
 Calb ; see Jannasch & Calb 
 
 Caldwell, R. J., 266, 267 
 
 Candelot, E., 196 
 
 Carrara & Vespignani, 228 
 
 Chatard, 367, 371, 387, 397, 399, 425 
 
 Chatelier, H. Le, 110, 157, 158, 163, 164, 
 
 196, 197 
 
 Chatoney & Rivot, 156, 163, 164 
 Chrustschoff, 427 
 
 Clarke, 4, 6, 9, 23, 26, 27. 28, 65-70, 296 
 Clarke & Schneider, 387, 395, 401, 403 
 Claus, 309, 310 
 Cobb, J. W., 162 
 Cleef, van, 262 
 Coehn, 278 
 Cohen, 367 
 Collie & Tickle, 278 
 Cooke, W. F., 266, 267, 371 
 Cossa, 369, 371, 406 
 Crawe, 365 
 Croly, de, 223 
 
 445 
 
446 
 
 NAME INDEX 
 
 Cronquist, 430 
 Crossley, 367, 374 
 Curie, 274 
 
 D 
 
 Dalkuhara, 7 
 
 Dalton, J., 304 
 
 Dammer, 96 
 
 Damour, 4, 65, 66, 70, 72, 77, 358, 361, 
 
 362, 374, 399 
 Dana, A. G., 354 
 Darapsky, 358 
 Davis & Fowler, 229 
 Debray, 101 
 Decaisne, 234 
 Delesse, 361, 369, 373, 397, 403, 413, 415, 
 
 417, 419, 421, 425, 427 
 Delter, 421 
 
 Desch, C. H., 113, 159, 162, 178, 253, 319 
 Detzner, 230 
 Deval, 198 
 
 Deville, 411, 419, 423 
 Dewey, 371 
 Diamant, 311 
 Dieffenbach, 391 
 Dirvell, 413, 415, 425, 427 
 Dobereiner, 3 
 Dollken, 226 
 Doelter, 11, 47, 70, 284 
 Domeyko, 419, 421 
 Donnan, 229 
 Donnell, M., 387 
 Drasche, v., 355 
 Dreschfeld, 202 
 Dulk, 421 
 Dumas, 236 
 Du-Bois-Reymond, 326 
 Dupare, 413 
 Durscher, 358 
 
 E 
 
 Ebell ; see Knapp & Ebell 
 
 Egger, 399 
 
 Ehrlich, P., 222, 223, 224, 225, 323 
 
 Eisner, 136, 151 
 
 Engelmann, 408 
 
 Erdmann, 361, 401 
 
 Erdmenger, 157, 163, 164 
 
 Erlenmeyer, 257, 324, 397 
 
 Escher, 230 
 
 Euler, 266, 267 
 
 Eykmann, 259 
 
 Federow, v., 312 
 
 Fehling, 435 
 
 Feichtinger, 154, 178, 183-188, 190, 434, 
 
 435, 436 
 Feiler, 230, 232 
 Fellenberg, v., 387, 393, 399 
 Fellner, 413, 415 
 Feret, 158 
 
 Fermi & Pernossi, 223 
 Ficinus, 373 
 
 Field, 393 
 
 Filippi. de F., 316 
 
 Finkener, 100, 102 
 
 Firtsch, 405 
 
 Fischer, E., 224, 271, 281 
 
 Fischer, E., & Passmore, F., 271 
 
 Fischer, F., 237, 254, 434, 435 
 
 Fletcher, T., 199, 200 
 
 Flett, 134 
 
 Flight, 405 
 
 Fock, 281, 283, 284, 285, 299 
 
 Forster, 241 
 
 Forchhammer, 108 
 
 Fouque, 415, 417, 419 
 
 Fowler ; see Davis & Fowler 
 
 Francis, 417 
 
 Franke, 427 
 
 Frankenheim, 285, 289, 316 
 
 Freinkel ; see Kehrmann & Freinkel 
 
 Fremery, 17 
 
 Fremy, 4, 155, 193 
 
 Fremy ; see Pelouze & Fremy 
 
 Freund, 231 
 
 Friedel, G., 45, 72, 257 
 
 Friedheim, 17-22, 81-87, 93, 94, 225, 321 
 
 Fuchs, 154-157, 176, 193, 380 
 
 Fuchs & Gehlen, 357, 359 
 
 Fullon, v., 362, 425 
 
 G 
 
 Galbraith, 373 
 
 Gans, 210, 211 
 
 Garret, 393 
 
 Gehlen ; see Fuchs & Gehlen 
 
 Genth, 369, 385, 391, 395, 399 
 
 Gerhardt, 48, 230 
 
 Geuther, 293 
 
 Gibbs, W., 15, 96, 100-102, 221 
 
 Gill, 408 
 
 Gintl, 395, 403 
 
 Gittelson, 265 
 
 Giwartowsky, 380 
 
 Glan, P., 228 
 
 Gluhmann, 269 
 
 Gmelin, 136, 146, 150, 322 
 
 Gmelin-Kraut, 256 
 
 Goldschmidt, V., 6, 11, 282 
 
 Golowkinski, 4 
 
 Gomberg, 276, 278 
 
 Gooch, 385, 391 
 
 Gorgeu, 24 
 
 Grabe, 246 
 
 Grandeau, 382 
 
 Grauer, 196 
 
 Graw, 401 
 
 Greve, 234 
 
 Groger, M., 242, 243 
 
 Groth, P., 6, 9, 27-29, 282, 283, 292, 294, 
 
 309, 313, 314 
 Griinzweig, G., 433 
 
 Guckelberger, 137, 138, 151, 322, 431-434 
 Giimbel, v., 395, 397, 417 
 Gunzert, 230 
 
NAME INDEX 
 
 447 
 
 H 
 
 Hagen, 417 
 
 Haidinger, 316 
 
 Hamberg, 387 
 
 Hamm, v., 387 
 
 Hammerschlag, 403 
 
 Hantzsch, 266, 267, 276, 278 
 
 Hantzsch ; see Werner and Hantzsch 
 
 Hallopeau, 270 
 
 Hardmann, 401 
 
 Hardt, 156, 157 
 
 Hartwall, 378, 385 
 
 Hartwall & Herdberg, 378 
 
 Hata, 224 
 
 Hauer, K. v., 371, 373, 393, 397, 399, 419 
 
 421, 425, 427 
 
 Haughton, 373, 413, 415, 425 
 Haushofer, 5, 28, 425 
 Hautefeuille, 24, 292 
 Hauy, 293, 317 
 Hawes, 393 
 Hebenstreit, 417 
 
 Heddle, 354, 356, 358, 360, 373, 378 385 
 387, 389, 391, 393, 397, 399, 401, 403 ? 
 411, 413, 415, 417, 423, 425, 427 
 Heinsheimer, 230, 234 
 Heldt, 156, 163 
 Henry, C., 71 
 Hentze, 230, 233 
 
 Herdberg ; see Hartwall and Herdberg 
 Hermann, 311, 354, 360, 362, 374 376 
 
 378, 380, 385, 401, 403 
 Hersch, 66 
 Herz, M., 283 
 
 Herzog, N. v. Leuchtenberg, 401, 403 
 Heumann, 137, 147-150, 322, 431, 432 
 Heydweiller; see Kohlrausch & Heyd- 
 
 weiller 
 
 Higgin, A. J., 266, 267 
 Hilger, 367 
 Hillebrand, 353 
 Hintze, 48, 61 
 Hirschfeld, 234 
 Hofer, 423 
 Hoff, van't, 266, 278, 281, 284, 307 315 
 
 326 
 
 Hoffmann, 146, 322, 415, 427 
 Hoffmann, A. W., 434 
 Hoffmann, O., 208 
 
 Hoffmann, R., 137, 138, 147, 152, 322 433 
 Hoppe-Seyler, 271 
 Horstmann, 230, 312 
 Hovestadt, 254 
 How, 358 
 
 Howe ; see Penfield & Howe 
 Hundeshagen, 102, 212 
 Hunt, 283, 358, 374, 378, 380, 385, 387 
 
 389, 415, 419, 421, 423, 425 
 Hunt, St., 4 
 Hunter, J., 303 
 
 Igelstrom, 365, 371, 399, 401 
 
 Jackson, 360, 413, 415 
 
 Jacobs, 399 
 
 Jacobson, 427 
 
 Jannasch, 54, 296, 391, 410, 421 
 
 Jannasch & Calb, 404, 406, 408, 410 
 
 Jannasch & Locke, 54 
 
 Jannetaz, 378, 415 
 
 Janowsky, 395, 403 
 
 Jantsch, 131 
 
 Jantzen, 170 
 
 Jewrechow, 373, 425 
 
 Jex, 157, 163, 164 
 
 Jochum, 113 
 
 Jorgensen, 257 
 
 Johnson, A., 70 
 
 Jones, 266, 267 
 
 Jordis & Kanter, 158, 163 
 
 Jung, 205, 206, 208 
 
 K 
 
 Kanter ; see Jordis & Kanter 
 
 Karewski, 234 
 
 Kaul, H., 430 
 
 Kehrmann, 17, 20, 99, 102, 278, 321 
 
 Kehrmann & Freinkel, 20, 101 
 
 Kekule, 272, 310, 311 
 
 Keller, 425 
 
 Kemp, 413 
 
 Kerndt, 417 
 
 Kersten, 413 
 
 Keyser, 234, 395 
 
 Kiepenheuer, 382 
 
 Killing, 371 
 | Kitasato, 223 
 i Klaproth, 3 
 
 Klein, 96, 97 
 
 Klein, C., 317 
 
 Klement, 395, 399, 421, 423 
 
 Klemm, 353 
 
 Klocke, 312 
 
 Knapp, 174, 175 
 
 Knapp & Ebell, 150 
 
 Knoblauch, 228, 276 
 
 Knop, 14, 367, 425 
 
 Knorr, A., 223 
 
 Kobell, 358, 361, 367, 373, 385, 393, 395 
 
 399, 403 
 Koch, 425 
 Koch, E., 143 
 Koch, Robert, 223 
 Koch & Uhlenhut, 224 
 Konig, 367, 369, 371, 373, 395, 413, 415 
 Kohlrausch, 241, 269 
 Kohlrausch & Heydweiller, 260 
 Kohlschiitter, V., 257, 266 
 Kolbe, 270 
 Komonen, 403 
 Kosmann, 157, 163, 164 
 Kostanecki ; see Liebermann, C., & St. 
 
 Kostanecki 
 Koto, 419 
 Kraut ; see Brandhorst & Kraut 
 
448 
 
 NAME INDEX 
 
 Kressler, 136 
 
 Kruss, G., & S. Oeconomides, 143 
 
 Kulka, 202-206, 232 
 
 Kuntze, O., 261 
 
 Lacroix, 374 
 
 Ladenburg, 310, 311 
 
 Lagorio, 401 
 
 Lagus & Olckonon, 376 
 
 Landrin, 164 
 
 Lardin, 234 
 
 Lartschneider, 231, 233 
 
 Lasaulx, v., 292 
 
 Laspeyres, 354, 355, 371, 423 
 
 Laurell ; see Bonsdorff & Laurell 
 
 Laurent, 4, 413 
 
 Lawrow, 4 
 
 Le Bel, 281, 314 
 
 Le Blanc & Noyes, 270 
 
 Le Chatelier, 157, 158, 163, 196, 197 
 
 Leduc, 163 
 
 Leeds, 380, 389 
 
 Lehmann, O., 294, 317 
 
 Lehunt, 371, 421 
 
 Lemberg, 11, 25, 29, 39-44, 47, 56, 57, 59, 
 
 340-352, 358, 369, 376, 380, 417, 423, 
 
 425 
 
 Levy, M. ; see Fouqe & M. Levy 
 Ley, H., 229, 260 
 Liebe, 387, 389, 393 
 Liebermann, C., 246 
 Liebermann, C., & St. Kostanecki, 225 
 Liebig, 270 
 List, 391 
 
 Locke ; see Jannasch & Locke 
 Loebell, 435 
 Low, 223 
 Loew, O., 271 
 Loretz, 389, 397 
 Lory, 425 
 
 Lossen & Zander, 312 
 Lowry, 259, 266, 267 
 Ludwig, 129, 163, 164, 355, 387, 395 
 Luedecke, 356 
 Lunge, 160, 171 
 
 M 
 
 Mach, 100 
 
 Malaguti ; see Brongniart & Malaguti 
 Mallard, 11, 70, 292, 312, 314 
 Mallet, 371 
 Maly, 423 
 Manchot, 273, 320 
 Manchot & Reiser, 111, 272 
 Marignac, 94, 95, 96, 97, 241, 269, 387, 
 
 389, 391, 401 
 Marsh, 356, 358 
 Marx, 230 
 Massalin, 369 
 Masur, A., 232 
 Mattirolo, 419 
 Maumene, 254 
 Mauthner, 354 
 
 Mellor & Holdcroft, 6, 29, 107, 110, 111, 
 112, 113, 119, 120, 121, 122, 123, 128 
 
 Melville, 393 
 
 Mene, C., 106 
 
 Merian, 413 
 
 Merz, 387 
 
 Metschnikoff, 223 
 
 Meyer, A., 163, 164 
 
 Meyer, E. v., 282 
 
 Meyer-Mahlstadt, 157 
 
 Meyer, R., 311 
 
 Meyer, V., 272 
 
 Michaelis, 17, 132, 156, 160, 163, 164, 175, 
 178, 186, 196 
 
 Miller, 200, 221, 232 
 
 Minor ; see Penfield & Minor 
 
 Mitscherlich, 4, 293, 294, 316, 323 
 
 Morgenstern, 199, 202-206, 218 
 
 Moroziewicz, 23 
 
 Morveau, Guy ton, 136 
 
 Miiller. 368, 373 
 
 Muir, 382 
 
 Muthmann, 307, 308 
 
 Mylius & Foster, 237 
 
 N 
 
 Nanke, 354 
 Nef, 276 
 Neminar, 401 
 Nernst, 228, 229, 266, 276 
 Newberry Bros., 157, 163, 164 
 Nietzki, R., 142, 143, 146 
 Nordenskiold, 376, 378 
 Noyes ; see Le Blanc & Noyes 
 
 Obermayer, 397 
 
 Odling, 4, 6 
 
 Oeconomides, S., 143 
 
 Ohl, A., 427 
 
 Olckonon ; see Lagus & Olckonon 
 
 Oppenheim, 256 
 
 Oppler, 235 
 
 Ortmann, 401 
 
 Ostwald, Wilhelm, 16, 24, 178, 187, 188, 
 
 227, 228 
 Ottolenguis, 232 
 
 P., J.J., 319 
 
 Pagenstecher, 234 
 
 Parmentier, 96, 97, 241, 321 
 
 Partsch, 230 
 
 Paschkis, H., 221 
 
 Passmore, F. ; see Fischer, E., & F. 
 
 Passmore 
 Pasteur, 224, 313 
 Paternos, 259 
 Pawel, 232, 233 
 Payne, 423 
 Pearse. 393, 401 
 Pechard, 98, 101, 102, 321 
 Peckert, 230 
 Pelouze, 242, 243 
 
NAME INDEX 
 
 449 
 
 Penfield & Howe, 306 
 
 Penfield & Minor, 54 
 
 Penfield & Sperry, 405, 417 
 
 Pernossi ; see Fermi & Pernossi 
 
 Perkin, W. H., and Kipping, E. S., 309 
 
 Petersen, 413 
 
 Petrusky, K., 434 
 
 Pettenkoffer, 154 
 
 Petterson, O., 317 
 
 Pfaff, 234 
 
 Philipp, 137, 146, 147, 322, 431, 432, 433 
 
 Piccard, 393 
 
 Pisani, 365, 371, 376, 389, 397, 415, 417, 419 
 
 Port, 230 
 
 Proust, 302-304 
 
 Priickner, 136 
 
 Pufahl, 19, 100, 389 
 
 Pukall, W., 7, 111, 117-120 
 
 R 
 
 Raimondi, 413 
 Rammelsberg, C., 4, 6, 14, 27, 28, 55, 99, 
 
 101, 295, 300, 305, 306, 353, 355, 369, 
 
 375, 380, 382, 391, 393, 397, 399, 405, 
 
 406, 408, 410, 423, 427 
 Ramsay, William, 281 
 Ramsay <fe Aston, 259 
 Raoult, 266 
 Rath, G. v., 374, 376, 378, 380, 382, 413, 
 
 415, 417, 419, 421, 423, 425, 427 
 Rawitzer, 201, 202, 206, 208 
 Re, H., 274 
 
 Rebbufat, 163, 164, 196 
 Recoura, 262-264, 323 
 Reissner, 230, 232 
 Remsen, 257 
 Renard, 354, 361, 373 
 Rennie, E. H., 266, 267 
 Retgers, 298, 300, 302 
 Reusch, 312, 313, 316 
 Reymond, De Bois, 326 
 Ricciardi, 421 
 Richardson, 158, 163 
 Richter, 113, 126, 127, 131, 155, 175 
 Riehter, Rob., 202, 232, 354 
 Rickmann, 431, 432, 433 
 Riegel. 356 
 
 Rieke, R., 110, 111, 113, 134, 371 
 Riesen, van, 401 
 Riggs, 404, 406, 408, 419 
 Rinne, 70 
 
 Ritter, 137, 151, 433 
 Rivot & Chatoney, 156, 163, 164 
 Rocholl, 419 
 Roelig, 265 
 Roepper, 373 
 Rohland, 136, 157, 165 
 Rosam, 395 
 Rose, 4, 316, 317 
 Rose & Hampe, 250 
 Rosenheim, 271 
 Rostaing, 208 
 Rumpf, 365, 387 
 Rutheford & Soddy, 274 
 
 2 G 
 
 Sachs, 230, 233 
 
 Sachse, 311 
 
 Sackur, 278 
 
 Sadtler, 358 
 
 Safarik, 5, 324 
 
 Salomon, 382 
 
 Sandberger, 397, 405 
 
 Sanderson, 199 
 
 Santerson, 399 
 
 Sauer, 169, 369, 407 
 
 Sawtschenkow, 6 
 
 Schachtel, 233, 235 
 
 Schafer, 278 
 
 Schafhaiitl, 375 
 
 Scharizer, 404, 406, 408 
 
 Scharpless, 369 
 
 Scheerer, 6, 354, 355, 371, 415 
 
 Scheff, 271 
 
 Scheffer, G., 433, 434 
 
 Scheuer, 230 
 
 Schiefferdecker, 362 
 
 Schiff, 4, 312 
 
 Schiffner, 196 
 
 Schlaepfer, 385, 387, 401 
 
 Schluttig, W., 77 
 
 Schmid, E. E., 358, 397, 421 
 
 Schmidt, 234, 311, 427 
 
 Schmidt & Unger, 158, 159, 169 
 
 Schneider ; see Clarke & Schneider 
 
 Schnerr, K. H., 55, 355 
 
 Schnorf, 413 
 
 Schonaich-Carolath, 157 
 
 Schott, 157, 158, 160, 190, 192, 193, 198, 
 
 238, 240, 243 
 Schrauf, A., 281, 391 
 Schreiber, 202, 203, 204. 206, 219, 225, 
 
 230-233, 235 
 Schroder, 362 
 Schiitz, M., 142 
 Schulek, 234 
 
 Schuljatschenko, 155, 156, 195 
 Schulte, 230 
 Schultze, H., 300, 302 
 Schuster, 292, 295 
 Schwager, 367 
 Schwarz, 236, 408 
 Schweizer, 389 
 Searle, A. B., 104, 109, 112, 128, 133, 134. 
 
 161 
 Seger, 108, 124, 127-130, 132, 133, 135, 
 
 135, 240, 251, 252 
 Segeth, 419 
 Selkmann, 376 
 Selowsky, 230 
 Seneca, 417 
 
 Shepherd ; see Allen & Shepherd 
 Seidler, 211 
 Siem, 226 
 
 Siemiradzki, 415, 419 
 Silber, P., 25, 53, 62, 139, 321 
 Silbermann, 230, 232 
 Simmonds, 111 
 Simonis, 130 
 
450 
 
 NAME INDEX 
 
 Singer, 11 
 
 Sipocz, A., 361, 362, 371, 378, 391, 423 
 
 Smith, L., 361, 369, 405, 413 
 
 Smith & Brush, 369, 385, 387, 417 
 
 Smithson, 3, 10 
 
 Sobolew, 16 
 
 Soddy, 274, 279 
 
 Soddy ; see Rutheford & Soddy 
 
 Soenderop, 256 
 
 Sohncke, 285, 289, 316 
 
 Sommaruga, E. v., 134, 427 
 
 Sommerfeldt, 70, 72 
 
 Sommerland, 353, 406 
 
 Spencer & Newberry, 163 
 
 Sperry ; see Penfield & Sperry 
 
 Sprenger, 17, 101, 102 
 
 Stadeler, 4, 55 
 
 Stark, J., 274 
 
 Stas, 237 
 
 Stein, 136, 230 
 
 Steinmann, 395 
 
 Stockar-Escher, 354, 355 
 
 Stolzel, C., 150, 151 
 
 Stohmann, 310 
 
 Stremme, 319, 323 
 
 Streng, 4, 415, 419, 425 
 
 Strumpel, 202 
 
 Struve, 95, 403, 413 
 
 Suida, 360 
 
 Sutherland, 259 
 
 Swiatkowski, 419 
 
 Szilasi, 137, 148, 149, 322, 391, 431, 432 
 
 Tachenius, 3 
 
 Tammann, G., 259, 268, 300, 301 
 
 Teichek, v., 181, 435 
 
 Telek, 387 
 
 Thomson, 259, 311 
 
 Thomson, 356, 365, 380, 419 
 
 Thoreld, 367 
 
 Thugutt, St. J., 11, 25, 27, 28, 44, 45, 47, 
 
 52, 53, 58-62, 64, 152, 198, 321 
 Tickle ; see Collie & Tickle 
 Tornebohm, 158 
 Topsoe, 300, 302 
 Tournier d'Albe, 266, 267 
 Traube, 397 
 
 Tschermak, 5, 6, 27, 295, 300, 391, 421 
 Tutton, A. E., 283, 312 
 
 U 
 
 Uhlenhut ; see Koche & Uhlenhut 
 
 Unger, 136 
 
 Unger ; see Schmidt & Unger 
 
 V 
 
 Vaillant, 266, 267 
 
 Valentino, 419 
 
 Varrentrapp, 136, 371, 391, 403. 427 
 
 Vaubel, 311 
 
 Vernadsky, 5, 6, 23, 27, 28, 30, 47, 106, 
 
 165, 324, 325 
 
 Vespignani ; see Carrara & Vespignani 
 Vicat, 154 
 
 Villiger : see Baeyer & Villiger 
 Vogel, H. W., 143, 228 
 Vogt, 284, 378 
 Vohl, 430 
 Vossius, 234 
 Vucnik, 284 
 Vuylsteke, 399 
 
 W 
 
 Wacher, 234 
 
 Wagner, G., 362 
 
 Walden, 278 
 
 Walker, 278 
 
 Walkers, 259 
 
 Waltershausen, v., 419, 421 
 
 Wartha, 5, 6, 28, 387, 391 
 
 Watson, J. A., 266, 267 
 
 Weber, 240 
 
 Websky, 397 
 
 Wedel, 425 
 
 Wedl, 234 
 
 Wege, 218, 233, 235 
 
 Werner, A., 257, 258, 266, 278, 326 
 
 Werner & Hantzsch, 282 
 
 Weryecke, van, 403 
 
 Whitney, 262, 263, 265, 323, 362 
 
 Wild, 230 
 
 Wilk, 354, 378, 391, 423 
 
 Williams, 421, 423 
 
 Winkler, 154, 155, 160, 163, 176, 234 
 
 Wislicenus, J., 281 
 
 Witt, O. N., 142, 246 
 
 Wittstein, 382 
 
 Wohler, 250 
 
 Woltzien, 4 
 
 Woitschach, 395 
 
 Wolff, 374, 376, 380 
 
 Wolff, C., 230 
 
 Wollemann, 417 
 
 Wulf, 355 
 
 Wulff, 314 
 
 Wurtz, 4, 380, 401 
 
 Wymper, 268 
 
 Wyrouboff, 300, 302 
 
 Zander ; see Lossen & Zander 
 
 Zellner, 367 
 
 Zeltner, 146 
 
 Zenker, 21 
 
 Zeynek, R. v., 395, 397 
 
 Ziem, 234 
 
 Ziemjatschewsky, 24 
 
 Zinn, N. v., 403 
 
 Zsigmondy, 157 
 
 Zulkowski 24, 28, 160, 163, 164, 176, 177, 
 
 181, 182, 193, 236, 237, 241, 243, 248, 
 
 249-251, 435, 436 
 
SUBJECT INDEX 
 
 A-aluminosilicates, 165, 197 
 
 A-cements, 214, 235 
 
 A-cements, toxic action of, 219 
 
 A-sodalites, 153 
 
 a-complexes, 76, 78 
 
 a-hydrogen, 197 
 
 a-hydroxyl, 65, 165, 210 
 
 a- or 2-hydro-aluminosilicates, 142 
 
 a-vanadomolybdic anhydrides, 79 
 
 Acid anhydrides, 141 
 
 Acid, ferrosulphuric, 264 
 
 Acid nature of silica, 4 
 
 Acid-reacting salts, 228 
 
 Acid- water, 65 
 
 Acidity of clays, 106 
 
 Acido-philism, 210 
 
 Acids, action of, on hydraulic lime, 194 
 
 Acids, action of, on cement, 189 
 
 Acids, chromo-sulphuric, 263 
 
 Acids, complex, 15 
 
 Acids, constitution of, 268 
 
 Acids, water of crystallisation in, 265 
 
 Actinolite, 300 
 
 Aggregation, states of, 294 
 
 Alabaster glass, 237 
 
 Albite, 9, 46, 64, 295 
 
 Alite, 158 
 
 Alkalies, action of, on cements, 189, 194 
 
 Alkaline carbonates, action of, on ce- 
 ments, 193 
 
 Allophane group, 104, 108, 109 
 
 Alum potash, 315 
 
 Alums, water in, 262 
 
 Alumina, acid nature of, 23 
 
 Aluminium atoms, variable behaviour of, 
 25 
 
 Aluminium in silicates, role of, 5 
 
 Aluminophosphates, 226 
 
 Aluminophosphoric acids, 222 
 
 Aluminophosphoric acids and nerve-fibres, 
 225 
 
 Aluminosilicates, 6, 7, 56, 75, 90, 139, 169, 
 175, 261, 319 
 
 Aluminosilicates, attraction of, for acids 
 and bases, 210 
 
 Aluminosilicic acids, 6, 62, 103, 165 
 Ammonias, metallic, 17, 256 
 Ammonium compounds, 299, 306, 317 
 Ammonium salts, 299 
 Amphibole, 300 
 Amphichromatophilism, 212 
 Analcime, 9, 11, 14, 25, 45, 46, 47, 72, 176 
 Analysis, rational, 322 
 Andalusite, 9 
 
 Andesite, 24, 62 
 Anhydrobasic salt, 166 
 Anorthite, 5, 47, 295 
 Apatite, 291 
 Aragonite, 291, 293 
 Archid hypothesis, 273 
 Ardennite, 29, 75 
 Arsenates, 291, 294, 307 
 Arsenic acid, 294 
 Arseno-compounds, 93 
 Arsenomolybdates, 18, 93 
 Ascharite, 291 
 Atomic complexes, 165 
 Atoms, constitution of, 274 
 Atoms, transmutation of, 281 
 Atoms, valencies of, 275 
 Avasite, 78 
 Aventurine glass, 249 
 Axes, chemical, 286 
 
 B 
 
 Base-prognoses, 73 
 
 Base-water, 65 
 
 Basic group, effect of, 95, 108 
 
 Basic salts, 167 
 
 Basis-isomerism, 63 
 
 Baso-philism, 210 
 
 Belite, 158 
 
 Benzene, structural formula of, 309 
 
 /3-complexes, 76, 95 
 
 /3-hydroxyls, 65 
 
 /3-vanadomolybdates, 79 
 
 Binding materials, 153 
 
 Bischof & Richter's law, 127 
 
 Blue Staffordshire bricks, 135 
 
 Boronatrocalcite, 291 
 
 Boron compounds, 76, 77 
 
 Boulder clay, 108 
 
 Burned clay, colour of, 135 
 
 Burning clays, 111 
 
 Cadmium compounds, 299 
 
 Calcite, 293 
 
 Calcium aluminosilicates, 169, 200 
 
 Calcium carbonate, 291 
 
 Calcium compounds, 317 
 
 Calcium hydrate, 183 
 
 Calcium sulpho-aluminates, 196 
 
 Calcspar, 291 
 
 Carbon and silicon compared, 1 
 
 Carbon compounds, 270 
 
 Carbonates, action of, on cements, 193 
 
 Carbonic acid, 293 
 
 451 
 
452 
 
 SUBJECT INDEX 
 
 Carbonic acid, action of, on hardened 
 mortar, 193 
 
 Carbonic acid in mortar, 190 
 
 Celite, 158 
 
 Cement, action of salts on, 160 
 
 Cement, action of sulphates on, 196 
 
 Cement, action of water on, 197 
 
 Cement, effective substances in, 157 
 
 Cement, Fletcher's, 199 
 
 Cement formulae, 179 
 
 Cement prognoses, 193 
 
 Cement, swelling of, 196 
 
 Cements, 153, 322 
 
 Cements, action of acids and alkalies on, 
 189, 194 
 
 Cements and sea water, 195 
 
 Cements, cracking of, 175, 198 
 
 Cements, dental, 199 
 
 Cements, expansion of, 175 
 
 Cements, hardening constituents of, 164 
 
 Cements, hardening of, 177 
 
 Cements, heat development in, 187 
 
 Cements, hydration of, 181 
 
 Cements, isomeric, 195 
 
 Cements, regenerated, 186 
 
 Cements, silicate, 199 
 
 Centralisers, 245 
 
 Centralisers, zinc phosphate, 199 
 
 Chabasite, 47 
 
 Chemical axes of crystals, 286 
 
 Chemical constitution of Portland ce- 
 ments, 165 
 
 China clay (see Kaolin), 110 
 
 Chlorite, 47 
 
 Chlorite ring, 325 
 
 Chlorosodalite, 59, 64 
 
 Chondrodite, 306 
 
 Chromates, 300, 302 
 
 Chrome alum, 263 
 
 Chromophores, 245 
 
 Chromo-sulphuric acids, 263 
 
 Chromotropy, 278 
 
 Clay, colloids in, 134 
 
 Clay, colour of, 135 
 
 Clay, iron oxide in. 135 
 
 Clay, plasticity of, 133 
 
 Clay, red-burning, 135 
 
 Clay substance, 106 
 
 Clay, water of constitution in, 134 
 
 Clayite, 128 
 
 Clays, 6, 7, 168, 176, 322 
 
 Clays, constitution of, 102 
 
 Clinker, 158 
 
 Clinohumite, 306 
 
 Clintonite group, 49, 300 
 
 Cobalt compounds, 256, 292, 299, 306 
 
 Colemanite, 291 
 
 Colloidal properties of cements, 162 
 
 Colloids, 244 
 
 Colour of bricks and clay, 135 
 
 Combined water, 65, 321 
 
 Complex acid theory, 62 
 
 Complexes, 165 
 
 Composition of clays and melting point, 129 
 
 Conductivity, 227 
 Constitution of aluminosilicates, 7 
 Constitution of silicates, 3 
 Constitution of slags, 169 
 Co-ordination law, Werner's, 326 
 Copper ruby glass, 249 
 Cracking of cements, 175, 198 
 Cristobalite, 292 
 Cryophillite, 27 
 
 Crystalline form and chemical com- 
 position, 282 
 Crystallography, 282 
 Crystal molecule, 283 
 Crystals, angles of, 294 
 Crystals, optical properties of, 312 
 Crystals, structure of, 285, 289, 326 
 Cyanogen compounds, 256 
 
 D 
 
 Decolouration of glass, 246 
 
 Density, change in, 168 
 
 Dental cements, 199, 322 
 
 Dental stopping, characteristics of, 200 
 
 Dentistry, relation of H.P. theory to, 199 
 
 Depression of thermometer, 239 
 
 Desmine, 47, 48, 70, 71 
 
 Devitrification of glass, 241 
 
 Di-carbonic acid, 293 
 
 Diffusibility of A- and 2-cements, 235 
 
 Dimorphism of CaCO 3 , 293 
 
 Disdynamised compounds, 108 
 
 Dissociation theory, 266 
 
 Double salts, 11, 12, 16 
 
 Dualism, chemical, 305 
 
 Dyes, 246 
 
 Dye-stuffs, 212 
 
 Dynamisation theory, 168 
 
 Dynamised compounds, 108 
 
 E 
 
 Effective substances of cement, 157 
 Elaolite, 9 
 Elaolite-syenite, 59 
 Endlichite, 291 
 Enamels, 236 
 Enantiomorphism, 313 
 Enantiomorphous crystals, 313 
 Entpolymerisation, 170 
 Epidote, 46, 47, 53, 301 
 Epistilbite, 66, 68 
 Expansion of cements, 175 
 
 Faujasite, 66, 68 
 
 Felite, 158 
 
 Felspar, 5, 53, 58, 62, 64, 176, 294 
 
 Felspar group, 51 
 
 Felspars, formulae of, 297 
 
 Ferric sulphide, 292 
 
 Ferrocyanides, 257 
 
 Ferrosulphuric acid, 264 
 
 Fire resistant quotient (Bischof), 126 
 
SUBJECT INDEX 
 
 453 
 
 Fire resistant quotient (Seger), 128 
 
 Fletcher's cement, 199 
 
 Fluorine compounds, 55 
 
 Forecite, 66, 69 
 
 Formulae, calculation of, 48 
 
 Formulae of porcelain cements, 215 
 
 Franklandite, 291 
 
 Free lime in cement, 155 
 
 G 
 
 7-hydroxyl, 65 
 
 Genetic relationship, 10, 14, 22, 40, 43, 47, 
 
 297, 298 
 Genetic relationship between Portland 
 
 and slag cements, 160 
 Geometrical constants, 305 
 Glass, Thuringian, 238, 240 
 Glasses, 236 
 Glasses, coloured, 243 
 Glasses, constitution of, 239 
 Glasses, formulae of, 254 
 Glazes, 236 
 
 Glazes, formulae of, 254 
 Granite, 47, 56 
 Gypsum, action of, on cement, 196 
 
 Hardening constituents of cements, 164 
 Hardening of cements, 153 
 Hardening of dental cements, 213 
 Hardening of porcelain cements, 205, 208, 
 
 212 
 
 Hardening of Portland cements, 173 
 Hardening of Portland cements, causes of, 
 
 177 
 
 Hardening, regulation of, 217 
 Hardening, secondary, of cements, 193 
 Heat development in hardening cements, 
 
 187 
 
 Heat on clay, effect of, 109 to 130 
 Heat resistance and composition, 126 
 Heulandite, 47, 66, 67, 70 
 Hexite, 30 
 
 Historical review of cements, 153 
 Historical review of ultramarines, 136 
 Historical survey, 3 
 Howlite, 77 
 Humite, 306 
 Hydrated limes, 183 
 Hydration of porcelain cements, 213, 216 
 Hydration of Portland cements, 181 
 Hydration phase, 173 
 Hydraulic binding materials, 153 
 Hydraulic limes, 153, 183, 188, 193 
 Hydraulic limes, action of acids on, 194 
 Hydraulic modulus, 168 
 Hydraulite, 153 
 
 Hydro-aluminosilicates, 106, 210, 261 
 Hydrobasic groups, 209 
 Hydrobasic salt, 166 
 Hydroborasite, 291 
 Hydroferrosulphates, 261 
 Hydrohexites, 32 
 
 Hydronephelite, 9, 65, 67 
 Hydro-pentites, 33 
 Hydrous aluminosilicates, 65 
 Hydroxide water, 194 
 Hydroxyl groups, 51, 52, 53, 72 
 Hygroscopicity of clay, 123 
 
 Ice, polymeric forms of, 259 
 Iron compounds, 78, 299, 301 
 Isomeric aluminosilicates, 64 
 Isomeric lime and magnesia, 175 
 Isomerism, 63, 113 
 Isomers of silicate cements, 195 
 Isomorphism, 294 
 Isomorphous mixtures, 13, 26, 296 
 
 K 
 
 Kaliborite, 291 
 Kampylite, 291 
 Kaolin, 6, 7, 9, 10, 25, 44, 46, 47, 52, 90, 
 
 113, 139, 165, 181 
 
 Kaolin, acido- and baso-philism of, 212 
 Kaolin, amphichromatophilism of, 212 
 Kaolin, constitution of, 212 
 Kaolin lakes, 212 
 Kaolinates, 118 
 Kaolinic acid, 6, 111, 115 
 Kaolinisation, 117 
 Kaolinite, 110 
 Krypolite, 10 
 
 Labradorite, 295 
 
 Lakes, 212 
 
 Lardellerite, 291 
 
 Laumontite, 46, 47, 65, 66, 91 
 
 Leucite, 9, 46, 176 
 
 Lime, action on bond in cements, 194 
 
 Lime- clay mixtures, 181 
 
 Lime compounds, 306 
 
 Lime, free, in cement, 155 
 
 Lime, hardening of, 174 
 
 Lime, hydraulic, 193 
 
 Lime in cements, removal of, 193 
 
 Lime, isomeric, 175 
 
 Lime, proportion removable from cement, 
 
 160 
 
 Lime, separation of, in cements, 190 
 Lime-silica mixtures, hardening of, 176 
 Limes, hydraulic, action of acids on, 194 
 Lud wig's chart, 128 
 
 M 
 
 Magnesia compounds, 306 
 Magnesia, isomeric, 175 
 Magnesia, slaking of, 175 
 Magnesium silicate, 176 
 Manganese compounds, 299, 306 
 Marcasite, 292 
 Margarite, 10 
 Masonry, destruction of, 195 
 
454 
 
 SUBJECT INDEX 
 
 Melting point, 168 
 
 Melting point and composition, 129 
 
 Melting point of clays, 109, 124 
 
 Melting point of silicates, 131 
 
 Mesolites, 57 
 
 Metal-ammonias, 256 
 
 Metal-ammonium salts, 17 
 
 Mica, 9, 58, 60, 300, 313 
 
 Mica group, 49 
 
 Mica ring, 325 
 
 Microcline, 64 
 
 Micrographic examination of cements, 158 
 
 Micrographic study of hardening, 178 
 
 Milarite, 78 
 
 Mimetesite, 291 
 
 Mix-crystals, 298 
 
 "Mixture," 112 
 
 Mixture theories, 6, 26, 62, 163, 253, 295, 
 298 
 
 Mixture theory of cements, 158 
 
 Modulus, hydraulic, 168 
 
 Molasses, 211 
 
 Molecular compound, 12 
 
 Molecular core, 298 
 
 Molecular volumes, 317 
 
 Molecular weight of slags, 171 
 
 Molecular weights of crystals, 285 
 
 Molybdates, 16, 300, 302 
 
 Molybdenum compounds, 78, 79 
 
 Mordennite, 78 
 
 Mortar, 156 
 
 Mortar, action of CO 2 on, 193 
 
 Muscovite, 9, 45, 46, 47 
 
 N 
 
 Natrolite, 9, 46, 47, 59, 66, 70, 91, 176 
 Nepheline, 6, 9, 25, 46, 52, 61, 62 
 Nepheline hydrate, 52, 58, 59 
 Neptunite, 48 
 Nerve-fibres and aluminophosphoric acids, 
 
 225 
 
 Nerve-fibres, chemical constitution of, 224 
 Nerve-substance, reactions of, 222 
 Neurotropism of aluminophosphoric acids . 
 
 222 
 
 Nickel compounds, 292, 299, 306 
 Nomenclature of silicates, 113, 114 
 Nontronite, 136 
 Nordenskioldite, 76 
 Norsean, 59 
 Nucleus, molecular, 298 
 
 Oligoclase, 295 
 Olivine, 47 
 Opals, 106 
 
 Optical properties of crystals, 312 
 Optically active crystals, 313 
 Orthochlorite group, 50, 300 
 Orthoclase, 9, 12, 27, 46, 64, 295 
 Oxygen, valency of, 109 
 Oxyphilism, 212 
 
 ^andermite, 291 
 D araleucaniline, 246 
 Parameters, 307 
 Phakelite, 27 
 Pelinite, 128 
 Pentite, 32 
 Permutites, 210 
 Petalite, 23 
 Phillipsite, 47 
 
 Phosphates, 291, 294, 300, 307 
 Phosphoric acid, 294 
 Phosphorous compounds, 269, 271, 293 
 Phosphotungstates, 20 
 Pigments with hydraulic properties, 198 
 Plaster of Paris, action of, on cement, 196 
 Plasticity of clay, 133, 322 
 Polymerisation, 113, 168 
 Polymerisation of gas-molecules, 283 
 Polymorphism, 290 
 Polyspharite, 291 
 Porcelain cements, 199 
 Porcelain cements, chemical constitution 
 
 of, 209 
 
 Porcelain cements, formulae of, 215 
 Porcelains, 236 
 Porcelains, formulae of, 254 
 Porphyrexides, 277 
 Porpora glass, 248 
 Portland cement, 153, 322 
 Portland cement, action of water on, 197 
 Portland cement and sea water, 195 
 Portland cement formulae, 179 
 Portland cement, hydration of, 181 
 Portland cements, constitution of, 165 
 Portland cements, hardening of, 173, 177 
 Potash compounds, 306 
 Potash felspar, 53, 64 
 Potash mica, 58, 59, 60 
 Potash nepheline, 58 
 Potassium compounds, 300, 317 
 Potassium silicotungstate, 95 
 Prehnite, 45, 47 
 Prismatine, 10 
 Prolektite, 306 
 
 Pseudomorphous processes, 45 
 Ptiolite, 78 
 Puzzolans, 153, 176 
 Pyrite, 292 
 Pyromorphite, 291 
 Pyrophillite, 46 
 
 Quartz, 176 
 
 Quicklime, slaking of, 174 
 
 R 
 
 Racemic acid, 313 
 Radio-activity, causes of, 279 
 Rational analysis, 107, 108 
 Red-burning clays, 135 
 Refractoriness and composition, 126 
 
SUBJECT INDEX 
 
 455 
 
 Refractory index, 130 
 Regenerated cements, 186 
 Resistance to alkalies of slags, 160 
 Ring-isomerism, 64 
 Ring-prognoses, 74 
 Ring-water, 72 
 Roman cement, 153 
 Rosaniline, 246 
 Rubidium compounds, 317 
 Ruby glass, 249 
 
 S 
 
 2, 60, 152 
 
 2-aluminosilicates, 197 
 
 2-cements, 213, 227, 235 
 
 2-hydro-aluminosilicates, 142 
 
 2-sodalites, 153 
 
 2-ultramarines, 215 
 
 Saliva, action of, on cements, 218 
 
 Sapphirin, 23, 76 
 
 Scapolite, 62 
 
 Scapolite group, 50 
 
 Scolecite, 66, 69, 91 
 
 Sea water, action of, on cements, 195 
 
 Seger cones and temperatures, 129, 130 
 
 Setting of cements, 153 
 
 s-hydroxyls, 65, 165, 209, 210 
 
 Side-chains, 305 
 
 Silica, 3, 291 
 
 Silica-lime mixtures, hardening of, 176 
 
 Silica, precipitated, 7 
 
 Silica, soluble, 154, 156, 189 
 
 Silica, separation from ultramarine, 151 
 
 Silicate cements, 199 
 
 Silicate cements, isomers of, 195 
 
 Silicate- water, 186, 194 
 
 Silicic acid, 3 
 
 Silico-aluminic acid, 6 
 
 Silico hydrates, 8 
 
 Silico-molybdate, 16 
 
 Silico-tungstates, 94 
 
 Sillimanite, 110 
 
 Sintering point, 159 
 
 Skelezite, 47 
 
 Slag cement, 153 
 
 Slags, 160, 169 
 
 Slags, action of alkali on, 172 
 
 Slags, composition of, 170, 171 
 
 Soda felspar, 64 
 
 Sodalites, 12, 25, 42, 43, 46, 52, 59, 60, 65, 
 
 152, 153, 198 
 
 Sodium alumino-lactate, 226 
 Sodium aluminosilicate, 139 
 Sodium nepheline hydrate, 59 
 Sodium orthoclase, 64 
 Sodium phosphate, 293 
 Sodium s-kaolinate, 116, 118 
 Softening point and composition, 132 
 Softening points, 129 
 Softening water, 211 
 Solid solutions, 71, 157, 159, 253, 305 
 Soluble silica, 154, 156, 189 
 Spectrum analysis, 228 
 Spinels, 4 
 
 Steatite, 176 
 
 Stereo-chemical theories, criticism of, 281 
 
 Stereo-hexite and stereo-pentite theory, 
 
 286 
 
 Stilbite, 66, 68 
 Strontium carbonate, 291 
 Strontium carbonates, 306 
 Sugar, inversion of, 229 
 Sugar recovery, 211 
 Sugars, formation of, 271 
 Sulphides, 292 
 Sulpho-aluminates, 196 
 Sulphonate groups in ultramarines, 141, 
 
 151 
 
 Sulphonates, 141, 151 
 Sulphonates, action of, on cements, 196 
 Sulphonates as chromophores, 142 
 Sulphur, 292 
 
 Sulphuric acid ; action on clays, 107 
 Summary, 318 
 Syntagmatite, 300 
 
 Talc, 176 
 
 Tartaric acid, 313 
 
 Tellurium compounds, 317 
 
 Thermo-chemical studies of hydration, 187 
 
 Thermodynamics, law of, 71 
 
 Thermometer depression, 239 
 
 Thomsonite, 67 
 
 Tin compounds, 76 
 
 Titanic oxide, 292 
 
 Topaz, 54, 210 
 
 Topical parameters, 307 
 
 Tourmaline, 24, 47, 75, 295 
 
 Tourmaline group, 50 
 
 Toxic action of the .4 -cements, 219 
 
 Trass, 153, 176 
 
 Tri-calcium silicate, 158 
 
 Tridymite, 292 
 
 Tungstates, 18 
 
 Tungsten compounds, 20, 24, 78, 81 
 
 Type theory, 4 
 
 U 
 
 Ultramarines, 59, 136, 165, 322 
 Ultramarines and sodalites, 152 
 Ultramarines, composition of, 143 
 Ultramarines, constitution of, 212 
 Ultramarines, effect of heat on, 150 
 Ultramarines, isomeric, 147 
 Ultramarines, vitrification of, 150 
 Uranium compounds, 306 
 Urano -acetates, 306 
 
 Valencies, 275, 289, 294 
 
 Vanadates, 291 
 
 Vanadinite, 291 
 
 Vanadium compounds, 20, 75, 79 
 
 Vitrification of clay, 109 
 
 Vitrification of ultramarines, 150 
 
456 
 
 SUBJECT INDEX 
 
 w 
 
 Water, combined, 65, 72, 109, 110 
 Water of constitution, 4, 51, 53, 65, 95, 
 
 104, 108, 109, 116, 134, 152, 305, 
 
 321 
 Water of crystallisation, 59, 65, 71, 103, 
 
 108, 186, 259, 305, 321 
 Water of hydration in cements, 181, 186 
 Water of silication (see Silicate-water), 
 
 186 
 
 Water-separation phases, 71 
 Water, softening, 211 
 
 Zeolites, 47, 65, 154, 210, 314 
 Zinc aluminophosphates, 226 
 Zinc compounds, 299, 306 
 Zinc phosphate cements, 199 
 Zinnwaldite, 26 
 
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