of FRAGMENTS OF SCIENCE FOR UNSCIENTIFIC PEOPLE: A SERIES OF DETACHED ESSAYS, LECTURES, AND REVIEWS. BY JOHN TYNDALL, LL. D., F. R. S., ATITIIOE OF "HEAT AS A "** OF, MfflifTTr." "T-""~^"^" ON SOUKD," ETC., ETC. ORK: D. APPLETON AND COMPANY, 549 & 551 BROADWAY. 1871. PEEFACE. MY MOTIVE in writing these papers was mainly that which prompted the publication of my Royal Institu- tion lectures ; a desire, namely, to extend sympathy for science beyond the limits of the scientific public. The fulfilment of this desire has caused a tempo- rary and sometimes reluctant deflection of thought from the line of original research. But considering the result aimed at, and in part I trust achieved, I do not regret the price paid for it. I have carefully looked over all the articles here printed, added a little, omitted a little in fact, tried as far as my time permitted to render the work pre- sentable. Most of the essays are of a purely scien- tific character, and from those which are not, I have endeavored, without veiling my convictions, to exclude every word that could cause needless irritation. From America the impulse came which induced me to gather these " Fragments " together, and to my friends in the United States I dedicate them. JOHN TYNDALL. ATHEN.EUM CLUB : March, 1871. CONTENTS. I. THE CONSTITUTION OF NATURE, . . 1 II. THOUGHTS ON PRAYER AND NATURAL LAW, . . 33 III. MIRACLES AND SPECIAL PROVIDENCES, . . , .43 ^ IV. MATTER AND FORCE, . . . . . 71 V. AN ADDRESS TO STUDENTS, . . . . .95 VI. SCOPE AND LIMIT OF SCIENTIFIC MATERIALISM, . 107 x VII. SCIENTIFIC USE OF THE IMAGINATION, . . .125 VIII. ON RADIATION, ..... 1C7 IX. ON RADIANT HEAT IN RELATION TO THE COLOR AND CHEMI- CAL CONSTITUTION OF BODIES, . . .211 1L ON CHEMICAL RATS AND THE STRUCTURE AND LIGHT OF THE SKY, . . . . . .235 XI. DUST AND DISEASE, ..... 275 ADDITION TO "DUST AND DISEASE," . . . 323 XII. LIFE AND LETTERS OF FARADAY, . . . 329 XIII. AN ELEMENTARY LECTURE ON MAGNETISM, . . 353 XIV. SHORTER ARTICLES : SLATES, 377 DEATH BY LIGHTNING, .... 397 SCIENCE AND SPIRITS, .... 402 VITALITY, . . . . . . 410 ADDITIONAL REMARKS ON MIRACLES, . 418 I. THE CONSTITUTION OF NATURE. AN ESSAY. [Fortnightly Review, vol. iii. p. 129.] " The gentle Mother of all Showed me the lore of colors and of sounds ; The innumerable tenements of beauty ; The miracle of generative force ; Far-reaching concords of Astronomy Felt in the plants and in the punctual birds ; Mainly, the linked purpose of the whole ; And, chiefest prize, found I true liberty The home of homes plain-dealing Nature gave." RALPH WALDO EMERSON. I. THE CONSTITUTION OF NATURE. WE cannot think of space as finite, for wherever in imagination we erect a boundary we are compelled to think of space as existing beyond that boundary. Thus by the incessant dissolution of limits we arrive at a more or less adequate idea of the infinity of space. But though com- pelled to think of space as unbounded, there is no mental necessity to compel us to think of it either as filled or as empty ; whether it is filled or empty must be decided by experiment and observation. That it is not entirely void, the starry heavens declare ; but the question still remains, Are the stars themselves hung in vacuof Are the vast regions which surround them, and across which their light is propagated, absolutely empty ? A century ago the answer to this question would be, " No, for particles of light are incessantly shot through space." The reply of modern science is also negative, but on a somewhat differ- ent ground. It has the best possible reasons for rejecting the idea of luminiferous particles ; but, in support of the conclusion that the celestial spaces are occupied by matter, it is able to offer proofs almost as cogent as those which can be adduced for the existence of an atmosphere round the earth. Men's minds, indeed, rose to a conception of the celestial and universal atmosphere through the study of the terrestrial and local one. Frqm the phenomena of sound as displayed in the air, they ascended to the phe~ 10 FRAGMENTS OF SCIENCE. nomena of light as displayed in the ether / which is the name given to the interstellar medium. x The notion of this medium must not be considered as \ a vague or fanciful conception on the part of scientific men. Of its reality most of them are as convinced as they are of the existence of the sun and moon. The luminiferous ether has definite mechanical properties. It is almost infinitely more attenuated than any known gas, but its properties are those of a solid rather than of a gas. It resembles jelly rather than air. A body thus constituted may have its boundaries ; but, although the ether may not be coexten- sive with space, we at all events know that it extends as far as the most distant visible stars. In fact, it is the ve- hicle of their light, and without it they could not be seen. This all-pervading substance takes up their molecular tre- mors, and conveys them with inconceivable rapidity to our or- gans of vision. It is the transported shiver of bodies count- less millions of miles distant, which translates itself in human consciousness into the splendor of the firmament at night. If the ether have a boundary, masses of ponderable matter might be conceived to exist beyond it, but they could emit no light. Beyond the ether dark suns might burn ; there, under proper conditions, combustion might be carried on ; fuel might consume unseen, and metals be heated to fusion in invisible fires. A body, moreover, once heated there, would continue forever heated ; a sun or planet, once molten, would continue forever molten. For, the loss of heat being simply the abstraction of molecular motion by the ether, where this medium is absent no cool- ing could occur. A sentient being, on approaching a heated body in this region, would be conscious of no augmentation of temperature. The gradations of warmth dependent on the laws of radiation would not exist, and actual contact would first reveal the heat of an extra ethereal sun. Imagine a paddle-wheel placed in water and caused to THE CONSTITUTION OF NATURE. 11 rotate. From it, as a centre, waves would issue in all directions, and a wader, as he approached the place of dis- turbance, would be met by stronger and stronger waves. This gradual augmentation of the impressions made upon the wader's body is exactly analogous to the augmentation of light when we approach a luminous source. In the one case, however, the coarse common nerves of the body suf- fice ; for the other we must have the finer optic nerve. But suppose the water withdrawn; the action at a distance would then cease, and, as far as the sense of touch is con- cerned, the wader would be first rendered conscious of the motion of the wheel by the actual blow of the paddles. The transference of motion from the paddles to the water is mechanically similar to the transference of molecular motion from the heated body to the ether ; and the propa- gation of waves through the liquid is mechanically similar to the propagation of light and radiant heat. As far as our knowledge of space extends, we are to conceive it as the holder of the luminiferous ether, through which are interspersed, at enormous distances apart, the ponderous nuclei of the stars. Associated with the star that most concerns us we have a group of dark planetary masses revolving at various distances round it, each again rotating on its own axis ; and, finally, associated with some of these planets we have dark bodies of minor note the moons. Whether the other fixed stars have similar plane- tary companions or not is to us a matter of pure conjecture, which may or may not enter into our conception of the universe. But, probably, every thoughtful person believes, with regard to those distant suns, that there is in space something besides our system on which they shine. Having thus obtained a general view of the present condition of space, and of the bodies contained in it, we may inquire whether things were so created at the begin- ning. Was space furnished at once, "by the fiat of Omnipo- 12 FRAGMENTS OF SCIENCE. tcnce, with these burning orbs ? To this question the man of science, if he confine himself within his own limits, will give no answer, though it must be remarked that in the formation of an opinion he has better materials to guide him than anybody else. He can clearly show, however, that the present state of things may be derivative. He can even assign reasons which render probable its deriva- tive origin that it was not originally what it now is. At all events, he can prove that out of common non-luminous matter this whole pomp of stars might have been evolved. The law of gravitation enunciated by Newton is, that every particle of matter in the universe attracts every other particle with a force which diminishes as the square of the distance increases. Thus the sun and the earth mutually pull each other ; thus the earth and the moon are kept in company ; the force which holds every respective pair of masses together being the integrated force of their com- ponent parts. Under the operation of this force, a stone falls to the ground and is warmed by the shock ; under its operation meteors plunge into our atmosphere and rise to incandescence. Showers of such doubtless fall incessantly upon the sun. Acted on by this force, were it stopped in its orbit to-morrow 7 , the earth would rush toward, and finally combine with, the sun. Heat would also be developed by this collision, and Mayer, Helmholtz, and Thomson, have calculated its amount. It would equal that produced by the combustion of more than five thousand worlds of solid coal, all this heat being generated at the instant of collision. In the attraction of gravity, therefore, acting upon non- luminous matter, we have a source of heat more powerful than could be derived from any terrestrial combustion. And were the matter of the universe cast in cold detached frag- ments into space, and there abandoned to the mutual gravi- tation of its own parts, the collision of the fragments would in the end produce the fires of the stars. THE CONSTITUTION OF NATURE. 13 The action of gravity upon matter originally cold may, in fact, be the origin of all light and heat, and the proxi- mate source of such other powers as are generated by light and heat. But we have now to inquire what is the light and what is the heat thus produced ? This question has already been answered in a general way. Both light and heat are modes of motion. Two planets clash and come to rest; their motion, considered as masses, is de- stroyed, but it is really continued as a motion of their ultimate particles. It is this motion, taken up by the ether, and propagated through it with a velocity of one hundred and eighty-five thousand miles a second, that comes to us as the light and heat of suns and stars. The atoms of a hot body swing with inconceivable rapidity, but this power of vibration necessarily implies the operation of forces between the atoms themselves. It reveals to us that, while they are held together by one force, they are kept asunder by another, their position at any moment de- pending on the equilibrium of attraction and repulsion. The atoms are virtually connected by elastic springs, which op- pose at the same time their approach and their retreat, but which tolerate the vibration called heat. When two bod- ies drawn together by the force of gravity strike each other, the intensity of the ultimate vibration, or, in other words, the amount of heat generated, is proportional to the vis viva destroyed by the collision. The molecular motion once set up is instantly shared with the ether, and diffused by it throughout space. We on the earth's surface live night and day in the midst of ethereal commotion. The medium is never still. The cloud-canopy above us may be thick enough to shut out the light of the stars, but this canopy is itself a warm body, which radiates its motion through the ether. The earth also is warm, and sends its heat-pulses incessantly forth. It is the waste of its molecular motion in space 14 FRAGMENTS OF SCIENCE. that chills the earth upon a clear night ; it is the return of its motion from the clouds which prevents the earth's temperature on a cloudy night from falling so low. To the conception of space being filled, we must therefore add the conception of its being in a state of incessant tremor. The sources of vibration are the ponderable masses of the universe. Let us take a sample of these and examine it in detail. When we look to our planet we find it to be an aggregate of solids, liquids, and gases. When we look at any one of these, we generally find it composed of still more elementary parts. We learn, for example, that the water of our rivers is formed by the union, in definite pro- portions, of two gases, oxygen and hydrogen. We know how to bring these constituents together, and to cause them to form water : we also know how to analyze the water, and recover from it its two constituents. So, likewise, as regards the solid proportions of the earth. Our chalk-hills, for example, are formed by a combination of carbon, oxy- gen, and calcium. These are elements the union of which, in definite proportions, has resulted in the formation of chalk. The flints within the chalk we know to be a com- pound of oxygen and silicium, called silica ; and our or- dinary clay is, for the most part, formed by the union of silicium, oxygen, and the well-known light metal, alumin- ium. By far the greater portion of the earth's crust is compounded of the elementary substances mentioned in these few lines. The principle of gravitation has been already described as an attraction which every particle of matter, however small, has for every other particle. With gravity there is no selection ; no particular atoms choose, by preference, other particular atoms as objects of attraction ; the attrac- tion of gravitation is proportional to the quantity of the attracting matter, regardless of its quality. But in the molecular world which we have now entered matters are THE CONSTITUTION OF NATURE. 15 otherwise arranged. Here we have atoms between which a strong attraction is exercised, and also atoms between which a weak attraction is exercised. One atom can jostle another out of its place in virtue of a superior force of at- traction. But though the amount of force exerted varies thus from atom to atom, it is still an attraction of the same mechanical quality, if I may use the term, as that of grav- ity itself. Its intensity might be measured in the same way, namely, by the amount of motion which it can impart in a certain time. Thus the attraction of gravity at the earth's surface is expressed by the number thirty-two, be- cause, when acting freely on a body for a second of time, it imparts to the body a velocity of thirty-two feet a second. In like manner the mutual attraction of oxygen and hydro- gen might be measured by the velocity imparted to the atoms in their rushing together. Of course such a unit of time as a second is not here to be thought of, the whole interval required by the atoms to cross the minute spaces which separate them not amounting probably to more than an inconceivably small fraction of a second. It has been stated that when a body falls to the earth it is warmed by the shock. Here we have what we may call a mechanical combination of the earth and the body. Suffer the falling body and the earth to dwindle in imagi- nation to the size of atoms, and for the attraction of grav- ity substitute that of chemical affinity, which is the name given to the molecular attraction, we have then what is called a chemical combination. The effect of the union in this case also is the development of heat, and from the amount of heat generated we can infer the intensity of the atomic pull. Measured by ordinary mechanical standards, this is enormous. Mix eight pounds of oxygen with one of hydrogen, and pass a spark through the mixture ; the gases instantly combine, their atoms rushing over the little distances between them. Take a weight of forty-seven 16 FRAGMENTS OF SCIENCE. thousand pounds to an elevation of one thousand feet above the earth's surface, and let it fall ; the energy with which it would strike the earth would not exceed that of the eight pounds of oxygen atoms as they dash against one pound of hydrogen atoms to form water. It is sometimes stated that the force of gravity is dis- tinguished from all other forces by the fact of its resisting conversion into any other. Chemical affinity, it is said, can be converted into heat and light, and these again into magnetism and electricity. But gravity refuses to be so converted ; it is a force which maintains itself under all circumstances, and is not capable of disappearing to give place to another. If by this is meant that a particle of matter can never be deprived of its weight, the assertion is correct ; but the law which affirms the convertibility of natural forces was never meant, in the minds of those who understood it, to affirm that such a conversion as that here implied occurs in any case whatever. As regards converti- bility into heat, gravity and chemical affinity stand on pre- cisely the same footing. The attraction in the one case is as indestructible as in the other. Nobody affirms that when a stone rests upon the surface of the earth the mutual attraction of the earth and stone is abolished ; nobody means to affirm that the mutual attraction oi oxygen for hydrogen ceases after the atoms have combined to form water. What is meant in the case of chemical affinity is, that the pull of that affinity, acting through a certain space, imparts a motion of translation of the one atom toward the other. This motion of translation is not heat, nor is the force that produces it heat. But when the atoms strike and recoil, the motion of translation is converted into a motion of vibration, and this latter motion is heat. But the vibra- tion, so far from causing the extinction of the original at- traction, is in part carried on by that attraction. The atoms recoil in virtue of the elastic force which opposes actual THE CONSTITUTION OF NATURE. 17 contact, and in the recoil they are driven too far back. The original attraction then triumphs over the force of recoil, and urges the atoms once more together. Thus, like a pen- dulum, they oscillate, until their motion is imparted to the surrounding ether ; or, in other words, until their heat be- comes radiant heat. In this sense, and in this sense only, is chemical affinity converted into heat. There is, first of all, the attraction between the atoms ; there is, secondly, space between them. Across this space the attraction urges them. They collide, they recoil, they oscillate. There is a change in the form of the motion, but there is no real loss. It is so with the attraction of gravity. To produce motion here, space must also intervene between the attracting bodies : when they strike motion is apparently destroyed, but in reality there is no destruction. Their atoms are suddenly urged together by the shock ; by their own perfect elasticity these atoms recoil ; and thus is set up the molecular oscillation which announces itself to the nerves as heat. It was formerly universally supposed that by the colli- sion of unelastic bodies force was destroyed. Men saw, for example, when two spheres of clay, or painter's putty, or lead, were urged together, that the motion possessed by the masses prior to impact was more or less annihilated. They believed in an absolute destruction of the force of impact. Until recent times, indeed, no difficulty was ex- perienced in believing this, whereas, at present, the ideas of force and its destruction refuse to be united in most philosophic minds. In the collision of elastic bodies, on the contrary, it was observed that the motion with which they clashed together was in great part restored by the resiliency of the masses, the more perfect the elasticity the more com- plete being the restitution. This led to the idea of perfectly elastic bodies bodies competent to restore by their recoil the whole of the motion which they possessed before impact. 18 FRAGMENTS OF SCIENCE. Hence the idea of the conservation of force, as opposed to the destruction of force, which was supposed to occur when inelastic bodies met in collision. We now know that the principle of conservation holds equally good with elastic and unelastic bodies. Perfectly elastic bodies develop no heat on collision. They retain their motion afterward, though its direction may be changed ; and it is only when sensible motion is, in whole or in part, destroyed that heat is generated. This always occurs in unelastic collision, the heat developed being the exact equivalent of the motion extinguished. This heat virtually declares that the property of elasticity, denied to the masses, exists among their atoms, and by their recoil and oscillation the principle of conservation is vindicated. But ambiguity in the use of the term " force " has been for some time more and more creeping upon us. We called the attraction of gravity a force without any reference to motion. A body resting on a shelf is as much pulled by gravity as when after having been pushed off the shelf it falls toward the earth. We applied the term force also to that molecular attraction which we called chemical affinity. When, however, we spoke of the conservation of force in the case of elastic collision, we meant neither a pull nor a push, which, as just indicated, might be exerted upon inert matter, but we meant the moving force, if I may use the term, of the colliding masses. What I have called moving force has a definite me- chanical measure in the amount of work that it can perform. The simplest form of work is the raising of a weight. A man walking up-hill or up-stairs with a pound weight in his hand, to an elevation say of sixteen feet, performs a cer- tain amount of work over and above the lifting of his own body. If he ascend to a height of thirty-two feet, he does twice the work ; if to a height of forty-eight feet, he does throe times the work ; if to sixty-four feet, he does four THE CONSTITUTION OF NATURE. 19 times the work, and so on. If, moreover, he carries up two pounds instead of one, other things being equal, he does twice the work ; if three, four, or five pounds, he does three, four, or five times the work. In fact, it is plain that the work performed depends on two factors, the weight raised and the height to which it is raised. It is expressed by the product of these two factors. But a body may be caused to reach a certain elevation in opposition to the force of gravity, without being actually carried up to the elevation. If a hodman, for example, wished to land a brick at an elevation of sixteen feet above the place where he stands, he would probably pitch it up to the bricklayer. He would thus impart, by a sudden effort, a velocity to the brick sufficient to raise it to the required height; the work accomplished by that effort being pre- cisely the same as if he had slowly carried up the brick. The initial velocity which must be imparted in the case here assumed, is well known. To reach a height of sixteen feet, the brick must quit the man's hand with a velocity of thirty-two feet a second. It is needless to say that a body starting with any velocity, would, if wholly unopposed or unaided, continue to move forever with the same velocity. But when, in the case before us, the body is thrown upward, it moves in opposition to gravity, which incessantly retards its motion, and finally brings it to rest at an elevation of sixteen feet. If not here caught by the bricklayer, it would return to the hodman with an accelerated motion, and reach his hand with the precise velocity it possessed on quitting it. Supposing the man competent to impart to the brick, at starting, a speed of sixty-four feet a second, or twice its former speed, would the amount of work performed in this effort be only twice what it was in the first instance ? No ; it would be four times that quantity. A body starting with twice the velocity of another, will rise to four times the 20 FRAGMENTS OF SCIENCE. height; in like manner, a threefold velocity will give a ninefold elevation, a fourfold velocity will give a sixteen- fold elevation, and so on. The height attained, then, or the work done, is not proportional to the velocity, but to the square of the velocity. As before, the work is also pro- portional to the weight elevated. Hence the work which any moving masses whatever are competent to perform,, by the motion which they at any moment possess, is jointly proportional to the weight and the square of the velocity. Here, then, we have a second measure of work, in which we simply translate the idea of height into its equivalent idea of motion. In mechanics, the product of the mass of a moving body into the square of its velocity, expresses what is called the vis viva, or living force. It is also sometimes called the "mechanical effect." If, for example, we point a cannon upward, and start a ball with twice the velocity imparted by a second cannon, the ball will rise to four times the height. The speedier ball, if directed against a target, will also do four times the execution. Hence the importance of imparting a high velocity to projectiles in war. Having thus cleared our way to a perfectly clear conception of the vis viva of moving masses, we are prepared for the an- nouncement that the heat generated by the collision of a falling body against the earth is proportional to the vis viva annihilated. In point of fact it is not an annihilation at all, but a transference of vis viva from the mass, to its ultimate particles. This, as we now learn, is proportional to the square of the velocity. In the case, therefore, of two cannon-balls of equal weight, if one strike a target with twice the velocity of the other, it will generate four times the heat ; if with three times the velocity, it will generate nine times the heat, and so on. Mr. Joule has shown that in falling from a height of 772 feet, a body will generate an amount of heat sufficient to THE CONSTITUTION OF NATURE. 21 raise its own weight of water one degree Fahrenheit in temperature. We have here the mechanical equivalent of heat. Now, a body falling from a height of 772 feet, has, upon striking the earth, a velocity of 223 feet a second ; and if this velocity were imparted to a body, by any other means, the quantity of heat generated by the stoppage of its motion would be that stated above. Six times that ve- locity, or 1,338 feet, would not be an inordinate one for a cannon-ball as it quits the gun ; but if animated by six times the velocity, thirty-six times the heat will be gener- ated by the stoppage of its motion. Hence a cannon-ball moving with a velocity of 1,338 feet a second, would, by collision, generate an amount of heat competent to raise its own weight of water 36 degrees Fahrenheit in tempera- ture. If composed of iron, and if all the heat generated were concentrated in the ball itself, its temperature would be raised about 360 degrees Fahrenheit ; because one de- gree in the case of water is equivalent to about ten de- grees in the case of iron. In artillery practice the heat generated is usually concentrated upon the front of the bolt, and on the portion of the target first struck. By this concentration the heat developed may become sufficiently intense to raise the dust of the metal to incandescence, a flash of light often accompanying collision with the target. Let us now fix our attention for a moment on the gun- powder which urges the cannon-ball. This is composed of combustible matter, which if burnt in the open air would yield a certain amount of heat. It will not yield this amount if it performs the work of urging a ball. The heat then generated by the gunpowder will fall short of that produced in the open air, by an amount equivalent to the vis viva of the ball ; and this exact amount is restored by the ball on its collision with the target. In this perfect way are heat and mechanical motion connected. Broadly enunciated, the principle of the conservation 22 FRAGMENTS OF SCIENCE. of force asserts that the quantity of force in the universe is as unalterable as the quantity of matter ; that it is alike impossible to create force and to annihilate it. But in what sense are we to understand this assertion ? It would be manifestly inapplicable to the force of gravity as New- ton defined it ; for this is a force varying inversely as the square of the distance, and to affirm the constancy of a varying force would be self-contradictory. Yet, when the question is properly understood, gravity forms no exception to the law of conservation. Following the method pur- sued by Helmholtz, I will here attempt an elementary ex- position of this law, which, though destined in its applica- tions to produce momentous changes in human thought, is not difficult of comprehension. For the sake of simplicity we will consider a particle of matter, which we may call F, to be perfectly fixed, and a second movable particle, D, placed at a distance from F. We will assume that these two particles attract each other according to the Newtonian law. At a certain distance the attraction is of a certain definite amount, which might be determined by means of a spring-balance. At half this dis- tance the attraction w r ould be augmented four times ; at a third of the distance it would be augmented nine times ; at one-fourth of the distance sixteen times, and so on. In every case the attraction might be measured by determin- ing, with the spring-balance, the amount of tension which is just sufficient to prevent D from moving toward F. Thus far we have nothing whatever to do with motion ; we deal with statics, not with dynamics. We simply take into account the distance of D from Jf 9 and the pull exerted by gravity at that distance. It is customary in mechanics to represent the magni- tude of a force by a line of a certain length, a force of double magnitude being represented by a line of double length, and so on. Placing then the particle D at a dis- THE CONSTITUTION OF NATURE. 23 tance from F, we can in imagination draw a straight line from D to F, and at D erect a perpendicular to this line, which shall represent the amount of the attraction exerted on D in this position. If D be at a very great distance from F the attraction will be very small, and the perpendic- ular consequently very short. Let us now suppose that at every point in the line joining F and D a perpendicular is erected proportional in length to the attraction exerted at that point ; we should thus obtain an infinite number of perpendiculars of gradually increasing length as D ap- proaches F. Uniting the ends of all these perpendiculars, we should obtain a curve, and between this curve and the straight line joining F and D we should have an area con- taining all the perpendiculars placed side by side. Each one of this infinite series of perpendiculars representing an attraction, or tension as it is sometimes called, the area just referred to represents the total effort capable of being ex- erted by the tensions upon the particle D, during its pas- sage from its first position up to F. Up to the present point we have been dealing with ten- sions, and not with motion. Thus far vis viva has been entirely foreign to our contemplation of D and F. Let us now suppose D placed at a practically infinite distance from F ; here the pull of gravity would be nothing, and the per- pendicular representing it would dwindle to a point. In this position the sum of the tensions capable of being ex- erted on D would be a maximum. Let D now begin to move in obedience to the attraction exerted upon it. Mo- tion being once set up, the idea of vis viva arises. In moving toward F the particle D consumes, as it were, the tensions. Let us fix our attention on D at any point of the path over which it is moving. Between that point and F there is a quantity of unused tensions ; beyond that point the tensions have been all consumed, but we have in their place an equivalent quantity of vis viva. After D has 24 FRAGMENTS OF SCIENCE. passed any point, the tension previously in store at that point disappears, but not without having added, during the infinitely small duration of its action, a due amount of motion to that previously possessed by D. The nearer D approaches to F, the smaller is the sum of the tensions re- maining, but the greater is the living force ; the farther D is from F, the greater is the sum of the unconsumed ten- sions, and the less is the living force. Now the principle of conservation affirms not the constancy of the value of the tensions of gravity, nor yet the constancy of the vis viva, taken separately, but the absolute constancy of the value of the sum of both. At the beginning the vis viva was zero and the tension area was a maximum ; close to F the vis viva is a maximum, while the tension area is zero. At every other point the work-producing power of the particle D consists in part of vis viva and in part of tensions. If gravity, instead of being attraction, were repulsion, when the particles are in contact, the sum of the tensions between two material particles D and F would be a maxi- mum, and the vis viva zero. If D, in obedience to the repulsion, moved away from F, vis viva would be gener- ated ; and the farther D retreated from F the greater would be its vis viva, and the less the amount of tension still available for producing motion. Taking repulsion into account as well as attraction, the principle of the conserva- tion of force affirms that the mechanical value of the ten- sions and vires vivce of the material universe is a constant quantity. The universe, in short, possesses two kinds of property which are mutually convertible, at an unvarying rate. The diminution of either carries with it the enhance- ment of the other, the total value of the property remain- ing unchanged. The considerations that we have here applied to gravity apply equally to chemical affinity. In a mixture of oxygen and hydrogen the atoms exist apart, but by the application THE CONSTITUTION OF NATURE. 25 of proper means they may be caused to rush together across the space that separates them. While this space exists, and as long as the atoms have not begun to move toward each other, we have tensions and nothing else. During their motion toward each other the tensions, as in the case of gravity, are converted into vis viva. After they clash we have still vis viva, but in another form. It was translation, it is vibration. It was molecular transfer, it is heat. The same considerations apply to a mixture of hydrogen and chlorine. When these gases are mingled in the dark they remain separate, but if a sunbeam fall upon the mixture the atoms rush together with detonation. Here also we have tension converted into molecular trans- lation, and molecular translation into heat and sound. It is possible to reverse these processes, to unlock the embrace of the atoms and replace them in their first posi- tions. But to accomplish this as much heat would be re- quired as was generated by their union. Such reversals occur daily and hourly in Nature. By the solar waves, the oxygen of water is divorced from its hydrogen in the leaves of plants. As molecular vis viva the waves disappear, but in so doing they reendow the atoms of oxygen and hydro- gen with tension. The atoms are thus enabled to recom- bine, and when they do so they restore the precise amount of heat consumed in their separation. The same remarks apply to the compound of carbon and oxygen, called car- bonic acid, which is exhaled from our lungs, produced by our fires, and found sparingly diffused everywhere through- out the air. In the leaves of plants the sunbeams also wrench these atoms asunder, and sacrifice themselves in the act ; but when the plants are burnt the amount of heat consumed in their production is restored. This, then, is the rhythmic play of Nature as regards her forces. Throughout all her regions she oscillates from tension to vis viva, from vis viva to tension. We have 2 26 FRAGMENTS OF SCIENCE. the same play in the planetary system. The earth's orbit is an ellipse, one of the foci of which is occupied by the sun. Imagine the earth at the most distant part of the orbit. Her motion, and consequently her vis viva, is then a minimum. The planet rounds the curve, and begins to approach the sun. In front it has a store of tensions, which is gradually consumed, an equivalent amount of vis viva being generated. When nearest to the sun the mo- tion, and consequently the vis viva, is a maximum. But here the available tensions have been used up. The earth rounds this portion of the curve and retreats from the sun. Tensions are now stored up, but vis viva is lost, to be again restored at the expense of the complementary force on the opposite side of the curve. Thus beats the heart of the universe, but without increase or diminution of its total stock of force. I have thus far tried to steer clear amid confusion by fixing the mind of the reader upon things rather than upon names. But good names are essential ; and here, as yet, we are not provided with such. We have had the force of gravity and living force two utterly distinct things. We have had pulls and tensions ; and we might have had the force of heat, the force of light, the force of magnetism, or the force of electricity all of which terms have been em- ployed more or less loosely by writers on . physics. This confusion is happily avoided by the introduction of the term " energy," embracing under it both tension and vis viva. Energy is possessed by bodies already in motion ; it is then actual, and we agree to call it actual or dynamic energy. It is our old vis viva. On the other hand, energy is possible to bodies not in motion, but which, in virtue of attraction or repulsion, possess a power of motion which would realize itself if all hinderances were removed. Looking, for example, at gravity, a body on the earth's surface in a position from which it cannot fall to a lower THE CONSTITUTION OF NATURE. 27 one possesses no energy. It has neither motion nor power of motion. But the same body suspended at a height above the earth has a power of motion though it may not have exercised it. Energy is possible to such a body, and we agree to call this potential energy. It embraces our old tensions. We, moreover, speak of the conservation of en- ergy instead of the conservation of force ; and say that the sum of the potential and dynamic energies of the material universe is a constant quantity. A body cast upward consumes the actual energy of projection, and lays up potential energy. When it reaches its utmost height all its actual energy is consumed, its potential energy being then a maximum. When it re- turns, there is a reconversion of the potential into the actual. A pendulum at the limit of its swing possesses potential energy ; at the lowest point of its arc its energy is all actual. A patch of snow resting on a mountain-slope has potential energy ; loosened, and shooting down as an avalanche, it possesses dynamic energy. The pine-trees growing on the Alps have potential energy ; but rushing down the Holzrinne of the wood-cutters they possess actual energy. The same is true of the mountains themselves. As long as the rocks w T hich compose them can fall to a lower level, they possess potential energy, which is con- verted into actual when the frost ruptures their cohesion and hands them over to the action of gravity. The hammer of the great bell of Westminster, when raised before strik- ing, possesses potential energy ; when it falls, the energy becomes dynamic ; and after the stroke, we have the rhythmic play of potential and dynamic in the vibrations of the bell. The same holds good for the molecular oscilla- tions of a heated body. An atom is pressed against its neighbor, and recoils. But the ultimate amplitude of the recoil is soon attained, the motion of the atom in that direction is checked, and for an instant its energy is all 28 FRAGMENTS OF SCIENCE. potential. It is then drawn toward 'its neighbor with accelerated speed, thus, by attraction, converting its poten- tial into dynamic energy. Its motion in this direction is also finally checked, and, for an instant, again its energy is all potential. It again retreats, converting, by repulsion, its potential into dynamic energy, till the latter attains a maximum, after which it is again changed into potential energy. Thus, what is true of the earth, as she swings to and fro in her yearly journey round the sun, is also true of her minutest atom. We have wheels within wheels, and rhythm within rhythm. When a body is heated, a change of molecular arrange- ment always occurs, and to produce this change heat is consumed. Hence, a portion only of the heat communi- cated to the body remains as dynamic energy. Looking back on some of the statements made at the beginning of this article, now that our knowledge is more extensive, we see the necessity of qualifying them. When, for example, two bodies clash, heat is generated ; but the heat, or molec- ular dynamic energy, developed at the moment of collision, is not the equivalent of the sensible dynamic energy de- stroyed. The true equivalent is this heat, plus the potential energy conferred upon the molecules by the placing of greater distances between them. This molecular potential energy is afterward, on the cooling of the body, converted into heat. Wherever two atoms capable of uniting together by their mutual attractions exist separately, they form a store of potential energy. Thus our woods, forests, and coal- fields on the one hand, and our atmospheric oxygen on the other, constitute a vast store of energy of this kind vast, but far from infinite. We have, besides our coal-fields, bodies in the metallic condition more or less sparsely dis- tributed in the earth's crust. These bodies can be oxidized, and hence are, so far as they go, stores of potential energy. THE CONSTITUTION OF NATURE. 29 But the attractions of the great mass of the earth's crust are already satisfied, and from them no further energy can possibly be obtained. Ages ago the elementary constitu- ents of our rocks clashed together and produced the motion of heat, which was taken up by the ether and carried away through stellar space. It is lost forever as far as we are concerned. In those ages the hot conflict of carbon, oxygen, and calcium, produced the chalk and limestone hills which are now cold ; and from this carbon, oxygen, and calcium, no further energy can be derived. And so it is with almost all the other constituents of the earth's crust. They took their present form in obedience to mo- lecular force ; they turned their potential energy into dy- namic, and gave it to the universe ages before man appeared upon this planet. For him a residue of potential energy remains, vast truly in relation to the life and wants of an individual, but exceedingly minute in comparison with the earth's primitive store. To sum up. The whole stock of energy or worJeing- power in the world consists of attractions, repulsions, and motions. If the attractions and repulsions are so circum- stanced as to be able to produce motion, they are sources of working-power, but not otherwise. As stated a moment ago, the attraction exerted between the earth and a body at a distance from the earth's surface is a source of working- power; because the body can be moved by the attraction, and in falling to the earth can perform work. When it rests upon the earth's surface it is not a source of power or energy, because it can fall no farther. But though it has ceased to be a source of energy, the attraction of gravity still acts as & force, which holds the earth and weight together. The same remarks apply to attracting atoms and mole- cules. As long as distance separates them, they can move across it in obedience to the attraction, and the motion thus produced may, by proper appliances, be caused to 30 FRAGMENTS OF SCIENCE. perform mechanical work. When, for example, two atoms of hydrogen unite with one of oxygen, to form water, the atoms are first drawn toward each other they move, they clash, and then, by virtue of their resiliency, they recoil and quiver. To this quivering motion we give the name of heat. Now this atomic vibration is merely the redistribu- tion of the motion produced by the chemical affinity ; and this is the only sense in which chemical affinity can be said to be converted into heat. We must not imagine the chemical attraction destroyed, or converted into any thing else. For the atoms when mutually clasped to form a molecule of water, are held together by the very attraction which first drew them toward each other. That which has really been expended is the pull exerted through the space by which the distance between the atoms has been diminished. If this be understood it will be at once seen that gravity may in this sense be said to be convertible into heat ; that it is in reality no more an outstanding and inconvertible agent, as it is sometimes stated to be, than chemical affin- ity. By the exertion of a certain pull through a certain space a body is caused to clash with a certain definite velocity against the earth. Heat is thereby developed, and this is the only sense in which gravity can be said to be converted into heat. In no case is the force which pro- duces the motion annihilated or changed into any thing else. The mutual attraction of the earth and weight exists when they are in contact as when they were separate ; but the ability of that attraction to employ itself in the production of motion does not exist. The transformation, in this case, is easily followed by the mind's eye. First, the weight as a whole is set in motion by the attraction of gravity. This motion of the mass is arrested by collision with the earth, being broken up into molecular tremors, to which we give the name of heat. And when we reverse the process, and employ those THE CONSTITUTION OF NATURE. 31 tremors of heat to raise a weight, as is done through the intermediation of an elastic fluid in the steam-engine, a certain definite portion of the molecular motion is de- stroyed in raising the weight. In this sense, and this sense only, can the heat be said to be converted into gravity, or, more correctly, into potential energy of gravity. It is not that the destruction of the heat has created any new attraction, but simply that the old attraction has now a power conferred upon it, of exerting a certain definite pull in the interval between the starting-point of the falling weight and its collision with the earth. When, therefore, writers on the conservation of energy speak of tensions being " consumed " and " generated," they do not mean thereby that old attractions have been an- nihilated, and new ones brought into existence, but that, in the one case, the power of the attraction to produce motion has been diminished by the shortening of the dis- tance between the attracting bodies, and that in the other case the power of producing motion has been augmented by the increase of the distance. These remarks apply to all bodies, whether they be sensible masses or molecules. Of the inner quality that enables matter to attract matter we know nothing; and the law of conservation makes no statement regarding that quality. It takes the facts of attraction as they stand, and affirms only the con- stancy of working-power. That power may exist in the form of MOTION ; or it may exist in the form of FORCE, with distance to act through. The former is dynamic energy, the latter is potential energy, the constancy of the sum of both being affirmed by the law of conservation. The con- vertibility of natural forces consists solely in transforma- tions of dynamic into potential, and of potential into dy- namic energy, which are incessantly going on. In no other sense has the convertibility of force, at present, any scien- tific meaning. II. THOUGHTS ON PRAYER AND NATURAL LAW. AN EXTRACT. [Mountaineering in 1861, p. 33.] 'Aber im stillen Gemach entwirft bedcutendc Zirkel Sinnend der Weise. Folgt durcli die Liifte dem Klang, folgt durch den Aether dem Stralil, Sucht das vertraute Gesetz in des Zufalls grausenden Wundern, Sucht den ruhenden Pol in der Erscheinungen Flucht." SCHILLER. II. PRAYER AND NATURAL LAW. THE aspects of Nature are more varied and impressive in Alpine regions than elsewhere. The mountains in their setting of deep-blue sky ; the glow of firmament and peaks at sunrise and sunset ; the formation and distribution of clouds ; the descent of rain, hail, and snow ; the stealthy slide of glaciers and the rush of avalanches and rivers ; the fury of storms ; thunder and lightning, with their occasional accompaniment of blazing woods all these things tend to excite the feelings and to bewilder the mind. In this entanglement of phenomena it seems hopeless to seek for law or orderly connection. And before the thought of law dawned upon the human mind men natu- rally referred these inexplicable effects to personal agency. The savage saw in the fall of a cataract the leap of a spirit, and the echoed thunder-peal was to him the hammer-clang of an exasperated god. Propitiation of these terrible powers was the consequence, and sacrifice was offered to the demons of earth and air. But observation tends to chasten the emotions and to check those structural efforts of the intellect which have emotion for their base. One by one natural phenomena have been associated with their proximate causes; and the idea of direct personal volition mixing itself in the! economy of Nature is retreating more and more. Many of us fear this tendency ; our faith and feelings are dear to us, 36 FRAGMENTS OF SCIENCE. and we look with suspicion and dislike on any philosophy, the apparent tendency of which is to dry up the soul. Probably every change from ancient savagery to our present enlightenment excited, in a greater or less degree, a fear of this kind. But the fact is, that we have not yet deter- mined whether the form under which they now appear in the world is necessary to the life and warmth of religious feeling. We may err in linking the imperishable with the transitory, and confound the living plant with the decaying r -pole to which it clings. My object, however, at present is j not to argue, but to mark a tendency. We have ceased to propitiate the powers of Nature ceased even to pray for things in manifest contradiction to natural laws. In Prot- estant countries, at least, I think it is conceded that the age of miracles is past. The general question of miracles is at present in able and accomplished hands ; and were it not so, my polemical acquirements are so limited, that I should not presume to enter upon a discussion of this subject on its entire merits. But there is one little outlying point,' which attaches itself x to this question, on which a student of science, without quitting the ground which strictly belongs to him, may offer a remark. At the auberge near the foot of the Rhone glacier, I met, in the summer of 1858, an athletic young priest, who, after a solid breakfast, including a bottle of wine, informed me that he had come up to " bless the mountains." This was the annual custom of the place. Year by year the Highest was entreated, by official intercessors, to make such meteorological arrangements as should insure food and shelter for the flocks and herds of the Valaisians. A diversion of the Rhone, or a deepening of the river's bed, would have been of incalculable benefit to the inhabitants of the valley at the time I now mention. But the priest would have shrunk from the idea of asking the Omnipo- PRAYER AND NATURAL LAW. 37 tent to open a new channel for the river, or to cause a portion of it to flow over the Grimsel Pass, and down the vale of Oberhasli to Brientz. This he would have deemed a miracle, and he did not come to ask the Creator to per- form miracles, but to do something which he manifestly thought lay quite within the bounds of the natural and non-miraculous. A Protestant gentleman, who was present at the time, smiled at this recital. He had no faith in the priest's blessing, still he deemed his prayer different in kind from a request to open a new river-cut, or to cause the water to flow up-hill. In a similar manner we Protestants smile at the honest Tyrolese priest, who, when he feared the bursting of a glacier-dam, offered the sacrifice of the mass upon the ice as a means of averting the calamity. That poor man did not expect to convert the ice into adamant, or to strengthen its texture so as to enable it to withstand the pressure of the water ; nor did he expect that his sacrifice would cause the stream to roll back upon its source and relieve him, by a miracle, of its presence. But beyond the boundaries of his knowledge lay a region where rain w T as generated, he knew not how. He was not so presumptuous as to expect a miracle, but he firmly believed that in yonder cloud-land matters could be so arranged, without trespass on the miraculous, that the stream which threatened him and his flock should be caused to shrink within its proper bounds. Both these priests fashioned that which they did not understand to their respective wants and wishes. In their case imagination wrought, unconditioned by a knowledge of laws. A similar state of mind was long prevalent among mechanicians ; many of whom, and some of them extremely skilful ones, were occupied a century ago with the question of a perpetual motion. They aimed at con- structing a machine which should execute work without the expenditure of power ; and many of them went mad 38 FRAGMENTS OF SCIENCE. in the pursuit of this object. The faith in such a consum- mation, involving as it did immense personal interest to the inventor, was extremely exciting, and every attempt to destroy this faith was met by bitter resentment on the part of those who held it. Gradually, however, as men became more and more acquainted with the true functions of machinery, the dream dissolved. The hope of getting work out of mere mechanical combinations disappeared; but still there remained for the speculator a cloud-land denser than that which filled the imagination of the Tyrol- ese priest, and out of which he still hoped to evolve per- petual motion. There was the mystic store of chemic force, which nobody understood; there were heat and light, electricity and magnetism, all competent to produce mechanical motions. 1 Here, then, is the mine in which we must seek our gem. A modified and more refined form of the ancient faith revived ; and, for aught I know, a rem- nant of sanguine designers may at the present moment be engaged on the problem which like-minded men in former years left unsolved. And why should a perpetual motion, even under modern conditions, be impossible ? The answer to this question is the statement of that great generalization of modern sci- ence, which is known under the name of the Conservation of Energy. This principle asserts that no power can make its appearance in Nature without an equivalent expenditure of some other power ; that natural agents are so related to each other as to be mutually convertible, but that no new agency is created. Light runs into heat ; heat into elec- tricity ; electricity into magnetism ; magnetism into me- chanical force ; and mechanical force again into light and heat. The Proteus changes, but he is ever the same ; and his changes in Nature, supposing no miracle to supervene, are the expression, not of spontaneity, but of physical neces- 1 See Helmholtz " Wechselwirkung der Naturkrafte." PRAYER AND NATURAL LAW. 39 sity. A perpetual motion, then, is deemed impossible, be- cause it demands the creation of force, whereas the principle of Conservation is, no creation but infinite conversion. It is an old remark that the law which moulds a tear also rounds a planet. In the application of law in Nature the terms great and small are unknown. Thus the principle referred to teaches us that the Italian wind gliding over the crest of the Matterhorn is as firmly ruled as the earth in its orbital revolution round the sun ; and that the fall of its vapor into clouds is exactly as much a matter of neces- sity as the return of the seasons. The dispersion, there- fore, of the slightest mist by the special volition of the Eternal, would be as much a miracle as the rolling of the Rhone over the Grimsel precipices and down Haslithal to Brientz. It seems to me quite beyond the present power of science, to demonstrate that the Tyrolese priest, or his colleague of the Rhone valley, asked for an " impossibility " in praying for good weather ; but science can demonstrate the incompleteness of the knowledge of Nature w r hich limited their prayers to this narrow ground ; and she may lessen the number of instances in which we " ask amiss," by showing that we sometimes pray for the performance of a miracle when we do not intend it. She does assert, for example, that, without a disturbance of natural law, quite as serious as the stoppage of an eclipse, or the rolling of the St. Lawrence up the Falls of Niagara, no act of humiliation, individual or national, could call one shower from heaven, or deflect toward us a single beam of the sun. Those, therefore, who believe that the miraculous is still active in Nature, may, with perfect consistency, join in our periodic prayers for fair weather and for rain : while those who hold that the age of miracles is past, will refuse to join in such petitions. And if these latter wish to fall back upon such a justification, they may fairly urge that the 40 FRAGMENTS OF SCIENCE. latest conclusions of science are in perfect accordance with the doctrine of the Master Himself, which manifestly was that the distribution of natural phenomena is not affected by moral or religious causes. " He maketh His sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust." Granting " the power of Free-will in man," so strongly claimed by Professor Mansel in his ad- mirable defence of the belief in miracles, and assuming the efficacy of free prayer to produce changes in external Nature, it necessarily follows that natural laws are more or less at the mercy of man's volition, and no conclusion founded on the assumed permanence of those laws would be worthy of confidence. It is a wholesome sign for England that she numbers among her clergy men wise enough to understand all this, and courageous enough to act up to their knowledge. Such men do service to the public character by encourag- ing a manly and intelligent conflict with the causes of disease and scarcity, instead of a delusive reliance on supernatural aid. But they have also a value beyond this local and temporary one. They prepare the public mind for changes which, though inevitable, could hardly, without such preparation, be wrought without violence. Iron is strong ; still, water in crystallizing will shiver an iron envelope, and the more unyielding the metal is, the worse for its safety. There are men among us who would encom- pass philosophic speculation by a rigid envelope, hoping- thereby to restrain it, but in reality giving it explosive force. If we want an illustration of this we have only to look at modern Rome. In England, thanks to men of the stamp to which I have alluded, scope is gradually given to thought for changes of aggregation, and the envelope slowly alters its form in accordance with the necessities o/ the time. THE proximate origin of the foregoing slight article, and probably the remoter origin of the next following one, was this : Some years ago, a day of prayer and humiliation, on account of a bad harvest, was ap- pointed by the proper religious authorities ; but certain clergymen of the Church of England, doubting the wisdom of the demonstration, declined to join in the services of the day. For this act of nonconformity they were severely censured by some of their brethren. Rightly or wrongly, my sympathies were on the side of these men ; and, to lend them a help- ing hand in their struggle against odds, I inserted the foregoing chapter in the little book mentioned on the title-page. Some time subsequently I received from a gentleman of great weight and distinction in the scien- tific world, and, I believe, of perfect orthodoxy in the religious one, a note directing my attention to an exceedingly thoughtful article on Prayer and Cholera in the Pall Mall Gazette. My eminent correspondent deemed the article a fair answer to the remarks made by me in 1861. I also was struck by the temper and ability of the article, but I could not deem its arguments satisfactory, and, in a short note to the editor of the Pall Mall Gazette, I ventured to state so much. This letter elicited some very able replies, and a second leading article was also devoted to the subject. In answer to all, I risked the publication of a second letter, and soon afterward, by an extremely courteous note from the editor, the discussion was closed. Though thus stopped locally, the discussion flowed in other directions. Sermons were preached, essays were published, articles were written, while a copious correspondence occupied the pages of some of the re- ligious newspapers. It gave me sincere pleasure to notice that the dis- cussion, save in a few cases where natural coarseness had the upper hand, was conducted with a minimum of vituperation. The severity shown was hardly more than sufficient to demonstrate earnestness, while gentlemanly feeling was too predominant to permit that earnestness to contract itself to bigotry or to clothe itself in abuse. It was probably the memory of this discussion which caused another excellent friend of mine to recommend to my perusal the exceedingly able work which in the next article I have endeavored to review. IIL MIRACLES AND SPECIAL PROVIDENCES. A REVIEW. [Fortnightly Review, New Series, vol. i., p. 645.] " Mr. Mozley's book belongs to that class of writing of which Butler may be taken as the type. It is strong, genuine argument about difficult matters, fairly tracing what is difficult, fairly trying to grapple, not with what appears the gist and strong point of a question, but with what really at bottom is the knot of it. It is a book the reasoning of which may not satisfy every one. . . . But we think it is a book for people who wish to see a great subject handled on a scale which befits it, and with a percep- tion of its real elements. It is a book which will have attractions for those who like to see a powerful mind applying itself, without shrinking or holding back, without trick, or reserve, or show of any kind, as a wrestler closes body to body with his antagonist, to the strength of an adverse and powerful argument." The Times, Tuesday, June 5, 1866. " We should add, that the faults of the work are wholly on the surface and in the arrangement ; that the matter is as solid and as logical as that of any book within recent memory, and that it abounds in striking pas- sages, of which we have scarcely been able even to give a sample. No future arguer against miracles can afford to pass it over." Saturday Re- view, September 15, 1866. III. MIRACLES AND SPECIAL PROVIDENCES. IT is my privilege to enjoy the friendship of a select number of religious men, with whom I converse frankly upon theological subjects, expressing without disguise the notions and opinions I entertain regarding their tenets, and hearing in return these notions and opinions subjected to criticism. I have thus far found them liberal and loving men, patient in hearing, tolerant in reply, who know how to reconcile the duties of courtesy with the earnestness of debate. From one of these, nearly a year ago, I received a note, recommending strongly to my attention the volume of " Bampton Lectures " for 1865, in which the question of miracles is treated by Mr. Mozley. Previous to receiving this note, I had in part made the acquaintance of the work, through the able and elaborate review of it which had ap- peared in the Times. The combined effect of the letter and the review was to make the book the companion of my summer tour in the Alps. There, during the wet and snowy days which were only too prevalent last year, and during the days of rest interpolated between days of toil, I made myself more thoroughly conversant with Mr. Moz- ley's volume. I found it clear and strong an intellectual tonic, as bracing and pleasant to my mind as the keen air of the mountains was to my body. From time to time I jotted down my thoughts regarding it, intending afterward, if time permitted, to work them up into a coherent whole. 46 FRAGMENTS OF SCIENCE. Other duties, however, interfered with the carrying out of this intention, and what I wrote last summer I now pub- lish, not hoping within any reasonable time to be able to render my defence of scientific method more complete. Mr. Mozley refers at the outset of his task to the move- ment against miracles which of late years has taken place, and which determined his choice of a subject. He acquits modern science of having had any great share in the pro- duction of this movement. The objection against miracles, he says, does not arise from any minute knowledge of the laws of Nature, but simply because they are opposed to that plain and obvious order of Nature which everybody sees. The present movement is, he thinks, to be ascribed to the greater earnestness and penetration of the present age. Formerly miracles were accepted without question, because without reflection ; but the exercise of what Mr. Mozley calls the historic imagination is a characteristic of our own time. Men are now accustomed to place before themselves vivid images of historic facts, and when a miracle rises to view, they halt before the astounding occurrence, and real- izing it with the same clearness as if it were now passing before their eyes, they ask themselves, " Can this have taken place ? " In some instances the effort to answer this question has led to a disbelief in miracles, in others to a strengthening of belief. The end and aim of Mr. Mozley's lectures is to show that the strengthening of belief is the logical result which ought to follow from the examination of the facts. Attempts have been made by religious men to bring the Scripture miracles within the scope of the order of Nature, but all such attempts are rejected by Mr. Mozley as utterly futile and wide of the mark. Regarding mira- cles as a necessary accompaniment of a revelation, their evidential value in his eyes depends entirely upon their deviation from the order of Nature. Thus deviating, they MIRACLES AND SPECIAL PROVIDENCES. 47 suggest and illustrate to him a power higher than Nature, a " personal will ; " and they commend the person in whom this power is vested as a messenger from on high. With- out these credentials such a messenger would have no right to demand belief, even though his assertion regarding his divine mission were backed by a holy life. Nor is it by miracles alone that the order of Nature is, or may be, dis- turbed. The material universe is also the arena of " spe- cial providences." Under these two heads Mr. Mozley dis- turbs the total preternatural. One form of the preternatural may shade into the other, as one color passes into another in the rainbow ; but while the line which divides the spe- cially providential from the miraculous cannot be sharply drawn, their distinction broadly expressed is this, that while a special providence can only excite surmise more or less probable, it is " the nature of a miracle to give proof, as distinguished from mere surmise of divine de- sign." ^ Mr. Mozley adduces various illustrations of what he re- gards to be special providences as distinguished from mira- cles. " The death of Arius," he says, " was not miraculous, because the coincidence of the death of a heresiarch taking- place when it was peculiarly advantageous to the orthodox faith .... was not such as to compel the inference of ex- traordinary Divine agency ; but it was a special providence, because it carried a reasonable appearance of it. The mir- acle of the Thundering Legion was a special providence, but not a miracle, for the same reason, because the coinci- dence of an instantaneous fall of rain in answer to prayer carried some appearance, but not proof, of preternatural agency." The eminent lecturer's remarks on this head brought to my recollection certain narratives published in Methodist magazines, which I used to read with avidity when a boy. The title of these chapters, if I remember right, was " The Providence of God asserted," and in them 48 FRAGMENTS OF SCIENCE. the most extraordinary and exciting escapes from peril were recounted and ascribed to prayer, while equally wonderful instances of calamity were adduced as illustrations of Di- vine retribution. In such magazines, or elsewhere, I found recorded the case of the celebrated Samuel Hick, which, as it illustrates a whole class of special providences, approach- ing in conclusiveness to miracles, is worthy of mention here. It is related of this holy man and I, for one, have no doubt of his holiness that flour was lacking to make the sacra- mental bread.- Grain was present, and a windmill was present, but there was no wind to grind the corn. With faith, undoubting Samuel Hick prayed to the Lord of the winds : the sails turned, the corn was ground, after which the wind ceased. According to the canon of the Bampton Lecturer, this, though carrying a strong appearance of an immediate exertion of Divine energy, lacks by a hair's- breadth the quality of a miracle. For the wind might have arisen, and might have ceased, in the ordinary course of Nature. Hence the occurrence did not " compel the infer- ence of extraordinary Divine agency." In like manner Mr. Mozley considers that "the appearance of the cross to Con stan tine was a miracle, or a special providence, ac- cording to which account of it we adopt. As only a mete- oric appearance in the shape of a cross it gave some token of preternatural agency, but not full evidence." In the Catholic canton of Switzerland where I now write, and still more among the pious Tyrolese, the moun- tains are dotted with shrines, containing offerings of all kinds, in acknowledgment of special mercies legs, feet, arms, and hands of gold, silver, brass, and wood, according as worldly possessions enabled the grateful heart to express its indebtedness. Most of these offerings are made to the Virgin Mary. They are recognitions of "special provi- dences," wrought through the instrumentality of the Mother of God. Mr. Mozley's belief, that of the Methodist chron- MIRACLES AND SPECIAL PROVIDENCES. 49 icier, and that of the Tyrolese peasant, are substantially the^ same. Each of them assumes that Nature, instead of flow- ing ever onward in the uninterrupted rhythm of cause and effect, is mediately ruled by the free human will. As re- gards direct action upon natural phenomena, man's will is confessedly powerless, but it is the trigger which, by its own free action, liberates the Divine power. In this sense, and to this extent, man, of course, commands Nature. Did the existence of this belief depend solely upon the material benefits derived from it, it could not, in my opinion, last a decade. As a purely objective fact we should soon see that the distribution of natural phenomena is unaffected by the merits or the demerits of man ; that the law of gravi- tation crushes the simple worshippers of Ottery St. Mary, while singing their hymns, just as surely as if they were engaged in a midnight brawl. The hold of this belief upon the human mind is not due to outward verification, but to the inner warmth, force, and elevation with which it is com- monly associated. It is plain, however, that these feelings may exist under the most various forms. They are not limited to Church of England Protestantism they are not even limited to Christianity. Though less refined, they are certainly not less strong, in the heart of the Methodist and the Tyrolese than in the heart of Mr. Mozley. Indeed, those feelings belong to the primal powers of man's nature. A " skeptic " may have them. They find vent in the battle- cry of the Moslem. They take hue and form in the hunting- grounds of the red Indian ; and raise all of them, as they raise the Christian, upon a wave of victory, above the ter- rors of the grave. The character, then, of a miracle, as distinguished from a special providence, is that the former furnishes proof, while in the case of the latter we have only surmise. Dis- solve the element of doubt, and the alleged fact passes from the one class of the preternatural into the other. In other 3 50 FRAGMENTS OF SCIENCE. words, if a special providence could be proved to be a spe- cial providence, it would cease to be a special providence and become a miracle. There is not the least cloudiness about Mr. Mozley's meaning here. A special providence is a doubtful miracle. Why, then, not use the correct phra- seology ? The term employed conveys no negative sug- gestion, whereas the negation of certainty is the peculiar characteristic of the thing intended to be expressed. There is an apparent unwillingness on the part of Mr. Mozley to call a special providence what his own definition makes it to be. Instead of speaking of it as a doubtful miracle, he calls it " an invisible miracle." He speaks of the point of contact of supernatural power with the chain of causation being so high up as to be wiiolly, or in part, out of sight, whereas the essence of a special providence is the uncer- tainty whether there is any contact at all, either high or low. By the use of an incorrect term, however, a grave danger is avoided. For the idea of doubt, if kept system- atically before the mind, would soon be fatal to the special providence as a means of edification. The term employed, on the contrary, invites and encourages the trust which is necessary to supplement the evidence. This inner trust, though at first rejected by Mr. Mozley in favor of external proof, is subsequently called upon to do momentous duty with regard to miracles. Whenever the evidence of the miraculous seems incommensurate with the fact which it has to establish, or rather when the fact is so amazing that hardly any evidence is sufficient to estab- lish it, Mr. Mozley invokes "the affections." They must urge the reason to accept the conclusion from which unaided it recoils. The affections and emotions are eminently the court of appeal in matters of real religion, which is an affair of the heart, but they are not, I submit, the court in which to weigh allegations regarding the credibility of physical facts. These must be judged by the dry light of the intel- MIRACLES AND SPECIAL PROVIDENCES. 51 lect alone, appeals to the affections being reserved for cases where moral elevation, and not historic conviction, is the aim. It is, moreover, because the result, in the case under consideration, is deemed desirable that the affections are called upon to back it. If undesirable, they would, with equal right, be called upon to act the other way. Even to the disciplined scientific mind this would be a dangerous doctrine. A favorite theory the desire to establish or avoid a certain result can so warp the mind as to destroy its power of estimating facts. I have known men to work for years under a fascination of this kind, unable to extri- cate themselves from its fatal influence. They had certain data, but not, as it happened, enough. By a process exactly analogous to that invoked by Mr. Mozley they supplemented the data, and went wrong. From that hour their intellects were so blinded to the perception of adverse phenomena that they never reached truth. If, then, to the disciplined scientific mind, this incongruous mixture of proof and trust be fraught with danger, what must it be to the indiscrimi- nate audience which Mr. Mozley addresses ? In calling upon this agency he acts the part of Frankenstein. It is the monster thus evoked that we see stalking abroad, in the so-called spiritualistic phenomena of the present day. Again, I say, where the aim is to elevate the mind, to quicken the moral sense, to kindle the fire of religion in the soul, let the affections by all means be invoked ; but they must not be permitted to color our reports, or to influence our acceptance of reports of occurrences in external Nature. Testimony as to natural facts is usually worthless when wrapped in this atmosphere of the affections, the most earnest subjective truth being thus rendered perfectly com- patible with the most astounding objective error. There are questions in judging of which the affections or sympathies are often our best guides, the estimation of moral goodness being one of these. But at this precise 52 FRAGMENTS OF SCIENCE. point, where they are really of use, Mr. Mozley excludes the affections, and demands a miracle as a certificate of character. He will not accept any other evidence of the perfect goodness of Christ. " No outward life or conduct," he says, " however irreproachable, could prove His perfect sinlessness, because goodness depends upon the inward motive, and the perfection of the inward motive is not proved by the outward act." But surely the miracle is an outward act, and to pass from it to the inner motive im- poses a greater strain upon logic than that involved in our ordinary methods of estimating men. There is, at least, moral congruity between the outward goodness and the inner life, but there is no such congruity between the mira- cle and the life within. The test of moral goodness laid down by Mr. Mozley is not the test of John, who says, " He that doeth righteousness is righteous ; " nor is it the test of Jesus " By their fruits ye shall know them ; do men gather grapes of thorns, or figs of thistles ? " But it is the test of another : " If thou be the Son of God, command that these stones be made bread." For my own part, I prefer the attitude of Fichte to that of Mr. Mozley. " The Jesus of John," says this noble and mighty thinker, " knows no other God than the True God, in whom we all are, and live, and may be blessed, and out of whom there is only Death and Nothingness. And he appeals, and rightly appeals, in support of this truth, not to reasoning, but to the inward practical sense of truth in man, not even knowing any other proof than this inward testimony, 4 If any man will do the will of Him who sent me, he shall know of the doctrine whether it be of God." ' Accepting Mr. Mozley's test, with which alone I am now dealing, it is evident that, in the demonstration of moral goodness, the quantity of the miraculous comes into play. Had Christ, for example, limited Himself to the conversion of water into wine, He would have fallen short of the per- MIRACLES AND SPECIAL PROVIDENCES. 53 formance of Jannes and Jambres, for it is a smaller thing to convert one liquid into another than to convert a dead rod into a living serpent. But Jannes and Jambres, we are in- formed, were not good. Hence, if Mr. Mozley's test be a true one, a point must exist, on the one side, of which miraculous power demonstrates goodness, while on the other side it does not. How is this " point of contrary flexure " to be determined? It must lie somewhere between the magicians and Moses, for within this space the power passed from the diabolical to the Divine. But how to mark the point of passage how, out of a purely quantitative differ- ence in the visible manifestation of power we are to infer a total inversion of quality it is extremely difficult to see. Moses, we are informed, produced a large reptile, Jannes and Jambres produced a small one. I do not possess the intellectual faculty which would enable me to infer from those data either the goodness of the one or the badness of the other ; and in the highest recorded manifestations of the miraculous I am equally at a loss. Let us not play fast and loose with the miraculous ; either it is a demonstration of goodness in all cases or in none. If Mr. Mozley accepts Christ's goodness as transcendent, because He did such works as no other man did, he ought, logically speaking, to accept the works of those who, in His name, had cast out devils, as demonstrating a proportionate goodness on their part. But it is people of this class who are consigned to everlasting fire prepared for the devil and his angels. Such zeal as that of Mr. Mozley for miracles tends, I fear, to eat his religion up. The logical threatens to stifle the spiritual. The truly religious soul needs no miraculous proof of the goodness of Christ. The words addressed to Matthew at the receipt of custom required no miracle to produce obedi- ence. It was by no stroke of the supernatural that Jesus caused those sent to seize Him to go backward and fall to the ground. It was the sublime and holy effluence from 54 FRAGMENTS OF SCIENCE. within, which needed no prodigy to commend it to the rev- erence even of his foes. As regards the function of miracles in the founding of a religion, Mr. Mozley institutes a comparison between the religion of Christ and that of Mahomet, and he derides the latter as " irrational " because it does not profess to adduce miracles in proof of its supernatural origin. But the re- ligion of Mahomet, notwithstanding this drawback, has thriven in the world, and at one time it held sway over larger populations than Christianity itself. The spread and influence of Christianity are, however, brought forward by Mr. Mozley as " a permanent, enormous, and incalculable practical result" of Christian miracles; and he actually makes use of this result to strengthen his plea for the mirac- ulous. His logical warrant for this proceeding is not clear. It is the method of science, when a phenomenon presents itself, to the production of which several elements may con- tribute, to exclude them one by one, so as to arrive at length at the truly effective cause. Heat, for example, is associated with a phenomenon ; we exclude heat, but the phenomenon remains : hence, heat is not its cause. Mag- netism is associated with a phenomenon ; we exclude mag- netism, but the phenomenon remains : hence, magnetism is not its cause. Thus, also, when we seek the cause of the diffusion of a religion whether it be due to miracles or to the spiritual force of its founders we exclude the miracles, and, finding the result unchanged, we infer that miracles are not the effective cause. This important experiment Mahometanism has made for us. It has lived and spread without miracles ; and to assert, in the face of this, that Christianity has spread because of miracles, is not more op- posed to the spirit of science than to the common-sense of mankind. The incongruity of inferring moral goodness from mirac- ulous power has been dwelt upon above ; in another par- MIRACLES AND SPECIAL PROVIDENCES. 55 ticular also the strain put upon miracles by Mr. Mozley is, I think, more than they can bear. In consistency with his principles, it is difficult to see how he is to draw from the miracles of Christ any certain conclusion as to His Divine nature. He dwells very forcibly on what he calls " the argu- ment from experience," in the demolition of which he takes evident delight. He destroys the argument, and repeats it for the mere pleasure of again and again knocking the breath out of it. Experience, he urges, can only deal with the past ; and the moment we attempt to project experience a hair's breadth beyond the point it has at any moment reached, we are condemned by reason. It appears to me that, when he infers from Christ's miracles a divine and altogether superhuman energy, Mr. Mozley places himself precisely under this condemnation. For what is his logical ground for concluding that the miracles of the New Testa- ment illustrate Divine power ? May they not be the result of expanded human power ? A miracle he defines as some- thing impossible to man. But how does he know that the miracles of the New Testament are impossible to man ? Seek as he may, he has absolutely no reason to adduce save this that man has never hitherto accomplished such things. But does the fact that man has never raised the dead prove that he can never raise the dead ? " Assuredly not," must be Mr. Mozley's reply ; " for this would be pushing experi- ence beyond the limit it has now reached which I pro- nounce unlawful." Then a period may come when man will be able to raise the dead. If this be conceded and I do not see how Mr. Mozley can avoid the concession it destroys the necessity of inferring Christ's divinity from his miracles. He, it may be contended, antedated the humanity of the future ; as a mighty tidal-wave leaves high upon the beach a mark which by-and-by becomes the general level of the ocean. Turn the matter as you will, no other warrant will be found for the all-important conclusion that Christ's 56 FRAGMENTS OF SCIENCE. miracles demonstrate Divine power, than an argument which has been stigmatized by Mr. Mozley as " a rope of sand " the argument from experience. The learned Bampton Lecturer would be in this posi- tion even if he had seen with his own eyes every miracle recorded in the New Testament. But he has not seen these miracles; and his intellectual plight is, therefore, worse. He accepts these miracles on testimony. Why does he be- lieve that testimony ? How does he know that it is not delusion ; how is he sure that it is not even falsehood ? He will answer that the writing bears the marks of sobriety and truth ; and that, in many cases, the bearers of this mes- sage to mankind sealed it with their blood. Granted with all my heart ; but whence the value of all this ? Is it not solely derived from the fact that men, as we know them, do not sacrifice their lives in the attestation of that which they know to be untrue ? Does not the entire value of the tes- timony of the apostles depend ultimately upon our expe- rience of human nature ? It appears, therefore, that those who alleged to have seen the miracles based their inferences from what they saw on the argument from experience ; and that Mr. Mozley bases his belief in their testimony on the same argument. The weakness of his conclusion is aug- mented by this double insertion of a principle of belief to which he flatly denies rationality. His reasoning, in fact, cuts two ways if it destroys our trust in the order of Na- ture, it far more effectually abolishes the basis on which Mr. Mozley seeks to found the Christian religion. Over this argument from experience, which, at bottom, is his argument, Mr. Mozley rides rough-shod. There is a dash of scorn in the energy with which he tramples on it. Probably some previous writer had made too much of it, and thus invited his powerful assault. Finding the diffi- culty of belief in miracles to arise from their being in con- tradiction to the order of Nature, he set himself to examine MIRACLES AND SPECIAL PROVIDENCES. 57 the grounds of our belief in that order. With a vigor of logic rarely equalled, and with a confidence in its conclu- sions never surpassed, he disposes of this belief in a manner calculated to startle those who, without due examination, had come to the conclusion that the order of Nature was secure. What we mean, he says, by our belief in the order of Nature, is the belief that the future will be like the past. There is not, according to Mr. Mozley, the slightest rational basis for this belief. " That any cause in Nature is more permanent than its existing and known effects, extending further, and about to produce other and more instances besides what it has produced already, we have no evidence. Let us imagine," he continues, " the occurrence of a particular physical phenomenon for the first time. Upon that single occurrence we should have but the very faintest expectation of another. If it did occur again, once or twice, so far from counting on another occurrence, a cessation would occur as the most natural event to us. But let it continue one hundred times, and we should find no hesitation in inviting persons from a distance to see it ; and if it occurred every day for years, its occur- rence would be a certainty to us, its cessation a marvel. . . . What ground of reason can we assign for an expectation that any part of the course of Nature will be the next moment what it has been up to this moment, i. e., for our belief in the uniformity of Nature ? None. No demonstrative reason can be given, for the contrary to the recurrence of a fact of Nature is no contradiction. No probable reason can be given, for all probable reasoning respecting the course of Nature is founded upon this presumption of likeness, and, therefore, cannot be the foundation of it. No reason can be given for this belief. It is without a reason. It rests upon no rational grounds, and can be traced to no rational prin- ciple." " Every thing," Mr. Mozley, however, adds, " depends upon this belief, every provision we make for the future, every safeguard and caution we employ against it, all cal- culation, all adjustment of means to ends supposes this be- lief; and yet this belief has no more producible reason for it than a speculation of fancy. ... It is necessary, all-im- 58 FKAGMENTS OF SCIENCE. portant for the purposes of life, but solely practical, and possesses no intellectual character. . . . The proper func- tion," continues Mr. Mozley, " of the inductive principle, the argument from experience, the belief in the order of Nature by whatever phrase we designate the same instinct is to operate as a practical basis for the affairs of life and the carrying on of human society." To sum up, the belief in the order of Nature is general, but it is " an unintelligent impulse, of which we can give no rational account." It is inserted in our constitution solely to induce us to till our fields, to raise our winter fuel, and thus to meet the future on the perfectly gratuitous supposition that that future will be like the past. " Thus, step by step," says Mr. Mozley, with the empha- sis of a man who feels his position to be a strong one, " has philosophy loosened the connection of the order of Nature with the ground of reason, befriending in exact proportion as it has done this the principle of miracles." For " this belief, not having itself a foundation in reason, the ground is gone upon which it could be maintained that miracles, as opposed to the order of Nature, are opposed to reason." When we regard this belief in connection with science, " in which connection it receives a more imposing name, and is called the inductive principle," the result is the same. " The inductive principle is only this unreasoning impulse applied to a scientifically ascertained fact. . . . Science has led up to the fact, but there it stops, and for converting this fact into a law a totally unscientific principle comes into play, the same as that which generalizes the common- est observation of Nature." The eloquent pleader of the cause of miracles passes over without a word the results of scientific investigation as proving any thing rational regarding the principles or methods by which such results have been achieved. Here, as before, he declines the test, " By their fruits shall ye MIRACLES AND SPECIAL PROVIDENCES. 59 know them." Perhaps the best way of proceeding will be to give one or two examples of the mode in which men of science apply the unintelligent impulse with which Mr. Mozley credits them, and which shall show by illustration the surreptitious character of the method by which they climb from the region of facts to that of laws. It was known before the sixteenth century that, the end of an open tube being dipped into water, on drawing an air-tight piston up the tube the water follows the piston, and this fact had been turned to account in the construction of the common pump. The effect was explained at the time by the maxim, " Nature abhors a vacuum." It was not known that there was any limit to the height to which the water would ascend, until, on one occasion, the garden- ers of Florence, while attempting to raise the water a very great elevation, found that the column ceased at a height of thirty-two feet. Beyond this all the skill of the pump- maker could not get it to rise. The fact was brought to the notice of Galileo, and he, soured by a world which had not treated his science over-kindly, is said to have twitted the philosophy of the time by remarking that Nature evi- dently abhorred a vacuum only to a height of thirty-two feet. But Galileo did not solve the problem. It was taken up by his pupil Torricelli, who pondered it, and while he did so various thoughts regarding it arose in his mind. It occurred to him that the water might be forced up in the tube by a pressure applied to'the surface of the water out- side. But where, under the actual circumstances, was such a pressure to be found ? After much reflection, it flashed upon Torricelli that the atmosphere might possibly exert the pressure ; that the impalpable air might possess weight, and that a column of water thirty-two feet high might be of the exact weight necessary to hold the pressure of the atmosphere in equilibrium. There is much in this process of pondering and its 60 FRAGMENTS OF SCIENCE. results which it is impossible to analyze. It is by a kind of inspiration that we rise from the wise and sedulous con- templation of facts to the principles on which they depend. The mind is, as it were, a photographic plate, which is gradually cleansed by the effort to think rightly, and which when so cleansed, and not before, receives impressions from the light of truth. This passage from facts to principles is called induction, which in its highest form is inspiration ; but, to make it sure, the inward sight must be shown to be in accordance with outward fact. To prove or dis- prove the induction, we must resort to deduction and ex- periment. Torricelli reasoned thus : If a column of water thirty- two feet high holds the pressure of the atmosphere in equilibrium, a shorter column of a heavier liquid ought to do the same. Now, mercury is thirteen times heavier than water ; hence, if my induction be correct, the atmosphere ought to be able to sustain only thirty inches of mercury. Here, then, is a deduction which can be immediately sub- mitted to experiment. Torricelli took a glass tube a yard or so in length, closed at one end and open at the other, and filling it with mercury, he stopped the open end with his thumb, and inverted it in a basin filled with the liquid metal. One can imagine the feeling with which Torricelli removed his thumb,, and the delight he experienced when he found that his thought had forestalled a fact never before revealed to human eyes. The column sank, but ceased to sink at a height of thirty inches, leaving the Torricellian vacuum overhead. From that hour the theory of the pump was established. The celebrated % Pascal followed Torricelli with a still further deduction. He reasoned thus : If the mercurial column be supported by the atmosphere, the higher we ascend in the air the lower the column ought to sink, for the less will be the weight of the air overhead. He ascend- MIRACLES AND SPECIAL PROVIDENCES. 61 ed the Puy de Dome, carrying with him a barometric column, and found that as he ascended the mountain the column sank, and that as he descended the column rose. Between the time here referred to and the present, millions of experiments have been made upon this subject. Every village pump is an apparatus for such experiments. In thousands of instances, moreover, pumps have refused to work ; but on examination it has infallibly been found that the well was dry, that the pump required priming, or that some other defect in the apparatus accounted for the anomalous action. In every case of the kind the skill of the pump-maker has been found to be the true remedy. In no case has the pressure of the atmosphere ceased ; con- stancy, as regards the lifting of pump-water, has been hitherto the demonstrated rule of Nature. So also as regards Pascal's experiment. His experience has been the universal experience ever since. Men have climbed mountains, and gone up in balloons ; but no deviation from Pascal's result has ever been observed. Barometers, like pumps, have refused to act; but instead of indicating any suspension of the operations of Nature, or any interference on the part of its Author with atmospheric pressure, examination has in every instance fixed the anomaly upon the instruments themselves. It is this welding, then, of rigid logic to veri- fying fact that Mr. Mozley refers to an " unreasoning im- pulse." Let us now briefly consider the case of Newton. Before his time men had occupied themselves with the problem of the solar system. Kepler had deduced, from a vast mass of observations, the general expressions of planetary motion known as " Kepler's laws." It had b,een observed that a magnet attracts iron ; and by one of those flashes of inspi- ration which reveal to the human mind the vast in the minute, the general in the particular, it occurred to Kepler, that the force by which bodies fall to the earth might also 62 FRAGMENTS OF SCIENCE. be an attraction. Newton pondered all these things. He had a great power of pondering. He could look into the darkest subject until it became entirely luminous. How this light arises we cannot explain ; but, as a matter of fact, it does arise. Let me remark here, that this power of pondering facts is one with which the ancients could be but imperfectly acquainted. They found the uncontrolled exercise of the imagination too pleasant to expend much time in gathering and brooding over facts. Hence it is that when those whose education has been derived from the ancients speak of " the reason of man," they are apt to omit from their conception of reason one of its greatest powers. "Well, Newton slowly marshalled his thoughts, or rather they came to him while he "intended his mind," rising one after another like a series of intellectual births out of chaos. He made this idea of attraction his own. But to apply the idea to the solar system, it was necessary to know the magnitude of the attraction and the law of its variation with the distance. His conceptions first of all passed from the action of the earth as a whole, to that of its constituents particles, the integration of which composes the whole. And persistent thought brought more and more clearly out the final divination, that every particle of matter attracts every other particle by a force which varies inversely as the square of the distance between the par- ticles. This is Newton's celebrated law of inverse squares. Here we have the flower and outcome of his induction ; and how to verify it, or to disprove it, was the next question. The first step of Newton in this direction was to prove, mathematically, that if this law of attraction be the true one ; if the earth be constituted of particles which obey this law ; then the action of a sphere equal to the earth in size on a body outside of it, is the same as that which would be exerted if the whole mass of the sphere were contracted to a point at its centre. Practically speaking, MIRACLES AND SPECIAL PROVIDENCES. 63 then, the centre of the earth is the point from which distances must be measured to bodies attracted by the earth. This was the first-fruit of his deduction. From experiments executed before his time, Newton knew the amount of the earth's attraction at the earth's sur- face, or at a distance of 4,000 miles from its centre. His object now was to measure the attraction at a greater dis- tance, and thus to determine the law of its diminution. But how was he to find a body at a sufficient distance ? He had no balloon, and even if had, he knew that any height which he could attain would be too small to enable him to solve his problem. What did he do ? He fixed his thoughts upon the moon a body at a distance of 240,000 miles, or sixty times the earth's radius from the earth's centre. He virtually weighed the moon, and found that weight to be 3-gVo^h of what it would be at the earth's surface. This is exactly what his theory required. I will not dwell here upon the pause of Newton after his first calculations, or speak of his self-denial in withholding them, because they did not quite agree with the observations then at his command. Newton's action in this matter is the normal action of the scientific mind. If it were otherwise if scientific men were not accustomed to demand verification if they were satis- fied with the imperfect while the perfect is attainable, their science, instead of being, as it is, a fortress of adamant, would be a house of clay, ill-fitted to bear the buffetings of the theologic storms to which it has been from time to time, and is at present exposed. Thus, we see, that Newton, like Torricelli, first pondered his facts, illuminated them with persistent thought, and finally divined the character of the force of gravitation. But having thus travelled inward to the principle, he had to re- verse his steps, carry the principle outward, and justify it by demonstrating its fitness to external Nature. This he did by determining the attraction of the earth and moon. 64 FRAGMENTS OF SCIENCE. And here, in passing, I would notice a point which is well worthy of attention. Kepler had deduced his laws from observation. As far back as those observations ex- tended, the planetary motions had obeyed these laws ; and, neither Kepler nor Newton entertained a doubt as to their continuing to obey them. Year after year, as the ages rolled, they believed that those laws would continue to illustrate themselves in the heavens. But this was not suf- ficient. The scientific mind can find no repose in the mere registration of sequence in Nature. The further question intrudes itself with resistless might : whence comes the se- quence ? What is it that binds the consequent with its an- tecedent in Nature ? The truly scientific intellect never can attain rest until it reaches the forces by which the observed succession is produced. It was thus with Torricelli ; it was thus with Newton ; it is thus preeminently with the real scientific man of to-day. In common with the most igno- mnt, he shares the belief that spring will succeed winter, that summer will succeed spring, that autumn will succeed summer, and that winter will succeed autumn. But he knows still further and this knowledge is essential to his intellectual repose that this succession, besides being per- manent, is, under the circumstances, necessary that the gravitating force exerted between the sun, and a revolving sphere with an axis inclined to the plane of its orbit, must produce the observed succession of the seasons. Not until this relation between forces and phenomena has been es- tablished is the law of reason rendered concentric with the law of Nature, and not until this is effected does the mind of the scientific philosopher rest in peace. The expectation of likeness, then, in the procession of phenomena is not that on which the scientific mind founds its belief in the order of Nature. If the force be permanent the phenomena are necessary, whether they resemble or do not resemble any thing that has gone before. Hence, in MIRACLES AND SPECIAL PROVIDENCES. 65 judging of the order of Nature, our inquiries eventually relate to the permanence of force. From Galileo to Newton, from Newton to our own time, eager eyes have been scan- ning the heavens, and clear heads have been pondering the phenomena of the solar system. The same eyes and minds have been also observing, experimenting, and reflecting on the action of gravity at the surface of the earth. Nothing has occurred to indicate that the operation of the law has for a moment been suspended ; nothing has ever intimated that Nature has been crossed by spontaneous action, or that a state of things at any time existed which could not be rigorously deduced from the preceding state. Given the distribution of matter and the forces in operation in the time of Galileo, the competent mathematician of that day could predict what is now occurring in our own. We cal- culate eclipses before they have occurred, and find them true to the second. We determine the dates of those that have occurred in the early times of history, and find calcu- lations and history at peace. Anomalies and perturba- tions in the planets have been over and over again observed, but these, instead of demonstrating any inconstancy on the part of natural law, have invariably been reduced to conse- quences of that law. Instead of referring the perturba- tions of Uranus to any interference on the part of the Author of Nature with the law of gravitation, the question which the astronomer proposed to himself was, " How, in accordance with this law, can the perturbation be pro- duced ? " Guided by a principle, he was enabled to fix the point of space in which, if a mass of matter were placed, the observed perturbations would follow. We know the result. The practical astronomer turned his telescope tow- ard the region which the intellect of the theoretic astrono- mer had already explored, and the planet now named Neptune was found in its predicted place. A very re- spectable outcome, it will be admitted, of an impulse which 66 FRAGMENTS OF SCIENCE. " rests upon no rational grounds, and can be traced to no rational principle ; " which possesses " no intellectual char- acter;" which "philosophy" has uprooted from "the ground of reason," and fixed in that " large irrational de- partment " discovered for it by Mr. Mozley, in the hitherto unexplored wildernesses of the human mind. The proper function of the inductive principle, or the -belief in the order of Nature, says Mr. Mozley, is " to act as a practical basis for the affairs of life, and the carrying on of human society." But what, it may be asked, has the planet Neptune, or the belts of Jupiter, or the whiteness about the poles of Mars, to do with the affairs of society ? How is society affected by the fact that the sun's atmos- phere contains sodium, or that the nebula of Orion contains hydrogen gas ? Nineteen-twentieths of the force employed in the exercise of the inductive principle, which, reiterates Mr. Mozley, is "purely practical," have been expended upon subjects as unpractical as these. What practical interest has society in the fact that the spots on the sun have a decennial period, and that when a magnet is closely watched for half a century, it is found to perform small motions which synchronize with the appearance and disap- pearance of the solar spots ? And yet, I doubt not, Sir Edward Sabine would deem a life of intellectual toil amply rewarded by being privileged to solve, at its close, these infinitesimal motions. The inductive principle is founded in man's desire to know a desire arising from his position among phenom- ena which are reducible to order by his intellect. The material universe is the complement of the intellect, and without the study of its laws reason would never have awoke to its higher forms of self-consciousness at all. It is the non-ego, through and by which the ego is endowed with self-discernment. We hold it to be an exercise of reason to explore the meaning of a universe to which we MIRACLES AND SPECIAL PROVIDENCES. 67 stand in this relation, and the work we have accomplished is the proper commentary on the methods we have pursued. Before these methods were adopted the unbridled imagi- nation roamed through Nature, putting in the place of law the figments of superstitious dread. For thousands of years witchcraft, and magic, and miracles, and special provi- dences, and Mr. Mozley's " distinctive reason of man," had the world to themselves. They made worse than nothing of it worse, I say, because they let and hindered those who might have made something of it. Hence it is that during a single lifetime of this era of " unintelligent im- pulse," the progress in natural knowledge is all but infinite as compared with that of the ages which preceded ours. The believers in magic and miracles of a couple of centuries ago had all the strength of Mr. Mozley's present logic on their side. They had done for themselves what he rejoices in having so effectually done for us cleared the ground of the belief in the order of Nature, and declared magic, miracles, and witchcraft, to be matters for ordinary evidence to decide. "The principle of miracles" thus " befriended " had free scope, and we know the result. Lacking that rock-barrier of natural knowledge which we, laymen of England, now possess, keen jurists and cultivated men were hurried on to deeds, the bare recital of which makes the blood run cold. Skilled in all the rules of human evidence, and versed in all the arts of cross-examination, these men, nevertheless, went systematically astray, and committed the deadliest wrongs against humanity. And why ? Because they could not put Nature into the witness- box, and question her ; of her voiceless " testimony " they knew nothing. In all cases between man and man, their judgment was to be relied on ; but in all cases between man and Nature they were blind leaders of the blind. 1 1 " In 1664 two women were hung in Suffolk, under a sentence of Sir Matthew Hale, who took the opportunity of declaring that the reality of 68 FRAGMENTS OF SCIENCE. Mr. Mozley concedes that it would be no great result for miracles to be accepted by the ignorant and superstitious, " because it is easy to satisfy those who do not inquire." But he does consider it " a great result " that they have been accepted by the educated. In what sense educated ? Like those statesmen, jurists, and church dignitaries whose education was unable to save them from the frightful errors glanced at above? Not even in this sense; for the great mass of Mr. Mozley's educated people had no legal training, and must have been absolutely defenceless against delusions which could set even that training at naught. Like nine- tenths of our clergy at the present day, they were versed in the literature of Greece, Borne, and Judea ; but as regards a knowledge of Nature, which is here the one thing needful, they were " noble savages," and nothing more. In the case of miracles, then, it behooves us to understand the weight of the negative, before we assign a value to the positive ; to comprehend the protest of Nature before we attempt to measure, with it, the assertions of men. We have only to open our eyes to see what honest, and even intellectual, men and women are capable of in the way of evidence in this nineteenth century of the Christian era, and in latitude fifty-two degrees north. The experience thus gained ought, I imagine, to influence our opinion regarding the testimony of people inhabiting a sunnier clime, with a richer imagination, and without a particle of that restraint which the discoveries of physical science have imposed upon mankind. witchcraft was unquestionable ; ' for first, the Scriptures had affirmed so much ; and secondly, the wisdom of all nations had provided laws against such persons, which is an argument of their confidence of such a crime.' Sir Thomas Browne, who was a great physician as well as a great writer, was called as a witness, and swore ' that he was clearly of opinion that the persons were bewitched.' " Lecky's History of Rationalism, vol. i. p. 120. MIRACLES AND SPECIAL PROVIDENCES. 69 Having thus submitted Mr. Mozley's views to the ex- amination which they challenged at the hands of a student of the order of Nature, I am unwilling to quit his book without expressing my high admiration and respect for his ability. His failure, as I consider it to be, must, I think, await all attempts, however able, to deal with the material universe by logic and imagination, unaided by experiment and observation. With regard to the style of the book, I willingly subscribe to the description with which the Times winds up its able and appreciative review. " It is marked throughout with the most serious and earnest conviction, but is without a single word from first to last of asperity or insinuation against opponents, and this not from any de- ficiency of feeling as to the importance of the issue, but from a deliberate and resolutely maintained self-control, and from an overruling, ever-present sense of the duty, on themes like these, of a more than judicial calmness." l [ To the argument regarding the quantity of the mirac- ulous, introduced at page 52, Mr. Mozley has done me the honor of publishing a reply in the seventh volume of the Contemporary Jteview. J. T., 1871.] 1 See Appendix at the end of the book. Library California IV. MATTER AND FORCE. A LECTURE TO THE WORKING-MEN OF DUNDEE. September 5, 1867. Heard are the voices, Heard are the sages, The worlds and the ages, * Choose well, your choice is Brief and yet endless. ' ' Here eyes do regard you In eternity's stillness ; Here is all fulness Ye brave to reward you, Work and despair not.' " GOETHE. IT. MATTER AND FORGE. IT is the custom of the Professors in the Royal School of Mines in London to give courses of evening lectures every year to working-men. Each course is duly adver- tised, and at a certain hour the working-men assemble to purchase tickets for the course. The lecture-room holds six hundred people, and tickets to this amount are disposed of as quickly as they can be handed to those who apply for them. So desirous are the working-men of London to attend these lectures, that the persons who fail to obtain tickets always bear a large proportion to those who suc- ceed. Indeed, if the lecture-room could hold two thousand instead of six hundred, I do not doubt that every one of its benches would be occupied on these occasions. It is, moreover, worthy of remark that the lectures are but rarely of a character which could help the working-man in his daily pursuits. The knowledge acquired is hardly ever of a nature which admits of being turned into money. It is a pure desire for knowledge, as a thing good in itself, and without regard to its practical application, which animates these men. They wish to know more of the wonderful universe around them ; their minds desire this knowledge as naturally as their bodies desire food and drink, and to satisfy this intellectual want they come to the School of Mines. It is also my privilege to lecture to another audience in 4 74 FRAGMENTS OF SCIENCE. London, composed in part of the aristocracy of rank, while the audience just referred to is composed wholly of the aristocracy of labor. As regards attention and cour- tesy to the lecturer, neither of these audiences has any thing to learn of the other ; neither can claim superiority over the other. I do not, however, think that it would / be quite correct to take those persons who flock to the School of Mines as average samples of their class ; they are probably picked men the aristocracy of labor, as I have just called them. At all events, their conduct demonstrates that the essential qualities of a gentleman are confined to no class, and they have often raised in my mind the wish that the gentlemen of all classes, artisans as well as lords, could, by some process of selection, be sifted from the general mass of the community, and caused to know each other better. When pressed some months ago by the Council of the British Association to give an evening lecture to the work- ing-men of Dundee, my experience of the working-men of London naturally rose to my mind ; and, though heavily weighted with other duties, I could not bring myself to de- cline the request of the Council. Hitherto, the evening discourses of the Association have been delivered before its members and associates alone. But after the meeting at Nottingham, last year, where the working-men, at their own request, were addressed by our late President, Mr. Grove, and by my excellent friend Professor Huxley, the idea rose of incorporating with all subsequent meetings of the Association an address to the working-men of the town in which the meeting is held. A resolution to that effect was sent to the Committee of Recommendations ; the com- mittee supported the resolution ; the Council of the Asso- ciation ratified the decision of the committee ; and here I am to carry out to the best of my ability their united wishes. MATTER AND FORCE. 75 Whether it be a consequence of long-continued develop- ment, or an endowment conferred once for all on man at his creation, we find him here gifted with a mind, curious 'Is to know the causes of things, and surrounded by objects which excite its questionings, and raise the desire for an explanation. It is related of a young prince of one of the Pacific Islands, that when he first saw himself in a looking- glass, he ran round the glass to see who was standing at the back. And thus it is with the general human intellect, as regards the phenomena of the external world. It wishes to get behind and learn the causes and connections of these * phenomena. What is the sun, what is the earth, what should we see if we came to the edge of the earth and looked over? What is the meaning of thunder and light- ning, of hail, rain, storm, and snow ? Such questions pre- sented themselves to early men, and by-and-by it was dis- covered, that this desire for knowledge was not implanted in vain. After many trials it became evident that man's capacities were, so to speak, the complement of Nature's - facts, and that, within certain limits, the secret of the uni- verse was open to the human understanding. It was found that the mind of man had the power of penetrating far be- yond the boundaries of his five senses ; that the things which are seen in the material world depend for their action upon things unseen ; in short, that besides the phenomena which address the senses, there are laws and principles and processes which do not address the senses at all, but which must be, and can be, spiritually discerned. There are two things which form, so to say, the sub- stance of all scientific thought. The entire play of the scientific intellect is confined to the combination and res- olution of the ideas of matter and force. Newton, it is said, saw an apple fall. To the common mind this pre- sented no difficulty and excited no question. Not so with Newton. He observed the fact ; but one side of his great 76 FRAGMENTS OF SCIENCE. intellectual nature was left unsatisfied by the mere act of observation. He sought after the principle which ruled the fact. Whether this anecdote be true or not, it illus- trates how the ordinary operations of Nature, which most people take for granted as perfectly plain and simple, are ^ often those which most puzzle the scientific man. To the conception of the matter of the apple, Newton added that of the force that moved it. The falling of the apple was due to an attraction exerted mutually between it and the earth. He applied the idea of this force to suns, and plan- ets, and moons, and showed that all their motions were necessary consequences of this attraction. Newton, you know, was preceded by a grand fellow named John Kepler a true working-man who, by analyz- ing the astronomical observations of his master, Tycho Brahe, had actually found that the planets moved as they are now known to move. As a matter of fact, Kepler knew as much about the motion of the planets as Newton did ; in fact, Kepler taught Newton and the world generally the facts of planetary motion. But this was not enough. The question arose Why should the facts be so ? This was the great question for Newton, and it was the solution of this question which renders his name and fame immortal. He proved that the planetary motions were what observa- tion made them to be, because every particle of matter in the solar system attracts every other particle by a force which varies as the inverse square of the distance between the particles. He showed that the moon fell toward the earth, and that the planets fell toward the sun, through the operation of the same force that pulls an apple from its tree. This all-pervading force, which forms the solder of the material universe, and the conception of which was necessary to Newton's intellectual peace, is called the force " of gravitation. All force may be ultimately reduced to a push or a pull in ^ MATTER AND FORCE. 77 a straight line ;*but its manifestations are various, and some- times so complex as entirely to disguise its elementary con- stituents. Its different manifestations have received differ- ent names. Here, for example, is a magnet freely suspended. I bring the end of a second magnet near one of the ends of the suspended one attraction is the consequence. I re- verse the position of one of the magnets repulsion follows. This display of power is called magnetic force. In the case of gravitation we have a simple attraction, in the case of magnetism attraction and repulsion always go together. Thus magnetism is a double force, or, as it is usually called, a polar force. I present a bit of common iron to the magnet, the iron itself becomes a temporary magnet, and it now possesses the power of attracting other iron. And if sev- eral pieces of iron be presented at the same time, not only will the magnet act on them, but they will also act upon each other. This leads me to j&if experiment which will give you some idea of how bodies arrange themselves under the operation of a polar force. Underneath this plate of glass is placed a small magnet, and by an optical arrangement comprising a powerful lamp, a magnified image of the mag- net is now cast upon the screen before you. I scatter iron filings over the glass. You already notice a certain arrange- ment of the particles of iron. Their free action is, how- ever, hampered by friction. I therefore tap the glass, liberate the particles, which, as I tap, arrange themselves in these beautiful curves. This experiment is intended to make clear to you how a definite arrangement of particles a kind of incipient structure may result from, the oper- ation of a polar force. We shall by-and-by see far more wonderful exhibitions of the same structural action when we come to deal with the force of crystallization. The magnetic force has here acted upon particles of matter visible to the eye. But, as already stated, there are 78 FKAGMENTS OF SCIENCE. numerous processes in Nature which entirely elude the eye of the body, and must be figured by the eye of the mind. The processes of chemistry are examples of these. Long thinking and experimenting on the materials which compose our world have led philosophers to conclude that matter is composed of atoms from which, whether separate or in com- bination, the whole material world is built up. The air we breathe, for example, is mainly a mixture of the atoms of two distinct substances, called oxygen and nitrogen. The water we drink is also composed of two distinct substances, called oxygen and hydrogen. But it differs from the air in this particular, that in water the oxygen and hydrogen are not mechanically mixed, but chemically combined. In fact, the atoms of oxygen and those of hydrogen exert enormous attractions on each other, so that when brought into sufficient proximity they rush together with an almost incredible force to form a chemical compound. But powerful as is the force with which these atoms lock themselves together, we have the means of tearing them asunder, and the agent by which we accomplish this may here receive a few moments' attention. Into a vessel containing acidulated water I dip these two strips of metal, the one being zinc and the other plati- num, not permitting them to touch each other in the liquid. I now connect the two upper ends of the strips by a piece of copper wire. The wire is apparently unchanged, but it is not so in reality. It is now the channel of what, for want of a better name, we call an electric current a power generated and maintained by the chemical action going on in the vessel of acidulated water. What the inner change of the wire is we do not know, but we do know that a change has occurred, by the external effects produced by the wire. Let me show you one or two of these effects. And here it is convenient to operate with greater power than can be ob- tained from a single small pair of strips of metal, and a MATTER AND FORCE. 79 single vessel of acidulated water. Before you is a series of ten vessels, each with its pair of metals, and I wish to get the added force of all ten. This arrangement is called a voltaic battery. I take a piece of copper wire in my hand, and plunge it among these iron filings ; they refuse to cling to it ; the wire has no power over the filings. J now em- ploy the self-same wire to connect the two ends of the bat- tery, and subject it to the same test. The iron filings now crowd round the wire and cling to it. This is one of the effects of the electric current now traversing the wire. I interrupt the current, and the filings immediately fall ; the power of attraction continues only so long as the wire con- nects the two ends of the battery. Here is a piece of similar wire, overspun with cotton, to prevent the contact of its various parts. It is formed into a coil, which at present has no power over these iron nails ; but I now make the coil part of the wire which connects the two ends of the voltaic battery. No visible change has occurred in the coil, but it is no longer what it was. By the attractive force with which it has become suddenly en- dowed, it now empties this tool-box of its nails. I twist a covered copper wire round this common poker. At present the poker is powerless over these iron nails ; but when we connect with the wire surrounding the poker the two ends of the voltaic battery, the poker is instantly transformed into a strong magnet. Here, again, are two flat spirals sus- pended facing each other. They are about six inches apart. By turning this handle in a certain direction a cur- rent is sent through both spirals. When this is done they clash suddenly together, being drawn together by their mu- tual attraction. By turning the handle in another direction, I reverse what is called the direction of the current in one of the spirals, and now they fly asunder, being driven apart by their mutual repulsion. All these effects are due to the power which we name an electric current, and which we 80 FRAGMENTS OF SCIENCE. figure as flowing through the wire when the voltaic circuit is complete. I have said that no visible change occurs in the wire when the current passes through it. Still a change over and above what you have seen really does take place. Lay hold of those spirals, and you will find them warm. Let me exalt this warmth so as to render it visible to you. In front of the table is a thin platinum wire six feet long. On sending a current from a battery of fifty pairs of plates through this wire it glows, as you see, vividly red. I shorten the wire ; more electricity now flows through it, and its light becomes more intense. It is now bright yellow ; and now it is a dazzling white. This light is so strong that though the wire is not much thicker than a bristle, it ap- pears to those on the nearest benches as thick as a quill ; while to those at a distance it appears as thick as a man's finger. This effect, which we call irradiation, is always pro- duced by a very strong light. It is this same electric cur- rent that furnished us with the powerful light employed in one of our first experiments. The lamp then made use of is provided with these coke rods ; and when the electric current passes between them we obtain a light almost as brilliant as that of the sun. And now let us return to the point at which the elec- tric current was introduced the point, namely, where the t tearing asunder of the locked atoms of a chemical com- pound was spoken of. The agent by which we effect this is also the electric current; and I hope to make its action visible to you all. Into this small cell, containing water, dip two thin wires. By means of a solar microscope and the powerful light of our electric lamp, a magnified image of this cell is thrown upon the screen before you. You see plainly the images of the wires. And now I send from a second small battery which rests upon this table an electric current from wire to wire. Bubbles of gas rise MATTER AND FORCE. 81 immediately from each of them, and these are the two gases of which the water is composed. The oxygen is always liberated on the one wire, the h}*drogen on the other. The two gases may be collected separately ; in fact, they have been thus collected in these jars. A lighted taper'placed in one jar inflames the gas, which proves it to be hydrogen ; a burning ember of wood placed in the other jar instantly bursts into vivid combustion, which proves the gas in the jar to be oxygen. I place upon my hand a soap-bubble filled with a mixture of both gases in the exact proportions in which they exist in water. Apply- ing a taper to the bubble, a loud explosion is heard. The gases have rushed together with detonation, but without injury to my hand, and the water from which they were extracted is the result of the reunion. I wish you to see with the utmost possible clearness " what has here taken place^ First, then, you are to re- member that to form water the proportions by weight of oxygen and hydrogen are as eight to one. Eight ounces of oxygen, for example, unite with one of hydrogen to form nine ounces of water. But if, instead of comparing weights, we compare volumes, two volumes of hydrogen unite with one of oxygen to form water. Now, these vol- umes, and not the weights, express the proportions in which the atoms of hydrogen unite with those of oxygen. In the act of combination two atoms of hydrogen combine with one of oxygen to form what we call the molecule of water. Every such molecule is a group of three atoms, two of which are hydrogen and one oxygen. One consequence of the rushing together of the atoms is the development of heat. What is this heat ? How are we to figure it before our minds ? I do not despair of being able to give you a tolerably distinct answer to this question. Here are two ivory balls suspended from the same point of support by two short strings. I draw them 82 FRAGMENTS OF SCIENCE. thus apart and then liberate them. They clash together, but, by virtue of their elasticity, they quickly recoil from each other, and a sharp vibratory rattle succeeds their col- lision. This experiment will enable you to figure to your mind a pair of clashing atoms. We have, in the first place, a motion of the one atom toward the other a motion of translation, as it is usually called. But when the atoms come sufficiently near each other, elastic repulsion sets in, the motion of translation is stopped and converted into a motion of vibration. To this vibratory motion we give the name of heat. Thus, three things are to be kept before the mind first, the atoms themselves ; secondly, the force Avith which they attract each other; and thirdly, the mo- tion consequent upon the exertion of that force. This mo- tion must be figured first as a motion of translation, and then as a motion of vibration ; and it is not until the mo- tion reaches the vibratory stage that we give it the name of heat. It is this motion imparted to the nerves that pro- duces the sensation of heat. It would be useless to attempt a more detailed 'descrip- tion of this molecular motion. After the atoms have been thrown into this state of agitation, very complicated motions must ensue from their incessant collision. There must be a wild whirling about among the molecules. For some time after the act of combination this action is so violent as to prevent the molecules from coming together. The water is maintained for a time in a state of vapor. But as the vapor cools, or in other words loses its mo- tion, the water molecules coalesce to form a liquid. And now we are approaching a new and wonderful display of force. No one who had only seen water in its vaporous or liquid form could imagine the existence of the forces now to be referred to ; for as long as the substance remains in a liquid or vaporous condition, the play of these forces is altogether masked and hidden. But let the heat be gradu- MATTER AND FORCE. 83 ally withdrawn, the antagonist to their union being re- moved, the molecules prepare for new arrangements and combinations. Like the particles of iron in our magnetic experiment, the water molecules are endowed with attractive and repulsive poles, and they arrange themselves together in accordance with these attractions and repulsions. Solid crystals of water are thus formed, to which we give the fa- miliar name of ice. To the eye of science these ice-crystals are as precious as the diamond as purely formed, as deli- cately built. Where no disturbing causes intervene, there is no disorder in this crystalline architecture. By their own constructive power molecule builds itself on to molecule with a precision far greater than that attainable by the hands of man. We are apt to overlook the wonderful when it becomes common. Imagine the bricks and stones of this town of Dundee endowed with locomotive power. Im- agine them attracting and repelling each other, and arrang- ing themselves in consequence of these attractions and re- pulsions to form streets and houses and Kinnaird Halls ; would not that be wonderful ? Hardly less wonderful is the play of force by which the molecules of water build themselves into the sheets of crystal which every winter roof your ponds and lakes. If I could show you the actual progress of this molecu- lar architecture, its beauty would delight and astonish you. A reversal of the process may be actually shown. The molecules of a piece of ice may be taken asunder before your eyes, and from the manner in which they separate, you may to some extent infer the manner in which they aggre- gate. When a beam is sent from our electric lamp through a plate of glass, a portion of the beam is intercepted, and the glass is warmed by the portion thus retained within it. When the beam is sent through a plate of ice, a portion of the beam is also absorbed ; but instead of warming the ice, the intercepted heat melts it internally. It is to the 84 FRAGMENTS OF SCIENCE. delicate, silent action of this beam within the ice that I now wish to direct your attention. Upon the screen is thrown a magnified image of the slab of ice : the light of the beam passes freely through the ice without melting it, and enables us to form the image, but the heat of the beam is in great part intercepted by the ice, and that heat now applies itself to the work of internal liquefaction. Observe those stars breaking out over the white surface, and expanding in size as the action of the beam continues. These stars are liquefied ice, and each of them, you ob- serve, has six rays. They still more closely resemble flowers, each of six petals. Under the action of the heat the molecules of the ice fall asunder, so as to leave be- hind them these exquisite forms. We have here the pro- cess of crystallization reversed. In this fashion, and in strict accordance with this hexangular type every ice mole- cule takes its place upon our ponds and lakes during the frosts of winter. To use the language of an American poet, " the atoms march in tune," moving to the music of law, which thus renders the commonest substance in Na- ture a miracle of beauty. It is the function of science, not as some think to divest^ this universe of its wonder and its mystery, but, as in the case here before us, to point out the wonder and the mystery of common things. Those fern-like forms, which on a frosty morning overspread your window-panes, illus- trate the action of the same force. Breathe upon such a pane before the fires are lighted, and reduce the solid crys- talline film to the liquid condition, then watch its subse- quent appearance. You will see it all the better if you look at it through a common magnifying-glass. After you have ceased breathing, the film, abandoned to the action of its own forces, appears for a moment to be alive. Lines of motion run through it ; molecule closes with molecule, until finally the whole film passes from the state of liquidity, MATTER AND FORCE. 85 through this state of motion, to its final crystalline re- pose. [ ft I can show you something similar. Over a piece of perfectly clean glass I pour a little water in which a crystal has been dissolved. A film of the solution clings to the glass, and this film will now be caused to crystallize before your eyes. By means of a microscope and a lamp, an image of the plate of glass is thrown upon the screen. The beam of the lamp, besides illuminating the glass, also heats it ; evaporation sets in, and, at a certain moment, when the solution has become supersaturated, splendid branches of crystals shoot out over the screen. A dozen square feet of surface are now covered by those beautiful forms. With another solution we obtain crystalline spears, feathered right and left by other spears. From distant nuclei in the middle of the field of view the spears shoot with magical rapidity in all directions. The film of water on a window- pane on a frosty morning exhibits effects quite as wonderful as these. Latent in this formless solution, latent in every drop of water, lies this marvellous structural power, which only requires the withdrawal of opposing forces to bring it into action. Our next experiment on crystallization you will probably consider more startling even than these. The clear liquid now held up before you is a solution of nitrate of silver a compound of silver and nitric acid. When an electric cur- rent is sent through this liquid the silver is severed from the acid, as the hydrogen was separated from the oxygen in a former experiment ; and I would ask you to observe how the metal behaves when its molecules are thus succes- sively set free. The image of the cell, and of the two wires which dip into the liquid of the cell, are now clearly shown upon the screen. Let us close the circuit, and send the current through the liquid. From one of the wires a beau- tiful silver tree commences immediately to sprout. Branches 86 FRAGMENTS OF SCIENCE. of the metal are thrown out, and umbrageous foliage loads the branches. You have here a growth apparently as won- derful as that of any vegetable perfected in a minute before your eyes. Substituting for the nitrate of silver acetate of lead, which is a compound of lead and acetic acid, the electric current severs the lead from the acid, and there you see the metal slowly branching into these exquisite metallic ferns, the fronds of which, as they become too heavy, break from their roots and fall to the bottom of the cell. These experiments show that the common matter of our earth " brute matter," as Dr. Young pleases to call it when its atoms and molecules are permitted to bring their forces into free play, arranges itself, under the operation of these forces, into forms which rival in beauty those of the vegetable world. And what is the vegetable world itself but the result of the complex play of these molecular forces ? Here, as elsewhere throughout Nature, if matter moves, it is force that moves it ; and if a certain structure, vegetable or mineral, is produced, it is through the operation of the forces exerted between the atoms and molecules. These atoms and molecules resemble little magnets with mutually attractive and mutually repellant poles. The attracting poles unite, the repellant poles retreat, and vegetable as well as mineral forms are the final expression of this com- plicated molecular action. In the formation of our lead and silver trees, we needed an agent to wrest the lead and the silver from the acids with which they were combined. A similar agent is re- quired in the vegetable world. The solid matter of which our lead and silver trees were formed was, in the first in- stance, disguised in a transparent liquid ; the solid matter of which our woods and forests are composed is also, for the most part, disguised in a transparent gas, which is mixed in small quantities with the air of our atmosphere. This gas is formed by the union of carbon and oxygen, and MATTER AND FORCE. 87 is called carbonic acid gas. Two atoms of oxygen and one of carbon unite to fonn the molecule of carbonic acid which, as I have said, is the material from which wood and vege- table tissues are mainly derived. The carbonic acid of the air being subjected to an action somewhat analogous to that of the electric current in the case of our lead and silver solutions, has its carbon liberated and deposited as woody fibre. The watery vapor of the air is subjected to similar action ; its hydrogen is liberated from its oxygen, and lies down side by side with the carbon in the tissues of the tree. The oxygen in both cases is permitted to wander away into the atmosphere. But what is it which thus tears the carbon and the hydrogen from the strong embrace of the oxygen ? What is it in Nature that plays the part of the electric current in our experiments ? The rays of the,//' sun. The leaves of the plants absorb both the carbonic acid and the aqueous vapor of the air; these leaves an- swer to the cells in which our decompositions by the electric current took place. In the leaves the solar rays decompose both the carbonic acid and the water, permitting the oxygen in both cases to escape into the air, and allowing the carbon and the hydrogen to follow the bent of their own forces. And just as the molecular attractions of the silver and the lead found expression in the production of those beautiful branching forms seen in our experiments, so do the molecular attractions of the liberated carbon and hydrogen find ex- pression in the architecture of grasses, plants, and trees. In the fall of a cataract and the rush of the wind we have examples of mechanical power. In the combinations of chemistry and in the formation of crystals and vegetables we have examples of molecular power. But before pro- ceeding further I should like to make clear to you the present condition of the surface of our globe with reference to power generally. You have learned how the atoms of oxygen and hydrogen rush together to form water. I have 88 FRAGMENTS OF SCIENCE. not thought it necessary to dwell upon the mighty mechani- cal energy of their act of combination, but, in passing, I would say that the clashing together of 1 Ib. of hydrogen and 8 Ibs. of oxygen to form 9 Ibs. of aqueous vapor, is greater than the clash of a weight of 1,000 tons falling from a height of 20 feet against the earth. Now, in order that the atoms of oxygen arid hydrogen should rise by their mutual attractions to the velocity corresponding to this enormous mechanical effect, a certain distance must exist between the particles. It is in rushing over this that the velocity is attained. This idea of distance between the attracting atoms is of the highest importance in our conception of the system, of the world. For the world may be divided into two kinds of matter ; or rather the matter of the world may be classi- fied under two distinct heads namely, of atoms and mole- cules which have already rushed together and thus satisfied their mutual attractions, and of atoms and molecules which have not yet rushed together, and whose mutual attractions are, therefore, as yet unsatisfied. Now, as regards motive power, the working of machinery, or the performance of mechanical work generally, by means of the materials of the earth's crust, we are entirely dependent on those atoms/' and molecules whose attractions are as yet unsatisfied. Those attractions can produce motion, because sufficient distance intervenes between the attracting molecules, and it is this molecular motion that we utilize in our machines. Thus we can get power out of oxygen and hydrogen by the act of their union, but once they are combined, and once the motion consequent on their combination has been expended, no further power can be got out of the mutual attraction of oxygen and hydrogen. As dynamic agents they are dead. If we examine the materials of which the earth's crust is composed, we find them to consist for the most part of substances whose atoms have already closed in chemical MATTER AND FORCE. 89 union whose mutual attractions are satisfied. Granite, for instance, is a widely-diffused substance, but granite consists, in great part, of silicon, oxygen, potassium, cal- cium, and aluminum, the atoms of which substances met long ago in chemical combination, and are therefore dead. Limestone is also a widely-diffused substance. It is com- posed of carbon, oxygen, and a metal called calcium. But the atoms of those substances closed long ago in chemical union, and are therefore dead. And in this way we might go over the whole of the materials of the earth's crust, and satisfy ourselves that though they were sources of power in ages past, and long before any being appeared on the surface of the earth capable of turning their power to account, they are sources of power no longer. And here we might halt for a moment to remark on that tendency, so prevalent in the world, to regard every thing as made for human use. Those who entertain this notion hold, I think, an overweening opinion of their own importance in the system of Nature. Flowers bloomed before men saw them, and the quantity of power wasted before man could utilize it is all but infinite compared with what now remains to be applied. The healthy attitude of mind with reference to this subject is that of the poet, who, when asked whence came the rhodora, replied : " Why thou wert there, rival of the rose ! I never thought to ask, I never knew, But in my simple ignorance supposed The self-same power that brought me there brought you." 1 A few exceptions to this general state of union of the particles of the earth's crust all-important to us, but trivial in comparison to the total store of which they are the resi- due still remain. They constitute our main sources of motive power. By far the most important of these are our 1 Emerson. 90 FRAGMENTS OF SCIENCE. beds of coal, composed chiefly of carbon, which has not yet closed in chemical union with oxygen. Distance still inter- venes between the atoms of carbon and those of oxygen, across which the atoms may be impelled by their mutual attractions, and we can do nothing more than utilize the motion produced by this attraction. Once the carbon and the oxygen have rushed together, so as to form carbonic acid, their mutual attractions are satisfied, and, while they continue in this condition, as dynamic agents they are dead. A pound of coal produces by its combination with oxygen an amount of heat which, if mechanically applied, would raise a weight of 100 Ibs. to a height of twenty miles above the earth's surface. Conversely, 100 Ibs. falling from a height of twenty miles, and striking against the earth, would generate an amount of heat equal to that devel- oped by the combustion of a pound of coal. Wherever work is done by heat, heat disappears. A gun which fires a ball is less heated than one which fires blank cartridge. The quantity of heat communicated to the boiler of a working steam-engine is greater than that which could be obtained from the recondensation of the steam after it had done its work ; and the amount of work performed is the exact equivalent of the amount of heat missing. We dig annually nearly 100 millions of tons of coal from our pits. The amount of mechanical force represented by this quantity of coal seems perfectly fabulous. The combustion of a single pound of coal, supposing it to take place in a minute, would be equivalent to the work of 300 horses; and if we suppose 120 millions of horses working day and night with unimpaired strength, for a year, their united energies would enable them to perform an amount of work just equivalent to the heat to be derived from the annual produce of our coal-fields. Our woods and forests are also sources of mechanical energy, because they also have the power of uniting with the atmospheric oxygen, and the molecular MATTER AND FORCE. 91 motion produced in the act of union may be turned to mechanical account. Passing from dead matter to living ^ matter, we find that the source of motive power here re- ferred to is also the source of muscular power. A horse can perform work, and so can a man, but this work is at bottom the molecular work of the elements of the food and the oxygen of the air. We inhale this vital gas, and bring it into sufficiently close proximity with the carbon and the hydrogen of the food. They unite in obedience to their mutual attractions, and their motion toward each other, properly turned to account by the wonderful mechanism of the body, becomes muscular motion. One fundamental thought pervades all these statements : / there is one-tap root from which they all spring. This is the ancient maxim that out of nothing nothing comes ; that neither in the organic world nor in the inorganic is power produced without the expenditure of other power; that neither in the plant nor in the animal is there a creation of force or motion. Trees grow, and so do men and horses ;^ and here we have new power incessantly introduced upon the earth. But its source, as I have already stated, is the sun. For he it is who separates the carbon from the oxy- gen of the carbonic acid, and thus enables them to recom- bine. Whether they recombine in the furnace of the steam-engine or in the animal body, the origin of the power they produce is the same. In this sense we are all " souls of fire and children of the sun." But, as remarked by Helmholtz, we must be content to share our celestial pedigree with the meanest living things. The frog, and the toad, and those terrible creatures, the monkey and {/ the gorilla, draw their power from the same source as man. . Some estimable persons, here present, very possibly shrink from accepting these statements ; they may be frightened by their apparent tendency toward what is called 92 FRAGMENTS OF SCIENCE. materialism a word which, to many minds, expresses some- thing very dreadful. But it ought to be known and avowed that the physical philosopher, as such, must be a pure ma- terialist. His inquiries deal with matter and force, and with them alone. The action which he has to investigate is necessary action ; not spontaneous action the transfor- mation, not the creation, of matter and force. And what- ever be the forms which matter and force may assume, whether in the organic world or in the inorganic, whether in the coal-beds and forests of the earth, or in the brains and muscles of men, the physical philosopher will make good his right to investigate them. It is perfectly vain to attempt to stop inquiry as to the actual and possible actions of matter and force. Depend upon it, if a chemist by bringing the proper materials together, in a retort or crucible, could make a baby, he would do it. There is no law, moral or physical, forbidding him to do it his in- quiries in this direction are limited solely by his own ca- pacity and the laws of matter and force. At the present moment there are, no doubt, persons experimenting on the possibility of producing what we call life out of in- organic materials. Let them pursue their studies in peace ; it is only by such trials that they will learn the limits of their powers. But while I thus make the largest demand for freedom of investigation while I as a man of science feel a natural pride in scientific achievement, while I regard science as the most powerful instrument of intellectual culture, as well as the most powerful ministrant to the material wants of men ; if you ask me whether science has solved, or is likely in our day to solve, the problem of this universe, I must shake my head in doubt. You remember the first Napoleon's ques- tion, when the savans who accompanied him to Egypt dis- cussed in his presence the origin of the universe, and solved it to their own apparent satisfaction. He looked aloft to MATTER AND FORCE. 93 the starry heavens, and said, " It is all very well, gentle- \ men ; but who made all these ? " That question still re- j mains unanswered, and science makes no attempt to answer j it. As far as I can see, there is no quality in the human intellect which is fit to be applied to the solution of the problem. It entirely transcends us. The mind of man may be compared to a musical instrument with a certain range of notes, beyond which in both directions we have an infinitude of silence. The phenomena of matter and force lie within our intellectual range, and as far as they reach we will at all hazards push our inquiries. But behind, and above, and around all, the real mystery of this universe lies unsolved, and, as far as we are concerned, is incapable of solution. Fashion this mystery as you will, with that I have nothing to do. But be careful that your conception of it be not an unworthy one. Invest that conception with your highest and holiest thought, but be careful of pre- tending to know more about it than is given to man to know. Be careful, above all things, of professing to see in the phenomena of the material world the evidences of Di- vine pleasure or displeasure. Doubt those who would deduce from the fall of the tower of Siloam the anger of the Lord against those who were crushed. Doubt those equally who pretend to see in cholera, cattle-plague, and bad har- vests, evidences of Divine' anger. Doubt those spiritual guides who in Scotland have lately propounded the mon- strous theory that the depreciation of railway scrip is a con- sequence of railway travelling on a Sunday. Let them not, as far as you are concerned, label and libel the system of Nature with their ignorant hypotheses. Well might the mightiest of living Scotchmen, that hero of the intellect who might have been a hero in the field, that strong and earnest soul who has made every soul of like nature in these islands his debtor looking from the solitudes of thought into this highest of questions, well, I say, might 94 FRAGMENTS OF SCIENCE. your noble old Carlyle scornfully retort on such interpreters of the ways of God to men : The Builder of this universe was wise, He formed all souls, all systems, planets, particles ; The plan he formed his worlds and JEons by, Was Heavens ! was thy small nine-and-thirty articles ! V. ADDRESS TO THE STUDENTS OF UNIVER- SITY COLLEGE, LONDON, ON THE DISTRIBUTION OF PEIZES IN THE FACULTY OF AETS. Session 1868-'69. " Self-reverence, self-knowledge, self-control, These three alone lead life to sovereign power, Yet not for power (power of herself Would come uncalled for), but to live by law, Acting the law we live by without fear ; And, because right is right, to follow right Were wisdom in the scorn of consequence." TENNYSON. Y. AN ADDRESS TO STUDENTS. THEKE is an idea regarding the nature of man which modern philosophy has sought, and is still seeking, to raise into clearness, the idea, namely, of secular growth. Man is not a thing of yesterday ; nor do I imagine that the slightest controversial tinge is imported into this address when I say that he is not a thing of 6,000 years ago. Whether he came originally from stocks or stones, from nebulous gas or solar fire, I know not ; if he had any such origin the process of his transformation is as inscrutable to you and to me as that of the grand old legend, according to which " the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life ; and man became a living soul." But, however obscure man's origin may be, his growth is not to be denied. Here a little and there a little added through the ages have slowly transformed him from what he was into what he is. The doctrine has been held that the mind of the child is like a sheet of white paper, on which by education we can write what characters we please. This doctrine assuredly needs qualification and correction. In physics, when an external force is applied to a body with a view of affecting its inner texture, if we wish to predict the result, we must know whether the external force conspires with or opposes the internal forces of the body itself; and in bringing the influ- ence of education to bear upon the new-born man his inner 5 98 FRAGMENTS OF SCIENCE. powers must be also taken into account. He conies to us as a bundle of inherited capacities and tendencies, labelled " from the indefinite past to the indefinite future ; " and he makes his transit from the one to the other through the education of the present time. The object of that educa- tion is, or ought to be, to provide wise exercise for his ca- pacities, wise direction for his tendencies, and through this exercise and this direction to furnish his mind with such knowledge as may contribute to the usefulness, the beauty, and the nobleness of his life. How is this discipline to be secured, this knowledge im- parted ? Two rival methods now solicit attention the one organized and equipped, the labor of centuries having been expended in bringing it to its present state of perfection ; the other, more or less chaotic, but becoming daily less so, and giving signs of enormous power, both as a source of knowledge and as a means of discipline. These two methods are the classical and the scientific method. I wish they were not rivals ; it is only bigotry and short-sighted- ness that make them so ; for assuredly it is possible to give both of them fair play. Though hardly authorized to ex- press any opinion whatever upon the subject, I nevertheless hold the opinion that the proper study of a language is an intellectual discipline of the highest kind. If I except dis- cussions on the comparative merits of popery and Protes- tantism, English grammar was the most important discipline of my boyhood. The piercing through the involved and inverted sentences of " Paradise Lost ; " the linking of the verb to its often distant nominative, of the relative to its distant antecedent, of the agent to the object of the transi- tive verb, of the preposition to the noun or pronoun which it governed the study of variations in mood and tense, the transformations often necessary to bring out the true gram- matical structure of a sentence all this was to my young mind a discipline of the highest value, and, indeed, a source AN ADDRESS TO STUDENTS. 99 of unflagging delight. How I rejoiced when I found a great author tripping, and was fairly able to pin him to a corner from which there was no escape ! As I speak, some of the sentences which exercised me when a boy rise to my recollection. " He that hath ears to hear let him hear." That was one of them, where the " He " is left, as it were, floating in mid air without any verb to support it. I speak thus of English because it was of real value to me. I do not speak of other languages because their educational value for me was almost insensible. But, knowing the value of English so well, I should be the last to deny, or even to doubt, the high discipline involved in the proper study of Latin and Greek. That study, moreover, has other merits and recommen- dations which have been already slightly touched upon. It is organized and systematized by long-continued use. It is an instrument wielded -by some of the best intellects of the country in the education of youth ; and it can point to results in the achievements of our foremost men. What, then, has science to offer which is in the least degree likely S to compete with such a system ? I cannot better reply than by recurring to the grand old story from which I have / already quoted. Speaking of the world and all that therein is, of the sky and the stars around it, the ancient writer says, " And God saw all that he had made, and behold it was very good." It is the body of things thus described y which science offers to the study of man. There is a very renowned argument much prized and much quoted by theologians, in which the universe is compared to a watch. Let us deal practically with this comparison. Supposing a watchmaker, having completed his instrument, to be so satisfied with his work as to call it very good, what would you understand him to mean? You would not suppose that he referred to the dial-plate in front and the chasing of the case behind, so much as to the wheels and pinions, 100 FRAGMENTS OF SCIENCE. the springs and jewelled pivots of the works within, those qualities and powers, in short, which enable the watch to perform accurately its work as a keeper of time. With re- gard to the knowledge of such a watch he would be a mere ignoramus who would content himself with outward inspec- tion. I do not wish to say one severe word here to-day, but I fear that many of those who are very loud in their praise of the works of the Lord know them only in this out- side and superficial way. It is the inner works of the uni- ' verse which science reverently uncovers ; it is the study of these that she recommends as a discipline worthy of all acceptation. The ultimate problem of physics is to reduce matter by analysis to its lowest condition of divisibility, and force to its simplest manifestations, and then by synthesis to con- struct from these elements the world as it stands. We are still a long way from the final solution of this problem ; and when the solution comes, it will be one more of spir- itual insight than of actual observation. But though we are still a long way from this complete intellectual mastery of Nature, we have conquered vast regions of it, have learned their polities and the play of their powers. We live upon a ball of matter eight thousand miles in diameter, swathed by an atmosphere of unknown height. This ball has been molten by heat, chilled to a solid, and sculptured by water ; it is made up of substances possessing distinctive properties and modes of action, properties which have an immediate bearing upon the continuance of man in health, and on his recovery from disease, on which moreover de- pend all the arts of industrial life. These properties and modes of action offer problems to the intellect, some profit- able to the child, and others sufficient to tax the highest powers of the philosopher. Our native sphere turns on its axis and revolves in space. It is one of a band which do the same. It is illuminated by a sun which, though nearly AN ADDRESS TO STUDENTS. 101 a hundred millions of miles distant, can be brought virtually into our closets and there subjected to examination. It has its winds and clouds, its rain and frost, its light, heat, sound, electricity, and magnetism. And it has its vast kingdoms of animals and vegetables. To a most amazing extent the human mind has conquered these things, and revealed the logic which runs through them. Were they facts only, without logical relationship, science might, as a means of discipline, suffer in comparison with language. But the whole body of phenomena is instinct with law; the facts are hung on principles, and the value of physical science as a means of discipline consists in the motion of the intellect, both inductively and deductively, along the lines of law marked out by phenomena. As regards that discipline to which I have already referred as derivable from the study of languages that, and more, are involved in the study of physical science. Indeed, I believe it would be possible so to limit and arrange the study of a portion of physics as to render the mental exercise involved in it almost qualitatively the same as that involved in the un- ravelling of a language. I have thus far limited myself to the purely intellectual side of this question. But man is not all intellect. If he were so, science would, I believe, be his proper nutriment. But he feels as well as thinks ; he is receptive of the sub- lime and the beautiful as well as of the true. Indeed, I be- lieve that even the intellectual action of a complete man is, consciously or unconsciously, sustained by an under-current of the emotions. It is vain, I think, to attempt to separate moral and emotional nature from intellectual nature. Let a man but observe himself, and her will, if I mistake not, find that in nine cases out of ten, moral or immoral consid- erations, as the case may be, are the motive force which pushes his intellect into action. The reading of the works of two men, neither of them imbued with the spirit of 102 FRAGMENTS OF SCIENCE. modern science, neither of them, indeed, friendly to that spirit, has placed me here to-day. These men are the Eng- lish Carlyle and the American Emerson. I must ever re- member with gratitude that through three long, cold Ger- man winters Carlyle placed me in my tub, even when ice was on its surface, at five o'clock every morning ; not slavishly, but cheerfully, meeting each day's studies with a resolute will, determined whether victor or vanquished not to shrink from difficulty. I never should have gone through Analytical Geometry and the Calculus had it not been for those men. I never should have become a physical inves- tigator, and hence without them I should not have been here to-day. They told me what I ought to do in a way that caused me to do it, and all my consequent intellectual action is to be traced to this purely moral source. To Car- lyle and Emerson I ought to add Fichte, the greatest rep- resentative of pure idealism. These three unscientific men made me a practical scientific worker. They called out, " Act ! " I hearkened to the summons, taking the liberty, however, of determining for myself the direction which effort was to take. And I may now cry, " Act ! " but the potency of action must be yours. I may pull the trigger, but if the gun be not charged there is no result. We are creators in the intellectual world as little as in the physical. "We may remove obstacles, and render latent capacities active, but we cannot suddenly change the nature of man. The " new birth " itself implies the preexistence of the new character which requires not to be created but brought forth. You cannot by any amount of missionary labor suddenly trans- form the savage into the civilized Christian. The improve- ment of man is secular not the work of an hour or of a day. But though indubitably bound by our organizations, no man knows what the potentialities of any human mind may be, which require only release to be brought into ac- AN ADDRESS TO STUDENTS. 103 tion. Let me illustrate this point. There are in the min- eral world certain crystals, certain forms, for instance, of fluor-spar, which have lain darkly in the earth for ages, but which nevertheless have a potency of light locked up within them. In their case the potential has never become actual the light is in fact held back by a molecular detent. When these crystals are warmed, the detent is lifted, and an out- flow of light immediately begins. I know not how many of you may be in the condition of this fluor-spar. For aught I know, every one of you may be in this condition, requiring but the proper agent to be applied the proper word to be spoken to remove a detent, and to render you conscious of light within yourselves and sources of light to others. The circle of human nature, then, is not complete with- out the arc of feeling and emotion. The lilies of the field have a value for us beyond their botanical ones a certain lightening of the heart accompanies the declaration that " Solomon in all his glory was not arrayed like one of these." The sound of the village bell which comes mellowed from the valley to the traveller upon the hill, has a value beyond its acoustical one. The setting sun when it mantles with the bloom of roses the alpine snows, has a value beyond its optical one. The starry heavens, as you know, had for Im- manuel Kant a value beyond their astronomical one. Round about the intellect sweeps the horizon of emotions from which all our noblest impulses are derived. I think it very desirable to keep this horizon open ; not to permit either priest or philosopher to draw down his shutters between you and it. And here the dead languages, which are sure to be beaten by science in the purely intellectual fight, have an irresistible claim. They supplement the work of science by exalting and refining the aesthetic faculty, and must on this account be cherished by all who desire to see human culture complete. There must be a reason for the fascina- tion which these languages have so long exercised upon 104 FRAGMENTS OF SCIENCE. the most powerful and elevated minds a fascination which will probably continue for men of Greek and Romtta mould to the end of time. In connection with this question of the emotions one very obvious danger besets many of the more earnest spirits of our day the danger of haste in endeavoring to give the feelings repose. We are distracted by systems of theology and philosophy which were taught to us when young, and which now excite in us -a hunger and a thirst for knowledge not proved to be attainable. There are periods when the judgment ought to remain in suspense, the data on which a decision might be based being absent. This discipline of suspending the judgment is a common one in science, but not so common as it ought to be elsewhere. I walked down Regent Street some time ago with a man of great gifts and acquirements, discussing with him various theo- logical questions. I could not accept his views of the origin and destiny of the universe, nor was I prepared to enun- ciate any definite view r s of my own. He turned to me at length and said, " You surely must have a theory of the universe." That I should in one way or another have solved this mystery of mysteries seemed to my friend a matter of course. " I have not even a theory of magnetism," was my reply. We ought to learn to wait, and pause before closing with the advances of those expounders of the ways of God to men, who offer us intellectual peace at the modest cost of intellectual life. The teachers of the world ought to be its best men, and for the present at all events such men must learn self-trust. They must learn more and more to do without external aid ; save such aid as comes from the contemplation of a uni- verse, which, though it baffles the intellect, can elevate the heart. But they must learn to feel the mystery of that universe without attempting to give it a rigid form, per- sonal or otherwise. By the fulness and freshness of their AN ADDRESS TO STUDENTS. 105 own lives and utterances they must awaken life in othersX The position of science is already assured, but I think the \ poet also will have a great part to play in the future of the/ world. To him it is given for a long time to come to fill those shores which the recession of the theologic tide has left exposed ; to him, when he rightly understands his mis- sion, and does not flinch from the tonic discipline which it assuredly demands, we have a right to look for that height- ening and brightening of life which so many of us need. He ought to be the interpreter of that power which as " Jehovah, Jove, or Lord," has hitherto filled and strengthened the human heart. Let me utter one practical word in conclusion take care of your health. There have been men who by wise attention to this point might have risen to any eminence might have made great discoveries, written great poems, commanded armies, or ruled states, but who by unwise neglect of this point have come to nothing. Imagine Her- cules as oarsman in a rotten boat ; what can he do there but by the very force of his stroke expedite the ruin of his craft. Take care then of the timbers of your boat, and avoid all practices likely to introduce either wet or dry rot among them. And this is not to be accomplished by desul- tory or intermittent efforts of the will, but by the formation of habits. The will no doubt has sometimes to put forth its strength in order to strangle or crush the special tempta- tion. But the formation of right habits is essential to your permanent security. They diminish your chance of falling when assailed, and they augment your chance of recovery when overthrown. VI. SCOPE AND LIMIT OF SCIENTIFIC MATERIALISM, AN ADDRESS. DELIVERED IN THE MATHEMATICAL AND PHYSICAL SECTION OF THE BRITISH ASSOCIATION IN NORWICH. August 19, 1868. "As I proceeded I found my philosopher altogether forsaking mind or any other principle of order, and having recourse to air and ether, and water, and other eccentricities. I might compare him to a person who began by maintaining generally that mind is the cause of the actions of Socrates, but who, when he endeavored to explain the cause of my several actions in detail, went on to show that I sit here because my body is made up of bones and muscles ; and the bones he would say are hard and have ligaments which divide them, and the muscles are elastic, and they cover the bones, which have also a covering or environment of flesh and skin which contains them ; and as the bones are lifted at their joints by the contraction or relaxation of the muscles, I am able to bend my limbs, and this is why I am sitting here in a curved posture ; that is what he would say, and he would have a similar explanation of my talk- ing to you, which he would attribute to sound, and air, and hearing, and he would assign ten thousand other causes of the same sort, forgetting to mention the true cause, which is that the Athenians have thought fit to condemn me, and accordingly I have thought it better and more right to remain here and undergo my sentence ; for I am inclined to think that these muscles and bones of mine would have gone off to Megara or Boaotia by the dog of Egypt they would, if they had been guided by their own idea of what was best, and if I had not chosen as the better and nobler part, instead of playing truant and running away, to undergo any punishment which the State inflicts." PLATO, Jowctfs Translation. VI. SCIENTIFIC MATERIALISM. THE CELEBRATED FiCHTE, in his lectures on the "Vo- cation of the Scholar," insisted on a culture which should not be one-sided, but all-sided. The scholar's intellect was to expand spherically and not in a single direction only. In one direction, however, Fichte required that the scholar should apply himself directly to Nature, be- come a creator of knowledge, and thus repay by original labors of his own the immense debt he owed to the labors of others. It was these which enabled him to sup- plement the knowledge derived from his own researches, so as to render his culture rounded and not one-sided. As regards science Fichte's idea is to some extent illustrated by the constitution and the labors of the British Association. We have a body of men engaged in the pursuit of Natural Knowledge, but variously engaged^ While sympathizing with each of its departments, and supplementing his culture by knowledge drawn from all of them, each student among us selects one subject for the exercise of his own original faculty one line along which he may carry the light of his private intelligence a little way into the darkness by which all knowledge is sur- rounded. Thus, the geologist deals with the rocks ; the biologist with the conditions and phenomena of life ; the astronomer with stellar masses and motions ; the mathe- matician with the relations of space and number; the 110 FRAGMENTS OF SCIENCE. chemist pursues his atoms, while the physical investigator has his own large field in optical, thermal, electrical, acoustical, and other phenomena. The British Associa- tion then, as a whole, faces physical Nature on all sides and pushes knowledge centrifugally outward, the sum of its labors constituting what Fichte might call the sphere of natural knowledge. In the meetings of the Association it is found necessary to resolve this sphere into its component parts, which take concrete form under the respective letters of our Sections. This is the Mathematical and Physical Section. Mathe- matics and physics have been long accustomed to coalesce. For, no matter how subtle a natural phenomenon may be, whether we observe it in the region of sense, or follow it into that of imagination, it is in the long-run reducible to mechanical laws. But the mechanical data once guessed or given, mathematics become all-powerful as an instru- ment of deduction. The command of geometry over the relations of space, the far-reaching power which organized symbolic reasoning confers, are potent both as means of physical discovery, and of reaping the entire fruits of dis- covery. Indeed, without mathematics, expressed or im- plied, our knowledge of physical science would be friable in the extreme. Side by side with the mathematical method we have the method of experiment. Here, from a starting-point furnished by his own researches, or those of others, the in- vestigator proceeds by combining intuition and verification. He ponders the knowledge he possesses and tries to push it further, he guesses and checks his guess, he conjectures and confirms or explodes his conjecture. These guesses and conjectures are by no means leaps in the dark ; for knowledge once gained casts a faint light beyond its own immediate boundaries. There is no discovery so limited as not to illuminate something beyond itself. The force SCIENTIFIC MATERIALISM. Ill of intellectual penetration into this penumbral region which surrounds actual knowledge is not, as some seem to think, dependent upon method, but upon the genius of the in- vestigator. There is, however, no genius so gifted as not to need control and verification. The profoundest minds know best that Nature's ways are not at all times their ways, and that the brightest flashes in the world of thought are incomplete until they have been proved to have their counterparts in the world of fact. Thus the^ vocation of the true experimentalist may be defined as the continued exercise of spiritual insight, and its inces- sant correction and realization. His experiments consti- tute a body, of which his purified intuitions are, as it were, the soul. Partly through methematical and partly through ex- perimental research, physical science has of late years as- sumed a momentous position in the world. Both in a material and in an intellectual point of view it has pro- duced, and it is destined to produce, immense changes vast social ameliorations, and vast alterations in the popu- lar conception of the origin, rule, and governance of natural things. By science, in the physical world, miracles are wrought, while philosophy is forsaking its ancient meta- physical channels and pursuing others which have been opened or indicated by scientific research. This must be- come more and more the case as philosophical writers become more deeply imbued with the methods of science, better acquainted with the facts which scientific men have won, and with the great theories which they have elaborated. If you look at the face of a watch, you see the hour and minute hands, and possibly also a second-hand, moving over the graduated dial. Why do these hands move ? and why are their relative motions such as they are observed to be ? These questions cannot be answered without open- ing the watch, mastering its various parts, and ascertaining 112 FRAGMENTS OF SCIENCE. their relationship to each other. When this is done, we find that the observed motion of the hands follows of ne- cessity from the inner mechanism of the watch, when acted upon by the force invested in the spring. The motion of the hands may be called a phenomenon of art, but the case is similar with the phenomena of Nature. These also have their inner mechanism, and their store of force to set that mechanism going. The ultimate problem of physical science is to reveal this mechanism, to discern this store, and to show that from the combined action of both the phenomena of which they constitute the basis must of necessity flow. I thought an attempt to give you even a brief and sketchy illustration of the manner in which scientific think- ers regard this problem would not be uninteresting to you on the present occasion ; more especially as it will give me occasion to say a word or two on the tendencies and limits of modern science ; to point out the region which men of science claim as their own, and where it is mere waste of time to oppose their advance, and also to define, if possible, the bourne between this and that other region to which the questionings and yearnings of the scientific intellect are directed in vain. But here your tolerance will be needed. It was the American Emerson, I think, who said that it is hardly pos- sible to state any truth strongly without apparent injustice to some other truth. Truth is often of a dual character, taking the form of a magnet with two poles ; and many of the differences which agitate the thinking part of mankind are to be traced to the exclusiveness with which partisan reasoners dwell upon one-half of the duality in forgetfulness of the other. The proper course appears to be to state both halves strongly, and allow each its fair share in the formation of the resultant conviction. But this waiting for the statement of the two sides of a question implies pa- SCIENTIFIC MATERIALISM. 113 tience. It implies a resolution to suppress indignation if the statement of the one-half should clash with our convic- tions, and to repress equally undue elation if the half-state- ment should happen to chime in with our views. It implies a determination to wait calmly for the statement of the whole, before we pronounce judgment in the form of either acquiescence or dissent. This premised, and, I trust, accepted, let us enter upon our task. There have been writers who affirmed that the pyramids of Egypt were the productions of Nature ; and in his early youth Alexander von Humboldt wrote a learned essay with the express object of refuting this notion. We now regard the pyramids as the work of men's hands, aided probably by machinery of which no record remains. We picture to ourselves the swarming workers toiling at those vast erections, lifting the inert stones, and, guided by the volition, the skill, and possibly at times by the whip of the architect, placing them in their proper positions. The blocks in this case were moved and posited by a power external to themselves, and the final form of the pyramid expressed the thought of its human builder. Let us pass from this illustration of constructive power to another of a different kind. When a solution of common salt is slowly evaporated, the water which holds the salt in solution diappears, but the salt itself remains behind. At a certain stage of concentration the salt can no longer retain the liquid form ; its particles, or molecules, as they are called, begin to deposit themselves as minute solids, so minute, indeed, as to defy all microscopic power. As evapo- ration continues solidification goes on, and we finally obtain, through the clustering together of innumerable molecules, a finite crystalline mass of a definite form. What is this form ? It sometimes seems a mimicry of the architecture of Egypt. We have little pyramids built by the salt, terrace above terrace from base to apex, forming a series of 114 FRAGMENTS OF SCIENCE. steps resembling those up which the Egyptian traveller is dragged by his guides. The human mind is as little dis- posed to look unquestioning at these pyramidal salt-crys- tals as to look at the pyramids of Egypt without inquiring whence they came. How, then, are those salt-pyramids built up ? Guided by analogy, you may, if you like, suppose that swarming among the constituent molecules of the salt, there is an invisible population, controlled and coerced by some invisible master, and placing the atomic blocks in their positions. This, however, is not the scientific idea, nor do I think your good sense will accept it as a likely one. The scientific idea is that the molecules act upon each other without the intervention of slave labor ; that they attract each other and repel each other at certain definite points, or poles, and in certain definite directions ; and that the pyramidal form is the result of this play of attraction and repulsion. While, then, the blocks of Egypt were laid down by a power external to themselves, these molecular blocks of salt are self-posited, being fixed in their places by the forces with which they act upon each other. I take common salt as an illustration because it is so familiar to us all ; but any other crystalline substance would answer my purpose equally well. Everywhere, in fact, throughout inorganic Nature, we have this formative power, as Fichte would call it this structural energy ready to come into play, and build the ultimate particles of matter into definite shapes. The ice of our winters and of our polar regions is its handywork, and^ so equally are the quartz, felspar, and mica of our rocks.\ Our chalk-beds are for the most part composed of minute shells, which are also the product of structural energy ; but, behind the shell, as a whole, lies a more remote and subtle formative act. These shells are built up of little crystals of calc-spar, and to form these crystals the structural force had to deal with the SCIENTIFIC MATERIALISM. 115 intangible molecules of carbonate of lime. This tendency on the part of matter to organize itself, to grow into shape, to assume definite forms in obedience to the definite action of force, is, as I have said, all-pervading. It is in the ground on which you tread, in the water you drink, in the air you breathe. Incipient life, as it were, manifests itself throughout the whole of what we call inorganic Nature. The forms of the minerals resulting from this play of polar forces are various, and exhibit different degrees of complexity. Men of science avail themselves of all possible means of exploring their molecular architecture. For this purpose they employ in turn as agents of exploration, light, heat, magnetism, electricity, and sound. Polarized light is especially useful and powerful here. A beam of such light, when sent in among the molecules of a crystal, is acted on by them, and from this action we infer with more or less of clearness the manner in which the molecules are arranged. That differences, for example, exist between the inner structure of rock-salt and crystallized sugar or sugar-candy, is thus strikingly revealed. These actions often display themselves in chromatic phenomena of great splendor, the play of molecular force being so regulated as to remove some of the colored constituents of white light, and to leave others with increased intensity behind. And now let us pass from what we are accustomed to regard as a dead mineral to a living grain of corn. When it is examined by polarized light, chromatic phenomena similar to those noticed in crystals are observed. And why ? Because the architecture of the grain resembles the architecture of the crystal. In the grain also the molecules are set in definite positions, and in accordance with their arrangement they act upon the light. But what has built together the molecules of the corn ? I have already said regarding crystalline architecture that you may, if you please, consider the atoms and molecules to be placed in 116 FRAGMENTS OF SCIENCE. position by a power external to themselves. The same hypothesis is open to you now. But if in the case of crys- tals you have rejected this notion of an external architect, I think you are bound to reject it now, and to conclude that the molecules of the corn are self-posited by the forces with which they act upon each other. It would be poor philosophy to invoke an external agent in the one case and to reject it in the other. Instead of cutting our grain of corn into slices and sub- jecting it to the action of polarized light, let us place it in the earth and subject it to a certain degree of warmth. In other words, let the molecules, both of the corn and of the surrounding earth, be kept in that state of agitation which we call warmth. Under these circumstances, the grain and the substances which surround it interact, and a definite molecular architecture is the result. A bud is formed ; this bud reaches the surface, where it is exposed to the sun's rays, which are also to be regarded. as a kind of vibratory motion. And as the motion of common heat with which the grain and the substances surrounding it were first endowed, enabled the grain and these substances to exer- cise their attractions and repulsions, and thus to coalesce in definite forms, so the specific motion of the sun's rays now enables the green bud to feed upon the carbonic acid and the aqueous vapor of the air. The bud appropriates those constituents of both for which it has an elective attraction, and permits the other constituent to resume its place in the air. Thus the architecture is carried on. Forces are active at the root, forces are active in the blade, the matter of the earth and the matter of the atmosphere are drawn toward the root and blade, and the plant aug- ments in size. We have in succession the bud, the stalk, the ear, the full corn in the ear; the cycle of molecular action being completed by the production of grains similar to that with which the process began. SCIENTIFIC MATERIALISM. 117 Now there is nothing in this process which necessarily eludes the conceptive or imagining power of the purely human mind. An intellect the same in kind as our own would, if only sufficiently expanded, be able to follow the whole process from beginning to end. It would see every molecule placed in its position by the specific attractions and repulsions exerted between it and other molecules, the whole process and its consummation being an instance of the play of molecular force. Given the grain and its envi- ronment, the purely human intellect might, if sufficiently expanded, trace out a priori every step of the process of growth, and by the application of purely mechanical prin- ciples demonstrate that the cycle must end, as it is seen to end, in the reproduction of forms like that with which it began. A similar necessity rules here to that which rules the planets in their circuits round the sun. You will notice that I am stating my truth strongly, as at the beginning we agreed it should be stated. But I must go still further, and affirm that in the eye of science the animal body is just as much the product of molecular force as the stalk and ear of corn, or as the crystal of salt or sugar. Many of the parts of the body are obviously mechanical. Take the human heart, for example, with its system of valves, or take the exquisite mechanism of the eye or hand. Animal heat, moreover, is the same in kind as the heat of a fire, being produced by the same chemical process. Animal motion, too, is as directly derived from the food of the animal, as the motion of Trevethyck's walk- ing-engine from the fuel in its furnace. As regards matter, the animal body creates nothing ; as regards force, it creates nothing. Which of you by taking thought can add one cubit to his stature ? All that has been said, then, regard- ing the plant may be restated with regard to the animal. Every particle that enters into the composition of a muscle, a nerve, or a bone, has been placed in its position by mo- 118 FRAGMENTS OF SCIENCE. lecular force. And unless the existence of law in these matters be denied, and the element of caprice introduced, we must conclude that, given the relation of any molecule of the body to its environment, its position in the body might be determined mathematically. Our difficulty is not with the quality of the problem, but with its complexity and this difficulty might be met by the simple expansion of the faculties which we now possess. Given this expan- sion, with the necessary molecular data, and the chick might be deduced as rigorously and as logically from the egg as the existence of Neptune from the disturbances of Uranus, or as conical refraction from the undulatory theory L of light. You see I am not mincing matters, but avowing nakedly what many scientific thinkers more or less distinctly be- lieve. The formation of a crystal, a plant, or an animal, is in their eyes a purely mechanical problem, which differs from the problems of ordinary mechanics in the smallness of the masses and the complexity of the processes involved. Here you have one half of our dual truth ; let us now glance at the other half. Associated with this wonderful mechan- ism of the animal body we have phenomena no less certain than those of physics, but between which and the mechan- ism we discern no necessary connection. A man, for ex- ample, can say, I feel, I thinJc, I love ; but how does consciousness infuse itself into the problem ? The human brain is said to be the organ of thought and feeling ; when we are hurt the brain feels it, when we ponder it is the brain that thinks, when our passions or affections are ex- cited it is through the instrumentality of the brain. Let us endeavor to be a little more precise here. I hardly imagine there exists a profound scientific thinker, who has reflected I upon the subject, unwilling to admit the extreme proba- bility of the hypothesis that, for every fact of consciousness, whether in the domain of sense, of thought, or of emotion, SCIENTIFIC MATERIALISM. 119 a definite molecular condition of motion or structure is set up in the brain ; or who would be disposed even to deny that if the motion or structure be induced by internal causes instead of external, the effect on consciousness will be the same ? Let any nerve, for example, be thrown by morbid action into the precise state of motion which would be communicated to it by the pulses of a heated body, surely that nerve will declare itself hot the mind will accept the subjective intimation exactly as if it were ob- jective. The retina may be excited by purely mechanical means. A blow on the eye causes a luminous flash, and the mere pressure of the finger on the external ball pro- duces a star of light, which Newton compared to the circles on a peacock's tail. Disease makes people see visions and dream dreams ; but, in all such cases, could we examine the organs implicated, we should, on philosophical grounds, expect to find them in that precise molecular condition which the real objects, if present, would superinduce. The relation of physics to consciousness being thus invariable, it follows that, given the state of the brain, the corresponding thought or feeling might be inferred ; or given the thought or feeling, the corresponding state of the brain might be inferred. But how inferred ? It would be at bottom not a case of logical inference at all, but of empirical association. You may reply that many of the inferences of science are of this character ; the inference, for example, that an electric current of a given direction will deflect a magnetic needle in a definite way ; but the cases differ in this, that the passage from the current to the needle, if not demonstrable, is thinkable, and that we enter- tain no doubt as to the final mechanical solution of the problem. But the passage from the physics of the brain to the corresponding facts of consciousness is unthinkable. Granted that a definite thought, and a definite molecular 7 action in the brain occur simultaneously ; we do not possess 120 FRAGMENTS OF SCIENCE. the intellectual organ, nor apparently any rudiment of the organ, which would enable us to pass, by a process of rea- i soning, from the one to the other. They appear together, I but we do not know why. Were our minds and senses so expanded, strengthened, and illuminated as to enable us to see and feel the very molecules of the brain ; were we capable of following all their motions, all their groupings, all their electric discharges, if such there be ; and were we intimately acquainted with the corresponding states of thought and feeling, we should be as far as ever from the solution of the problem, " How are these physical processes I connected with the_facts of consciousness ? " The chasm between the two classes of phenomena would still remain intellectually impassable. Let the consciousness of love, for example, be associated with a right-handed spiral motion of the molecules of the brain, and the consciousness of hate with a left-handed spiral motion. "We should then know when we love that the motion is in one direction, and when we hate that the motion is in the other ; but the " WHY ? " would remain as unanswerable as before. ' ' r ""ln affirming that the growth of the body is mechanical, and that thought, as exercised by us, has its correlative in the physics of the brain, I think the position of the " Ma- terialist" is stated, as far as that position is a tenable one. I think the materialist will be able finally to main- tain this position against all attacks ; but I do not think, in the present condition of the human mind, that he can pass beyond this position. I do not think he is entitled to say that his molecular groupings and his molecular motions explain every thing. In reality, they explain nothing. The utmost he can affirm is the association of two classes of phenomena, of whose real bond of union he is in absolute ignorance. The problem of the con- nection of body and soul is as insoluble in its modern form as it was in the prescientific ages. Phosphorus is SCIENTIFIC MATERIALISM. 121 known to enter into the composition of the human brain, and a trenchant German writer has exclaimed, -^-Ohrre Phespht3iy^eift-Gedaiikez" That may or may not be the case ; but even if we knew it to be the case, the knowledge would not lighten our darkness. On both sides of the zone here assigned to the materialist he is equally helpless. If you ask him whence is this " Matter " of which we have been discoursing, who or what divided it into molecules, who or what impressed upon them this necessity of running into organic forms, he has no answer. Science is mute in reply to these questions. But if the materialist is con- founded and science rendered dumb, who else is prepared with a solution ? To whom has this arm of the Lord been revealed? Let us lower our heads and acknowledge our ignorance, priest and philosopher, one and all. Perhaps the mystery may resolve itself into knowledge nt some future day. The process of things upon this earth has been one of amelioration. It is a long way from the Iguanodon and his contemporaries to the President and members of the British Association. And whether we re- gard the improvement from the scientific or from the theo- logical point of view, as the result of progressive develop- ment, or as the result of successive exhibitions of creative energy, neither view entitles us to assume that man's present faculties end the series that the process of amelioration stops at him. A time may therefore come when this ultra- scientific region by which we are now enfolded may offer it- self to terrestrial, if not to human investigation. Two-thirds of the rays emitted by the sun fail to arouse in the eye the sense of vision. The rays exist, but the visual organ requi- site for their translation into light does not exist. And so from this region of darkness and mystery which surrounds us, rays may now be darting which require but the develop- ment of the proper intellectual organs to translate them into knowledge as far surpassing ours as ours surpasses G 122 FRAGMENTS OF SCIENCE. that of the wallowing reptiles which once held possession gf this planet. Meanwhile the mystery is not without its uses. It certainly may be made a power in the human soul ; but it is a power which has feeling, not knowledge, for its base. It may be, and will be, and I hope is, turned to account, both in studying and strengthening the intellect, and in rescuing man from that littleness to which, in the struggle for existence, or for precedence in the world, he is continually prone. Musings on the Matterliorn, .July 27, 1868. " HACKED and hurt by time, the aspect of the mountain from its higher crags saddened me. Hitherto the impression it made was that of savage strength ; here we had inexorable decay. But this notion of decay implied a reference to a period when the Matterhora was in the full strength of mountainhood. Thought naturally ran back to its remoter origin and sculpture. Nor did thought halt there, but wandered on through molten worlds to that nebulous haze which philosophers have regarded, and with good reason, as the proximate source of all material things. I tried to look at this universal cloud, containing within itself the prediction of all that has since occurred ; I tried to imagine it as the seat of those forces whose action was to issue in solar and stellar systems, and all that they involve. Did that formless fog contain potentially the sadness with which I regarded the Matterhorn ? Did the thought which now ran back to it simply return to its primeval home ? If so, had we not better recast our definitions of matter and force ; for if life and thought be the very flower of both, any definition which omits life and thought must be inadequate, if not untrue. Are questions like these warranted ? Why not ? If the final goal of man has not been yet attained ; if his development has not been yet arrested, who can say that such yearnings and questionings are not necessary to the opening of a finer vision, to the budding and the growth of diviner powers ? When I look at the heavens and the earth, at my own body, at my strength and weakness of mind, even at these ponderings, and ask myself, is there no being or thing in the universe that knows more about these matters than I do ; what is my answer ? Supposing our theologic schemes of crea- tion, condemnation, and redemption, to be dissipated ; and the warmth of denial which they excite, and which, as a motive force, can match the warmth of affirmation dissipated at the same time ; would the undeflected human mind return to the meridian of absolute neutrality as regards these ultra-physical questions ? Is such a position one of stable equilibrium ? The channels of thought being already formed, such are the questions without replies, which could run athwart consciousness during a ten- rninutes, halt upon the weathered point of the Matterhorn." VII. ON THE SCIENTIFIC USE OF THE IMAGINATION, A DISCOUKSE. DELIVERED BEFORE THE BRITISH ASSOCIATION AT LITERPOOL. September 16, 1870. " If thou wouldst know the mystic song Chanted when the sphere was young, Aloft, abroad, the paean swells, wise man, hear'st thou half it tells ? To the open ear it sings The early genesis of things ; Of tendency through endless ages Of star-dust and star-pilgrimages, Of rounded worlds, of space and time, Of the old floods' subsiding slime, Of chemic matter, force and form, Of poles and powers, cold, wet, and warm. The rushing metamorphosis Dissolving all that fixture is, Melts things that be to things that seem, And solid Nature to a dream." EMERSON. " Was war' ein Gott der nur von aussen stiesse Im Kreis das All am Finger laufen Hesse ! Ihm ziemt's, die Welt im Innern zu bewegen, Natur in Sich, Sich in Natur zu hegen." GOETHE. SCIENTIFIC USE OF THE IMAGINATION. " Lastly, physical investigation more than any thing besides helps to teach us the actual value and rigid use of the Imagination of that wondrous faculty, which, left to ramble uncontrolled, leads us astray into a wilderness of perplexities and errors, a land of mists and shadows ; but which properly con- trolled by experience and reflection, becomes the noblest attribute of man : the source of poetic genius, the instrument of discovery in Science, without tlie aid of which Newton would never have invented jluxions, nor Davy have decom- posed the earths and alkalies, nor would Columbus have found another Con- tinent." Address to the Royal Society by its President, Sir Benjamin Brodie, November 30, 1859. I CARRIED with me to the Alps this year the heavy burden of this evening's work. In the way of new inves- tigation I had nothing complete enough to be brought before you ; so all that remained to me was to fall back upon such residues as I could find in the depths of con- sciousness, and out of them to spin the fibre and weave the web of this discourse. Save from memory I had no direct aid upon the mountains ; but to spur up the emotions, on which so much depends, as well as to nourish indirectly the intellect and will, I took with me two volumes of poetry, Goethe's " Farbenlehre," and the work on " Logic " recently published by Mr. Alexander Bain. 1 The spur, I am sorry to say, was no match for the integument of dulness it had 1 One of my critics remarks, that he does not see the wit of calling Goethe's " Farbenlehre" and Bain's " Logic," " two volumes of poetry." Nor do I. 128 FRAGMENTS OF SCIENCE. to pierce. In Goethe, so glorious otherwise, I chiefly noticed the self-inflicted hurts of genius, as it broke itself in vain against the philosophy of Newton. For a time, Mr. Bain became my principal companion. I found him learned and practical, shining generally with a dry light, but exhibiting at times a flush of emotional strength, which proved that even logicians share the common fire of hu- manity. He interested me most when he became the mirror of my own condition. Neither intellectually nor socially is it good for man to be alone, and the griefs of thought are more patiently borne when we find that they have been experienced by another. From certain passages in his book I could infer that Mr. Bain was no stranger to such sorrows. Take this passage as an illustration. Speak- ing of the ebb of intellectual force, which we all from time to time experience, Mr. Bain says, " The uncertainty where to look for the next opening of discovery brings the pain of conflict and the debility of indecision." These words have in them the true ring of personal experience. The action of the investigator is periodic. He grapples with a subject of inquiry, wrestles with it, overcomes it, exhausts, it may be, both himself and it for the time being. He breathes a space, and then renews the struggle in another field. Now this period of halting between two investigations is not always one of pure repose. It is often a period of doubt and discomfort, of gloom and ennui. "The uncertainty where to look for the next opening of discovery brings the pain of conflict and the debility of indecision." Such was my precise condition in the Alps this year ; in a score of words Mr. Bain has here sketched my mental diagnosis ; and it was under these evil circumstances that I had to equip myself for the hour and the ordeal that are now come. / Gladly, however, as I should have seen this duty in other hands, I could by no means shrink from it. Disloy- SCIENTIFIC USE OF THE IMAGINATION. 129 alty would have been worse than failure. In some fashion or other feebly or strongly, meanly or manfully, on the higher levels of thought, or on the flats of commonplace the task had to be accomplished. I looked in various direc- tions for help and furtherance ; but without me for a time I saw only " antres vast," and within me "deserts idle." >My case resembled that of a sick doctor who had forgotten his art and sorely needed the prescription of a friend. Mr. Bain wrote one for me. He said, " Your present knowl- edge must forge the links of connection between what has been already achieved and what is now required." 3 In these words he admonished me to review the past and re- cover from it the broken ends of former investigations. I tried to do so. Previous to going to Switzerland I had been thinking much of light and heat, of magnetism and electricity, of organic germs, atoms, molecules, spontaneous generation, comets, and skies. With one or another of these I now sought to reform an alliance, and finally suc- ceeded in establishing a kind of cohesion between Thought and Light. The wish grew within me to trace, and to en- able you to trace, some of the more occult operations of this agent. I wished, if possible, to take you behind the drop-scene of the senses, and to show you the hidden mech- anism of optical action. For I take it to be well worth the while of the scientific teacher to take some pains, and even great pains, to make those whom he addresses copart- ners of his thoughts. To clear his own mind in the first place of all haze and vagueness, and then to project into lan- guage which shall leave no mistake as to his meaning which shall leave even his errors naked the definite ideas he has shaped. A great deal is, I think, possible to scien- tific exposition conducted in this way. It is possible, I believe, even before an audience like the present, to un- cover to some extent the unseen things of Nature; and 1 Induction, p. 422. 130 FRAGMENTS OF SCIENCE. thus to give not only to professed students, but to others with the necessary bias, industry, and capacity, an intelli- gent interest in the operations of science. Time and labor are necessary to this result, but science is the gainer from the public sympathy thus created. How, then, are those hidden things to be revealed ? How, for example, are we to lay hold of the physical basis of light, since, like that of life itself, it lies entirely without the domain of the senses ? Philosophers may be right in affirming that we cannot transcend experience ; but we can at all events carry it a long way from its origin. We can also magnify, diminish, qualify, and combine experiences, so as to render them fit for purposes entirely new. We are gifted with the power of imagination combining what the Ger- mans call Anschauungsgabe and Einbildungskraft and by this power we can lighten the darkness which surrounds the world of the senses. There are tories even in science who regard imagination as a faculty to be feared and avoided rather than employed. They had observed its action in weak vessels, and were unduly impressed by its disasters. But they might with equal justice point to exploded boil- ers as an argument against the use of steam. Bounded and conditioned by cooperant Reason, imagination becomes the mightiest instrument of the physical discoverer. Newton's passage from a falling apple to a falling moon was, at the outset, a leap of the imagination. When William Thom- son tries to place the ultimate particles of matter between his compass-points, and to apply to them a scale of milli- metres, he is powerfully aided by this faculty. And in much that has been recently said about protoplasm and life, we have the outgoings of the imagination guided and controlled by the known analogies of science. In fact, without this power, our knowledge of Nature would be a mere tabulation of coexistences and sequences. We should still believe in the succession of day and night, of summer SCIENTIFIC USE OF THE IMAGINATION. 131 and winter ; but the soul of Force would be dislodged from our universe ; causal relations would disappear, and with them that science which is now binding the parts of Nature to an organic whole. / I should like to illustrate by a few simple instances the use that scientific men have already made of this power of imagination, and to indicate afterward some of the further uses that they are likely to make of it. Let us begin with the rudimentary experiences. Observe the falling of heavy rain-drops into a tranquil pond. Each drop as it strikes the water becomes a centre of disturbance, from which a series of ring-ripples expand outwards. Gravity and inertia are the agents by which this wave-motion is produced, and a rough experiment will suffice to show that the rate of propagation does not amount to a foot a second. A series of slight mechanical shocks is experienced by a body plunged in the water as the wavelets reach it in succes- sion. But a finer motion is at the same time set up and propagated. If the head and ears be immersed in the wa- ter, as in an experiment of Franklin's, the shock of the drop is communicated to the auditory nerve the tick of the drop is heard. Now this sonorous impulse is propa- gated, not at the rate of a foot a second, but at the rate of forty-seven hundred feet a second. In this case it is not the gravity, but the elasticity of the water that is the ur- ging force. Every liquid particle pushed against its neigh- bor delivers up its motion with extreme rapidity, and the pulse is propagated as a thrill. The incompressibility of water, as illustrated by the famous Florentine experiment, is a measure of its elasticity, and to the possession of this property in so high a degree the rapid transmission of a sound-pulse through water is to be ascribed. But water, as youiknow, is not necessary to the conduc- tion of sound ; air is its most common vehicle. And you know that when the air possesses the particular density 132 FRAGMENTS OF SCIENCE. and elasticity corresponding to the temperature of freezing- water the velocity of sound in it is ten hundred and ninety feet a second. It is almost exactly one-fourth of the ve- locity in water ; the reason being that though the greater weight of the water tends to diminish the velocity, the enormous molecular elasticity of the liquid far more than atones for the disadvantage due to weight. By various contrivances we can compel the vibrations of the air to declare themselves ; we know the length and frequency of sonorous waves, and we have also obtained great mastery over the various methods by which the air is thrown into vibration. We know the phenomena and laws of vibrating rods, of organ-pipes, strings, membranes, plates, and bells. We can abolish one sound by another. We know the physical meaning of music and noise, of harmony and dis- cord. In short, as regards sounds we have a very clear notion of the external physical processes which corre- spond to our sensations. In these phenomena of sound we travel a very little way from downright sensible experience. Still the imagi- nation is to some extent exercised. The bodily eye, for example, cannot see the condensations and rarefactions of the waves of sound. We construct them in thought, and we believe as firmly in their existence as in that of the air itself. But now our experience has to be carried into a new region, where a new use is to be made of it. Having mastered the cause and mechanism of sound, we desire to know the cause and mechanism of light. We wish to ex- tend our inquiries from the auditory nerve to the optic nerve. There is in the human intellect a power of expansion^ I might almost call it a power of creation^-which is brought into play by the simple brooding upon facts. The legend of the Spirit brooding over chaos may have originated in a knowledge of this power. In the case now before us it has manifested itself by transplanting into space, for the pur- SCIENTIFIC USE OF THE IMAGINATION. 133 poses of light, an adequately modified form of the mechan- ism of sound. We know intimately whereon the velocity of sound depends. When we lessen the density of a medium and preserve its elasticity constant we augment the velocity. When we heighten the elasticity and keep the density con- stant we also augment the velocity. A small density, therefore, and a great elasticity, are the two things neces- sary to rapid propagation. Now light is known to move with the astounding velocity of 185,000 miles a second. How is such a velocity to be obtained? By boldly dif- fusing in space a medium of the requisite tenuity and elasticity. Let us make such a medium our starting-point, endow- ing it with one or two other necessary qualities ; let us handle it in accordance with strict mechanical laws ; let us give to every step of our deduction the surety of the syl- logism ; let us carry it thus forth from the world of imagi- nation into the world of sense, and see whether the final outcrop of the deduction be not the very phenomena of light which ordinary knowledge and skilled experiment re- veal. If in all the multiplied varieties of these phenomena, including those of the most remote and entangled descrip- tion, this fundamental conception always brings us face to face with the truth ; if no contradiction to our deductions from it be found in external Nature, but on all sides agree- ment and verification ; if, moreover, as in the case of Coni- cal Refraction and in other cases, it has actually forced upon our attention phenomena which no eye had previously seen, and which no mind had previously imagined, such a conception, which never disappoints us, but always lands us on the solid shores of fact, must, we think, be something more than a mere figment of the scientific fancy. In form- ing it that composite and creative unity in which reason and imagination are together blent, has, we believe, led us into a world not less real than that of the senses, and of 134 FRAGMENTS OF SCIENCE. which the world of sense itself is the suggestion and justi- fication. Far be it from me, however, to wish to fix you immov- ably in this or in any other theoretic conception. With all our belief of it, it will be well to keep the theory plastic and capable of change. You may, moreover, urge that although the phenomena occur as if the medium existed, the absolute demonstration of its existence is still wanting. Far be it from me to deny to this reasoning such validity as it may fairly claim. Let us endeavor by means of anal- ogy to form a fair estimate of its force. You believe that in society you are surrounded by reasonable beings like yourself. You are perhaps as firmly convinced of this as of any thing. What is your warrant for this conviction ? Simply and solely this, your fellow-creatures behave as if they were reasonable ; the hypothesis, for it is nothing more, accounts for the facts. To take an eminent example : you believe that our President is a reasonable being. Why ? There is no known method of superposition by which any one of us can apply himself intellectually to another so as to demonstrate coincidence as regards the possession of reason. If, therefore, you hold our President to be reason- able, it is because he behaves as if he were reasonable. As in the case of the ether, beyond the " as if" you cannot go. Nay I should not wonder if a close comparison of the data on which both inferences rest, caused many respectable persons to conclude that the ether had the best of it. This universal medium, this light-ether as it is called, is a vehicle, not an origin of wave-motion. It receives and transmits, but it does not create. Whence does it derive the motions it conveys ? For the most part from luminous bodies. By this motion of a luminous body I do not mean its sensible motion, such as the flicker of a candle, or the shooting out of red prominences from the limb of the sun. I mean an intestine motion of the atoms or molecules of SCIENTIFIC USE OF THE IMAGINATION. 135 the luminous body. But here a certain reserve is necessary. Many chemists of the present day refuse to speak of atoms and molecules as real things. Their caution leads them to stop short of the clear, sharp, mechanically intelligible atomic theory enunciated by Dalton, or any form of that theory, and to make the doctrine of multiple proportions their intellectual bourne. I respect the caution, though I think it is here misplaced. The chemists who recoil from these notions of atoms and molecules accept without hesita- tion the Undulatory Theory of Light. Like you and me, they one and all believe in an ether and its light-producing waves. Let us consider what this belief involves. Bring your imaginations once more into play and figure a series of sound-waves passing through air. Follow them up to their origin, and what do you there find ? A definite, tan- gible, vibrating body. It may be the vocal chords of a human being, it may be an organ-pipe, or it may be a stretched string. Follow in the same manner a train of ether-waves to their source ; remembering at the same time that your ether is matter, dense, elastic, and capable of motions subject to and determined by mechanical laws. What then do you expect to find as the source of a series of ether-waves ? Ask your imagination if it will accept a vibrating multiple proportion a numerical ratio in a state of oscillation ? I do not think it will. You cannot crown the edifice by this abstraction. The scientific imagination, which is here authoritative, demands as the origin and cause of a series of ether-waves a particle of vibrating matter quite as definite, though it may be excessively minute, as that which gives origin to a musical sound. Such a particle we name an atom or a molecule. I think the seeking intel- lect when focussed so as to give definition without penum- bral haze, is sure to realize this image at the last. With a view of preserving thought continuous through- out this discourse, and of preventing either failure of knowl- 136 FRAGMENTS OF SCIENCE. edge or of memory from causing any rent in our picture, I here propose to run rapidly over a bit of ground which is probably familiar to most of you, but which I am anxious to make familiar to you all. The waves generated in the ether by the swinging atoms of luminous bodies are of different lengths and amplitudes. The amplitude is the width of swing of the individual particles of the wave. In water- waves it is the height of the crest above the trough, while the length of the wave is the distance between two con- secutive crests. The aggregate of waves emitted by the sun may be broadly divided into two classes : the one class com- petent, the other incompetent, to excite vision. But the light-producing waves differ markedly among themselves in size, form, and force. The length of the largest of these waves is about twice that of the smallest, but the amplitude of the largest is probably a hundred times that of the smallest. Now the force or energy of the wave, which, ex- pressed with reference to sensation, means the intensity of the light, is proportional to the square of the amplitude. Hence the amplitude being one-hundred-fold, the energy of the largest light-giving waves would be ten-thousand-fold that of the smallest. This is not improbable. I use these figures not with a view to numerical accuracy, but to give you definite ideas of the differences that probably exist among the light-giving waves. And if we take the whole range of solar radiation into account its non-visual as well as its, visual waves I think it probable that the force or eo^fgy of the largest wave is a million times that of the smallest. Turned into their equivalents of sensation, the different light-waves produce different colors. Red, for example, is roduced by the largest waves, violet by the smallest, while green is produced by a wave of intermediate length and amplitude. On entering from air into more highly refract- ing substances, such as glass or water, or the sulphide of SCIENTIFIC USE OF THE IMAGINATION. 137 carbon, all the waves are retarded, but the smallest ones most. This furnishes a means of separating the different classes of waves from each other ; in other words, of ana- lyzing the light. Sent through a refracting prism, the waves of the sun are turned aside in different degrees from their direct course, the red least, the violet most. They are vir- tually pulled asunder, and they paint upon a white screen placed to receive them "the solar spectrum." Strictly speaking, the spectrum embraces an infinity of colors, but the limits of language and of our powers of distinction cause it to be divided into seven segments : red, orange, yellow, green, blue, indigo, violet. These are the seven primary or prismatic colors. Separately, or mixed in, various proportions, the solar waves yield all the colors observed in nature and employed in art. Collectively, they give us the impression of white- ness. Pure unsifted solar light is white ; and if all the wave-constituents of such light be reduced in the same pro- portion the light, though diminished in intensity, will still be white. The whiteness of Alpine snow with the sun shining upon it, is barely tolerable to the eye. The same snow under an overcast firmament is still white. Such a firmament enfeebles the light by reflection, and when we lift ourselves above a cloud-field to an Alpine summit, for in- stance, or to the top of Snowdon and see, in the proper direction, the sun shining on the clouds, they appear daz- zlingly white. Ordinary clouds, in fact, divide the solar light impinging on them into two parts a reflected part and a transmitted part, in each of which the proportions of wave-motion which produce the impression of whiteness are sensibly preserved. It will be understood that the conditions of whiteness would fail if all the waves were diminished equally r , or by the same absolute quantity. They must be reduced pro- portionately, instead of equally. If by the act of reflection 138 FRAGMENTS OF SCIENCE. the waves of red light are split into exact halves, then, to preserve the light white, the waves of yellow, orange, green, and blue must also be split into exact halves. In short, the reduction must take place, not by absolutely equal quanti- ties, but by equal fractional parts. In white light the pre- ponderance as regards energy of the latter over the smaller waves must always be immense. Were the case otherwise, the physiological correlative, blue, of the smaller waves would have the upper hand in our sensations. My wish to render our mental images complete, causes me to dwell briefly upon these known points, and the same wish will cause me to linger a little longer among others. But here I am disturbed by my reflections. When /I consider the effect of dinner upon the nervous system, and the relation of that system to the intellectual powers I am now invoking when I remember that the universal expe- rience of mankind has fixed upon certain definite elements of perfection in an after-dinner speech, and when I think how conspicuous by their absence these elements are on the present occasion, the thought is not comforting to a man who wishes to stand well with his fellow-creatures in gen- eral, and with the members of the British Association in particular. My condition might well resemble that of the ether, which is scientifically defined as an assemblage of vibrations. And the worst of it is, that unless you reverse the general verdict regarding the effect of dinner, and prove in your own persons that a uniform experience need not con- tinue uniform which will be a great point gained for some people these tremors of mine are likely to become more and more painful. But I call to m jpd the comforting words of an inspired though uncanonical writer, who admonishes us in the Apocrypha that fear is a bad counsellor. Let me then cast him out, and let me trustfully assume that you will one and all postpone that balmy sleep, of which dinner, might under the circumstances be regarded as the indis- SCIENTIFIC USE OF THE IMAGINATION. 139 soluble antecedent, and that you will manfully and woman- fully prolong your investigations of the ether and its waves into regions which have been hitherto crossed by the pioneers of science alone. Not only are the waves of ether reflected by clouds, by solids, and by liquids, but when they pass from light air to dense, or from dense air to light, a portion of the wave- motion is always reflected. Now our atmosphere changes continually in density from top to bottom. It will help our conceptions if we regard it as made up of a series of thin concentric layers, or shells of air, each shell being of the same density throughout, and a small and sudden change of density occurring in passing from shell to shell. Light would be reflected at the limiting surfaces of all these shells, and their action would be practically the same as that of the real atmosphere. And now I would ask your imagination to picture this act of reflection. What must become of the reflected light ? The atmospheric layers turn their convex surfaces toward the sun ; they are so many convex mirrors of feeble power, and you will immediately perceive fhat the light regularly reflected from these surfaces cannot reach the earth at all, but is dispersed in space. But though the sun's light is not reflected in this fashion from the aerial layers to the earth, there is indubitable evi- dence to show that the light of our firmament is reflected light. Proofs of the most cogent description could be here adduced ; but we need only consider that we receive light at the same time from all parts of the hemisphere of heav- en. The light of the firmament comes to us across the di- rection of the solar rays, and even against the direction of the solar rays ; and this lateral and opposing rush of wave- motion can only be due to the rebound of the waves from the air itself, or from something suspended in the air. It is also evident that, unlike the action of clouds, the solar light is not reflected by the sky in the proportions which produce 140 FRAGMENTS OF SCIENCE. white. The sky is blue, which indicates a deficiency on part of the larger waves. In accounting for the color of the sky, the first question suggested by the analogy would undoubt- edly be, Is not the air blue ? The blueness of the air has in fact been given as a solution of the blueness of the sky. But reason, basing itself on observation, asks in reply, How, if the air be blue, can the light of sunrise and sunset, which travels through vast distances of air, be yellow, orange, or even red ? The passage of white solar light through a blue medium could by no possibility redden the light. The hy- pothesis of a blue air is therefore untenable. In fact, the agent, whatever it is, which sends us the light of the sky, exercises in so doing a dichroitic action. The light reflected is blue, the light transmitted is orange or red. A marked distinction is thus exhibited between the matter of the sky and that of an ordinary cloud, which exercises no such di- chroitic action. By the force of imagination and reason combined we may penetrate this mystery also. The cloud takes no note of size on the part of the waves of ether, but reflects them ah 1 alike. It exercises no selective action. Now, the cause of this may be that the cloud-particles are so large in com- parison with the size of the waves of ether as to reflect them all indifferently. A broad cliff reflects an Atlantic roller as easily as a ripple produced by a sea-bird's wing ; and in the presence of large reflecting surfaces, the existing differences of magnitude among the waves of ether may disappear. But supposing the reflecting particles, instead of being very large, to be very small, in comparison with the size of the waves. In this case, instead of the whole wave being fronted and in great part thrown back, a small portion only is shivered off. The great mass of the wave passes over such a particle without reflection. Scatter, then, a handful of such minute foreign particles in our atmosphere, and set imagination to watch their action upon the solar waves. SCIENTIFIC USE OF THE IMAGINATION. 141 Waves of all sizes impinge upon the particles, and you see at every collision a portion of the impinging wave struck off. All the waves of the spectrum, from the extreme red to the extreme violet, are thus acted upon. But in what proportions will the waves be scattered ? A clear picture will enable us to anticipate the experimental answer. Re- membering that the red waves are to the blue much in the relation of billows to ripples, let us consider whether those extremely small particles are competent to scatter all the waves in the same proportion. If they be not and a little reflection will make it clear to you that they are not the production of color must be an incident of the scattering. Largeness is a thing of relation ; and the smaller the wave, the greater is the relative size of any particle on which the wave impinges, and the greater also the ratio of the scat- tered portion to the total wave. A pebble placed in the way of the ring-ripples produced by our heavy rain-drops on a tranquil pond will throw back a large fraction of the ripple incident upon it, while the fractional part of a larger wave thrown back by the same pebble might be infinitesi- mal. - Now we have already made it clear to our minds that to preserve the solar light white, its constituent pro- portions must not be altered ; but in the act of division performed by these very small particles we see that the proportions are altered ; an undue fraction of the smaller waves is scattered by the particles, and, as a consequence, in the scattered light, blue will be the predominant color. The other colors of the spectrum must, to some extent, be associated with the blue. They are not absent but deficient. We ought, in fact, to have them all, but in diminishing pro- portions, from the violet to the red. We have here presented a case to the imagination, and, assuming the undulatory theory to be a reality, we have, I think, fairly reasoned our way to the conclusion that, were particles, small in comparison to the size of the ether-waves. 142 FRAGMENTS OF SCIENCE. sown in our atmosphere, the light scattered by those parti- cles would be exactly such as we observe in our azure skies. When this light is analyzed, all the colors of the spectrum are found ; but they are found in the proportions indicated by our conclusion. Let us now turn our attention to the light which passes unscattered among the particles. How must it be finally affected ? By its successive collisions with the particles, the white light is more and more robbed of its shorter waves ; it therefore loses more and more of its due propor- tion of blue. The result may be anticipated. The trans- mitted light, where short distances are involved, will appear yellowish. But as the sun sinks toward the horizon the atmospheric distances increase, and consequently the num- ber of the scattering particles. They abstract in succession the violet, the indigo, the blue, and even disturb the pro- portions of green. The transmitted light under such cir- cumstances must pass from yellow through orange to red. This also is exactly what we find in Nature. Thus, while the reflected light gives us at noon the deep azure of the Alpine skies, the transmitted light gives us at sunset the warm crimson of the Alpine snows. The phenomena cer- tainly occur as if our atmosphere were a medium rendered slightly turbid by the mechanical suspension of exceedingly small foreign particles. Here, as before, we encounter our skeptical " as if" It is one of the parasites of science, ever at hand, and ready to plant itself and sprout, if it can, on the weak points of our philosophy. But a strong constitution defies the para- site, and in our case, as we question the phenomena, proba- bility grows like growing health, until in the end the malady of doubt is completely extirpated. The first question that naturally arises is, Can small particles be really proved to act in the manner indicated ? No doubt of it. Each one of you can submit the question to an experimental test. SCIENTIFIC USE OF THE IMAGINATION. 143 Water will not dissolve resin, but spirit will; and when spirit which holds resin in solution is dropped into water, the resin immediately separates in solid particles, which render the water milky. The coarseness of this precipitate depends on the quantity of the dissolved resin. You can cause it to separate in thick clots or in exceedingly fine particles. Professor Brlicke has given us the proportions which produce particles particularly suited to our present purpose. One gramme of clean mastic is dissolved in eighty-seven grammes of absolute alcohol, and the trans- parent solution is allowed to drop into a beaker containing clear water kept briskly stirred. An exceedingly fine precipitate is thus formed, which declares its presence by its action upon light. Placing a dark surface behind the beaker, and permitting the light to fall into it from the top or front, the medium is seen to be distinctly blue. It is not perhaps so perfect a blue as I have seen on exceptional days, this year, among the Alps, but it is a very fair sky- blue. A trace of soap in water gives a tint of blue. Lon- /don, and I fear Liverpool milk, makes an approximation to the same color through the operation of the same cause ; and Helmholtz has irreverently disclosed the fact that the deepest blue eye is simply a turbid medium. The action of turbid media upon light was illustrated by Goethe, who, though unacquainted with the undula- tory theory, was led by his experiments to regard the firmament as an illuminated turbid medium with the dark- ness of space behind it. He describes glasses showing a bright yellow by transmitted, and a beautiful blue by re- flected light. Professor Stokes, who was probably the first to discern the real nature of the action of small particles on the waves of ether, describes a glass of a similar kind. 1 1 This glass, by reflected light, had a color " strongly resembling that of a decoction of a horse-chestnut bark." Curiously enough, Goethe refers to this very decoction : " Man nehme "einen Streifcn frischer Rinde 144 FRAGMENTS OF SCIENCE. Capital specimens of such glass are to be found at Salviati's in St. James's Street. What artists call "chill" is no doubt an effect of this description. Through the action of minute particles, the browns of a picture often present the appearance of the bloom of a plum. By rubbing the var- nish with a silk handkerchief optical continuity is estab- lished, and the chill disappears. Some years ago I wit- nessed Mr. Hirst experimenting at Zermatt on the turbid water of the Visp, which was charged with the finely-divided matter ground down by the glaciers. When kept still for a day or so, the grosser matter sank, but the finer matter remained suspended, and gave a distinctly blue tinge to the water. The blueness of certain Alpine lakes has been shown to be in part due to this cause. Professor Roscoe has noticed several striking cases of a similar kind. In a very remarkable paper the late Principal Forbes showed that steam issuing from the safety-valve of a locomotive, when favorably observed, exhibits at a certain stage of its con- densation the colors of the sky. It is blue by reflected light, and orange or red by transmitted light. The same effect, as pointed out by Goethe, is to some extent ex- hibited by peat-smoke. More than ten years ago I amused myself at Killarney by observing on a calm day the straight smoke-columns rising from the cabin chimneys. It was easy to project the lower portion of a column against a dark pine, and its upper portion against a bright cloud. The smoke in the former case was blue, being seen mainly by reflected light ; in the latter case it was reddish, being seen mainly by transmitted light. Such smoke was not in exactly the condition to give us the glow of the Alps, but it was a step in this direction. Brticke's fine pre- cipitate above referred to koks yellowish by transmitted von der Rosskastanie, man stecke denselben in ein Glas Wasser, und in der kiirzesten Zeit werden wir das vollkommenste Himmelblau entstchcn sehen." Goethe's Werlce, b. xxix., p. 24. SCIENTIFIC USE OF THE IMAGINATION. 145 light, but by duly strengthening the precipitate you may render the white light of noon as ruby-colored as the sun when seen through Liverpool smoke, or upon Alpine hori- zons. I do not, however, point to the gross smoke arising from coal as an illustration of the action of small particles, because such smoke soon absorbs and destroys the waves of blue instead of sending them to the eyes of the observer. These multifarious facts, and numberless others which cannot now be referred to, are explained by reference to the single principle, that where the scattering particles are small in comparison to the size of the waves w^e have in the reflected light a greater proportion of the smaller waves, and in the transmitted light a greater proportion of the larger waves, than existed in the original white light. The physiological consequence is that in the one light blue is predominant, and in the other light orange or red. And now let us push our inquiries forward. Our best microscopes can readily reveal objects not more than -^-g-o-oth of an inch in diameter. This is less than the length of a wave of red light. Indeed, a first-rate microscope would enable us to discern objects not exceed- ing in diameter the length of the smallest waves of the visible spectrum. By the microscope, therefore, we can submit our particles to an experimental test. If they are as large as the light-waves they will infallibly be seen : and if they are not seen it is because they are smaller. I placed in the hands of our President a bottle containing Briicke's particles in greater number and coarseness than those examined by Brticke himself. The liquid was a milky blue, and Mr. Huxley applied to it his highest microscopic power. He satisfied me at the time that had particles of even I0o 1 o0o th of an inch in diameter existed in the liquid they could riot have escaped detection. But no particles were seen. Under the microscope the turbid liquid was not to be distinguished from distilled water. 7 146 FRAGMENTS OF SCIENCE. Briicke, I may say, also found the particles to be of ultra- microscopic magnitude. But we have it in our power to imitate far more closely than we have hitherto done the natural conditions of this problem. "We can generate in air, as many of you know, artificial skies, and prove their perfect identity with the natural one, as regards the exhibition of a number of wholly unexpected phenomena. By a continuous process of growth, moreover, we are able to connect sky-matter, if I may use the term, with molecular matter on the one side, and with molar matter, or matter in sensible masses, on the other. In illustration of this, I will take an ex- periment described by M. Morren of Marseilles at the last meeting of the British Association. Sulphur and oxygen combine , to form sulphurous acid gas. It is this choking gas that is smelt when a sulphur-match is burnt in air. Two atoms of oxygen and one of sulphur constitute the molecule of sulphurous acid. Now it has been recently shown in a great number of instances that waves of ether issuing from a strong source, such as the sun or the electric light, are competent to shake asunder the atoms of gaseous molecules. A chemist would call this " decom- position" by light; but it behooves us, who are examin- ing the power and function of the imagination, to keep constantly before us the physical images which underlie our terms. Therefore, I say, sharply and definitely, that the components of the molecules of sulphurous acid are shaken asunder by the ether-waves. Enclosing the sub- stance in a suitable vessel, placing it in a dark room, and sending through it a powerful beam of light, we at first see nothing : the vessel containing the gas is as empty as a vacuum. Soon, however, along the track of the beam a beautiful sky-blue color is observed, which is due to the liberated particles of sulphur. For a time the blue grows more intense ; it then becomes whitish ; SCIENTIFIC USE OF THE IMAGINATION. 147 and from a whitish blue it passes to a more or less perfect white. If the action be continued long enough, we end by filling the tube with a dense cloud of sulphur-particles, which by the application of proper means may be rendered visible. Here, then, our ether-waves untie the bond of chemical affinity, and liberate a body sulphur which at ordinary temperatures is a solid, and which therefore soon becomes an object of the senses. We have first of all the free atoms of sulphur, which are both invisible and incompetent to stir the retina sensibly with scattered light. But these atoms gradually coalesce and form particles, which grow larger by continual accretion, until after a minute or two they appear as sky-matter. In this condition they are in- visible themselves, but competent to send an amount of wave-motion to the retina sufficient to produce the fir- mamental blue. The particles continue, or may be caused to continue, in this condition for a considerable time, during which no microscope can cope with them. But they continually grow larger, and pass by insensible grada- tions into the state of cloud, when they can no longer elude the armed eye. Thus without solution of continuity we start with matter in the molecule, and end with matter in the mass, sky-matter being the middle term of the series of transformations. Instead of sulphurous acid, we might choose from a dozen other substances, and produce the same effect with any of them. In the case of some probably in the case of all it is possible to preserve matter in the skyey con- dition for fifteen or twenty minutes under the continual operation of the light. During these fifteen or twenty minutes the particles are constantly growing larger, with- out ever exceeding the size requisite to the production of the celestial blue. Now, when two vessels are placed be- fore you, each containing sky-matter, it is possible to state 148 FRAGMENTS OF SCIENCE. with great distinctness which vessel contains the largest particles. The retina is very sensitive to differences of light, when, as here, the eye is in comparative darkness, and when the quantities of wave-motion thrown against the retina are small. The larger particles declare them- selves by the greater whiteness of their scattered light. Call now to mind the observation, or effort at observation, made by our President, when he failed to distinguish the particles of mastic in Brticke's medium, and when you have done so follow me. I permitted a beam of light to act upon a certain vapor. In two minutes the azure appeared, but at the end of fifteen minutes it had not ceased to be azure. After fifteen minutes, for example, its color, and some other phenomena, pronounced it to be a blue of dis- tinctly smaller particles than those sought for in vain by Mr. Huxley. These particles, as already stated, must have been less than 1 ^ O th of an inch in diameter. And now I want you to submit to your imagination the following question: Here are particles which have been growing continually for fifteen minutes, and at the end of that time are demonstrably smaller than those which defied the mi- croscope of Mr. Huxley : what must have been the size of these particles at the beginning of their growth ? What notion can you form of the magnitude of such particles ? The distances of stellar space give us simply a bewildering sense of vastness without leaving any distinct impression on the mind, and the magnitudes with which we have here to do bewilder us equally in the opposite direction. We are dealing with infinitesimals compared with which the test objects of the microscope are literally immense. From their perviousness to stellar light and other con- siderations, Sir John Herschel drew some startling conclu- sions regarding the density and weight of comets. You know that these extraordinary and mysterious bodies some- times throw out tails 100,000,000 of miles in length, and SCIENTIFIC USE OF THE IMAGINATION. 149 50,000 miles in diameter. The diameter of our earth is 8,000 miles. Both it and the sky, and a good portion of space beyond the sky, would certainly be included in a sphere 10,000 miles across. Let us fill a hollow sphere of this diameter with cometary matter, and make it our unit of measure. To produce a comet's tail of the size just men- tioned, about 300,000 such measures would have to be emptied into space. Now, suppose the whole of this stuff to be swept together and suitably compressed, what do you suppose its volume would be ? Sir John Herschel would probably tell you that the whole mass might be carted away at a single effort by one of your dray-horses. In fact, I do not know that he would require more than a small fraction of a horse-power to remove the cometary dust. After this you will hardly regard as monstrous a notion I have sometimes entertained concerning the quantity of matter in our sky. Suppose a shell to surround the earth at a height above the surface which would place it beyond the grosser matter that hangs in the lower regions of the air say at the height of the Matterhorn or Mont Blanc. Outside this shell we have the deep-blue firmament. Let the atmospheric space beyond the shell be swept clean, and let the sky-matter be properly gathered up. What is its probable amount ? I have sometimes thought that a lady's portmanteau would contain it all. I have thought that even a gentleman's portmanteau possibly his snuff-box might take it in. And whether the actual sky be capable of this amount of condensation or not, I entertain no doubt that a sky quite as vast as ours, and as good in appearance, could be formed from a quantity of matter which might be held in the hollow of the hand. Small in mass, the vastness in point of number of the particles of our sky may be inferred from the continuity of its light. It is not in broken patches, nor at scattered points that the heavenly azure is revealed. To the observer on 150 FRAGMENTS OF SCIENCE. the summit of Mont Blanc the blue is as uniform and co- herent as if it formed the surface of the most close-grained solid. A marble dome would not exhibit a stricter con- tinuity. And Mr. Glaisher will inform you that if our hy- pothetical shell were lifted to twice the height of Mont Blanc above the earth's surface, we should still have the azure overhead. Everywhere through the atmosphere those sky-particles are strewn. They fill the Alpine valleys, spreading like a delicate gauze in front of the slopes of pine. They sometimes so swathe the peaks with light as to abolish their definition. This year I have seen the Weisshorn thus dissolved in opalescent air. By proper instruments the glare thrown from the sky-particles against the retina may be quenched, and then the mountain which it obliterated starts into sudden definition. Its extinction in front of a dark mountain resembles exactly the with- drawal of a veil. It is the light then taking possession of the eye, and not the particles acting as opaque bodies, that interferes with the definition. By day this light quenches the stars ; even by moonlight it is able to exclude from vision all stars between the fifth and the eleventh magni- .,- tude. It may be likened to a noise, and the stellar radiance to a whisper drowned by the noise. What is tl^ nature of the particles which shed this light ? The celebrated De la Rive ascribes the haze of the Alps in fine weather to floating organic germs. Now, the possible existence of germs in such profusion has been held up as an absurdity. It has been affirmed that they would darken the air, and on the assumed impossibility of their existence in the requisite numbers, without invasion of the solar light, a powerful argument has been based by be- lievers in spontaneous generation. Similar arguments have been used by the opponents of the germ theory of epidemic disease, who have triumphantly challeged an ap- peal to the microscope and the chemist's balance to decide SCIENTIFIC USE OF THE IMAGINATION. 151 the question. Such arguments are absolutely valueless. Without committing myself in the least to De la Rive's notion, without offering any objection here to the doctrine of spontaneous generation, without expressing any adhe- rence to the germ theory of disease, I would simply draw attention to the fact that in the atmosphere we have parti- cles which defy both the microscope and the balance, which do not darken the air, and which exist, nevertheless, in multitudes sufficient to reduce to insignificance the Israel- itish hyperbole regarding the sands upon the sea-shore. The varying judgments of men on these and other ques- tions may perhaps be, to some extent, accounted for by that doctrine of relativity which plays so important a part in philosophy. This doctrine affirms that the impressions made upon us by any circumstance, or combination of cir- cumstances, depend upon our previous state. Two travellers upon the same peak, the one having ascended to it from the plain, the other having descended to it from a higher elevation, will be differently affected by the scene around them. To the one Nature is expanding, to the other it is contracting, and feelings are sure to differ which have two such different antecedent states. In our scientific judg- ments the law of relativity may also play an important part. To two men, one educated in the school of the senses, who has mainly occupied himself with observation, and the other educated in the school of imagination as well, and exercised in the conceptions of atoms and molecules, to which we have so frequently referred, a bit of matter, say -^^th of of an inch in diameter, will present itself differently. The one descends to it from his molar heights, the other climbs to it from his molecular low-lands. To the one it appears small, to the other large. So also as regards the apprecia- tion of the most minute forms of life revealed by the micro- scope. To one of these men they naturally appear conter- minous with the ultimate particles of matter, and he readily 152 FRAGMENTS OF SCIENCE. figures the molecules from which they directly spring ; with him there is but a step from the atom to the organism. The other discerns numberless organic gradations between both. Compared with his atoms, the smallest vibrios and bacteria of the microscopic fielcl are as behemoth and levia- than. The law of relativity may to some extent explain the different attitudes of these two men with regard to the question of spontaneous generation. An amount of evi- dence which satisfies the one entirely fails to satisfy the other ; and while to the one the last bold defence and start- ling expansion of the doctrine will appear perfectly conclu- sive, to the other it will present itself as imposing a profit- less labor of demolition on subsequent investigators. 1 I trust, Mr. President, that you whom untoward circum- stances have made a biologist, but who still keep alive your sympathy with that class of inquiries which Nature intend- ed you to pursue and adorn will excuse me to your breth- ren if I say that some of them seem to form an inadequate estimate of the distance which separates the microscopic from the molecular limit, and that, as a consequence, they sometimes employ a phraseology which is calculated to mis- lead. When, for example, the contents of a cell are de- scribed as perfectly homogeneous, as absolutely structure- less, because the microscope fails to distinguish any struct- ure, then I think the microscope begins to play a mischiev^ ous part. A little consideration will make it plain to all of you that the microscope can have no voice in the real question of germ-structure. Distilled water is more per- fectly homogeneous than the contents of any possible or- ganic germ. What causes the liquid to cease contracting at 39 Fahrenheit, and to expand until it freezes ? It is a structural process of which the microscope can take no note, nor is it likely to do so by any conceivable extension 1 A resolute scrutiny of the experiments, recently executed with reference to this question, is sure to yield i instructive results. SCIENTIFIC USE OF THE IMAGINATION. 153 of its powers. Place this distilled water in the field of an electro-magnet, and bring a microscope to bear upon it. Will any change be observed when the magnet is excited ? Absolutely none ; and still profound and complex changes have occurred. First of all, the particles of water are ren- dered diamagneticallj polar ; and secondly, in virtue of the structure impressed upon it by the magnetic strain of its molecules, the liquid twists a ray of light in a fashion per- fectly determinate both as to quantity and direction. It would be immensely interesting to both you and me if one whom I hoped to see here present, 1 who has brought his brilliant imagination to bear upon this subject, could make us see as he sees the entangled molecular processes involved in the rotation of the plane of polarization by magnetic force. While dealing with this question, he lived in a world of matter and of motion, to which the microscope has no passport, and in which it can offer no aid. The cases in which similar conditions hold are simply numberless. Have the diamond, the amethyst, and the countless other crystals formed in the laboratories of Nature and of man no struct- ure ? Assuredly they have ; but what can the microscope make of it ? Nothing. It cannot be too distinctly borne in mind that between the microscope limit and the true molecular limit there is room for infinite permutations and combinations. It is in this region that the poles of the atoms are arranged, that tendency is given to their powers, so that when these poles and powers have free action and proper stimulus in a suitable environment, they determine first the germ, and afterward the complete organism. This first marshalling of the atoms on which all subsequent ac- tion depends baffles a keener power than that of the micro- scope. Through pure excess of complexity, and long be- fore observation can have any voice in the matter, the most highly-trained intellect, the most refined and disciplined 1 Sir William Thomson 154 FKAGMENTS OF SCIENCE. imagination, retires in bewilderment from the contempla- tion of the problem. "We are struck dumb by an astonish- ment which no microscope can relieve, doubting not only the power of our instrument, but even whether we ourselves possess the intellectual elements which will ever enable us to grapple with the ultimate structural energies of Nature. But the speculative faculty, of which imagination forms so large a part, will nevertheless wander into regions where the hope of certainty would seem to be entirely shut out. We think that though the detailed analysis may be, and may forever remain, beyond us, general notions may be at- tainable. At all events, it is plain that beyond the present outposts of microscopic inquiry lies an immense field for the exercise of the speculative power. It is only, however, the privileged spirits who know how to use their liberty without abusing it, who are able to surround imagination by the firm frontiers of reason, that are likely to work with any profit here. But freedom to them is of such paramount importance that, for the sake of securing it, a good deal of wildness on the part of weaker brethren may be overlooked. In more senses than one Mr. Darwin has drawn heavily upon the scientific tolerance of his age. He has drawn heavily upon time in his development of species, and he has drawn adventurously upon matter in his theory of pangen- esis. According to this theory, a germ already microscopic is a world of minor germs. Not only is the organism as a whole wrapped up in the germ, but every organ of the or- ganism has there its special seed. This, I say, is an adven- turous draft on the power of matter to divide itself and distribute its forces. But, unless we are perfectly sure that he is overstepping the bounds of reason, that he is unwit- tingly sinning against observed fact or demonstrated law for a mind like that of Darwin can never sin wittingly against either fact or law we ought, I think, to be cautious in limiting his intellectual horizon. If there be the least SCIENTIFIC USE OF THE IMAGINATION. 155 doubt in the matter, it ought to be given in favor of the freedom of such a mind. To it a vast possibility is in it- self a dynamic power, though the possibility may never be drawn upon. It gives me pleasure to think that the facts and reasonings of this discourse tend rather toward the justification of Mr. Darwin than toward his condemna- tion, that they tend rather to augment than to diminish the cubic space demanded by this soaring speculator ; for they seem to show the perfect competence of matter and force, as regards divisibility and distribution, to bear the heaviest strain that he has hitherto imposed upon them. In the case of Mr. Darwin, observation, imagination, and reason combined, have run back W 7 ith wonderful sagacity and success over a certain length of the line of biological succession. Guided by analogy, in his " Origin of Species," he placed at the root of life a primordial germ, from which he conceived the amazing richness and variety of the life that now is upon the earth's surface might be deduced. If this hypothesis were true, it would not be final. The hu- man imagination would infallibly look behind the germ, and, however hopeless the attempt, would inquire into the history of its genesis. In this dim twilight of conjecture the searcher welcomes every gleam, and seeks to augment his light by indirect incidences. He studies the methods of Nature in the ages and the worlds within his reach, in order to shape the course of speculation in the antecedent ages and worlds. And though the certainty possessed by experimental inquiry is here shut out, the imagination is not left entirely without guidance. From the examination of the solar system, Kant and Laplace came to the conclu- sion that its various bodies once formed parts of the same undislocated mass ; that matter in a nebulous form preceded matter in a dense form ; that as the ages rolled away, heat was wasted, condensation followed, planets were detached, and that finally the chief portion of the fiery cloud reached, 156 FRAGMENTS OF SCIENCE. by self-compression, the magnitude and density of our sun. Tlie earth itself offers evidence of a fiery origin ; and in our day the hypothesis of Kant and Laplace receives the inde- pendent countenance of spectrum analysis, which proves the same substances to be common to the earth and sun. Accepting some such view of the construction of our system as probable, a desire immediately arises to connect the present life of our planet with the past. "We wish to know something of our remotest ancestry. On its first de- tachment from the central mass, life, as we understand it, could hardly have been present on the earth. How, then, did it come there ? The thing to be encouraged here is a reverent freedom a freedom preceded by the hard disci- pline which checks licentiousness in speculation while the thing to be repressed, both in science and out of it, is dog- matism. And here I am in the hands of the meeting willing to end, but ready to go on. I have no right to in- trude upon you, unasked, the unformed notions which are floating like clouds, or gathering to more solid consistency in the modern speculative scientific mind. But if you wish me to speak plainly, honestly, and undisputatiously, I am willing to do so. On the present occasion " You are ordained to call, and I to come." Two views, then, offer themselves to us. Life was pres- ent potentially in matter when in the nebulous form, and was unfolded from it by the way of natural development, or it is a principle inserted into matter at a later date. With regard to the question of time, the views of men have changed remarkably in our day and generation ; and I must say as regards courage also, and a manful willingness to engage in open contest, with fair weapons, a great change has also occurred. The clergy of England at all events the clergy of London have nerve enough to listen to the strongest views which any one among us would care SCIENTIFIC USE OF THE IMAGINATION. 157 to utter ; and they invite, if they do not challenge, men of the most decided opinions to state and stand by those opin- ions in open court. Let the hardiest theory be stated only in the language current among gentlemen, and they look it in the face ; smiting the theory, if they do not like it, not with theologicfulrnination, but with honest secular strength. With the country clergy I am told the case is different. It is right that I should say this, because the clergy of Lon- don have more than once offered me the chance of meeting them in open, honorable discussion. Two or three years ago, in an ancient London College, I listened to such a discussion at the end of a remarkable lecture by a very remarkable man. Three or four hundred clergymen were present at the lecture. The orator began with the civilization of Egypt in the time of Joseph ; pointing out that the very perfect organization of the kingdom, and the possession of chariots, in one of which Joseph rode, indicated a long antecedent period of civili- zation. He then passed on to the mud of the Nile, its rate of augmentation, its present thickness, and the re- mains of human handiwork found therein ; thence to the rocks which bound the Nile valley, and which teem with organic remains. Thus in his own clear and admirable way he caused the idea of the world's age to expand itself indefinitely before the mind of his audience, and he con- trasted this with the age usually assigned to the world. During his discourse he seemed to be swimming against the stream ; he manifestly thought that he was opposing a general conviction. He expected resistance ; so did I. But it was all a mistake : there was no adverse current, o opposing conviction, no resistance, merely here and there a half-humorous, but unsuccessful attempt to entan- gle him in his talk. The meeting agreed with all that had been said regarding the antiquity of the earth and of its life. They had, indeed, known it all long ago, and 158 FRAGMENTS OF SCIENCE. they good-humoredly rallied the lecturer for coming among them with so stale a story. It was quite plain that this large body of clergymen, who were, I should say, the finest samples of their class, had entirely given up the ancient landmarks, and transported the conception of life's origin to an indefinitely distant past. ^- This leads us to the gist of our present inquiry, which is this : Does life belong to what we call matter, or is it an independent principle inserted into matter at some suitable epoch say when the physical conditions became such as to permit of the development of life ? Let us put the ques- tion with all the reverence due to a faith and culture in which we all were cradled a faith and culture, moreover, which are the undeniable historic antecedents of our pres- ent enlightenment. I say, let us put the question rever- ently, but let us also put it clearly and definitely. There are the strongest grounds for believing that during a cer- tain period of its history the earth was not, nor was it fit to be, the theatre of life. Whether this was ever a nebu- lous period, or merely a molten period, does not much matter ; and if we revert to the nebulous condition, it is because the probabilities are really on its side. Our ques- tion is this : Did creative energy pause until the nebulous matter had condensed, until the earth had been detached, until the solar fire had so far withdrawn from the earth's / vicinity as to permit a crust to gather round the planet ? . Did it wait until the air was isolated, until the seas were formed, until evaporation, condensation, and the descent of rain had begun, until the eroding forces of the atmosphere had weathered and decomposed the molten rocks so as to form soils, until the sun's rays had become so tempered by distance and by waste as to be chemically fit for the de- compositions necessary to vegetable life ? Having waited through those MOILS until the proper conditions had set in, did it send the fiat forth, " Let Life be ! " ? These ques- SCIENTIFIC USE OF THE IMAGINATION. 159 tions define a hypothesis not without its difficulties, but the dignity of which was demonstrated by the nobleness of the men whom it sustained. Modern scientific thought is called upon to decide be- tween this hypothesis and another: and public thought generally will afterward be called upon to do the same. You may, however, rest secure in the belief that the hy- pothesis just sketched can never be stormed, and that it is sure, if it yield at all, to yield to a prolonged siege. To gain new territory modern argument requires more time than modern arms, though both of them move with greater rapidity than of yore. But however the convictions of indi- viduals here and there may be influenced, the process must be slow and secular which commends the rival hypothesis of Natural Evolution to the public mind. For what are the core and essence of this hypothesis ? Strip it naked and you stand face to face with the notion that not alone the more ignoble forms of animalcular or animal life, not alone the nobler forms of the horse and lion, not alone the exqui- site and wonderful mechanism of the human body, but that the human mind itself emotion, intellect, will, and all their phenomena were once latent in a fiery cloud. Surely the mere statement of such a notion is more than a refu- tation. But the hypothesis would probably go even further than this. Many who hold it would probably assent to the position that at the present moment all our philosophy, all our poetry, all our science, and all our art Plato, Shake- speare, Newton, and Raphael are potential in the fires of the sun. We long to learn something of our origin. If the Evolution hypothesis be correct, even this unsatisfied yearning must have come to us across the ages which sepa- rate the unconscious primeval mist from the consciousness of to-day. I do not think that any holder of the Evolution hypothesis would say that I overstate it or overstrain it in any way. I merely strip it of all vagueness, and bring 160 FRAGMENTS OF SCIENCE. before you unclothed and unvarnished the notions by which it must stand or fall. Surely these notions represent an absurdity too mon- strous to be entertained by any sane mind. Let us, how- ever, give them fair play. Let us steady ourselves in front of the hypothesis, and, dismissing all terror and excitement from our minds, let us look firmly into it with the hard sharp eye of intellect alone. Why are these notions absurd, and why should sanity reject them ? The law of Relativity, of which we have previously spoken, may find its application here. These Evolution notions are absurd, monstrous, and fit only for the intellectual gibbet, in relation to the ideas concerning matter which were drilled into us when young. Spirit and matter have ever been presented to us in the rudest contrast, the one as all-noble, the other as all-vile. But is this correct ? Does it represent what our mightiest spiritual teacher would call the Eternal Fact of the Uni- verse ? Upon the answer to this question all depends. Supposing, instead of having the foregoing antithesis of spirit and matter presented to our youthful minds, we had been taught to regard them as equally worthy and equally wonderful ; to consider them in fact as two opposite faces of the self-same mystery. Supposing that in youth we had been impregnated with the notion of the poet Goethe, in- stead of the notion of the poet Young, looking at matter, not as brute matter, but as " the living garment of God ; " do you not think that under these altered circumstances the law of Relativity might have had an outcome different from its present one ? Is it not probable that our repug- nance to the idea of primeval union between spirit and matter might be considerably abated ? Without this total revolution of the notions now prevalent, the Evolution hy- pothesis must stand condemned ; but in many profoundly thoughtful minds such a revolution has already taken place. They degrade neither member of the mysterious duality SCIENTIFIC USE OF THE IMAGINATION. 161 referred to ; but they exalt one of them from its abasement, and repeal the divorce hitherto existing between both. In substance, if not in words, their position as regards the relation of spirit and matter is : " What God hath joined together let not man put asunder." And with regard to the ages of forge tfulness which lie between the unconscious life of the nebula and the conscious life of the earth, it is, they would urge, but an extension of that forgetfulness which preceded the birth of us all. I have thus led you to the outer rim of speculative science, for beyond the nebulas scientific thought has never ventured hitherto, and have tried to state that which I con- sidered ought, in fairness, to be outspoken. I do not think this Evolution hypothesis is to be flouted away contempt- "ously ; I do not think it is to be denounced as wicked. It is to be brought before the bar of disciplined reason, and there justified or condemned. Let us hearken to those who wisely support it, and to those who wisely oppose it ; and let us tolerate those, and they are many, who foolishly try to do either of these things. The only thing out of place in the discussion is dogmatism on either side. Fear not the Evolution hypothesis. Steady yourselves in its presence upon that faith in the ultimate triumph of truth which was expressed by old Gamaliel when he said : " If it be of God, ye cannot overthrow it ; if it be of man, it will come to naught." Under the fierce light of scientific inquiry, this hypothesis is sure to be dissipated if it possess not a core of truth. Trust me, its existence as a hypothesis in the mind is quite compatible with the simultaneous existence of all those virtues to which the term Christian has been applied. It does not solve it does not profess to solve the ultimate mystery of this universe. It leaves in fact that mystery untouched. For granting the nebula and its potential life, the question, whence came they ? would still remain to baffle and bewilder us. At bottom, the hypothe- 162 FRAGMENTS OF SCIENCE. sis does nothing more than " transport the conception of life's origin to an indefinitely distant past." Those who hold the doctrine of Evolution are by no means ignorant of the uncertainty of their data, and they yield no more to it than a provisional assent. They regard the nebular hypothesis as probable, and in the utter absence of any evidence to prove the act illegal, they extend the method of Nature from t the present into the past. Here the observed uniformity of Nature is their only guide. Within the long range of physical inquiry, they have never dis- cerned in Nature the insertion of caprice. Throughout this range the laws of physical and intellectual continuity have run side by side. Having thus determined the ele- ments of their curve in a world of observation and experi- ment, they prolong that curve into an antecedent world, and accept as probable the unbroken sequence of develop- ment from the nebula to the present time. You never hear the really philosophical defenders of the doctrine of Uni- formity speaking of impossibilities in Nature. They never say, what they are constantly charged with saying, that it is impossible for the Builder of the universe to alter His work. Their business is not with the possible, but the actual not with a world which might be, but with a world that is. This they explore with a courage not unmixed with reverence, and according to methods which, like the 'quality of a tree, are tested by their fruits. They have but jine desire to know the truth. They have but one fear lo believe a lie. And if they know the strength of science, and rely upon it with unswerving trust, they also know the limits beyond which science ceases to be strong. They best know that questions offer themselves to thought which science, as now prosecuted, has not even the tendency to solve. They keep such questions open, and will not toler- ate any unnecessary limitation of the horizon of their souls. They have as little fellowship with the atheist who says SCIENTIFIC USE OF THE IMAGINATION. 163 there is no God, as with the theist who professes to know the mind of God. " Two things," said Immanuel Kant, " fill me with awe : the starry heavens and the sense of moral responsibility in man." And in his hours of health and strength and sanity, when the stroke of action has ceased and the pause of reflection has set in, the scientific investigator finds himself overshadowed by the same awe. Breaking contact with the hampering details of earth, it associates him with a power which gives fulness and tone to his existence, but which he can neither analyze nor com- prehend. A TRANSLATION OF GOETHE'S PROEMIUM TO " GOTT UND WELT.' To Him who from eternity, self-stirred, Himself hath made by His creative word ! To Him, Supreme, who causeth faith to be, Trust, hope, love, power, and endless energy ! To Him, who, seek to name Him as we will, UNKNOWN within Himself abideth still ! Strain ear and eye, till sight and sense be dim ; Thou' It find but faint similitudes of Him : Yea, and thy spirit in her flight of flame Still strives to gauge the symbol and the name : Charmed and compelled thou climb'st from height to height, And' round thy path the world shines wondrous bright ; Time, space, and size, and distance cease to be, And every step is fresh infinity. What were the God who sat outside to scan The spheres that 'neath His finger circling ran ? God dwells within, and moves the world and moulds, Himself and Nature in one form enfolds : Thus all that lives in Him, and breathes, and is, Shall ne'er His puissance, ne'er His spirit miss. The soul of man, too, is a universe ; Whence follows it that race with race concurs In framing all it knows of good and true God ? yea, its own God ; and, with homage due, Surrenders to His sway both earth and heaven ; Fears Him, and loves, where place for love is given. J. A. S. Spectator, September 24, 1870. VIII. ON RADIATION. THE "REDE" LECTURE. DELIVERED IN THE SENATE-HOUSE BEFORE THE UNIVERSITY OF CAMBRIDGE. On Tuesday, May 16, 1865. " Forsitan et rosea Sol alte lampade lucens, Possideat multum caecis fervoribus ignem Circum se, qui sit fulgore notatus, -^stifer ut tantum radiorum exaugeat ictum." Lucretius, v. 610. " Perhaps too the sun as he shines aloft with rosy lamp has round about him much fire with heats that are not visible, and thus the fire may be marked by no radiance, so that fraught with heat it increases to such a degree the stroke of the rays." Monro's Translation. My attention was drawn to this remarkable passage by the late ex- cellent and accomplished Sir Edmund Head, Bart. VIII. RADIATION. 1. Visible and Invisible Radiation. BETWEEN the mind of man and the outer world are in- terposed the nerves of the human body, which translate, or enable the mind to translate, the impressions of that world into facts of consciousness and thought. Different nerves are suited to the perception of different impressions. We do not see with the ear, nor hear with the eye, nor are we rendered sensible of sound by the nerves of the tongue. Out of the general assemblage of physical actions, each nerve, or group of nerves, selects and responds to those for the perception of which it is specially organized. The optic nerve passes from the brain to the back of the eyeball and there spreads out, to form the retina, a web of nerve filaments, on which the images of external objects are projected by the optical portion of the eye. This nerve is limited to the apprehension of the phenomena of radia- tion, and, notwithstanding its marvellous sensibility to certain impressions of this class, it is singularly obtuse to other impressions. Nor does the optic nerve embrace the entire range even of radiation. Some rays, when they reach it, are incom- petent to evoke its power, while others never reach it at all, being absorbed by the humors of the eye. To all rays 168 FRAGMENTS OF SCIENCE. which, whether they reach the retina or not, fail to excite vision, we give the name of invisible or obscure rays. All non-luminous bodies emit such rays. There is no body in Nature absolutely cold, and every body not absolutely cold emits rays of heat. But to render radiant heat fit to affect the optic nerve a certain temperature is necessary. A cool poker thrust into a fire remains dark for a time, but when its temperature has become equal to that of the surrounding coals it glows like them. In like manner, if a current of electricity of gradually increasing strength be sent through a wire of the refractory metal platinum, the wire first be- comes sensibly warm to the touch ; for a time its heat aug- ments, still, however, remaining obscure ; at length we can no longer touch the metal with impunity ; and at a certain definite temperature it emits a feeble red light. As the current augments in power the light augments in brilliancy, until finally the wire appears of a dazzling white. The lio-ht which it now emits is similar to that of the sun. O By means of a prism Sir Isaac Newton unravelled the 'texture of solar light, and by the same simple instrument we can investigate the luminous changes of our platinum wire. In passing through the prism all its rays (and they are infinite in variety) are bent or refracted from their straight course ; and as different rays are differently re- fracted by the prism, we are by it enabled to separate one class of rays from another. By such prismatic analysis Dr. Draper has shown that, when the platinum wire first begins to glow, the light emitted is a pure red. As the glow augments the red becomes more brilliant, but at the same time orange rays are added to the emission. Augmenting the temperature still further, yellow rays appear beside the orange, after the yellow green rays are emitted, and after the green come, in succession, blue, indigo and violet rays. To display all these colors at the same time the platinum wire must be white-hot : the impression of whiteness being RADIATION. 169 in fact produced by the simultaneous action of all these colors on the optic nerve. In the experiment just described we began with a plat- inum wire at an ordinary temperature, and gradually raised it to a white heat. At the beginning, and even before the electric current had acted at all upon the wire, it emitted invisible rays. For some time after the action of the current had commenced, and even for a time after the wire had become intolerable to the touch, its radiation was still invisible. The question now arises, what becomes of these invisible rays when the visible ones make their appearance? It will be proved in the sequel that they maintain themselves in the radiation ; that a ray once emitted continues to be emitted when the temperature is increased, and hence the emission from our platinum wire, even when it has attained its maximum brilliancy, consists of a mixture of visible and invisible rays. If, instead of the platinum wire, the earth itself were raised to incandescence, the obscure radiation which it now emits would continue to be emitted. To reach incandescence the planet would have to pass through all the stages of non- luminous radiation, and the final emission would embrace the rays of all these stages. There can hardly be a doubt that from the sun itself, rays proceed similar in kind to those which the dark earth pours nightly into space. In fact, the various kinds of obscure rays emitted by all the planets of our system are included in the present radiation of the sun. The great pioneer in this domain of science was Sir William Herschel. Causing a beam of solar light to pass through a prism he resolved it into its colored constituents ; he formed what is technically called the solar spectrum. Exposing thermometers to the successive colors he deter- mined their heating power, and found it to augment from the violet or most refracted end, to the red or least refracted 8 170 FRAGMENTS OF SCIENCE. end of the spectrum. But he did not stop here. Pushing his thermometers into the dark space beyond the red he found that, though the light had disappeared, the radiant heat falling on the instruments was more intense than that at any visible part of the spectrum. In fact, Sir William Herschel showed, and his results have been verified by vari- ous philosophers since his time, that besides its luminous rays, the sun pours forth a multitude of other rays more powerfully calorific than the luminous ones, but entirely unsuited to the purposes of vision. At the less refrangible end of the solar spectrum, then, the range of the sun's radiation is not limited by that of the eye. The same statement applies to the more refran- gible end. Ritter discovered the extension of the spectrum into the invisible region beyond the violet ; and, in recent times, this ultra-violet emission has had peculiar interest conferred upon it by the admirable researches of Professor Stokes. The complete spectrum of the sun consists, there- fore, of three distinct parts : first, of ultra-red rays of high heating power, but unsuited to the purposes of vision ; secondly, of luminous rays which display the succession of colors, red, orange, yellow, green, blue, indigo, violet; thirdly, of ultra-violet rays which, like the ultra-red ones, are incompetent to excite vision, but which, unlike the ultra-red rays, possess a very feeble heating power. In consequence, however, of their chemical energy these ultra- violet rays are of the utmost importance to the organic world. 2. Origin and Character of Radiation. The Ether. "When we see a platinum wire raised gradually to a white heat, and emitting in succession all the colors of the spectrum, we are simply conscious of a series of changes in the condition of our own eyes. We do not see the actions in which these successive colors originate, but the mind EADIATION. 171 irresistibly infers that the appearance of the colors corre- sponds to certain contemporaneous changes in the wire. What is the nature of these changes ? In virtue of what condition does the wire radiate at all? We must now look from the wire as a whole to its constituent atoms. Could we see those atoms, even before the electric current has begun to act upon them, we should find them in a state of vibration. In this vibration, indeed, consists such warmth as the wire then possesses. Locke enunciated this idea with great precision, and it seems placed beyond the pale of doubt by the excellent quantitative researches of Mr. Joule. "Heat," says Locke, "is a very brisk agitation of the insensible parts of the object, which produce in us that sensation from which we denominate the object hot : so what in our sensation is heat in the object is nothing but motion" When the electric current, still feeble, begins to pass through the wire, its first act is to intensify the vibrations already existing, by causing the atoms to swing through wider ranges. Technically speaking, the ampli- tudes of the oscillations are increased. The current does this, however, without altering the periods of the old vi- brations, or the times in which they were executed. But besides intensifying the old vibrations the current gener- ates new and more rapid ones, and when a certain definite rapidity has been attained the wire begins to glow. The color first exhibited is red, which corresponds to the lowest rate of vibration of which the eye is able to take cognizance. By augmenting the strength of the electric current more rapid vibrations are introduced, and orange rays appear. A quicker rate of vibration produces yellow, a still quicker green ; and by further augmenting the rapidity, we pass through blue, indigo, and violet, to the extreme ultra-violet rays. Such are the changes which science recognizes in the wire itself, as concurrent with the visual changes taking 172 FRAGMENTS OF SCIENCE. place in the eye. But what connects the wire with this organ ? By what means does it send such intelligence of its varying condition to the optic nerve ? Heat being, as defined by Locke, " a very brisk agitation of the insensible parts of an object," it is readily conceivable that on touch- ing a heated body the agitation may communicate itself to the adjacent nerves, and announce itself to them as light or heat. But the optic nerve does not touch the hot plati- num, and hence the pertinence of the question, By what agency are the vibrations of the wire transmitted to the eye? The answer to this question involves, perhaps, the most important physical conception that the mind of man has yet achieved : the conception of a medium filling space and fitted mechanically for the transmission of the vibrations of light and heat, as air is fitted for the transmission of sound. This medium is called the luminiferous ether. Every vibration of every atom of our platinum wire raises in this ether a wave, which speeds through it at the rate of 186,000 miles a second. The ether suffers no rupture of continuity at the surface of the eye, the inter-molecular spaces of the various humors are filled with it ; hence the waves generated by the glowing platinum can cross these humors and impinge on the optic nerve at the back of the eye. Thus the sensation of light reduces itself to the com- munication of motion. Up to this point we deal with pure mechanics ; but the subsequent translation of the shock of the ethereal waves into consciousness eludes the analysis of science. As an oar dipping into the Cam generates systems of waves, which, speeding from the centre of dis- turbance, finally stir the sedges on the river's bank, so do the vibrating atoms generate in the surrounding ether un- dulations, which finally stir the filaments of the retina. The motion thus imparted is transmitted with measurable and not very great velocity to the brain, where, by a pro- RADIATION. 173 cess which science does not even tend to unravel, the tre- mor of the nervous matter is converted into the conscious impression of light. Darkness might then be defined as ether at rest ; light as ether in motion. But in reality the ether is never at rest, for in the absence of light-waves we have heat-waves always speeding through it. In the spaces of the universe both classes of undulations incessantly commingle. Here the waves issuing from uncounted centres cross, coincide, oppose, and pass through each other, without confusion or ultimate extinction. The waves from the zenith do not jostle out of existence those from the horizon, and every star is seen across the entanglement of wave-motions pro- duced by all other stars. It is the ceaseless thrill which those distant orbs collectively create in the ether, which constitutes what we call the temperature of space. As the air of a room accommodates itself to the requirements of an orchestra, transmitting each vibration of every pipe and string, so does the inter-stellar ether accommodate itself to the requirements of light and heat. Its waves mingle in space without disorder, each being endowed with an in- dividuality as indestructible as if it alone had disturbed the universal repose. All vagueness with regard to the use of the terms radia- tion and absorption will now disappear. Radiation is the communication of vibratory motion to the ether, and when a body is said to be chilled by radiation, as for example the grass of a meadow on a starlight night, the meaning is, that the molecules of the grass have lost a portion of their mo- tion, by imparting it to the medium in which they vibrate. On the other hand, the waves of ether once generated may so strike against the molecules of a body exposed to their action as to yield up their motion to the latter ; and in this transfer of the motion from the ether to the molecules con- sists the absorption of radiant heat. All the phenomena 174 FRAGMENTS OF SCIENCE. of heat are in this way reducible to interchanges of motion ; and it is purely as the recipients or the donors of this mo- tion, that we ourselves become conscious of the action of heat and cold. 3. The Atomic Theory in reference to the Ether. The word " atoms " has been more than once employed in this discourse. Chemists have taught us that all matter is reducible to certain elementary forms to which they give this name. These atoms are endowed with powers of mutual attraction, and under suitable circumstances they coalesce to form compounds. Thus oxygen and hydrogen are elements when separate, or merely mixed, but they may be made to combine so as to form molecules, each consisting of two atoms of hydrogen and one of oxygen. In this con- dition they constitute water. So also chlorine and sodium are elements, the former a pungent gas, the latter a soft metal ; and they unite together to form chloride of sodium or common salt. In the same way the element nitrogen combines with hydrogen, in the proportion of one atom of the former to three of the latter, to form ammonia or spirit of hartshorn. Picturing in imagination the atoms of ele- mentary bodies as little spheres, the molecules of compound bodies must be pictured as groups of such spheres. This is the atomic theory as Dalton conceived it. Now, if this theory have any foundation in fact, and if the theory of an ether pervading space and constituting the vehicle of atomic motion be founded in fact, we may assuredly expect the vibrations of elementary bodies to be profoundly modified by the act of combination. It is on the face of it almost certain that both as regards radiation and absorption, that is to say, both as regards the communication of motion to the ether and the acceptance of motion from it, the deport- ment of the uncombined will be different from that of the combined atoms. RADIATION. 175 4. Absorption of Radiant Heat by Gases. We have now to submit these considerations to the only test by which they can be tried, namely, that of ex- periment. An experiment is well defined as a question put to Nature ; but to avoid the risk of asking amiss we ought to purify the question from all adjuncts which do not neces- sarily belong to it. Matter has been shown to be composed of elementary constituents, by the compounding of which all its varieties are produced. But besides the chemical unions which they form, both elementary and compound bodies can unite in another and less intimate way. By the attraction of cohesion gases and vapors aggregate to liquids and solids, without any change of their chemical nature. We do not yet know how the transmission of radiant heat may be affected by the entanglement due to cohesion, and as our object now is to examine the influence of chemical union alone, we shall render our experiments more pure by liberating the atoms and molecules entirely from the bonds of cohesion, and employing them in the gaseous or vapor- ous form. Let us endeavor to obtain a perfectly clear mental image of the problem now before us. Limiting in the first place our inquiries to the phenomena of absorption, we have to picture a succession of waves issuing from a radiant source and passing through a gas ; some of them striking against the gaseous molecules and yielding up their motion to the latter ; others gliding round the molecules or passing through the inter-molecular spaces without apparent hinder- ance. The problem before us is to determine whether such free molecules have any power whatever to stop the waves of heat, and, if so, whether different molecules possess this power in different degrees. The source of waves which I shall choose for these 176 FRAGMENTS OF SCIENCE. experiments is a plate of copper, against the back of which a steady sheet of flame is permitted to play. On emerging from the copper, the waves, in the first instance, pass through a space devoid of air, and then enter a hollow glass cylinder, three feet long and three inches wide. The two ends of this cylinder are stopped by two plates of rock- salt, this being the only solid substance which offers a scarcely sensible obstacle to the passage of the calorific waves. After passing through the tube, the radiant heat falls upon the anterior face of a thermo-electric pile, 1 which instantly applies the heat to the generation of an electric current. This current conducted round a magnetic needle deflects it, and the magnitude of the deflection is a measure of the heat falling upon the pile. This famous instrument, and not an ordinary thermometer, is what we shall use in these inquiries, but we shall use it in a somewhat novel way. As long as the two opposite faces of the thermo- electric pile are kept at the same temperature, no matter how high that may be, there is no current generated. The current is a consequence of the difference of temperature between the two opposite faces of the pile. Hence, if after the anterior face has received the heat from our radiating source, a second source, which we may call the compensat- ing source, be permitted to radiate against the posterior face, this latter radiation will tend to neutralize the former. When the neutralization is perfect, the magnetic needle connected with the pile is no longer deflected, but points to the zero of the graduated circle over which it hangs. And now let us suppose the glass tube, through which pass, the waves from the heated plate of copper, to be ex- hausted by an air-pump, the two sources of heat acting at the same time on the two opposite faces of the pile. Per- fectly equal quantities of heat being imparted to the two 1 In the Appendix to the first chapter of " Heat as a Mode of Motion," the construction of the thermo-electric pile is fully explained. RADIATION. 177 faces, the needle points to zero. Let any gas be now per- mitted to enter the exhausted tube ; if the molecules pos- sess any power of intercepting the calorific waves, the equilibrium previously existing will be destroyed, the com- pensating source will triumph, and a deflection of the mag- netic needle will be the immediate consequence. From the deflections thus produced by different gases, we can readily deduce the relative amounts of wave-motion which their molecules intercept. In this way the substances mentioned in the following table were examined, a small portion only of each being admitted into, the glass tube. The quantity admitted was just sufficient to depress a column of mercury associated with the tube one inch ; in other words, the gases were examined at a pressure of one-thirtieth of an atmosphere. The numbers in the table express the relative amounts of wave-motion absorbed by the respective gases, the quantity intercepted by atmospheric air being taken as unity : Radiation through Gases. Air ...................................... 1 Oxygen .................................. 1 Nitrogen ................................. 1 Hydrogen ................................ 1 Carbonic oxide ........................... 750 Carbonic acid ............................ 972 Hydrochloric acid ......................... 1,005 Nitric oxide .............................. 1,590 Nitrous oxide ............................. 1,860 Sulphide of hydrogen ...................... 2,100 Ammonia .......................... *. ...... 5,460 Olefiant gas .............................. 6,030 Sulphurous acid ........................... 6,480 Every gas in this table is perfectly transparent to light, that is to say, all waves within the limits of the visible 178 FRAGMENTS OF SCIENCE. spectrum pass through it without obstruction ; but for the waves of slower period, emanating from our heated plate of copper, enormous differences of absorptive power are manifested. These differences illustrate in the most unex- pected manner the influence of chemical combination. Thus the elementary gases, oxygen, hydrogen, and nitrogen, and the mixture atmospheric air, prove to be practical vacua to the rays of heat ; for every ray, or, more strictly speaking, for every unit of wave-motion, which any one of them is competent to intercept, perfectly transparent ammonia in- tercepts 5,460 units, defiant gas 6,030 units, while sulphur- ous acid gas absorbs 6,480 units. What becomes of the wave-motion thus intercepted ? It is applied to the heating of the absorbing gas. Through air. oxygen, hydrogen, and nitrogen, on the contrary, the waves of ether pass without absorption, and these gases are not sensibly changed in temperature by the most powerful calorific rays. The po- sition of nitrous oxide in the foregoing table is worthy of particular notice. In this gas we have the same atoms, in a state of chemical union, that exist uncombined in the atmospheric air; but the absorption of the compound is 1,800 times that of air. 5. Formation of Invisible Foci. This extraordinary deportment of the elementary gases naturally directed attention to elementary bodies in another state of aggregation. Some of Melloni's results now at- tained a new significance ; for this celebrated experimenter had found crystals of the element sulphur to be highly per- vious to radiant heat ; he had also proved that lamp-black and black glass (which owes its blackness to the element carbon) were to considerable extent transparent to calorific rays of low refrangibility. These facts, harmonizing so strikingly with the deportment of the simple gases, sug- RADIATION. 179 gested further inquiry. Sulphur dissolved in bisulphate of carbon was found almost perfectly transparent. The dense and deeply-colored element bromine was examined, and found competent to cut off the light of our most brilliant flames, while it transmitted the invisible calorific rays with extreme freedom. Iodine, the companion-element of bro- mine, was next thought of, but it was found impracticable to examine the substance in its usual solid condition. It however dissolves freely in bisulphide of carbon. There is no chemical union between the liquid and the iodine ; it is simply a case of solution, in which the uncombined atoms of the element can act upon the radiant heat. When per- mitted to do so, it was found that a layer of dissolved iodine, sufficiently opaque to cut off the light of the mid- day sun, was almost absolutely transparent to the invisible calorific rays. By prismatic analysis Sir William Herschel separated the luminous from the non-luminous rays of the sun, and he also sought to render the obscure rays visible by con- centration. Intercepting the luminous portion of his spec- trum he brought, by a converging lens, the ultra-red rays to a focus, but by this condensation he obtained no light. The solution of iodine offers a means of filtering the solar beam, or, failing it, the beam of the electric lamp, which renders attainable far more powerful foci of invisible rays than could possibly be obtained by the method of Sir Wil- liam Herschel. For to form his spectrum he was obliged to operate upon solar light which had passed through a narrow slit or through a small aperture, the amount of the obscure heat being limited by this circumstance. But with our opaque solution we may employ the entire surface of the largest lens, and having thus converged the rays, luminous and non-luminous, we can intercept the former by the iodine, and do what w r e please with the latter. Ex- periments of this character, not only with the iodine solu- 180 FRAGMENTS OF SCIENCE. tion, but also with black glass and layers of lamp-black, were publicly performed at the Royal Institution in the early part of 1862, and the effects at the foci of invisible rays then obtained were such as had never been witnessed previously. In the experiments here referred to, glass lenses were employed to concentrate the rays. But glass, though highly transparent to the luminous, is in a high degree opaque to the invisible heat-rays of the electric lamp, and hence a large portion of those rays was intercepted by the glass. The obvious remedy here is to employ rock-salt lenses instead of glass ones, or to abandon the use of lenses wholly, and to concentrate the rays by a metallic mirror. Both of these improvements have been introduced, and, as anticipated, the invisible foci have been thereby rendered more intense. The mode of operating remains, however, the same, in principle, as that made known in 1862. It was then found that an instant's exposure of the face of the thermo-electric pile to the focus of invisible rays, dashed the needles of a coarse galvanometer violently aside. It is now found that on substituting for the face of the thermo- electric pile a combustible body, the invisible rays are competent to set that body on fire. 6. Visible and Invisible J%ays of the Electric Light. We have next to examine what proportion the non luminous rays of the electric light bear to the luminous ones. This the opaque solution of iodine enables us to do with an extremely close approximation to the truth. The pure bisulphide of carbon, which is the solvent of the iodine, is perfectly transparent to the luminous, and almost perfectly transparent to the dark rays of the electric lamp. Through the transparent bisulphide the total radiation of the lamp may be considered to pass, while through the RADIATION. 181 solution of iodine only the dark rays are transmitted. Determining, then, by means of a thermo-electric pile, the total radiation, and deducting from it the purely obscure, we obtain the amount of the purely luminous emission. Experiments, performed in this way, prove that if all the visible rays of the electric light were converged to a focus of dazzling brilliancy, its heat would only be one-ninth of that produced at the unseen focus of the invisible rays. Exposing his thermometers to the successive colors of the solar spectrum, Sir William Herschel determined the heating power of each, and also that of the region beyond the extreme red. Then drawing a straight line to represent the length of the spectrum, he erected, at various points, perpendiculars to represent the calorific intensity existing at those points. Uniting the ends of all his perpendiculars, he obtained a curve which showed at a glance the manner in which the heat was distributed in the solar spectrum. Professor Mliller, of Freiburg, with improved instruments, afterward made similar experiments, and constructed a more accurate diagram of the same kind. We have now to examine the distribution of heat in the spectrum of the electric light ; and for this purpose we shall employ a par- ticular form of the thermo-electric pile, devised by Melloni. Its face is a rectangle, which by means of movable side- pieces can be rendered as narrow as desired. We can, for example, have the face of the pile the tenth, the hundredth, or even the thousandth of an inch in breadth. By means of an endless screw, this linear thermo-electric pile may be moved through the entire spectrum, from the violet to the red, the amount of heat falling upon the pile at every point of its march, being declared by a magnetic needle associated with the pile. When this instrument is brought up to the violet end of the spectrum of the electric light, the heat is found to be insensible. As the pile gradually moves from the violet 182 FRAGMENTS OF SCIENCE. end toward the red, heat soon manifests itself, augmenting as we approach the red. Of all the colors of the visible spectrum the red possesses the highest heating power. On pushing the pile into the dark region beyond the red, the heat, instead of vanishing, rises suddenly and enormously in intensity, until at some distance beyond the red it attains a maximum. Moving the pile still forward, the thermal power falls, somewhat more rapidly than it rose. It then gradually shades away, but for a distance beyond the red greater than the length of the whole visible spec- trum, signs of heat may be detected. Drawing a datum line, and erecting along it perpendiculars, proportional in length to the thermal intensity at the respective points, we obtain the extraordinary curve, shown on the adjacent page, which exhibits the distribution of heat in the spectrum of the electric light. In the region of dark rays, beyond the red, the curve shoots up to B, in a steep and massive peak a kind of Matterhorn of heat, which dwarfs the portion of the diagram C D E, representing the luminous radiation. Indeed, the idea forced upon the mind by this diagram is that the light-rays are a mere insignificant appendage to the heat-rays represented by the area A B C D, thrown in as it were by Nature for the purposes of vision. The diagram drawn by Professor Mliller to represent the distribution of heat in the solar spectrum is not by any means so striking as that just described, and the reason, doubtless, is that prior to reaching the earth the solar rays have to traverse our atmosphere. By the aqueous vapor there diffused, the summit of the peak representing the sun's invisible 'radiation is cut off. A similar lowering of the mountain of invisible heat is observed when the rays from the electric light are permitted to pass through a film of water, which acts upon them as the atmospheric vapor acts upon the rays of the sun. 184 FRAGMENTS OF SCIENCE. 7. Combustion by Invisible Mays. The sun's invisible rays far transcend the visible ones in heating power, so that if the alleged performances of Archimedes during the siege of Syracuse had any founda- tion in fact, the dark solar rays would have been the phi- losopher's chief agents of combustion. On a small scale we can readily produce with the purely invisible rays of the electric light all that Archimedes is said to have per- formed with the sun's total radiation. Placing behind the electric light a small concave mirror, the rays are converged, the cone of reflected rays and their point of convergence being rendered clearly visible by the dust always floating in the air. Placing, between the luminous focus and the source of rays, our solution of iodine, the light of the cone is entirely cut away, but the intolerable heat experienced when the hand is placed, even for a moment, at the dark focus, shows that the calorific rays pass unimpeded through the opaque solution. Almost any thing that ordinary fire can effect may be accomplished at the focus of invisible rays ; the air at the focus remaining at the same time perfectly cold, on ac- count of its transparency to the heat-rays. An air-ther- mometer, with a hollow rock-salt bulb, would be unaffected by the heat of the focus : there would be no expansion, and in the open air there is no convection. The ether at the focus, and not the air, is the substance in which the heat is embodied. A block of wood, placed at the focus, absorbs the heat, and dense volumes of smoke rise swiftly upward, showing the manner in which the air itself would rise, if the invisible rays were competent to heat it. At the perfectly dark focus dry paper is instantly inflamed : chips of wood are speedily burnt up : lead, tin, and zinc, are fused : and disks of charred paper are raised to vivid incandescence. It might be supposed that the obscure rays RADIATION. 185 would show no preference for black over white ; but they do show a preference, and, to obtain rapid combustion, the body, if not already black, ought to be blackened. When metals are to be burned, it is necessary to blacken or otherwise tarnish them, so as to diminish their reflective power. Blackened zinc-foil, when brought into the focus of invisible rays, is instantly caused to blaze, and burns with its peculiar purple flame. Magnesium wire flattened, or tarnished magnesium ribbon, also bursts into splendid combustion. Pieces of charcoal suspended in a receiver full of oxygen are also set on fire : the dark rays after hav- ing passed through the receiver still possessing sufficient power to ignite the charcoal, and thus initiate the attack of the oxygen. If, instead of being plunged in oxygen, the charcoal be suspended in vacuo, it immediately glows at the place where the focus falls. 8. Transmutation of Rays : 1 Calorescence. Eminent experimenters were long occupied in demon- strating the substantial identity of light and radiant heat, and we have now the means of offering a new and striking proof of this identity. A concave mirror produces beyond the object which it reflects an inverted and magnified image of the object ; withdrawing, for example, our iodine solu- tion, an intensely luminous inverted image of the carbon points of the electric light is formed at the focus of the mirror employed in the foregoing experiments. When the solution is interposed, and the light is cut away, what becomes of this image ? It disappears from sight, but an invisible thermograph remains, and it is only the peculiar constitution of our eyes that disqualifies us from seeing the picture formed by the calorific rays. Falling on white paper, the image chars itself out : falling on black 1 I borrow this term from Professor Challis, " Philosophical Maga- zine," vol. xii., p. 521. 186 FRAGMENTS OF SCIENCE. paper, two holes are pierced in it, corresponding to the images of the two coal points : but falling on a thin plate of carbon in vacuo, or upon a thin sheet of platinized plat- inum, either in vacuo or in air, radiant heat is converted into light, and the image stamps itself in vivid incandes- cence upon both the carbon and the metal. Results similar to those obtained with the electric light have also been obtained with the invisible rays of the lime-light and of the sun. Before a Cambridge audience it is hardly necessary to refer to the excellent researches of Professor Stokes at the opposite end of the spectrum. The above results con- stitute a kind of complement to his discoveries. Professor Stokes named the phenomena which he has discovered and investigated Fluorescence for the new phenomena here described I have proposed the term Calorescence. He, by the interposition of a proper medium, so lowered the re- frangibility of the ultra-violet rays of the spectrum as to render them visible ; and here, by the interposition of the platinum-foil, the refrangibility of the ultra-red rays is so exalted as to render them visible. Looking through a prism at the incandescent image of the carbon points, the light of the image is decomposed, and a complete spectrum obtained. The invisible rays of the electric light, remoulded by the atoms of the platinum, shine thus visibly forth ; ultra- red rays being converted into red, orange, yellow, green, blue, indigo, and ultra-violet ones. Could we, moreover, raise the original source of rays to a sufficiently high tem- perature, we might not only obtain from the dark rays of such a source a single incandescent image, but from the dark rays of this image we might obtain a second one, from the dark rays of the second a third, and so on a series of complete images and spectra being thus extracted from the invisible emission of the primitive source. 1 1 On investigating the calorescence produced by rays transmitted through glasses of various colors, it was found that in the case of certain RADIATION. 187 9. Deadness of the Optic Nerve to the Calorific JRays. The layer of iodine used in the foregoing experiments intercepted the light of the noonday sun. No trace of light from the electric lamp was visible in the darkest room, even when a white screen was placed at the focus of the mirror employed to concentrate the light. It was thought, however, that if the retina itself were brought into the focus the sensation of light might be experienced. The danger of this experiment was twofold. If the dark rays were absorbed in a high degree by the humors of the eye, the albumen of the humors might coagulate along the line of the rays. If, on the contrary, no such high ab- sorption took place, the rays might reach the retina with a force sufficient to destroy it. To test the likelihood of these results, experiments were made on water and on a solution of alum, and they showed it to be very improbable that in the brief time requisite for an experiment any serious damage specimens of blue glass, the platinum-foil glowed with a pink or purplish light. The effect was not subjective, and considerations of obvious in- terest are suggested by it. Different kinds of black glass differ notably as to their power of transmitting radiant heat. In thin plates some de- scriptions tint the sun with a greenish hue : others make it appear a glowing red without any trace of green. The latter are far more diather- mic than the former. In fact, carbon when perfectly dissolved, and in- corporated with a good white glass, is highly transparent to the calorific rays, and by employing it as an absorbent, the phenomena of " calores- cence " may be obtained, though in a less striking form than with the iodine. The black glass chosen for thermometers, and intended to ab- sorb completely the solar heat, may entirely fail in this object, if the glass in which the carbon is incorporated be colorless. To render the bulb of a thermometer a perfect absorbent, the glass ought in the first instance to be green. Soon after the discovery of fluorescence the late Dr. William Allen Miller pointed to the lime-light as an illustration of exalted refrangibility. Direct experiments have since entirely confirmed the view expressed at page 210 of his work on " Chemistry," published in 1855. 188 FRAGMENTS OF SCIENCE. could be done. The eye was therefore caused to approach the dark focus, no defence, in the first instance, being pro- vided ; but the heat, acting upon the parts surrounding the pupil, could not be borne. An aperture was, therefore, pierced in a plate of metal, and the eye placed behind the aperture, was caused to approach the point of convergence of invisible rays. The focus was attained, first by the pupil and afterward by the retina. Removing the eye, but permitting the plate of metal to remain, a sheet of platinum- foil was placed in the position occupied by the retina a mo- ment before. The platinum became red hot. No sensible damage was done to the eye by this experiment ; no im- pression of light was produced; the optic nerve was not even conscious of heat. But the humors of the eye are known to be highly im- pervious to the invisible calorific rays, and the question therefore arises, " Did the radiation in the foregoing experi- ment reach the retina at all ? " The answer is, that the rays were in part transmitted to the retina, and in part ab- sorbed by the humors. Experiments on the eye of an ox showed that the proportion of obscure rays which reached the retina amounted to 18 per cent, of the total radiation ; while the luminous emission from the electric light amounts to no more than 10 per cent, of the same total. Were the purely luminous rays of the electric lamp converged by our mirror to a focus, there can be no doubt as to the fate of a retina placed there. Its ruin would be inevitable ; and yet this would be accomplished by an amount of wave-motion but little more than half of that which the retina bears, without exciting consciousness, at the focus of invisible rays. This subject will repay a moment's further attention. At a common distance of a foot the visible radiation of the electric light is 800 times the light of a candle. At the same distance, the portion of the radiation of the electric RADIATION. 189 light which reaches the retina but fails to excite vision, is about 1,500 times the luminous radiation of the candle. 1 But a candle on a clear night can readily be seen at a dis- tance of a mile, its light at this distance being less than one 20,000,000th of its light at the distance of a foot. Hence, to make the candle-light a mile off equal in power to the non-luminous radiation received from the electric light at a foot distance, its intensity would have to be mul- tiplied by 1,500 X 20,000,000, or by thirty thousand mill- ions. Thus the thirty thousand millionth part of the in- visible radiation from the electric light, received by the retina at the distance of a foot, would, if slightly changed in character, be amply sufficient to provoke vision. Nothing could more forcibly illustrate that special relationship sup- posed by Melloni and others to subsist between the optic nerve and the oscillating periods of luminous bodies. The optic nerve responds, as it were, to the waves with which it is in consonance, while it refuses to be excited by others of almost infinitely greater energy, whose periods of recur- rence are not in unison with its own. 10. Persistence of Hays. At an early part of this lecture it was affirmed that when a platinum wire was gradually raised to a state of high incandescence, new rays were constantly added, while the intensity of the old ones was increased. Thus in Dr. Draper's experiments the rise of temperature that generated the orange, yellow, green, and blue rays, aug- mented the intensity of the red ones. What is true of the red is true of every other ray of the spectrum, visible and invisible. We cannot indeed see the augmentation of in- 1 It will be borne in mind that the heat which any ray, luminous or non-luminous, is competent to generate is the true measure of the energy of the ray. 190 ' FRAGMENTS OF SCIENCE. tensity in the region beyond the red, but we can measure it and express it numerically. With this view the following experiment was performed. A spiral of platinum wire was surrounded by a small glass globe to protect it from cur- rents of air ; through an orifice in the globe the rays could pass from the spiral and fall afterward upon a thermo-elec- tric pile. Placing in front of the orifice an opaque solution of iodine, the platinum was gradually raised from a low dark heat to the fullest incandescence, with the following results : Appearance Energy of of spiral. obscure radiation. Dark 1 Dark, but hotter 3 Dark, but still hotter 5 Dark, but still hotter 10 Feeble red 19 Dull red 25 Red 37 Full red 62 Orange 89 Bright orange 144 Yellow 202 White 276 Intense white 440 Thus the augmentation of the electric current, which raises the wire from its primitive dark condition to an in- tense white heat, exalts at the same time the energy of the obscure radiation, until at the end it is fully four hundred and forty times what it was at the beginning. What has been here proved true of the totality of the ultra-red rays is true for each of them singly. Placing our linear thermo-electric pile in any part of the ultra-red spec- trum, it may be proved that a ray once emitted continues to be emitted with increased energy as the temperature is augmented. The platinum spiral so often referred to being RADIATION. 191 raised to whiteness by an electric current, a brilliant spec- trum was formed from its light. A linear thermo-electric pile was placed in the region of obscure rays beyond the red, and by diminishing the current the spiral was reduced to a low temperature. It was then caused to pass through various degrees of darkness and incandescence, with the following results : Appearance Energy of of spiral obscure rays. Dark 1 Dark 6 Faint red 10 Dull red 13 Red 18 Full red ' 27 Orange 60 Yellow 93 White 122 Here, as in the former case, the dark and bright radia- tions reached their maximum together; as the one aug- mented, the other augmented, until at last the energy of the obscure rays of the particular refrangibility here chosen, became one hundred and twenty-two times what it was at first. To reach a white heat the wire has to pass through all the stages of invisible radiation, and in its most brilliant condition it embraces, in an intensified form, the rays of all those stages. And thus it is with all other kinds of matter, as far as they have hitherto been examined. Coke, whether brought to a white heat by the electric current, or by the oxyhydro- gen jet, pours out invisible rays with augmented energy, as its light is increased. The same is true of lime, bricks, and other substances. It is true of all metals which are capable of being heated to incandescence. It also holds good for phosphorus burning in oxygen. Every gush of dazzling light has associated with it a gush of invisible ra- 192 FRAGMENTS OF SCIENCE. diant heat, which far transcends the light in energy. This condition of things applies to all bodies capable of being- raised to a white heat, either in the solid or the molten condition. It would doubtless also apply to the luminous fogs formed by the condensation of incandescent vapors. In such cases when the curve representing the radiant en- ergy of the body is constructed, the obscure radiation tow- ers upward like a mountain, the luminous radiation resem- bling a mere spur at its base. From the very brightness of the light of some of the fixed stars we may infer the intensity of the dark radiation, which is the precursor and inseparable associate of their luminous rays. We thus find the luminous radiation appearing when the radiant body has attained a certain temperature ; or, in other words, when the vibrating atoms of the body have attained a certain width of swing. In solid and molten bodies a certain amplitude cannot be surpassed without the introduction of periods of vibration, which provoke the sense of vision. How are we to figure this ? If per- mitted to speculate, we might ask, Are not these more rapid vibrations the progeny of the slower ? Is it not really the mutual action of the atoms, when they swing through very wide spaces, and thus encroach upon each other, that causes them to tremble in quicker periods ? If so, what- ever be the agency by which the large swinging space is obtained, we shall have light-giving vibrations associated with it. It matters not whether the large amplitudes be produced by the strokes of a hammer, or by the blows of the molecules of a non-luminous gas, such as the air at some height above a gas-flame ; or by the shock of the ether- particles when transmitting radiant heat. The result in all cases will be incandescence. Thus, the invisible waves of our filtered electric beam may be regarded as generating synchronous vibrations among the atoms of the platinum on which they impinge ; but once these vibrations have at- RADIATION. 193 tained a certain amplitude, the mutual jostling of the atoms produces quicker tremors, and the light-giving waves fol- low as the necessary product of the heat-giving ones. 11. Absorption of Radiant Heat l>y Vapors and Odors. We commenced the demonstrations brought forward in this lecture by experiments on permanent gases, and we have now to turn our attention to the vapors of volatile liquids. Here, as in the case .of the gases, vast differences have been proved to exist between various kinds of mole- cules, as regards their power of intercepting the calorific waves. While some vapors allow the waves a compara- tively free passage, the minutest bubble of other vapors, introduced into the tube already employed for gases, causes a deflection of the magnetic needle. Assuming the ab- sorption effected by air at a pressure of one atmosphere to be unity, the followng are the absorptions effected by a se- .ries of vapors at a pressure of one-sixtieth of an atmos- phere : Name of vapor. Absorption. Bisulphide of carbon 47 Iodide of methyl 115 Benzol 136 Amylene 321 Sulphuric ether 440 Formic ether 548 Acetic ether 612 Bisulphide of carbon is the most transparent vapor in this list ; and acetic ether the most opaque ; one-sixtieth of an atmosphere of the former, however, produces forty- seven times the effect of a whole atmosphere of air, while one-sixtieth of an atmosphere of the latter produces six hundred and twelve times the effect of a whole atmos- phere of air. Reducing dry air to the pressure of the acetic 9 194 FRAGMENTS OF SCIENCE. ether here employed, and comparing them then together, the quantity of wave-motion intercepted by the ether would be many thousand times that intercepted by the air. Any one of these vapors discharged into the free atmos- phere, in front of a body emitting obscure rays, intercepts more or less of the radiation. A similar effect is produced by perfumes diffused in the air, though their attenuation is known to be almost infinite. Carrying, for example, a cur- rent of dry air over bibulous paper moistened by patchouli, the scent taken up by the current absorbs 30 times the quantity of heat intercepted by the air which carries it ; and yet patchouli acts more feebly on radiant heat than any other perfume yet examined. Here follow the results obtained with various essential oils, the odor, in each case, being carried by a current of dry air into the tube already employed for gases and vapors : Name of perfume. Absorption. Patchouli 30 Sandal-wood 32 Geranium 33 Oil of cloves 34 Otto of roses 37 Bergamot 44 Neroli 47 Lavender 60 Lemon 65 Portugal 67 Thyme 68 Rosemary 74 Oil of laurel 80 Camomile-flowers 87 Cassia 109 Spikenard 355 Aniseseed 372 Thus the absorption by a tube full of dry air being 1, that of the odor of patchouli diffused in it is 30, that of RADIATION. 195 lavender 60, that of rosemary 74, while that of aniseseed amounts to 372. It would be idle to speculate on the quantities of matter concerned in these actions. 12. Aqueous Vapor in relation to the Terrestrial Temperatures. * We are now fully prepared for a result which, without such preparation, might appear incredible. Water is, to some extent, a volatile body, and our atmosphere, resting as it does upon the surface of the ocean, receives from it a continual supply of aqueous vapor. It would be an error to confound clouds or fog or any visible mist with the va- por of water : this vapor is a perfectly impalpable gas, dif- fused, even on the clearest days, throughout the atmosphere. Compared with the great body of the air, the aqueous vapor it contains is of almost infinitesimal amount, 99J out of every 100 parts of the atmosphere being composed of oxy- gen and nitrogen. In the absence of experiment, we should never think of ascribing to this scant and varying constitu- ent any important influence on terrestrial radiation ; and yet its influence is far more potent than that of the great body of the air. To say that on a day of average humidity in England, the atmospheric vapor exerts 100 times the action of the air itself, would certainly be an understate- ment of the fact. The peculiar qualities of this vapor, and the circumstance that at ordinary temperatures it is very near its point of condensation, render the results which it yields in the apparatus already described, less than the truth ; and I am not prepared to say that the absorption by this substance is not 200 times that of the air in which it is diffused. Comparing a single molecule of aqueous vapor with an atom of either of the main constituents of our at- mosphere, I am not prepared to say how many thousand times the action of the former exceeds that of the latter. 1 See Note at the end of this Lecture. 196 FRAGMENTS OF SCIENCE. But it must be borne in mind that these large numbers depend in part upon the extreme feebleness of the air ; the power of aqueous vapor seems vast, because that of the air with which it is compared is infinitesimal. Absolutely con- sidered, however, this substance, notwithstanding its small specific gravity, exercises a very potent action. Probably from 10 to 15 per cent, of the heat radiated from the earth is absorbed within 10 feet of the earth's surface. This must evidently be of the utmost consequence to the life of the world. Imagine the superficial molecules of the earth trembling with the motion of heat, and imparting it to the surrounding ether ; this motion would be carried rapidly away, and lost forever to our planet, if the waves of ether had nothing but the air to contend with in their outward course. But the aqueous vapor takes up the motion of the ethereal waves, and becomes thereby heated, thus wrapping the earth like a warm garment, and protecting its surface from the deadly chill which it would otherwise sustain. Various philosophers have speculated on the influence of an atmospheric envelope. De Saussure, Fourier, M. Pouil- let and Mr. Hopkins have, one and all, enriched scientific literature with contributions on this subject, but the con- siderations which these eminent men have applied to atmos- pheric air, have, if my experiments be correct, to be trans- ferred to the aqueous vapor. The observations of meteorologists furnish important, though hitherto unconscious evidence of the influence of this agent. Wherever the air is dry we are liable to daily extremes of temperature. By day, in such places, the sun's heat reaches the earth unimpeded, and renders the maxi- mum high ; by night, on the other hand, the earth's heat escapes unhindered into space, and renders the minimum low. Hence the difference between the maximum and min- imum is greatest where the air is driest. In the plains of India, on the heights of the Himalaya, in central Asia, in KADIATION. 197 Australia wherever drought reigns, we have the heat of day forcibly contrasted with the chill of night. In the Sa- hara itself, when the sun's rays cease to impinge on the burning soil, the temperature runs rapidly down to freezing, because there is no vapor overhead to check the calorific drain. And here another instance might be added to the numbers already known, in which Nature tends as it were to check her own excess. By nocturnal refrigeration, the aqueous vapor of the air is condensed to water on the sur- face of the earth, and as only the superficial portions ra- diate, the act of condensation makes water the radiating body. Now experiment proves that to the rays emitted by water, aqueous vapor is especially opaque. Hence the very act of condensation, consequent on terrestrial cooling, be* comes a safeguard to the earth, imparting to its radiation that particular character which renders it most liable to be prevented from escaping into space. It might however be urged that, inasmuch as we derive all our he^t from the sun, the self-same covering which pro- tects the earth from chill must also shut out the solar ra- diation. This is partially true, but only partially ; the sun's rays are different in quality from the earth's rays, and it does not at all follow that the substance which absorbs the one must necessarily absorb the other. Through a layer of water, for example, one-tenth of an inch in thick- ness, the sun's rays are transmitted with comparative free- dom ; but through a layer half this thickness, as Melloni has proved, no single ray from the warmed earth could pass. In like manner, the sun's rays pass with comparative free- dom through the aqueous vapor of the air ; the absorbing power of this substance being mainly exerted upon the heat that endeavors to escape from the earth. In consequence of this differential action upon solar and terrestrial heat, the mean temperature of our planet is higher than is due to its distance from the sun. 198 FRAGMENTS OF SCIENCE. 13. Liquids and their Vapors in relation to Radiant Heat. The deportment here assigned to atmospheric vapor has been established by direct experiments on air taken from the streets and parks of London, from the downs of Epsorn, from the hills and sea-beach of the Isle of Wight, and also by experiments on air in the first instance dried, and after- ward rendered artificially humid by pure distilled water. It has also been established in the following way : Ten volatile liquids were taken at random and the power of these liquids, at a common thickness, to intercept the waves of heat was carefully determined. The vapors of the liquids were next taken, in quantities proportional to the quantities of liquid, and the power of the vapors to intercept the waves of heat was also determined. Commencing with the sub- stance which exerted the least absorptive power, and pro- ceeding upward to the most energetic, the following order of absorption was observed : Liquids. Vapors. Bisulphide of carbon. Bisulphide of carbon. Chloroform. Chloroform. Iodide of methyl. Iodide of methyl. Iodide of ethyl. Iodide of ethyl. Benzol. Benzol. Amylene. Amylene. Sulphuric ether. Sulphuric ether. Acetic ether. Acetic ether. Formic ether. Formic ether. Alcohol. Alcohol. ' Water. We here find the order of absorption in both cases to be the same. We have liberated the molecules from the bonds which trammel them more or less in a liquid condi- tion ; but this change in their state of aggregation does not RADIATION. 199 change their relative powers of absorption. Nothing could more clearly prove that the act of absorption depends upon the individual molecule, which equally asserts its power in the liquid and the gaseous state. We may assuredly con- clude from the above table that the position of a vapor is determined by that of its liquid. Now, at the very foot of the list of liquids stands water, signalizing itself above all others by its enormous power of absorption. And from this fact, even if no direct experiment on the vapor of water had ever been made, we should be entitled to rank that vapor as the most powerful absorber of radiant heat hitherto discovered. It has been proved by experiment that a shell of air two inches in thickness surrounding our planet, and saturated with the vapor of sulphuric ether, would intercept 35 per cent, of the earth's radiation. And though the quantity of aqueous vapor necessary to saturate air is much less than the amount of sulphuric ether vapor which it can sustain, it is still extremely probable that the esti- mate already made of the action of atmospheric vapor within 10 feet of the earth's surface, is altogether under the mark ; and that we are ^indebted to this wonderful sub- stance, to an extent not accurately determined, but certainly far beyond what has hitherto been imagined, for the tem- perature now existing at the surface of the globe. 14. Reciproctiy of Radiation and Absorption. Throughout the reflections which have hitherto occupied us, the image before the mind has been that of a radiant source generating calorific waves, which, on passing among the scattered molecules of a gas or vapor, were intercepted by those molecules in various degrees. In all cases it was the transference of motion from the ether to the compara- tively quiescent molecules of the gas or vapor. We have now to change the form of our conception, and to figure 200 FRAGMENTS OF SCIENCE. these molecules not as absorbers, but as radiators, 'not as the recipients, but as the originators of wave motion. That is to say, we must figure them vibrating and generating in the surrounding ether undulations which speed through it with the velocity of light. Our object now is to inquire whether the act of chemical combination, which proves so potent as regards the phenomena of absorption, does not also manifest its power in the phenomena of radiation. For the examination of this question it is necessary, in the first place, to heat our gases and vapors to the same tempera- ture, and then examine their power of discharging the motion thus imparted to them upon the ether in which they swing. A heated copper ball was placed above a ring gas- burner possessing a great number of small apertures, the burner being connected by a tube with vessels containing the various gases to be examined. By gentle pressure the gases were forced through the orifices of the burner against the copper ball, where each of them, being heated, rose in an ascending column. A thermo-electric pile, entirely screened off from the hot ball, was exposed to the radiation of the warm gas, and the deflection of a magnetic needle connected with the pile declared the energy of the radia- tion. By this mode of experiment it was proved that the self- same molecular arrangement which renders a gas a power- ful absorber, renders it in the same degree a powerful radiator that the atom or molecule which is competent to intercept the calorific waves is in the same degree compe- tent to generate them. Thus, while the atoms of element- ary gases proved themselves unable to emit any sensible amount of radiant heat, the molecules of compound gases were shown to be capable of powerfully disturbing the sur- rounding ether. By special modes of experiment the same was proved to hold good for the vapors of volatile liquids, RADIATION. 201 the radiative power of every vapor being found proportional to its absorptive power. The method of experiment here pursued, though not of the simplest character, is still within your grasp. When air is permitted to rush into an exhausted tube, the tem- perature of the air is raised to a degree equivalent to the vis viva extinguished. 1 Such air is said to be dynamically heated, and if pure, it shows itself incompetent to radiate, even when a rock-salt window is provided for the passage of its rays. But if instead of being empty the tube contain a small quantity of vapor, then the warmed air will com- municate heat by contact to the vapor, which will be thus enabled to radiate. Thus the molecules of the vapor con- vert into the radiant form the heat imparted dynamically to the atoms of the air. By this process, which has been called dynamic radiation, the radiative power of both vapors and gases has been determined, and the reciprocity of their radiation and absorption proved. 2 In the excellent researches of Leslie, De la Provostaye and Desains, and Balfour Stewart, the reciprocity of radia- tion and absorption as regards solid bodies has been vari- ously illustrated ; while the labors, theoretical and experi- mental, of Kirchhoff have given this subject a wonderful expansion, and enriched it by applications of the highest kind. To their results are now to be added the foregoing, whereby gases and vapors which have been hitherto thought inaccessible to experiments of this kind are proved to ex- hibit the duality of radiation and absorption, the influence on both of chemical combination being exhibited in the most decisive and extraordinary way. 1 See page 20 for a definition of vis viva. 2 When heated, air imparts its motion to another gas or vapor; the transference of heat is accompanied by a change of vibrating period. The dynamic radiation of vapors is rendered possible by the transmutation of vibrations. 202 FRAGMENTS OF SCIENCE. 15. Influence of Vibrating Period and Molecular Form. Physical Analysis of the Human Breath. In the foregoing experiments with gases and vapors we have employed throughout invisible rays ; some of these bodies are so impervious that in lengths of a few feet only they intercept every ray as effectually as a layer of pitch would do. The substances, however, which show themselves thus opaque to radiant heat are perfectly transparent to light. Now the T&ys of light differ from those of invisible heat only in point of period, the former failing to affect the retina because their periods of recurrence are too slow. Hence, in some way or other the transparency of our gases and vapors depends upon the periods of the waves which impinge upon them. What is the nature of this depend- ence ? The admirable researches of Kirchhoff help us to an answer. The atoms and molecules of every gas have cer- tain definite rates of oscillation, and those waves of ether are most copiously absorbed whose periods of recurrence synchronize with the periods of the molecules among which they pass. Thus, when we find the invisible rays absorbed and the visible ones transmitted by a layer of gas, we con- clude that the oscillating periods of the gaseous molecules coincide with those of the invisible, and not with those of the visible spectrum. It requires some discipline of the imagination to form a clear picture of this process. Such a picture is, however, possible, and ought to be obtained. When the waves of ether impinge upon molecules whose periods of vibration coincide with the recurrence of the undulations, the timed strokes of the waves, the vibration of the molecules aug- ments, as a heavy pendulum is set in motion by well-timed puffs of breath. Millions of millions of shocks are received every second from the calorific waves, and it is not difficult RADIATION. 203 to see that, as every wave arrives just in time to repeat the action of its predecessor, the molecules must finally be caused to swing through wider spaces than if the arrivals were not so timed. In fact, it is not difficult to see that an assemblage of molecules, operated upon by contending waves, might remain practically quiescent, and this is act- ually the case when the waves of the visible spectrum pass through a transparent gas or vapor. There is here no sen- sible transference of motion from the ether to the molecules ; in other words, there is no sensible absorption of heat. One striking example of the influence of period may here be recorded. Carbonic-acid gas is one of the feeblest of absorbers of the radiant heat emitted by solid sources. It is, for example, to a great extent transparent to the rays emitted by the heated copper-plate already referred to. There are, however, certain rays, comparatively few in num- ber, emitted by the copper, to which the carbonic acid is impervious ; and could, we obtain a source of heat emitting such rays only, we should find carbonic acid more opaque to the radiation from that source than any other gas. Such a source is actually found in the flame of carbonic oxide, where hot carbonic acid constitutes the main radiating body. Of the rays emitted by our heated plate of copper, olefiant gas absorbs ten times the quantity absorbed by carbonic acid. Of the rays emitted by a carbonic-oxide flame, car- bonic acid absorbs twice as much as olefiant gas. This won- derful change in the power of the former as an absorber is simply due to the fact that the periods of the hot and cold carbonic acid are identical, and that the waves from the flame freely transfer their motion to the molecules which synchronize with them. Thus it is that the tenth of an at- mosphere of carbonic acid, enclosed in a tube four feet long, absorbs 60 per cent, of the radiation from a carbonic-oxide flame, while one-thirtieth of an atmosphere absorbs 48 per cent, of the heat from the same origin. 204 FRAGMENTS OF SCIENCE. In fact, the presence of the minutest quantity of car- bonic acid may be detected by its action on the rays from the carbonic-oxide flame. Carrying, for example, the dried human breath into a tube four feet long, the absorption there effected by the carbonic acid of the breath amounts to 50 per cent, of the entire radiation. Radiant heat may indeed be employed as a means of determining practically the amount of carbonic acid expired from the lungs. My late assistant, Mr. Barrett, has made this determination. The absorption produced by the breath freed from its moist- ure, but retaining its carbonic acid, was first determined. Carbonic acid artificially prepared was then mixed with dry air in such proportions that the action of the mixture upon the rays of heat was the same as that of the dried breath. The percentage of the former being known, immediately gave that of the latter. The same breath analyzed chemi- cally by Dr. Frankland, and physically by Mr. Barrett, gave the following results : Percentage of Carbonic Acid in the Human Breath. Chemical analysis. Physical analysis. 4.66 4.56 6.33 5.22 It is thus proved that in the quantity of ethereal motion which it is competent to take up, we have a practical meas- ure of the carbonic acid of the breath, and hence of the combustion going on in the human lungs. Still this question of period, though of the utmost im- portance, is not competent to account for the whole of the observed facts. The ether, as far as we know, accepts vibrations of all periods with the same readiness. To it the oscillations of an atom of oxygen are just as acceptable as those of a molecule of olefiant gas ; that the vibrating oxygen then stands so far below the olefiant gas in radiant RADIATION. 205 power must be referred not to period, but to some other peculiarity of the elementary gas. The atomic group which constitutes the molecule of olefiant gas, produces many thousand times the disturbance caused by the oxygen, be- cause the group is able to lay a vastly more powerful hold upon the ether than the single atoms can, The cavities and indentations of a molecule composed of spherical atoms may be one cause of this augmented hold. Another, and probably very potent one may be, that the ether itself, con- densed and entangled among the constituent atoms of a compound, virtually increases the magnitude of the group, and hence augments the disturbance. But whatever may be the fate of these attempts to visualize the physics of the process, it will still remain true that, to account for the phenomena of radiation and absorption we must take into consideration the shape, size, and complexity of the mole- cules by which the ether is disturbed. 16. Summary and Conclusion. Let us now cast a momentary glance over the ground that we have left behind. The general nature of light and heat was first briefly described : the compounding of matter from elementary atoms and the influence of the act of com- bination on radiation and absorption were considered and experimentally illustrated. Through the transparent ele- mentary gases radiant heat was found to pass as through a vacuum, while many of the compound gases presented almost impassable obstacles to the calorific waves. This deportment of the simple gases directed our attention to other elementary bodies, the examination of which led to the discovery that the element iodine, dissolved in bisul- phide of carbon, possesses the power of detaching, with extraordinary sharpness, the light of the spectrum from its heat, intercepting all luminous rays up to the extreme red, 206 FRAGMENTS OF SCIENCE. and permitting the calorific rays beyond the red to pass freely through it. This substance was then employed to filter the beams of the electric light, and to form foci of . invisible rays so intense as to produce almost all the effects obtainable in an ordinary fire. Combustible bodies were burnt and refractory ones were raised to a white heat by the concentrated invisible rays. Thus, by exalting their re- frangibility, the invisible rays of the electric light were rendered visible, and all the colors of the solar spectrum were extracted from utter darkness. The extreme richness of the electric light in invisible rays of low refrangibility was demonstrated, one-ninth only of its radiation consisting of luminous rays. The deadness of the optic nerve to those invisible rays was proved, and experiments were then added, to show that the bright and the dark rays of a solid body raised gradually to intense incandescence, are strengthened together ; intense dark heat being an inva- riable accompaniment of intense white heat. A sun could not be formed, or a meteorite rendered luminous, on any other condition. The light-giving rays, constituting only a small fraction of the total radiation, their unspeakable im- portance to us is due to the fact that their periods are attuned to the special requirements of the eye. Among the vapors of volatile liquids vast differences were also found to exist, as regards their powers of absorp- tion. We followed various molecules from a state of liquid to a state of gas, and found in both states of aggregation, the power of the individual molecules equally asserted. The position of a vapor as an absorber of radiant heat was shown to be determined by that of the liquid from which it is derived. Reversing our conceptions, and regarding the molecules of gases and vapors not as the recipients, but as the originators of wave-motion; not as absorbers but as radiators ; it was proved that the powers of absorption and radiation went hand in hand, the self-same chemical act RADIATION. 207 which rendered a body competent to intercept the waves of ether, rendering it competent in the same degree to gen- erate them. Perfumes were next subjected to examination, and notwithstanding their extraordinary tenuity, they were found vastly superior, in point of absorptive power, to the body of the air in which they were diffused. We were led thus slowly up to the examination of the most widely diffused and most important of all vapors the aqueous vapor of our atmosphere and we found in it a potent absorber of the purely calorific rays. The power of this substance to influence climate, and its general influence on the temperature of the earth, were then briefly dwelt upon. A cobweb spread above a blossom is sufficient to protect it jrom nightly chill ; and thus the aqueous vapor of our air, attenuated as it is, checks the drain of terrestrial heat, and saves the surface of our planet from the refriger- ation which would assuredly accrue, were no such sub- stance interposed between it and the voids of space. We considered the influence of vibrating period and molecular form on absorption and radiation, and finally deduced, from its action upon radiant heat, the exact amount of carbonic acid expired by the human lungs. Thus in brief outline were placed before you some of the results of recent inquiries in the domain of Radiation, and my aim throughout has been to raise in your minds distinct physical images of the various processes involved in our researches. It is thought by some that natural science has a deadening influence on the imagination, and a doubt might fairly be raised as to the value of any study which would necessarily have this effect. But the experi- ence of the last hour must, I think, have convinced you that the study of natural science goes hand in hand with the culture of the imagination. Throughout the greater part of this discourse we have been sustained by this faculty. We have been picturing atoms, and molecules, 208 FRAGMENTS OF SCIENCE. and vibrations, and waves, which eye has never seen nor ear heard, and which can only be discerned by the exercise of imagination. This, in fact, is the faculty which enables us to transcend the boundaries of sense, and connect the phenomena of our visible world with those of an invisible one. Without imagination we never could have risen to the conceptions which have occupied us here to-day ; and in proportion to your power of exercising this faculty aright, and of associating definite mental images with the terms employed, will be the pleasure and the profit which you will derive from this lecture. The outward facts of Nature are insufficient to satisfy the mind. We cannot be content with knowing that the light and heat of the sun illuminate and warm the world. We are led irresistibly to inquire what is light, and what is heat ? and this question leads us at once out of the region of sense into that of imagination. Thus pondering, and questioning, and striving to sup- plement that which is felt and seen, but which is incom- plete, by something unfelt and unseen which is necessary to its completeness, men of genius have in part discerned, not only the nature of light and heat, but also, through them, the general relationship of natural phenomena. The working power of Nature is the power of actual or poten- tial motion, of which all its phenomena are but special forms. This motion manifests itself in tangible and in in- tangible matter, being incessantly transferred from the one to the other, and incessantly transformed by the change. It is as real in the waves of the ether as in the waves of the sea ; the latter, derived as they are from winds, which in their turn are derived from the sun, being nothing more than the heaped-up motion of the former. It is the calo- rific waves emitted by the sun which heat our air, produce our winds, and hence agitate our ocean. And whether they break in foam upon the shore, or rub silently against the ocean's bed, or subside by the mutual friction of their own RADIATION. 209 parts, the sea-waves, which cannot subside without pro- ducing heat, finally resolve themselves into waves of ether, thus regenerating the motion from which their temporary existence was derived. This connection is typical. Nature is not an aggregate of independent parts, but an organic whole. If you open a piano and sing into it, a certain string will respond. Change the pitch of your voice ; the first string ceases to vibrate, but another replies. Change again the pitch ; the first two strings are silent, while an- other resounds. Now, in altering the pitch you simply change the form of the motion communicated by your vocal chords to the air, one string responding to one form, and another to another. And thus is sentient man acted on by Nature, the optic, the auditory, and other nerves of the human body being so many strings differently tuned and responsive to different forms of the universal power. NOTE. The statements regarding the action of aqueous vapor, made in sections 12 and 13 of this Lecture, have been controverted by the late Professor Magnus, of Berlin. I therefore wish the reader to hold in sus- pension his judgment of these two sections until new light can be thrown upon the subject. This will soon be done. IX. ON RADIANT HEAT IN RELATION TO THE COLOR AND CHEMICAL CONSTITUTION OF BODIES. A DISCOURSE. DELIVEKED IN THE EOYAL INSTITUTION OF GKEAT BKITAIN. January 19, 1866. " I took a number of little square pieces of broadcloth from a tailor's pattern-card, of various colors. They were black, deep blue, lighter blue, green, purple, red, yellow, white, and other colors, or shades of color. I laid them all out upon the snow on a bright, sunshiny morning. In a few hours (I cannot now be exact as to the time), the black, being warmed most by the sun, was sunk so low as to be below the stroke of the sun's rays ; the dark blue almost as low, the lighter blue not quite so much as the dark, the other colors less as they were lighter. The white remained on the surface of the snow, not having entered it at all. " What signifies philosophy that does not apply to some use ? May we not learn from hence that black clothes are not so fit to wear in a hot, sunny climate or season as white ones ; because in such clothes the body is more heated by the sun when we walk abroad, and are at the same time heated by the exercise, which double heat is apt to bring on putrid, dan- gerous fevers ? That soldiers and seamen, who must march and labor in the sun, should, in the East or West Indies, have a uniform of white ? That summer hats for men or women should be white, as repelling that heat which gives headaches to so many, and to some the fatal stroke that the French call coup de soleil ? That the ladies' summer hats, however, should be lined with black, as not reverberating on their faces those rays which are reflected upward from the earth or water ? That the putting of a white cap of paper or linen within the crown of a black hat, as most do, will not keep out the heat, though it would if placed without ? That fruit walls being blacked may receive so much heat from the sun in the daytime as to continue warm in some degree through the night, and thereby preserve the fruit from frosts, or forward its growth with sun- dry other particulars of greater or less importance that will occur from time to time to attentive minds ? " BENJAMIN FRANKLIN, Letter to Miss Mary Stevenson. IX. ON RADIANT HEAT IN RELATION TO THE COLOR AND CHEMICAL CONSTITUTION OF BODIES. ONE of the most important functions of physical sci- ence, considered as a discipline of the mind, is to enable us by means of the tangible processes of Nature to apprehend the intangible. The tangible processes give direction to the line of thought ; but this once given, the length of the line is not limited by the boundaries of the senses. Indeed, the domain of the senses in Nature is almost infinitely small in comparison with the vast region accessible to thought which lies beyond them. From a few observations of a comet, when it comes within the range of his telescope, an astronomer can calculate its path in regions which no tele- scope can reach ; and in like manner, by means of data furnished in the narrow world of the senses, we make our- selves at home in other and wider worlds, which can be traversed by the intellect alone. From the earliest ages the questions, " What is light ? " and " What is heat ? " have occurred to the minds of men ; but these questions never would have been answered had they not been preceded by the question, " What is sound ? " Amid the grosser phenomena of acoustics the mind was first disciplined, conceptions being thus obtained from direct observation, which were afterward applied to phe- nomena of a character far too subtle to be observed directly. Sound we know to be due to vibratory motion. A vibrating 214 FRAGMENTS OF SCIENCE. tuning-fork, for example, moulds the air round it into un- dulations or waves, which speed away on all sides with a certain measured velocity, impinge upon the drum of the ear, shake the auditory nerve, and awake in the brain the sensation of sound. When sufficiently near a sounding body, we can feel the vibrations of the air. A deaf man, for example, plunging his hand into a bell when it is sounded, feels through the common nerves of his body those tremors which, when imparted to the nerves of healthy ears, are translated into sound. There are various ways of ren- dering those sonorous vibrations not only tangible but visible; and it was not until numberless experiments of this kind had been executed, that the scientific investigator abandoned himself wholly, and without a shadow of uncer- tainty, to the conviction that what is sound within us is, outside of us, a motion of the air. But once having established this fact once having proved beyond all doubt that the sensation of sound is produced by an agitation of the nerve of the ear, the thought soon suggested itself that light might be due to an agitation of the nerve of the eye. This was a great step in advance of that ancient notion which regarded light as something emitted by the eye, and not as any thing imparted to it. But if light be produced by" an agitation of the optic nerve or retina, what is it that produces the agitation ? Newton, you know, supposed minute particles to be shot through the humors of the eye against the retina, which hangs like a target at the back of the eye. The impact of these particles against the target, Newton believed to be the cause of light. But Newton's notion has not held its ground, being entirely driven from the field by the more wonderful and far more philosophical notion that light, like sound, is a product of wave-motion. The domain in which this motion of light is carried on lies entirely beyond the reach of our senses. The waves RADIANT HEAT AND ITS RELATIONS. 215 of light require a medium for their formation and propaga- tion, but we cannot see, or feel, or taste, or smell this medium. How, then, has its existence been established ? By showing that by the assumption of this wonderful intangible ether all the phenomena of optics are accounted for with a fulness and clearness and conclusiveness which leave no desire of the intellect unfulfilled. When the law of gravitation first suggested itself to the mind of Newton, what did he do ? He set himself to examine whether it accounted for all the facts. He determined the courses of the planets ; he calculated the rapidity of the moon's fall toward the earth; he considered the precession of the equinoxes, the ebb and flow of the tides, and found all explained by the law of gravitation. He therefore regarded this law as established, and the verdict of science sub- sequently confirmed his conclusion. On similar, and, if possible, on stronger grounds, we found our belief in the existence of the universal ether. It explains facts far more various and complicated than those on which New- ton based his law. If a single phenomenon could be pointed out which the ether is proved incompetent to explain, we should have to give it up ; but no such phe- nomenon has ever been pointed out. It is, therefore, at least as certain that space is filled with a medium by means of which suns and stars diffuse their radiant power, as that it is traversed by that force which holds, not only our planetary system, but the immeasurable heavens them- selves, in its grasp. There is no more wonderful instance than this of the production of a line of thought from the world of the senses into the region of pure imagination. I mean by imagination here, not that play of fancy which can give to " airy nothing a local habitation and a name," but that power which enables the mind to conceive realities which lie beyond the range of the senses to present to itself distinct physical 216 FRAGMENTS OF SCIENCE. images of processes which, though mighty in the aggregate beyond all conception, are so minute individually as to elude all observation. It is the waves of air excited by this tuning-fork which render its vibrations audible. It is the waves of ether sent forth from those lamps overhead which render them luminous to us fout so minute are these waves, that it would take from 30,000 to 60,000 of them placed end to end to cover a single inch. Their number, however, compensates for their minuteness. Trillions of them have entered your eyes and hit the retina at the back of the eye in the time consumed in the utterance of the shortest sentence of this discourse. This is the steadfast result of modern research ; but we never could have reached it without previous discipline. ("We never could have measured the waves of light, nor even imagined them to exist, had we not previously exercised ourselves among the waves of sound. Sound and light are now mutually help- ful, the conceptions of each being expanded, strengthened, and denned, by the conceptions of the other. The ether which conveys the pulses of light and heat not only fills the celestial spaces, bathing the sides of suns and planets, but it also encircles the atoms of which these suns and planets are composed. It is the motion of these atoms, and not that of any sensible parts of bodies, that the ether conveys ; it is this motion that constitutes the objective cause of what in our sensations are light and /neat. An atom, then, sending its pulses through the infi- \y nite ether, resembles a tuning-fork sending its pulses through the air. Let us look for a moment at this thrilling ether, and briefly consider its relation to the bodies whose vibrations it conveys. Different bodies, when heated to the same temperature, possess very different powers of agitat- ing the ether: some are good radiators, others are bad radiators ; which means that some are so constituted as to communicate their motion freely to the ether, producing RADIANT HEAT AND ITS RELATIONS. 217 therein powerful undulations; while others are unable thus to communicate their motion, but glide through the ether without materially disturbing its repose. Recent experiments have proved that elementary bodies, except under certain anomalous conditions, belong to the class of bad radiators. An atom vibrating in the ether resembles this naked tuning-fork vibrating in the air. The amount of motion communicated to the air by these thin prongs is too small to evoke at any distance the sensation of sound. But if we permit the atoms to combine chemically and form molecules, the result in many cases is an enormous change in the power of radiation. The amount of ethereal disturbance produced by the combined atoms of a body may be many thousand times that produced by its constitu- ent atoms when uncombined. The effect is roughly typi- fied by this tuning-fork when connected with its resonant case. The fork and its case now swing as a compound system, and the vibrations which were before inaudible, are now the source of a musical sound so powerful that it might be plainly heard by thousands at once. The fork and its case combined may be roughly regarded as a good radiator of sound. The pitch of a musical note depends upon the rapidity of its vibrations, or, in other words, on the length of its waves. Now, the pitch of a note answers to the color of light. Taking a slice of white light from the beam of an electric lamp, I cause that light to pass through an arrange- ment of prisms. It is decomposed, and we have the effect obtained by Newton, who first unrolled the solar beam into the splendors of the solar spectrum. At one end of this spectrum we have red light, at the other violet, and be- tween those extremes lie the other prismatic colors. As we advance along the spectrum from the red to the violet, the pitch of the light if I may use the expression height- ens, the sensation of violet being produced by a more rapid 10 218 FRAGMENTS OF SCIENCE. succession of impulses than that which produces the im- pression of red. The vibrations of the violet are about twice as rapid as those of the red ; in other words, the range of the visible spectrum is about an octave. There is no solution of continuity in this spectrum ; one color changes into another by insensible gradations. It is as if an infinite number of tuning-forks, of gradually augmenting pitch, were vibrating at the same time. But turning to another spectrum that, namely, obtained from the incandescent vapor of silver you observe that it con- sists of two narrow and intensely luminous green bands. Here it is as if two forks only, of slightly different pitch, were vibrating. The length of the waves which produce this first band is such that 47,460 of them, placed end to end, would fill an inch. The waves which produce the second band are a little shorter ; it would take of these 47,920 to fill an inch. In the case of the first band, the number of impulses imparted in one second to every eye which now sees it, is 577 millions of millions ; while the number of impulses imparted in the same time by the second band is 600 millions of millions. I now cast upon - the screen before you the beautiful stream of green light from which these bands were derived. This luminous stream is the incandescent vapor of silver. The rates of vibration of the atoms of that vapor are as rigidly fixed as those of two tuning-forks; and to whatever height the temperature of the vapor may be raised, the rapidity of its vibrations, and consequently its color, which wholly de- pends upon that rapidity, remains unchanged. The vapor of water, as well as the vapor of silver, has its definite periods of vibration, and these are such as to disqualify the vapor, when acting freely as such, from being raised to a white heat. The oxyhydrogen flame, for example, consists of hot aqueous vapor. It is scarcely visible in the air of this room, and it would be still less RADIANT HEAT AND ITS RELATIONS. 219 visible if we could burn the gas in a clean atmosphere. But the atmosphere, even at the summit of Mont Blanc, is dirty ; in London it is more than dirty ; and the burning dirt gives to this flame the greater portion of its present light. But the heat of the flame is enormous. Cast-iron fuses at a temperature of 2,000 Fahr. A piece of platinum is heated to vivid redness at a distance of two inches be- yond the visible termination of the flame. The vapor which produces incandescence is here absolutely dark. In the flame itself the platinum is raised to dazzling white- ness, and is finally pierced by the flame. "When this flame impinges on a piece of lime, we have the dazzling Drum- mond light. But the light is here due to the fact that when it impinges upon the solid body, the vibrations ex- cited in that body by the flame are of periods different from its own. Thus far we have fixed our attention on atoms and molecules in a state of vibration, and surrounded by a medium which accepts their vibrations, and transmits them through space. But suppose the waves generated by one system of molecules to impinge upon another system, how will the waves be affected ? Will they be stopped, or will they be permitted to pass ? Will they transfer their mo- tion to the molecules on which they impinge, or will they glide round the molecules, through the intermolecular spaces, and thus escape ? The answer to this question depends upon a condition which may be beautifully exemplified by an experiment on sound. These two tuning-forks are tuned absolutely alike. They vibrate with the same rapidity, and mounted thus upon their resonant stands, you hear them loudly sounding the same musical note. I stop one of the forks, and throw the other into strong vibration. I now bring that other near the silent fork, but not into contact with it. Allow- ing them to continue in this position for four or five seconds, 220 FRAGMENTS OF SCIENCE. I stop the vibrating fork ; but the sound has not ceased. The second fork has taken up the vibrations of its neigh- bor, and is now sounding in its turn. I dismount one of the forks, and permit the other to remain upon its stand. I throw the dismounted fork into strong vibration, but you cannot hear it sound. Detached from its stand the amount of motion which it can communicate to the air is too small to make itself sensible to the ear at any distance. I now bring the dismounted fork close to the mounted one, but not into actual contact with it. Out of the silence rises a mellow sound. Whence comes it ? From the vibrations which have been transferred from the dismounted fork to the mounted one. That motion should thus transfer itself through the air it is necessary that the two forks should be in perfect unison. If I place on one of the forks a morsel of wax not larger than a pea, it is rendered thereby powerless to affect, or to be affected by, the other. It is easy to understand this experiment. The pulses of the one fork can affect the other, because they are perfectly timed. A single pulse causes the prong of the silent fork to vibrate through an infinitesi- mal space. But just as it has completed this small vibra- tion, another pulse is ready to strike it. Thus, the small impulses add themselves together. In the five seconds during which the forks were held near each other, the vi- brating fork sent 1,280 waves against its neighbor, and those 1,280 shocks, all delivered at the proper moment, all, as I have said, perfectly timed, have given such strength to the vibrations of the mounted fork as to render them audible to you all. Let me give you one other curious illustration ' of the influence of synchronism on musical vibrations. Here are three small gas-flames inserted in three glass tubes of dif- ferent lengths. Each of these flames can be caused to emit a musical note, the pitch of which is determined by the RADIANT HEAT AND ITS RELATIONS. 221 length of the tube surrounding the flame. The shorter the tube the higher is the pitch. The flames are now silent within their respective tubes, but each of them can be caused to respond to a proper note sounded anywhere in this room. Here is an instrument called a siren, by which a powerful musical note can be produced. Beginning with a note of low pitch, and ascending gradually to a higher one, I finally reach the note of the flame in the longest tube. The moment it is reached, the flame bursts into song. But the other flames are still silent within their tubes. I urge the instrument on to higher notes ; the second flame has now started, and the third alone remains. But a still higher note starts it also. Thus, as the sound of the siren rises gradually in pitch, it awakens every flame in passing, by striking it with a series of waves whose periods of recur- rence are similar to its own. Now the wave-motion from the siren is in part taken up by the flame which synchronizes with the waves ; and had these waves to impinge upon a multitude of flames, instead of upon one flame only, the transference might be so great as to absorb the whole of the original wave-motion. (JLet us apply these facts to radiant heat. This blue flame is the flame of carbonic oxide ; this transparent gas is carbonic- acid gas. In the blue flame we have carbonic acid intensely heated ; or, in other words, in a state of intense vibration. It thus resembles the sounding tuning-fork, while this cold carbonic acid resembles the silent one. What is the con- sequence ? Through the synchronism of the hot and cold gas transmission of motion through the gas is prevented ; it is all transferred. The cold gas is intensely opaque to the radiation from this particular flame, though highly transparent to heat of every other kind. We are here manifestly dealing with that great principle which lies at the basis of spectrum analysis, and which has enabled scientific men to determine the substances of which the sun, 222^ FRAGMENTS OF SCIENCE. the stars, and even the nebulae, are composed : the principle, namely, that a body which is competent to emit any ray, whether of heat or light, is competent in the same degree to absorb that ray. The absorption depends on the syn- chronism which exists between the vibrations of the atoms from which the rays, or more correctly the waves, issue, and those of the atoms against which they impinge. To its incompetence to emit white light, aqueous vapor adds incompetence to absorb white light. It cannot, for example, absorb the luminous rays of the sun, though it can absorb the non-luminous rays of the earth. This in- competence of aqueous vapor to absorb luminous rays is shared by water and ice in fact, by all really transparent substances. Their transparency is due to their inability to absorb luminous rays. The molecules of such substances are in dissonance with the luminous waves, and hence such waves pass through transparent substances without dis- turbing the molecular rest. A purely luminous beam, how- ever intense may be its heat, is sensibly incompetent to melt the smallest particle of ice. We can, for example, converge a powerful luminous beam upon a surface covered with hoar-frost without melting a single spicula of the ice- crystals. How then, it may be asked, are the snows of the Alps swept away by the sunshine of summer ? I answer they are not swept away by sunshine at all, but by solar rays which have no sunshine whatever in them. The lumi- nous rays of the sun fall upon the snow-fields and are flashed in echoes from crystal to crystal, but they find next to no lodgment within the crystals. They are hardly at all ab- sorbed, and hence they cannot produce fusion. But a body of powerful dark rays is emitted by the sun, and it is these rays that cause the glaciers to shrink and the snows to dis- appear ; it is they that fill the banks of the Arve and Ar- veyron, and liberate from their frozen captivity the Rhone and the Rhine. RADIANT HEAT AND ITS RELATIONS. 223 Placing a concave silvered mirror behind the electric light I converge its rays to a focus of dazzling brilliancy. I place in the path of the rays, between the light and the focus, a vessel of water, and now introduce at the focus a piece of ice. The ice is not melted by the concentrated beam which has passed through the water, though matches are ignited at the focus and wood is set on fire. The pow- erful heat, then, of this luminous beam is incompetent to melt the ice. I withdraw the cell of water ; the ice imme- diately liquefies, and you see the water trickling from it in drops. I reintroduce the cell of water; the fusion is arrested and the drops cease to fall. The transparent water of the cell exerts no sensible absorption on the luminous rays, still it withdraws something from the beam, which, when permitted to act, is competent to melt the ice. This something is the dark radiation of the electric light. Again, I place a slab of pure ice in front of the electric lamp ; send a luminous beam first through our cell of water and then through the ice. By means of a lens an image of the slab is cast upon a white screen. The beam, sifted by the water, has no power upon the ice. But observe what occurs when the water is removed ; we have here a star and there a star, each star resembling a flower of six petals, and growing visibly larger before our eyes. As the leaves enlarge their edges become serrated, but there is no deviation from the six-rayed type. We have here, in fact, the crystallization of the ice inverted by the invisible rays of the electric beam. They take the molecules down in this wonderful way, and reveal to us the exquisite atomic structure of the substance with which Nature every winter roofs our ponds and lakes. Numberless effects, apparently anomalous, might be ad- duced in illustration of the action of these lightless rays. Here, for example, are two powders, both white, and undis- tinguishable from each other by the eye. The luminous rays of the lamp are unabsorbed by both powders from 224 FRAGMENTS OF SCIENCE. those rays they acquire no heat ; still one of the substances, sugar, is heated so highly by the concentrated beam of the electric lamp that it first smokes violently and then inflames, while the other substance, salt, is barely warmed at the focus. Here, again, are two perfectly transparent liquids placed in a test-tube at the focus ; one of them boils in a couple of seconds, while the other in a similar position is hardly warmed. The boiling-point of the first liquid is 78 C., which is speedily reached; that of the second liquid is only 48 C., which is never reached at all. These anoma- lies are entirely due to the unseen element which mingles with the luminous rays of the electric beam, and, indeed, constitutes 90 per cent, of its calorific power. I have here a substance by which these dark rays may be detached from the total emission of the electric lamp. This ray-filter is a black liquid that is to say, black as pitch to the luminous, but bright as a diamond to the non- luminous radiation. It mercilessly cuts off the former, but allows the latter free transmission. I bring these invisible rays to a focus at a distance of several feet frcm the electric lamp ; the dark rays form there an invisible image of the source from which they issue. By proper means this in- visible image may be transformed into a visible one of 'daz- zling brightness. I could, moreover, show you, if .time per- mitted, how out of those perfectly dark rays we might ex- tract, by a process of transmutation, all the colors of the solar spectrum. I could also prove to you that those rays, powerful as they are, and sufficient to fuse many metals, may be permitted to enter the eye and to break upon the retina without producing the least luminous impression. The dark rays are now collected before you ; you see nothing at their place of convergence ; with a proper ther- mometer it could be proved that even the air at the focus is just as cold as the surrounding air. And mark the con- clusion to which this leads'. It proves the ether at the focus RADIANT HEAT AND ITS RELATIONS. 225 to be practically detached from the air that the most vio- lent ethereal motion may there exist without the least aerial motion. But though you see it not, there is suffi- cient heat at that focus to set London on fire. The heat there at the present, moment is competent to raise iron to a temperature at which it throws off brilliant scintillations. It can heat platinum to whiteness and almost fuse that re- fractory metal. It actually can fuse gold, silver, copper, and aluminium. The moment, moreover, that wood is placed at the focus it bursts into a blaze. It has been already affirmed that whether as regards ra- diation or absorption the elementary atoms possess but little power. This might be illustrated by a long array of facts ; and one of the most singular of these is furnished by the deportment of that extremely combustible substance, phos- phorus, when placed at this dark focus. It is impossible to ignite there a fragment of amorphous phosphorus. But or- dinary phosphorus is a far quicker combustible, and its de- portment to radiant heat is still more impressive. It may be exposed to the intense radiation of an ordinary fire with- out bursting into flame. It may also be exposed for twenty or thirty seconds at an obscure focus of sufficient power to raise platinum to a white heat, without ignition. Notwith- standing the energy of the ethereal waves here concentrated, notwithstanding the extremely inflammable character of the elementary body exposed to their action, the atoms of that body refuse to partake of the motion of the waves, and consequently cannot be powerfully affected by their heat. The knowledge which we now possess will enable us to analyze with profit a practical question. White dresses are worn in summer because they are found to be cooler than dark ones. The celebrated Benjamin Franklin made the fol- lowing experiment: He placed bits of cloth of various colors upon snow, exposed them to direct sunshine, and found that they sank to different depths in the snow. The black cloth 226 FRAGMENTS OF SCIENCE. sank the deepest, the white did not sink at all. Franklin inferred from his experiment that black bodies are the best absorbers, and white ones the worst absorbers, of radiant heat. Let us test the generality of this conclusion. I have here two cards, one of which is coated with a very dark powder, and the other with a perfectly white one. I place the powdered surfaces before the fire, and leave them there until they have acquired as high a temperature as they can attain in this position. Which of the cards is most highly* heated ? It requires no thermometer to answer this ques- tion ? Simply pressing the back of the card, on w r hich the white powder is strewn, against my cheek or forehead, I find it intolerably hot. Placipg the dark card in the same position I find it cool. The white powder has absorbed far more heat than the dark one. This simple result abolishes a hundred conclusions which have been hastily drawn from the experiment of Franklin. Again, here are suspended two delicate mercurial thermometers at the same distance from a gas-flame. The bulb of one of them is covered by a dark substance, the bulb of the other by a white one. Both bulbs have received the radiation from the flame, but the white bulb has absorbed most, and its mercury stands much higher than that of the other thermometer. I might vary this experiment in a hundred ways, and show you that from the darkness of a body you can draw no certain conclusion regarding its power of absorption. The reason of this simply is, that color gives us intelli- gence of only one portion, and that the smallest one, of the rays impinging on the colored body. Were the rays all luminous we might with certainty infer from the color of a body its power of absorption ; but the great mass of the radiation from our fire, our gas-flame, and even from the sun itself, consists of invisible calorific rays, regarding which color teaches us nothing. A body may be highly trans- parent to one class of rays, and highly opaque to the other RADIANT HEAT AND ITS RELATIONS. 227 ' class. Thus the white powder, which has shown itself so powerful an absorber, has been specially selected on account of its extreme perviousness to the visible rays, and its ex- treme imperviousness to the invisible ones ; while the dark powder was chosen on account of its extreme transparency to the invisible, and its extreme opacity to the visible rays. In the case of the radiation from our fire, about 98 per cent, of the whole emission consists of invisible rays ; the body, therefore, which was most opaque to these triumphed as an absorber, though that body was a white one. ^ I would here invite you to consider the manner in which we obtain from natural facts what may be called their intellectual value. Throughout the processes of Na- ture there is interdependence and harmony, and the main value of our science, considered as a mental discipline, con- / sists in the tracing of this interdependence and the demon- stration of this harmony. The outward and visible phe- nomena are with us the counters of the intellect ; and our science would not be worthy of its name and fame if it halted at facts, however practically useful, and neglected the laws which accompany and rule phenomena. Let us endeavor, then, to extract from the experiment of Franklin its full intellectual value, calling to our aid the knowledge which our predecessors have already stored. Let us im- agine two pieces of cloth of the same texture, the one black and the other white, placed upon sunned snow. Fix- ing our attention on the white piece, let us inquire whether there is any reason to expect that it will sink into the snow at all. There is knowledge at hand which enables us to reply at once in the negative. There is, on the con- trary, reason to expect that after a sufficient exposure the bit of cloth will be found on an eminence instead of in a hollow ; that instead of a depression, we shall have a rela- tive elevation of the bit of cloth. For, as regards the lu- minous rays of the sun, the cloth and the snow are alike 228 FRAGMENTS OF SCIENCE. powerless; the one cannot be warmed, nor the other melted, by such rays. The cloth is white and the snow is white, because then: confusedly mingled particles and fibres are incompetent to absorb luminous rays. Whether, then, the cloth will sink or not depends entirely upon the dark rays of the sun. Now the substance which absorbs the dark rays of the sun with the greatest avidity is ice or snow, which is merely ice in powder. A less amount of heat will be lodged in the cloth than in the surrounding snow. The cloth must, therefore, act as a shield to the snow on which it rests ; and in consequence of the more rapid fusion of the exposed snow, the cloth must in due time be left behind, perched upon an eminence like a gla- cier-table. But though the snow transcends the cloth both as a radiator and absorber, it does not much transcend it. Cloth is very powerful in both these respects. Let us now turn our attention to the piece of black cloth,' the texture and fabric of which I assume to be the r same as that of the white. For our object being to compare the effects of color, we must, in order to study this effect in its purity, preserve all other conditions constant. Let us then suppose the black cloth to be obtained from the dyeing of the white. The cloth itself, without reference to the dye, is nearly as good an absorber of heat as the snow around it. But to the absorption of the dark solar rays by the undyed cloth is now added the absorption of the whole of the luminous rays, and this great additional in- flux of heat is far more than sufficient to turn the balance in favor of the black cloth. The sum of its actions on the dark and luminous rays exceeds the action of the snow on the dark rays alone. Hence the cloth will sink in the snow, and this is the philosophy of Franklin's experi- ment. Throughout this discourse the main stress has been laid RADIANT HEAT AND ITS RELATIONS. 229 on chemical constitution, as influencing most powerfully the phenomena of radiation and absorption. With regard to gases, vapors, and to the liquids from which these va- pors are derived, it has been proved by the most varied and conclusive experiments that the acts of radiation and absorption are molecular that they depend upon chemical and not upon mechanical condition. In attempting to ex- tend this principle to solids I was met by a multitude of facts obtained by celebrated experimenters, which seemed flatly to forbid such extension. Melloni, for example, found the same radiant and absorbent power for chalk and lamp- black. MM. Masson and Courtepee performed a most elaborate series of experiments on chemical precipitates of various kinds, and found that they one and all manifested the same power of radiation. They concluded from their researches, that where bodies are reduced to an extremely fine state of division the influence of this state is so power- ful as entirely to mask and override whatever influence may be due to chemical constitution. But it appears to me that through the whole of these researches a serious oversight has run, the mere mention of which will show you what caution is essential in the operations of experimental philosophy. Let me state wherein I suppose this oversight to consist. I have here a metal cube with two of its sides brightly polished. I fill the cube with boiling water and determine the quan- tity of heat emitted by the two bright surfaces. One of them far transcends the other as a radiator of heat. Both surfaces appear to be metallic ; what, then, is the cause of the observed difference in their radiative power ? Simply this: I have coated, one of the surfaces with transparent gum, through which, of course, is seen the metallic lustre behind. Now this varnish, though so perfectly transparent to luminous rays, is as opaque as pitch or lamp-black to non-luminous ones. It is a powerful emitter of dark rays ; 230 FRAGMENTS OF SCIENCE. it is also a powerful absorber. While, therefore, at the present moment it is copiously pouring forth radiant heat itself, it does not allow a single ray from the metal behind to pass through it. The varnish then, and not the metal, is the real radiator. Now Melloni, and Masson, and Courtepee, experimented thus: they mixed their powders and precipitates with gum-water, and laid them by means of a brush upon the surfaces of a cube like this. True they saw their red pow- ders red, their white ones white, and their black ones black, but they saw these colors through the coat of varnish which encircled every particle of their powders. When, therefore, it was concluded that color had no influence on radiation, no chance had been given to it of asserting its influence ; when it was found that all chemical precipitates radiated alike, it was the radiation from a varnish common to them all which showed the observed constancy. Hun- dreds, perhaps thousands, of experiments on radiant heat have been performed in this way by various inquirers, but I fear the work will have to be done over again. I am not, indeed, acquainted with an instance in which an oversight of so trivial a character has been committed in succession by so many able men, and vitiated so large an amount of otherwise excellent work. Basing our reasonings, then, on demonstrated facts, we arrive at the extremely probable conclusion that the envel- ope of the particles, and not the particles themselves, was the real radiator in the experiments just referred to. To reason thus, and deduce their more or less probable conse- quences from experimental facts, is an incessant exercise of the student of physical science. But having thus fol- lowed for a time the light of reason alone through a series of phenomena, and emerged from them with a purely intel- lectual conclusion, our duty is to bring that conclusion to an experimental test. In this way we fortify our science, KADIANT HEAT AND ITS RELATIONS. 231 sparing no pains, shirking no toil to secure sound materials for the edifice which it is our privilege to raise. For the purpose of testing our conclusion regarding the influence of the gum I take two powders of the same physi- cal appearance ; one of them is a compound of mercury and the other a compound of lead. On two surfaces of this cube are spread these bright-red powders without varnish of any kind. Filling the tube with boiling water, and de- termining the radiation from the two surfaces, one of them is found to emit thirty-nine rays, while the other emits seventy-four. This, surely, is a great difference. Here, however, is a second cube, having two of its surfaces coated with the same powders, the only difference being that now the powders are laid on by means of a transparent gum. Both surfaces are now absolutely alike in radiative power. Both of them emit somewhat more than was emitted by either of the unvarnished powders, simply because the gum employed is a better radiator than either of them. Exclud- ing all varnish, and comparing white with white, I find vast differences ; comparing black with black, I find them also different; and when black and white are compared, in some cases the black radiates far more than the white, while in other cases the white radiates far more than the black. Determining, moreover, the absorptive power of those powders, it is found to go hand-in-hand with their radiative power. The good radiator is a good absorber, and the bad radiator is a bad absorber. From all this it is evi- dent that as regards the radiation and absorption of non- luminous heat, color teaches us nothing ; and that even as regards the radiation of the sun, consisting as it does main- ly of non-luminous rays, conclusions as to the influence of color may be altogether delusive. This is the strict scien- tific upshot of our researches. But it is not the less true that in the case of wearing apparel and this for reasons which I have given in analyzing the experiment of Frank- 232 FRAGMENTS OF SCIENCE. lin black dresses are more potent than white ones as ab- sorbers of solar heat. Thus, in brief outline, I have brought before you a few of the results of recent inquiry. If you ask me what is the use of them, I can hardly answer you, unless you define the term use. If you meant to ask me whether those dark rays which clear away the Alpine snows will ever be ap- plied to the roasting of turkeys or the driving of steam- engines, while affirming their power to do both, I would frankly confess that they are not at present capable of competing profitably with coal in these particulars. Still they may have great uses unknown to me ; and when our coal-fields are exhausted, it is possible that a more ethereal race than ourselves may cook their victuals and perform their work in this transcendental way. But is it necessary that the student of science should have his labors tested by their possible practical applications ? What is the prac- tical value of Homer's Iliad? You smile, and possibly think that Homer's Iliad is good as a means of culture. There's the rub. The people who demand of science prac- tical uses, forget, or do not know, that it also is great as a means of culture ; that the knowledge of this wonderful universe is a thing profitable in itself, and requiring no practical application to justify its pursuit. But while the student of Nature distinctly refuses to have his labors judged by their practical issues, unless the term practical be made to include mental as well as material good, he knows full well that the greatest practical triumphs have been episodes in the search after pure natural truth. The electric telegraph is the standing wonder of this age, and the men whose scientific knowledge and mechanical skill have made the telegraph what it is are deserving of all honor. In fact, they have their reward, both in reputation and in those more substantial benefits which the direct ser- vice of the public always carries in its train. But who, I RADIANT HEAT AND ITS RELATIONS. 233 would ask, put the soul into this telegraphic body ? Who snatched from heaven the fire that flashes along the line ? This, I am bound to say, was done by two men, the one a dweller in Italy, 1 the other a dweller in England, and, there- fore, not a thousand miles distant from the spot where I now stand, 2 who never in their inquiries consciously set a practical object before them whose only stimulus was the fascination which draws the climber to a never-trodden peak, and would have made Csesar quit his victories to seek the sources of the Nile. That the knowledge brought us by those prophets, priests, and kings of science, is what the world calls useful knowledge, the triumphant applica- tion of their discoveries proves. But science has another function to fulfil, in the storing and the training of the hu- man mind ; and I would base my appeal to you on the poor specimen which has been brought before you this evening, whether any system of education at the present day can be deemed even approximately complete in which the knowledge of Nature is neglected or ignored. 1 Volta. 2 Faraday. X. ON CHEMICAL RAYS AND THE STRUCT- URE AND LIGHT OF THE SKY. A DISCOURSE. DELIVERED IN THE ROYAL INSTITUTION OF GREAT BEITAIN. On Friday, January 15, 1869. " This is a very mysterious and a very beautiful phenomenon when observed by the aid of a polariscope, consisting of a tourmaline plate, with a slice of Iceland crystal or nitre, cut at right angles to the optic axis, and applied on the side of the tourmaline farthest from the eye. In a cloudless day, if the sky be explored in all parts by looking through this compound plate, the polarized rings will be seen developed with more or less intensity in every region but that nearest the sun and that most distant from it the maximum of polarization taking place on a zone of the sky 90 from the sun, or in a great circle, having the sun for one of its poles, so that the cause of polarization is evidently a reflection of the sun's light on something. The question is, on what ? Were the angle of maximum polarization 76 we should look to water or ice for the reflect- ing body. But though we were once of this opinion (art. Light, Encycl. Metropol. 1143), careful observation has satisfied us that 90, or there- abouts, is the correct angle, and that therefore, whatever be the body on which the light has been reflected, if polarized by a single reflection, the c polarizing angle ' must be 45, and the index of refraction, which is the tangent of that angle, unity ; in other words, the reflection would require to be made in air upon air ! The only imaginable way in which this could happen would be at the plane of contact of two portions of air differently heated, such as might be supposed to occur at almost every point of the atmosphere in a bright sunny day ; but against this there seems to be an insuperable objection. The polarization is most regular and complete, as we have lately been able to satisfy ourselves under the most favorable possible atmospheric conditions, after sunset, in the bright twilight of a summer night, with the sun some degrees below the horizon, and long after all the tremor and turmoil of the air, due to irregular heating, must have completely subsided. On the other hand, if effected by several suc- cessive reflections, what is to secure a large majority of them being in one plane (in which case only their polarizing effect would accumulate) ; and of those which become ultimately effective, what, is there to deter- mine an ultimate deviation of 90 as that of the maximum ? The more the subject is considered, the more it will be found beset with difficulties ; and its explanation, when arrived at, will probably be found to carry with it that of the blue color of the sky itself." SIR JOHN HERSCHEL. X. ON CHEMICAL BAYS AND THE. STRUCTURE AND LIGHT OF THE SKY. THE first physical investigation of any importance in which, jointly with my friend Professor Knoblauch, I took part, bore the title : " The Magneto-optic Properties of Crystals, and the Relation of Magnetism and Diamagnetism to Molecular Arrangement." 1 This investigation compelled me to reflect upon the structure of crystals, on their optical properties in relation to that structure, and more particu- larly on the striking phenomena exhibited by many of them in the field of a sufficiently powerful magnet. These were evidently due to the manner in which the molecules of the crystals were built together by the force of- crystal- lization ; and it was natural, if not necessary for me, to em- ploy such strength of imagination as I possessed in obtain- ing a mental picture of this molecular architecture. The inquiry gave a tinge and bias to my subsequent scientific thought, rendering, as it did, the conceptions and pursuits of molecular physics pleasant to me. Its influence is to be traced in most of my scientific work. The first lecture, for example, which I ever delivered in this theatre, was " On the Influence of Material Aggregation on the Manifestations of Force ; " by " material aggregation " being meant the way in which, by Nature or by Art, the molecules of mat- 1 Philosophical Magazine, July, 1850. 238 FKAGMENTS OF SCIENCE. ter are arranged together. In 1853 I also published a paper " On Molecular Influences," in which common heat was made the explorer of organic structure. In the " Ba- kerian Lecture," given before the Royal Society in 1855, the same idea and phraseology crop out. The Bakerian Lecture for 1864 bears the title " Contributions to Molec- ular Physics." And all through the investigations which have occupied me during the last ten years, my wish and aim have been to make radiant heat an instrument by which to lay hold of the ultimate particles of matter. The labors now to be considered lie in the same direc- tion. In the researches just referred to, tubes of glass and brass were employed, called, for the sake of distinction, " experimental tubes," in which radiant heat was acted upon by the gases and vapors subjected to examination. Two or three months ago, with a view of seeing what oc- curred within these tubes on the entrance of the gases or vapors, it was found necessary to intensely illuminate their interiors. The source of illumination chosen was the elec- tric light, the beam of which, converged by a suitable lens, was sent along the axis of the tube. The dirt and filth in which we habitually live were strikingly revealed by this method 'of illumination. For, wash the tube as we might with water, alcohol, acid, or alkali, until its appearance in ordinary daylight was that of absolute purity, the delusive character of this appearance was in most cases revealed by the electric beam. In fact, in air so charged with sus- pended matter as that which supplies our lungs in London, it is not possible to be more than approximately clean. Vapors of various kinds were sent into a glass experi- mental tube, a yard in length, and about three inches in diameter. As a general rule, the vapors were perfectly transparent ; the tube, when they were present, appearing as empty as when they were absent. In two or three cases, however, a faint cloudiness showed itself within the tube. CHEMICAL RAYS. 239 This caused me a momentary anxiety, for I did not know how far, in describing my previous experiments, actions might have been ascribed to pure cloudless vapor, which were really due to those newly-observed nebulas. Inter- mittent discomfort, however, is the normal feeling of the investigator ; for it drives him to closer scrutiny, to greater accuracy, and often, as a consequence, to new discovery. It was soon found that the nebulae revealed by the beam were also generated by the beam, and the observation opened a new door into that region inaccessible to sense, which embraces so much of the intellectual life of the phys- ical investigator. "What are those vapors of which we have been speak- ing ? They are aggregates of molecules^ or small masses of matter, and every molecule is itself an aggregate of smaller parts called atoms. A molecule of aqueous vapor, for ex- ample, consists of two atoms of hydrogen and one of oxy- gen. A molecule of ammonia consists of three atoms of hydrogen, and one of nitrogen, and so of other substances. Thus the molecules, themselves inconceivably small, are made up of distinct parts still smaller. When, therefore, a compound vapor is spoken of, the corresponding mental image is an aggregate of molecules separated from each other, though still exceedingly near, each of these being composed of a group of atoms still nearer to each other. So much for the matter which enters into our conception of a vapor. 1 To this must now be added the idea of motion. The molecules have motions of their own as wholes y their constituent atoms have also motions of their own, which are executed independently of those of the molecules ; just 1 Newton seemed to consider that the molecules might be rendered visible by microscopes ; but of the atoms he appears to have entertained a different opinion. He finely remarks : "It seems impossible to see the more secret and noble works of Nature within the corpuscles, by reason of their transparency." (Herschel, On Light, Art. 1145.) 240 FKAGMENTS OF SCIENCE. as the various movements of the earth's surface are exe- cuted independently of the orbital revolution of our planet. The vapor molecules are kept asunder by forces which, virtually or actually, are forces of repulsion. Between these elastic forces and the atmospheric pressure under which the vapor exists, equilibrium is established as soon as the proper distances between the molecules have been assumed. If, after this, the molecules be urged nearer to each 'other by a momentary force, they recoil as soon as the force is expended. If they be separated more widely apart, when the separating force ceases to act they again approach each other. The case is different as regards the constituent atoms. And here let it be remarked, that we are now upon the very outmost verge of molecular physics ; and that I am attempting to familiarize your minds with conceptions which have not yet obtained universal currency even among chemists ; which many chemists, moreover, might deem un- tenable. But, tenable or untenable, it is of the highest sci- entific importance to discuss them. Let us, then, look men- tally at our atoms grouped together to form a molecule. Every atom is held apart from its neighbors by a force of repulsion ; why, then, do not the mutually repellant mem- bers of this group part company ? The molecules separate from each other when the external pressure is lessened or removed, but the atoms do not. The reason of this stabil- ity is that two forces, the one attractive and the other re- pulsive, are in operation between every two atoms ; and the position of every atom its distance from its fellows is determined by the equilibration of these two forces. If the atoms come too near, repulsion predominates and drives them apart; if too distant, attraction predominates and draws them together. The point at which attraction and repulsion are equal to each other is the atom's position of equilibrium. If not absolutely cold and there is no such CHEMICAL RAYS. 241 thing as absolute coldness in our corner of Nature the atoms are always in a state of vibration, their vibrations being executed to and fro across their positions of equilib- rium. Into a vapor thus constituted, we have now to pour a beam of light ; which most of you know to be a train of minute waves, excited in, and propagated through, an al- most infinitely attenuated and elastic medium, which fills all space, and which we name the ether. It is hardly neces- sary to remind you that these waves of light are not all of the same size ; that some of them are much longer and higher than others ; that the short waves and the long ones move with the same rapidity through space, just as short and long waves of sound travel with the same rapidity through air, and that, therefore, the shorter waves must fol- low each other in quicker succession than the longer ones ; that the different rapidities with which the waves of light impinge upon the retina, or optic nerve, give rise in con- sciousness to differences of color / that there are, moreover, numberless waves emitted by the sun and other luminous bodies which reach the retina, but which are incompetent to excite the sensation of light ; for, if the lengths of the waves exceed a certain limit, or if they fall short of a cer- tain other limit, they cannot generate vision. And it is to be particularly borne in mind, that the capacity to excite vision does not depend so much on the strength of the waves as on their periods of recurrence. I have, as many of you know, permitted waves to enter my own eye, which, if their energy were that of light, would have instantly and utterly ruined the optic nerve, but which failed to produce any impression whatever upon consciousness, because their periods were not those competent to excite the retina. The elements of all the conceptions with which we shall have subsequently to deal are now in your possession. And you will observe that, though we are speaking of things 11 242 FRAGMENTS OF SCIENCE. which lie entirely beyond the range of the senses, the con- ceptions are as truly mechanical as they would be if w^e were dealing with ordinary masses of matter, and with w r aves of sensible magnitude. No really scientific mind at the present day will be disposed to draw a substantial dis- tinction between chemical and mechanical phenomena. They differ from each other as regards the magnitude of the masses involved ; but in this sense the phenomena of astronomy differ, also, from those of ordinary mechanics. The main bent of the natural philosophy of a future age will probably be to chasten into order, by subjecting it to mechanical laws, the existing chaos of chemical phe- nomena. Whether we see rightly or wrongly whether our in- tellection be real or imaginary it is of the utmost im- portance in science to aim at perfect clearness in the de- scription of all that comes, or seems to come, within the range of the intellect. For, if we are right, clearness of utterance forwards the cause of right ; while, if we are wrong, it insures the speedy correction of error. In this spirit, and with the determination at all events to speak plainly, let us deal with our conceptions of ether-waves and molecules. Supposing a wave, or a train of waves, to im- pinge upon a molecule so as to urge all its parts with the same motion, the molecule would move bodily as a whole, but because they are animated by a common motion there would be no tendency of its constituent atoms to separate from each other. Differential motions among the atoms themselves would be necessary to effect a separation, and if such motions be not introduced by the shock of the waves, there is no mechanical ground for the decomposition of the molecule. Thus the conception of the decomposition of compound molecules by the waves of ether comes to us recommended by a priori probability. But a closer examination of the CHEMICAL RAYS. 243 question compels us to supplement, if not materially to qualify, this conception. It is a most remarkable fact that the waves which have thus far been found most effectual in shaking- asunder the atoms of compound molecules are those of least mechanical power. Billows, to use a strong comparison, are incompetent to produce effects which are readily produced by ripples. It is, for example, the violet and ultra-violet rays of the sun that are most effectual in producing these chemical decompositions ; and, compared with the red and ultra-red solar rays, the energy of these " chemical rays " is infinitesimal. This energy would probably in some cases have to be multiplied by millions to bring it up to that of the ultra-red rays : and still the latter are powerless where the smaller waves are potent. We here observe a remarkable similarity between the be- havior of chemical molecules and that of the human retina. The energy transmitted to the eye from a candle-flame half a mile distant is more than sufficient to inform conscious- ness ; while waves of a different period, possessing twenty thousand million times this energy, have been suffered to impinge upon my own retina, with an absolute unconscious- ness of any effect whatever mechanical, physiological, chemical, or thermal. If, then, the power of these smaller waves to unlock the bonds of chemical union be not a result of their strength, it must be, as in the case of vision, a result of their periods of recurrence. But how are we to figure this action ? The shock of a single wave produces no more than an infini- tesimal effect upon an atom or a molecule. To produce a larger effect, the motion must accumulate, and for wave- impulses to accumulate, they must arrive in periods iden- tical with the periods of vibration of the atoms on which they impinge. In this case each successive wave finds the atom in a position which enables that wave to add its shock to the sum of the shocks of its predecessors. The effect is 244 FRAGMENTS OF SCIENCE. mechanically the same as that due to the timed impulses of a boy upon a swing. The single tick of a clock has no appreciable effect upon the unvibrating and equally long pendulum of a distant clock ; but a succession of ticks, each of which adds, at the proper moment, its infinitesimal push to the sum of the pushes preceding it, will, as a matter of fact, set the second clock going. So likewise a single puff of air against the prong of a heavy tuning-fork produces no sensible motion, and, consequently, no audible sound ; but a succession of puffs, which follow each other in periods identical with the tuning-fork's period of vibration, will render the fork sonorous. I think the chemical action of light is to be regarded in this way. Fact and reason point to the conclusion that it is the heaping up of motion on the atoms, in consequence of their synchronism with the shorter waves, that causes them to part company. This I take to be the mechanical cause of these decompositions which are effected by the waves of ether. And now let us return to that faint cloudiness already mentioned, from which, as from a germ, these considerations and speculations have sprung. It has been long known that light effected the decomposition of a certain number of bodies. The transparent iodide of ethyl, or of methyl, for example, becomes brown and opaque on exposure to light, through the discharge of its iodine. The art of photography is founded on the chemical actions of light ; so that it is well known that the effects for which the foregoing theoretic considerations would have prepared us, are not only proba- ble, but actual. But the method employed in the experiments in which the cloudiness above referred to was observed, and which consists simply in offering the vapors of volatile substances to the action of light, enables us not only to give such ex- periments a beautfiul form, but also to give a great exten- sion to the operations of light, or rather of radiant force, as CHEMICAL RAYS. 245 a chemical agent. It also enables us to illustrate in our laboratories actions which have been hitherto performed only in the laboratory of Nature. A few of these actions of a representative character will now be brought before you; and advantage will be taken of the fact that, in a great number of cases, one or more of the substances into which the waves of light break up , compound molecules are compar- atively involatile. The products of decomposition require a greater heat than is required by the va- pors from which they are derived to keep them in the gaseous form ; and hence, if the space in which these new bodies are liberated be of the "proper temperature, they will not remain in the vaporous condition, but will precipitate themselves as liquid particles, thus forming visible clouds upon the beam, to the action of which they owe their existence. The little flask, F, in the an- nexed figure, is stopped by a cork, pierced in two places. Through one orifice passes a narrow glass tube, #, which terminates imme- diately under the cork; through the other orifice passes a similar tube, #, descending to the bottom of the little flask, which is filled to a height of about an inch with a transparent liquid. The name of this liquid is nitrite of amyl, in every molecule of which we have 5 atoms of carbon, 11 of hydro- gen, 1 of nitrogen, and 2 of oxygen. Upon this group the waves of our electric light will be immediately let loose. 246 FRAGMENTS OF SCIENCE. The large horizontal tube that you see before you is called an " experimental tube ; " it is connected with our small flask ; between them, however, a stop-cock intervenes, by means of which the passage between the flask and the ex- perimental tube can be opened or closed at pleasure. The other tube, passing through the cork of the flask and de- scending into the liquid, is connected with a U-shaped ves- sel, filled with fragments of clean glass, covered with sul- phuric acid. In front of the U-shaped vessel is a narrow tube stuffed with cotton-wool. At one end of the experi- mental tube is our electric lamp ; and here, finally, is an air- pump, by means of which the tube has been exhausted. We are now ready for experiment. Opening the cock cautiously, the air of the room passes, in the first place, through the cotton-wool, which holds back the numberless organic germs and inorgani6 dust- particles floating in the atmosphere. The air, thus cleansed, passes into the U-shaped vessel, where it is dried by the sulphuric acid. It then descends through the narrow tube to the bottom of the little flask, and escapes there through a small orifice into the liquid. Through this it bubbles, loading itself to some extent with the nitrite-of-amyl vapor, and then the air and vapor enter the experimental tube together. The closest scrutiny would now fail to discover any thing within this tube ; it is, to all appearance, absolutely empty. The air and the vapor are both invisible. We will permit the electric beam to play upon this mixture. The lens of the lamp is so situated as to render the beam slightly convergent, the focus being formed in the vapor at about the middle of the tube. You will notice that the tube remains dark for a moment after the turning on of the beam ; but the chemical action will be so rapid that atten- tion is requisite to mark this interval of darkness. I ignite the lamp ; the tube for a moment seems empty ; but sud- CHEMICAL RAYS. 247 denly the beam darts through a luminous white cloud, which has banished the preceding darkness. It has, in fact, shaken asunder the molecules of the nitrite of amyl, and brought down upon itself a shower of liquid particles which causes it to flash forth in your presence like a solid luminous spear. It is worth while to mark how this experiment illustrates the fact that, however intense a luminous beam may be, it remains invisible unless it has something to shine upon. Space, though traversed by the rays from all suns and all stars, is itself unseen. Not even the ether which fills space, and whose motions are the light of the universe, is itself visible. You notice that the end of the experimental tube most distant from the lamp is free from cloud. Now the nitrite- of-amyl vapor is there also, but it is unaffected by the powerful beam passing through it. Let us make the trans- mitted beam more concentrated by receiving it on a con- cave silver mirror, and causing it to return by reflection into the tube. It is still powerless. Though a cone of light of extraordinary intensity now traverses the vapor, no pre- cipitation occurs, no trace of cloud is formed. Why ? Be- cause the very small portion of the beam competent to de- compose the vapor is quite exhausted by its work in the frontal portions of the tube. The great body of the light which remains, after this sifting out of the few effectual rays, has no power over the molecules of nitrite of amyl. We have here, strikingly illustrated, what has been already stated regarding the influence of period, as contrasted with that of strength. For the portion of the beam which is here ineffectual has probably more than a million times the ab- solute energy of the effectual portion. It is energy specially related to the atoms that we here need, which specially re- lated energy being possessed by the feeble waves, invests them with their extraordinary power. When the experi- mental tube is reversed so as to bring the undecomposed 248 FRAGMENTS OF SCIENCE. vapors under the action of the unsifted beam, you have in- stantly this fine luminous cloud precipitated. The light of the sun also effects the decomposition of the uitrite-of-amyl vapor. A small room in the Royal Institution, into which the sun shone, was partially dark- ened, the light being permitted to enter through an open portion of the window-shutter. In the track of the beam was placed a large plano-convex lens, which formed a fine convergent cone in the dust of the room behind it. The experimental tube was filled in the laboratory, covered with a black cloth, and carried into the partially-dark- ened room. On thrusting one end of the tube into the cone of rays behind the lens, precipitation within the cone was copious and immediate. The vapor at the distant end of the tube was shielded by that in front ; but on revers- ing the tube, a second and similar splendid cone was pre- cipitated. Now let us pause for a moment and glance at the ground over which we have passed. We have defined a vapor as an aggregate of. molecules mutually repellent, but hindered from indefinitely retreating from each other by an external pressure. We have defined a molecule as an aggregate of atoms maintained in positions of equi- librium by the equalized action of two opposing forces, and always oscillating to and fro across those positions. We have defined a beam of light as a train of innumerable waves, and have illustrated then* chemical action. We have learned that it is not the magnitude or power of the waves, so much as their periods of recurrence, that renders them effectual as chemical agents. We have also seen how the luminous beam is sifted by the vapor which it decomposes, and deprived of those rays which are com- petent to effect the decomposition. The effects, moreover, obtained with the electric beam are also produced by the beams of the sun. CHEMICAL RAYS. 249 And here I would ask you to make familiar to your minds the idea that no chemical action can be produced by a ray that does not involve the destruction of the ray. But the term " ray " is unsatisfactory to us at present, when our desire is to abolish all vagueness, and to affix a definite physical significance to each of our terms. Abandoning the term ray as loose and indefinite, we have to fix our thoughts upon the waves of light ; and to render clear to our minds that those waves which produce chemical action do so by delivering up their own motion to the molecules which they decompose. We have here forestalled to some extent a question of great importance in molecular physics, which, however, is worthy of being fixed more definitely in your mind ; it is this : When the waves of ether are in- tercepted by a compound vapor, is the motion of the waves transferred to the molecules of the vapor, or to the atoms of the molecules ? We have thus far leaned to the con- clusion that the motion is communicated to the atoms ; for if not to these individually, why should they be shaken asunder ? The question, however, is capable of, and is worthy of, another test, the bearing and significance of which you will immediately appreciate. As already explained, the molecules are held in their positions of equilibrium by their mutual repulsion on the one side, and by an external pressure on the other. Their rate of vibration, if they vibrate at all, must depend upon the elastic force which they mutually exert. If this force be changed, the rate of vibration must change along with it; and after the change the molecules could no longer absorb the waves which they absorbed prior to the change. Now, the elastic force between molecule and molecule is utterly altered when a vapor passes to the liquid state. Hence, if the liquid absorbs waves of the same period as its vapor, it is a proof that the absorption is not effected by the molecules. Let us be perfectly clear on this important 250 FRAGMENTS OF SCIENCE. point. Those waves are absorbed whose vibrations syn- chronize with those of the molecules or atoms on which they impinge ; a principle which is sometimes expressed by saying that bodies radiate and absorb the same rays. This great law, as you know, is the foundation of spectrum- analysis ; it enabled Kirchhoff to explain the lines of Frauen- hofer, and to determine the chemical composition of the atmosphere of the sun. If, then, after such a change as that involved in the passage of a vapor to the liquid state, the same waves are absorbed as were absorbed prior to the passage, it is a proof that the molecules, which must have utterly changed their periods, cannot be the seat of the ab- sorption ; and we are driven to conclude that it is to the atoms, whose rates of vibration are unchanged by the change of aggregation, that the wave-motion is transferred. If experiment should prove this identity of action on the part of a vapor and its liquid, it would establish in a new and striking manner the conclusion to which we have pre- viously leaned. We will now resort to the experimental test. In front of this experimental tube, which contains a quantity of the nitrite-of-amyl vapor, is placed a glass cell a quarter of an inch in thickness, filled with the liquid nitrite of amyl. I send the electric beam first through the liquid and then through its vapor. The luminous power of this beam is very great, but it can make no impression upon the vapor. The liquid has robbed it completely of its effective waves. When the liquid is removed chemical action immediately commences, and in a moment we have the apparently empty tube filled with this bright cloud, precipitated by one portion of the beam, and illuminated by another. Thus we uncover to some extent the secrets of this world of molecules and atoms. Instead of employing air as the vehicle by which the vapor is carried into the experimental tube, we may em- CHEMICAL RAYS. 251 ploy oxygen, hydrogen, or nitrogen. With hydrogen curi- ous effects are observed, due to the sinking of the clouds through the extremely light gas in which they float. They illustrate, but do not prove, the untenable notion of those who say that the clouds of our own atmosphere could not float if the cloud-particles were not little bladders instead of full spheres. Before you is a tube filled with the nitrite- of-amyl vapor, which has been carried into the tube by hydrogen gas. On sending the beam through the tube a delicate bluish-white cloud is precipitated. A few strokes of the pump clear the tube of this cloud, but leave a resi- due of vapor behind. Again, turning on the beam we have a second cloud, more delicate than the first. This may be done half a dozen times in succession. A residue of vapor will still linger in the tube sufficient to yield a cloud of ex- quisite delicacy, both as regards color and texture. Besides the nitrite of amyl, a great number of other substances might be employed, which, like the nitrite, have been hitherto not known to be chemically susceptible to light. This is, in fact, a representative case. One point in addition I wish to illustrate, chiefly because the effect is the same in kind as one of great importance in nature. Our atmosphere contains carbonic-acid gas, which furnishes food to the vegetable world. But this food, as many of you know, could not be consumed by plants and vegetables without the intervention of the sun's rays. As far as we know, however, these rays are powerless upon the free car- bonic acid of our atmosphere ; the sun can only decompose the gas when it is absorbed by the leaves of plants. In the leaves the carbonic acid is in close proximity with sub- stances ready to take advantage of the loosening of the molecules by the waves of light. Incipient disunion being introduced by the solar rays, the carbon of the gas is seized upon by the leaf and appropriated, while the oxygen is dis- charged into the atmosphere. 252 FRAGMENTS OF SCIENCE. The experimental tube now before you contains a quantity of a different vapor from that which we have hitherto employed. The liquid from which this vapor is derived is called the nitrite of butyl. On sending the elec- tric beam through the vapor, which has been carried in by air, the chemical action is insensible. I add to the vapor a quantity of air which has been permitted to bubble through hydrochloric acid. When the beam is now turned on, so rapid is the action and so dense the clouds precipitated, that you could hardly, by an effort of attention, observe the dark interval which preceded the precipitation of the cloud. This enormous augmentation of the action is due to the presence of the hydrochloric acid. Like the chlorophyl in the leaves of plants, it takes advantage of the loosening of the molecules of nitrite of butyl by the waves of the electric light. In these experiments we have employed a luminous beam for two different purposes. A small portion of it has been devoted to the decomposition of our vapors, while the great body of the light has served to render luminous the clouds resulting from the decomposition. It is possible to impart to these clouds any required degree of tenuity, for it is in our power to limit at pleasure the amount of vapor in our experimental tube. When the quantity is duly limited, the precipitated particles are at first inconceivably small, defying the highest microscopic power to bring them within the range of vision. Probably their, diameters might then be expressed in millionths of an inch. They grow gradually, and as they augment in size they scatter a con- tinually increasing quantity of wave-motion, until finally the cloud which they form becomes so luminous as to fill this theatre with light. During the growth of the particles the most splendid iridescences are often exhibited. Such I have sometimes seen with delight and wonder in the atmosphere of the Alps, but never any thing so gorgeous STRUCTURE AND LIGHT OF THE SKY. 253 as those which our laboratory experiments reveal. It is not, however, with the iridescences, however beautiful they may be, that we have now to occupy our thoughts, but with other effects which bear upon the two great standing enigmas of meteorology the color of the sky and the polar- ization of its light. It is possible, as stated, by duly regulating the quantity of vapor, to make our precipitated particles grow from an infinitesimal and altogether ultra-microscopic size to masses of sensible magnitude ; and by means of these particles, in a certain stage of their growth, we can produce a blue which shall rival, if it does not transcend, that of the deepest and purest Italian sky. Let this point be in the first place established. Associated with our experimental tube is a barometer, the mercurial column of which now indicates that the tube is exhausted. Into the tube is introduced a quantity of the mixed air and nitrite-of-butyl vapor sufficient to depress the mercurial column one-twentieth of an inch ; that is to say, the air and vapor together exert a pressure of one six-hundredth of an atmosphere. I now add a quan- tity of air and hydrochloric acid sufficient to depress the mercury half an inch farther, and into this compound and highly-attenuated atmosphere I discharge the beam of the electric light. The effect is slow ; but gradually within the tube arises this splendid azure, which strengthens for a time, reaches a maximum of depth and purity, and then, as the particles grow larger, passes into whitish blue. This. ex- periment is representative, and it illustrates a general principle. Various other colorless substances of the most diverse properties, optical and chemical, might be employed for this experiment. The incipient cloud in every case would exhibit this superb blue ; thus proving to demonstra- tion that particles of infinitesimal size, without any color of their own, and irrespective of those optical properties ex- hibited by the substance in a massive state, are competent to produce the color of the sky. 254 FRAGMENTS OF SCIENCE. But there is another subject connected with our firma- ment, of a more subtle and recondite character than even its color. I mean that " mysterious and beautiful phenom- enon," ' the polarization of the light of the sky. The po- larity of a magnet consists in its two-endedness, both ends, or poles, acting in opposite ways. Polar forces, as most of you know, are those in which the duality of attraction and repulsion is manifested. And a kind of two-sidedness noticed by Huyghens, commented on by Newton, and dis- covered by a French philosopher, named Malus, in a beam of light which had been reflected from one of the windows of the Luxembourg Palace in Paris receives the name of polarization. "We must now, however, attach a distinct- ness to the idea of a polarized beam, which its discoverers were not able to attach to it. For in their day men's thoughts were not sufficiently ripe, nor optical theory suffi- ciently advanced, to seize upon or express the physical meaning of polarization. When a gun is fired, the explo- sion is propagated as a wave through the air. The shells of air, if I may use the term, surrounding the centre of con- cussion, are successively thrown into motion, each shell yielding up its motion to that in advance of it, and return- ing to its position of equilibrium. Thus, while the wave travels through long distances, each individual particle of air concerned in its transmission performs merely a small excursion to and fro. 2 In the case of sound, the vibrations of the air-particles are executed in the direction in which the sound travels. They are, therefore, called longitudinal vibrations. In the case of light, on the contrary, the vibra- tions are transversal; that is to say, the individual particles of ether move to and fro across the direction in which the light is propagated. In this respect waves of light resem- ble ordinary water-waves, more than waves of sound. In 1 Herschel's Meteorology, Art. 233. 2 Lectures on Sound, p. 3. (Longmans.) STRUCTURE AND LIGHT OF THE SKY. 255 the case of an ordinary beam of light, the vibrations of the ether-particles are executed in every direction perpendicular to it ; but let the beam impinge obliquely upon a plane- glass surface, as in the case of Malus, the portion reflected will no longer have its particles vibrating in all directions round it. By the act of reflection, if it occur at the proper angle, the vibrations are all confined to a single plane, and light thus circumstanced is called plane polarized light. A beam of light passing through ordinary glass executes its vibrations within the substance exactly as it would do in air, or in ether-filled space. Not so when it passes through many transparent crystals. For these have also their two-sidedness, the arrangement of their molecules being such as to tolerate vibrations only in certain definite directions. There is the well-known crystal tourmaline, which shows a marked hostility to all vibrations executed at right angles to the axis of the crystal. It speedily ex- tinguishes such vibrations, while those executed parallel to the axis are freely propagated. The consequence is, that a beam of light, after it has passed through any thickness of this crystal, emerges from it polarized. So also as regards the beautiful crystal known as Iceland spar, or as double- refracting spar. In one direction, but in one only, it acts like a piece of glass ; in all other directions it splits the beam of light passing through it into two distinct halves, both of which are perfectly polarized, their vibrations being executed in two planes, at right angles to each other. It is possible by a suitable contrivance to get rid of one of the two polarized beams into which Iceland spar divides an ordinary beam of light. This was done so ingeniously and effectively by a man named Nicol, that the Iceland spar, cut in his fashion, is now universally known as Nicol's prism. Such a prism can polarize a beam of light, and if the beam, before it impinges on the prism, be already polarized, in one position of the prism it is stopped, while in another 256 FRAGMENTS OF SCIENCE. position it is transmitted. Our way is now, to some extent, cleared toward an examination of the light of the sky. Looking at various points of the blue firmament through a Nicol's prism, and turning the prism round its axis, we im- mediately notice variations of brightness. In certain posi- tions of the prism, and from certain points of the firmament, the light appears to be freely transmitted ; while it is only necessary to turn the prism round its axis through an angle of 90 to materially diminish the intensity of the light. On close scrutiny it is found that the difference produced by the rotation of the prism is greatest when the sky is re- garded in a direction at right angles to that of the solar rays through the air. Let me describe a few actual observations made some days ago on Primrose Hill. The sun was near setting, and a few scattered neutral-tint clouds, which failed to catch the dying light, were floating in the air. When these were looked at across the track of the solar beams, it was pos- sible, by turning the Nicol round, to see them either as white clouds on a dark ground, or as dark clouds on a bright ground. 1 In certain positions of the prisms the sky-light was in great part quenched, and then the clouds, projected against the darkness of space, appeared white. Turning the Nicol 90 round its axis, the brightness of the sky was restored, the clouds becoming dark through contrast with this brightness. Experiments of this kind prove that the blue light sent to us by the firmament is polarized, and that the direction of most perfect polarization is perpendicular to the solar rays. Were the heavenly azure like the light scattered from a thick cloud, the turning of the prism would have no effect upon it ; it would be transmitted equally dur- ing the entire rotation of the prism. The light of the sky is in great part quenched, because it is in great part polarized. 1 1 was not aware when these words were written that this observation was made by the indefatigable Brewster. STRUCTURE AND LIGHT OF THE SKY. 257 When a luminous beam impinges at the proper angle on a plane-glass surface it is polarized by reflection. It is polarized, in part, by all oblique reflections ; but at one particular angle, the reflected light is perfectly polarized. An exceedingly beautiful and simple law, discovered by Sir David Brewster, enables us readily to find the polarizing angle of any substance whose refractive index is known. This law was discovered experimentally by Brewster ; but the "Wave Theory of light renders a complete reason for the law. A geometrical image of it is thus given : When a beam of light impinges obliquely upon a plate of glass it is in part reflected and in part refracted. At one particular incidence the reflected and the refracted portions of the beam are at right angles to each other. The angle of inci- dence is then the polarizing angle. It varies with the re- fractive index of the substance ; being for water 52^, for glass 57, and for diamond 68. It has been already stated that, in order to obtain the most perfect polarization of the firmamental light, the sky must be regarded in a direction at right angles to the solar beams. This is sometimes expressed by saying that the place of maximum polarization is at an angular distance of 90 from the sun. This angle, enclosed as it is between the direct and reflected rays, comprises both the angles of inci- dence and reflection, supposing the polarization to be due to a single reflection. Hence the angle of incidence is half of 90, or 45. This is the atmospheric polarizing angle, and the question is, what known substance possesses an index of refraction to correspond with this polarizing angle ? " If," says Sir John Herschel, " we knew this substance, we might be tempted to conclude that particles of it, scattered in the atmosphere, produce the polarization of the sky. Were the angle of maximum polarization 76 (instead of 90), we should look to water or ice, as the reflecting body, however inconceivable the existence in a cloudless atmos- 258 FRAGMENTS OF SCIENCE. phere and a hot summer day, of unevaporated particles of water." But a polarizing angle of 45 corresponds to a refractive index of 1 ; this means that there is no refraction at all, in which case we ought to have no reflection. Brew- ster, therefore, and others came to the conclusion that the reflection was from the particles of air themselves. Dr. Rubenson, of Upsala, made the angle enclosed between the direct and reflected beams 90 2' ; " the half of which," says Mr. Buchan, in his excellent little "Handy Book of Me- teorology," " is so near the polarizing angle of air as to leave no doubt that the light of the sky, as first stated by Brew- ster, is polarized by reflection from the particles of air." If you doubt the wisdom, acknowledge, at all events, the faith in your capacity which has caused me to bring so entangled a subject before you. I would fain believe, however, that even the intellect which draws its culture from a totally different source, may have its interest excited in subjects like the present, dark and difficult though they seem. I do not expect that you will grasp all the details of this discussion ; but everybody present will, I think, see the extremely important part hitherto played by the law of Brewster in speculations as to the color and polarization of the sky. Let me now endeavor to demonstrate in your presence, firstly, and in confirmation of our former experi- ments, that sky-blue may be produced by exceedingly mi- nute particles of any kind of matter ; secondly, that polari- zation identical with that of the sky is produced by such particles ; and thirdly, that matter in this fine state of di- vision, where its particles are small in comparison with the height and span of a wave of light, releases itself completely from the law of Brewster ; the direction of maximum polari- zation being absolutely independent of the polarizing angle as hitherto defined. Into this experimental tube, in the manner already de- scribed, I introduce a vapor which is decomposable by the STRUCTURE- AND LIGHT OF THE SKY. 259 waves of light. The mixed air and vapor are sufficient to depress the mercurial column one inch. I add to this mix- ture air, which has been permitted to bubble through dilute hydrochloric acid, until the column is depressed thirty inches : in other words, until the tube is full. And now I permit the electric beam to play upon the mixture. For some time nothing is seen. The chemical action is doubtless progressing, and condensation is going on ; but the con- densing molecules have not yet coalesced to particles suffi- ciently large to reflect sensibly the waves of light. As before stated and the statement rests upon an experimental basis the particles here generated are at first so small that their diameters would probably have to be expressed in millionths of an inch ; while to form each of these particles whole crowds of molecules are probably aggregated. Helped by such considerations the intellectual vision plunges more profoundly into atomic Nature, and shows us, among other things, how far we are from the realization of Newton's hope that the molecules might one day be seen by micro- scopes. While I am speaking, you observe this delicate blue color, forming and strengthening within the experimental tube. No sky-blue could exceed it in richness and purity ; but the particles which produce this color lie wholly beyond our microscopic range. A uniform color is here developed, which has as little breach of continuity which yields as little evidence of the particles concerned in its production, as that yielded by a body whose color is due to true mo- lecular absorption. This blue is at first as deep and dark as the sky seen from the highest Alpine peaks, and for the same reason. But it grows gradually brighter, still main- taining its blueness, until at length a whitish tinge mingles with the pure azure ; announcing that the particles are now no longer of that infinitesimal size which mainly scatters the shortest waves. 1 1 Possibly a photographic impression might be taken long before the blue becomes visible, for the ultra-blue rays are first reflected. 260 FRAGMENTS OF SCIENCE. The liquid here employed is the iodide of allyl, but I might choose any one of a dozen substances here before me to produce the effect. You have seen what may be done with the nitrite of butyl. With nitrite of amyl, bisul- phide of carbon, benzol, benzoic ether, etc., the same blue color may be produced. In all cases, where matter slowly passes from the molecular to the massive state the transi- tion is marked by the production of the blue. More than this : you have seen me looking at the blue color (I hardly like to call it a blue " cloud," its texture and properties are so different from ordinary clouds) through this bit of spar. This is a Nicol's prism, and it is to be wished that one of them could be placed in the hands of each of you. Now, this blue that I have been regarding turns out to be, if the expression be allowed, a bit of more perfect sky than the sky itself. On looking across the illuminating beam as we look across the solar rays in the atmosphere, we obtain not only partial polarization, but perfect polarization. In one position of the Nicol the blue light passes freely to the eye ; in the other it is absolutely cut off, the experimental tube being reduced to optical emptiness. It is well to place a black surface behind the experimental tube, so as to prevent foreign light from troubling the eye. In one position of the prism this black surface is seen without softening or qualification; for the particles within the tube are them- selves invisible, and the light which they scatter is quenched. If the light of the sky were polarized with the same per- fection, on looking properly toward it through a Nicol we should meet, not the mild radiance of the firmament, but the unillumined blackness of space. The construction of a Nicol's prism is such that it allows the passage of vibrations which are executed in a certain determinate direction, and these only. All vibra- tions executed at right angles to this direction are com- pletely stopped : while components only of those executed STRUCTURE AND LIGHT OF THE SKY. 261 obliquely to it are transmitted. It is easy, therefore, to see that, from the position in which the prism must be held to transmit or to quench the light of our incipient cloud, we can infer the direction of the vibrations of that light. You will be able to picture those vibrations without difficulty. Suppose a line drawn from any point of the " cloud " per- pendicular to the illuminating beam. The particles of ether along that line, which carry the light from the cloud to the eye, vibrate in a direction perpendicular both to the line and to the beam. And if any number of lines be drawn in the same way from the cloud, like the spokes of a wheel, the particles of ether along all of them oscillate in the same manner. Wherefore, if a plane surface be imagined cutting the incipient cloud at rigbt angles to its length, the vibra- tions discharged laterally are all parallel to this surface. This is the plane of vibration of the polarized light. Our incipient blue cloud is a virtual Nicol's prism, and, between it and the real prism, we can produce all the effects obtainable between the polarizer and analyzer of a polariscope. When, for example, a thin plate of selenite, which is crystallized sulphate of lime, is placed between the Nicol and the incipient cloud, we obtain the splendid chromatic phenomena of polarized light. The color of the gypsum-plate, as many of you know, depends upon its thickness. If this be uniform, the color is uniform. If, on the contrary, the plate be wedge-shaped, thickening grad- ually and uniformly from edge to back, we have brilliant bands of color produced parallel to the edge of the wedge. Perhaps the best form of plate for experiments of this character is that now in my hand, which was prepared for me some years ago by a man of genius in his way, the late Mr. Darker, of Lambeth. It consists of a plate of selenite thin at the centre, and gradually thickening toward the circumference. Placing this film between the Nicol and the cloud, we obtain, instead of a series of parallel bands, a 262 FRAGMENTS OF SCIENCE. system of splendidly-colored rings. Precisely the same phenomena are observed when we look at the blue firma- ment in a direction perpendicular to the solar rays. We have thus far illuminated our artificial sky with ordinary light. We will now examine the effects produced when the light which illuminates the particles is itself polarized. In front of the electric lamp, and between it and the experimental tube, is placed this fine Nicol's prism, which is sufficiently large to embrace and to polarize the entire beam. The plane of vibration of the light now emergent from the prism, and falling upon the cloud, is vertical ; and we find that this formless aggregate of infini- tesimal particles, without definite structure, is absolutely incompetent to scatter the light upward or downward, while it freely discharges the light horizontally, right and left. I turn the polarizing Nicol so as to render the plane of vibration horizontal ; the cloud now freely scatters the light vertically upward and downward, but it is absolutely incompetent to shed a ray horizontally to the right or left. Suppose the atmosphere of our planet to be surrounded by an envelope impervious to light, with an aperture on the sunward side, through which a solar beam could enter. Surrounded on all sides by air not directly illuminated, the track of the sunlight would resemble that of the electric beam in a dark space filled with our incipient cloud. The course of the sunbeam would be blue, and it would dis- charge laterally, in all directions round it, light in precisely the same polarized condition as that discharged from the incipient cloud. In fact, the azure revealed by the sunbeam would be the azure of such a cloud. And if, instead of permitting the ordinary light of the sun to enter the aper- ture, a NicoPs prism were placed there, which should polarize the sunlight on its entrance into our atmosphere, the particles producing the color of the sky would act precisely like those of our incipient cloud. In two directions STRUCTURE AND LIGHT OF THE SKY. 263 we should have the solar light reflected ; in two others un- reflected. In fact, out of such a solitary beam, traversing the unilluminated air, we should be able to extract every effect shown by our incipient cloud. In the production of such clouds we virtually carry bits of the sky into our laboratories, and obtain with them all the effects obtainable in the open firmament of heaven. The real sky is, as I have said, less perfect than our artificial one may be made. For, mingled with the infini- tesimal particles which constitute the true matter of the sky, there are others too coarse to scatter perfectly po- larized light at right angles to the solar beams. Hence, when the brilliancy of the sky is diminished to the utter- most, there is still a residue of light; the extinction is partial, and not total, as in the case of our incipient cloud. Let us consider this matter. The perfect polarization can only be produced by excessively minute particles ; imagine them growing gradually larger as they actually do in our experiments. The extinction by the Nicol is perfect as long as the polarization is complete. But what would you expect? Manifestly, that after a time the polarization would cease to be perfect. But here again the relation of the size of the particles to the size of the waves must come into play. In relation to the blue waves the particles are larger than in relation to the red ; the blue waves, there- fore, will be the first liberated from a condition dependent on the smallness of the particles. They will first escape from the trammels of polarization ; and on their liberation they exhibit an azure far purer and more brilliant than that produced by the first precipitation of the particles. Could we overarch ourselves with a sky of this color for a single day, it would make us discontented with our present lack- lustre firmament ever afterward. It will be observed that in all these cases reason and experiment go hand in hand, the one predicting, the other verifying; every such verift- 264 FRAGMENTS OF SCIENCE. cation lending its weight of proof to the undulatory theory on which the predictions are founded. The selenite ring-system, already referred to, is a most delicate reagent for the detection of polarized light. When we look normally r , or perpendicularly, at an incipient cloud, the colors of the rings are most vividly developed, a dim- inution of the color being immediately apparent when the incipient cloud is regarded obliquely. But let us con- tinue to look through the Nicol and selenite normally at the cloud : the particles augment in size, the cloud becomes coarser and whiter, the strength of the selenite colors be- coming gradually feebler. At length the cloud ceases to discharge polarized light along the normal, and then the selenite colors entirely disappear. If, now, the cloud be re- garded obliquely the colors are restored, very vividly, if not with their first vividness and clearness. Thus the cloud that has ceased to discharge polarized light at right angles to the illuminating beam, pours out such light copiously in oblique directions. The direction of maximum polariza- tion changes with the texture of the cloud. But this is not all ; and to understand, even partially, what remains, a word must be said regarding the appear- ance of the colors of our plate of selenite. If, as before stated, the plate be of uniform thickness, its hue in polar- ized light is uniform. Suppose, then, that by arranging the Nicol the color of the plate is raised to its maximum brilliancy, and suppose the color produced to be green" on turning the Nicol round its axis the green becomes fainter. When the angle of rotation amounts to 45 the color dis- appears ; we then pass what may be called a neutral posi- tion, where the selenite behaves, not as a crystal, but as a bit of glass. Continuing the rotation, a color reappears, but it is no longer green but red. This attains its maxi- mum at a distance of 45 from the neutral position, or, in other words, at a distance of 90 from the position which STRUCTURE AND LIGHT OF THE SKY. 265 showed the green at its maximum. At a further distance of 45 from the position of maximum red, the color disap- pears a second time. We have there a second neutral point, beyond which the green comes again into view, at- taining its maximum brilliancy at the end of a rotation of 180. By the rotation of the Nicol, therefore, through an angle of 90, we produce a color complementary to that with which we started. As may be inferred from this result, the selenite ring- system changes its character when the Nicol is turned. It is possible to have the centre of the circle dark, the surrounding rings being vividly colored. The turning of the Nicol through an angle of 90 renders the centre bright, while every point occupied by a certain color in the first instance is occupied by the complement of that color in the second. By curious internal actions, not here to be de- scribed, the cloud in our experimental tube sometimes divides itself into sections of different textures. Some sec- tions are coarser than others, while it often happens that some are iridescent to the naked eye, and others not. Looking normally at such a cloud through the selenite and Nicol, it often happens that in passing from section to sec- tion the whole character of the ring-system is changed. You start with a section producing a dark centre and a corresponding system of rings ; you pass through a neutral point to another section and find there the centre bright, and each of the first rings displaced by one of the comple- mentary color. Sometimes as many as four such rever- sions occur in the cloud of an experimental tube a yard long. Now, the changes here indicated mean that in passing from section to section of the cloud the plane of vibration of the polarized light turns suddenly through an angle of 90 ; this change being entirely due to the different texture of the two parts of the cloud. You will now be able to understand, as far as it is cat 12 266 FRAGMENTS OF SCIENCE. pable of being understood, a very beautiful effect which, under favorable circumstances, might be observed in our atmosphere. This experimental tube contains an inch of the iodide-of-allyl vapor, the remaining 29 inches necessary to fill the tube being air, which has bubbled through aque- ous hydrochloric acid. Besides, therefore, the vapor of iodide of allyl, we have those of water and of acid within the tube. The light has been acting on the mixture for some time, a beautiful incipient blue cloud being formed. As before stated, the " incipient cloud " is wholly different in texture and optical properties from an ordinary cloud ; but it is possible to precipitate in the midst of the azure the aqueous vapor so as to cause it to form in the tube a cloud similar to the clouds of our atmosphere. An exhausted vessel of about one-third of the capacity of the experi- mental tube is connected with it, the passage uniting both being closed by a stop-cock. On opening this cock the mixed air and vapor rush from the experimental tube into the empty vessel ; and, in consequence of the chilling due to rarefaction, the vapor in the experimental tube is pre- cipitated as a true cloud. What is the result ? Instantly the centre of the system of colored rings becomes bright, and the whole series of colors corresponding to definite ra- dial distances, complementary: While you continue to look at the cloud, it gradually melts away as an atmos- pheric cloud might do in the azure of heaven. And there is our azure also remaining behind. The coarser cloud seems drawn aside like a veil, the blue reappears, the first ring-system, with its dark centre and correspondingly col- ored circles, being restored. Thus patiently you have accompanied me over a piece of exceedingly difficult ground ; and I think, as a prudent guide, we ought to halt . upon the eminence we have now attained. We might go higher, but the bowlders begin here to be very rough. At a future day we shall, I doubt STRUCTURE AND LIGHT OF THE SKY. 267 not, be able to overcome this difficulty, and to reach to- gether a greater elevation. THE SKY OF THE ALPS. THE vision of an object always implies a differential action on the retina of the observer. The object is dis- tinguished from surrounding space by its excess or defect of light in relation to that space. By altering the illumi- nation, either of the object itself or of its environment, we alter the appearance of the object. Take the case of clouds floating in the atmosphere with patches of blue between them. Any thing that changes the illumination of either alters the appearance of both, that appearance depending, as stated, upon differential action. Now the light of the sky being polarized, may, as the reader of the foregoing pages knows, be in great part quenched by a Nicol's prism, while the light of a cloud, being unpolarized, cannot be thus extinguished. Hence the possibility of very re- markable variations, not only in the aspect of the firma- ment, which is really changed, but also in the aspect of the clouds which have that firmament as a background. It is possible, for example, to choose clouds of such a depth of shade that when the Nicol quenches the light behind them, they shall vanish, being undistinguishable from the residual dull tint which outlives the extinction of the brilliance of the sky. A cloud less deeply shaded, but still deep enough, when viewed with the naked eye, to appear dark on a bright ground, is suddenly changed to a white cloud on a dark ground by the quenching of the sky behind it. When a reddish cloud at sunset chances to float in the region of maximum polarization, the quenching of the sky behind it causes it to flash with a brighter crimson. Last Easter eve the Dartmoor sky, which had just been cleansed by a snow- 268 FRAGMENTS OF SCIENCE. storm, wore a very wild appearance. Round the horizon it was of steely brilliancy, while reddish cumuli and cirri floated southward. When the sky was quenched behind them these floating masses seemed like dull embers sud- denly blown upon ; they brightened like a fire. In the Alps we have the most magnificent examples of crimson clouds and snows, so that the effects just referred to may be here studied under the best possible conditions. On August 23, 1869, the evening Alpenglow was very fine, though it did not reach its maximum depth and splendor. Toward sunset I walked up the slopes to obtain a better view of the Weisshorn. The side of the peak seen from the Bel Alp, being turned from the sun, was tinted mauve ; but I wished to see one of the rose-colored buttresses of the mountain. Such was visible from a point a few hundred feet above the hotel. The Matterhorn also, though for the most part in shade, had a crimson projection, while a deep ruddy red lingered along its western shoulder. Four dis- tinct peaks and buttresses of the Dom, in addition to its dominant head all covered with pure snow were red- dened by the light of sunset. The shoulder of the Alphu- bel was similarly colored, while the great mass of the Flet- schorn was all a-glow, and so was the snowy spine of the Monte Leone. Looking at the Weisshorn through the Nicol, the glow of its protuberance was strong or weak according to the position of the prism. The summit also underwent a change. In one position of the prism it exhibited a pale white against a dark background ; in the rectangular posi- tion, it was a dark mauve against a light background. The red of the Matterhorn changed in a similar manner ; but the whole mountain also passed through striking changes of definition. The air at the time was filled with a silvery haze, in which the Matterhorn almost disappeared. This could be wholly quenched by the Nicol, and then the THE SKY OF THE ALPS. 269 mountain sprang forth with astonishing solidity and detach- ment from the surrounding air. The changes of the Dom were still more wonderful. A vast amount of light could be removed from the sky behind it, for it occupied the po- sition of maximum polarization. By a little practice with the Nicol it was easy to render the extinction of the light, or its restoration, almost instantaneous. When the sky was quenched, the four minor peaks and buttresses, and the summit of the Dom, together with the shoulder of the Al- phubel, glowed as if set suddenly on fire. This was imme- diately dimmed by turning the Nicol through an angle of 90. It was not the stoppage of the light of the sky behind the mountains alone which produced this startling effect ; the air between them and me was highly opalescent, and the quenching of this intermediate glare augmented re- markably the distinctness of the mountains. On the morning of August 24th similar effects were fine- ly shown. At 10 A. M. all three mountains, the Dom, the Matterhorn, and the Weisshorn, were powerfully affected by the Nicol. But in this instance also the line drawn to the Dom being accurately perpendicular to the direction of the solar shadows, and consequently very nearly perpen- dicular to the solar beams, the effects on this mountain were most striking. The gray summit of the Matterhorn at the same time could scarcely be distinguished from the opales- cent haze around it ; but when the Nicol quenched the haze, the summit became instantly isolated, and stood out in bold definition. It is to be remembered that in the pro- duction of these effects the only things changed are the sky behind and the luminous haze in front of the moun- tains ; that these are changed because the light emitted from the sky and from the haze is plane polarized light, 1 and that the light from the snows and from the mountains being sensibly unpolarized, is not directly affected by the 1 Defined at page 255. 270 FRAGMENTS OF SCIENCE. Nicol. It will also be understood that it is not the interposi- tion of the haze as an opaque body that renders the moun- tains indistinct, but that it is the light of the haze which dims and bewilders the eye, and thus weakens the defini- tion of objects seen through it. The results have a direct bearing upon what artists call " aerial perspective." As we look from the summit of the Aletschhorn, or from a lower elevation, at the serried crowd of peaks, especially if the mountains be darkly colored covered with pines, for example every peak and ridge is separated from the mountains behind it by a thin blue haze which renders the relations of the mountains as to distance unmistakable. When this haze is regarded through the Nicol perpendicular to the sun's rays, it is in many cases wholly quenched, because the light which it emits in this direction is wholly polarized. When this happens, aerial perspective is abolished, and mountains very differently dis- tant appear to rise in the same vertical plane. Close to the Bel Alp, for instance, is the gorge of the Massa, and beyond the gorge is a high ridge darkened by pines. This ridge may be projected upon the dark slopes at the opposite side of the Rhone valley, and between both we have the blue haze referred to, throwing the distant mountains far away. But at certain hours of the day this haze may be quenched, and then the Massa ridge and the mountains beyond the Rhone seem almost equally distant from the eye. The one appears, as it were, a vertical continuation of the other. The haze varies with the temperature and humidity of the atmosphere. At certain times and places it is almost as blue as the sky itself ; but to see its color, the attention must be withdrawn from the mountains and from the trees which cover them. In point of fact, the haze is a piece of more or less perfect sky ; it is produced in the same man- ner, and is subject to the same laws, as the firmament it- self. We live in the sky, not under it. THE SKY OF THE ALPS. 271 These points were further elucidated by the deportment of the selenite plate, with which the readers of the fore- going discourse are already acquainted. On some of the sunny days of August the haze in the valley of the Rhone, as looked at from the Bel Alp, was very remarkable. Tow- ward evening the sky above the mountains opposite to my place of observation yielded a series of the most splendidly- colored iris-rings ; but on lowering the selenite until it had the darkness of the pines at the opposite side of the Rhone valley, instead of the darkness of space as a background, the colors were not much diminished in brilliancy. I should estimate the distance across the valley, as the crow flies, to the opposite mountains, at nine miles ; so that a body of air nine miles thick can, under favorable circumstances, produce chromatic effects of polarization almost as vivid as those produced by the sky itself. Again : the light of a landscape, as of most other things, consists of two parts: the one part comes purely from superficial reflection, and this light is always of the same color as that which falls upon the landscape ; the other part comes to us from a certain depth within the objects which compose the landscape, and it is this portion of the total light which gives these objects their distinctive colors. The white light of the sun enters all substances to a certain depth, and is partially ejected by internal reflec- tion ; each distinct substance absorbing and reflecting the light in accordance with the laws of its own molecular con- stitution. Thus the solar light is sifted by the landscape, which appears in such colors and variations of color as, after the sifting process, reach the observer's eye. Thus the bright green of grass, or the darker color proper to the pine, never comes to us alone, but is always mingled with an amount of really foreign light derived from superficial reflection. A certain hard brilliancy is conferred upon the woods and meadows by this superficially-reflected light. 272 FRAGMENTS OF SCIENCE. Under certain circumstances, it may be quenched by a Nicol's prism, and we then obtain the true color of the grass and foliage. Trees and meadows thus regarded exhibit a richness and softness of tint which they never show as long as the superficial light is permitted to mingle with the true interior emission. The needles of the pines show this effect very well, large-leaved trees still better ; while a glimmer- ing field of maize exhibits the most extraordinary variations when looked at through the rotating Nicol. Thoughts and questions like those here referred to took me, in August, 1869, to the top of the Aletschhorn. The effects described in the foregoing paragraphs were for the most part reproduced in the summit of the mountain. I scanned the whole of the sky with my Nicol. Both alone and in conjunction with the selenite it pronounced the per- pendicular to the solar beams to be the direction of maxi- mum polarization. But at no portion of the firmament was the polarization complete. The artificial sky produced in the experiments recorded in the preceding discourse could, in this respect, be rendered more perfect than the natural one ; while the gorgeous " residual blue " which makes its appearance when the polarization of the artificial sky ceases to be perfect, was strongly contrasted with the lack-lustre hue which, in the case of the firmament, outlived the ex- tinction of the brilliance. With certain substances, how- ever, artificially treated, this dull residue may also be ob- tained. All along the arc from the Matterhorn to Mont Blanc the light of the sky immediately above the mountains was powerfully acted upon by the Nicol. In some cases the variations of intensity were astonishing. I have already said that a little practice enables the observer to shift the Nicol from one position to another so rapidly as to render the alternate extinction and restoration of the light imme- diate. When this was done along the arc to which I have THE SKY OF THE ALPS. 273 referred, the alternations of light and darkness resembled the play of sheet-lightning behind the mountains. My notes state that there was an element of awe connected with the suddenness with which the mighty masses, ranged along the line referred to, changed their aspect and defi- nition under the operation of the prism. JLibrary* California XI. DUST AND DISEASE. A DISCOURSE. DELIVEEED IN THE ROYAL INSTITUTION OP GEEAT BRITAIN. January 21, 1870. With Additions. " Tout rniasme contagieux ales proprictcs, 1 s de reproduire son ana- logue dans une maladie qu'il a occasionnee ; 2 de se repandre et dc s'entendre a 1'infini, en vertu de ce developpement secondaire, c'est-a- dire, aussi longtemps qu'il existe unematiere propre a recevoir le miasme, et en a produire un nouveau. Ces deux proprietcs lui sont communes avec les germes des animaux et des plantes. HlLDEBRAND. XL ON DUST AND DISEASE. Experiments on Dusty Air. SOLAR light in passing through a dark room reveals its track by illuminating the dust floating in the air. " The sun," says Daniel Culverwell, " discovers atonies, though they be invisible by candle-light, and makes them dance naked in his beams." 1 In my researches on the decomposition of vapors by light, I was compelled to remove these " atomes " and this dust. It was essential that the space containing the vapors should embrace no visible thing ; that no substance capable of scattering the light in the slightest sensible degree should, at the outset of an experiment, be found in the " ex- perimental tube " traversed by the luminous beam. For a long time I was troubled by the appearance there of floating dust, which though invisible in diffuse daylight was at once revealed by a powerfully-condensed beam. Two tubes were placed in succession in the path of the air : the one containing fragments of glass wetted with concentrated sulphuric acid ; the other, fragments of marble wetted with a strong solution of caustic potash. To my astonishment the dust passed through both. The air of the Royal Insti- tution sent through these tubes at a rate sufficiently slow 1 On a day of transient shadows there is something almost magical in the rise and dissolution of the luminous beams among the scaffolding poles of the Royal Albert Hall. 278 FRAGMENTS OF SCIENCE. to dry it, and to remove its carbonic acid, carried into the experimental tube a considerable amount of mechanically suspended matter, which was illuminated when the beam passed through the tube. The effect was substantially the same when the air was permitted to bubble through the liquid acid and through the solution of potash. Thus, on October 5, 1868, successive charges of air were admitted through the potash and sulphuric acid into the ex- hausted experimental tube. Prior to the admission of the air the tube was optically empty ; it contained nothing competent to scatter the light. After the air had entered the tube, the conical track of the electric beam was in all cases clearly revealed. This, indeed, was a daily observa- tion at the time to which I now refer. I tried to intercept this floating matter in various ways ; and on the day just mentioned, prior to sending the air through the drying apparatus, I carefully permitted it to pass over the tip of a spirit-lamp flame. The floating mat- ter no longer appeared, having been burnt up by the flame. It was, therefore, of organic origin. I was by no means prepared for this result ; for I had thought that the dust of our air was, in great part, inorganic and non-combustible. I had constructed a small gas-furnace, now much em- ployed by chemists, containing a platinum tube, which could be heated to vivid redness. 1 The tube contained a roll of platinum gauze, which, while it permitted the air to pass through it, insured the practical contact of the dust with the incandescent metal. The air of the laboratory was permitted to enter the experimental tube, sometimes through the cold, and sometimes through the heated, tube of platinum. The rapidity of admission was also varied. In the first column of the following table the quantity of air operated on is expressed by the number of inches which the mercury gauge of the air-pump sank when the air en- 1 Pasteur was, I believe, the first to employ such a tube. DUST AND DISEASE. 279 tered. In the second column the condition of the platinum tube is mentioned, and in the third the state of the air which had entered the experimental tube. Quantity of Air. State of Platinum Tube. State of Experimental Tube. 15 inches Cold Full of particles. 15 " Red hot Optically empty. The phrase " optically empty " shows that when the con- ditions of perfect combustion were present, the floating matter totally disappeared. It was wholly burnt up, leav- ing no sensible residue. The experiment was repeated many times, with the same invariable result. The whole of the visible particles floating in the air of London rooms being thus proved to be of organic origin, 1 I sought to burn them up at the focus of a concave re- flector. One of the powerfully convergent mirrors em- ployed in my experiments on combustion by dark rays was here made use of, but I failed in the attempt. Doubtless the floating particles are in part transparent to radiant heat, and are so far incombustible by such heat. Their rapid motion through the focus also aids their escape. They do not linger there sufficiently long to be consumed. A flame it was evident would burn them up, but I at first thought the presence of the flame would mask its own action among the particles. 1 According to an analysis kindly furnished to me by Dr. Percy, the dust collected from the walk of the British Museum contains fully 50 per cent, of inorganic matter. I have every confidence in the results of this dis- tinguished chemist ; they show that the floating dust of our rooms is, as it were, winnowed from the heavier matter. As bearing directly upon this point, I may quote the following passage from Pasteur : " Mais ici se presente une remarque : la poussiere que 1'on trouve a la surface de tous les corps est soumise constamment a des courants d'air, qui doivent sou- lever ses particules les plus legeres, au nombre desquelles se trouvent, sans doute, de preference les corpuscules organises, oaufs ou spores, moins lourds generalement que les particules minerales." 280 FRAGMENTS OF SCIENCE. In a cylindrical beam, which strongly illuminated the dust of the laboratory, was placed an ignited spirit-lamp. Mingling with the flame, and round its rim, were seen curious wreaths of darkness resembling an intensely-black smoke. On lowering the flame below the beam the same dark masses stormed upward. They were at times blacker than the blackest smoke that I have ever seen issuing from the funnel of a steamer ; and their resemblance to smoke was so perfect as to lead the most practised observer to conclude that the apparently-pure flame of the alcohol-lamp required but a beam of sufficient intensity to reveal its clouds of liberated carbon. But is the blackness smoke ? This question presented itself in a moment. A red-hot poker was placed under- neath the beam, and from it the black wreaths also as- cended. A large hydrogen-flame was next employed, and it produced those whirling masses of darkness far more copiously than either the spirit-flame or poker. Smoke was therefore out of the question. What, then, was the blackness ? It was simply that of stellar space ; that is to say, blackness resulting from the absence from the track of the beam of all matter competent to scatter its light. When the flame was placed below the beam, the floating matter was destroyed in situ and the air, freed from this matter, rose into the beam, jostled aside the illuminated particles, and substituted for their light the darkness due to its own perfect transparency. Nothing could more forcibly illustrate the invisibility of the agent which renders all things visible. The beam crossed, un- seen, the black chasm formed by the transparent air, while at both sides of the gap the thick-strewn particles shone out like a luminous solid under the powerful illumina- tion. But here a rather perplexing difficulty meets us. It is not necessary to burn the particles to produce a stream of DUST AND DISEASE. 281 darkness. Without actual combustion, currents may be generated which shall exclude the floating matter, and therefore appear dark amid the surrounding brightness. I noticed this effect first on placing a red-hot copper ball be- low the beam, and permitting it to remain there until its temperature had fallen below that of boiling water. The dark currents, though much enfeebled, were still produced. They may also be produced by a flask filled with hot water. To study this effect a platinum wire was stretched across the beam, the two ends of the wire being connected with the two poles of a voltaic battery. To regulate the strength of the current a rheostat was placed in the circuit. Beginning with a feeble current the temperature of the wire was gradually augmented ; but, before it reached the heat of ignition, a flat stream of air rose from it, which when looked at edgeways appeared darker and sharper than one of the blackest lines of Fraunhofer in the solar spec- trum. Bight and left of this dark vertical band the float- ing matter rose" upward, bounding definitely the non-lumi- nous stream of air. What is the explanation? Simply this : The hot wire rarefied the air in contact with it, but it did not equally lighten the floating matter. The con- vection current of pure air therefore passed upward among the, inert particles, dragging them after it right and left, but forming between them an impassable black partition. This elementary experiment enables us to render an account of the dark currents produced by bodies at a temperature be- low that of combustion. When the wire is white hot, it sends up a band of in- tense darkness. This, I say, is due to the destruction of the floating matter. But even when its temperature does not exceed that of boiling water, the wire produces a dark ascending current. This, I say, is due to the distribution of the floating matter. Imagine the wire clasped by the 282 FKAGMENTS OF SCIENCE. mote-filled air. My idea is that it heats the air and lightens it, without in the same degree lightening the floating mat- ter. The tendency, therefore, is to start a current of clean air through the mote-filled air. Figure the motion of the air all round the wire. Looking at its transverse section we should see the air at the bottom of the wire bending round it right and left in two branch-currents, ascend- ing its sides and turning to fill the^ partial vacuum created above the wire. Now as each new supply of air, filled with its motes, comes in contact with the hot wire, the clean air, as just stated, is first started through the inert motes. They are dragged after it, but there is a fringe of cleansed air in advance of the motes. The two purified fringes of the two branch-currents unite above the wire, and, keep- ing the motes that once belonged to them right and left, they form by their union the dark band observed in the experiment. This process is incessant. Always the mo- ment the mote-filled air touches the wire this distribution is effected, a permanent dark band being thus produced. Could the air and the particles under the wire pass through its mass we should have a vertical current of particles, but no dark band. For here, though the motes would be left behind at starting, they would hotly follow the ascending current and thus abolish the darkness. It has been said that when the platinum wire is intensely heated, the floating matter is not only distributed, but de- stroyed. Let this be proved. I stretched a wire about 4 inches long through the air of an ordinary glass shade, rest- ing on its stand. Its lower rim rested on cotton-wool, which also surrounded the rim. The wire was raised to a white heat by an electric current. The air expanded, and some of it was forced through the cotton-wool, while, when the current was interrupted and the air within the shade cooled, the expelled air in its return did not carry motes along with it. At the beginning of this experiment the shade was DUST AND DISEASE. 283 charged with floating matter ; at the end of half an hour it was optically empty. A second experiment was thus arranged : on the wooden base of a cubical glass shade, measuring 11|- inches a side, upright supports were fixed, and from one support to the other 38 inches of platinum wire were stretched in four parallel lines. The ends of the platinum wire were soldered to two stout copper wires, which passed through the base of the shade and could be connected with a battery. As in the last experiment, the shade rested upon cotton-wool. A beam sent through the shade revealed the suspended matter. The platinum wire was then raised to whiteness. In iive minutes there was a sensible diminution of the mat- ter, and in ten minutes it was totally consumed. This proves that when the platinum wire is sufficiently heated, the floating matter, instead of being distributed, is destroyed. But is not the matter really of a character which permits of its destruction by the moderately-heated platinum wire ? Here is the reply : 1. A platinum tube, with its plug of platinum gauze, was connected with an experimental tube, through which a powerful beam could be sent from an electric lamp placed at its end. The platinum tube was heated till it glowed feebly but distinctly in the dark. The experimental tube was exhausted, and then filled with air which had passed through the red-hot tube. A considerable amount of float- ing matter which had escaped combustion was revealed by the electric beam. 2. The tube was raised to brighter redness and the air permitted to pass slowly through it. Though diminished in quantity, a certain amount of floating matter passed into the exhausted experimental tube. 3. The platinum tube was rendered still hotter ; a barely perceptible trace of the floating matter now passed through it. 284 FRAGMENTS OF SCIENCE. 4. The experiment was repeated, with the difference that the air was sent more slowly through the red-hot tube. The floating matter was totally destroyed. 5. The platinum tube was now lowered until it bordered upon a visible red heat. The air sent through it still more slowly than in the last experiment carried with it a cloud of floating matter. If, then, the suspended matter is destroyed by a bright- red heat, much more is it destroyed by a flame, whose tem- perature is vastly higher than any here employed. So that the blackness introduced into a luminous beam where a flame is placed beneath it is due, as stated, to the destruc- tion of the suspended matter. At a dull-red heat, how- ever, and still more when only on the verge of redness, the platinum tube permitted the motes to pass freely. In the latter case the temperature was 800 or 900 Fahrenheit. This was unable to destroy the suspended matter ; much less, therefore, would a platinum wire heated to 212 be competent to do so. Such a wire can only distribute the matter, not destroy it. The floating dust is revealed by intense local illumina- tion. It is seen by contrast with the adjacent illuminated space ; the brighter the illumination the more sensible is the difference. Now, the beam employed in the foregoing experiments is not of the same brightness throughout its entire transverse section. Pass a white switch, or an ivory paper-cutter, rapidly across the beam, the impression of its section will linger on the retina. The section seems to float for a moment in the air as a luminous circle, with a rim much brighter than its central portion. The core of the beam is thus seen to be enclosed by an intensely-luminous sheath. An effect complementary to this is observed when the beam is intersected by the dark band from the platinum wire. The brighter the illumination the greater must be the rela- tive darkness consequent on the withdrawal of the light. DUST AND DISEASE. 285 Hence the cross-section of the sheath surrounds the dark band as a darker ring. Oxygen, hydrogen, nitrogen, carbonic acid, so prepared as to exclude all floating particles, produce the darkness when poured or blown into the beam. Coal-gas does the same. An ordinary glass shade placed in the air with its mouth downward permits the track of the beam to be seen crossing it. Let coal-gas or hydrogen enter the shade by a tube reaching to its top, the gas gradually fills the shade from the top downward. As soon as it occupies the space crossed by the beam, the luminous track is instantly abol- ished. Lifting the shade so as to bring the common bound- ary of gas and air above the beam, the track flashes forth. After the shade is full, if it be inverted, the gas passes up- ward like a black smoke among the illuminated particles. The air of our London rooms is loaded with this organic dust, nor is the country air free from its presence. How r ever ordinary daylight may permit it to disguise itself, a suffi- ciently powerful beam causes dust suspended in air to ap- pear almost as a semi-solid. Nobody could, in the first instance, without repugnance, place the mouth at the illu- minated focus of the electric beam and inhale the thickly- massed dust revealed there. Nor is the repugnance abol- ished by the reflection that, although we do not see the floating particles, we are taking them into our lungs every hour and minute of our lives. The Germ- Theory of Contagious Disease. There is no respite to this contact with the floating mat- ter of the air ; and the wonder is, not that we should suffer occasionally from its presence, but that so small a portion of it, and even that but rarely diffused over large areas, should appear to be deadly to man. And what is this por- tion ? It was some time ago the current belief that epidemic 286 FRAGMENTS OF SCIENCE. diseases generally were propagated by a kind of malaria, which consisted of organic matter in a state of motor-decay; that when such matter was taken into the body through the lungs, skin, or stomach, it had the power of spreading there the destroying process which had attacked itself. Such a power was visibly exerted in the case of yeast. A little leaven was seen to leaven the whole lump, a mere speck of matter in this supposed state of decomposition be- ing apparently competent to propagate indefinitely its own decay. Why should not a bit of rotten malaria work in a similar manner within the human frame ? In 1836 a very wonderful reply was given to this question. In that year Cagniard de la Tour discovered the yeast-plant, a living or- ganism, which, when placed in a proper medium, feeds, grows, and reproduces itself, and in this way carries on the process which we name fermentation. By this striking discovery fermentation was connected with organic growth. Schwann, of Berlin, discovered the yeast-plant inde- pendently about the same time ; and in February, 1837, he also announced the important result that, when a decoction of meat is effectually screened from ordinary air, and sup- plied solely with calcined air, putrefaction never sets in. Putrefaction, therefore, he affirmed to be caused by some- thing derived from the air, which something could be de- stroyed by a sufficiently high temperature. The results of Swann were confirmed by the independent experiments of Helmholtz, Ure, and Pasteur, while other methods, pursued by Schultze and by Schroeder and Dusch, led to the same result. But as regards fermentation, the minds of chemists, influenced probably by the great authority of Gay-Lussac, fell back upon the old notion of matter in a state of decay. It was not the living yeast-plant, but the dead or dying parts of it, which, assailed by oxygen, produced the fer- mentation. This notion was finally exploded by Pasteur. He proved that the so-called " ferments " are not such ; DUST AND DISEASE. 287 that the true ferments are organized beings, which find in the reputed ferments their necessary food. Side by side with these researches and discoveries, and fortified by them and others, has run the germ-theory of epidemic disease. The notion was expressed by Kircher and favored by Linnaeus, that epidemic diseases are due to germs which float in the atmosphere, enter the body, and produce disturbance by the development within the body of parasitic life. While it was still struggling against great odds, this theory found an expounder and a defender in the President of this institution. At a time when most of his medical brethren considered it a wild dream, Sir Henry Holland contended that some form of the germ- theory was probably true. The strength of this theory consists in the perfect parallelism of the phenomena of con- tagious disease with those of life. As a planted acorn gives birth to an oak competent to produce a whole crop of acorns, each gifted with the power of reproducing its parent-tree ; and as thus from a single seedling a whole forest may spring ; so, it is contended, these epidemic dis- eases literally plant their seeds, grow, and shake abroad new germs, which, meeting in the human body their proper food and temperature, finally take possession of whole populations. There is nothing to my knowledge in pure chemistry which resembles the power of self-multiplication possessed by the matter which produces epidemic disease. If you sow wheat you do not get barley ; if you sow small- pox you do not get scarlet fever, but small-pox indefinitely multiplied, and nothing else. The matter of each con- tagious disease reproduces itself as rigidly as if it were (as Miss Nightingale puts it) dog or cat. "arasitic Diseases of SilJc-ivorms. Pasteups ResearcJies. It is admitted on all hands that some diseases are the product of parasitic growth. Both in man and lower crea- 288 FRAGMENTS OF SCIENCE. tures, the existence of such diseases has been demonstrated. I am enabled to lay before you an account of an epidemic of this kind, thoroughly investigated and successfully com- batted by M. Pasteur. For fifteen years a plague had raged among the silk-worms of France. They had sickened and died in multitudes, while those that succeeded in spin- ning their cocoons furnished only a fraction of the normal quantity of silk. In 1853 the silk culture of France pro- duced a revenue of one hundred and thirty millions of francs. During the twenty previous years the revenue had doubled itself, and no doubt was entertained as to its future augmentation. The weight of the cocoons produced in 1853 was twenty-six millions of kilogrammes ; in 1865 it had fallen to four millions, the fall entailing in the single year last mentioned a loss of one hundred millions of francs. The country chiefly smitten by this calamity happened to be that of the celebrated chemist, Dumas, now perpetual secretary of the French Academy of Sciences. He turned to his friend, colleague, and pupil, Pasteur, and besought him with an earnestness which the circumstances rendered almost personal, to undertake the investigation of the malady. Pasteur at this time had never seen a silk-worm, and he urged his inexperience in reply to his friend. But Dumas knew too well the qualities needed for such an in- quiry to accept Pasteur's reason for declining it. " Je mets," said he, " un prix extreme a' voir votre attention fixee sur la question qui interesse mon pauvre pays; la misere surpasse tout ce que vous pouvez imaginer." Pamphlets about the plague had been showered upon the public, the monotony of waste-paper being broken at rare intervals by a more or less useful publication. " The Pharmacopoeia of the Silk-worm," wrote M. Cornalia in 1860, "is now as complicated as that of man. Gases, liquids, and solids have been laid under contribution. From chlorine to sulphurous acid, from nitric acid to rum, DUST AND DISEASE. 289 from sugar to sulphate of quinine all has been invoked in behalf of this unhappy insect." The helpless cultivators, moreover, welcomed with ready trustfulness every new remedy, if only pressed upon them with sufficient hardi- hood. It seemed impossible to diminish their blind confi- dence in their blind guides. In 1863 the French Minister of Agriculture himself signed an agreement to pay 500,000 francs for the use of a remedy which its promoter declared to be infallible. It was tried in twelve different depart- ments of France, and found perfectly useless. In no single instance was it successful. It was under these circum- .stances that M. Pasteur, yielding to the entreaties of his friend, betook himself to Alais in the beginning of June, 1865. As regards silk husbandry, this was the most im- portant department in France, and it was also that which had been most sorely smitten by the epidemic. The silk-worm had been previously attacked by mus- cardine, a disease proved by Bassi to be caused by a vege- table parasite. Though not hereditary, this malady was propagated annually by the parasitic spores, which, wafted by winds, often sowed the disease in places far removed from the centre of infection. Muscardine is now said to be very rare ; but for the last fifteen or twenty years a deadlier malady has taken its place. A frequent outward sign of this new disease are the black spots which cover the silk-worms, hence the name pebrine, first applied to the plague by M. de Quatrefages, and adopted by Pasteur. Pebrine declares itself in the stunted and unequal growth of the worms, in the languor of their movements, in their fastidiousness as regards food, and in their premature death. The track of discovery as regards the epidemic is this: In 1849 Guerin M