CHAPTER VII MODERN ALCHEMY "Modern Alchemy." |
§ 85. Correctly speaking, there is no such thing as “Modern Alchemy”; not that Mysticism is dead, or that men no longer seek to apply the principles of Mysticism to phenomena on the physical plane, but they do so after another manner from that of the alchemists. A new science, however, is born amongst us, closely related on the one hand to Chemistry, on the other to Physics, but dealing with changes more profound and reactions more deeply seated than are dealt with by either of these; a science as yet without a name, unless it be the not altogether satisfactory one of “Radioactivity.” It is this science, or, perhaps we should say, a certain aspect of it, to which we refer (it may be fantastically) by the expression “Modern Alchemy”: the aptness of the title we hope to make plain in the course of the present chapter. X-rays and Becquerel rays. § 86. As is commonly known, what are called X-rays are produced when an electric discharge is passed through a high-vacuum tube. It has been shown that these rays are a series of irregular pulses in the ether, which are set up when the kathode particles strike the walls of the glass vacuum tube,[101] and it was found that more powerful effects can be produced by inserting a disc of platinum in the path of the kathode particles. It was M. Becquerel who first discovered that there are substances which naturally emit radiations similar to X-rays. He found that uranium compounds affected a photographic plate from which they were carefully screened, and he also showed that these uranium radiations, or “Becquerel rays,” resemble X-rays in other particulars. It was already known that certain substances fluoresce (emit light) in the dark after having been exposed to sunlight, and it was thought at first that the above phenomenon exhibited by uranium salts was of a like nature, since certain uranium salts are fluorescent; but M. Becquerel found that uranium salts which had never been exposed to sunlight were still capable of affecting a photographic plate, and that this remarkable property was possessed by all uranium salts, whether fluorescent or not. This phenomenon is known as “radioactivity,” and bodies which exhibit it are said to be “radioactive.” Schmidt found that thorium compounds possess a similar property, and Professor Rutherford showed that thorium compounds evolved also something resembling a gas. He called this an “emanation.” The Discovery of Radium. § 87. Mme. Curie[102] determined the radioactivity of many uranium and thorium compounds, and found that there was a proportion between the radioactivity of such compounds and the quantity of uranium or thorium in them, with the remarkable exception of certain natural ores, which had a radioactivity much in excess of the normal, and, indeed, in certain cases, much greater than pure uranium. In order to throw some light on this matter, Mme. Curie prepared one of these ores by a chemical process and found that it possessed a normal radioactivity. The only logical conclusion to be drawn from these facts was that the ores in question must contain some unknown, highly radioactive substance, and the Curies were able, after very considerable labour, to extract from pitchblende (the ore with the greatest radioactivity) minute quantities of the salts of two new elements—which they named “Polonium” and “Radium” respectively—both of which were extremely radioactive. M. Debierne has obtained a third radioactive substance from pitchblende, which he has called “Actinium.” Chemical Properties of Radium. § 88. Radium is an element resembling calcium, strontium, and barium in chemical properties; its atomic weight was determined by Mme. Curie, and found to be about 225, according to her first experiments; a redetermination gave a slightly higher value, which has been confirmed by a further investigation carried out by Sir T. E. Thorpe.[103] Radium gives a characteristic spectrum, and is intensely radioactive. It should be noted that up to the middle of the year 1910 the element radium itself had not been prepared; in all the experiments carried out radium salts were employed (i.e., certain compounds of radium with other elements), generally radium chloride and radium bromide. In that year, however, Mme. Curie, in conjunction with M. Debierne, obtained the free metal. It is described as a white, shining metal resembling the other alkaline earth metals. It reacts very violently with water, chars paper with which it is allowed to come in contact, and blackens in the air, probably owing to the formation of a nitride. It fuses at 700° C., and is more volatile than barium.[104] The Radioactivity of Radium. § 89. Radium salts give off three distinct sorts of rays, referred to by the Greek letters a, , ?. The a-rays have been shown to consist of electrically charged (positive) particles, with a mass approximately equal to that of four hydrogen atoms; they are slightly deviated by a magnetic field, and do not possess great penetrative power. The -rays are similar to the kathode rays, and consist of (negative) electrons; they are strongly deviated by a magnetic field, in a direction opposite to that in which the a-particles are deviated, and possess medium penetrative power, passing for the most part through a thin sheet of metal. The ?-rays resemble X-rays; they possess great penetrative power, and are not deviated by a magnetic field. The difference in the effect of the magnetic field on these rays, and the difference in their penetrative power, led to their detection and allows of their separate examination. Radium salts emit also an emanation, which tends to become occluded in the solid salt, but can be conveniently liberated by dissolving the salt in water, or by heating it. The emanation exhibits the characteristic properties of a gas, it obeys Boyle’s Law (i.e., its volume varies inversely with its pressure), and it can be condensed to a liquid at low temperatures; its density as determined by the diffusion method is about 100. Attempts to prepare chemical compounds of the emanation have failed, and in this respect it resembles the rare gases of the atmosphere—helium, neon, argon, krypton, and xenon—whence it is probable that its molecules are monatomic, so that a density of 100 would give its atomic weight as 200.[105] As can be seen from the table on pp. 106, 107, an atomic weight of about 220 corresponds to a position in the column containing the rare gases in the periodic system. That the emanation actually has an atomic weight of these dimensions was confirmed by further experiments carried out by the late Sir William Ramsay and Dr. R. W. Gray.[106] These chemists determined the density of the emanation by actually weighing minute quantities of known volume of the substance, sealed up in small capillary tubes, a specially sensitive balance being employed. Values for the density varying from 108 to 1131/2, corresponding to values for the atomic weight varying from 216 to 227, were thereby obtained. Sir William Ramsay, therefore, considered that there could no longer be any doubt that the emanation was one of the elements of the group of chemically inert gases. He proposed to call it Niton, and, for reasons which we shall note later, considered that in all probability it had an atomic weight of about 2221/2. The Disintegration of the Radium Atom. § 90. Radium salts possess another very remarkable property, namely, that of continuously emitting light and heat. It seemed, at first, that here was a startling contradiction to the law of the conservation of energy, but the whole mystery becomes comparatively clear in terms of the corpuscular or the electronic theory of matter. The radium-atom is a system of a large number (see § 81) of corpuscles or electrons, and contains in virtue of their motion an enormous amount of energy. But it is known from Chemistry that atomic systems (i.e., molecules) which contain very much energy are unstable and liable to explode. The same law holds good on the more interior plane—the radium-atom is liable to, and actually does, explode. And the result? Energy is set free, and manifests itself partly as heat and light. Some free electrons are shot off (the -rays), which, striking the undecomposed particles of salt, give rise to pulses in the ether (the ?-rays),[107] just as the kathode particles give rise to X-rays when they strike the walls of the vacuum tube or a platinum disc placed in their path. The - and ?-rays do not, however, result immediately from the exploding radium-atoms, the initial products being the emanation and one a-particle from each radium-atom destroyed. “Induced Radioactivity.” § 91. Radium salts have the property of causing surrounding objects to become temporally radioactive. This “induced radioactivity,” as it may be called, is found to be due to the emanation, which is itself radioactive (it emits a-rays only), and is decomposed into minute traces of solid radioactive deposits. By examining the rate of decay of the activity of the deposit, it has been found that it is undergoing a series of sub-atomic changes, the products being termed Radium A, B, C, &c. It has been proved that all the - and ?-rays emitted by radium salts are really due to certain of these secondary products. Radium F is thought to be identical with Polonium (§ 87). Another product is also obtained by these decompositions, with which we shall deal later (§ 94). Properties of Uranium and Thorium. § 92. Uranium and thorium differ in one important respect from radium, inasmuch as the first product of the decomposition of the uranium and thorium atoms is in both cases solid. Sir William Crookes[108] was able to separate from uranium salts by chemical means a small quantity of an intensely radioactive substance, which he called Uranium X, the residual uranium having lost most of its activity; and M. Becquerel, on repeating the experiment, found that the activity of the residual uranium was slowly regained, whilst that of the uranium X decayed. This is most simply explained by the theory that uranium first changes into uranium X. It has been suggested that radium may be the final product of the breaking up of the uranium-atom; at any rate, it is quite certain that radium must be evolved in some way, as otherwise there would be none in existence—it would all have decomposed. This suggestion has been experimentally confirmed, the growth of radium in large quantities of a solution of purified uranyl nitrate having been observed. Uranium gives no emanation. Thorium probably gives at least three solid products—Meso-thorium, Radio-thorium, and Thorium X, the last of which yields an emanation resembling that obtained from radium, but not identical with it. The Radium Emanation. § 93. We must now more fully consider the radium emanation—a substance with more astounding properties than even the radium compounds themselves. By distilling off the emanation from some radium bromide, and measuring the quantities of heat given off by the emanation and the radium salt respectively, Professors Rutherford and Barnes[109] proved that nearly three-fourths of the total amount of heat given out by a radium salt comes from the minute quantity of emanation that it contains. The amount of energy liberated as heat during the decay of the emanation is enormous; one cubic centimetre liberates about four million times as much heat as is obtained by the combustion of an equal volume of hydrogen. Undoubtedly this must indicate some profound change, and one may well ask, What is the ultimate product of the decomposition of the emanation? The Production of Helium from Radium. § 94. It had been observed already that the radioactive minerals on heating give off Helium—a gaseous element, characterised by a particular yellow line in its spectrum—and it seemed not unlikely that helium might be the ultimate decomposition product of the emanation. A research to settle this point was undertaken by Sir William Ramsay and Mr. Soddy,[110] and a preliminary experiment having confirmed the above speculation, they carried out further very careful experiments. “The maximum amount of the emanation obtained from 50 milligrams of radium bromide was conveyed by means of oxygen into a U-tube cooled in liquid air, and the latter was then extracted by the pump.” The spectrum was observed; it “was apparently a new one, probably that of the emanation itself.... After standing from July 17 to 21 the helium spectrum appeared, and the characteristic lines were observed.” Sir William Ramsay performed a further experiment with a similar result, in which the radium salt had been first of all heated in a vacuum for some time, proving that the helium obtained could not have been occluded in it; though the fact that the helium spectrum did not immediately appear, in itself proves this point. Sir William Ramsay’s results were confirmed by further careful experiments by Sir James Dewar and other chemists. It was suggested, therefore, that the a-particle consists of an electrically charged helium-atom, and not only is this view in agreement with the value of the mass of this particle as determined experimentally, but it has been completely demonstrated by Professor Rutherford and Mr. Royds. These chemists performed an experiment in which the emanation from about one-seventh of a gramme of radium was enclosed in a thin-walled tube, through the walls of which the a-particles could pass, but which were impervious to gases. This tube was surrounded by an outer jacket, which was evacuated. After a time the presence of helium in the space between the inner tube and the outer jacket was observed spectroscopically.[111] Now, the emanation-atom results from the radium-atom by the expulsion of one a-particle; and since this latter consists of an electrically charged helium-atom, it follows that the emanation must have an atomic weight of 226 - 4, i.e., 222. This value is in agreement with Sir William Ramsay’s determination of the density of the emanation. We may represent the degradation of the radium-atom, therefore, by the following scheme:— | Radium-atom 226 | | a-particle (Helium-atom) 4 | | | ? | | | | | ? | Emanation (Niton-atom) 222 | ? | a-particle (Helium-atom) 4 | | | | ? | Radium-A, &c. | | |
Nature of this Change. § 95. Here, then, for the first time in the history of Chemistry, we have the undoubted formation of one chemical element from another, for, leaving out of the question the nature of the emanation, there can be no doubt that radium is a chemical element. This is a point which must be insisted upon, for it has been suggested that radium may be a compound of helium with some unknown element; or, perhaps, a compound of helium with lead, since it has been shown that lead is probably one of the end products of the decomposition of radium. The following considerations, however, show this view to be altogether untenable: (i.) All attempts to prepare compounds of helium with other elements have failed. (ii.) Radium possesses all the properties of a chemical element; it has a characteristic spectrum, and falls in that column in the Periodic Table with those elements which it resembles as to its chemical properties. (iii.) The quantity of heat liberated on the decomposition of the emanation is, as we have already indicated, out of all proportion to that obtained even in the most violent chemical reactions; and (iv.) one very important fact has been observed, namely, that the rate of decay of the emanation is unaffected by even extreme changes of temperature, whereas chemical actions are always affected in rate by changes of temperature. It will also be advisable, perhaps, to indicate some of the differences between helium and the emanation. The latter is a heavy gas, condensable to a liquid by liquid air (recently it has been solidified[112]); whereas helium is the lightest of all known gases with the exception of hydrogen and has been liquefied only by the most persistent effort.[113] The emanation, moreover, is radioactive, giving off a-particles, whereas helium does not possess this property. Is this Change a true Transmutation? § 96. It has been pointed out, however, that (in a sense) this change (viz., of emanation into helium) is not quite what has been meant by the expression “transmutation of the elements”; for the reason that it is a spontaneous change; no effort of ours can bring it about or cause it to cease.[114] But the fact of the change does go to prove that the chemical elements are not the discrete units of matter that they were supposed to be. And since it appears that all matter is radioactive, although (save in these exceptional cases) in a very slight degree,[115] we here have evidence of a process of evolution at work among the chemical elements. The chemical elements are not permanent; they are all undergoing change; and the common elements merely mark those points where the rate of the evolutionary process is at its slowest. (See also §§ 78 and 83.) Thus, the essential truth in the old alchemistic doctrine of the growth of metals is vindicated, for the metals do grow in the womb of Nature, although the process may be far slower than appears to have been imagined by certain of the alchemists,[116] and although gold may not be the end product. As writes Professor Sir W. Tilden: “... It appears that modern ideas as to the genesis of the elements, and hence of all matter, stand in strong contrast with those which chiefly prevailed among experimental philosophers from the time of Newton, and seem to reflect in an altered form the speculative views of the ancients.” “... It seems probable,” he adds, “that the chemical elements, and hence all material substances of which the earth, the sea, the air, and the host of heavenly bodies are all composed, resulted from a change, corresponding to condensation, in something of which we have no direct and intimate knowledge. Some have imagined this primal essence of all things to be identical with the ether of space. As yet we know nothing with certainty, but it is thought that by means of the spectroscope some stages of the operation may be seen in progress in the nebulÆ and stars....”[117] We have next to consider whether there is any experimental evidence showing it to be possible (using the phraseology of the alchemists) for man to assist in Nature’s work. The Production of Neon from Emanation. § 97. As we have already indicated above (§ 93), the radium emanation contains a vast store of potential energy, and it was with the idea of utilising this energy for bringing about chemical changes that Sir William Ramsay[118] undertook a research on the chemical action of this substance—a research with the most surprising and the most interesting results, for the energy contained within the radium emanation appeared to behave like a veritable Philosopher’s Stone. The first experiments were carried out on distilled water. It had already been observed that the emanation decomposes water into its gaseous elements, oxygen and hydrogen, and that the latter is always produced in excess. These results were confirmed and the presence of hydrogen peroxide was detected, explaining the formation of an excess of hydrogen; it was also shown that the emanation brings about the reverse change to some extent, causing oxygen and hydrogen to unite with the production of water, until a position of equilibrium is attained. On examining spectroscopically the gas obtained by the action of the emanation on water, after the removal of the ordinary gases, a most surprising result was observed—the gas showed a brilliant spectrum of neon, accompanied with some faint helium lines. A more careful experiment was carried out later by Sir William Ramsay and Mr. Cameron, in which a silica bulb was employed instead of glass. The spectrum of the residual gas after removing ordinary gases was successfully photographed, and a large number of the neon lines identified; helium was also present. The presence of neon could not be explained, in Ramsay’s opinion, by leakage of air into the apparatus, as the percentage of neon in the air is not sufficiently high, whereas this suggestion might be put forward in the case of argon. Moreover, the neon could not have come from the aluminium of the electrodes (in which it might be thought to have been occluded), as the sparking tube had been used and tested before the experiment was carried out. The authors conclude: “We must regard the transformation of emanation into neon, in presence of water, as indisputably proved, and, if a transmutation be defined as a transformation brought about at will, by change of conditions, then this is the first case of transmutation of which conclusive evidence is put forward.”[119] However, Professor Rutherford and Mr. Royds have been unable to confirm this result. They describe[120] attempts to obtain neon by the action of emanation on water. Out of five experiments no neon was obtained, save in one case in which a small air leak was discovered; and, since the authors find that very minute quantities of this gas are sufficient to give a clearly visible spectrum, they conclude that Ramsay’s positive results are due, after all, to leakage of air into the apparatus. But if this is the true explanation of Ramsay’s results, it is difficult to understand why, in the case of the experiment with a solution of a copper salt described below, the presence of neon was not detected, for, if due to leakage, the proportions of the rare gases present should presumably have been the same in all the experiments. Further research seems necessary conclusively to settle the question. [118] Sir William Ramsay: “The Chemical Action of the Radium Emanation. Pt. I., Action on Distilled Water,” Journal of the Chemical Society, vol. xci. (1907), pp. 931 et seq. Alexander T. Cameron and Sir William Ramsay, ibid. “Pt. II., On Solutions containing Copper, and Lead, and on Water,” ibid. pp. 1593 et seq. “Pt. III., On Water and Certain Gases,” ibid. vol. xciii. (1908), pp. 966 et seq. “Pt. IV., On Water,” ibid. pp. 992 et seq.[119] Journal of the Chemical Society, vol. xciii. (1908), p. 997.[120] E. Rutherford, F.R.S., and T. Royds, M.Sc.: “The Action of Radium Emanation on Water,” Philosophical Magazine [6], vol. xvi. (1908), pp. 812 et seq. Ramsay’s Experiments on Copper. § 98. The fact that an excess of hydrogen was produced when water was decomposed by the emanation suggested to Sir William Ramsay and Mr. Cameron that if a solution of a metallic salt was employed in place of pure water, the free metal might be obtained. These “modern alchemists,” therefore, proceeded to investigate the action of radium emanation on solutions of copper and lead salts, and again apparently effected transmutations. They found on removing the copper from a solution of a copper-salt which had been subjected to the action of the emanation, and spectroscopically examining the residue, that a considerable quantity of sodium was present, together with traces of lithium; and the gas evolved in the case of a solution of copper nitrate contained, along with much nitric oxide and a little nitrogen, argon (which was detected spectroscopically), but no helium. It certainly seemed like a dual transformation of copper into lithium and sodium, and emanation into argon. They also observed that apparently carbon-dioxide is continually evolved from an acid solution of thorium nitrate (see below, § 100). It is worth while noticing that helium, neon and argon occur in the same column in the Periodic Table with emanation; lithium and sodium with copper, and carbon with thorium; in each case the elements produced being of lighter atomic weight than those decomposed.[121] The authors make the following suggestions: “(1) That helium and the a-particle are not identical; (2) that helium results from the ‘degradation’ of the large molecule of emanation by its bombardment with a-particles; (3) that this ‘degradation,’ when the emanation is alone or mixed with oxygen and hydrogen, results in the lowest member of the inactive series, namely, helium; (4) that if particles of greater mass than hydrogen or oxygen are associated with the emanation, namely, liquid water, then the ‘degradation’ of the emanation is less complete, and neon is produced; (5) that when molecules of still greater weight and complexity are present, as is the case when the emanation is dissolved in a solution of copper sulphate, the product of ‘degradation’ of the emanation is argon. We are inclined to believe too [they say] that (6) the copper also is involved in this process of degradation, and is reduced to the lowest term of its series, namely, lithium; and at the same time, inasmuch as the weight of the residue of alkali, produced when copper nitrate is present, is double that obtained from the blank experiment, or from water alone, the supposition is not excluded that the chief product of the ‘degradation’ of copper is sodium.”[122] Further Experiments on Radium and Copper. § 99. A little later Madame Curie and Mademoiselle Gleditsch[123] repeated Cameron and Ramsay’s experiments on copper salts, using, however, platinum apparatus. They failed to detect lithium after the action of the emanation, and think that Cameron and Ramsay’s results may be due to the glass vessels employed. Dr. Perman[124] has investigated the direct action of the emanation on copper and gold, and has failed to detect any trace of lithium. The transmutation of copper into lithium, therefore, must be regarded as unproved, but further research is necessary before any conclusive statements can be made on the subject. Ramsay’s Experiments on Thorium and allied Metals. § 100. In his presidential address to the Chemical Society, March 25, 1909, after having brought forward some exceedingly interesting arguments for the possibility of transmutation, Sir William Ramsay described some experiments which he had carried out on thorium and allied elements.[125] It was found, as we have already stated (§ 98), that, apparently, carbon-dioxide was continually evolved from an acid solution of thorium nitrate, precautions being taken that the gas was not produced from the grease on the stop-cock employed, and it also appeared that carbon-dioxide was produced by the action of radium emanation on thorium nitrate. The action of radium emanation on compounds (not containing carbon) of other members of the carbon group, namely, silicon, zirconium and lead, was then investigated; in the cases of zirconium nitrate and hydro-fluosilicic acid, carbon-dioxide was obtained; but in the case of lead chlorate the amount of carbon dioxide was quite insignificant. Curiously enough, the perchlorate of bismuth, a metal which belongs to the nitrogen group of elements, also yielded carbon-dioxide when acted on by emanation. Sir William Ramsay concludes his discussion of these experiments as follows: “Such are the facts. No one is better aware than I how insufficient the proof is. Many other experiments must be made before it can confidently be asserted that certain elements, when exposed to ‘concentrated energy,’ undergo degradation into carbon.” Some such confirmatory experiments were carried out by Sir William Ramsay and Mr. Francis L. Usher, and they also described an experiment with a compound of titanium. Their results confirm Sir William Ramsay’s former experiments. Carbon-dioxide was obtained in appreciable quantities by the action of emanation on compounds of silicon, titanium, zirconium and thorium. In the case of lead, the amount of carbon dioxide obtained was inappreciable.[126] The Possibility of Making Gold. § 101. It does not seem unlikely that if it is possible to “degrade” elements, it may be possible to build them up. It has been suggested that it might be possible to obtain, in this way, gold from silver, since these two elements occur in the same column in the Periodic Table; but the suggestion still awaits experimental confirmation. The question arises, What would be the result if gold could be cheaply produced? That gold is a metal admirably adapted for many purposes, for which its scarcity prevents its use, must be admitted. But the financial chaos which would follow if it were to be cheaply obtained surpasses the ordinary imagination. It is a theme that ought to appeal to a novelist of exceptional imaginative power. However, we need not fear these results, for not only is radium extremely rare, far dearer than gold, and on account of its instability will never be obtained in large quantities, but, judging from the above-described experiments, if, indeed, the radium emanation is the true Philosopher’s Stone, the quantity of gold that may be hoped for by its aid is extremely small. The Significance of “Allotropy.” § 102. A very suggestive argument for the transmutation of the metals was put forward by Professor Henry M. Howe, LL.D., in a paper entitled “Allotropy or Transmutation?” read before the British Association (Section B), Sheffield Meeting, 1910. Certain substances are known which, although differing in their physical properties very markedly, behave chemically as if they were one and the same element, giving rise to the same series of compounds. Such substances, of which we may mention diamond, graphite and charcoal (e.g., lampblack)—all of which are known chemically as “carbon”—or, to take another example, yellow phosphorus (a yellow, waxy, highly inflammable solid) and red phosphorus (a difficultly-inflammable, dark red substance, probably possessing a minutely crystalline structure), are, moreover, convertible one into the other.[127] It has been customary to refer to such substances as different forms or allotropic modifications of the same element, and not to regard them as being different elements. As Professor Howe says, “If after defining ‘elements’ as substances hitherto indivisible, and different elements as those which differ in at least some one property, and after asserting that the elements cannot be transmuted into each other, we are confronted with the change from diamond into lampblack, and with the facts, first, that each is clearly indivisible hitherto and hence an element, and, second, that they differ in every property, we try to escape in a circle by saying that they are not different elements because they do change into each other. In short, we limit the name ‘element’ to indivisible substances which cannot be transmuted into each other, and we define those which do transmute as ipso facto one element, and then we say that the elements cannot be transmuted. Is not this very like saying that, if you call a calf’s tail a leg, then a calf has five legs? And if it is just to reply that calling a tail a leg does not make it a leg, is it not equally just to reply that calling two transmutable elements one element does not make them so? “Is it philosophical to point to the fact that two such transmutable elements yield but a single line of derivatives as proof that they are one element? Is not this rather proof of the readiness, indeed irresistibleness, of their transmutation? Does not this simply mean that the derivativeless element, whenever it enters into combination, inevitably transmutes into its mate which has derivatives?”[128] According to the atomic theory the differences between what are termed “allotropic modifications” are generally ascribed to differences in the number and arrangement of the atoms constituting the molecules of such “modifications,” and not to any differences in the atoms themselves. But we cannot argue that two such “allotropic modifications” or elements which are transmutable into one another are one and the same element, because they possess the same atomic weight, and different elements are distinguished by different atomic weights; for the reason that, in the determination of atomic weights, derivatives of such bodies are employed; hence, the value obtained is the atomic weight of the element which forms derivatives, from which that of its derivativeless mate may differ considerably for all we know to the contrary, if we do, indeed, regard the atomic weights of the elements as having any meaning beyond expressing the inertia-ratios in which they combine one with another. If we wish to distinguish between two such “allotropic modifications” apart from any theoretical views concerning the nature and constitution of matter, we can say that such “modifications” are different because equal weights of them contain, or are equivalent to, different quantities of energy,[129] since the change of one “form” to another takes place only with the evolution or absorption (as the case may be) of heat.[130] But, according to modern views regarding the nature of matter, this is the sole fundamental difference between two different elements—such are different because equal weights of them contain or are equivalent to different quantities of energy. The so-called “allotropic modifications of an element,” therefore, are just as much different elements as any other different elements, and the change from one “modification” to another is a true transmutation of the elements; the only distinction being that what are called “allotropic modifications of the same element” differ only slightly in respect of the energy they contain, and hence are comparatively easy to convert one into the other, whereas different elements (so called) differ very greatly from one another in this respect, whence it is to be concluded that the transmutation of one such element into another will only be attained by the utilisation of energy in a very highly concentrated form, such as is evolved simultaneously with the spontaneous decomposition of the radium emanation. Conclusion. § 103. We have shown that modern science indicates the essential truth of alchemistic doctrine, and our task is ended. Writing in 1904, Sir William Ramsay said: “If these hypotheses [concerning the possibility of causing the atoms of ordinary elements to absorb energy] are just, then the transmutations of the elements no longer appears an idle dream. The philosopher’s stone will have been discovered, and it is not beyond the bounds of possibility that it may lead to that other goal of the philosophers of the dark ages—the elixir vitÆ. For the action of living cells is also dependent on the nature and direction of the energy which they contain; and who can say that it will be impossible to control their action, when the means of imparting and controlling energy shall have been investigated?”[131] Whatever may be the final verdict concerning his own experiments, those of Sir Ernest Rutherford, referred to in the Preface to the present edition, demonstrate the fact of transmutation; and it is worth noticing how many of the alchemists’ obscure descriptions of their Magistery well apply to that marvellous something which we call Energy, the true “First Matter” of the Universe. And of the other problem, the Elixir VitÆ, who knows? THE END. Printed in Great Britain by UNWIN BROTHERS, LIMITED WOKING AND LONDON Works by H. STANLEY REDGROVE, B.Sc. (Lond.), F.C.S. ON THE CALCULATION OF THERMO-CHEMICAL CONSTANTS. (Arnold, 1909, 6s. net.) MATTER, SPIRIT AND THE COSMOS: Some Suggestions towards a better Understanding of the Whence and Why of their Existence. (Rider, Popular Edition, 1916, 1s. net.) A MATHEMATICAL THEORY OF SPIRIT. Being an Attempt to employ certain Mathematical Principles in the Elucidation of some Metaphysical Problems. (Rider, 1912, 2s. 6d. net.) EXPERIMENTAL MENSURATION. An Elementary Text-Book of Inductive Geometry. (Heinemann, 1912, 2s. 6d. net.) THE MAGIC OF EXPERIENCE. A Contribution to the Theory of Knowledge. With an Introduction by Sir William F. Barrett, F.R.S. (Dent, 1916. Out of print.) BYGONE BELIEFS. A Series of Excursions in the Byways of Thought. (Rider, 1920, 10s. 6d. net.) PURPOSE AND TRANSCENDENTALISM. An Exposition of Swedenborg’s Philosophical Doctrine in Relation to Modern Thought. (Kegan Paul, 1920, 5s. net.) ROGER BACON, the Father of Experimental Science, and MediÆval Occultism. (Rider, 1920, 1s. 6d. net.) INDUSTRIAL GASES, together with the Liquefaction of Gases. 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