chemical identity. The most obstinate cases of similarity previously known, among the rare earths, for example, cannot be compared with them. In all cases, radioactive methods afford the most delicate means for detecting the least alteration in the concentration of the constituents, and the most prolonged and careful attempts fail to produce a detectable separation. At my request, Fleck undertook in my laboratory a systematic chemical examination of all the members of the series still imperfectly characterised, from the point of view of first finding which known element they most resembled and then finding whether or not they could be separated from that element. His researches were the means of finally unmasking the extreme simplicity and profound theoretical significance of the process of radioactive change. All the members of the series so far chemically uncharacterised he found to be chemically non-separable from one or other of the known elements, mesothorium-2 from actinium, radium-A from polonium, the three B-members and radium-D from lead, the three C-members and radium-E from bismuth, actinium-D and thorium-D from thallium. RADIOACTIVE CHANGE AND THE PERIODIC LAW. In February, 1913, K. Fajans in Germany, from electrochemical evidence, and in this country A. S. Russell and I, independently, from Fleck's work, pointed out the complete generalisation which connects chemical character and radioactive change. In addition to the shift of two places in the periodic table caused by the expulsion of the a-particle, it was now clear that the expulsion of the B-particle caused a shift of one place in the opposite direction. Since the a-particle carries two atomic charges of positive ISOTOPES AND HETEROTOPES 131 electricity and the B-particle one atomic charge of negative electricity, the successive places in the periodic table must thus correspond with unit difference of charge in the atomic structure, a conclusion reached later for the whole periodic table, as far as aluminium, as the result of Moseley's investigations on the frequency of Barkla's characteristic X-radiations of the elements. The non-separable elements, with identical chemical character, on this scheme were found all to occupy the same place in the periodic table, and on this account I named them isotopes. Conversely, the different elements recognised by chemical analysis should be termed "heterotopes," that is, substances occupying separate places in the periodic table, but themselves mixtures, actually proved or potential, of different isotopes, not necessarily homogeneous as regards atomic weight and radioactive character, but homogeneous as regards chemical and spectroscopic character, and also physical character, so far as that is not directly dependent on atomic mass. SPECTRA OF ISOTOPES. As regards the spectrum, the first indication that chemically non-separable elements probably possessed identical spectra arose out of the failure of Russell and Rossi and of Exner and Haschek in 1912 to detect any lines other than those of thorium in the spectrum of ionium-thorium preparations that might reasonably be supposed to contain an appreciable, if not considerable, percentage of ionium. The work of Hönigschmid on the atomic weight of ionium-thorium preparations has fully confirmed this view. The isotopes of lead of different atomic weight separated from uranium and thorium minerals have been found to possess identical spectra. For this element, lead, Rutherford and Andrade have shown that the secondary y-radiation excited by the impact of B-rays on a block of ordinary lead gave by crystal reflection two lines identical in wave-length with the two strongest lines in the y-ray spectrum of radium-B, an isotope of lead, as Fleck showed, of atomic weight 214. This is of importance as indicating that X-rays and y-rays, although no doubt originating in a deeper region of the atom than the ordinary light spectrum, do not originate in the deepest region of all to which the weight of an atom and its radioactive properties are to be referred. DESCRIPTION OF THE FIGURE. The generalisation, brought up to date, is set forth in detail in the Tables on p. 134 and is illustrated by the accompanying figure, which is to be read at an angle of 45°, making the lines of atomic weight horizontal and the division between the successive places in the periodic table vertical. Starting from uranium and thorium, the series run in an alternating course across the table and extend over the last twelve places as far as the element thallium. At this point, it is interesting to note that the expulsion of an a- instead of a B-particle would have resulted in the production of an isotope of gold, and so literally have realised the goal of the alchemist. As it happens, a B-particle is expelled and lead results, so far as the changes have yet been traced, in all cases as the final product. It has been necessary, in order to separate the series from one another, to displace the actinium series to the right and the radium series to the left of the centre of the places, but this displacement within the single place is not intended to express DESCRIPTION OF THE FIGURE 133 any physical significance; but for the fact that many members would be superimposed, they would all be represented in the centre of the places. The periods of average life, which are always 1.443 times the periods of half-change, are shown for each member above or below its symbol, a ? indicating that the period is estimated indirectly from the Geiger-Nuttall relation. The figures at the head of each place represent the atomic numbers or number of the place in the periodic table, starting with hydrogen as unity, helium as 2, lithium as 3, and so on. Moseley found that the square-root of the frequency of the characteristic X-radiation of an element was, for the K-series of radiations, proportional to integers less by one than the atomic numbers. Strictly speaking, there is no means of determining the absolute value of the atomic number, but the starting point having been fixed for any one element, the others can then be found in terms of it. Moseley assumed the atomic number of aluminium as 13, as it is the thirteenth known element in the list starting with hydrogen as unity. It is unlikely that any new elements will be discovered between hydrogen and aluminium, although if they were it would be necessary to alter the whole of the subsequent atomic numbers to correspond. For X-radiations of the other series, the square-roots of the frequencies are not proportional to integers even, although the differences are nearly integral for successive elements in the periodic table. The actual numbers in the figure, 92 for uranium, for example, are derived from the assumption that the atomic number of aluminium is 13, but it is well to remember that, although relatively to one another based on experimental evidence, the absolute value is to some extent arbitrary. T I. URANIUM, RADIUM, AND ACTINIUM SERIES. Period of Average Life. 8,000,000,000 years 35.5 days 1.65 minutes Ekatantalum 3,000,000 years (?) Uranium 100,000 years Thorium Uranium-Y 2440 years Radium Ekatantalum 5.55 days 4.3 minutes 38.5 minutes 28.1 minutes I/1,000,000th sec. (?) Emanation Actinium Polonium Radioactinium Lead Actinium-X [At either Uranium-/ or Uranium-II the series branches, and 8% of the total number of atoms disintegrating, follow the branch Actinium series.] Bismuth Polonium 24 years 7.2 days 196 days Lead Bismuth Actinium-D Polonium End Product [either 206 α a В a В 5.6 seconds 0.003 second 52.1 minutes Radium Emanation ∞ Lead [At Radium-C, 0.03% of the atoms follow the branch series.] Radium-C ... 5.25 days Radium 78 seconds Emanation 0.2 second Polonium [At Thorium-C, 35% of the atoms follow the branch series.] 15.4 hours β (65%) 87 minutes Lead Bismuth Thorium-C Thorium-C' 212 1/100,000,000,000th sec. (?) Polonium End Product 208 ... ∞ Lead |