[16] Ann. d. Phys. xl. p. 368, xli. p. 403, xlii. p. 210 (1913).
[17] Ann. d. Phys. xl. p. 748 (1913).
[18] ‘Æther and Matter,’ Cambridge, 1900, p. 341.
[19] Ann. de Chim. et de Phys. v. p. 70 (1905). In this connexion it may be remarked that on the present theory the rotation will give rise to diamagnetism only, since the kinetic energy of the electrons in the stationary states cannot be transferred into heat motion such as is supposed by Langevin in his theory of magnetism. This conclusion seems consistent with experiments which show that the monatomic gases helium and argon are diamagnetic (see P. Tanzler, Ann. d. Phys. xxiv. p. 931 (1907)), although the structure of these atoms, proposed in my former paper, was of a type which on Langevin’s theory should show paramagnetism.
[20] See Fr. Croze, Journ. de Phys. iii. p. 882 (1913).
[21] Note added during the proof.—In Phys. Zeitschr. of Feb. 15, K. Herzfeld has discussed in detail the different possibilities of the effect of a magnetic field which might be expected on the theory of the hydrogen spectrum proposed by the writer. His conclusions are equivalent with those obtained above. In addition he considers the effect of terms proportional to the square of the magnetic force and shows that in a strong magnetic field these terms may be expected to have an appreciable influence on the magnetic resolution of the hydrogen lines corresponding to high numbers in the Balmer series. This is a consequence of the large orbits of the electron in the stationary states corresponding to high values of
.
[22] The lines of the ordinary hydrogen spectrum from a vacuum-tube also appear as close doublets with high dispersion. Considering, however, the want of sharpness of the lines and the discrepancies between the distance of components found by different observers, it seems probable that the lines are not true doublets, but are due to an effect of the electric field in the discharge. This is also indicated by the fact that the distance between the components observed increases with the number of the line, contrary to the behaviour of ordinary double lines. The distance between the components observed by Paschen and Back (loc. cit.) was
