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XX.—Bands in Hydrogen Related to the Fulcher System

Published online by Cambridge University Press:  15 September 2014

Ian Sandeman
Ian Sandeman
Affiliation:
University of St Andrews
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Summary

The 33S→23S system of Richardson and Das is extended, the band previously given as the null band (00) now being taken as (20), while two additional vibrational levels are added on the infra-red side. An analysis of the system based on the new mechanics is given, and various tests are applied to prove the correctness of the new arrangement. A Table giving the constants of the 23S and 33S states is appended.

My thanks are due to Professor H. Stanley Allen of St Andrews for encouragement and helpful criticisms.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 49 , 1930 , pp. 245 - 255
Copyright
Copyright © Royal Society of Edinburgh 1930

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References

page 245 note * Richardson, O. W. and Das, K., Roy. Soc. Proc., A, vol. cxxii, p. 688 (1929).CrossRefGoogle Scholar

page 245 note † Sandeman, I., Proc. Boy. Soc. Edin., vol. xlix, p. 48 (1929).Google Scholar

page 245 note ‡ Gale, H. G., Monk, G. S., and Lee, K. O., Astrophys. Journ., vol. lxvii, p. 89 (1928).CrossRefGoogle Scholar

page 245 note § The question of whether the multiplicity 3 of the state 3S has been correctly assigned is of small moment, since it is desirable to have a convenient label, such as 3S, to distinguish these states from the 1S systems, some of which have recently been analysed accurately, in the ultra-violet by Hyman and Birge and in the visible by Richardson and Davidson. Mecke and Finkelnburg (Die Naturwissenschaften, April 1929) claim to have detected triplet structure in the initial 3P states of the Fulcher Bands, but not in the final 3S state.

page 246 note * Allibone, T. E., Roy. Soc. Proc., A, vol. cxii, p. 196 (1926).CrossRefGoogle Scholar

page 246 note † Poettker, A. H., Phys. Rev., vol. xxx, p. 418 (1927).CrossRefGoogle Scholar

page 247 note * Believed to be unresolved.

page 249 note * I. Sandeman, loc. cit.

page 250 note * Sandeman, I., Nature, vol. cxxiii, p. 410 (1929).CrossRefGoogle Scholar

page 250 note † Mulliken, R. S., Phys. Rev., vol. xxxii, p. 388 (1928).CrossRefGoogle Scholar Mulliken's method, given in a footnote to Table I of his paper, is primarily intended for bands of multiplicity 2, but can be extended by making the necessary changes to bands of odd multiplicity.

page 252 note * National Research Council Report on Molecular Spectra in Gases, p. 233 (1926).Google Scholar

page 253 note * See Loomis, and Wood, , Phys. Rev., vol. xxxii, p. 234 (1928).Google Scholar This rule, like that of Mecke, must be described in the words of Loomis and Wood as “semi-empirical.” It should also be noted that these tests refer to the old mechanics. In the present paper the notation refers throughout to the old mechanics, except where the application of the new mechanics to the term form F(j) is considered. The writer's analysis shows the differences between vibrational levels and the B constants to the first two decimal places to be to all intents numerically identical when calculated on either mechanics.

page 253 note † E. Condon, ibid., vol. xxviii, p. 1182 (1926).

page 255 note * Birge, R. T., Proc. Nat. Acad. Sci., vol. xiv, p. 12 (1928).CrossRefGoogle Scholar Mecke and Finkelnburg (loc. cit.) give the value of Ee for 23S as 90083, based on their identification of the Lyman Bands with the transition 23S→11S. Their values of ω0 and ω0x are also consequently smaller. As their work is not yet published, the value of Birge is retained pending the establishment of their hypothesis.

For the purpose of reckoning the quantity Ee for the 33S state the null line of the band 0→0 has been taken as 11607·4, since the value 11605·7 given in Table IV has to be increased by ½(B0″ — B0′) = 1·7 to bring it into true accord with the old mechanics.