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VII.—The Mathematical Representation of the Energy Levels of the Secondary Spectrum of Hydrogen.—III

Published online by Cambridge University Press:  15 September 2014

Ian Sandeman
Ian Sandeman
Affiliation:
University of St Andrews
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Extract

In a recent communication (Sandeman, 1935) some problems arising out of the attempt to obtain accurate values of the molecular constants in applying the results of the wave mechanics to the secondary spectrum of hydrogen have been discussed, and an analysis of the two molecular states Is2s3∑ and Is2p1∑ on the basis of Dunham's (1932) solution of the Schrödinger equation for the molecular rotating vibrator has been carried out and compared with the previous calculations of Richardson and Davidson and Richardson and Das. In the present paper an analysis of the ground state (IsIs1∑) of the hydrogen molecule—made possible by recent advances in the measurement and allocation of the band lines —has been attempted. For comparison a similar analysis of the ground state of the molecular ion H2+(Is2∑) is included. Although the spectrum of the molecular ion is not known, the fact that the variables in the Schrödinger equation are separable enables an analysis to be built up from theoretical considerations.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 55 , 1936 , pp. 72 - 84
Copyright
Copyright © Royal Society of Edinburgh 1936

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References

References to Literature

Clark, C. H. D., 1934. “The Relation between Vibration Frequency and Nuclear Separation for some simple Non-Hydride Diatomic Molecules,” Phil. Mag., vol. xviii, p. 459.CrossRefGoogle Scholar
Dunham, J. L., 1932. “The Wentzel-Brillouin-Kramers Method of Solving the Wave Equation,” Phys. Rev., vol. xli, p. 713; “The Energy Levels of a Rotating Vibrator,” Phys. Rev., p. 721.CrossRefGoogle Scholar
Hylleraas, E. A., 1931. “Über die Elektronenterme des Wasserstoffmoleküls,” Zeits. Phys., Bd. lxxi, p. 739.CrossRefGoogle Scholar
Jaffé, G., 1934. “Zur Theorie des Wasserstoffmolekülions,” Zeits. Phys., Bd. lxxxvii, p. 535.CrossRefGoogle Scholar
Jeppesen, C. R., 1933. “The Emission Spectrum of Molecular Hydrogen in the Extreme Ultraviolet,” Phys. Rev., vol. xliv, p. 165.CrossRefGoogle Scholar
Morse, P. M., 1929. “Diatomic Molecules according to the Wave Mechanics. II. Vibrational Levels,” Phys. Rev., vol. xxxiv, p. 57.CrossRefGoogle Scholar
Rasetti, F., 1929. “Incoherent Scattered Radiation in Diatomic Molecules,” Phys. Rev., vol. xxxiv, p. 367.CrossRefGoogle Scholar
Richardson, O. W., 1934. Molecular Hydrogen and its Spectrum, Yale University Press.Google Scholar
Sandeman, I., 1935. “The Mathematical Representation of the Energy Levels of the Secondary Spectrum of Hydrogen.—II,” Proc. Roy. Soc. Edin., vol. lv, 1935, pp. 49–61.Google Scholar
Wilson, A. H., 1928. “A Generalised Spheroidal Wave Equation,” Proc. Roy. Soc., A, vol. cxviii, p. 617.; “The Ionised Hydrogen Molecule,” Proc. Roy. Soc., p. 637.Google Scholar