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X.—Note on the Electron Configurations p2s, p4s

Published online by Cambridge University Press:  15 September 2014

Robert Schlapp
Robert Schlapp
Affiliation:
University of Edinburgh
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Extract

In his original paper on the theory of complex spectra Slater (1929) calculated, as one of his examples, the relative positions of the multiplets 3P, 1D, 1S, arising from a configuration of two equivalent p electrons p2. The intervals between these multiplets, in the order written, were found to be in the ratio of 2:3. The same result was shown to hold for p4. Slater's method depends on setting up wave-functions for the atom by combining suitably the wave-functions of single electrons in a central field. With these atomic wave-functions the mean values of the electrostatic energy are calculated for the various multiplets. These mean values involve integration over angular co-ordinates, which can be performed, as well as integrations containing the unknown radial functions, which appear as parameters in the final result. The same method was subsequently applied (Condon and Shortley, 1931) to the configurations p2s, p4s, and extended (Johnson, 1932) to include in addition to the electrostatic energy the energy of the magnetic interaction between the orbits and spins, with which Slater was not concerned.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 54 , 1935 , pp. 109 - 114
Copyright
Copyright © Royal Society of Edinburgh 1935

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References

References to Literature

Bacher, R. F., and Goudsmit, S., 1932. Atomic Energy Levels, New York and London.Google Scholar
Condon, E. U., and Shortley, G. H., 1931. “The Theory of Complex Spectra,” Phys. Rev., vol. xxxvii, p. 1025.CrossRefGoogle Scholar
Dirac, P. A. M., 1930. The Principles of Quantum Mechanics, Oxford.Google Scholar
Goudsmit, S., 1930. “An Extension of Houston's and Slater's Multiplet Relations,” Phys. Rev., vol. xxxv, p. 1325.CrossRefGoogle Scholar
Johnson, M. H., 1932. “The Theory of Complex Spectra,” Phys. Rev., vol. xxxix, p. 197.CrossRefGoogle Scholar
Pauling, L., and Goudsmit, S., 1930. The Structure of Line Spectra, New York and London.Google Scholar
Slater, J. C., 1929. “The Theory of Complex Spectra,” Phys. Rev., vol. xxxiv, p. 1293.CrossRefGoogle Scholar
Van Vleck, J. H., 1932. The Theory of Electric and Magnetic Susceptibilities, Oxford.Google Scholar
Van Vleck, J. H., 1934. “The Dirac Vector Model in Complex Spectra,” Phys. Rev., vol. xlv, p. 405.CrossRefGoogle Scholar