Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-24T16:10:35.075Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of configuration interaction on the low terms of the spectra of oxygen

Published online by Cambridge University Press:  24 October 2008

D. R. Hartree  and
Bertha Swirles
D. R. Hartree
Affiliation:
St John's College
Bertha Swirles
Affiliation:
Girton College
Get access Rights & Permissions [Opens in a new window]

Extract

The ratios of the inter-multiplet separations for the lowest states of O, O+ and O++ obtained by Slater's method depart considerably from the observed values. In this method it is assumed that matrix elements of the Hamiltonian involving two different configurations are negligible, so that each state can be described by a single configuration, whereas these matrix elements are probably appreciable, and a better approximation is obtained by use of a wave function corresponding to a superposition of more than one configuration. The effect of this superposition of configurations has been called “configuration interaction”, and the general theory of it is discussed in Condon and Shortley's Theory of atomic spectra, Chap. xv. It is shown that it occurs only between terms of the same L and S, and of the same parity (∑l even or odd). Few quantitative applications, however, have yet been made. A calculation by Bacher for Mg shows that the effect can be considerable although the states are quite widely separated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 2 , April 1937 , pp. 240 - 249
Copyright
Copyright © Cambridge Philosophical Society 1937

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Phys. Rev. 34 (1929), 1293.Google Scholar

† Phys. Rev. 43 (1933), 264.Google Scholar

‡ Proc. Roy. Soc. A, 139 (1933), 311.Google Scholar

* Cf. Peierls, R., Ann. d. Phys. 4 (1930), 121;CrossRefGoogle ScholarNeumann, J. v. and Wigner, E., Phys. Zeit. 30 (1929), 467.Google Scholar Also Condon and Shortley, op. cit., chap. ii, § 11, p. 41.

† Loc. cit.

* Phys. Rev. 38 (1931), 248.Google Scholar See also Condon and Shortley, op. cit. p. 226.

† Cf. Condon and Shortley, op. cit. chap. iii, § 4.

† Cf. Waller, I. and Hartree, D. R., Proc. Roy. Soc. A, 124 (1929), 119.CrossRefGoogle Scholar

† Loc. cit. p. 1312.