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The interpolation of atomic wave functions

Published online by Cambridge University Press:  24 October 2008

D. R. Hartree
Affiliation:
Cavendish LaboratoryCambridge

Abstract

If nl is the mean radius for the radial wave function of a complete (nl) group in an atom of atomic number N, the variation of 1/nl with N is nearly linear. Further the variation of a given (nl) radial wave function with N is such that for a given value of (r/r̄nl), the variation of the quantity (nl)½P(nl; r) with nl is nearly linear. These relations between the radial wave functions for different atoms are examined from the point of view of using them as a means of interpolating, with respect to atomic number, between results for atoms for which solutions of Fock's equations have been carried out.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1955

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References

REFERENCES

(1)Bohr, N. and Coster, D.Z. Phys. 12 (1923), 342.CrossRefGoogle Scholar
(2)Condon, E. U. and Shortley, G. H.Theory of atomic spectra (Cambridge, 1935).Google Scholar
(3)Garstang, R. H.Astrophys. J. 115 (1952), 506.CrossRefGoogle Scholar
(4)Hartree, D. R. and W., Proc. roy. Soc. A, 166 (1938), 450.Google Scholar
(5)Hartree, D. R.Rep. Progr. Phys. 11 (1948), 113.Google Scholar
(6)Hartree, D. R.Proc. Camb. phil. Soc. 51 (1955), 126.CrossRefGoogle Scholar
(7)Löwdin, P.-O.Phys. Rev. (2), 94 (1954), 1600.CrossRefGoogle Scholar
(8)Ridley, E. C.Proc. Camb. phil. Soc. 51 (1955), 693.CrossRefGoogle Scholar
(9)White, H. E.Introduction to atomic spectra (New York, 1934).Google Scholar