Approximate binding energies of inner electrons in atoms by the WKB method

T.Tsang

Department of Chemistry, University of Chicago, Chicago 37, Illinois, USA

Received 10 October 1959, Available online 9 June 2004.

Abstract

Near the nucleus, the effective nuclear charge is approximately a parabolic function of the radius. Based on the WKB method modified by Langer using a least square parabolic fit of the Thomas-Fermi potential, the approximate binding energies of inner electrons may be expressed as a function of the atomic number, principal and orbital quantum numbers. Comparison with results using the more precise Hartree method indicates that the accuracy of this method is comparable to that of the numerical calculations by Latter using the Thomas-Fermi potential directly.

https://sci-hub.tw/https://doi.org/10.1016/0031-8914(59)90043-6