Angular Momentum Distributions in the Thomas-Fermi and Thomas-Fermi-Dirac Models of the Atom

黃振麟(Jenn-Lin Hwang)

《Chinese Journal of Physics》 2卷1期 (1964/04) Pp. 28-31

並列摘要

The angular momentum distributions in the Thomas-Fermi and Thomas-Fermi- Dirac models of the atom are calculated by an improved method proposed previously. The maximum energy (El) max for a given orbital angular momentum state is not neglected and is treated as an eigenvalue by the WKB method.The effective central field potentials in terms of the universal approximate Thomas-Fermi function proposed by Latter are utilized. The determination of the maximum energy (El) max and, therefore, the number of electrons nl for a given angular momentum state l is greatly facilitated by the term values computed by Latter; The calculated angular momentum distributions are checked with the diagrams of term values against Z given in the Latter's paper to assure that our proposed method prouduces no appreciable error.Comparing with the empirical data, we then find that the accuracy of the Thomas-Fermi-Dirac model is far better than that of the Thomas-Fermi model. The prediction of the first appearance of the s, p, d and f electrons by the Thomas-Fermi-Dirac model is almost perfectly exact.