Angular Momentum Distributions in the Thomas-Fermi and Thomas-Fermi-Dirac Models of the Atom
Resource
CHINESE JOURNAL OF PHYSICS 2(1),28-31
Journal
CHINESE JOURNAL OF PHYSICS 2
Pages
28-31
Date Issued
1964-04
Date
1964-04
Author(s)
Hwang, Jenn-Lin
DOI
2006092712003347674
Abstract
The angular momentum distributions in the Thomas-Fermi and Thomas-Fermi-Dirac
models of the atom are calculated by an ™i mproved method proposed previously.
The maximum energy (El),== 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),n,, and, therefore, the number of electrons rzl for a given
angular momentum state 2 is greatly facilitated by the term values computed by
Latter; The calculated angular momentum distributions are checked with the dia-grams
of term values against Z given in the Latter ™s paper to assure that our.pro-posed
method prouduces no appreciable error. .
Comparing with the empirical data, we then tind 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.
Type
journal article
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