國立臺灣大學物理系所Hwang, Jenn-LinJenn-LinHwang黃振麟2006-09-272018-06-282006-09-272018-06-281964-04http://ntur.lib.ntu.edu.tw//handle/246246/2006092712003347674The 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.application/pdf126481 bytesapplication/pdfzh-TWjournal articlehttp://ntur.lib.ntu.edu.tw/bitstream/246246/2006092712003347674/1/028.pdf