Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Solution of the Thomas-Fermi-Dirac Equation with a Modified Weizsäcker Correction
Yasuo TomishimaKatsumi Yonei
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1966 年 21 巻 1 号 p. 142-153

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According to the result obtained in a previous paper (J. Phys. Soc. Japan 20 (1965) 1051), the Weizsäcker correction is introduced into the TFD theory with a constant weighting factor λ(=0.2) and this extended statistical equation is solved for the electron distribution of the inert gas atoms Ne, Ar, Kr and Xe.
The values of the total energy calculated on this basis agree very well to the Hartree-Fock values. The diamagnetic susceptibilities, however, still have a poor coincidence although the present model gives definitely better results compared to the simple TF or TFD theory. One electron energy values or the occupied states in Kr atom are also calculated by the Bohr-Sommerfeld quantization condition.
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