Analytical solution of the Thomas-Fermi equation with the amaldi correction for ions
✍ Scribed by I. K. Dmitrieva; G. I. Plindov
- Publisher
- Springer US
- Year
- 1976
- Tongue
- English
- Weight
- 304 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0021-9037
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## Abstract The aim of this note is to ascertain the importance of the Fermi–Amaldi (FA) correction for the Thomas–Fermi (TF) theory of atoms. For this purpose, an analytic trial electron density has been chosen and the Thomas–Fermi–Amaldi (TFA) energy expression has been minimized by the Ritz meth
## Abstract The importance of the Fermi–Amaldi correction for the Thomas–Fermi theory for ions is analyzed. An analytical trial electron density with a proper limiting behavior has been chosen and the Thomas–Fermi–Amaldi energy expression is minimized in a variational way for several closed‐shell i
The numerical solution of the Thomas-Fermi equation is considered. Chebyshev series for small and large values of x are derived. Values of the coefficients to 1OD are given.