Note on the Fermi–Amaldi correction for the Thomas–Fermi theory of atoms
✍ Scribed by P. Csavinszky
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 223 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
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 method for the closed‐shell atoms Ne, Ar, Kr, Xe, and Rn. The variationally obtained electron densities have then been used for calculating the diamagnetic susceptibilities of these atoms. The calculated values show only a very small improvement over values calculated by Jensen by an analogous procedure from the TF energy expression.
📜 SIMILAR VOLUMES
## 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
Two simple uncerk%nty correcGons IO Ihe Thomas-Fermi theory are suggesled. The firs1 is derived according LO statistical-mechanical considertnions. and the second is obtained by a semi-empirical cxwxxion 10 many-cloclron sysrcms or a spherical one-electron-syslem result. For bolh correclions resulls