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Cited by 455

The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.

Analytic Independent-Particle Model for Atoms

Green, Alex E. S., Sellin, D. L., Zachor, A. S.·1969·Physical Review
DOI 10.1103/physrev.184.1
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Abstract

A simple analytic electron-atom independent-particle model (IPM) potential for use in phenomenological studies is examined. The potential is given by $V(r)=\frac{2(N\ensuremath{\Upsilon}\ensuremath{-}Z)}{r}$, $\ensuremath{\Upsilon}=1\ensuremath{-}{[({e}^{\frac{r}{d}}\ensuremath{-}1)H+1]}^{\ensuremath{-}1}$, where $Z$ is the number of nuclear protons, $N$ the number of core electrons, and Rydberg units are used. The adjustable parameters $d$ and $H$ are evaluated using (1) Thomas-Fermi screening functions, (2) Herman and Skillman Hartree-Fock-Slater (HS-HFS) screening functions, (3) HS-HFS eigenvalues, (4) Hartree-Fock eigenvalues, and (5) experimental separation energies. Good agreements with HS-HFS eigenvalues and screening functions for electrons in neutral atoms is obtained if $H=d\ensuremath{\alpha}{N}^{0.4}$, where $d$ is adjusted for each element and $\ensuremath{\alpha}=1.05$ for HFS and 1.00 for HF models. The success in fitting energy values and screening functions suggests that the potential embodies exchange and possibly correlation effects. Applications of the model to excited states and elastic and inelastic collisions are discussed.

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Metadata

Authors
Green, A. E. S., Sellin, D. L., & Zachor, A. S.
Venue
Physical Review
Publisher
American Physical Society (APS)
Published
1969-08-05
Volume
184
Issue
1
Pages
1-9
ISSN
0031-899X (ISSN-L)
DOI
10.1103/physrev.184.1
OpenAlex
W2063066903
Cited by
455
References
20
FWCI
4.28
Type
journal article
Language
en
Open access
closed

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