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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1981 Jul;78(7):4002–4005. doi: 10.1073/pnas.78.7.4002

Semiclassical model for atoms

Ralph G Pearson 1
PMCID: PMC319713  PMID: 16593047

Abstract

The energies of several two- and three-electron atoms, in both ground states and excited states, are calculated by a very simple semiclassical model. The only change from Bohr's original method is to replace definite orbits by probability distribution functions based on classical dynamics. The energies are better than Hartree-Fock values. There is still a need for an exchange-energy correction.

Keywords: Bohr atom, density function, two-electron atoms, exchange energy

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Van Vleck J. H. The Correspondence Principle in the Statistical Interpretation of Quantum Mechanics. Proc Natl Acad Sci U S A. 1928 Feb;14(2):178–188. doi: 10.1073/pnas.14.2.178. [DOI] [PMC free article] [PubMed] [Google Scholar]

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