The most negative ion in the Thomas-Fermi-von Weizsacker theory of atoms and molecules

R. Benguria; E. H. Lieb

doi:10.1088/0022-3700/18/6/006

The most negative ion in the Thomas-Fermi-von Weizsacker theory of atoms and molecules

R. Benguria, E. H. Lieb

Mathematics

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34 Scopus citations

Abstract

Let N_cdenote the maximum number of electrons that can be bound to an atom of nuclear charge z, in the Thomas-Fermi-von Weizsacker theory. It is proved that N_ccannot exceed z by more than one, and thus this theory is in agreement with experimental facts about real atoms. A similar result is proved for molecules, i.e. N_ccannot exceed the total nuclear charge by more than the number of atoms in the molecule.

Original language	English (US)
Article number	006
Pages (from-to)	1045-1059
Number of pages	15
Journal	Journal of Physics B: Atomic and Molecular Physics
Volume	18
Issue number	6
DOIs	https://doi.org/10.1088/0022-3700/18/6/006
State	Published - 1985

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1088/0022-3700/18/6/006

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abstract = "Let Ncdenote the maximum number of electrons that can be bound to an atom of nuclear charge z, in the Thomas-Fermi-von Weizsacker theory. It is proved that Nccannot exceed z by more than one, and thus this theory is in agreement with experimental facts about real atoms. A similar result is proved for molecules, i.e. Nccannot exceed the total nuclear charge by more than the number of atoms in the molecule.",

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The most negative ion in the Thomas-Fermi-von Weizsacker theory of atoms and molecules

Abstract

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