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

Rafael Benguria; Elliott H. Lieb

doi:10.1007/3-540-27056-6_27

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

Rafael Benguria, Elliott H. Lieb

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

Let N_c denote the maximum number of electrons that can be bound to an atom of nuclear charge z, in the Thomas-Fermi-von Weizsäcker theory. It is proved that N_c cannot 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_c cannot exceed the total nuclear charge by more than the number of atoms in the molecule.

Original language	English (US)
Title of host publication	The Stability of Matter
Subtitle of host publication	From Atoms to Stars: Fourth Edition
Publisher	Springer Berlin Heidelberg
Pages	383-397
Number of pages	15
ISBN (Print)	3540420835, 9783540222125
DOIs	https://doi.org/10.1007/3-540-27056-6_27
State	Published - 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1007/3-540-27056-6_27

Cite this

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abstract = "Let Nc denote the maximum number of electrons that can be bound to an atom of nuclear charge z, in the Thomas-Fermi-von Weizs{\"a}cker theory. It is proved that Nc cannot 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. Nc cannot 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 Weizsäcker theory of atoms and molecules

Abstract

All Science Journal Classification (ASJC) codes

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