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

Rafael Benguria, Elliott H. Lieb

Research output: Chapter in Book/Report/Conference proceedingChapter

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 Weizsäcker 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.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages383-397
Number of pages15
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Benguria, R., & Lieb, E. H. (2005). The most negative ion in the Thomas-Fermi-von Weizsäcker theory of atoms and molecules. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 383-397). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_27