Application of the scaling properties of the correlation energy functional to local and gradient-dependent forms

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Abstract

The uniform and non-uniform scaling properties of the exact correlation energy functional are applied in the study of rational, polynomial, logarithmic and exponential local and gradient-dependent forms of the correlation energy functional, which depend separably on the density and on the reduced variable of the gradient of the density. No local or gradient-dependent polynomial, rational, logarithmic, and exponential form can satisfy all the properties at the same time for the high- or low-density limits. A slight violation of some of the conditions may lead to simple approximate expressions for the correlation energy functional.

Original languageEnglish (US)
Pages (from-to)371-376
Number of pages6
JournalChemical Physics Letters
Volume322
Issue number5
DOIs
StatePublished - May 26 2000

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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