Quality of Gaussian basis sets: Direct optimization of orbital exponents by the method of conjugate gradients

Roy E. Kari, Paul G. Mezey, Imre G. Csizmadia

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

Expressions are given for calcuIating the energy gradient vector in the exponent space of Gaussian basis sets and a technique to optimize orbital exponents using the method of conjugate gradients is described. The method is tested on the (9s5p) Gaussian basis space and optimum exponents are determined for the carbon atom. The analysis of the results shows that the calculated one-electron properties converge more slowly to their optimum values than the total energy converges to its optimum value. In addition, basis sets approximating the optimum total energy very well can still be markedly improved for the prediction of one-electron properties. For smaller basis sets, this improvement does not warrant the necessary expense.

Original languageEnglish
Pages (from-to)581-586
Number of pages6
JournalThe Journal of Chemical Physics
Volume61
Issue number3
Publication statusPublished - Dec 1 1974

ASJC Scopus subject areas

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

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