The Rys quadrature revisited: A novel formulation for the efficient computation of electron repulsion integrals over Gaussian functions

Michel Dupuis, Antonio Marquez

Research output: Contribution to journalArticle

29 Citations (Scopus)


A novel formulation of the Rys quadrature algorithm for the calculation of the electron repulsion integrals over Gaussian basis functions is presented. The new algorithm is specifically designed for high contractions. As for the original Rys quadrature algorithm, the new algorithm is very efficient for high angular momentum functions. In addition it is also equally efficient for low angular momentum functions. The new algorithm takes unique advantage of (1) the numerical Rys quadrature methodology in (2) dealing with charge distributions a la McMurchie-Davidson and in (3) scaling integral blocks as a means of transferring angular momentum a la Gill-Head-Gordon-Pople. An analysis of the algorithm suggests very favorable floating-point operation counts.

Original languageEnglish
Pages (from-to)2067-2078
Number of pages12
JournalJournal of Chemical Physics
Issue number5
Publication statusPublished - Feb 1 2001


ASJC Scopus subject areas

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

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