Direct determination of multipole moments of Cartesian Gaussian functions in spherical polar coordinates

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Abstract

A new way of generating the multipole moments of Cartesian Gaussian functions in spherical polar coordinates is discussed. A new set of recurrence relations for the resulting analytic integral values have also been derived. The new method furnishes a numerically efficient and simple procedure for the multipole moments. It is found that based on the fast multipole method, the results are relevant for the linear scaling quantum theories.

Original languageEnglish
Pages (from-to)3535-3543
Number of pages9
JournalJournal of Chemical Physics
Volume120
Issue number8
DOIs
StatePublished - 22 Feb 2004

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