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Multipole expansions of orbital products about an intermediate center
Author(s) -
Talman James D.
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.22511
Subject(s) - multipole expansion , center (category theory) , quantum , electron , harmonics , interval (graph theory) , quantum mechanics , atomic orbital , physics , computational physics , computational chemistry , mathematics , chemistry , combinatorics , voltage , crystallography
A numerical method described previously (Talman, Int J Quantum Chem, 2007, 107, 1578) is reviewed and a modified formulation that may be more computationally efficient is presented. Modifications required for the application to real harmonics are described. The method requires the numerical evaluation of a one‐dimensional integral on a finite interval, and an improved method for this is described. The application to the evaluation of electron–electron repulsion four‐center integrals is also discussed. It is indicated that μ H accuracy is obtainable with modest computational effort. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011
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