Abstract
A powerful and accurate numerical three-dimensional integration scheme was developed especially for molecular orbital calculations. A multicenter integral is decomposed into the sum of single-center integrals using nuclear weight functions and calculated using Gaussian quadrature rules. The decomposed single-center integrands show strong anisotropy. With a careful selection of the Gaussian quadrature rule according to the anisotropy, it is possible to obtain an accuracy of 13 digits with a small number of integration points for the overlap integrals, normalization integrals, and molecular integrals for the hydrogen molecule. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 72: 509–523, 1999
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