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Intracule functional models. V. Recurrence relations for two-electron integrals in position and momentum space

Hollett, Joshua; Gill, Peter


The approach used by Ahlrichs [Phys. Chem. Chem. Phys., 2006, 8, 3072] to derive the Obara-Saika recurrence relation (RR) for two-electron integrals over Gaussian basis functions, is used to derive an 18-term RR for six-dimensional integrals in phase space and 8-term RRs for three-dimensional integrals in position or momentum space. The 18-term RR reduces to a 5-term RR in the special cases of Dot and Posmom intracule integrals in Fourier space. We use these RRs to show explicitly how to...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Physical Chemistry Chemical Physics
DOI: 10.1039/C0CP02154G


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