Efficient evaluation of three-center two-electron integrals over Gaussian functions

2004 Physical Chemistry Chemical Physics 248 citations

Abstract

The RI (resolution of the identity) technique achieves significant increases in efficiency for various molecular electronic structure methods. This results from the approximation of four-center two-electron integrals by corresponding three-center integrals. It is shown that the three-center integrals required can be evaluated with a much simpler algorithm than for the general case. This further increases the advantage of RI procedures.

Keywords

Center (category theory)GaussianSlater integralsElectronOrder of integration (calculus)Resolution (logic)MathematicsPhysicsMathematical analysisQuantum mechanicsChemistryComputer scienceCrystallography

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Year
2004
Type
article
Volume
6
Issue
22
Pages
5119-5119
Citations
248
Access
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Reinhart Ahlrichs (2004). Efficient evaluation of three-center two-electron integrals over Gaussian functions. Physical Chemistry Chemical Physics , 6 (22) , 5119-5119. https://doi.org/10.1039/b413539c

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DOI
10.1039/b413539c