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Basis functions for electronic structure calculations on spheres

Journal of Chemical Physics, ISSN: 0021-9606, Vol: 141, Issue: 24, Page: 244102
2014
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Article Description

We introduce a new basis function (the spherical Gaussian) for electronic structure calculations on spheres of any dimension D. We find general expressions for the one- and two-electron integrals and propose an efficient computational algorithm incorporating the Cauchy-Schwarz bound. Using numerical calculations for the D = 2 case, we show that spherical Gaussians are more efficient than spherical harmonics when the electrons are strongly localized.

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