Four-center Integral of a Dipolar Two-electron Potential Between s-type GTO's
Abstract
We reduce two-electron 4-center products of Cartesian Gaussian Type Orbitals with Boys' contraction to 2-center products of the form psialpha(ri-A) psibeta(rj-B), and compute the 6-dimensional integral over d3ri d3rj over these with the effective potential Vij = (ri-rj) . rj / |ri-rj|3 in terms of Shavitt's confluent hypergeometric functions.
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