Expansion of Slater-type orbitals about a displaced center and the evaluation of multicenter electron-repulsion integrals

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Abstract
A simpler version of the formulas given by the author for the expansion of Slater-type orbitals (STO’s) about a point displaced from the orbital center is derived. By utilizing these formulas, extremely compact analytical expressions are established for multicenter electron-repulsion integrals over STO’s. The final results are of a simple structure and are, therefore, especially useful for machine computations.