Guseinov, I. I.2020-03-262020-03-261995Guseinov, I. I., (1995). Spherically Symmetrical Properties of Two-Center Overlap Integrals Over Arbitrary Atomic Orbitals and Translation Coefficients for Slater-Type Orbitals. Journal of Molecular Structure: Theochem, 343(C), 173-176.0166-1280https://dx.doi.org/10.1016/0166-1280(95)90551-0https://hdl.handle.net/20.500.12395/16327The orthogonality relations are derived for the rotation coefficients of two-center overlap integrals over arbitrary atomic orbitals (AAOs) and expansion coefficients for translation of Slater-type orbitals (STOs). Using these formulas, a very interesting theorem regarding the angular dependence is established. If we add the products of all the overlap integrals or all the translation coefficients with the same n and l values, but different m values, the result is independent of orientation. The final results are of a simple structure and are, therefore, especially useful for machine computations of multielectron multicenter molecular integrals by expanding one- and two-center electron charge density over STOs in terms of STOs about a new center. © 1995.en10.1016/0166-1280(95)90551-0info:eu-repo/semantics/closedAccessArticle343C173176N/A