Guseinov, Israfil IsaMamedov, BA2025-01-272025-01-2720001432-881Xhttps://doi.org/10.1007/s002140000184https://hdl.handle.net/20.500.12428/21295Using translation and rotation formulas for spherical harmonics the finite sums through the basic overlap integrals and spherical harmonics are derived for the arbitrary overlap integrals over Slater-type orbitals (STOs). The recurrence relations for the evaluation of basic overlap integrals have been established recently [Guseinov II, Mamedov BA (1999) J Mol Struct (THEOCHEM 465:1]. By the use of the derived expressions the overlap integrals can be calculated most efficiently and accurately, especially for large quantum numbers of STOs.eninfo:eu-repo/semantics/closedAccessSlater-type orbitalsoverlap integralsspherical harmonicsLetter1051939510.1007/s002140000184Q1WOS:000165781800012