Guseinov, Israfil Isa2025-01-272025-01-2720040948-5023https://doi.org/10.1007/s00894-004-0188-7https://hdl.handle.net/20.500.12428/22713Using addition theorems for STOs introduced by the author with the help of complete orthonormal sets of psi(alpha)-ETOs (Guseinov II (2003) J Mol Model 9:190-194), where alpha=1, 0, -1, -2, ..., a large number of one-range addition theorems for first and second derivatives of STOs are established. These addition theorems are especially useful for computation of multicenter-multielectron integrals over STOs that arise in the Hartree-Fock-Roothaan approximation and also in the Hylleraas function method, which play a significant role for the study of electronic structure and electron-nuclei interaction properties of atoms, molecules, and solids. The relationships obtained are valid for arbitrary quantum numbers, screening constants and location of STOs.eninfo:eu-repo/semantics/closedAccessaddition theoremsslater-type orbitalsmulticenter-multielectron integralsArticle10321221510.1007/s00894-004-0188-7Q1WOS:0002217290000062-s2.0-304253185015029482Q2