title: One-range addition theorems for derivatives of Slater-type orbitals.
abstract: Using 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.
authors.affiliation: Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, Canakkale, Turkey. iguseinov@cheerful.com
authors.forename: Israfil
authors.initials: I
authors.lastname: Guseinov
mesh_terms: D000465:Algorithms; D004583:Electrons; D008954:Models, Biological; D008958:Models, Molecular; D015233:Models, Statistical; D008962:Models, Theoretical; D008968:Molecular Conformation; D015394:Molecular Structure; D012984:Software