Guseinov, Israfil Isa2025-01-272025-01-2720050166-1280https://doi.org/10.1016/j.theochem.2004.11.046https://hdl.handle.net/20.500.12428/28333A large number of one-range addition theorems for first and second derivatives of complete orthonormal sets of psi(alpha)-ETOs (alpha = 1,0, - 1, -2....) through the new basic auxiliary functions is presented. The basic auxiliary functions are constructed from the finite linear combinations of psi(alpha)-ETOs. These theorems are especially useful in the study of,electric field and its gradient induced at the nuclei of a molecule by its electrons. The relationships obtained are valid for the arbitrary values of parameters and location of orbitals. (c) 2005 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessexponential-type orbitalsaddition theoremsmulticenter integralsArticle7191-3535510.1016/j.theochem.2004.11.046Q3WOS:0002285276000072-s2.0-15944423202N/A