Gorgun, Nursen Seckin2024-06-122024-06-1220130031-89491402-4896https://doi.org/10.1088/0031-8949/87/06/065301https://hdl.handle.net/20.500.14551/25189Using one-range addition theorems, the three-center nuclear attraction integrals are expressed through the overlap integrals containing chi- and chi(alpha)-Slater-type orbitals (chi-STOs and chi(alpha)-STOs), where -infinity < alpha <= 2 and chi(alpha)(nlm) (zeta, (r) over right arrow) = 1/(2 zeta r)(alpha)chi(nlm) (zeta, (r) over right arrow). For the fast calculation, the partial summation is utilized for some indices of series expansion relations which correspond to progressively increasing upper limits. The binomial coefficients are stored in the memory of the computer. The convergence and accuracy of series are tested by calculating concrete cases. The best values are obtained for alpha = 0.en10.1088/0031-8949/87/06/065301info:eu-repo/semantics/closedAccessMultielectron Molecular IntegralsQuantum Similarity IntegralsOne-Electron IntegralsOverlap IntegralsAtomic OrbitalsNumerical EvaluationAuxiliary FunctionsCoulomb Integrals2-CenterConvergenceArticle876Q3WOS:0003198168000092-s2.0-84878527242Q2