Akdemir, SeldaYukcu, NiyaziOztekin, Emin2025-03-232025-03-232016978-0-12-803061-5978-0-12-803060-80065-3276https://doi.org/10.1016/bs.aiq.2015.06.003https://hdl.handle.net/11486/6724In this paper, for one-and two-center one-electron integrals between irregular solid harmonics (ISHs) and Slater-type orbitals (STOs) with same screening parameters distinct analytical formulas are obtained. First, an expression is derived in terms of ISHs and STOs using a Fourier transform method and Taylor expansion. The second expression is written by taking the two-center overlap integrals over STOs with the different screening parameters to a limit. Numerical calculations of these two formulae have been performed for chosen quantum numbers. Finally, the two-center basic nuclear attraction integrals have been calculated as a special case of these integrals between ISHs and STOs. Results obtained have been compared with the literature. This comparison shows a perfect match.eninfo:eu-repo/semantics/closedAccessNuclear-Attraction IntegralsRelativistic Hydrogen-AtomComputer-Generated FormulasMolecular IntegralsOverlap IntegralsSpherical-HarmonicsCoulomb Integrals2-Center IntegralsUnified TreatmentMulticenter IntegralsReview7318319510.1016/bs.aiq.2015.06.0032-s2.0-84938153959Q4WOS:000375652300011N/A