Abstract
The new one- and two-electron nonrelativistic and quasirelativistic basic functions are introduced. The general analytical relations in terms of basic functions suggested are derived for the non- and quasi-relativistic atomic integrals over complete orthonormal sets of \({\Psi ^{\alpha}}\) -exponential type orbitals introduced by the author, where α = 1,0, − 1, − 2, . . . The relationships obtained are valid for the arbitrary values of quantum numbers and screening constants of orbitals.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Guseinov, I.I. Unified treatment of nonrelativistic and quasirelativistic atomic integrals over complete orthonormal sets of \({\Psi^{\alpha}}\) -exponential type orbitals. J Math Chem 45, 1032–1040 (2009). https://doi.org/10.1007/s10910-008-9432-1
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DOI: https://doi.org/10.1007/s10910-008-9432-1