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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2014 Issue 4(23), Pages 5–8 (Mi irj390)

PHYSICS AND MATHEMATICS

Two-center overlap integrals - it is simply

M. A. Baranov

Altai State Technical University

Abstract: Integrals on space of functions dependent on radiuses-vectors drawn from two given centers in any point are key concept of physical chemistry. Here the scheme is offered which allows at required precision execute numerical integration of two-centered functions without of their decomposition in series, resorting to recurrent relations and to other approached methods. In case of simple functions the scheme allows execute their integration analytically.

Keywords: atom, electronic shells, overlapping, interaction.



© Steklov Math. Inst. of RAS, 2026