PHYSICS AND MATHEMATICS

Exact analytical solution of the problem on interaction of atoms having spherical-symmetrical electronic shells

M. A. Baranov

Altai State Technical University

Abstract: Balance of charges of different signs forming atoms makes illegitimate application of approximated and numerical methods to definition of energy of coulomb interactions of atoms. Exact analytical expressions of this energy are resulted for atoms which electronic shells are described by arbitrary functions of radial distribution of electronic density. Quantum corrections are considered. Given expressions open an opportunity of establishment of direct connections between indicators of properties of substances and parameters of functions of radial distribution of electronic density in shells of atoms forming these substances.

Keywords: coulomb energy, overlap integral, electronic density, radial distribution.