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Unified analytical treatment of multicentre electron attraction, electric field and electric field gradient integrals over Slater orbitals

I I Guseinov

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The new central and noncentral potential functions (CPFs and NCPFs) of a molecule depending on the coordinates of the nuclei are introduced. Using complete orthonormal sets of Ψα-exponential-type orbitals (Ψα-ETOs) introduced by the author, the series expansion formulae for the multicentre electronic attraction (EA), electric field (EF) and electric field gradient (EFG) integrals over Slater-type orbitals (STOs) in terms of CPFs and NCPFs are derived. The relationships obtained are valid for the arbitrary location, quantum numbers and screening constants of STOs.


PACS

31.15.-p Calculations and mathematical techniques in atomic and molecular physics

34.20.-b Interatomic and intermolecular potentials and forces, potential energy surfaces for collisions

02.30.Rz Integral equations

MSC

81V55 Molecular physics (See also 92E10)

Subjects

Atomic and molecular physics

Mathematical physics

Computational physics

Dates

Issue 3 (23 January 2004)

Received 28 July 2003

Published 7 January 2004



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