Av. Titov, A 2-STEP METHOD OF CALCULATION OF THE ELECTRONIC-STRUCTURE OF MOLECULES WITH HEAVY-ATOMS - THEORETICAL ASPECT, International journal of quantum chemistry, 57(3), 1996, pp. 453-463
An approach for a space-separated calculation of the wave function in
the valence and core regions of a molecule is proposed. As the first s
tep, the calculation of the orbitals (or two-component spinors in the
relativistic case) in the valence region by the effective core potenti
al (ECP) method is performed. Then, it is followed by a restoration of
orbitals (four-component spinors) expanded on spherical harmonics in
the core regions of heavy atoms. Theoretical questions of the variatio
nal calculation of the molecular orbitals are considered in some core
region Limited by a sphere. Inclusion from the electronic cloud outsid
e this region is reduced by the necessity of taking into account the o
rthonormality and boundary conditions together with an effective exter
nal field in respect to the selected core region. This method may be u
sed for calculation of matrix elements of operators that are singular
near nuclei (P,T-odd interactions, hyperfine structure, etc.). A subst
antial computational saving can be reached because the method enables,
by the most optimal way, to combine the advantages of two well-develo
ped approaches: molecular ECP calculations in the Gaussian basis set a
nd one-center numerical atomic calculations with an external field. It
is especially important when the relativistic effects are taken into
account. (C) 1996 John Wiley & Sons, Inc.