## Abstract Formulas for the calculation of matrix elements of the simplified operator of the spinβorbit interaction for the configuration __n__~1~__l__^__N__^__n__~2~__l__ are deduced for the case when radial orbitals are nonorthogonal. The coefficients of the radial integrals are tabulated for th
Nonorthogonal radial orbitals for the configuration lnl
β Scribed by A. P. Jucys; K. V. Sabas; Z. J. Kupliauskis
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 759 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The theory of treating the configuration n~0~l____n~1~l^N^n~2~l by means of nonorthogonal radial orbitals is described. The expressions for the matrix elements of the nonrelativistic Hamiltonian are deduced. A table that enables one to obtain these expressions in terms of radial integrals for l = 0 and 1 are given. Numerical calculations are performed for the configuration 1__s__^2^2__s__^2^2__p__3__p__ using generalized hydrogenβlike radial orbitals. The numerical values of the interβterm energy differences are given and discussed.
π SIMILAR VOLUMES
The implications of orbital symmetry for a configuration's spin function are considered from the fairly general viewpoint required for multiconfiguration wave functions employing nonorthogonal orbitals. A general procedure is derived for the imposition of the spin constraints that may be necessary t