Approximation of three-center nuclear attraction integrals over slater-type orbitals
β Scribed by J. Reinhold; H. Zwanziger; Ch. Meyer
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 385 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
A simple method for the rppro.ximation of three-center nuclear attraction integrals is given. In (x,ll/r,lx$ the point charge is expanded aroung the center 6. For the terms of the expansion in the potential a suitable appro.xbnation is used such that the integral is reduced to overlap-type integrals.
π SIMILAR VOLUMES
Analytical expressions through the binomial coefficients and recursive relations are derived for the expansion coefficients of overlap integrals in terms of a product of well-known auxiliary functions A and B . These formulas are especially k k useful for the calculation of overlap integrals for lar
Using the Lowdin alpha-function method in which displaced orbitals are expanded in spherical harmonics, two-center, two-electron repulsion integrals of the Coulomb, hybrid, and exchange type are done analytically using Slater-type orbitals. Computer algebra and integer arithmetic are used to obtain
A method for the calculation of one-electron two-center integrals is described. Using an ellipsoidal coordinate system, both the overlap, kinetic energy, and nuclear attraction integrals are expressed in terms of the so-called sigma function w introduced by Baba-Ahmed et al. A. Baba-Ahmed and J. Gay
The analytical expressions are derived for the magnetic multipole moment integrals in terms of electric multipole moment integrals for which the closed formulas through the overlap integrals are obtained. By the use of the derived expressions in terms of overlap integrals, the electric and magnetic