Symbolic calculation is applied to the evaluation of molecular integrals over Slater orbitals (STOs). A recurrence scheme is developed for some new auxiliary functions that facilitate this work. Closed expressions are developed independently for use in spot checks. A table of formulas for the indivi
Computation of overlap integrals over Slater-type orbitals using auxiliary functions
✍ Scribed by I. I. Guseinov; A. Özmen; Ü. Atav; H. Yüksel
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 153 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
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 large quantum numbers. Accuracy of the computer results is satisfactory for the values of quantum numbers up to 50 and for the arbitrary values of screening constants of atomic orbitals and internuclear distances.
📜 SIMILAR VOLUMES
A strategy is presented for the calculation of two-center overlap integrals over Slater-type orbitals. Displaced orbitals are expanded in spherical harmonics with Lowdin ␣-functions äs coefficients. The exponentials in the ␣-functions are expanded, leading to representation in terms of stored E and
The multicenter charge-density expansion coefficients [I. I. Guseinov, J Mol Struct (Theochem) 417, 117 (1997)] appearing in the molecular integrals with an arbitrary multielectron operator were calculated for extremely large quantum numbers of Slater-type orbitals (STOs). As an example, using compu
Using expansion formulas for the charge-density over Slater-type orbitals (STOs) obtained by the one of authors [I. I. Guseinov, J Mol Struct (Theochem) 1997, 417, 117] the multicenter molecular integrals with an arbitrary multielectron operator are expressed in terms of the overlap integrals with t
A general formula has been established for the overlap integrals with the same screening parameters of Slater-type orbitals in terms of bionomial coefficients. The final results are especially useful for the calculation of these integrals for large quantum numbers, which occur in the multicenter int
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