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
Convergence of Translation Formulas for the Computation of Multicenter Integrals over Slater Orbitals
β Scribed by I.I. Guseinov; B.A. Mamedov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 68 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
Multicenter electron-repulsion integrals are calculated using auxiliary functions and two kinds of translation formulas for Slater-type orbitals (STOs) obtained from the expansion of STOs, in terms of exponential-type orbitals at a displaced center, that form complete orthonormal sets and are represented by linear combinations of STOs. The convergence of the series for real STOs is tested by calculating concrete cases. Accuracy of the results is quite high for quantum numbers, screening constants, and location of STOs.
π SIMILAR VOLUMES
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
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 β£-functions Γ€s coefficients. The exponentials in the β£-functions are expanded, leading to representation in terms of stored E and
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
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
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