## Abstract Slater orbital __r__~12~^−1^ integrals are calculated with a numerical Fourier‐transform method based on a formulation first given by Bonham, Peacher and Cox. Spherical wave expansions are introduced that decouple the Feynman integrations for the charge distribution Fourier transforms.
Slater-orbital molecular integrals by numerical Fourier-transform methods. II. Four-center integrals over is orbitals
✍ Scribed by Ante Graovac; Krešimir Kovačević; Zvonimir B. Maksi; Ahmet Veseli
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 544 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
The four‐center nonplanar electron repulsion integrals over 1__s__ Slater‐type atomic orbitals are considered by a numerical Fourier‐transform method. It is shown that the highly oscillating integrand appearing in the Fourier inversion formula could be successfully treated by using Tchebyscheff quadrature. The resulting formulas are thoroughly discussed with particular emphasis on their numerical features and convergence properties. It follows that the aforementioned integrals may be calculated with a good accuracy with a moderate amount of computing time.
📜 SIMILAR VOLUMES
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