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Calculation of the one-electron two-center integrals over Slater-type orbitals by means of the ellipsoidal coordinates method

โœ Scribed by Sidi Mohamed Mekelleche; Abdellatif Baba-Ahmed


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
180 KB
Volume
63
Category
Article
ISSN
0020-7608

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โœฆ Synopsis


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. Gayoso, Int. J. Quant. Chem. 23, ลฝ . ลฝ .x 71 1983 , Eq. 51 and which is easily programmed for a computer. The present investigation offers an advantage in that general formulas are derived which facilitate computation of the overlap and related two-center integrals over all Slater-type orbitals ลฝ . STOs with eventual nonintegral values of the principal quantum number. The proposed w algorithm permits to avoid the procedure of interpolation A. Baba-Ahmed and J.

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๐Ÿ“œ SIMILAR VOLUMES


On the calculation of arbitrary multiele
โœ I. I. Guseinov; B. A. Mamedov ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB ๐Ÿ‘ 1 views

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

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โœ I. I. Guseinov; B. A. Mamedov ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 173 KB ๐Ÿ‘ 1 views

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