Basis functions with arbitrary quantum numbers can be attained from those with the lowest numbers by applying shift operators. We derive the general expressions and the recurrence relations of these operators for Cartesian basis sets with Gaussian and exponential radial factors. In correspondence, t
Four-center integrals for Gaussian and exponential functions
✍ Scribed by J. Fernández Rico; J. J. Fernández; I. Ema; R. López; G. Ramírez
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 251 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
The shift operator technique is used for deriving, in a unified manner, the master formulas for the four-center repulsion integrals involving Gaussian (GTO), Slater (STO), and Bessel (BTO) basis functions. Moreover, for the two classes of exponential-type functions (ETO), i.e., STO and BTO, we give the expressions corresponding to both the Gauss and Fourier transforms. From the comparison of the master formulas of GTO and ETO, we conclude that ETO can perform more efficiently than GTO, and we remark the points where the effort must be focused to carry out this possibility.
📜 SIMILAR VOLUMES
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