## Abstract An analytical derivation of multicenter and multiparticle integrals for explicitly correlated Cartesian Gaussian‐type cluster functions is demonstrated. The evaluation method is based on the application of raising operators that transform spherical cluster Gaussian functions into Cartes
Analytic first derivatives for explicitly correlated, multicenter, Gaussian geminals
✍ Scribed by D. W. Gilmore; P. M. Kozlowski; D. B. Kinghorn; L. Adamowicz
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 166 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Variational calculations utilizing the analytic gradient of explicitly correlated Gaussian molecular integrals are presented for the ground state of the hydrogen molecule. Preliminary results serve to motivate the need for general formulas for analytic first derivatives of molecular integrals involving multicenter, explicitly correlated Gaussian geminals with respect to Gaussian exponents and coordinates of the orbital centers. Explicit formulas for analytic first derivatives of Gaussian functions Ž 2 . containing correlation factors of the form exp y r are derived and discussed. ᮊ 1997
📜 SIMILAR VOLUMES
The completeness criteria for the basis set of explicitly correlated Gaussian-type geminals adapted to C symmetry are given. Specifically, we show that any pair function of ⌺ q ϱv symmetry can be expanded in terms of products involving two spherical Gaussian orbitals located on the internuclear axis