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Gaussian expansions of orbital products for the evaluation of two-electron integrals

✍ Scribed by P.D. Dacre; M. Elder


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
299 KB
Volume
8
Category
Article
ISSN
0009-2614

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✦ Synopsis


A method is described for evaluating multicenter integrals over contrscted gaussim-trye orbit& by

Use of gaussian expansion Of orbital products. The expansions are determined by the method of nonlinear least swares with constraints. There ia no restriction tipon the symmetry of the orbital product and the method is applicable to all products arising from s , p and d-type orbit&.

Results are given to indicate the accuracy of the method.


πŸ“œ SIMILAR VOLUMES


The orbital-product expansion method for
✍ P.D. Dacre; M. Elder πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 334 KB

A previously described method for the evaluation of multi-centre integrah using gaussian function expansions of orbital products is rigorously tested. The ground state of the permarqanate ion was studied by an ab iaitio SCP MO ulculetion using a minimal basis set of contracted geussian functions of

A vector processing algorithm of auxilia
✍ Shuichi Yahiro; Yasuhiko Gondo πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 443 KB

## Abstract A six‐term auxiliary integral expression for the two‐electron Gaussian integral is derived on the basis of the Chebyshev polynomial approximation instead of the seven‐term Taylor expansion. This expression and the related recurrence formula enable us to perform a high‐speed calculation

ACE algorithm for the rapid evaluation o
✍ Kazuhiro Ishida πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 602 KB

A new series of general formulas to evaluate the electron-repulsion integral (ERI) can be derived from modifying the Gauss-Rys quadrature formula. These named as "accompanying coordinate expansion (ACE) formulas" are capable of evaluating very fast EMS, especially for contracted Gaussian-type orbita