## Abstract The general formula for the electron‐electron repulsion integral in the modified Cartesian Gaussian basis set derived in Ref. [1] is simplified. A general relation between the standard and modified CG functions is given. A possible use of the modified CG functions to quantum chemical ca
Modified Gaussian functions and their use in quantum chemistry. I. Integrals
✍ Scribed by A. Gołlebiewski; J. Mrozek
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 376 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
A modified Gaussian function g(u, v, w, a, R) = const
equation image
s(a, R) is considered where l = u + v + w, s (a, R) is a 1__s__‐type Gaussian function centered at R, a is the coefficient in the exponent of the 1 s Gaussian function and X, Y, Z are components of R. General formulae are derived for overlap integrals, kinetic energy integrals, nuclear attraction integrals, and electron repulsion integrals, valid for any l. The formulae are much simpler than those derived by Huzinaga for Cartesian Gaussian functions.
📜 SIMILAR VOLUMES
## Abstract Formulae are presented for the evaluation of some definite integrals in which the Laguerre orthogonal functions are contained. In some cases mechanical quadratures are to be preferred, and a scheme is presented for generating such a quadrature as it is needed.
It is demonstrated that variational calculations based on explicitly correlated Gaussian functions for the hydrogen molecule in its ground state lead to energies of the same level of accuracy as those based on the Kotos-Wolniewicz functions. The energies obtained are the lowest reported so far, in c
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