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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

No coin nor oath required. For personal study only.

✦ 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


Modified Cartesian Gaussian functions an
✍ A. Gołlębiewski; J. Mrozek 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB

## 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

Integrals of quantum chemical interest i
✍ W. D. Moseley Jr. 📂 Article 📅 1973 🏛 John Wiley and Sons 🌐 English ⚖ 561 KB

## 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.

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