𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Recurrence formulas for molecular integrals over Laguerre Gaussian-type functions

✍ Scribed by Fusanori Arakane; Osamu Matsuoka


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
152 KB
Volume
66
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis


Recurrence formulas for overlap, nuclear attraction, and electronrepulsion integrals over Laguerre Gaussian-type functions are presented. They have been derived using compact recurrence relations for homogeneous solid spherical harmonic operators but are rather lengthy as compared to those over Cartesian Gaussian-type functions.


πŸ“œ SIMILAR VOLUMES


Molecular integrals for Gaussian and exp
✍ J. FernΓ‘ndez Rico; J. J. FernΓ‘ndez; R. LΓ³pez; G. RamΓ­rez πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 197 KB

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

Optimal use of the recurrence relations
✍ Ungsik Ryu; Myeongcheol Kim; Yoon Sup Lee πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 563 KB

## Abstract We consider the tree search problem for the recurrence relation that appears in the evaluation of molecular integrals over Cartesian Gaussian basis functions. A systematic way of performing tree search is shown. By applying the result of tree searching to the LRL2 method of Lindh, Ryu,

On the calculation of arbitrary multiele
✍ I. I. Guseinov; B. A. Mamedov πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 186 KB πŸ‘ 2 views

Using expansion formulas for the charge-density over Slater-type orbitals (STOs) obtained by the one of authors [I. I. Guseinov, J Mol Struct (Theochem) 1997, 417, 117] the multicenter molecular integrals with an arbitrary multielectron operator are expressed in terms of the overlap integrals with t

On the calculation of arbitrary multiele
✍ I. I. Guseinov; B. A. Mamedov πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 173 KB πŸ‘ 2 views

The multicenter charge-density expansion coefficients [I. I. Guseinov, J Mol Struct (Theochem) 417, 117 (1997)] appearing in the molecular integrals with an arbitrary multielectron operator were calculated for extremely large quantum numbers of Slater-type orbitals (STOs). As an example, using compu