𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Two-electron integral evaluation for uncontracted geometrical-type Gaussian functions

✍ Scribed by M. W. Wong; G. Corongiu; E. Clementi


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
524 KB
Volume
12
Category
Article
ISSN
0192-8651

No coin nor oath required. For personal study only.

✦ Synopsis


A new algorithm for efficient evaluation of two-electron repulsion integrals (ERIs) using uncontracted geometrical-type Gaussian basis functions is presented. Integrals are evaluated by the Habitz and Clementi method. The use of uncontracted geometrical basis sets allows grouping of basis functions into shells (s, sp, spd, or spdf) and processing of integrals in blocks (shell quartets). By utilizing information common to a block of integrals, this method achieves high efficiency. This technique has been incorporated into the KGNMOL molecular interaction program. Representative timings for a number of molecules with different basis sets are presented. The new code is found to be significantly faster than the previous program. For ERIs involving only s and p functions, the new algorithm is a factor of two faster than previously. The new program is also found to be competitive when compared with other standard molecular packages, such as HONDO-8 and Gaussian 86.


πŸ“œ SIMILAR VOLUMES


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

Gaussian expansions of orbital products
✍ P.D. Dacre; M. Elder πŸ“‚ Article πŸ“… 1971 πŸ› Elsevier Science 🌐 English βš– 299 KB

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

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

Analytic LΓΆwdin alpha-function method fo
✍ Herbert W. Jones πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 410 KB

Using the Lowdin alpha-function method in which displaced orbitals are expanded in spherical harmonics, two-center, two-electron repulsion integrals of the Coulomb, hybrid, and exchange type are done analytically using Slater-type orbitals. Computer algebra and integer arithmetic are used to obtain