## Abstract A sixβterm auxiliary integral expression for the twoβelectron Gaussian integral is derived on the basis of the Chebyshev polynomial approximation instead of the sevenβterm Taylor expansion. This expression and the related recurrence formula enable us to perform a highβspeed calculation
Two-electron integral evaluation for uncontracted geometrical-type Gaussian functions
β 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.
β¦ 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.
π SIMILAR VOLUMES
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
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
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