In the Hylleraas-CI method, first proposed by Sims and Hagstrom, correlation factors of the type r& are included into the configurations of a CI expansion. The computation of the matrix elements requires the evaluation of different two-, three-, and four-electron integrals. In this article we presen
Molecular integrals in the generalized hylleraas–CI method
✍ Scribed by Yannan Lu; Zuqia Huang
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 522 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
In the generalized Hylleraas–CI method, the original correlation factor r^v^~ij~ is multiplied by a Gaussian geminal. Using the approach of generating functions, the general formulas of molecular integrals in this method are derived over Cartesian Gaussian orbitals. From differentiations of the generating functions, the expanding length in the incomplete Gamma functions is reduced, and some cancellations presented in other approaches are avoided. Preliminary calculations for H~2~ and H~2~—H~2~ systems are carried out over STO‐3G basis. The results are encouraging.
📜 SIMILAR VOLUMES
A simple method of calculation of the integrals of the Hylleraas-Ore wave function, used in the description of the four-particle system analogous to the H, molecule, is presented. The integrals corresponding to the kinetic energies of particles, to the Coulomb energy terms, and to the interparticle
The general theory of three-electron Hylleraas-Configuration-Interaction method using linear correlation factors of the form r, has been implemented for molecular systems using Cartesian Gaussians as basis sets. A brief review of the theory and the form of the three-electron integrals is presented.
An efficient procedure is given to reduce the dimension of large basis sets required in high-precision Hylleraas-CI calculations. With this method the non-relativistic energies of the low-lying S states of the Li atom are recalculated. The results for the excited states are the best values to date.