## Abstract A method is described whereby molecular symmetry is employed to reduce the number of two‐electron integrals in perturbed Hartree–Fock calculations of second‐order properties. The method is a generalization of the Dacre–Elder procedure. First‐ and second‐rank perturbing tensor operators
On the use of symmetry in first-order perturbed Hartree–Fock theory
✍ Scribed by Paolo Lazzeretti
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 613 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A method for the determination of the symmetry of first‐order vectors in Hartree–Fock perturbation theory is developed. This leads to the definition of symmetry‐adapted basis vectors to be employed at first order in the perturbation. It is shown that computer time can be saved, to some extent, in the calculation of second‐order properties, by exploiting molecular symmetry. Specific examples are given for methane, ammonia, and water.
📜 SIMILAR VOLUMES
## Abstract Different kinds of improved uncoupled Hartree–Fock methods are proposed for the calculation of second‐order perturbation energies. Using these methods inequalities are derived for the error of the uncoupled procedure with geometric approximation.
This paper is the third of a series to illustrate the characteristics of EMBED, a computer program for the ab-initio Hartree-Fock study of defects in crystals. We describe here the algorithms which allow the symmetry of the imperfect crystal to be identified, and exploited thoroughly. Much of the di
The selfconsistent field based theory of frequency-independent hyperpolarizabilities is adapted to the treatment of the corresponding frequency-dependent quantities. Explicit expressions are given ior the double and null frequency polarizations of a molecule in a long-estabiished oscilhrting electri
Curve crossing in a simple two-electron two-orbital model is considered. It is shown that the spin density wave (SDIi? solution has the correct crossing points and is closest to the exact solution of ali single determinants.