Notes on hydrogenic Gaussian lobe functions
β Scribed by Marten J. Ten Hoor
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 464 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The Gaussian lobe representation of 2__p__ and 3__d__~xy~ functions of a oneβelectron atom has been reconsidered. Contrary to earlier results, it has been found that the minimum energy associated with the simplest case of these functions is reached when the expansion centers coincide with the nucleus. This also seems to be true for representations with larger expansion lengths. Under similar conditions, Whitten's octahedral representation of the 2__p__ function gives a better energy value than Poshusta's tetrahedral one.
π SIMILAR VOLUMES
## Abstract Fully optimized lengthy Gaussian expansions of hydrogenic 1__s__ and 2__p__~__z__~ functions have been practically reproduced by generating the variational parameters by means of suitably chosen functions involving only few parameters. Hydrogenic 3__d__~__xy__~ and 4__f__~__xyz__~ funct
## Abstract Highly angularly dependent axial Gaussianβlobe orbitals (AGLO) (up to __L__ = 5) are presented. The angular and radial optimizations of these functions have been realized on the ground of theoretical frameworks, previously reported in the literature and somewhat extended here. The numer