Benchmark calculations for two-electron systems using explicitly correlated Gaussian functions
β Scribed by Wojciech Cencek; Jacek Komasa; Jacek Rychlewski
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 301 KB
- Volume
- 246
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
Explicitly correlated Gaussian functions and nonlinear optimization techniques have been used to calculate Born-Oppenheimer energies of the ground states of H~-and Hell Γ· ions and several excited states of the hydrogen molecule at equilibrium nuclear configurations. In all the cases the results are more accurate than any previously reported.
π SIMILAR VOLUMES
The electronic energy of atoms and molecules may be evaluated accurately by the use of wave functions where the interelectronic distances are explicitly present. In particular, explicitly correlated Gaussian-type functions make these types of calculations feasible and computationally tractable even
Explicitly correlated Gaussian functions with $ ; exp( -P62) factors have been used in variational calculations of the ground state of the helium atom. Additional correlation factors in the form of even powers of rii were introduced to the Gaussian functions with exponential correlation components b
## Abstract Explicitly correlated Gaussian functions have been used in variational calculations on the ground state of the helium atom. The major problem of this application, as well as in other applications of the explicitly correlated Gaussian functions to compute electronic energies of atoms and
Self-consistent field calculations are done using two-body density functionals for the correlation energy. The corresponding functional derivatives are obtained and used in pseudo-eigenvalue equations analogous to the KohnαSham ones. The examples studied include atomic systems from He to Ar. The val