Berrondo and Goscinski have proposed a functional dependence of the exchange energy kernel on the electron density. Their approximate exchange energy kernel is compared with the exact exchange energy kernel obtained from Hartree-Fock wavefunctions for neon, argon, and zinc. The Berrondo-Goscinski fu
Local exchange potential for atomic systems
β Scribed by M. Berrondo; O. Goscinski
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 272 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
β¦ Synopsis
An approtimate tocal potential for the ewhanse term is found for atomic systems. A functioxul form for the density mtrix as a rezl exponential is assumed, in order to account for the nuclear attraction. The potential is obtained its the functionzl derivative of the excharige energy, imposing the idempotency condition on the density matns. The resulting local potential has the correct asymptotic behzwiour without the need of ad-hoc cut-off procedures, or additional assumptions-* Work supported in part by CONXCYT (.\Gxico) through project PNCB-O024-** Consultant at Institute Mexiuno de1 Peti6leo (Ykcico). r Supported by NFR (Sweden). cleus r. Instead, the local potential deduced from the electron gas decays exponentially with r. An ad-hoc cut-off introduced by Latter [14] has been adopted in
π SIMILAR VOLUMES
An orbital-generated local exchange potential, obtained as the work done in moving an electron in the electric field of its Fermi hole, is found to give Hartree-Fock quality results for the one-and two-electron excited states of Na and Be, respectively. The calculated total energies are found to pro
A new model for the exchange potential in the framework of DFT is proposed. The potential is defined as 2 β£ β a ppr , where β a p pr is the exchange-energy x x x w x density and β£ is not a constant but a functional β£ to be determined iteratively. The exact Fock expression and the LDA, GEA, and Beck