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Local exchange potential for atomic systems

✍ Scribed by M. Berrondo; O. Goscinski


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
272 KB
Volume
62
Category
Article
ISSN
0009-2614

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✦ 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


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A new model for the exchange potential in the framework of DFT is proposed. The potential is defined as 2 ␣ β‘€ a ppr , where β‘€ a p pr is the exchange-energy x x x w x density and ␣ is not a constant but a functional ␣ to be determined iteratively. The exact Fock expression and the LDA, GEA, and Beck