The Kohn᎐Sham density functional theory ''exchange'' potential v r s x KS w x Ž . KS w x ␦E r␦ r , where E is the ''exchange'' energy functional, is composed of a x x component representative of Pauli correlations and one that constitutes part of the KS Ž . correlation contribution to the kinetic en
Direct approximation of the long- and short-range components of the exchange-correlation Kohn-Sham potential
✍ Scribed by Oleg V. Gritsenko; Robert Van Leeuwen; Evert Jan Baerends
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 232 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
An approximation scheme was developed for the Kohn᎐Sham exchange᎐correlation potential v , making use of a partitioning of v into a long-range screening v and xc x c scr a short-range response v component. For the response part, a model v mod was used, res p res p which represents v as weighted orbital density contributions, the weights being res p determined by the orbital energies. v mod possesses the proper short-range behavior and res p the atomic-shell stepped structure characteristic for v . For the screening part, two res p model potentials v mod were used, one with the accurate Slater potential; the other one scr Ž . with the generalized gradient approximation GGA for the exchange part. Both use the GGA for the Coulomb correlation contribution to v . The scheme provides an adequate scr approximation to v in the outer-valence region with both the proper asymptotics and xc a rather accurate estimate of the ionization potential from the highest one-electron energy and a reasonable estimate of atomic E and total energies E .
📜 SIMILAR VOLUMES
In this article, we derive the analytical asymptotic structure in the Ž . classically forbidden region of atoms of the Kohn᎐Sham KS theory exchange᎐correlation Ž . KS w x Ž . KS w x potential defined as the functional derivative r s ␦ E r␦ r , where E is xc xc xc Ž . the KS exchange᎐correlation ene
The long-range asymptotic behavior of the exchange-correlation Ž . Kohn᎐Sham KS potential v and its relation to the exchange-correlation energy E are