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Rationale for mixing exact exchange with density functional approximations

Perdew, John P., Ernzerhof, Matthias, Burke, Kieron·1996·The Journal of Chemical Physics

Abstract

Density functional approximations for the exchange-correlation energy EDFAxc of an electronic system are often improved by admixing some exact exchange Ex: Exc≊EDFAxc+(1/n)(Ex−EDFAx). This procedure is justified when the error in EDFAxc arises from the λ=0 or exchange end of the coupling-constant integral ∫10 dλ EDFAxc,λ. We argue that the optimum integer n is approximately the lowest order of Görling–Levy perturbation theory which provides a realistic description of the coupling-constant dependence Exc,λ in the range 0≤λ≤1, whence n≊4 for atomization energies of typical molecules. We also propose a continuous generalization of n as an index of correlation strength, and a possible mixing of second-order perturbation theory with the generalized gradient approximation.

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Metadata

Authors
Perdew, J. P., Ernzerhof, M., & Burke, K.
Venue
The Journal of Chemical Physics
Published
1996-12-08
Volume
105
Issue
22
Pages
9982-9985
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2023390323
Cited by
6,629
References
4
FWCI
13.20
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Rationale for mixing exact exchange with density functional approximations. https://app.cochat.ai/papers/10.1063/1.472933
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Perdew, J. P., Ernzerhof, M., & Burke, K. (1996). Rationale for mixing exact exchange with density functional approximations. The Journal of Chemical Physics. https://doi.org/10.1063/1.472933

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