Some thoughts about the stability and reliability of commonly used exchange–correlation functionals – coverage of dynamic and nondynamic correlation effects |
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Authors: | Victor Polo Elfi Kraka Dieter Cremer |
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Institution: | Department of Theoretical Chemistry, G?teborg University Reutersgatan 2, 41320 G?teborg, Sweden, SE
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Abstract: | The self-interaction error (SIE) of commonly used density functional theory (DFT) exchange functionals mimics long-range
(nondynamic) pair correlation effects in an unspecified way. Slater exchange suffers from a larger SIE and, therefore, covers
more nondynamic correlation effects than Becke exchange, which is the reason why exchange–correlation (XC) functionals based
on Slater exchange lead to stabler restricted DFT solutions than those based on Becke exchange. However, the stability of
an XC functional does not guarantee higher accuracy. On the contrary, if system-specific nondynamic correlation effects have
to be introduced via the form of the wave function, these will be suppressed by nondynamic correlation effects already covered
by the exchange functional. Hybrid functionals suffer less from the SIE and, therefore, cover a smaller number of nondynamic
electron correlation effects. Accordingly, they are better suited when nondynamic electron correlation has to be introduced
by the form of the wave function. It is shown that, for example, broken-symmetry unrestricted DFT calculations are more accurate
when carried out with B3LYP than BLYP contrary to claims made in the literature.
Received: 8 November 2001 / Accepted: 30 January 2002 / Published online: 8 April 2002 |
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Keywords: | : DFT – Self-interaction error – SIC-DFT – Exchange effects – Correlation effects – Long-range correlation |
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