Abstract
We propose a new long-range correction scheme that combines generalized-gradient-approximation (GGA) exchange functionals in density-functional theory (DFT) with the ab initio Hartree–Fock exchange integral by using the standard error function. To develop this scheme, we suggest a new technique that constructs an approximate first-order density matrix that corresponds to a GGA exchange functional. The calculated results of the long-range correction scheme are found to support a previous argument that the lack of the long-range interactions in conventional exchange functionals may be responsible for the underestimation of 4s−3d interconfigurational energies of the first-row transition metals and for the overestimation of the longitudinal polarizabilities of π-conjugated polyenes in DFT calculations.
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@article{Iikura_2001, title={A long-range correction scheme for generalized-gradient-approximation exchange functionals}, volume={115}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1383587}, DOI={10.1063/1.1383587}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Iikura, Hisayoshi and Tsuneda, Takao and Yanai, Takeshi and Hirao, Kimihiko}, year={2001}, month=aug, pages={3540–3544} }