The DOI matches its Crossref record; 154 of the 154 references it cites were found in a registry or an index.
Double‐hybrid density functionals
Abstract
Double‐hybrid density functionals (DHDFs) are reviewed in this study. In DHDFs parts of conventional density functional theory (DFT) exchange and correlation are replaced by contributions from nonlocal Fock‐exchange and second‐order perturbative correlation. The latter portion is based on the well‐known MP2 wave‐function approach in which, however, Kohn–Sham orbitals are used to calculate its contribution. First, related methods preceding this idea are reviewed, followed by a thorough discussion of the first modern double‐hybrid B2‐PLYP. Parallels and differences between B2‐PLYP and its various successors are then outlined. This discussion is rounded off with representative thermochemical examples demonstrating that DHDFs belong to the most robust and accurate DFT approaches currently available. This analysis also presents hitherto unpublished results for recently developed DHDFs. Finally, how double‐hybrids can be combined with linear‐response time‐dependent DFT is also outlined and the value of this approach for electronically excited states is shown. WIREs Comput Mol Sci 2014, 4:576–600. doi: 10.1002/wcms.1193 This article is categorized under: Electronic Structure Theory > Density Functional Theory
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Generalized Gradient Approximation Made Simple
Perdew, J. P., Burke, K., & Ernzerhof, M. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3865 · Cited by 215,824
Density-functional thermochemistry. III. The role of exact exchange
Becke, A. D. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464913 · Cited by 103,767
Lee, C., Yang, W., & Parr, R. G. (1988) · Physical Review B · doi:10.1103/physrevb.37.785 · Cited by 100,874
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Grimme, S., Antony, J., Ehrlich, S., & Krieg, H. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3382344 · Cited by 59,686
Self-citationDensity-functional exchange-energy approximation with correct asymptotic behavior
Becke, A. D. (1988) · Physical Review A · doi:10.1103/physreva.38.3098 · Cited by 53,711
Dunning, T. H. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456153 · Cited by 31,648
Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction
Grimme, S. (2006) · Journal of Computational Chemistry · doi:10.1002/jcc.20495 · Cited by 31,038
Self-citationWeigend, F., & Ahlrichs, R. (2005) · Physical Chemistry Chemical Physics · doi:10.1039/b508541a · Cited by 30,598
Effect of the damping function in dispersion corrected density functional theory
Grimme, S., Ehrlich, S., & Goerigk, L. (2011) · Journal of Computational Chemistry · doi:10.1002/jcc.21759 · Cited by 28,221
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Mardirossian, N., & Head-Gordon, M. (2017) · Molecular Physics · doi:10.1080/00268976.2017.1333644 · Cited by 2,307
Status and Challenges of Density Functional Theory
Verma, P., & Truhlar, D. G. (2020) · Trends in Chemistry · doi:10.1016/j.trechm.2020.02.005 · Cited by 429
Density Functional Theory for Electrocatalysis
Liao, X., Lu, R., Xia, L., Liu, Q., Wang, H., Zhao, K., Wang, Z., & Zhao, Y. (2022) · ENERGY & ENVIRONMENTAL MATERIALS · doi:10.1002/eem2.12204 · Cited by 420
Combining Wave Function Methods with Density Functional Theory for Excited States
Ghosh, S., Verma, P., Cramer, C. J., Gagliardi, L., & Truhlar, D. G. (2018) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00193 · Cited by 253
Metadata
- Authors
- Goerigk, L., & Grimme, S.
- Venue
- WIREs Computational Molecular Science
- Publisher
- Wiley
- Published
- 2014-07-25
- Volume
- 4
- Issue
- 6
- Pages
- 576-600
- ISSN
- 1759-0876 (ISSN-L)
- 1759-0884
- OpenAlex
- W2139958207
- Cited by
- 396
- References
- 154
- FWCI
- 14.97
- Type
- journal article
- Language
- en
- Open access
- closed
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