The DOI matches its Crossref record; 80 of the 80 references it cites were found in a registry or an index.
Benchmarking of London Dispersion-Accounting Density Functional Theory Methods on Very Large Molecular Complexes
Abstract
A new test set (S12L) containing 12 supramolecular noncovalently bound complexes is presented and used to evaluate seven different methods to account for dispersion in DFT (DFT-D3, DFT-D2, DFT-NL, XDM, dDsC, TS-vdW, M06-L) at different basis set levels against experimental, back-corrected reference energies. This allows conclusions about the performance of each method in an explorative research setting on "real-life" problems. Most DFT methods show satisfactory performance but, due to the largeness of the complexes, almost always require an explicit correction for the nonadditive Axilrod-Teller-Muto three-body dispersion interaction to get accurate results. The necessity of using a method capable of accounting for dispersion is clearly demonstrated in that the two-body dispersion contributions are on the order of 20-150% of the total interaction energy. MP2 and some variants thereof are shown to be insufficient for this while a few tested D3-corrected semiempirical MO methods perform reasonably well. Overall, we suggest the use of this benchmark set as a "sanity check" against overfitting to too small molecular cases.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
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
Lee, C., Yang, W., & Parr, R. G. (1988) · Physical Review B · doi:10.1103/physrevb.37.785 · Cited by 100,874
Grimme, S., Antony, J., Ehrlich, S., & Krieg, H. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3382344 · Cited by 59,686
Self-citationDunning, 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
Zhao, Y., & Truhlar, D. G. (2008) · Theoretical Chemistry Accounts · doi:10.1007/s00214-007-0310-x · Cited by 30,302
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
Self-citationBoys, S. F., & Bernardi, F. (1970) · Molecular Physics · doi:10.1080/00268977000101561 · Cited by 22,188
Hehre, W. J., Ditchfield, R., & Pople, J. A. (1972) · The Journal of Chemical Physics · doi:10.1063/1.1677527 · Cited by 15,855
Generalized Gradient Approximation Made Simple [Phys. Rev. Lett. 77, 3865 (1996)]
Perdew, J. P., Burke, K., & Ernzerhof, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.1396 · Cited by 14,614
Ditchfield, R., Hehre, W. J., & Pople, J. A. (1971) · The Journal of Chemical Physics · doi:10.1063/1.1674902 · Cited by 10,612
te Velde, G., Bickelhaupt, F. M., Baerends, E. J., Fonseca Guerra, C., van Gisbergen, S. J. A., Snijders, J. G., & Ziegler, T. (2001) · Journal of Computational Chemistry · doi:10.1002/jcc.1056 · Cited by 10,152
Fully optimized contracted Gaussian basis sets for atoms Li to Kr
Schäfer, A., Horn, H., & Ahlrichs, R. (1992) · The Journal of Chemical Physics · doi:10.1063/1.463096 · Cited by 9,610
Woon, D. E., & Dunning, T. H. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464303 · Cited by 9,493
Fully optimized contracted Gaussian basis sets of triple zeta valence quality for atoms Li to Kr
Schäfer, A., Huber, C., & Ahlrichs, R. (1994) · The Journal of Chemical Physics · doi:10.1063/1.467146 · Cited by 9,169
Accurate Coulomb-fitting basis sets for H to Rn
Weigend, F. (2006) · Physical Chemistry Chemical Physics · doi:10.1039/b515623h · Cited by 8,994
Tkatchenko, A., & Scheffler, M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.073005 · Cited by 6,286
Zhao, Y., & Truhlar, D. G. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2370993 · Cited by 5,154
Stewart, J. J. P. (2007) · Journal of Molecular Modeling · doi:10.1007/s00894-007-0233-4 · Cited by 3,619
Eichkorn, K., Weigend, F., Treutler, O., & Ahlrichs, R. (1997) · Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) · doi:10.1007/s002140050244 · Cited by 3,466
Ab initio molecular simulations with numeric atom-centered orbitals
Blum, V., Gehrke, R., Hanke, F., Havu, P., Havu, V., Ren, X., Reuter, K., & Scheffler, M. (2009) · Computer Physics Communications · doi:10.1016/j.cpc.2009.06.022 · Cited by 2,919
Optimized Slater‐type basis sets for the elements 1–118
Van Lenthe, E., & Baerends, E. J. (2003) · Journal of Computational Chemistry · doi:10.1002/jcc.10255 · Cited by 2,902
Density functional theory with London dispersion corrections
Grimme, S. (2011) · WIREs Computational Molecular Science · doi:10.1002/wcms.30 · Cited by 2,829
Self-citationAdvances in methods and algorithms in a modern quantum chemistry program package
Shao, Y., Molnar, L. F., Jung, Y., Kussmann, J., Ochsenfeld, C., Brown, S. T., Gilbert, A. T. B., Slipchenko, L. V., Levchenko, S. V., O’Neill, D. P., et al. (2006) · Phys. Chem. Chem. Phys. · doi:10.1039/b517914a · Cited by 2,799
RI-MP2: optimized auxiliary basis sets and demonstration of efficiency
Weigend, F., Häser, M., Patzelt, H., & Ahlrichs, R. (1998) · Chemical Physics Letters · doi:10.1016/s0009-2614(98)00862-8 · Cited by 2,782
Towards an order- N DFT method
Fonseca Guerra, C., Snijders, J. G., te Velde, G., & Baerends, E. J. (1998) · Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) · doi:10.1007/s002140050353 · Cited by 2,742
Basis-set convergence in correlated calculations on Ne, N2, and H2O
Halkier, A., Helgaker, T., Jørgensen, P., Klopper, W., Koch, H., Olsen, J., & Wilson, A. K. (1998) · Chemical Physics Letters · doi:10.1016/s0009-2614(98)00111-0 · Cited by 2,192
Supramolecular Binding Thermodynamics by Dispersion‐Corrected Density Functional Theory
Grimme, S. (2012) · Chemistry – A European Journal · doi:10.1002/chem.201200497 · Cited by 2,111
Self-citationProperty-optimized Gaussian basis sets for molecular response calculations
Rappoport, D., & Furche, F. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3484283 · Cited by 2,037
Goerigk, L., & Grimme, S. (2011) · Physical Chemistry Chemical Physics · doi:10.1039/c0cp02984j · Cited by 2,004
Self-citationJurečka, P., Šponer, J., Černý, J., & Hobza, P. (2006) · Phys. Chem. Chem. Phys. · doi:10.1039/b600027d · Cited by 1,852
Zhao, Y., & Truhlar, D. G. (2005) · The Journal of Physical Chemistry A · doi:10.1021/jp050536c · Cited by 1,708
Theory of Intermolecular Forces
(1969) · Elsevier eBooks · doi:10.1016/c2013-0-02436-x · Cited by 1,680
Auxiliary basis sets to approximate Coulomb potentials (Chem. Phys. Letters 240 (1995) 283-290)
Eichkorn, K., Treutler, O., Öhm, H., Häser, M., & Ahlrichs, R. (1995) · Chemical Physics Letters · doi:10.1016/0009-2614(95)00838-u · Cited by 1,637
Accurate and Efficient Method for Many-Body van der Waals Interactions
Tkatchenko, A., DiStasio, R. A., Car, R., & Scheffler, M. (2012) · Physical Review Letters · doi:10.1103/physrevlett.108.236402 · Cited by 1,528
The Theory of Intermolecular Forces
Stone, A. J. (1996) · doi:10.1093/oso/9780198558842.001.0001 · Cited by 1,482
Balabanov, N. B., & Peterson, K. A. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1998907 · Cited by 1,450
Nonlocal van der Waals density functional: The simpler the better
Vydrov, O. A., & Van Voorhis, T. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3521275 · Cited by 1,312
Van der Waals density functional: Self-consistent potential and the nature of the van der Waals bond
Thonhauser, T., Cooper, V. R., Li, S., Puzder, A., Hyldgaard, P., & Langreth, D. C. (2007) · Physical Review B · doi:10.1103/physrevb.76.125112 · Cited by 1,235
A post-Hartree-Fock model of intermolecular interactions: Inclusion of higher-order corrections
Johnson, E. R., & Becke, A. D. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2190220 · Cited by 1,222
Gaussian basis sets of quadruple zeta valence quality for atoms H–Kr
Weigend, F., Furche, F., & Ahlrichs, R. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1627293 · Cited by 1,204
Klimeš, J., & Michaelides, A. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4754130 · Cited by 1,125
S66: A Well-balanced Database of Benchmark Interaction Energies Relevant to Biomolecular Structures
Řezáč, J., Riley, K. E., & Hobza, P. (2011) · Journal of Chemical Theory and Computation · doi:10.1021/ct2002946 · Cited by 1,019
Can (semi)local density functional theory account for the London dispersion forces?
Kristyán, S., & Pulay, P. (1994) · Chemical Physics Letters · doi:10.1016/0009-2614(94)01027-7 · Cited by 1,018
Parametrization and Benchmark of DFTB3 for Organic Molecules
Gaus, M., Goez, A., & Elstner, M. (2013) · Journal of Chemical Theory and Computation · doi:10.1021/ct300849w · Cited by 1,015
A post-Hartree–Fock model of intermolecular interactions
Johnson, E. R., & Becke, A. D. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1949201 · Cited by 1,004
Benchmark Databases for Nonbonded Interactions and Their Use To Test Density Functional Theory
Zhao, Y., & Truhlar, D. G. (2005) · Journal of Chemical Theory and Computation · doi:10.1021/ct049851d · Cited by 876
Exchange holes in inhomogeneous systems: A coordinate-space model
Becke, A. D., & Roussel, M. R. (1989) · Physical Review A · doi:10.1103/physreva.39.3761 · Cited by 848
Burns, L. A., Mayagoitia, Á. V., Sumpter, B. G., & Sherrill, C. D. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3545971 · Cited by 737
Basis-set convergence of the energy in molecular Hartree–Fock calculations
Asger Halkier, A., Helgaker, T. U., Jørgensen, P., Klopper, W., & Olsen, J. (1999) · Chemical Physics Letters · doi:10.1016/s0009-2614(99)00179-7 · Cited by 692
Exchange-hole dipole moment and the dispersion interaction
Becke, A. D., & Johnson, E. R. (2005) · The Journal of Chemical Physics · doi:10.1063/1.1884601 · Cited by 629
Density functional theory and molecular clusters
Hobza, P., šponer, J., & Reschel, T. (1995) · Journal of Computational Chemistry · doi:10.1002/jcc.540161102 · Cited by 530
A density-functional study of van der Waals forces: rare gas diatomics
Pérez-Jordá, J., & Becke, A. D. (1995) · Chemical Physics Letters · doi:10.1016/0009-2614(94)01402-h · Cited by 519
Comprehensive Benchmarking of a Density-Dependent Dispersion Correction
Steinmann, S. N., & Corminboeuf, C. (2011) · Journal of Chemical Theory and Computation · doi:10.1021/ct200602x · Cited by 497
A standard grid for density functional calculations
Gill, P. M. W., Johnson, B. G., & Pople, J. A. (1993) · Chemical Physics Letters · doi:10.1016/0009-2614(93)80125-9 · Cited by 477
Orthogonalization corrections for semiempirical methods
Weber, W., & Thiel, W. (2000) · Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) · doi:10.1007/s002149900083 · Cited by 421
Comment on “Comment on Dunning's correlation-consistent basis sets”
Davidson, E. R. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00917-7 · Cited by 414
A generalized-gradient approximation exchange hole model for dispersion coefficients
Steinmann, S. N., & Corminboeuf, C. (2011) · The Journal of Chemical Physics · doi:10.1063/1.3545985 · Cited by 363
Intermolecular Interactions: Physical Picture, Computational Methods and Model Potentials
Kaplan, I. G. (2006) · Wiley eBooks · doi:10.1002/047086334x · Cited by 354
Benchmark Calculations of Noncovalent Interactions of Halogenated Molecules
Řezáč, J., Riley, K. E., & Hobza, P. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct300647k · Cited by 325
Nguyen, C. N., Kurtzman Young, T., & Gilson, M. K. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4733951 · Cited by 324
Hujo, W., & Grimme, S. (2011) · Journal of Chemical Theory and Computation · doi:10.1021/ct200644w · Cited by 274
Self-citationA Transferable H-Bonding Correction for Semiempirical Quantum-Chemical Methods
Korth, M., Pitoňák, M., Řezáč, J., & Hobza, P. (2010) · Journal of Chemical Theory and Computation · doi:10.1021/ct900541n · Cited by 272
Gráfová, L., Pitoňák, M., Řezáč, J., & Hobza, P. (2010) · Journal of Chemical Theory and Computation · doi:10.1021/ct1002253 · Cited by 261
Van der Waals interactions in solids using the exchange-hole dipole moment model
Otero-de-la-Roza, A., & Johnson, E. R. (2012) · The Journal of Chemical Physics · doi:10.1063/1.4705760 · Cited by 253
Performance of dispersion-corrected density functional theory for the interactions in ionic liquids
Grimme, S., Hujo, W., & Kirchner, B. (2012) · Physical Chemistry Chemical Physics · doi:10.1039/c2cp24096c · Cited by 248
Self-citationSpin‐component‐scaled electron correlation methods
Grimme, S., Goerigk, L., & Fink, R. F. (2012) · WIREs Computational Molecular Science · doi:10.1002/wcms.1110 · Cited by 248
Self-citationTwo- and three-body interatomic dispersion energy contributions to binding in molecules and solids
Anatole von Lilienfeld, O., & Tkatchenko, A. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3432765 · Cited by 239
Arbitrary-Order Density Functional Response Theory from Automatic Differentiation
Ekström, U., Visscher, L., Bast, R., Thorvaldsen, A. J., & Ruud, K. (2010) · Journal of Chemical Theory and Computation · doi:10.1021/ct100117s · Cited by 227
On the Importance of Electron Correlation Effects for the π‐π Interactions in Cyclophanes
Grimme, S. (2004) · Chemistry – A European Journal · doi:10.1002/chem.200400091 · Cited by 168
Self-citationTkatchenko, A., Alfè, D., & Kim, K. S. (2012) · Journal of Chemical Theory and Computation · doi:10.1021/ct300711r · Cited by 122
Füsti-Molnár, L., & Pulay, P. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1510121 · Cited by 96
Tkatchenko, A., & von Lilienfeld, O. A. (2008) · Physical Review B · doi:10.1103/physrevb.78.045116 · Cited by 86
Density-functional study of van der Waals forces on rare-gas diatomics: Hartree–Fock exchange
Pérez‐Jordá, J. M., San‐Fabián, E., & Pérez-Jiménez, Á. J. (1999) · The Journal of Chemical Physics · doi:10.1063/1.477858 · Cited by 86
Füsti-Molnár, L., & Pulay, P. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1467901 · Cited by 79
Accurate Computation of Gas Uptake in Microporous Organic Molecular Crystals
Li, W., Grimme, S., Krieg, H., Moellmann, J., & Zhang, J. (2012) · The Journal of Physical Chemistry C · doi:10.1021/jp2112632 · Cited by 45
Self-citationSemiempirische Verfahren mit Orthogonalisierungskorrekturen: Die OM3 Methode
Scholten, M. (2003) · Univ. Duesseldorf: Duesseldorfer Dokumenten- und Publikationsserver · Cited by 29
Füsti-Molnár, L. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1622922 · Cited by 25
Yu, J.-S., Wu, F., Zhou, Y. M., Zheng, Y.-Z., & Yu, Z. (2012) · Physical Chemistry Chemical Physics · doi:10.1039/c2cp40629b · Cited by 15
Cited by
Design of electrocatalysts for oxygen- and hydrogen-involving energy conversion reactions
Jiao, Y., Zheng, Y., Jaroniec, M., & Qiao, S. Z. (2015) · Chemical Society Reviews · doi:10.1039/c4cs00470a · Cited by 5,388
B97-3c: A revised low-cost variant of the B97-D density functional method
Brandenburg, J. G., Bannwarth, C., Hansen, A., & Grimme, S. (2018) · The Journal of Chemical Physics · doi:10.1063/1.5012601 · Cited by 760
Self-citation
Metadata
- Authors
- Risthaus, T., & Grimme, S.
- Venue
- Journal of Chemical Theory and Computation
- Publisher
- American Chemical Society (ACS)
- Published
- 2013-02-14
- Volume
- 9
- Issue
- 3
- Pages
- 1580-1591
- ISSN
- 1549-9618 (ISSN-L)
- 1549-9626
- OpenAlex
- W2316928488
- Cited by
- 423
- References
- 80
- FWCI
- 30.33
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.