Accurate and Efficient Method for Many-Body van der Waals Interactions
Open accessAbstract
An efficient method is developed for the microscopic description of the frequency-dependent polarizability of finite-gap molecules and solids. This is achieved by combining the Tkatchenko-Scheffler van der Waals (vdW) method [Phys. Rev. Lett. 102, 073005 (2009)] with the self-consistent screening equation of classical electrodynamics. This leads to a seamless description of polarization and depolarization for the polarizability tensor of molecules and solids. The screened long-range many-body vdW energy is obtained from the solution of the Schrödinger equation for a system of coupled oscillators. We show that the screening and the many-body vdW energy play a significant role even for rather small molecules, becoming crucial for an accurate treatment of conformational energies for biomolecules and binding of molecular crystals. The computational cost of the developed theory is negligible compared to the underlying electronic structure calculation.
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
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.
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 · see citing works
Grimme, S., Antony, J., Ehrlich, S., & Krieg, H. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3382344 · Cited by 59,686 · see citing works
Toward reliable density functional methods without adjustable parameters: The PBE0 model
Adamo, C., & Barone, V. (1999) · The Journal of Chemical Physics · doi:10.1063/1.478522 · Cited by 19,137 · see citing works
Tkatchenko, A., & Scheffler, M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.073005 · Cited by 6,286 · see citing works
Self-citationAb initio molecular simulations with numeric atom-centered orbitals
Blüm, 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 2,874 · see citing works
Self-citationDensity functional theory with London dispersion corrections
Grimme, S. (2011) · WIREs Computational Molecular Science · doi:10.1002/wcms.30 · Cited by 2,829 · see citing works
Higher-accuracy van der Waals density functional
Lee, K., Murray, É., Kong, L., Lundqvist, B. I., & Langreth, D. C. (2010) · Physical Review B · doi:10.1103/physrevb.82.081101 · Cited by 2,765 · see citing works
Jurečka, P., Šponer, J., Černý, J., & Hobza, P. (2006) · Physical Chemistry Chemical Physics · doi:10.1039/b600027d · Cited by 1,854 · see citing works
Interaction of the van der Waals Type Between Three Atoms
Axilrod, B. M., & Teller, E. (1943) · The Journal of Chemical Physics · doi:10.1063/1.1723844 · Cited by 1,685 · see citing works
Molecular polarizabilities calculated with a modified dipole interaction
Thole, B. T. (1981) · Chemical Physics · doi:10.1016/0301-0104(81)85176-2 · Cited by 1,157 · see citing works
Exchange-correlation energy of a metallic surface: Wave-vector analysis
Langreth, D. C., & Perdew, J. P. (1977) · Physical review. B, Solid state · doi:10.1103/physrevb.15.2884 · Cited by 1,047 · see citing works
Riley, K. E., Pitoňák, M., Jurečka, P., & Hobza, P. (2010) · Chemical Reviews · doi:10.1021/cr1000173 · Cited by 758 · see citing works
Enthalpies of Sublimation of Organic and Organometallic Compounds. 1910–2001
Chickos, J. S., & Acree, W. E. (2002) · Journal of Physical and Chemical Reference Data · doi:10.1063/1.1475333 · Cited by 551 · see citing works
Basis set consistent revision of the S22 test set of noncovalent interaction energies.
Takatani, T., Hohenstein, E., Malagoli, M., Marshall, M. S., & Sherrill, C. (2010) · Journal of Chemical Physics · doi:10.1063/1.3378024 · Cited by 314 · see citing works
Van der Waals Interactions Between Organic Adsorbates and at Organic/Inorganic Interfaces
Tkatchenko, A., Romaner, L., Hofmann, O. T., et al. (2010) · MRS Bulletin · doi:10.1557/mrs2010.581 · Cited by 288 · see citing works
Self-citationTwo- and three-body interatomic dispersion energy contributions to binding in molecules and solids
von Lilienfeld, O. A., & Tkatchenko, A. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3432765 · Cited by 239 · see citing works
Self-citationRen, X., Tkatchenko, A., Rinke, P., et al. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.153003 · Cited by 229 · see citing works
Self-citationvan der Waals Interactions in Density-Functional Theory: Intermolecular Complexes
Kannemann, F. O., & Becke, A. D. (2010) · Journal of Chemical Theory and Computation · doi:10.1021/ct900699r · Cited by 172 · see citing works
van der Waals Interactions in Ionic and Semiconductor Solids
Zhang, G., Tkatchenko, A., Paier, J. A., Appel, H., & Scheffler, M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.245501 · Cited by 168 · see citing works
Self-citationCox, E. G. (1958) · Reviews of Modern Physics · doi:10.1103/revmodphys.30.159 · Cited by 165 · see citing works
Ab initioCalculation of van der Waals Bonded Molecular Crystals
Lu, D., Li, Y., Rocca, D., & Galli, G. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.206411 · Cited by 153 · see citing works
Mayer, A. (2007) · Physical Review B · doi:10.1103/physrevb.75.045407 · Cited by 131 · see citing works
Unraveling the Stability of Polypeptide Helices: Critical Role of van der Waals Interactions
Tkatchenko, A., Rossi, M., Blüm, V., Ireta, J., & Scheffler, M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.118102 · Cited by 119 · see citing works
Self-citationA new expansion for dispersion forces and its application
Koide, A. (1976) · Journal of Physics B Atomic and Molecular Physics · doi:10.1088/0022-3700/9/18/009 · Cited by 119 · see citing works
DiStasio, R. A., Jung, Y., & Head‐Gordon, M. (2005) · Journal of Chemical Theory and Computation · doi:10.1021/ct050126s · Cited by 101 · see citing works
Self-citationCollisional polarizability anisotropies of the noble gases
Oxtoby, D. W., & Gelbart, W. M. (1975) · Molecular Physics · doi:10.1080/00268977500101371 · Cited by 98 · see citing works
Dobson, J. F., Wang, J., Dinte, B. P., McLennan, K. G., & Le, H. M. (2004) · International Journal of Quantum Chemistry · doi:10.1002/qua.20314 · Cited by 81 · see citing works
Many-body effects of dispersion interaction
Donchev, A. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2337283 · Cited by 78 · see citing works
On the propagation and scattering of light in fluids
Felderhof, B. U. (1974) · Physica · doi:10.1016/0031-8914(74)90155-4 · Cited by 66 · see citing works
Nanoscale van der Waals interactions
Cole, M. W., Velegol, D., Kim, H.-Y., et al. (2009) · Molecular Simulation · doi:10.1080/08927020902929794 · Cited by 62 · see citing works
Mayer, A., & Åstrand, P. (2008) · The Journal of Physical Chemistry A · doi:10.1021/jp075643g · Cited by 42 · see citing works
Whitfield, T. W., & Martyna, G. J. (2006) · Chemical Physics Letters · doi:10.1016/j.cplett.2006.04.035 · Cited by 36 · see citing works
Botti, S., Castro, A., Andrade, X., Rubio, Á., & Marques, M. A. L. (2008) · Physical Review B · doi:10.1103/physrevb.78.035333 · Cited by 28 · see citing works
Dipole oscillator strength properties and dispersion energies for SiH4
Kumar, A., Kumar, M., & Meath, W. J. (2002) · Chemical Physics · doi:10.1016/s0301-0104(02)00926-6 · Cited by 20 · see citing works
Validity Comparison Between Asymptotic Dispersion Energy Formalisms for Nanomaterials
Dobson, J. F. (2009) · Journal of Computational and Theoretical Nanoscience · doi:10.1166/jctn.2009.1131 · Cited by 9 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Advanced capabilities for materials modelling with Q <scp>uantum</scp> ESPRESSO
Giannozzi, P., Andreussi, O., Brumme, T., Bunau, O., Buongiorno Nardelli, M., Calandra, M., Car, R., Cavazzoni, C., Ceresoli, D., Cococcioni, M., et al. (2017) · Journal of Physics: Condensed Matter · doi:10.1088/1361-648x/aa8f79 · Cited by 8,361 · see citing works
Self-citationIntrinsic Bond Energies from a Bonds-in-Molecules Neural Network
Yao, K., Herr, J. E., Brown, S. N., & Parkhill, J. (2017) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.7b01072 · Cited by 126 · see citing works
- Authors
- Tkatchenko, A., DiStasio, R. A., Car, R., & Scheffler, M.
- Affiliations
- Fritz Haber Institute of the Max Planck Society (DE)
- Princeton University (US)
- Max Planck Society (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-06-07
- Volume
- 108
- Issue
- 23
- Pages
- 236402-236402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2020072134
- Cited by
- 1,528
- References
- 35
- Citations by year
- 2026: 83 · 2025: 144 · 2024: 113 · 2023: 115 · 2022: 117 · 2021: 119 · 2020: 124 · 2019: 121 · 2018: 126 · 2017: 112 · 2016: 116 · 2015: 90 · 2014: 77 · 2013: 54 · 2012: 17
- FWCI
- 39.19
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Physical Review Letters (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Open Repository and Bibliography (University of Luxembourg) (submittedVersion, other-oa)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, cc-by)
- Funders
- U.S. Department of Energy
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Advanced Physical and Chemical Molecular Interactions
- Physical Sciences › Chemistry › Physical and Theoretical Chemistry › Crystallography and molecular interactions
- Keywords
- van der Waals interactions, many-body dispersion, frequency-dependent polarizability, self-consistent screening, coupled oscillators, conformational energy, biomolecules, molecular crystals, binding energy
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