The DOI matches its Crossref record; 90 of the 90 references it cites were found in a registry or an index.
Benchmarking the performance of time-dependent density functional methods
Abstract
The performance of 24 density functionals, including 14 meta-generalized gradient approximation (mGGA) functionals, is assessed for the calculation of vertical excitation energies against an experimental benchmark set comprising 14 small- to medium-sized compounds with 101 total excited states. The experimental benchmark set consists of singlet, triplet, valence, and Rydberg excited states. The global-hybrid (GH) version of the Perdew-Burke-Ernzerhoff GGA density functional (PBE0) is found to offer the best overall performance with a mean absolute error (MAE) of 0.28 eV. The GH-mGGA Minnesota 2006 density functional with 54% Hartree-Fock exchange (M06-2X) gives a lower MAE of 0.26 eV, but this functional encounters some convergence problems in the ground state. The local density approximation functional consisting of the Slater exchange and Volk-Wilk-Nusair correlation functional (SVWN) outperformed all non-GH GGAs tested. The best pure density functional performance is obtained with the local version of the Minnesota 2006 mGGA density functional (M06-L) with an MAE of 0.41 eV.
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
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
Density-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
Zhao, Y., & Truhlar, D. G. (2008) · Theoretical Chemistry Accounts · doi:10.1007/s00214-007-0310-x · Cited by 30,302
Accurate and simple analytic representation of the electron-gas correlation energy
Perdew, J. P., & Wang, Y. (1992) · Physical Review B · doi:10.1103/physrevb.45.13244 · Cited by 25,089
Stephens, P. J., Devlin, F. J., Chabalowski, C. F., & Frisch, M. J. (1994) · The Journal of Physical Chemistry · doi:10.1021/j100096a001 · Cited by 23,248
Perdew, J. P., Chevary, J. A., Vosko, S. H., Jackson, K. A., Pederson, M. R., Singh, D. J., & Fiolhais, C. (1992) · Physical Review B · doi:10.1103/physrevb.46.6671 · Cited by 22,269
Vosko, S. H., Wilk, L., & Nusair, M. (1980) · Canadian Journal of Physics · doi:10.1139/p80-159 · Cited by 20,768
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 19,042
Cited by
Recent developments in the general atomic and molecular electronic structure system
Barca, G. M. J., Bertoni, C., Carrington, L., Datta, D., De Silva, N., Deustua, J. E., Fedorov, D. G., Gour, J. R., Gunina, A. O., Guidez, E., et al. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0005188 · Cited by 1,443
Self-citationLaurent, A. D., & Jacquemin, D. (2013) · International Journal of Quantum Chemistry · doi:10.1002/qua.24438 · Cited by 1,382
Peverati, R., & Truhlar, D. G. (2014) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2012.0476 · Cited by 734
Choosing a Functional for Computing Absorption and Fluorescence Band Shapes with TD-DFT
Charaf-Eddin, A., Planchat, A., Mennucci, B., Adamo, C., & Jacquemin, D. (2013) · Journal of Chemical Theory and Computation · doi:10.1021/ct4000795 · Cited by 286
Metadata
- Authors
- Leang, S. S., Zahariev, F., & Gordon, M. S.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2012-03-08
- Volume
- 136
- Issue
- 10
- Pages
- 104101-104101
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2093898784
- Cited by
- 340
- References
- 90
- FWCI
- 19.11
- 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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Benchmarking the performance of time-dependent density functional methods. https://app.cochat.ai/papers/10.1063/1.3689445
- The paper
- Leang, S. S., Zahariev, F., & Gordon, M. S. (2012). Benchmarking the performance of time-dependent density functional methods. The Journal of Chemical Physics. https://doi.org/10.1063/1.3689445
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.
