The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
The Perdew–Burke–Ernzerhof exchange-correlation functional applied to the G2-1 test set using a plane-wave basis set
Abstract
Present local and semilocal functionals show significant errors, for instance, in the energetics of small molecules and in the description of band gaps. One possible solution to these problems is the introduction of exact exchange and hybrid functionals. A plane-wave-based algorithm was implemented in VASP (Vienna ab-initio simulation package) to allow for the calculation of the exact exchange. To systematically assess the precision of the present implementation, calculations for the 55 molecules of the G2-1 quantum chemical test set were performed applying the PBE and PBE0 functionals. Excellent agreement for both atomization energies and geometries compared with the results obtained by GAUSSIAN 03 calculations using large basis sets (augmented correlation consistent polarized valence quadruple zeta for the geometry optimization and augmented correlation-consistent polarized valence quintuple zeta for the energy calculations) was found. The mean absolute error for atomization energies between VASP and the experiment is 8.6 and 3.7kcal∕mol, as calculated with the PBE and PBE0 functionals, respectively. The mean deviations between VASP and GAUSSIAN are 0.46 and 0.49kcal∕mol for the PBE and PBE0 functionals, respectively.
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
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
Kresse, G., & Furthmüller, J. (1996) · Physical Review B · doi:10.1103/physrevb.54.11169 · Cited by 123,652
Self-citationProjector augmented-wave method
Blöchl, P. E. (1994) · Physical Review B · doi:10.1103/physrevb.50.17953 · Cited by 92,732
From ultrasoft pseudopotentials to the projector augmented-wave method
Kresse, G., & Joubert, D. (1999) · Physical Review B · doi:10.1103/physrevb.59.1758 · Cited by 85,307
Self-citationKresse, G., & Furthmüller, J. (1996) · Computational Materials Science · doi:10.1016/0927-0256(96)00008-0 · Cited by 75,638
Self-citationDunning, T. H. (1989) · The Journal of Chemical Physics · doi:10.1063/1.456153 · Cited by 31,648
Soft self-consistent pseudopotentials in a generalized eigenvalue formalism
Vanderbilt, D. (1990) · Physical Review B · doi:10.1103/physrevb.41.7892 · Cited by 23,185
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
Electron affinities of the first-row atoms revisited. Systematic basis sets and wave functions
Kendall, R. A., Dunning, T. H., & Harrison, R. J. (1992) · The Journal of Chemical Physics · doi:10.1063/1.462569 · Cited by 15,496
Woon, D. E., & Dunning, T. H. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464303 · Cited by 9,493
Cited by
Advanced capabilities for materials modelling with Q uantum 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
Van der Waals density functionals applied to solids
Klimeš, J., Bowler, D. R., & Michaelides, A. (2011) · Physical Review B · doi:10.1103/physrevb.83.195131 · Cited by 4,624
Reproducibility in density functional theory calculations of solids
Lejaeghere, K., Bihlmayer, G., Björkman, T., Blaha, P., Blügel, S., Blum, V., Caliste, D., Castelli, I. E., Clark, S. J., Dal Corso, A., et al. (2016) · Science · doi:10.1126/science.aad3000 · Cited by 1,649
Self-citationDensity functional theory for transition metals and transition metal chemistry
Cramer, C. J., & Truhlar, D. G. (2009) · Physical Chemistry Chemical Physics · doi:10.1039/b907148b · Cited by 1,648
Absolute energy level positions in tin- and lead-based halide perovskites
Tao, S., Schmidt, I., Brocks, G., Jiang, J., Tranca, I., Meerholz, K., & Olthof, S. (2019) · Nature Communications · doi:10.1038/s41467-019-10468-7 · Cited by 734
Metadata
- Authors
- Paier, J., Hirschl, R., Marsman, M., & Kresse, G.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 2005-06-15
- Volume
- 122
- Issue
- 23
- Pages
- 234102-234102
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2089524679
- Cited by
- 1,051
- References
- 31
- FWCI
- 12.91
- 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: The Perdew–Burke–Ernzerhof exchange-correlation functional applied to the G2-1 test set using a plane-wave basis set. https://app.cochat.ai/papers/10.1063/1.1926272
- The paper
- Paier, J., Hirschl, R., Marsman, M., & Kresse, G. (2005). The Perdew–Burke–Ernzerhof exchange-correlation functional applied to the G2-1 test set using a plane-wave basis set. The Journal of Chemical Physics. https://doi.org/10.1063/1.1926272
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.