The DOI matches its Crossref record; 23 of the 23 references it cites were found in a registry or an index.
Self-consistent approximation to the Kohn-Sham exchange potential
Open accessAbstract
A scheme of approximation of the Kohn-Sham exchange potential ${\mathit{v}}_{\mathit{x}}$ is proposed, making use of a partitioning of ${\mathit{v}}_{\mathit{x}}$ into the long-range Slater ${\mathit{v}}_{\mathit{S}}$ and the short-range response ${\mathit{v}}_{\mathrm{resp}}$ components. A model potential ${\mathit{v}}_{\mathrm{resp}}^{\mathrm{mod}}$ has been derived from dimensional arguments. It possesses the proper short-range behavior and the atomic-shell stepped structure characteristic for ${\mathit{v}}_{\mathrm{resp}}$. When combined with the accurate ${\mathit{v}}_{\mathit{S}}$, ${\mathit{v}}_{\mathrm{resp}}^{\mathrm{mod}}$ provides an excellent approximation to the exchange potential of the optimized potential model ${\mathit{v}}_{\mathit{x}}^{\mathrm{OPM}}$. With the generalized-gradient approximation to ${\mathit{v}}_{\mathit{S}}$ ${\mathit{v}}_{\mathrm{resp}}^{\mathrm{mod}}$ provides an efficient density-functional-theory approach that fits closely the form of the accurate exchange potential and yields reasonably accurate exchange and total energies as well as the energy of the highest occupied orbital.
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
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
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
Hohenberg, P., & Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.136.b864 · Cited by 53,541
Ground State of the Electron Gas by a Stochastic Method
Ceperley, D. M., & Alder, B. J. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.566 · Cited by 14,384
Density-functional theory of atoms and molecules
Patterson, J. D. (1989) · Annals of Nuclear Energy · doi:10.1016/0306-4549(89)90016-9 · Cited by 12,545
Über die Zuordnung von Wellenfunktionen und Eigenwerten zu den Einzelnen Elektronen Eines Atoms
Koopmans, T. (1934) · Physica · doi:10.1016/s0031-8914(34)90011-2 · Cited by 7,754
A local exchange-correlation potential for the spin polarized case. i
Barth, U. V., & Hedin, L. (1972) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/5/13/012 · Cited by 5,434
A Simplification of the Hartree-Fock Method
Slater, J. C. (1951) · Physical Review · doi:10.1103/physrev.81.385 · Cited by 4,584
Explicit local exchange-correlation potentials
Hedin, L., & Lundqvist, B. I. (1971) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/4/14/022 · Cited by 3,337
Cited by
WIEN2k: An APW+lo program for calculating the properties of solids
Blaha, P., Schwarz, K., Tran, F., Laskowski, R., Madsen, G. K. H., & Marks, L. D. (2020) · The Journal of Chemical Physics · doi:10.1063/1.5143061 · Cited by 2,696
A simple effective potential for exchange
Becke, A. D., & Johnson, E. R. (2006) · The Journal of Chemical Physics · doi:10.1063/1.2213970 · Cited by 1,599
Atomic and Molecular Electron Affinities: Photoelectron Experiments and Theoretical Computations
Rienstra-Kiracofe, J. C., Tschumper, G. S., Schaefer, H. F., Nandi, S., & Ellison, G. B. (2002) · Chemical Reviews · doi:10.1021/cr990044u · Cited by 1,258
A Critical Review of Machine Learning of Energy Materials
Chen, C., Zuo, Y., Ye, W., Li, X., Deng, Z., & Ong, S. P. (2020) · Advanced Energy Materials · doi:10.1002/aenm.201903242 · Cited by 609
Machine learning bandgaps of double perovskites
Pilania, G., Mannodi-Kanakkithodi, A., Uberuaga, B. P., Ramprasad, R., Gubernatis, J. E., & Lookman, T. (2016) · Scientific Reports · doi:10.1038/srep19375 · Cited by 518
Metadata
- Authors
- Gritsenko, O., van Leeuwen, R., van Lenthe, E., & Baerends, E. J.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1995-03-01
- Volume
- 51
- Issue
- 3
- Pages
- 1944-1954
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1992676052
- Cited by
- 281
- References
- 23
- FWCI
- 4.15
- Type
- journal article
- Language
- en
- Open access
- green
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: Self-consistent approximation to the Kohn-Sham exchange potential. https://app.cochat.ai/papers/10.1103/physreva.51.1944
- The paper
- Gritsenko, O., van Leeuwen, R., van Lenthe, E., & Baerends, E. J. (1995). Self-consistent approximation to the Kohn-Sham exchange potential. Physical Review A. https://doi.org/10.1103/physreva.51.1944
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.
