The DOI matches its Crossref record.
Special Points in the Brillouin Zone
Abstract
We present sets of special points in the Brillouin zone from which the average over the Brillouin zone of a periodic function of wave vector (e.g., energy, charge density, dipole matrix elements, etc.) can be determined in a simple and accurate way once the values of the function at these points are specified. We discuss a method for generating the special-point sets and apply it to the case of crystals with cubic and hexagonal Bravais lattices.
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
Cited by
Special points for Brillouin-zone integrations
Monkhorst, H. J., & Pack, J. D. (1976) · Physical Review B · doi:10.1103/physrevb.13.5188 · Cited by 71,721
Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies
Hybertsen, M. S., & Louie, S. G. (1986) · Physical Review B · doi:10.1103/physrevb.34.5390 · Cited by 3,963
Highly Crystalline Multimetallic Nanoframes with Three-Dimensional Electrocatalytic Surfaces
Chen, C., Kang, Y., Huo, Z., Zhu, Z., Huang, W., Xin, H. L., Snyder, J. D., Li, D., Herron, J. A., Mavrikakis, M., et al. (2014) · Science · doi:10.1126/science.1249061 · Cited by 2,765
The General Utility Lattice Program ( GULP )
Gale, J. D., & Rohl, A. L. (2003) · Molecular Simulation · doi:10.1080/0892702031000104887 · Cited by 2,265
Electrocatalytic Oxidation of Ammonia on Transition-Metal Surfaces: A First-Principles Study
Herron, J. A., Ferrin, P., & Mavrikakis, M. (2015) · The Journal of Physical Chemistry C · doi:10.1021/jp512981f · Cited by 291
Metadata
- Authors
- Chadi, D. J., & Cohen, M. L.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1973-12-15
- Volume
- 8
- Issue
- 12
- Pages
- 5747-5753
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2075699404
- Cited by
- 2,047
- References
- 0
- FWCI
- 9.07
- 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: Special Points in the Brillouin Zone. https://app.cochat.ai/papers/10.1103/physrevb.8.5747
- The paper
- Chadi, D. J., & Cohen, M. L. (1973). Special Points in the Brillouin Zone. Physical Review B. https://doi.org/10.1103/physrevb.8.5747
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.
