The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Ab initio calculation of the thermodynamic properties and atomic temperature factors ofSiO2α-quartz and stishovite
Abstract
The constant-volume specific heat, the entropy, the phonon contributions to internal energy and Helmholtz free energy, and the atomic temperature factors of \ensuremath{\alpha}-quartz and stishovite, two allotropic forms of ${\mathrm{SiO}}_{2}$, are calculated as a function of temperature from ab initio phonon band structures. Available experimental data agree with our calculated values over a wide range of temperature. \ensuremath{\alpha}-quartz has more accessible phonon states at low temperatures, while stishovite has larger contributions to the thermodynamic functions from the zero-point motion.
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
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
Structure and elastic properties of quartz at pressure
Levien, L., Prewitt, C. T., & Weidner, D. J. (1980) · American Mineralogist · Cited by 607
Gonze, X., Allan, D. C., & Teter, M. P. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.3603 · Cited by 484
Self-citationThermal Vibrations in Crystallography
O'Connor, D. A. (1975) · Physics Bulletin · doi:10.1088/0031-9112/26/11/033 · Cited by 328
Interatomic force constants from first principles: The case of α-quartz
Gonze, X., Charlier, J.-C., Allan, D. C., & Teter, M. P. (1994) · Physical Review B · doi:10.1103/physrevb.50.13035 · Cited by 285
Self-citationRefinement of the crystal structure of low-quartz
Le Page, Y., & Donnay, G. (1976) · Acta Crystallographica Section B Structural Crystallography and Crystal Chemistry · doi:10.1107/s0567740876007966 · Cited by 259
Thermodynamics and lattice vibrations of minerals: 2. Vibrational characteristics of silicates
Kieffer, S. W. (1979) · Reviews of Geophysics · doi:10.1029/rg017i001p00020 · Cited by 225
Holm, J. L., Kleppa, O. J., & Westrum, E. F. (1967) · Geochimica et Cosmochimica Acta · doi:10.1016/0016-7037(67)90003-8 · Cited by 170
Striefler, M. E., & Barsch, G. R. (1975) · Physical review. B, Solid state · doi:10.1103/physrevb.12.4553 · Cited by 159
Some aspects of the lattice dynamics of quartz
Elcombe, M. M. (1967) · Proceedings of the Physical Society · doi:10.1088/0370-1328/91/4/323 · Cited by 125
Cited by
Gonze, X., & Lee, C. (1997) · Physical Review B · doi:10.1103/physrevb.55.10355 · Cited by 3,412
Self-citation
Metadata
- Authors
- Lee, C., & Gonze, X.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1995-04-01
- Volume
- 51
- Issue
- 13
- Pages
- 8610-8613
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2078330402
- Cited by
- 344
- References
- 14
- FWCI
- 4.34
- 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: Ab initio calculation of the thermodynamic properties and atomic temperature factors ofSiO2α-quartz and stishovite. https://app.cochat.ai/papers/10.1103/physrevb.51.8610
- The paper
- Lee, C., & Gonze, X. (1995). Ab initio calculation of the thermodynamic properties and atomic temperature factors ofSiO2α-quartz and stishovite. Physical Review B. https://doi.org/10.1103/physrevb.51.8610
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.