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Lattice dynamics of diamond
Open accessAbstract
A two-neighbour Born-von Kármán model is applied to the diamond crystal. The nearest neighbours are assumed to interact with general forces and central, angular and torsional forces are considered in the second-neighbour interactions. One of the five force constants that occur in this model is taken as a free parameter and is fitted to the experimental frequencies at the zone boundaries in the (100) and (111) directions. A good qualitative fit, substantially better than the corresponding fit in the case of germanium and silicon, is obtained. The phonon spectrum is calculated using the Fourier series expansion method. The specific heat of diamond is evaluated in the temperature range 0-300 °k and is found to agree quite well with the experimental results. Finally, the analysis of the dependence of the frequency and amplitude of the localized mode due to an isotopic impurity on its mass is made.
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Cited by
ShengBTE: A solver of the Boltzmann transport equation for phonons
Li, W., Carrete, J., A. Katcho, N., & Mingo, N. (2014) · Computer Physics Communications · doi:10.1016/j.cpc.2014.02.015 · Cited by 3,147
Thermal conductance of interfaces between highly dissimilar materials
Lyeo, H.-K., & Cahill, D. G. (2006) · Physical Review B · doi:10.1103/physrevb.73.144301 · Cited by 576
Tubino, R., Piseri, L., & Zerbi, G. (1972) · The Journal of Chemical Physics · doi:10.1063/1.1677264 · Cited by 332
Metadata
- Authors
- Aggarwal, K. G.
- Venue
- Proceedings of the Physical Society
- Publisher
- IOP Publishing
- Published
- 1967-06
- Volume
- 91
- Issue
- 2
- Pages
- 381-389
- ISSN
- 0370-1328 (ISSN-L)
- OpenAlex
- W2015436658
- Cited by
- 191
- References
- 0
- FWCI
- 2.11
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Lattice dynamics of diamond. https://app.cochat.ai/papers/10.1088/0370-1328/91/2/316
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- Aggarwal, K. G. (1967). Lattice dynamics of diamond. Proceedings of the Physical Society. https://doi.org/10.1088/0370-1328/91/2/316
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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.
