The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Effect of Invariance Requirements on the Elastic Strain Energy of Crystals with Application to the Diamond Structure
Abstract
After demonstrating inconsistencies in some of the better known elasticity calculations, an alternative method of imposing the necessary invariance conditions on the strain energy of a crystal is presented. The new method is equivalent to the Born-Huang procedure but, in addition to providing further insight, also offers one or two operational advantages. For example, it demonstrates that all purely first-neighbor interactions are central only. The method is applied to the calculation of the elasticity of a two-constant model of the diamond type of crystal, and this predicts the relation $2{c}_{44}({c}_{11}+{c}_{12})=({c}_{11}\ensuremath{-}{c}_{12})({c}_{11}+3{c}_{12})$, which is very well satisfied by the experimental data for diamond, silicon, and germanium.
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Cites
Introduction to Solid State Physics
Kittel, C., & Fan, H. Y. (1957) · American Journal of Physics · doi:10.1119/1.1934457 · Cited by 22,240
Dynamical Theory of Crystal Lattices
Born, M., Huang, K., & Lax, M. (1955) · American Journal of Physics · doi:10.1119/1.1934059 · Cited by 10,501
Lattice vibrational spectrum of germanium
Herman, F. (1959) · Journal of Physics and Chemistry of Solids · doi:10.1016/0022-3697(59)90376-2 · Cited by 229
Theory of the lattice vibrations of germanium
Cochran, W. (1959) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1959.0192 · Cited by 224
The theory of the vibrations and the Raman spectrum of the diamond lattice
Smith, H. M. J. (1948) · Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences · doi:10.1098/rsta.1948.0010 · Cited by 203
Zur Raumgittertheorie des Diamanten
Born, M. (1914) · Annalen der Physik · doi:10.1002/andp.19143491209 · Cited by 116
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Phillips, W. A. (1987) · Reports on Progress in Physics · doi:10.1088/0034-4885/50/12/003 · Cited by 885
Computer Generation of Structural Models of Amorphous Si and Ge
Wooten, F., Winer, K., & Weaire, D. (1985) · Physical Review Letters · doi:10.1103/physrevlett.54.1392 · Cited by 803
Bond lengths around isovalent impurities and in semiconductor solid solutions
Martins, J. L., & Zunger, A. (1984) · Physical Review B · doi:10.1103/physrevb.30.6217 · Cited by 435
Vibrational properties of amorphous Si and Ge
Alben, R., Weaire, D., Smith, J. E., & Brodsky, M. H. (1975) · Physical Review B · doi:10.1103/physrevb.11.2271 · Cited by 344
Metadata
- Authors
- Keating, P. N.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1966-05-13
- Volume
- 145
- Issue
- 2
- Pages
- 637-645
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2066901269
- Cited by
- 2,383
- References
- 6
- FWCI
- 13.61
- Type
- journal article
- Language
- en
- Open access
- closed
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