Conditions for Rotational Invariance of a Harmonic Lattice
- 11 November 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 151 (2) , 578-580
- https://doi.org/10.1103/physrev.151.578
Abstract
The conditions for rotational invariance of a Born—von Karman lattice model are re-examined. It is found that the Born—Huang conditions for rotational invariance are necessary but not sufficient. Some additional conditions are obtained which, together with the Born—Huang conditions, constitute a set of necessary and sufficient conditions.Keywords
This publication has 9 references indexed in Scilit:
- Effect of Invariance Requirements on the Elastic Strain Energy of Crystals with Application to the Diamond StructurePhysical Review B, 1966
- Frequency Spectra of Body-Centered Cubic LatticesPhysical Review B, 1964
- Surface waves and rotational invariance in lattice theorySolid State Communications, 1964
- Theories of elasticity with couple-stressArchive for Rational Mechanics and Analysis, 1964
- Effects of couple-stresses in linear elasticityArchive for Rational Mechanics and Analysis, 1962
- Elastic materials with couple-stressesArchive for Rational Mechanics and Analysis, 1962
- Surface Elastic Waves in Cubic CrystalsPhysical Review B, 1960
- Effect of Defects on Lattice VibrationsPhysical Review B, 1955
- Vibrations of a Simple Cubic Lattice. IThe Journal of Chemical Physics, 1953