On the stability of crystal lattices IX. Covariant theory of lattice deformations and the stability of some hexagonal lattices
- 1 January 1942
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 38 (1), 82-99
- https://doi.org/10.1017/s0305004100022246
Abstract
The theory of lattice deformations is presented in a new form, using the tensor calculus. The case of central forces is worked out in detail, and the results are applied to some simple hexagonal lattices. It is shown that the Bravais hexagonal lattice is unstable but the close-packed hexagonal lattice stable. The elastic constants of this lattice are calculated.Keywords
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