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On the stability of crystal lattices IX. Covariant theory of lattice deformations and the stability of some hexagonal lattices

Published online by Cambridge University Press:  24 October 2008

M. Born
M. Born
Affiliation:
The University, Edinburgh
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 38 , Issue 1 , January 1942 , pp. 82 - 99
Copyright
Copyright © Cambridge Philosophical Society 1942

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References

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