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The stability of hexagonal lattices with a simple law of force

Published online by Cambridge University Press:  24 October 2008

F. R. N. Nabarro  and
J. H. O. Varley
F. R. N. Nabarro
Affiliation:
Department of MetallurgyUniversity of Birmingham
J. H. O. Varley
Affiliation:
Department of MetallurgyUniversity of Birmingham
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Abstract

A hexagonal lattice bound by central forces between nearest neighbours is always close-packed. If there is in addition an energy which, like the Fermi energy of free electrons, depends only on the volume, a close-packed equilibrium structure is still possible, but there may be another hexagonal structure of lower energy. A numerical example is given in which this occurs, the lattice spacing, binding energy and elastic constants being comparable with those of Zn, and the law of force showing no obvious peculiarities.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 2 , April 1952 , pp. 316 - 328
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

REFERENCES

(1)Born, M.Proc. Camb. phil. Soc. 38 (1942), 82.CrossRefGoogle Scholar
(2)Fuchs, K.Proc. roy. Soc. A, 153 (1936), 622.Google Scholar
(3)Goens, E.Ann. Phys., Lpz., (5), 16 (1933), 793.CrossRefGoogle Scholar
(4)Jones, H.Proc. roy. Soc. A, 147 (1934), 396.Google Scholar
(5)Jones, H.Phil. Mag. (7), 41 (1950), 663.CrossRefGoogle Scholar
(6)Nabarro, F. R. N. and Varley, J. H. O.Rev. Métall. 48 (1951), 681.CrossRefGoogle Scholar
(7)Owen, E. A. and Pickup, L.Proc. roy. Soc. A, 140 (1933), 179.Google Scholar
(8)Power, S. C.Proc. Camb. phil. Soc. 38 (1942), 61.CrossRefGoogle Scholar