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The thermodynamics of crystal lattices

IV. The elastic constants of a face-centred cubic lattice with central forces

Published online by Cambridge University Press:  24 October 2008

Margaret M. Gow
Margaret M. Gow
Affiliation:
The UniversityEdinburgh
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Summary

Using the results of the preceding paper of this series (by M. Bradburn), the equation of state and the elastic constants for a monatomic face-centred cubic lattice are calculated. Central forces with a potential of the form −ar−m+br−n are assumed to act between the particles. Numerical results are obtained for five sets of values (m, n) and represented in tables and diagrams. The general features of these are discussed and compared with previous computations.

I take this opportunity of thanking Prof. Born who suggested this problem to me, for his interest in my work and his advice on many occasions. I am also indebted to Dr R. Fürth for his numerous helpful suggestions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 40 , Issue 2 , June 1944 , pp. 151 - 166
Copyright
Copyright © Cambridge Philosophical Society 1944

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References

REFERENCES

(1)Bradburn, M.The thermodynamics of crystal lattices. III. Proc. Cambridge Phil. Soc. 39 (1943), 113.CrossRefGoogle Scholar
(2)Born, M.On the stability of crystal lattices. IX. Proc. Cambridge Phil. Soc. 38 (1942), 82.CrossRefGoogle Scholar
(3)Born, M.Thermodynamics of crystals and melting. J. Chem. Phys. 7 (1939), 591.CrossRefGoogle Scholar
(4)Born, M. and Misra, R. D.On the stability of crystal lattices. IV. Proc. Cambridge Phil. Soc. 36 (1940), 466.CrossRefGoogle Scholar