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The thermodynamics of crystal lattices

II. Calculation of certain lattice sums occurring in thermodynamics

Published online by Cambridge University Press:  24 October 2008

Max Born  and
Mary Bradburn
Max Born
Affiliation:
The UniversityEdinburgh
Mary Bradburn
Affiliation:
The UniversityEdinburgh
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Extract

In previous papers by Misra(1) and by Born and Misra(2) lattice sums of the type required in discussing the stability of a cubic crystal of the Bravais type in which the forces are central have been calculated. In the investigation of the thermodynamic properties of crystals a more general type of lattice sum occurs, which involves the phases of the waves. In the present paper a method of calculating these sums is developed and tables are computed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 39 , Issue 2 , June 1943 , pp. 104 - 113
Copyright
Copyright © Cambridge Philosophical Society 1943

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References

REFERENCES

(1)Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 173.CrossRefGoogle Scholar
(2)Born, M. and Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 466.CrossRefGoogle Scholar
(3)Whittaker, E. T. and Watson, G. N.Modern analysis, p. 474 (Cambridge, 1927).Google Scholar
(4)Ewald, P. P.Ann. Phys., Leipzig, 64 (1921), 253.CrossRefGoogle Scholar