Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-25T14:12:30.843Z Has data issue: false hasContentIssue false

The thermodynamics of crystal lattices

I. Discussion of the methods of calculation

Published online by Cambridge University Press:  24 October 2008

Max Born
Affiliation:
The UniversityEdinburgh

Extract

In 1939 I published a paper in the American Journal of Chemical Physics (Born(1)) in which I tried to develop the thermodynamics of a crystal lattice in the domain of classical (Boltzmann) statistics. Definite formulae and numerical tables for the temperature dependence of the elastic constants up to the melting point were obtained; nevertheless the work was unsatisfactory not only because the approximations used were rough and their accuracy not known, but because a fundamental difficulty with respect to lattice stability turned up. This led to a series of investigations by my collaborators and myself, published in these Proceedings under the title ‘On the stability of crystal lattices’ (quoted here as S I to SIX), by which the difficulty mentioned has been removed. It is now possible to return to the original problem, to which the present series of papers is devoted. In this introduction I wish to recapitulate the whole situation and to explain the plan of the following papers which will be published by my collaborators.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1943

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Born, M.J. Chem. Phys. 7 (1939), 591.CrossRefGoogle Scholar
(2)Stern, O.Ann. Phys., Lpz., 51 (1916), 237.CrossRefGoogle Scholar
(3)Fürth, R.Proc. Cambridge Phil. Soc. 37 (1941), 34 (quoted as V).CrossRefGoogle Scholar
(4)Kirkwood, J. G.J. Chem. Phys. 3 (1935), 300; 7 (1939), 919.CrossRefGoogle Scholar
(5)Fürth, R.Proc. Cambridge Phil. Soc. 37 (1941), 177 (quoted as VI).Google Scholar
(6)Hunter, L. and Siegel, G.Phys. Rev. 61 (1942), 84.CrossRefGoogle Scholar
(7)Born, M.Proc. Cambridge Phil. Soc. 36 (1940), 160 (quoted as I).CrossRefGoogle Scholar
(8)Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 175 (quoted as II).CrossRefGoogle Scholar
(9)Born, M. and Fürth, R.Proc. Cambridge Phil. Soc. 36 (1940), 454 (quoted as III).Google Scholar
(10)Peng, H. W. and Power, S. C.Proc. Cambridge Phil. Soc. 37 (1941), 67 (quoted as VIII).Google Scholar
(11)Born, M.Proc. Cambridge Phil. Soc. 38 (1942), 82 (quoted as IX).Google Scholar
(12)Born, M. and Misra, R. D.Proc. Cambridge Phil. Soc. 36 (1940), 466 (quoted as IV).CrossRefGoogle Scholar
(13)Power, S. C.Proc. Cambridge Phil. Soc. 38 (1942), 61 (quoted as VII).CrossRefGoogle Scholar
(14)Kellermann, E. W.Phil. Trans. A, 238 (1940), 513.Google Scholar