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The Spectrum of the Normal Frequencies of a Polar Linear Lattice

Published online by Cambridge University Press:  24 October 2008

E. K. Broch
E. K. Broch
Affiliation:
University of Oslo
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Extract

1. Introduction. The importance of the frequency spectrum of the lattice in problems concerning the properties of the crystalline state has often been emphasized. In particular, all the properties of a crystal which depend on the heat motion of the constituent particles require for their explanation a knowledge of the actual form of the vibrational spectrum.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 33 , Issue 4 , October 1937 , pp. 485 - 501
Copyright
Copyright © Cambridge Philosophical Society 1937

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References

* Atomtheorie des festen Zustandes (Teubner, 1923).Google Scholar

† Proc. Roy. Soc. 147 (1934), 594.Google Scholar

‡ Proc. Roy. Soc. 149 (1935), 487.Google Scholar

§ Phys. Zeit. 13 (1912), 297.Google Scholar

∥ Proc. Roy. Soc. 143 (1935), 384 and 159 (1937), 416.Google Scholar

* Born, , Atomtheorie des festen Zustandes, p. 575.Google Scholar

* Epstein, , Math. Annal. 56 (1903), 615 and 63 (1907), 205.CrossRefGoogle Scholar

* Emde, Jahnke und, Funktionentafeln, 2nd ed. (Teubner, 1933), pp. 97 and 78.Google Scholar

† Born, , Atomtheorie des festen Zustandes, p. 536.Google Scholar

* Epstein, loc. cit.

* Loc. cit.

* Epstein, loc. cit.

* Blackman, , Proc. Camb. Phil. Soc. 33 (1937), 94.CrossRefGoogle Scholar

* As a reasonable value of the exponent s for the repulsive forces we have taken s = 10 in drawing the graphs.

* Blackman, loc. cit.

* Loc. cit.