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The Spectrum of the Normal Frequencies of a Polar Linear Lattice

  • E. K. Broch (a1)

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.

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* Atomtheorie des festen Zustandes (Teubner, 1923).

Proc. Roy. Soc. 147 (1934), 594.

Proc. Roy. Soc. 149 (1935), 487.

§ Phys. Zeit. 13 (1912), 297.

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

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

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

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

Born, , Atomtheorie des festen Zustandes, p. 536.

* Epstein, loc. cit.

* Loc. cit.

* Epstein, loc. cit.

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

* 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.

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