Abstract
ACCORDING to Born's theory 3N-6 vibrations of the crystal lattice must take place in a crystal (N is the number of atoms of the crystal). Consequently the spectrum of elastic vibrations of a crystal must be quasi-continuous. According to Born, this relates to the acoustic as well as to the optical branch of the spectrum of elastic vibrations of a crystal. The most complete analysis of the spectrum of elastic vibrations of a crystal, based on Born's theory, was carried out for rock-salt by Kellermann1.
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References
Kellermann, E. W., Phil. Trans. Roy. Soc., 238, 513 (1940); Proc. Roy. Soc., A, 178, 17 (1941).
Raman, C. V., Proc. Ind. Acad. Sci., 18, 237 (1943).
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Krishnan, R. S., Proc. Ind. Acad. Sci., 18, 198 (1943); Nature, 156, 267 (1945); 157, 623 (1946).
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GROSS, E., STEHANOV, A. Born's Theory and the Spectrum of Light Scattering of Crystals. Nature 159, 474–475 (1947). https://doi.org/10.1038/159474a0
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DOI: https://doi.org/10.1038/159474a0
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