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Invariance and stability conditions in lattices with rigid molecules

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Zeitschrift für Physik B Condensed Matter

Abstract

For performing lattice dynamical model calculations it is necessary to impose a number of constraints on the force constants, i.e. a number of invariance conditions and the Huang-conditions. For lattices with point masses, these have been derived by Born and Huang [1]. In this paper, the above mentioned conditions are obtained for lattices containing rigid molecules on a way somewhat different to that of W. Ludwig [11–13]. The formalism used here leads to shorter expressions for the final results which, moreover, satisfy the same symmetry relations as the corresponding results for lattices with point masses.

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Geick, R. Invariance and stability conditions in lattices with rigid molecules. Z Physik B 32, 5–13 (1978). https://doi.org/10.1007/BF01322180

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  • DOI: https://doi.org/10.1007/BF01322180

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