Abstract
In this chapter, we extend the results of the linear chain to three-dimensional crystals with n atoms in the primitive unit cell. We still use the harmonic approximation, where the forces acting on an atom when atoms are displaced from equilibrium positions are proportional to the displacements. This is only a good approximation if the displacements are very small compared with interatomic distances and as we have discussed in Sect.2.2.4, this will only be the case at sufficiently low temperatures and if the masses are not too small.
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Brüesch, P. (1982). Dynamics of Three-Dimensional Crystals. In: Phonons: Theory and Experiments I. Springer Series in Solid-State Sciences, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81781-6_3
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DOI: https://doi.org/10.1007/978-3-642-81781-6_3
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