Abstract
The atoms in perfect crystals vibrate about the sites of the perfect lattice so that the probability density for atoms of a given species is a periodic function. When defects are introduced into the crystal the equilibrium positions for atomic vibrations are practically always displaced. The displacements of the equilibrium positions can naturally be regarded as the static displacements of atoms. The defect distribution in the crystal is always random to a certain extent. Therefore, the superposition of the displacement fields produced by various defects gives rise to a complicated stochastic distribution of the static displacement fields in the crystal.
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Krivoglaz, M.A. (1996). Static Displacements in Crystals with Bounded Defects. In: Baryakhtar, V.G., Ivanov, M.A., Moss, S.C., Peisl, J. (eds) X-Ray and Neutron Diffraction in Nonideal Crystals. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74291-0_2
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