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Needle crystals have been observed to be faceted at low velocities of growth. This can be explained by the theory of diffusion-limited growth with the addition of a supplementary condition fixing the shape of the facet depending on the average temperature on it. This leads to a relation between the size of the facet and the growth velocity in a fair agreement with the observations. If the growth of facet is by screw dislocation, the scalings are not changed by kinetic effects.
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Amar et al. (1988) studied this question.
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