Wulff construction predicts the precipitate shape accounting for which of the following?

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The question asks: Wulff construction predicts the precipitate shape accounting for which of the following?

Option provided: anisotropic interfacial energy.

Analysis of the provided option:
- Wulff construction is a geometric method used in materials science to predict the equilibrium shape of a crystal or precipitate by minimizing the total interfacial (surface) energy. It does so by considering that different crystallographic facets have different interfacial energies (anisotropy).
- When interfacial energy is anisotropic, certain facets have lower energy and become facets on the equilibrium shape, while higher-energy facets may be suppressed or not appear at all. This leads to a non-spherical, faceted precipitate that reflects the anisotropy of the surface energy as encoded in the Wulff construction.
- If interfacial energy were isotropic (the same in all directions), the Wulff construction would predict a spherical precipitate. The presence of anisotropy explains the faceting and the overall geometry that minimizes the total surface energy for a given volume.

Considerations about potential alternative options (not provided here):
- If an option claimed that the shape is determined solely by bulk lattice parameters without surface energy considerations, that would ignore the central premise of Wulff construction, which ties shape to surface energy anisotropy.
- If an option suggested that kinetic factors or growth conditions alone dictate shape, that would be more related to non-equilibrium shapes or growth morphology rather than the equilibrium shape predicted by minimizing surface energy.
- If an option proposed isotropic interfacial energy, it would contradict the fundamental role of anisotropy in producing facets within the Wulff approach.

Summary in context: the key concept behind Wulff construction is the directional dependence of surface energy, and thus anisotropic interfacial energy is the factor that determines the equilibrium, faceted shape of precipitates according to this model.

2251-1_20MTEN6070001 Lecture 15 Pre-Class Reading Quiz

Wulff construction predicts the precipitate shape accounting for which of the following?

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