Question: 3. Crystal Interfaces and Microstructures (10P) a. How does the Wulff construction method determine the equilibrium shape of a crystal based on its interfacial

3. Crystal Interfaces and Microstructures (10P) a. How does the Wulff construction

3. Crystal Interfaces and Microstructures (10P) a. How does the Wulff construction method determine the equilibrium shape of a crystal based on its interfacial energy? (2p) b. How does the presence of solute atoms affect the grain boundary energy of dilute binary alloys? (2p) c. What is the relationship between the total number of grain boundaries and the growth or shrinkage of grains in a material? (2p) d. How are incoherent interfaces different from partly coherent interfaces in terms of dislocations and interface migration? (2p) e. Give an example each for diffusional-displacive transformation and diffusionless-displasive transformation. (2p)

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