a) For a given undercooling AT, solid-liquid interfacial energy o, melting point TM. and latent heat L, can you express critical nucleus size for homogeneous nucleation with these terms? Plot the change of Gibbs free energy as a function of nucleus size and indicate the interfacial and volume energy terms, in the plot. Show what happens to the Gibbs free energy if the liquid is present in a container made of a different material, in the same plot. b) The following diagram is a schematic plot of temperature and nucleation rate for solidification process. Explain the evolution of the curve with the relevant mechanisms responsible. Temperature Tm