Equilibrium Forms, Nucleation, Wulff's Theorem for Crystals on Substrates-Particles with Finite Dimensions

摘要

During last years the investigations of small phases formation became deeply connected with the processes of nucleation and their application in nanotechnologies. It was shown in [1,2,3] that the formation of cubic nuclei on cubic particles is accomplished under two possible mechanisms: growing of the crystal nuclei on three of the particle's walls, i.e. on a convex top, or on one of the particle walls. The free energy for nucleus formation under these mechanisms, compared to the homogeneous case △G_0 = n_1 ~2ψ are respectively: