A simple density functional approach on a diffusional time-scale was used to address freezing into body-centered cubic, hexagonal close-packed and face-centered cubic structures. Faceted equilibrium shapes and diffusion-controlled layer-wise crystal growth were observed which were consistent with two-dimensional nucleation. The predicted growth anisotropies were considered with regard to the results of experiments and of atomistic simulations. It was also demonstrated that, by varying the lattice constant of a simple cubic substrate, one could tune the epitaxially growing body-centered tetragonal structure between body-centered and face-centered cubic; and observe a Mullins-Sekerka–Asaro-Tiller-Grinfeld-type of instability

Diffusion-Controlled Anisotropic Growth of Stable and Metastable Crystal Polymorphs in the Phase-Field Crystal Model. G.Tegze, L.Gránásy, G.I.Tóth, F.Podmaniczky, A.Jaatinen, T.Ala-Nissila, T.Pusztai: Physical Review Letters, 2009, 103[3], 035702