Steps, Microfacets, and Crystal Morphology : An ab Initio Study of β-AlF3 Surfaces

First principles simulations of steps on the β-AlF3 (100) surface between two, previously identified, low-energy terminations have been performed. The optimization of these structures leads to the formation of microfacets having the (010) orientation. The microfaceted surface is found to have a lower surface energy than either of the low-energy terminations used to construct the model stepped system. This suggests that the (100) surface is not, thermodynamically, the most stable termination of β-AlF3. We have therefore also investigated the structure and stability of the (010) and (001) surfaces and find that both of these surfaces are lower in energy than the (100) surfaces. The surface energies of these planes are used to construct an approximate Wulff plot and thus predict the equilibrium crystal morphology.