Using free-energy calculations on small crystalline clusters, we estimate the free-energy density G;SL for the solid-liquid equimolar interface of a system of hard-sphere colloids. By studying the behavior of a crystallite at coexistence, we determine the dependence of G;SL on the radius of curvature of the interface. An extrapolation to infinite radius of curvature (flat interface), yields G;SL(R?8) = 0.616(3), in good agreement with recent numerical estimates. Subsequently, we consider the dependence of the interfacial free-energy density on the degree of supersaturation. Our simulations suggest that the G;SL associated with the equimolar surface is fairly insensitive to changes in supersaturation.

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Journal J. Chem. Phys.
Cacciuto, A, Auer, S. A, & Frenkel, D. (2003). Solid-liquid interfacial free energy of small colloidal hard-sphere crystals. J. Chem. Phys., 119, 7467–7470. doi:10.1063/1.1607307