Nanoscale Equilibrium Crystal Shapes

Details Nanoscale Equilibrium Crystal Shapes Nanoscale Equilibrium Crystal Shapes

2004-12-31

arxiv.org/abs/cond-mat/0501003v1

Physics

Condensed Matter

Materials Science

35 pages

Scientific paper

10.1016/j.susc.2005.03.032

The finite size and interface effects on equilibrium crystal shape (ECS) have been investigated for the case of a surface free energy density including step stiffness and inverse-square step-step interactions. Explicitly including the curvature of a crystallite leads to an extra boundary condition in the solution of the crystal shape, yielding a family of crystal shapes, governed by a shape parameter c. The total crystallite free energy, including interface energy, is minimized for c=0, yielding in all cases the traditional PT shape (z x3/2). Solutions of the crystal shape for c≠0 are presented and discussed in the context of meta-stable states due to the energy barrier for nucleation. Explicit scaled relationships for the ECS and meta-stable states in terms of the measurable step parameters and the interfacial energy are presented.

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