Part II : Interfaces
Module 4 : Equilibrium shapes of crystals
 
4 Equilibrium shapes of crystals
4.1 Motivation
Very small gold and salt crystals show facetted surfaces. Why?
See the following link for some nice micrographs.
http://www.lassp.cornell.edu/sethna/CrystalShapes/Equilibrium_Crystal_Shapes.html
4.2 Wulff construction and equilibrium shapes
Wulff plot is a nice way of representing the dependence of the interfacial energy on the surface plane orientation. In this method, we identify the lattice planes by their normals. Given a normal and the surface energy associated with the surface plane with as the normal, from an origin, we plot a point in the direction at a distance which is equal to . The resultant plot is known as the Wulff plot. In the Figure 9 below, we show a schematic of such a Wulff plot.
Figure 9: The Wulff plot constructed by placing points in various directions corresponding to the surface energy for a plane with that direction as the normal.