Grain Boundary Scars and Spherical Crystallography

Abstract

We describe experimental investigations of the structure of two-dimensional spherical crystals. The crystals, formed by beads self-assembled on water droplets in oil, serve as model systems for exploring very general theories about the minimum energy configurations of particles with arbitrary repulsive interactions on curved surfaces. Above a critical system size we find that crystals develop distinctive high-angle grain boundaries, or scars, not found in planar crystals. The number of excess defects in a scar is shown to grow linearly with the dimensionless system size. The observed slope is expected to be universal, independent of the microscopic potential.

4 pages, 3 eps figs (high quality images available from Mark Bowick)

References in corpus (4)

• Interacting Topological Defects on Frozen Topographies
• Crystalline Order on a Sphere and the Generalized Thomson Problem
• Vortices in a Thin Film Superconductor with a Spherical Geometry
• Symmetric patterns of dislocations in Thomson's problem

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