Grain Boundary Scars and Spherical Crystallography

Author:

Bausch A. R.1,Bowick M. J.2,Cacciuto A.3,Dinsmore A. D.4,Hsu M. F.5,Nelson D. R.5,Nikolaides M. G.15,Travesset A.6,Weitz D. A.5

Affiliation:

1. Department of Physics, E22, Technische Universität München, 85747 München, Germany.

2. Physics Department, Syracuse University, Syracuse, NY 13244–1130, USA.

3. Fundamenteel Onderzoek der Materie Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ, Amsterdam, The Netherlands.

4. Department of Physics, University of Massachusetts, Amherst, MA 01003–4525, USA.

5. Department of Physics and Division of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.

6. Physics and Astronomy Department, Iowa State University, and Ames National Laboratory, Ames, IA 50011, USA.

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.

Publisher

American Association for the Advancement of Science (AAAS)

Subject

Multidisciplinary

Reference32 articles.

1. For the case of a Coulomb potential see

2. Some static and dynamical properties of a two-dimensional Wigner crystal

3. C60: Buckminsterfullerene

4. The smallest fullerene

5. L. Euler Opera Omnia series i vol. 26 (Orell Füssli Verlag 1953); see also www.ics.uci.edu/∼eppstein/junkyard/euler.

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