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Pleats in crystals on curved surfaces

Author

Listed:
  • William T. M. Irvine

    (Center for Soft Matter Research, New York University, 4 Washington Place, New York, New York 10003, USA
    Present address: James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA.)

  • Vincenzo Vitelli

    (Instituut-Lorentz for Theoretical Physics, Leiden University, 271, Niels Bohrweg 2 Leiden, NL 2333 CA, The Netherlands)

  • Paul M. Chaikin

    (Center for Soft Matter Research, New York University, 4 Washington Place, New York, New York 10003, USA)

Abstract

Pleating crystals A hexagonal lattice can be persuaded to tile a curved surface by the introduction of alternative shapes or 'topological defects' — such as heptagons and pentagons — as in the well-known 'buckyball' with its 20 hexagons and 12 pentagons. This paper reports a previously unknown type of defect that accommodates curvature in the same way as fabric pleats. Defects of this type, uncharged grain boundaries that vanish on the surface, can be observed on the negatively curved surfaces of stretched colloidal crystals. These findings will facilitate the exploration of general theories of defects in curved spaces, the engineering of curved structures and novel methods for soft lithography and directed self-assembly.

Suggested Citation

  • William T. M. Irvine & Vincenzo Vitelli & Paul M. Chaikin, 2010. "Pleats in crystals on curved surfaces," Nature, Nature, vol. 468(7326), pages 947-951, December.
    • Handle: RePEc:nat:nature:v:468:y:2010:i:7326:d:10.1038_nature09620
    DOI: 10.1038/nature09620
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    Cited by:

    1. Piet J. M. Swinkels & Zhe Gong & Stefano Sacanna & Eva G. Noya & Peter Schall, 2023. "Visualizing defect dynamics by assembling the colloidal graphene lattice," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    2. Amore, Paolo & Jacobo, Martin, 2019. "Thomson problem in one dimension: Minimal energy configurations of N charges on a curve," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 256-266.
    3. Ilya Svetlizky & Seongsoo Kim & David A. Weitz & Frans Spaepen, 2023. "Dislocation interactions during plastic relaxation of epitaxial colloidal crystals," Nature Communications, Nature, vol. 14(1), pages 1-10, December.

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