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Journal of Chemical Physics / Volume 136 / Issue 5 / ARTICLES / Polymers and Complex Systems

J. Chem. Phys. 136, 054904 (2012); http://dx.doi.org/10.1063/1.3679653 (11 pages)

Formation of dodecagonal quasicrystals in two-dimensional systems of patchy particles

Marjolein N. van der Linden1, Jonathan P. K. Doye1, and Ard A. Louis2

1Physical and Theoretical Chemistry Laboratory, Department of Chemistry, University of Oxford, South Parks Road, Oxford, OX1 3QZ, United Kingdom
2Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom

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(Received 26 November 2011; accepted 6 January 2012; published online 6 February 2012)

The behaviour of two-dimensional patchy particles with five and seven regularly arranged patches is investigated by computer simulation. For higher pressures and wider patch widths, hexagonal crystals have the lowest enthalpy, whereas at lower pressures and for narrower patches, lower density crystals with five nearest neighbours that are based on the (32,4,3,4) tiling of squares and triangles become lower in enthalpy. Interestingly, in regions of parameter space near to that where the hexagonal crystals become stable, quasicrystalline structures with dodecagonal symmetry form on cooling from high temperature. These quasicrystals can be considered as tilings of squares and triangles and are probably stabilized by the large configurational entropy associated with all the different possible such tilings. The potential for experimentally realizing such structures using DNA multi-arm motifs is also discussed.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. METHODS
    1. Potential
    2. Simulation
    3. Structural analysis
  3. RESULTS
    1. Five-patch particles
      1. Low-enthalpy structures
      2. Annealing
    2. Seven-patch particles
  4. CONCLUSIONS

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KEYWORDS and PACS

Keywords

DNA, enthalpy, quasicrystals

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3679653

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

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$abstract.society.value is a Member of CrossRef American Institute of Physics

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