• Open Access

Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry

Stephen Whitelam, Isaac Tamblyn, Juan P. Garrahan, and Peter H. Beton
Phys. Rev. Lett. 114, 115702 – Published 20 March 2015
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Abstract

We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules spontaneously select irregular fourfold local coordination from a larger set of possible local binding geometries. The existence of such networks can be rationalized by simple geometrical arguments, but the same arguments do not guarantee a network’s spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent to triangular tilings.

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  • Received 15 November 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.115702

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

© 2015 American Physical Society

Authors & Affiliations

Stephen Whitelam1,*, Isaac Tamblyn2, Juan P. Garrahan3, and Peter H. Beton3

  • 1Molecular Foundry, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, USA
  • 2Department of Physics, University of Ontario Institute of Technology, Oshawa, Ontario L1H 7K4, Canada
  • 3School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *swhitelam@lbl.gov

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Vol. 114, Iss. 11 — 20 March 2015

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