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26 April 2024
 
  » arxiv » 1411.3644

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Emergent rhombus tilings from molecular interactions with $M$-fold rotational symmetry
Stephen Whitelam ; Isaac Tamblyn ; Juan P. Garrahan ; Peter H. Beton ;
Date 13 Nov 2014
AbstractWe 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 4-fold 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 networks’ spontaneous self-assembly. This class of structures must in certain regimes of parameter space be able to reconfigure into networks equivalent to triangular tilings.
Source arXiv, 1411.3644
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