Emergent rhombus tilings from molecular interactions with $M$-fold rotational symmetry

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 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.

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Cited by in corpus (5)

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• Design of patchy rhombi: from close-packed tilings to open lattices
• Irregular model DNA particles self-assemble into a regular structure