Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry
Whitelam, Stephen and Tamblyn, Isaac and Garrahan, Juan P. and Beton, Peter H. (2015) Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry. Physical Review Letters, 114 (11). 115702/1-115702/5. ISSN 1079-7114
Official URL: http://dx.doi.org/10.1103/PhysRevLett.114.115702
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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