Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry
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 l...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
American Physical Society
2015
|
| Online Access: | https://eprints.nottingham.ac.uk/34754/ |
| Summary: | 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. |
|---|