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

Whitelam, Stephen; Tamblyn, Isaac; Garrahan, Juan P.; Beton, Peter H.


Stephen Whitelam

Isaac Tamblyn


© 2015 American Physical Society. 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.


Whitelam, S., Tamblyn, I., Garrahan, J. P., & Beton, P. H. (2015). Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry. Physical Review Letters, 114(11), Article 115702.

Journal Article Type Article
Acceptance Date Feb 26, 2015
Online Publication Date Mar 20, 2015
Publication Date Mar 20, 2015
Deposit Date Jul 8, 2016
Publicly Available Date Jul 8, 2016
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 114
Issue 11
Article Number 115702
Public URL
Publisher URL
Additional Information ©2015 American Physical Society


Rhombus many-patch-PRL_114_115702_2015.pdf (2.2 Mb)

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