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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.

Authors

Stephen Whitelam

Isaac Tamblyn



Abstract

© 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.

Journal Article Type Article
Publication Date Mar 20, 2015
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
APA6 Citation 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), https://doi.org/10.1103/PhysRevLett.114.115702
DOI https://doi.org/10.1103/PhysRevLett.114.115702
Publisher URL http://dx.doi.org/10.1103/PhysRevLett.114.115702
Copyright Statement Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0
Additional Information ©2015 American Physical Society

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://creativecommons.org/licenses/by/4.0





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