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

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

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.

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), Article 115702. https://doi.org/10.1103/PhysRevLett.114.115702

• 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
• DOI: https://doi.org/10.1103/PhysRevLett.114.115702
• Public URL: https://nottingham-repository.worktribe.com/output/747129
• Publisher URL: http://dx.doi.org/10.1103/PhysRevLett.114.115702
• Additional Information: ©2015 American Physical Society
• Contract Date: Jul 8, 2016