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: | , , , |
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| Format: | Article |
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American Physical Society
2015
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| Online Access: | https://eprints.nottingham.ac.uk/34754/ |
| _version_ | 1848794927590277120 |
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| author | Whitelam, Stephen Tamblyn, Isaac Garrahan, Juan P. Beton, Peter H. |
| author_facet | Whitelam, Stephen Tamblyn, Isaac Garrahan, Juan P. Beton, Peter H. |
| author_sort | Whitelam, Stephen |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:23:58Z |
| format | Article |
| id | nottingham-34754 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:58Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-347542020-05-04T17:04:21Z https://eprints.nottingham.ac.uk/34754/ Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry Whitelam, Stephen Tamblyn, Isaac Garrahan, Juan P. Beton, Peter H. 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. American Physical Society 2015-03-20 Article PeerReviewed Whitelam, Stephen, Tamblyn, Isaac, 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 http://dx.doi.org/10.1103/PhysRevLett.114.115702 doi:10.1103/PhysRevLett.114.115702 doi:10.1103/PhysRevLett.114.115702 |
| spellingShingle | Whitelam, Stephen Tamblyn, Isaac Garrahan, Juan P. Beton, Peter H. Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title | Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title_full | Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title_fullStr | Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title_full_unstemmed | Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title_short | Emergent rhombus tilings from molecular interactions with M-fold rotational symmetry |
| title_sort | emergent rhombus tilings from molecular interactions with m-fold rotational symmetry |
| url | https://eprints.nottingham.ac.uk/34754/ https://eprints.nottingham.ac.uk/34754/ https://eprints.nottingham.ac.uk/34754/ |