Controlling disorder in two-dimensional networks
Two-dimensional networks are constructed by reference to a distribution of ring sizes and a parameter (α) which controls the preferred nearest-neighbour spatial correlations, and allows network topologies to be varied in a systematic manner. Our method efficiently utilizes the dual lattice and allow...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
IOP Publishing
2018
|
| _version_ | 1826261400604901376 |
|---|---|
| author | Wilson, M Ormrod Morley, D |
| author_facet | Wilson, M Ormrod Morley, D |
| author_sort | Wilson, M |
| collection | OXFORD |
| description | Two-dimensional networks are constructed by reference to a distribution of ring sizes and a parameter (α) which controls the preferred nearest-neighbour spatial correlations, and allows network topologies to be varied in a systematic manner. Our method efficiently utilizes the dual lattice and allows the range of physically-realisable configurations to be established and compared to networks observed for a wide range of real and model systems. Three different ring distributions are considered; a system containing five-, six- and seven-membered rings only (a proxy for amorphous graphene), the configuration proposed by Zachariasen in 1932, and a configuration observed experimentally for thin (near-2D) films of SiO2. The system energies are investigated as a function of the network topologies and the range of physically-realisable structures established and compared to known experimental results. The limits on the parameter α are discussed and compared to previous results. The evolution of the network structure as a function of topology is discussed in terms of the ring–ring pair distribution functions. |
| first_indexed | 2024-03-06T19:20:50Z |
| format | Journal article |
| id | oxford-uuid:1a093eb2-7477-4d74-8108-cb8ddf718397 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:20:50Z |
| publishDate | 2018 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:1a093eb2-7477-4d74-8108-cb8ddf7183972022-03-26T10:52:26ZControlling disorder in two-dimensional networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1a093eb2-7477-4d74-8108-cb8ddf718397Symplectic Elements at OxfordIOP Publishing2018Wilson, MOrmrod Morley, DTwo-dimensional networks are constructed by reference to a distribution of ring sizes and a parameter (α) which controls the preferred nearest-neighbour spatial correlations, and allows network topologies to be varied in a systematic manner. Our method efficiently utilizes the dual lattice and allows the range of physically-realisable configurations to be established and compared to networks observed for a wide range of real and model systems. Three different ring distributions are considered; a system containing five-, six- and seven-membered rings only (a proxy for amorphous graphene), the configuration proposed by Zachariasen in 1932, and a configuration observed experimentally for thin (near-2D) films of SiO2. The system energies are investigated as a function of the network topologies and the range of physically-realisable structures established and compared to known experimental results. The limits on the parameter α are discussed and compared to previous results. The evolution of the network structure as a function of topology is discussed in terms of the ring–ring pair distribution functions. |
| spellingShingle | Wilson, M Ormrod Morley, D Controlling disorder in two-dimensional networks |
| title | Controlling disorder in two-dimensional networks |
| title_full | Controlling disorder in two-dimensional networks |
| title_fullStr | Controlling disorder in two-dimensional networks |
| title_full_unstemmed | Controlling disorder in two-dimensional networks |
| title_short | Controlling disorder in two-dimensional networks |
| title_sort | controlling disorder in two dimensional networks |
| work_keys_str_mv | AT wilsonm controllingdisorderintwodimensionalnetworks AT ormrodmorleyd controllingdisorderintwodimensionalnetworks |