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...

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Main Authors: Wilson, M, Ormrod Morley, D
格式: Journal article
出版: IOP Publishing 2018
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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.
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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