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Near omni-conductors and insulators: Alternant hydrocarbons in the SSP model of ballistic conduction

Within the source-and-sink-potential model, a complete characterisation is obtained for the conduction behaviour of alternant π -conjugated hydrocarbons (conjugated hydrocarbons without odd cycles). In this model, an omni-conductor has a molecular graph that conducts at the Fermi level irrespective... Full description

Journal Title: The Journal of Chemical Physics 28 October 2017, Vol.147(16)
Main Author: Fowler, Patrick W.
Other Authors: Sciriha, Irene , Borg, Martha , Seville, Victoria E. , Pickup, Barry T.
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: ISSN: 0021-9606 ; E-ISSN: 1089-7690 ; DOI: 10.1063/1.4995544
Link: http://dx.doi.org/10.1063/1.4995544
Zum Text:
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recordid: aip_complete10.1063/1.4995544
title: Near omni-conductors and insulators: Alternant hydrocarbons in the SSP model of ballistic conduction
format: Article
creator:
  • Fowler, Patrick W.
  • Sciriha, Irene
  • Borg, Martha
  • Seville, Victoria E.
  • Pickup, Barry T.
subjects:
  • Articles
ispartof: The Journal of Chemical Physics, 28 October 2017, Vol.147(16)
description: Within the source-and-sink-potential model, a complete characterisation is obtained for the conduction behaviour of alternant π -conjugated hydrocarbons (conjugated hydrocarbons without odd cycles). In this model, an omni-conductor has a molecular graph that conducts at the Fermi level irrespective of the choice of connection vertices. Likewise, an omni-insulator is a molecular graph that fails to conduct for any choice of connections. We give a comprehensive classification of possible combinations of omni-conducting and omni-insulating behaviour for molecular graphs, ranked by nullity (number of non-bonding orbitals). Alternant hydrocarbons are those that have bipartite molecular graphs; they cannot be full omni-conductors or full omni-insulators but may conduct or insulate within well-defined subsets of vertices (unsaturated carbon centres). This leads to the definition of “near omni-conductors” and “near omni-insulators.” Of 81 conceivable classes of conduction behaviour for alternants, only 14 are realisable. Of these, nine are realised by more than one chemical graph. For example, conduction of all Kekulean benzenoids (nanographenes) is described by just two classes. In particular, the catafused benzenoids (benzenoids in which no carbon atom belongs to three hexagons) conduct when connected to leads via one starred and one unstarred atom, and otherwise insulate , corresponding to conduction type CII in the near-omni classification scheme.
language: eng
source:
identifier: ISSN: 0021-9606 ; E-ISSN: 1089-7690 ; DOI: 10.1063/1.4995544
fulltext: fulltext
issn:
  • 0021-9606
  • 1089-7690
  • 00219606
  • 10897690
url: Link


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titleNear omni-conductors and insulators: Alternant hydrocarbons in the SSP model of ballistic conduction
creatorFowler, Patrick W. ; Sciriha, Irene ; Borg, Martha ; Seville, Victoria E. ; Pickup, Barry T.
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descriptionWithin the source-and-sink-potential model, a complete characterisation is obtained for the conduction behaviour of alternant π -conjugated hydrocarbons (conjugated hydrocarbons without odd cycles). In this model, an omni-conductor has a molecular graph that conducts at the Fermi level irrespective of the choice of connection vertices. Likewise, an omni-insulator is a molecular graph that fails to conduct for any choice of connections. We give a comprehensive classification of possible combinations of omni-conducting and omni-insulating behaviour for molecular graphs, ranked by nullity (number of non-bonding orbitals). Alternant hydrocarbons are those that have bipartite molecular graphs; they cannot be full omni-conductors or full omni-insulators but may conduct or insulate within well-defined subsets of vertices (unsaturated carbon centres). This leads to the definition of “near omni-conductors” and “near omni-insulators.” Of 81 conceivable classes of conduction behaviour for alternants, only 14 are realisable. Of these, nine are realised by more than one chemical graph. For example, conduction of all Kekulean benzenoids (nanographenes) is described by just two classes. In particular, the catafused benzenoids (benzenoids in which no carbon atom belongs to three hexagons) conduct when connected to leads via one starred and one unstarred atom, and otherwise insulate , corresponding to conduction type CII in the near-omni classification scheme.
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descriptionWithin the source-and-sink-potential model, a complete characterisation is obtained for the conduction behaviour of alternant π -conjugated hydrocarbons (conjugated hydrocarbons without odd cycles). In this model, an omni-conductor has a molecular graph that conducts at the Fermi level irrespective of the choice of connection vertices. Likewise, an omni-insulator is a molecular graph that fails to conduct for any choice of connections. We give a comprehensive classification of possible combinations of omni-conducting and omni-insulating behaviour for molecular graphs, ranked by nullity (number of non-bonding orbitals). Alternant hydrocarbons are those that have bipartite molecular graphs; they cannot be full omni-conductors or full omni-insulators but may conduct or insulate within well-defined subsets of vertices (unsaturated carbon centres). This leads to the definition of “near omni-conductors” and “near omni-insulators.” Of 81 conceivable classes of conduction behaviour for alternants, only 14 are realisable. Of these, nine are realised by more than one chemical graph. For example, conduction of all Kekulean benzenoids (nanographenes) is described by just two classes. In particular, the catafused benzenoids (benzenoids in which no carbon atom belongs to three hexagons) conduct when connected to leads via one starred and one unstarred atom, and otherwise insulate , corresponding to conduction type CII in the near-omni classification scheme.
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abstractWithin the source-and-sink-potential model, a complete characterisation is obtained for the conduction behaviour of alternant π -conjugated hydrocarbons (conjugated hydrocarbons without odd cycles). In this model, an omni-conductor has a molecular graph that conducts at the Fermi level irrespective of the choice of connection vertices. Likewise, an omni-insulator is a molecular graph that fails to conduct for any choice of connections. We give a comprehensive classification of possible combinations of omni-conducting and omni-insulating behaviour for molecular graphs, ranked by nullity (number of non-bonding orbitals). Alternant hydrocarbons are those that have bipartite molecular graphs; they cannot be full omni-conductors or full omni-insulators but may conduct or insulate within well-defined subsets of vertices (unsaturated carbon centres). This leads to the definition of “near omni-conductors” and “near omni-insulators.” Of 81 conceivable classes of conduction behaviour for alternants, only 14 are realisable. Of these, nine are realised by more than one chemical graph. For example, conduction of all Kekulean benzenoids (nanographenes) is described by just two classes. In particular, the catafused benzenoids (benzenoids in which no carbon atom belongs to three hexagons) conduct when connected to leads via one starred and one unstarred atom, and otherwise insulate , corresponding to conduction type CII in the near-omni classification scheme.
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