journal article·2024-04-02

Determining the defect type in a graphene lattice

Margaret Archibald, Sonja Currie, Marlena Nowaczyk

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Abstract

We consider four common defects that appear in an infinite single-layer graphene lattice, i.e. single vacancy V1(5−9), Stone-Wales SW (55−77), and double vacancies V2(5−8−5) and V2(555−777). Investigating the honeycomb pattern of the graphene, we make use of the concept of shortest closed paths (periodic orbits) in the underlying topological structure. Using properties of the shortest closed paths of odd length we present and prove mathematically an algorithm that classifies which one of these defects occurs.
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Research context

OpenAlex topics: Graphene research and applications · Interconnection Networks and Systems · Carbon Nanotubes in Composites

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Affiliations

The John Knopfmacher Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

Faculty of Applied Mathematics, AGH University of Krakow, Krakow, Poland

School of Information Technology, Halmstad University, Halmstad, Sweden

Funding

National Research Foundation

References (20)

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