Margaret Archibald, Sonja Currie, Marlena Nowaczyk
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AbstractWe 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.Keywords: Grapheneinverse problemsingle vacancy defectdouble vacancy defectStone-WalesMATHEMATICS SUBJECT CLASSIFICATION (2020): 47N6081Q1034A5534B45 Disclosure statementNo potential conflict of interest was reported by the authors.Additional informationFundingThis work was supported by the National Research Foundation of South Africa under grant no.s 89147 and 103530.
期刊介绍:
The international and interdisciplinary forum, Fullerenes, Nanotubes, and Carbon Nanostructures , aims at publishing peer-reviewed research of original work in all areas of CARBON research including fullerenes, nanotubes, nanodiamond, graphene, any type of carbon nanostructure and any work dealing with carbon and carbon-related topics. Publishing high quality papers from all fields of carbon science and related topics, the journal intends to provide a means of communication between researchers who are interested in fundamental and applied carbon science issues.