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has been cited by the following article:

• TITLE: Morphological Characterization of Graphene Flake Networks Using Minkowski Functionals

  AUTHORS: Igor Levchenko, Jinghua Fang, Kostya (Ken) Ostrikov, Ludovico Lorello, Michael Keidar

  KEYWORDS: Graphene Flakes, Minkowski Functionals, Euler-Poincaré Characteristic, Connectivity

  JOURNAL NAME: Graphene, Vol.5 No.1, January 29, 2016

  ABSTRACT: Two Minkowski functionals were tested in the capacity of morphological descriptors to quantitatively compare the arrays of vertically-aligned graphene flakes grown on smooth and nanoporous alumina and silica surfaces. Specifically, the Euler-Poincaré characteristic and fractal dimension graphs were used to characterize the degree of connectivity and order in the systems, i.e. in the graphene flake patterns of petal-like and tree-like morphologies on solid substrates, and meshlike patterns (networks) grown on nanoporous alumina treated in low-temperature inductivelycoupled plasma. It was found that the Minkowski functionals return higher connectivity and fractal dimension numbers for the graphene flakepatterns with more complex morphologies, and indeed can be used as morphological descriptors to differentiate among various configurations of vertically-aligned graphene flakes grown on surfaces.