Differential geometry and morphology of graphitic carbon materials |
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Affiliation: | Graduate School of Information Sciences, Tohoku University, Aramaki, Aoba-ku, Sendai 980-8579, Japan and JST-CREST |
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Abstract: | The topological defects (pentagons and heptagons) in a hexagonal graphitic network give rise to a non-zero curvature in the three-dimensional structure formed by the network. The curvature is quantized due to the hexagonal symmetry of graphite. We clarify how the topological defects affect the graphitic carbon morphology, invoking the knowledge of differential geometry. |
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