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Topology-Induced Geometry and Properties of Carbon Nanomaterials

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The Role of Topology in Materials

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 189))

Abstract

Nanoscale graphene sheets (i.e., sp2-bonded monoatomic carbon layers) often exhibit drastic changes in their geometry and properties when non-hexagonal carbon rings are embedded into the original hexagonal lattice. This chapter gives a short review on the physics of sp2 nanocarbon materials with curved geometry, together with a concise explanation of the mechanism as to how the presence of topological defects causes the anomalously curved geometry. A special emphasis will be placed on the geometry-property correlation inherent in quasi-one-dimensional fullerene polymers and single-walled carbon nanocoils, each of which shows geometric curvature or torsion induced by local change in the carbon network topology.

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Acknowledgements

The authors acknowledge stimulating and helpful discussions with Yoshitaka Umeno, Hideo Yoshioka, Shota Ono, Yusuke Noda, and Kaoru Ohno. This work was supported by JSPS KAKENHI Grant Numbers JP 25390147 and 15H03888.

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Authors and Affiliations

  1. Department of Environmental Sciences, University of Yamanashi, 4-4-37, Takeda, Kofu, Yamanashi, 400-8510, Japan

    Hiroyuki Shima

  2. Department of Energy Science and Engineering, Nagoya University, Furocho, Chikusa-ku, Nagoya, 464-8603, Japan

    Jun Onoe

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Correspondence to Jun Onoe .

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  1. Department of Physics and Astronomy, Western Kentucky University, Bowling Green, Kentucky, USA

    Sanju Gupta

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA

    Avadh Saxena

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Shima, H., Onoe, J. (2018). Topology-Induced Geometry and Properties of Carbon Nanomaterials. In: Gupta, S., Saxena, A. (eds) The Role of Topology in Materials. Springer Series in Solid-State Sciences, vol 189. Springer, Cham. https://doi.org/10.1007/978-3-319-76596-9_3

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