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Topological Invariants of Möbius-Like Graphenic Nanostructures

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Book cover Topological Modelling of Nanostructures and Extended Systems

Part of the book series: Carbon Materials: Chemistry and Physics ((CMCP,volume 7))

Abstract

Topological invariants are computed for some carbon zigzag nanoribbons in the limit of infinite carbon atoms N by applying standard and Möbius-like periodicity. Topological modeling considerations allow then to assign to the half-twisted molecules a certain grade of chemical stability based on the actions of two basic topological properties, compactness and efficiency, which represent the influence that long-range connectivity has on lattice stability. Conclusions about Möbius-nanoribbon topological dimensionality are also presented.

Dedicated to Professor Ante Graovac, coauthor of this chapter, who prematurely passed away soon after the manuscript was completed.

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Acknowledgment

MVP thanks the Romanian Ministry of Education and Research for support through the CNCS-UEFISCDI project Code TE-16/2010-2013.

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Correspondence to Mihai V. Putz or Ottorino Ori .

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© 2013 Springer Science+Business Media Dordrecht

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Putz, M.V., De Corato, M., Benedek, G., Sedlar, J., Graovac, A., Ori, O. (2013). Topological Invariants of Möbius-Like Graphenic Nanostructures. In: Ashrafi, A., Cataldo, F., Iranmanesh, A., Ori, O. (eds) Topological Modelling of Nanostructures and Extended Systems. Carbon Materials: Chemistry and Physics, vol 7. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6413-2_7

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