Carbon-nanotube geometries: Analytical and numerical results

Edoardo Mainini, Hideki Murakawa, Paolo Piovano, Ulisse Stefanelli

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)


    We investigate carbon-nanotubes under the perspective of geometry optimization. Nanotube geometries are assumed to correspond to atomic configurations which locally minimize Terso -type interaction energies. In the specific cases of so-called zigzag and armchair topologies, candidate optimal configurations are analytically identi ed and their local minimality is numerically checked. In particular, these optimal con gurations do not correspond neither to the classical Rolled-up model [5] nor to the more recent polyhedral model [3]. Eventually, the elastic response of the structure under uniaxial testing is numerically investigated and the validity of the Cauchy-Born rule is confirmed..

    Original languageEnglish
    Pages (from-to)141-160
    Number of pages20
    JournalDiscrete and Continuous Dynamical Systems - Series S
    Issue number1
    Publication statusPublished - Feb 2017

    All Science Journal Classification (ASJC) codes

    • Analysis
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics


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