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Simul."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>The fine geometry of carbon nanotubes is investigated from the viewpoint of molecular mechanics. Actual nanotube configurations are characterized as locally minimizers of a given configurational energy, including both two- and three-body contributions. By focusing on so-called zigzag and armchair topologies, we prove that the configurational energy is strictly minimized within specific, one-parameter families of periodic configurations. Such optimal configurations are checked to be stable with respect to a large class of small nonperiodic perturbations and do not coincide with classical rolled-up nor polyhedral geometries.<\/jats:p>","DOI":"10.1137\/16m1087862","type":"journal-article","created":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T10:59:40Z","timestamp":1508842780000},"page":"1448-1471","source":"Crossref","is-referenced-by-count":11,"title":["Carbon-Nanotube Geometries as Optimal Configurations"],"prefix":"10.1137","volume":"15","author":[{"given":"E.","family":"Mainini","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"H.","family":"Murakawa","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P.","family":"Piovano","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"U.","family":"Stefanelli","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2017,10,24]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"N. 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