Calculus of Variations and Geometric Measure Theory
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E. Mainini - H. Murakawa - P. Piovano - U. Stefanelli

Carbon-nanotube geometries as optimal configurations

created by mainini on 03 Aug 2016


Submitted Paper

Inserted: 3 aug 2016
Last Updated: 3 aug 2016

Year: 2016


The fine geometry of carbon nanotubes is investigated from the viewpoint of Molecular Mechanics. Actual nanotube configurations are characterized as being locally minimizing 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.


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