File:Nanotube-nm-indexing-0-0.svg

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The (n,m) pairs that define non-isomorphic carbon nanotube types

Summary[edit]

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Description
English: The topology of an infinitely long carbon nanotube is defined by two integers (n,m). Specifically, if the nanotube is rolled on the plane without slipping, each atom touches the plane at certain "even" vertices of the graphene hexagonal lattice. Successive touchdowns of the same atom are separated by a fixed vector w, which can be written as n×u + m×v where n,m are integers and u and v are the two vectors shown at the top. The pair (n.m) is called the "type" of the nanotube.
Two different pairs may give nanotubes that are identical, or mirror images of each other. The red dots are a set of vectors whose nanotubes are all distinct, including under mirroring. They are the pars (n,m) with 0 ≤ m ≤ n and n > 0.
Date
Source Own work
Author Jorge Stolfi

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current10:12, 1 May 2019Thumbnail for version as of 10:12, 1 May 2019600 × 600 (44 KB)Jorge Stolfi (talk | contribs)User created page with UploadWizard

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