Premium
Symmetry groups of single‐wall nanotubes
Author(s) -
De Las Peñas Ma. Louise Antonette N.,
Loyola Mark L.,
Basilio Antonio M.,
Santoso Eko Budi
Publication year - 2014
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273313023887
Subject(s) - carbon nanotube , nanotube , symmetry (geometry) , homogeneous space , symmetry operation , materials science , euclidean geometry , plane (geometry) , symmetry group , geometry , nanotechnology , mathematics
This work investigates the symmetry properties of single‐wall carbon nanotubes and their structural analogs, which are nanotubes consisting of different kinds of atoms. The symmetry group of a nanotube is studied by looking at symmetries and color fixing symmetries associated with a coloring of the tiling by hexagons in the Euclidean plane which, when rolled, gives rise to a geometric model of the nanotube. The approach is also applied to nanotubes with non‐hexagonal symmetry arising from other isogonal tilings of the plane.