Carbon nanotubes are basically sheets of graphite rolled up into
a tube as shown in this figure. Hence, the hexagonal two dimensional
lattice of graphite is mapped on a one-dimensional cylinder
of radius R with various helicities characterized by the rolling
vectors (n,m).
(n,0) zigzag nanotube
(n,n) armchair nanotube
(n,m) chiral nanotube
An atomically resolved image of a chiral nanotube as observed in
STM experiments. Measuring chirality and the diameter (i.e. height)
of the nanotube, one can uniquely characterize the nanotube under
study.