PHYSICS OF CARBON NANOTUBES

The fundamental relations governing the geometry of carbon nanotubes a re reviewed, and explicit examples are presented. A framework is given for the symmetry properties of carbon nanotubes fdr both symmorphic a nd non-symmorphic tubules which have screw-axis symmetry. The implicat ions of symmetry on the vibrational and electronic structure of 1D car bon nanotube systems are considered. The corresponding properties of d ouble-wall nanotubes and arrays of nanotubes are also discussed.