The concept of cutting lines in carbon nanotube science.

  title={The concept of cutting lines in carbon nanotube science.},
  author={Ge G Samsonidze and Riichiro Saito and Ado Jorio and Marcos A. Pimenta and Ant{\^o}nio Gomes Souza Filho and Alexander Gr{\"u}neis and Gene F Dresselhaus and Mildred S. Dresselhaus},
  journal={Journal of nanoscience and nanotechnology},
  volume={3 6},
A review is presented of one-dimensional cutting lines that are utilized to obtain the physical properties of carbon nanotubes from the corresponding properties of graphite by the zone-folding scheme. Quantization effects in general low-dimensional systems are briefly discussed, followed by a more detailed consideration of one-dimensional single-wall carbon nanotubes. The geometrical structure of the nanotube is described, from which quantum confined states are constructed. These allowed states… CONTINUE READING