In this paper a systematic study of individual single-walled and multi-walled carbon nanotubes was performed by Raman spectroscopy and high-resolution electron microscopy. We have presented the geometrical and electronic structure analysis on the examples of two tubes: individual single-walled and double-walled nanotubes. The role of different environmental effects and their influence on the final structure assignment are discussed. Moreover, we have shown that the Raman spectroscopy gives reliable estimations of the nanotube diameters and the conductivity. Given a non-destructible character of Raman spectroscopy, we may conclude that it is one of the most efficient methods for structure analysis of carbon nanotubes.

Keywords: Carbon nanotubes, Raman spectroscopy, electron microscopy

The construction of a two-dimensional tiling by a specific projection of three-dimensional cubic lattice is considered. Different a periodic tiling’s, consisting of equal rhombi, are obtained by different choice of the projection region. They are ordinary a periodic tiling, having local elements of symmetry group С6v and chiral trigonal stacking, built like chiral pentagonal Penrose’s quasilattice [1], which occurs in virus cap sides.

Keywords: Quasicrystal, quasilattice, two-dimensionalquasicrystal, chiral quasicrystal.