Calculation of Cutting Lines of Single-Walled Carbon Nanotubes

Abstract

Abstract. Carbon nanotubes (CNs) are hexagonally shaped arrangements of carbon atoms that have been rolled into tubes with outstanding properties. Carbon nanotubes are among the stiffest and strongest fibers known, and have remarkable electronic properties and many other unique characteristics. All properties of the carbon nanotubes are determined by its electronic structure. The main focus of this study has been to investigate the basic electronic band structure of carbon nanotubes and to understand the origin of the cutting lines. For this purposes brief introduction to the electronic properties of carbon nanotubes was given and then 3D electronic band structure was plotted. For different chirality vectors (n, m) 1D and 2D first Brillouin zones and cutting lines of SWNT were calculated and plotted. Key words: Single-walled carbon nanotube, Brillouin zone, Cutting line.