International Journal of Science and Technology

International Journal of Science and Technology>> Volume 7, Number 9, September 2017

International Journal of Science and Technology

Calculating Electronic Structure of Different Carbon Nanotubes and its Affect on Band Gap

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Author Rashid Nizam, S. Mahdi A. Rizvi, Ameer Azam
On Pages 153-162
Volume No. 1
Issue No. 4
Issue Date October 01, 2011
Publishing Date October 01, 2011
Keywords tight binding approximation, zigzag carbon nanotubes,armchair carbon nanotube, density of states


Here each carbon nanotube quantumly calculated using tight binding approximation. Each carbon nanotube is described as a graphene sheet rolled into a cylindrical shape so that the structure is one dimensional with axial symmetry. This simple picture of each carbon nanotube p electron based on tight binding approximation helps to study the band-gap variation in different carbon nanotubes. Besides, the density of states and energy verse axial wave vector of sixteen carbon nanotubes has been calculated. The calculated band gaps decrease from 6 eV to 0 eV as the diameter of zigzag carbon nanotube increase from 0.1 to 0.7 nm. But in armchair carbon nanotube the band gap remain 0.011 eV irrespective of the diametric size. It is noticeable that the density of states becomes zero at 0 eV in case of zigzag carbon nanotube while in armchair carbon nanotube the density of states do not becomes zero at 0 eV.

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