Analytical Study of Unit Cell and Molecular Structures of Single Walled Carbon Nanotubes
نویسندگان
چکیده
Recently it has been experimentally confirmed that the chirality of a nanotube controls the speed of its growth, and the armchair nanotube should grow the fastest. Therefore, chirality is an important parameter in designing a carbon nanotube (CNT) and needs to be investigated for the role it plays in the structure of a CNT. In this paper, we have analytically analyzed the unit cell and molecular structures of various single walled carbon nanotubes (SWCNTs) at different values of chirality combinations. The results suggest that total number of unit cells, carbon atoms and hexagons in each structure of SWCNTs are being changed by changing its chirality. A simple and step by step approach has been followed in describing the analytical expressions of overall unit cell structure, molecular structure, chiral angle and diameter of SWCNTs. The analytical formulations have been verified by simulating different SWCNTs at various chirality values. The simulated results match very well with the mathematical results thus validating, both the simulations as well as analytical expressions.
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