Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-01-08
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 2 figures
Scientific paper
10.1103/PhysRevB.62.13692
The strain energies in straight and bent single-walled carbon nanotubes (SWNTs) are calculated by taking account of the total energy of all the occupied band electrons. The obtained results are in good agreement with previous theoretical studies and experimental observations. The Young's modulus and the effective wall thickness of SWNT are obtained from the bending strain energies of SWNTs with various cross-sectional radii. The repulsion potential between ions contributes the main part of the Young's modulus of SWNT. The wall thickness of SWNT comes completely from the overlap of electronic orbits, and is approximately of the extension of $\pi$ orbit of carbon atom. Both the Young's modulus and the wall thickness are independent of the radius and the helicity of SWNT, and insensitive to the fitting parameters. The results show that continuum elasticity theory can serve well to describe the mechanical properties of SWNTs.
Jianjun Zhou
Xin Zhou
Zhong-Can Ou-Yang
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