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Radial Breathing Mode Frequency of Multi-Walled Carbon Nanotube Via Multiple-Elastic Thin Shell Theory

S Jafari, R Malekfar, S Khadem
2011 Int. J. Nanosci. Nanotechnol   unpublished

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In this paper, the radial breathing mode (RBM) frequencies of multi-walled carbon nanotubes (MWCNTs) are obtained based on the multiple-elastic thin shell model. For this purpose, MWCNT is considered as a multiple concentric elastic thin cylindrical shells, which are coupled through van der Waals (vdW) forces between two adjacent tubes. Lennard-Jones potential is used to calculate the vdW forces between adjacent tubes. The RBM frequencies of MWCNTs predicted by the present shell model are in
more » ... ellent agreement with the available experimental and atomistic results with relative errors less than 2.5%. The results emphasize the utility of multiple-elastic thin shell theory for modelling the RBM vibrational behaviour of MWCNTs.
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S Jafari, R Malekfar, S Khadem. "Radial Breathing Mode Frequency of Multi-Walled Carbon Nanotube Via Multiple-Elastic Thin Shell Theory." Int. J. Nanosci. Nanotechnol (2011)