Iranian Nanotechnology Society International Journal of Nanoscience and Nanotechnology 1735-7004 7 3 2011 09 01 Radial Breathing Mode Frequency of Multi-Walled Carbon Nanotube Via Multiple-Elastic Thin Shell Theory 137 142 3938 EN S. Basir Jafari Department of Physics, Tarbiat Modares University, P.O. Box 14115-175, Tehran, I. R. Iran. R. Malekfar Department of Physics, Tarbiat Modares University, P.O. Box 14115-175, Tehran, I. R. Iran. S. E. Khadem Department of Mechanical and Aerospace Engineering, Tarbiat Modares University, P.O. Box 14115-177, Tehran, I. R. Iran. Journal Article 2011 05 10 <em>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 excellent 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.   </em> https://www.ijnnonline.net/article_3938_74c407e263578d03d02c1123aa730b52.pdf