Oscillations of a thin hollow cylinder: Carbon nanotubes
- 23 May 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 65 (23), 235402
- https://doi.org/10.1103/physrevb.65.235402
Abstract
The classical vibrational modes are calculated for a thin-walled hollow cylinder of isotropic material. An analytical solution is obtained for all of the modes. The results are applied to calculate the low-frequency vibrational modes of a single-wall carbon nanotube. Analytical formulas are obtained for the Raman frequencies, and for the velocities of acoustical modes.Keywords
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