Abstract
A study of the coupled axial and angular oscillations of double-walled carbon nanotubes (DWNTs) was performed using molecular dynamics simulations. In order to determine the oscillation frequencies inner and outer shells have been assumed to behave as rigid bodies, a 6–12 Lennard–Jones potential was used to model the van der Waals forces between them, and friction was neglected. Armchair (5, 5)/(10, 10) configurations, with tube lengths in the range of 25–1000 Å were investigated. The axial oscillation frequency was found to be a decreasing function of the DWNT length L (∼78 GHz for L=25 Å and ∼2 GHz for L=1000 Å). The angular oscillation frequency was found to be nearly constant at ∼58 GHz, independent of the DWNT length. In addition, sustained high-frequency angular motion can be maintained for sufficiently long DWNT (on the order of a few nanometers). For shorter DWNTs, the angular motion can be altered by interference with the axial motion, and becomes irregular.
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