Changing and predicting the frequency of double wall carbon nanotubes oscillator

Double wall carbon nanotubes have been considered as potential candidate for ultra-high frequency oscillator. However, the exact frequency change versus the nanotubes’ shape has not been detailed discussed. In this article, a series of double wall carbon nanotubes oscillators are investigated using molecular dynamics simulation. We find that, by changing the tube length and radius, the oscillation frequency can be easily modified. To better understand the simulation result above, a theoretical model with maximum main force approximation is introduced. Then the tendency for the frequency change can be well interpreted. Moreover, we find the effective force increases linearly with the tube radius. After a careful derivation, a universal formula is given, which can predict the oscillation period with a good accuracy.