Vibration analysis of single-stranded DNA-wrapped single-walled carbon nanotubes using finite element method

Abstract We analyzed the vibration characteristics of single-walled carbon nanotubes (SWCNTs) 1 wrapped with single-stranded DNA (ssDNA) using the finite element method. The SWCNT model was calculated from the 1st-bending mode of 0.98 GHz to the radial breathing mode of 10.2 THz under free boundary conditions. The natural frequency of the SWCNTs was consistent with the well-known Bernoulli-Euler beam theory, and with the experimental relationship between the wave number and diameter of the SWCNTs. Additionally, the vibration modes and conditions for coupling with the 1st-bending mode of the ssDNA-SWCNTs were obtained under vacuum and water conditions.