Skip to main content

Research Repository

Advanced Search

Vibrational Analysis of Carbon Nanotube Based Nanomechanical Resonators

Besley, Nicholas A.


Nicholas A. Besley


A vibrational analysis of three types of carbonnanotube based nanomechanical resonator is presented. Harmonic vibrational frequencies and the associated normal modes are evaluated through diagonalisation of the full mass-weighted hessian matrix where a very large mass is assigned to the suitable carbon atoms to represent the constraints arising as a consequence of the different resonator configurations. The vibrational frequencies are determined for carbon nanotubes of different dimensions, and the response of the resonators to an applied mass is studied. For the flexural modes which are relevant for mass-sensing resonator devices, the calculations show the resonant frequency to increase as the tube diameter increases. For the longest nanotubes studied, the frequencies for cantilever and bridged resonators are very similar, and double-walled nanotubes have resonant frequencies that lie between the frequencies of the component single-walled nanotubes. The vibrational modes for a shuttle resonator have also been determined, and the lowest frequency mode was found to correspond to the relative rotation of the nanotubes with frequencies in the range 70 -- 120 GHz. The calculations predict a sensitivity of up to 1030 Hz/g although the response of the flexural modes of suspended nanotubes is dependent on the location of the adsorbed mass, while the response based upon the relative rotational motion in double-walled nanotubes is independent of the position of the adsorbed mass.


Besley, N. A. (2020). Vibrational Analysis of Carbon Nanotube Based Nanomechanical Resonators. Journal of Physical Chemistry C, 124(30), 16714–16721.

Journal Article Type Article
Acceptance Date Jul 7, 2020
Online Publication Date Jul 7, 2020
Publication Date Jul 30, 2020
Deposit Date Jul 16, 2020
Publicly Available Date Jul 8, 2021
Journal Journal of Physical Chemistry C
Print ISSN 1932-7447
Electronic ISSN 1932-7455
Publisher American Chemical Society
Peer Reviewed Peer Reviewed
Volume 124
Issue 30
Pages 16714–16721
Keywords General Energy; Physical and Theoretical Chemistry; Electronic, Optical and Magnetic Materials; Surfaces, Coatings and Films
Public URL
Publisher URL
Additional Information This document is the Accepted Manuscript version of a Published Work that appeared in final form in Journal of Physical Chemistry C copyright© American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see


You might also like

Downloadable Citations