A band-pass filter approach within molecular dynamics for the prediction of intrinsic quality factors of nanoresonators

Ajit K. Vallabhaneni, Purdue University
Xiulin Ruan, Birck Nanotechnology Center, Purdue University
Jeff F. Rhoads, Birck Nanotechnology Center, Purdue University
Jayathi Murthy, University of Texas Austin

Date of this Version



J. Appl. Phys. 112, 074301 (2012); http://dx.doi.org/10.1063/1.4754450


Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Appl. Phys. 112, 074301 (2012) and may be found at http://dx.doi.org/10.1063/1.4754450. The following article has been submitted to/accepted by Journal of Applied Physics. Copyright (2012) Ajit K. Vallabhaneni, Xiulin Ruan, Jeffrey F. Rhoads, and Jayathi Murthy. This article is distributed under a Creative Commons Attribution 3.0 Unported License.


The temperature and frequency dependence of the flexural mode quality factors (Q) of doubly clamped single wall carbon nanotube resonators are calculated using classical molecular dynamics simulations. The validity of the various methods available in the literature for calculating Q based on the temporal response of the system during ring-down is discussed and the discrepancies associated with the methods are explained. A new approach based on band-pass filtering is proposed for calculating Q, which reveals classical temperature dependence (Q similar to T-1) in contrast to the previously reported results (Q similar to T-beta, 0 < beta < 1). It is shown that the Q estimated from the temporal response is in good agreement with the Q estimated from frequency response. This work also demonstrates that the proposed method is particularly advantageous when multiple modes are simultaneously excited within the linear regime. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754450]


Nanoscience and Nanotechnology