Eur. Phys. J. Appl. Phys. (2016) 74: 24605
https://doi.org/10.1051/epjap/2015150329

Regular Article

Mechanical coupled vibrations in an individual double-walled carbon nanotube^*

Laboratoire d’Etude des Matériaux Avancés et Applications (LEM2A), Université Moulay Ismail, FSM-FLSH-FPE, BP 11201, Zitoune, 50000 Meknes, Morocco

^a e-mail: a.rahmani@fs-umi.ac.ma

Received: 29 June 2015
Revised: 16 October 2015
Accepted: 19 October 2015
Published online: 3 May 2016

Abstract

In this paper we calculate the Raman spectra of different double-walled carbon nanotubes (DWCNTs) by using the spectral moments method. Using a convenient Lennard-Jones expression of the van der Waals intermolecular interaction between the inner and outer tubes, the optimized structures of DWCNT are derived. We found that the C-C bond length in DWCNT is depending on the metallic (M) or semiconducting (Sc) character of the inner and outer nanotubes. We show that the radial breathing-like modes (RBLM) of DWCNT are characterized by concerted inner and outer wall motions. Comparison with Raman spectra measurements is given.