Abstract
In this paper, a theoretical analysis of the radial breathing mode (RBM) of carbon nanotubes (CNTs) subjected to axial pressure is presented based on an elastic continuum model. Single-walled carbon nanotubes (SWCNTs) are described as an individual elastic shell and double-walled carbon nanotubes (DWCNTs) are considered to be two shells coupled through the van der Waals force. The effects of axial pressure, wave numbers and nanotube diameter on the RBM frequency are investigated in detail. The validity of these theoretical results is confirmed through the comparison of the experiment, calculation and simulation. Our results show that the RBM frequency is linearly dependent on the axial pressure and is affected by the wave numbers. We concluded that RBM frequency can be used to characterize the axial pressure acting on both ends of a CNT.
Highlights
Radial breathing mode (RBM) of carbon nanotubes (CNTs) is a low frequency mode, but accounts for the strongest feature observed in the CNT Raman spectrum
Numerical results and discussion For the present analysis, an individual single-walled carbon nanotube (SWCNT) was assumed to be a graphene sheet rolled into a cylinder and the double-walled carbon nanotube (DWCNT) is considered to be two layered nanotube shells coupled by van der Waals (vdW) interactions
Based on elastic continuum mechanics, we studied the RBM frequency of -supported CNTs exposed to axial pressure
Summary
Radial breathing mode (RBM) of carbon nanotubes (CNTs) is a low frequency mode, but accounts for the strongest feature observed in the CNT Raman spectrum. For the RBM, all of the carbon atoms in a CNT move in the radial direction synchronously, which generates an effect similar to “breathing” [1,2]. This mode is unique to CNTs, and is not observed in other carbon systems [3]. The RBM frequency of CNTs subjected to axial pressure is studied using an elastic continuum mechanics model. The interaction of the vdW force between the inner and outer tubes and the effect of axial pressure
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