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Radial breathing mode of carbon nanotubes subjected to axial pressure

Xiao-Wen Lei1, Qing-Qing Ni23*, Jin-Xing Shi1 and Toshiaki Natsuki3

Author Affiliations

1 Interdisciplinary Graduate School of Science & Technology, Shinshu University, Ueda, Japan

2 Key Laboratory of Advanced Textile Materials and Manufacturing Technology Ministry of Education, Zhejiang Sci-Tech University, Hangzhou 310018, P. R. China

3 Department of Functional Machinery & Mechanics, Shinshu University, Ueda, Japan

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Nanoscale Research Letters 2011, 6:492  doi:10.1186/1556-276X-6-492

Published: 11 August 2011


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.