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Explicit solution of the radial breathing mode frequency of single-walled carbon nanotubes

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Abstract

On the basis of a molecular mechanics model, an analytical solution of the radial breathing mode (RBM) frequency of single-walled carbon nanotubes (SWCNTs) is obtained. The effects of tube chirality and tube diameter on the RBM frequency are investigated and good agreement between the present results and existing data is found. The present analytical formula indicates that the chirality and size dependent elastic properties are responsible for the effects of the chirality and small size on the RBM frequency of an SWCNT.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072, China

    Tienchong Chang

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  1. Tienchong Chang
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Correspondence to Tienchong Chang.

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The project supported by the National Natural Science Foundation of China (10402019), Shanghai Rising-Star Program (05QMX1421), Shanghai Leading Academic Discipline Project (Y0103), and Key Project of Shanghai Committee of Science and Technology (04JC14034).

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Chang, T. Explicit solution of the radial breathing mode frequency of single-walled carbon nanotubes. Acta Mech Sin 23, 159–162 (2007). https://doi.org/10.1007/s10409-007-0059-4

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  • DOI: https://doi.org/10.1007/s10409-007-0059-4

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