Intrinsic radial breathing oscillation in suspended single-walled carbon nanotubes

    Kaihui Liu1,3, Wenlong Wang3, Muhong Wu3, Fajun Xiao1, Xiaoping Hong1, Shaul Aloni2, Xuedong Bai3, Enge Wang4,*, and Feng Wang1,2,†

    • 1Department of Physics, University of California at Berkeley, Berkeley, California 94720, USA
    • 2The Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
    • 3Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
    • 4International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China

    • *egwang@pku.edu.cn
    • fengwang76@berkeley.edu

    Phys. Rev. B 83, 113404 – Published 22 March, 2011

    DOI: https://doi.org/10.1103/PhysRevB.83.113404

    Abstract

    Radial breathing mode (RBM) oscillation is the most characteristic vibration mode in carbon nanotubes. Here we investigate the intrinsic behavior of RBM oscillations of structurally defined single-walled carbon nanotubes (SWNTs) by combining Raman-scattering and electron-diffraction techniques on the same suspended nanotubes. The independent determination of RBM frequencies and nanotube structures allows us to establish conclusively the perfect linear relation between RBM frequencies and inverse nanotube diameters, which has been long speculated to hold in pristine SWNTs. Understanding the intrinsic diameter dependence of SWNT RBM oscillation not only is crucial for reliable Raman characterization of carbon nanotubes, but also enables quantitative probing of SWNT-environment interactions through the RBM oscillation frequency shift.

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