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Explicit solution for G-band mode frequency of single-walled carbon nanotubes

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Abstract

G-band mode is one of the most important Raman modes of single-walled carbon nanotubes (SWCNTs). The vibrational frequency of the mode can be used to characterize SWCNTs. However, analytical expression that can link the frequency to the geometrical parameters of a SWCNT is to date not reported. Based on a molecular mechanics model, the analytical solution is obtained for G-band mode frequency of SWCNTs. The result calculated from the present solutions is in good agreement with the existing experimental and numerical data.

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  1. Shanghai Institute of Applied Mathematics and Mechanics, Institute of Low Dimensional Carbon and Device Physics, Shanghai University, Shanghai, 200072, China

    Liulian Li & Tienchong Chang

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  1. Liulian Li
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Correspondence to Tienchong Chang.

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Project supported by the National Natural Science Foundation of China (Nos.10872120 and 10732040), Shanghai Shuguang Program (08SG39), Shanghai Rising Star Program (No.09QH1401000), Innovation Program of Shanghai Municipal Education Commission (09ZZ97), and Shanghai Leading Academic Discipline Project (S30106).

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Li, L., Chang, T. Explicit solution for G-band mode frequency of single-walled carbon nanotubes. Acta Mech. Solida Sin. 22, 571–583 (2009). https://doi.org/10.1016/S0894-9166(09)60388-8

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