ZhaoLiang Wang et al 2007 Nanotechnology 18 475714 doi:10.1088/0957-4484/18/47/475714
ZhaoLiang Wang1, DaWei Tang1, XingHua Zheng1, WeiGang Zhang2 and YunTian Zhu3
Show affiliationsIn this paper, we propose a modified wavevector (WV) model that takes account of the N-process relaxation time and second-order three-phonon process to predict the length dependence of the thermal conductivity of single-wall carbon nanotubes (SWNTs). The model is validated by length-dependent thermal conductivities of individual SWNTs measured using the four-pad 3ω method. The fitted Grüneisen parameter is close to 2 for SWNTs. These results indicate that the effect of the second-order three-phonon process cannot be neglected at room temperature. Both the experimental and theoretical results prove that the thermal conductivity increases with length of SWNTs over the range of 0.5–7 µm.
66.70.-f Nonelectronic thermal conduction and heat-pulse propagation in solids; thermal waves
63.22.-m Phonons or vibrational states in low-dimensional structures and nanoscale materials
Issue 47 (28 November 2007)
Received 31 July 2007, in final form 14 September 2007
Published 19 October 2007
ZhaoLiang Wang et al 2007 Nanotechnology 18 475714
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