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A symmetry-adapted force-constant lattice-dynamical model for single-walled carbon nanotubes

机译:单壁碳纳米管的对称自适应力常数晶格动力学模型

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摘要

We develop a lattice-dynamical model based on the screw symmetry of single-walled carbon nanotubes that allows for reducing the size of the dynamical matrix to six, for all tube chiralities. The model uses force constants derived from fitting to the phonon dispersion of 2D graphite. We present the calculation procedure in a clear and transparent way, making the model easier to follow. We calculate the phonon dispersions of a number of nanotubes of different chiralities. The splitting of two highest Raman active modes and the radial breathing mode frequency are studied by changing the tube diameter and chirality.
机译:我们基于单壁碳纳米管的螺旋对称性开发了一个晶格动力学模型,该模型允许将所有管手征性的动力学矩阵的大小减小到六个。该模型使用的力常数是通过拟合2D石墨的声子色散而得出的。我们以清晰透明的方式介绍计算过程,使模型更易于遵循。我们计算了许多不同手性纳米管的声子色散。通过改变管的直径和手性,研究了两个最高拉曼活性模式和径向呼吸模式频率的分裂。

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