Oscillations of a thin hollow cylinder: Carbon nanotubes

被引:161
作者
Mahan, GD [1 ]
机构
[1] Penn State Univ, Dept Phys, University Pk, PA 16802 USA
来源
PHYSICAL REVIEW B | 2002年 / 65卷 / 23期
关键词
D O I
10.1103/PhysRevB.65.235402
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The classical vibrational modes are calculated for a thin-walled hollow cylinder of isotropic material. An analytical solution is obtained for all of the modes. The results are applied to calculate the low-frequency vibrational modes of a single-wall carbon nanotube. Analytical formulas are obtained for the Raman frequencies, and for the velocities of acoustical modes.
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页码:1 / 7
页数:7
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