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.

引用

页码：1 / 7

页数：7