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给出了一种求解在任意两管之间严格范德华力相互作用下多壁碳纳米管磁弹性振动频率的解析方法。研究结果表明,在轴向磁场的作用下,严格范德华力相互作用对多壁碳纳米管最高磁弹性振动频率的影响大于对最低振动频率的影响;严格范德华力作用下多壁碳纳米管的最高磁弹性振动频率要高于经典范德华力作用下多壁碳纳米管的最高磁弹性振动频率;严格范德华力对磁弹性振动频率的影响依赖于碳纳米管层间距的变化和管的层数,且随着多壁碳纳米管层数的增加而趋于一个稳定值。本文的研究结果对于碳纳米管作为基本元件在纳米电子元件中的实际应用具有一定的参考价值。
An analytical method for solving the magnetoelastic vibration of multi-walled carbon nanotubes under the strict Van der Waals forces between two arbitrary tubes is given. The results show that under the action of axial magnetic field, the influence of the strict van der Waals force interaction on the maximum magnetoelastic vibration frequency of multi-walled carbon nanotubes is greater than that of the lowest vibrational frequency. The maximum of multi-walled carbon nanotubes The frequency of magnetoelastic vibration is higher than the maximum magnetoelastic vibration frequency of multi-walled carbon nanotubes under the influence of classical van der Waals forces. The effect of strict van der Waal’s force on the frequency of magnetoelastic vibration depends on the variation of the spacing of carbon nanotubes and the number of layers of the tube With the increase in the number of multi-walled carbon nanotubes tends to a stable value. The results of this paper have certain reference value for the practical application of carbon nanotubes as the basic components in nanoelectronic devices.