Coil formation in multishell carbon nanotubes: Competition between curvature elasticity and interlayer adhesion
Coil formation in multishell carbon nanotubes: Competition between curvature elasticity and interlayer adhesion
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DOI：
10.1103/physrevlett.78.4055
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发表时间：
1997-05-26
影响因子：
8.6
通讯作者：
Wang, CL
中科院分区：
文献类型：
--
作者：
ZhongCan, OY;Su, ZB;Wang, CL
为了研究碳纳米管的形状形成过程，在连续极限下，通过最小化形状能，得到了描述多壳层碳管（MCT）轴向曲线可能存在形状的弦方程.结果表明，存在一个阈值关系的最外和最内的半径，给出了一个参数制度，其中直MCT将被弯曲或扭曲。在变形的形状中，规则盘绕的MCT被证明是弦方程的解之一。特别地，发现这种线圈的节距p和半径r（0）的最佳比率等于2 π，这与Zhang等人最近对MCT中线圈形成的观察结果非常一致。
To study the shape formation process of carbon nanotubes, a string equation describing the possible existing shapes of the axis curve of multishell carbon tubes (MCTs) is obtained in the continuum limit by minimizing the shape energy. It is shown that there exists a threshold relation of the outmost and inmost radii that gives a parameter regime in which a straight MCT will be bent or twisted. Among the deformed shapes, the regular coiled MCTs are shown to be one of the solutions of the string equation. In particular, the optimal ratio of pitch p and radius r(0) for such a coil is found to be equal to 2 pi, which is in good agreement with recent observation of coil formation in MCTs by Zhang et al.