平行碳纳米管悬空粘附时临界槽口宽度的计算

Determination of the Critical Trench Width with Two Parallel Suspended Carbon Nanotube Ropes Clinging to Each Other

根据小形变时的简单梁理论,给出了由碳纳米管悬空部分粘附时的几何形貌来计算平行碳纳米管之间粘附力的理论模型,推导了平行碳纳米管之间粘附力的计算公式以及碳纳米管粘附到沟槽基底时与沟槽基底的粘附力计算公式。由于碳纳米管本身的尺度小,实验上无法直接测量出平行碳纳米管之间的粘附力。本研究给出的计算公式可以由扫描电子显微镜(SEM)下观测到的碳纳米管悬空部分粘附时的几何形貌计算出平行碳纳米管之间的粘附力。根据文献中给出的平行碳纳米管之间粘附力的理论计算结果,估算了不同间距的平行碳纳米管能够粘附在一起所需要的槽口宽度,以及碳纳米管恰好粘附到沟槽基底时不同槽口宽度和深度之间的对应关系。这些结果对制备用于测量平行碳纳米管之间粘附力的悬空结构提供了重要的参考价值。

Based on simple beam theory to deal with small deformation and the theoretical model to calculate the adhesion force between two parallel suspended carbon nanotube ropes through examining the geometry with scanning electron microscopy（SEM）, the formulas were derived to calculate the adhesion force between two parallel suspended carbon nanotube ropes and the adhesion to the substrate. As the scale of carbon nanotubes is nanometer, it is not possible to measure the adhesion force between them. The formulas given can be used to calculate the adhesion force using the geometry parameters of the suspended part of carbon nanotube. Employing the theoretical results published, it is estimated that variation of the critical trench width with the nanotube ropes spacing and the relationship between the trench width and height when the carbon nanotube just glues to the substrate. All of these results are valuable to setup up the experiment to measure the adhesion force between two parallel carbon nanotubes.