Wang Yu-Liang, Zhao Xue-Zeng, Zhou Fa-Quan
School of Mechatronic Engineering, Harbin Institute of Technology, Harbin 150001, People's Republic of China.
Rev Sci Instrum. 2007 Mar;78(3):036107. doi: 10.1063/1.2712789.
Based on Ruan and Bhushan's study [J. Ruan and B. Bhushan, J. Tribol. 116, 378 (1994)], an improved method for quantitative nano/microfriction force measurements with the atomic force microscope (AFM) is presented. The related theoretical derivation is given in detail. The coefficient of friction can be calculated by scanning in the direction parallel to the long axis of the AFM cantilever. Then conversion factor, which can convert the lateral deflection response of the photodetector into corresponding friction force, is identified with the Meyer and Amer method [G. Meyer and N. M. Ame, Appl. Phys. Lett. 57, 2089 (1990)]. Like Ruan and Bhushan method, the advantage of this approach is that the coefficient of friction can be obtained with the plan-view geometry of AFM cantilevers and some common uncertainties, such as thickness, coating, and material properties, are not necessary. The result of the experiments performed utilizing rectangular cantilevers of different lengths shows that this improved method produces an accurate agreement for cantilevers of different lengths, thus the method can be used to measure nano/microfriction force.
基于阮和布尚的研究[J. Ruan和B. Bhushan,《摩擦学杂志》116, 378 (1994)],提出了一种利用原子力显微镜(AFM)进行定量纳米/微摩擦力测量的改进方法。详细给出了相关的理论推导。通过在平行于AFM悬臂长轴的方向上扫描,可以计算出摩擦系数。然后,采用迈耶和阿默尔方法[G. Meyer和N. M. Ame,《应用物理快报》57, 2089 (1990)]确定将光电探测器的横向偏转响应转换为相应摩擦力的转换因子。与阮和布尚的方法一样,这种方法的优点是可以通过AFM悬臂的俯视几何形状获得摩擦系数,并且不需要考虑一些常见的不确定因素,如厚度、涂层和材料特性。利用不同长度的矩形悬臂进行实验的结果表明,这种改进方法对于不同长度的悬臂都能产生准确的结果,因此该方法可用于测量纳米/微摩擦力。