Nanomanipulation of elliptic and cubic nanoparticles with consideration of the impact theories

摘要

This article investigates the effect of impact on the dynamic modeling and simulation of cubic and elliptic nanoparticles in the manipulation process based on atomic force microscopy (AFM). First, the dynamic equations prior to the motion are presented. Then, according to these equations, two assumptions are considered for nanoparticles motion. Using the Hertz, JRK, and Jamari theories as well as the approximate impact relation of Hunter, the effects of impact in motion are also taken into consideration. The results indicated that after 3 s and under constant, linear, second-order and sinusoidal forces, the elliptic nanoparticle moves, respectively, less than 0.08 μm, 0.1143 μm, 0.36 μm and 25 nm. In addition, the results of cubic nanoparticles nanomanipulation show that the cubic nanoparticle moves less than 0.08 μm in 3 s under constant force scheme. This type of nanoparticle does not move when acted upon by a linear force along the Z-axis, while it shows a displacement of 0.0117 μm along the Y-axis. After the same 3 s, it moves about 0.37 μm and less than 25 nm under second-order and sinusoidal forces, respectively.