Dynamic modeling of a cylindrical nanoparticle manipulation by AFM

Abstract

Because of the extensive use of AFM in the displacement of nanoparticles, this paper has focused on the modeling and dynamical analysis of cylindrical nanoparticles during 3D-nanomanipulation by AFM probe. Since it is not possible to observe the manipulation process, it is crucial to know the dynamic model of manipulation process. Therefore, the development of dynamic modeling of a nanocylinder with different shapes (e.g. nanotubes, nanorods and nanowires) is necessary for having an accurate manipulation. In this research, a comprehensive model of pushing-based 3D-manipulation of a cylindrical nanoparticle by an AFM probe which includes all the effective phenomena in nanoscale is presented. In the proposed model, the Time-varying interaction force between the sphere and cylinder is extracted based on the Derjaguin model and its formula is presented. One of the main features of this model is that the friction force has been considered as a distributed force acting on a variable length. The presented kinematic relation makes it possible to determine the distance of the pushing point at any moment. The proposed model, in addition to providing the first and second critical time and force, provides useful information about the movement manner of nanoparticles and probes from the beginning of the movement to the destination and allows control of the manipulation process. Simulations have been carried out for MWCNTs with two different diameters and lengths in sliding and spinning modes. Using simulation results, the model is validated through comparison with an experimental result in a previous research.