NONLINEAR OSCILLATION MODEL FOR EXPLAINING THE DISTRIBUTION OF POSITION DEVIATION IN SELF-ORGANIZED NANOPARTICLES.

A model for explaining deviations of positions in self-organized nanoparticles on a substrate from their corresponding positions in perfect organization is proposed. The model predictions were compared with SEM/TEM images and reported by some authors. We found a consistence between the model predictions with the data of , and nanoparticles organization on various substrates. Theoretical explanation of self-organized nanoparticles was developed using both nonlinear oscillation model of hexagonal lattice and Hamaker equation to obtain respectively the vibration energy and its spring constant. We inspected the model for comparison to the several observations to some SEM or TEM images available from some authors such as Ag, Fe3O4 and SiO2 nanoparticles. Interestingly there is an agreement between the present model and the observation results. The model showed briefly the dependence of the deviation to the Hamaker constant, average diameter of the nanoparticles and the average distance among them. Furthermore, using this model, the deviation of the self-organized nanoparticles can be minimized. [ABSTRACT FROM AUTHOR]