Random nanoparticle deposition: inter-particle distances in 2D, 3D,and multilayer samples

We consider diluted assemblies of particles randomly distributed on a surface (2D samples), in a volume (3D samples) or in 2D layers separated with a spacer of thickness t (multilayer samples). Among various considerations on the inter-particle separations, a special interest is given to the nearest-neighbor distance distribution. We also discuss the influence of the particle size, by looking at the edge-to-edge distance, and analyze the particle distribution beyond the nearest-neighbor. Moreover, we investigate the particular case of multilayer samples, which to our knowledge has never been discussed. Finally, we experimentally illustrate the applicability of the random deposition model.