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The diffusion is characterized by a diffusion coefficient (expressed in m2/s) inversely proportional to the square of the particle diameter. The smaller the particle is, the higher its mean displacement and speed will be. But this diffusion method can not move the particles over distances up to a fraction of a millimeter.  

Speed and mean displacement of nanoparticles (10, 30 and 50 nm) under the influence of thermal diffusion.