An R&D group develops an electroless (auto-catalytic) plating to coat a thin platinum layer onto the surfaces of non-conducting spherical particles without any electrical current. The spherical particles with an initial radius a0 of 500 nm are suspended in an aqueous salt solution of potassium tetra-chloro platinate (II) (K2PtCl4) at T=300K. The solution viscosity is =10-3Pa. s. The deposition process produces a uniform spherical shell of Pt. With the aid of a microscope, you determine the average mean-squared displacement (MSD of the particles' trajectories over a time interval t, prior to the electroless coating (S0) and after (S1) 10 min of electroless coating. t is small enough so that no significant change in the particle's radius takes place during this time interval. Express the coating thickness in terms of S0, S1, and T