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Rotational diffusion (a) Consider a sphere of radius R in water. Due to random collisions with the water molecules the sphere will rotationally diffuse. The diffusion law in this case is analogous to the one obtained for translational motion, (Δθ^2)=2 Dr t . What are the units of the rotational diffusion coefficient Dr ? Write down the formula for D, using the Einstein relation and the rotational friction coefficient obtained in Problem 12.4, and convince yourself that the units are correct. (b)
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