We use static and dynamic light scattering to determine how the diffusion coefficient of a fractal aggregate in the free molecular regime depends on its morphological properties. Our system is a carbonaceous flame soot aerosol containing fractal aggregates with Df=1.8. We find that the Epstein equation for the diffusion coefficient holds with an effective mobility radius given by Rₘ=0.99aN0.43, where N is the number of monomers per aggregate and a is the monomer radius. This result is quantitatively explained as due to the projectional area of the aggregate which includes monomer-monomer screening.
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Cai et al. (1994) studied this question.
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