Scattering on Polydisperse Aggregate Populations

From Eq. (4.57), several characteristic features of the scattering curve Iscaig) can be derived. For instance, the intercept with the ordinate is  

Equations (4.57) and (4.59) are of particular benefit for fractal aggregates for which simple expressions can be used to describe the structure factor S gg(q) or the radius of gyration (cf. Sect. 4.2.2). In that case, the effective radius is defined as  

Furthermore, it has already been shown that the shape of the static stmcture factor Suggiq) depends on the fractal dimension d at moderate values (x Iv)-This also holds true for polydisperse systems  

Eventually, the surface scattering regime q . pjv) solely depends on the number and size of the primary particles. The scattering intensity decays with the 4th power of q and the effective decay coefficient is proportional to the average surface of the 

the transition from the fractal regime to surface scattering scales with  

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