The structure factor of fat deterministic Vicsek fractals: a small-angle scattering study

We study here the small-angle scattering structure factor for deterministic fat fractals in the reciprocal space. It is shown that fat fractals are exact self-similar in the range of iterations having the same values of the scaling factor, and therefore in each of these ranges all the properties of regular fractals can be inferred to fat fractals. In order to illustrate the above findings we introduce deterministic fattened versions of Vicsek deterministic fractals. We calculate the mono- and polydisperse structure factor and study its scattering properties.