[en] The small-angle scattering form factor of a three-dimensional idealized fragmentation model based on the concept of renormalization is calculated. The system consists of randomly oriented microscopic fractal objects whose positions are uncorrelated. It is shown that in the fractal region, the monodisperse form factor is characterized by a succession of maxima and minima superimposed on a simple power-law decay, and whose scattering exponent coincide with the fractal dimension ofthe scatterer. The results could be used to obtain additional structural information about systems obtained through fragmentation processes at microscale. (paper)