  Diffusion-limited cluster aggregation (DLCA) is a well established model for
the formation of highly porous low-density non-equilibrium structures. One of
the main conclusions of the previous studies considering this model is that the
rotational diffusion of aggregating clusters does not change their structure
characterized by a universal fractal dimension of $d_f=1.7-1.8$. In
contradiction to this assumption, we demonstrate that the rotation movement of
clusters significantly changes the structure of forming aggregates. The fractal
dimension of rotating clusters is lower than the one found in the standard DLCA
model and decreases with the increasing ratio of rotational and translational
diffusion constants $D_r/D_t$, which offers a possibility to tune the
structures of the aggregates below the conventional DLCA fractal dimension
limit.
