The Brownian kernel is usually assumed to describe pure diffusion-limited c
luster-aggregation processes. In this work, we show that this assumption is
correct for simulated data. For experimental data, however, significant de
viations were observed although the system was aggregated at an electrolyte
concentration well above the critical coagulation concentration. This indi
cates that residual cluster-cluster interactions are not completely absent
in real experimental systems. In order to improve the description of the ex
perimental data, we developed a kernel that considers a monomer-monomer sti
cking probability explicitly and accounts for the possibility of multiple m
onomer-monomer contacts in the cluster collision area. The proposed kernel
agrees excellently with the experimental cluster-size distribution and the
corresponding scaling function.