  The formation of colloidal gels is strongly dependent on the volume fraction
of the system and the strength of the interactions between the colloids. Here
we explore very dilute solutions by the means of numerical simulations, and
show that, in the absence of hydrodynamic interactions and for sufficiently
strong interactions, percolating colloidal gels can be realised at very low
values of the volume fraction. Characterising the structure of the network of
the arrested material we find that, when reducing the volume fraction, the gels
are dominated by low-energy local structures, analogous to the isolated
clusters of the interaction potential. Changing the strength of the interaction
allows us to tune the compactness of the gel as characterised by the fractal
dimension, with low interaction strength favouring more chain-like structures.
