where \(k_{0}\), the prefactor, and \(D_{f}\), the fractal dimension, determine the shape and morphology of the aggregate(Ref). \(D_{f}\)depends only on the aggregation process, whereas \(k_{0}\) also depends on how the size factor, \(R_{\text{agg}}\), is defined. For instance \(R_{\text{agg}}\) is commonly defined as the ratio of the gyration radius of the aggregate to the monomer radius (\(R_{g}/r_{m})\). In our model, however, instead of the gyration radius, we use the maximum distance between the monomers, \(D_{\max}\), in units of monomer radius. After rearranging the equation 1 and writing it in terms of \(D_{\max}\)one can obtain: