On Modeling of the Kinetics of Aggregation in Low-Polar C60 Solutions

Based on some recent experimental evidence, kinetics of cluster growth in a fullerene C-60 low-polar solution are considered within a model based on oxides C60Ox as aggregation initializers. A system of equations for the time-evolution of the cluster-size distribution function is developed. First stage of clusters growth consists in formation of packed small C-60 clusters around separate fullerene oxides. For this stage analytical solutions of equations were obtained and compared with numerical results. During the next stages, cluster-cluster aggregation events start to play a role. First numerical results for stage II are obtained and discussed. The results are compared with experimental study of clusters growth in the saturated C-60/benzene solution by dynamic light scattering.