The kinetics of adsorption on fractals: A numerical experiment

An approach similar to the “random rain” model was used to simulate the formation of a three-dimensional cluster from identical particles. The cluster had a fractal structure with the mean fractal number that increased as the number of constituting “atoms” grew. We simulated adsorption on this cluster and considered the relation between the structure of the cluster and the number of vacant centers on which adsorption could occur. By analogy with the coordination number of an atom, the notion of the coordination number of a fractal particle was introduced. The fractal and coordination numbers were shown to be interrelated. An equation for the kinetics of irreversible adsorption on fractals was suggested.