Abstract
The time evolution of the total perimeter of clusters growing on a surface has been described on the basis of the JMAK (Johnson-Mehl-Avrami-Kolmogoroff) statistical theory. A general formula, which can be easily extended to any space dimension, is obtained. When particular nucleation functions and the cluster growth law are considered the kinetics of the perimeter can be explicitly calculated and moreover, it can be expressed as a function of the covered surface. Experimental data on the efficiency of a Cu/CuO x model catalyst, towards imide formation, have been satisfactorily described by the model. Moreover, the growth of Ag on a GaAs(110) surface studied via photoelectron spectroscopy has been qualitatively explained by the proposed model. In the model case of cylindrical clusters the knowledge of the evolution of the total perimeter allows the entire area of the film to be evaluated.
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