Kinetics for coarsening co-controlled by diffusion and a reversible interface reaction

The kinetics for coarsening co-controlled by diffusion and a reversible interface reaction were investigated theoretically. Equations for the particle size distributions and particle growth were deduced, through which the effects of the competition, in terms of the rate-controlling strength, between diffusion and the interface reaction on the kinetics behaviors were revealed. When the coarsening was mainly controlled by the interface reaction the particle size distribution was broad and squat but, along with the enhancement of the rate-controlling strength of diffusion, it changed continuously to be narrower in shape and finally became the form suggested in previous research. The particle growth formula was the sum of the third and second power laws. It can be approximately expressed as R¯n=Kt in a relatively short period of time, with the exponent varying between 2 and 3, depending on the coarsening stage and/or coarsening system.