Crystallization kinetics driven by two simultaneous modes of crystal growth

In this work, we analyse the growth of nuclei precipitating from a supersat urated liquid. Two simultaneous habits of crystal growth are considered: in terface-controlled three-dimensional growth with a growth rate u up to a th reshold radio R-c and then diffusion-controlled growth when steady growth i s achieved at the initial stages owing to the large supersaturation in betw een the nucleus and the liquid neighbourhood. The threshold radio R-c deter mines the growth habit of each grain. For isothermal processes, we discover that the temporal dependence of the crystalline fraction follows scaling l aws. Two parameters summarize the master curves; firstly, a dimensionless m agnitude named P, where P = (pi/3)IDeff4/u(5), where D-eff is the effective diffusion coefficient and I the nucleation frequency; secondly, the time t (c) needed by the first created embryo to reach the threshold radio R-c. At t(c) the growth switches from one mechanism to the other. These two quanti ties are also scaling factors for the temporal evolution of the density of grains and the mean grain size. We discuss the applicability of the model t o real systems.