Probability of Nucleation in a Metastable Zone: Induction Supersaturation and Implications

Abstract

The metastable zone in solution crystallization is typically defined as a region of the phase diagram in which no appreciable nucleation occurs. Existing theoretical explanations attribute the appearance of this zone to the low probability of nucleation brought forth by the path-dependency of the nucleation rate. In this work, for the first time we present experimental data for several compounds that contradict this description. We show that the widely adopted theoretical approach which considers a time-dependent nucleation rate does not capture the observed stochastic nature of nucleation in these experiments. Instead, the experimental results are successfully explained through a probability analysis based solely on the energy barrier to nucleation. In this context, for a system that is slowly supersaturated, we develop the idea of an “induction supersaturation” as a lower boundary of metastability that does not depend on the path of the experiment. This work critically examines the limitations of the ex...