Determining the nucleation parameters for the same solute in different solvents from induction time data

A new model was developed to determine the nucleation parameters for the same solute in various solvents by incorporating the functional form of the pre-exponential factor derived based on classical nucleation theory using the induction time data. In this model, a common intrinsic term related to the properties of the solute was introduced among the pre-exponential factors in various solvents while the dependence of the pre-exponential factor on the initial solute concentration and solution viscosity in various solvents was considered. A nonlinear regression procedure was proposed based on this new model to simultaneously determine the interfacial energies in various solvents along with the common intrinsic term, which were then adopted to determine the pre-exponential factors in various solvents. The induction time data for phenacetin in four different solvents were experimentally measured in this work and analyzed using the developed model. The obtained results were compared with those analyzed by the conventional method.