A simple model for predicting crystallization and melting temperatures, and its implications for phase transitions in confined volumes

We present a simple unifying model for crystallization and melting temperatures by showing that homogeneous nucleation and phase transformations driven by thickening of pre-existing surface layers are limiting conditions of the more general heterogeneous nucleation case. Furthermore, to a first approximation all these processes can be described by an extended classical nucleation theory. The model can also be applied to phase transition temperatures in confined volumes, provided reliable values for the interfacial tensions within the systems are determinable. The expected melting and crystallization temperature for any transformation pathway can then be predicted.