In the examination of metastable undercooled liquids, a thermodynamic
analysis can often provide insight into the range of structural and co
mpositional options that are possible either as precursor reactions in
a liquid or as solidification products. The thermodynamic analysis al
so provides an important basis for the examination of nucleation energ
etics. The numerous examples of metastable phase formation during soli
dification of undercooled melts demonstrates that the actual product s
election is dominated by kinetics. In fact, the observation of underco
oling is linked to a kinetic control. Under most conditions the onset
of nucleation and the level of undercooling are controlled by heteroge
neous catalysis. Other forms of kinetic control can be identified duri
ng rapid quenching and involve constrained growth of solid phases. In
both cases, a kinetic competition exists that is essential in the unde
rstanding of phase selection which may be modified by the thermal and
processing history. With heterogeneous nucleation, the analysis requir
es a clear identification and description of the multiplicity of sites
and the hierarchy of potency. In undercooled liquids, the heterogeneo
us nucleation behavior and metastable phase diagrams provide an effect
ive basis for analysis of kinetic transitions. Throughout the analysis
of kinetic processes, well-defined experiments and physically realist
ic models are essential in revealing the controlling mechanisms. (C) 1
997 Elsevier Science S.A.