It is now recognized that rapid solidification conditions can be achie
ved with slow cooling rates provided that the liquid is undercooled su
bstantially prior to nucleation. In fact, many of the novel metastable
microstructures produced by rapid solidification require the consider
ation of an undercooled liquid for analysis. In general, rapid solidif
ication techniques involve either constrained growth in which the soli
d phase formation is limited by the rate of heat extraction or delayed
nucleation of the solid followed by unconstrained growth. With delaye
d nucleation methods such as the droplet emulsion technique direct mea
surement of undercooling is available for analysis of metastable phase
formation. In fine droplet samples an effective nucleation isolation
allows for undercoolings of about 0.3 T(m) with a limit that is usuall
y set by heterogeneous nucleation. Processing variables can be used to
control the undercooling and produce a transition in solidification r
eactions. In this case the use of metastable phase diagrams is importa
nt for the analysis of product structures and pathways during solidifi
cation and solid state treatments. A key to the understanding of struc
tural evolution is the consideration of competitive nucleation and gro
wth kinetics and thermal history, which can also provide a model for c
ontrol of solidification reactions as demonstrated in selective alloys
.