The solidification of peritectic alloys is reviewed, including both nu
cleation and growth. The introduction defines various compositions ass
ociated with binary peritectic alloys, their 'equilibrium' solidificat
ion, multicomponent peritectic systems, and metastable phases in perit
ectic systems. Nucleation studies are reviewed according to the rate o
f cooling and the type of specimen. Some comparisons are made with obs
ervations in eutectic alloys. At fast cooling rates metastable events
can occur, as reviewed for alloys based on the AI-Ti and other systems
. Growth studies in peritectic alloys have identified three stages: th
e 'reaction' (th ree phases in contact); the 'transformation' (the per
itectic phase thickens by solid state diffusion); and 'direct solidifi
cation' of the peritectic phase. Models of the stages are outlined and
compared with experiment for various binary alloys, followed by a sum
mary of observations of peritectic solidification in multicomponent Fe
-Cr-Ni and Fe-C-X alloys. Recent advances of single phase solidificati
on are reviewed and applied to phase selection with increased velocity
, in peritectic alloys such as in Fe-Cr-Ni, Co-Sm-Cu, and Fe-Nd-B allo
ys. independent growth of the two solid phases also is discussed, as i
llustrated by superconducting Y-Ba-Cu-O alloys. Attempts to produce co
upled structures in peritectic alloys are reviewed, followed by a disc
ussion of low velocity banding. Limitations in current experimental or
theoretical work are pointed out to aid future work in this important
area.