Recent theoretical developments of crystal nucleation are critically review
ed with the emphasis placed on modelling the properties of small clusters.
Predictions for the size and temperature dependence of the interfacial free
energy by phenomenological and density-functional theories are discussed i
n the light of experiments and computer simulations. Various models suggest
an absolute instability of the undercooled liquid far below the melting po
int and of the superheated crystal far above the melting point. The experim
ents and computer simulations are consistent with this picture.