A diffuse interface theory of nucleation proposed recently for vapor c
ondensation and crystal nucleation is compared with experiments and fi
eld-theoretical models of nucleation. Without adjustable parameters th
e theory gives an improved description of condensation experiments on
non-polar and weakly polar substances. Cluster dynamics calculations a
re performed for homogeneous and heterogeneous crystal nucleation. Exp
eriments on homogeneously nucleating oxide glasses indicate that a tem
perature-independent interface thickness is a reasonable assumption fo
r even deep undercooling. This offers a unique possibility for disting
uishing homogeneous and bulk heterogeneous nucleation processes.