Avrami's treatment of nucleation and growth kinetics considers that ac
tive nucleation sites are randomly distributed throughout the volume a
nd that grains may impinge upon grains grown from other sites, causing
growth to cease on the common interface. This treatment resulted in t
he well-known Avrami equation. As a result of the reassessment of thes
e basic assumptions, an integral equation is proposed for the time-dep
endence evaluation of the transformed phase volume fraction in crystal
lization processes, instead of the Avrami equation. The proposed model
fits very well the whole range of experimental data for NiZr2 and Te9
2Pb8 amorphous to crystalline transformation.