The nucleation frequency, the crystal growth rate and the transformati
on diagrams of temperature versus time and temperature versus heating
rate for the primary crystallization of the Nd2Fe14B hard magnetic pha
se in Nd13Fe79B8 amorphous alloy are established. The treatment is bas
ed on nucleation and growth theories of the kinetics of non-equilibriu
m crystallization under both isothermal and non-isothermal regime. The
modeling parameters used are assessed from calorimetric and microstru
ctural experimental data. Values of the nucleation frequency as high a
s 10(17) cm-3s-1 are obtained at temperatures around 1015 K while the
growth rate remains quite low with a maximum value of the order of 10(
-4)cm s-1 between 1300 and 1400 K. The use of the time-temperature and
temperature-heating rate diagrams allows onset crystallization temper
atures to be predicted by the model when annealing at temperatures or
heating at rates different from those experimentally used in the measu
rements. The modeling of both the nucleation frequency and the crystal
growth rate makes it possible to design suitable heat treatments to p
roduce the desired microstructure.