P. Uebele et H. Hermann, COMPUTER-SIMULATION OF CRYSTALLIZATION KINETICS WITH NON-POISSON DISTRIBUTED NUCLEI, Modelling and simulation in materials science and engineering, 4(2), 1996, pp. 203-214
The influence of non-uniform distribution of nuclei on the crystalliza
tion kinetics of amorphous materials is investigated. This case cannot
be described by the well known Johnson-Mehl-Avrami (JMA) equation, wh
ich is only valid under the assumption of a spatially homogeneous nucl
eation probability. The results of computer simulations of crystalliza
tion kinetics with nuclei distributed according to a cluster and a har
d-core distribution are compared with JMA kinetics. The effects of the
different distributions on the so-called Avrami exponent n are shown.
Furthermore, we calculate the small-angle scattering curves of the si
mulated structures which can be used to distinguish experimentally bet
ween the three nucleation models under consideration.