P. Uebele et al., DECOMPOSITION KINETICS OF BULK AMORPHOUS ZR41TI14CU12.5NI10BE22.5 ALLOYS STUDIED BY COMPUTER-SIMULATION AND SMALL-ANGLE NEUTRON-SCATTERING, Journal of applied crystallography, 30(2), 1997, pp. 613-617
The decomposition behaviour during annealing in the undercooled liquid
regime of Zr41Ti14Cu12.5Ni10Be22.5 is studied by means of small-angle
neutron scattering (SANS). In this temperature range, a microstructur
e consisting of precipitates of an amorphous phase is formed. The scat
tering curves show a characteristic maximum which becomes more and mor
e intense with increasing annealing time until a saturation state is r
eached. All scattering curves at different annealing times obey a univ
ersal scaling law by scaling the intensity and the q axis by the inten
sity and the position of the maximum, respectively. In order to interp
ret the scattering curves, the scattering behaviour of a system of int
eracting particles and its time evolution are simulated. The centres o
f the precipitates are modelled (either analytically or numerically) b
y a hard-core point field, i.e. they have a minimum distance from each
other ('excluded volume'). At each of these points, a nucleus is crea
ted according to a given nucleation rate, either instantaneously (all
nuclei start growing at the same time) or continuously (in each time i
nterval, a constant number of nuclei starts growing). Variation of the
parameters of the hard-core point field, the nucleation mechanism and
the growth law for the precipitates and comparison of the calculated
and measured small-angle scattering curves allow the following interpr
etation: The amorphous precipitates are distributed according to a har
d-core structure and the nucleation is continuous. The growth of the p
recipitates is diffusion controlled (a proportional to t(1/2)).