Journal of Materials Science, Vol.36, No.18, 4433-4441, 2001
On the meaning of the impingement parameter in kinetic equations for nucleation and growth reactions
If certain preconditions are met, the Johnson-Mehl-Avrami-Kolmogorov (JMAK) kinetic equation is exactly accurate for nucleation and growth reactions with linear growth and is, at least, a good approximation for nucleation and growth reactions with parabolic growth. These preconditions include randomly distributed product phases, isotropic growth and constant equilibrium state. Mechanisms causing deviations from these preconditions include: capillarity effect, vacancy annihilation, blocking due to anisotropic growth. It is shown that deviations lead to a modification of the overall transformation, which can be approximated well by a single equation: [GRAPHICS] where alpha is the fraction transformed, eta (i) is the impingement parameter, n(s) and k(T) are parameters that depend on growth geometry and growth rate. The factors which influence the impingement parameter are discussed.