CHEM 4214 Lecture Notes - Lecture 39: Poisson Distribution, Rhoa, Glass Transition
Document Summary
Bulk crystallization (avrami eqn) start with dustgrows as crystal with time. = fraction of crystallized regime for t = 0, phi_c = 0 for t = infty, phic --> 1. 2d: heterogeneous vs homogeneous hard to do homo: seeds start growing at different times hetero: all starts at same time. This gives probability that random point in our system is not reached by any nucleation front i. e. x is still in the amorphous regime. Other variations: different dimensions (2d, 1d, 3d, heterogeneous. homogeneous. (nucleation starts at different times, contact vs. diffusion of the growing front diffusivewait for other molecule to come to you: m = avrami exponent k = rate constant. At t = 0, phic = 0, rho = rho_a (density of liquid, amorphous) at t = infinity, phic = 1, rho = rhoc (usually larger than rhoa, rho of crystal)
