Statistical Theory of Stable and Meta-stable Transition for Crystallization and Fusion of Homopolymers V Statistical Dynamics of Polymeric Crystallization by Molecular Segregation—Dependence of Growth-Rate for Crystals on the Grown Mechanism and Initial S

First a short review on the dependence of growth-rate for crystals on the grown mechanism and initial structure of polymers was presented. Based on the structural model of micro-nucleus and crystal-constituent chains and the feature of statistical dynamics for polymeric crystallization by molecular segregation, a general method for characteristics of the number growth-rate for micro-crystal-constituent chains and the size growth-rate for crystals was proposed. According to the method, a set of quantitative expressions for the correlation of the number growth-rate and the size growth-rate to the four types of growth was obtained (folding, extending and combination of folding and extending). Their dependences of the crystalline temperature and the initial structure of polymers were also derived, then the exponential parameters of H for molecular weight were combined with the fraction of conformation on segments, a new correlation of the exponential parameter to the temperature of crystallization and the flexibility of polymeric chain was theoretically obtained, and the dependence of H on the different types of growth was also studied. Finally the relationship between the growth-rate for crystals and the molecular weight of polymers of solution was verified by a great number of experimental data, and an excellent agreement between the theoretical prediction and experimental data was obtained.