Statistical Theory of Stable and Metastable Transition for Crystallization and Fusion of Homopolymers III Statistical Dynamics of Polymeric Crystallization by Molecular Segregation A General Characteristics for Growth-Rate of Melt-grown Crystals and Their

At first a comprehensive and short review on the characteristics for size growth-rate of crystals is presented. Based on the structural model of micro-nucleus- and crystal-constituent chains and the feature of grown mechanism for crystallization by the molecular segregation of stems, a general principle and method for characteristics of the number growth-rate for micro-crystal-constituent chains and the size growth-rate for crystals by melt-crystallization was proposed. According to the principle, a set of quantitative expressions for the number growth-rate of constituent chains with different sizes and different lengths of segments and the size growth-rate of crystals by four different types of growth with folding, extending, parallel combination of folding and extending and series combination of folding and extending chains was derived by the combination method of statistical mechanics and kinetics. Then four growth-rate equations for the number of constituent chains and the size of crystals produced by four different types of growth are also obtained. These equations can be successful in relating the growth-rate-to the different types of growth and temperature of crystallization and supper-cooling.