NONISOTHERMAL CRYSTALLIZATION OF POLYMERS .3. THE MATHEMATICAL-DESCRIPTION OF THE FINAL SPHERULITIC PATTERN

On the basis of the approach presented in the two preceding papers,(1, 2) the mathematical description of the final spherulitic patterns form ed during nonisothermal crystallization in infinite samples is present ed, The distributions of distances from spherulite centers to spheruli te inner points, boundaries, and multiple boundary points are evaluate d. Also the function describing the spatial correlation between the po sitions of the spherulite centers is obtained. The expressions for the total amount of interspherulitic boundaries and number of multiple bo undary points are derived. The spherulitic structures are analyzed in detail for model modes of crystallization: (1) crystallization with in stantaneous nucleation and (2) isokinetic crystallization. The paramet ers of structure resulting from nonisothermal crystallization of isota ctic polypropylene are predicted and compared with the results of comp uter simulation of the spherulitic crystallization process.