NONISOTHERMAL CRYSTALLIZATION OF POLYMERS .1. THE BACKGROUND OF THE MATHEMATICAL-DESCRIPTION OF SPHERULITIC PATTERN-FORMATION

The mathematical description of the spherulitic pattern formation duri ng nonisothermal crystallization in infinite samples was elaborated on the basis of the assumption of the momentary randomness of primary nu cleation. The dependence of the conversion degree of a melt into spher ulites was also obtained. The probabilities of the formation of the sp herulitic inner points and boundaries were evaluated for the time depe ndent primary nucleation rate and spherulite growth rate. The time dis tributions of the formation of the spherulite interiors and boundaries were derived. The area (or length) of the boundaries as well as the n umber of multiple boundary points dependent on the time of their forma tion was also determined.