International Polymer Processing · 1988 · 160 citations · 0 references
Natural SciencesMaterials ScienceChemical KineticsPolymer MaterialsThermodynamicsCrystal GrowthCrystallization ProcessesKinetics Of Phase TransformationsNucleationPolymer CrystallizationPolymer PhysicsAvrami EquationCrystallizationCrystallization KineticsCrystallization MechanismsNon-isothermal CrystallizationNonisothermal CrystallizationPolymer Crystallization KineticsReaction Rate Equations
Abstract The kinetics of non-isothermal crystallization, taking into account both formation and growth of nuclei, is formulated in terms of rate equations. Depending on whether Avrami's or Tobin's models of impingement are applied, sets of, respectively, (m + 1) and (m + 2) first-order differential equations are obtained, where m is the number of spatial dimensions of growth. The number of rate equations reduces to one if the activation of nuclei is much faster than their growth. Avrami's well-known formula is re-obtained from isothermal limiting cases.