Page 39 - Engineering Plastics Handbook
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Chemistry of Polymerization  13

              E = activation energy for segmental diffusion
               p
              T = crystallization temperature, °C (°F)
                c
              D = constant for a given polymer
              T = melt temperature, °C (°F)
               m
        The crystallization rate at constant temperature is calculated with the
        Avrami equation [10]

                                  ln (1 −θ) = Kt  n

        where θ= degree of crystallization
              K = Avrami constant
               t = crystalline time interval
              n = Avrami exponent related to crystallization process—
                  nucleation type and spherulite growth form (see table)

                          Relationship of Avrami Exponent n to
                          Crystalization Growth Form

                          n   Nucleation type  Growth form
                          1   Predetermined   Fibrillar
                          2   Sporadic        Fibrillar
                          3   Predetermined   Discoid
                          4   Sporadic        Discoid
                          5   Predetermined   Spherulite
                          6   Sporadic        Spherulite
                          7   Predetermined   Sheathlike
                          8   Sporadic        Sheathlike

          Beyond polycondensation and chain-growth polymerizations, further
        selections must be made: whether to use bulk (mass), solution, emulsion
        or interfacial, suspension, graft and solid-state polymerizations; ring
        opening, free radical, anionic or cationic.
          For example, SAN is an emulsion or suspension polymerized from
        styrene plus acrylonitrile, and SAN is graft-polymerized to polybutadi-
        ene to form ABS. Antioxidants can be introduced during polymerization
        as well as during compounding, to protect the double bonds in polybu-
        tadiene and acrylonitrile. Block and graft in situ polycondensation poly-
        merization can be used to produce ABS composites and other engineering
        thermoplastic composites reinforced with poly-p–phenylene terephthal-
        amide (PPTA) liquid crystal fibers at the molecular level [4].
          The choices are not always optimal. Solution and interfacial poly-
        condensation polymerizations are used when bulk polymerization is
        too exothermic, as noted earlier. Polymerization combines processes
        such as polycondensation, bulk, graft, and solid-state polymerization
        or copolymerization. Three solid-state polymerization methods include
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