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94                                                     Carraher’s Polymer Chemistry


                              R
                       R 1
                           R      R               R 1     R                  R 1     R
                                    R                 R        R                  R     R
                        R 1  R  R 1                            R                           R
                     R                                                         R 1 R  R 1
                                    R 1             R 1  R  R 1
                            R                   R                          R               R 1
                                R 1
                                                       R
                       R 1                                     R 1                 R
                                                                                       R 1
                                     R            R 1      R 1                R 1
                               R
                     R     R 1    R 1                 R 1  R     R               R 1  R  R 1  R
                             R      R           R             R 1           R
                        R 1                                                                R
                                 R 1                            R                   R
                     R 1                            R 1  R                     R 1
                           R                                                            R 1
                                                            R 1             R 1
                                    R 1         R 1   R                           R
                     R   R 1  R   R 1                                                       R 1
                                                                R 1                     R 1
                                     R          R   R 1  R   R 1            R  R 1  R
                          R    R 1  R                           R                           R
                      R 1                                                        R        R
                                                     R    R 1  R             R 1      R 1
                                                R 1
                                    R 1
                        R  R 1  R                                                          R 1
                     R 1
                                                               R 1                R   R
                                                   R      R                R 1  R  1
                                                R 1    R 1
                        R           R 1
                      R 1   R 1  R                                            R            R 1
                                                   R           R 1                      R
                                                            R
                                                 R 1   R 1                 R 1    R 1
                                   R
                         R 1   R 1                                                        R
                      R                              R 1  R 1  R                R 1  R  1
                             R                                               R
                                                 R                                          R 1
                                   R 1                                              R
                          R 1   R                       R                                 R 1
                                                              R 1
                     R 1                                                         R 1  R
                                                     R 1   R
                          R   R 1  R 1          R 1                         R  1
                      R          R                   R   R 1  R 1               R   R 1   R 1
                                                 R         R                 R         R
                 FIGURE 4.1  Depiction of stepwise chain growth for monomers R and R 1  as the polymerization begins (far
                 left) and progresses toward the right.
                                                                T 3
                                       DP                           T 2
                                       System
                                                                           T 1
                                                            where  T  > T  > T 1
                                                                     2
                                                                  3
                                                     Reaction time
                 FIGURE 4.2  System molecular weight for stepwise kinetics as a function of reaction time and reaction
                 temperature, T.
                    The term stepwise kinetics, or step-growth kinetics, refers to polymerizations in which the poly-
                 mer’s molecular weight increases in a slow, stepwise manner as reaction time increases. Figure 4.1
                 contains a depiction of the stepwise polymerization process. Initially, there is only monomer R and
                 R  present (far left). After some time, all the monomer has reacted, yet no high molecular weight
                   1
                 chains are found with the greatest degree of polymerization (DP) being 2.5 (middle). As polymer-
                 ization continues, longer chains grow with a high DP of 10 (far right) for this depiction. Eventually,

                 all the chains will connect finally giving a polymer. Figure 4.2 contains a representative plot of DP
                 as a function of time for this process.






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         K10478.indb   94                                                                     9/14/2010   3:38:03 PM
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