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 Encyclopedia of Physical Science and Technology  EN008C-602  July 25, 2001  20:31







              Macromolecules, Structure                                                                   885

              methylenes, which from Eq. (62) gives a value of 3.31 for  More searching tests of the propagation mechanism can
              r 1 . Evaluation of the methylene resonance of    be obtained from consideration of tetrad intensities. By
                                                                such analysis it is found that the relative reactivity of a
                                CH 3    CH 3
                                                                growing  free  radical  ending  in  vinylidene  chloride  de-
                                C  CH 2  C                      pends on whether the penultimate unit is another vinyli-
                                                                dene chloride unit or an isobutylene unit; if the latter, the
                                CH 3    CH 3
                                                                chain is twice as likely to add vinylidene chloride.
              cannot be readily carried out because of overlaps, even  A system of much interest is the copolymerization of
              though it would most directly provide a value ofr 2 . Instead  ethylene and propylene. This reaction requires coordina-
              we note that                                      tion catalysts rather than free-radical initiators. With in-
                                                                soluble coordination catalysts such as vanadium trichlo-
                [m 1 m 2 ](+[m 2 m 1 ]) = 2F 2 (1 − P 22 )  (64)
                                                                ride, together with aluminum alkyls or chloroaluminum
              or                                                alkyls, the heterogeneous propagation process is too com-
                                                                plex for the simple treatment we have discussed. How-
                                          2F 2 r 2  f 2
                [m 1 m 2 ](+[m 2 m 1 ]) = 2F 2  −  .    (65)    ever, with soluble vanadium compounds—VOCl 3 , VCl 4 ,
                                       1 −  f 2 (1 − r 2 )
                                                                or vanadium triacetylacetonate—the reaction takes place
              From the group of resonances near 2.8 ppm, a value of  in a homogeneous phase and can be treated within our
              [m 1 m 2 ] of 0.56 is obtained, from which a value of r 2  of  framework, although we shall not enter into details. In
              0.04 is calculated. Conventional analysis of this system  Fig.  28  the  25-MHz   13 C  spectrum  of  a  50:50  (mole
              gives                                             ratio) ethylene–propylene copolymer, observed in 1,2,4-
                                                                                   ◦
                                                                trichlorobenzene at 120 C is shown. The principal chem-
                            k 11  /k 12  = r 1  = 3.3,  (66)    ical shift influence is that of the methyl-branched car-
                                                                bons, but stereochemical configuration is a substantial
                            k 22  /k 21  = r 2  = 0.05,  (67)
                                                                perturbation, as might be expected from the discussion
              in  agreement  within  experimental  error.  These  values  of polypropylene (Section III.C). The methylene car-
              show that vinylidene chloride radicals prefer to add vinyli-  bons prove to be the most useful. In a sequence of
              dene chloride and that chains terminating in isobutylene  methylene carbons between branch carbons, each carbon
              units  have  only  a  very  small  tendency  to  add  another  gives a distinctive resonance up to a run length of 7.
              isobutylene.                                      Established peak assignments (based on rules derived
































                                       13
                     FIGURE 28  The 25-MHz  C spectrum of an ethylene–propylene copolymer of 50:50 mole ratio, observed at 120 C
                                                                                                    ◦
                     in 1,2,4-trichlorobenzene.
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