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               888                                                                              Macromolecules, Structure


               crosslinks. This is also true of course of homopolymers of  four carbons or more removed from a branch or chain
               such monomers:                                    end: It constitutes about 80% of the spectral intensity. The
                                                                 C 1  carbons (i.e., methyl groups) and C 2  carbons are the
                    CH  CH 2                                     most shielded, branch point carbons the least. Main-chain
                                      CH 2   CH 2   CH 2
                            RCH  CH 2    CH      CH              carbons β to the branch are more shielded while those α to
                                                                 the branch are less shielded than unperturbed methylenes.
                                          R
                                                                 The composition of this polyethylene is shown in Table IV.
                    CH  CH 2
                                                                 The predominant branch type is n-butyl. Both amyl and
                    P-DIVINYL BENZENE
                                                 CH  CH 2        butylbranchesarebelievedtobeformedbyintramolecular
                                                                 chain transfer or “backbiting”:
               Here, we discuss branching introduced by processes that
               are under less specific control and involve chain transfer
               reaction of various types.                                 CH 2     CH 2       CH      CH 3
                 Branches are of particular importance in polyethylene        (CH 2 ) n          (CH 2 ) n
               (see Fig. 2), as their presence reduces the melting point
               and extent of crystallinity (Section III.A). High-pressure  This reaction is evidently most probable when n = 3 or 4,
               polyethylene is found by infrared spectroscopy to have  has a low but finite probability when n = 1, and has zero
               unusually large numbers of methyl groups, normally ex-  probability when n = 0 or 2.
               pected only at chain ends (Section III.A). When combined  The complex appearance of the ethyl branch methyl
               with molecular weight measurements, these results indi-  resonance at ∼11.0 ppm suggests that these branches may
               cate that there are many more ends than molecules—or  occur in groups or with some similar complication. The
               in other words that the chains contain branches. Carbon-  branches described in Table IV as “hexyl or longer” are
               13  NMR  can  supply  details  of  the  types  and  distribu-  believed  to  be  truly  long,  as  illustrated  in  Fig.  2  (and
                                                          13
               tion of these branches because of the sensitivity of  C  at the right side of Fig. 31). Their frequency of occur-
               chemical shifts to such structural variables, already seen  rence is estimated from the unique peak labeled L–3–C in
               in  the  discussion  of  polypropylene  (Section  III.C)  and  Fig. 31, corresponding to the third carbon from the chain
               ethylene–propylene copolymers (Section III.E). In Fig. 31  end. Such branches are too few in number to influence
                           13
               the 50.3-MHz  C spectrum of a high-pressure polyethy-  crystallinity but are believed to have a significant effect
               lene observed in 5% solution in 1,2,4-trichlorobenzene at  on melt rheology. They are formed by transfer from the
                  ◦
               110 C is shown. The resonances are labeled according to  growing chain to a finished polyethylene molecule, result-
               the scheme inset in the figure, using a large body of in-  ing in a free-radical site on the latter, which then adds more
               formation obtained from model hydrocarbons and from  monomer.
               ethylene  copolymers  with  small  proportions  of  olefins.  Branches of several types have also been observed by
               The  principal  peak,  at  30.0  ppm,  not  shown  at  its  full  13 C NMR in poly(vinyl chloride). They are nearly an order
               height, corresponds to those methylene groups that are  of magnitude fewer in number than in polyethylene but are
























                      FIGURE  31  The  50.3-MHz   13 C  NMR  spectrum  of  high-pressure  polyethylene  observed  in  5%  (w/v)  solution  in
                      1,2,4-trichlorobenzene at 110 C.
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