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               876                                                                              Macromolecules, Structure


               by means of a resonant radio frequency field having a fre-
               quency ν 0 . In modern instruments, this resonant field is
               supplied as a pulse of radiofrequency energy and the res-
               onance signal appears as an oscillating current in the time
               domain (“free induction decay” or fid), which must be
               Fourier transformed by computer to the normal spectrum
               in the frequency domain.
                 The value of NMR to the chemist lies in the fact that at
               any particular value of ν 0  all nuclei of a given species—
               say, all protons—do not resonate at exactly the same value
               of B 0  (or vice versa). Resonance actually occurs at slightly
               different values of B 0  for each type of proton, depending
               upon its chemical binding and position in the molecule.
               The cause of this variation is the cloud of electrons about
               each nucleus. Protons attached to or near electronegative
               groups such as OR, OH, OCOR, CO 2 R, or halogens expe-
               rience a lower electron density and appear at the left in the
               NMR spectrum, while those removed from such groups, as
               in hydrocarbon chains, appear at the right. Similar struc-
                                           13
               tural relationships are observed for  C nuclei, which also
               show a marked dependence on conformation. These vari-  FIGURE 19  500-MHz proton NMR spectra of predominantly (a)
                                                                 syndiotactic and (b) isotactic samples of poly(methyl methacry-
               ations are termed chemical shifts and are commonly ex-
                                                                 late), observed in 10% chlorobenzene-d 5  solution at 100 C. The
                                                                                                         ◦
               pressed in relation to tetramethylsilane (TMS) as the zero
                                                                 methoxyl resonance is not shown, but appears as   3.4 ppm.
               of reference. For protons the total range of chemical shifts
                                                 13
               in organic compounds is ∼10 ppm. For  C it is much
                                      13
               greater—over 200 ppm. The  C nucleus constitutes only
                                            12
               1.1% of naturally occurring carbon ( C has no spin and is  (b)withfluorenyllithiumintoluene,ananionicinitiatorare
                                                                 shown. The profound effect of the nature of the initiator
               not observable by NMR) and consequently requires sub-
                                                                 is evident in the marked differences between these spec-
               stantial spectrum accumulation.
                                                                 tra. To interpret these spectra, let us consider the chain
                 For any nucleus, the separation of chemical shifts, ex-
                                                                 in terms of sequences of two monomer units or dyads.
               pressed in hertz (Hz), is proportional to B 0 . An important
                                                                 There are two possible types of dyads and they have dif-
               advantage of high-field magnets is the improved resolu-
                                                                 ferent symmetry properties. The syndiotactic or racemic
               tion of resonances and finer discrimination of structural
                                                                 (r) dyad has a twofold axis of symmetry and consequently
               features. Spectrometers employing superconducting mag-
                                                                 the two methylene protons are in equivalent environments.
               nets, operating at 200 to 500 MHz for protons, are best
                                                                 They therefore have the same chemical shift and appear
               suited for studies of polymers in solution.
                                                                 as a singlet resonance despite strong two-bond or gem-
                 Another important parameter in NMR spectra is nu-
                                                                 inal coupling between them. The isotactic or meso (m)
               clear coupling. If a nucleus has n sufficiently close equiv-
                                                                 dyad has no symmetry axis, and so the two protons are
               alently coupled neighbors, its resonance will be split into
                                                                 nonequivalent and should in general give different chem-
               n + 1  peaks,  with  intensities  given  by  the  coefficients
                                                                 ical shifts.
               of the binomial expansion. Thus, one neighboring spin
               splits the observed resonance to a doublet, two produce          H A  R      R  H A  R
               a  1:2:1  triplet,  three  a  1:3:3:1  quartet,  and  so  on.  The
               strength of the coupling is denoted by  J  and expressed       R  H A           H B
               in hertz. Proton–proton couplings through three interven-         r             m
                                                                           (PLANAR ZIGZAG CONFORMATION)
               ing bonds—termed “vicinal”—are strongly dependent on
                                                                                (a)            (b)
               the dihedral angle between the protons. This is dealt with
               in Section IV.                                    When there is no vicinal coupling to neighboring protons,
                                                                 as is the case in poly(methyl methacrylate), the syndio-
                                                                 tactic sequences should exhibit a methylene singlet while
               C.  Stereochemical Configuration
                                                                 the isotactic form should give two doublets, each with a
               In Fig. 19 the 500-MHz proton spectra of poly(methyl  spacing equal to the geminal coupling, ∼15 Hz. We see
               methacrylate) prepared (a) with a free radical initiator and  in Fig. 19 that the methylene spectrum of the anionically
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