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              Macromolecules, Structure                                                                   865



















                                                                FIGURE  5  Specific  volume  as  a  function  of  temperature  for
                                                                glassy and semicrystalline polymers.



                                                                Marked changes in mechanical and other properties oc-
                                                                cur at this temperature, where hard, glassy materials be-
                                                                come rubbery and extensible. This behavior results from
                                                                the abrupt onset of extensive long-range molecular motion
                                                                as the temperature is increased (or the suppression of such
                                                                motion as it is lowered). These motions are inhibited in
                                                                the glassy state, in which the viscosity is so high that the
                                                                specific volume cannot attain its true or equilibrium value
              FIGURE 4  Schematic representation of structures of (a) isotactic,  in a practical time span. Values of T m and T g for a selected
              (b) syndiotactic, and (c) atactic chains.         group of polymers are presented in Table I.
                                                                  Many important polymer properties, such as melt-
                                                                ing point, solubility, and viscosity, depend on secondary
              is shown in Fig. 2. The observation and measurement of
                                                                forces between adjacent molecules. These are variable but
              all these structures are discussed in Section III.
                                                                are one or two orders of magnitude less than the strength
                                                                of the covalent bonds holding each molecule together. The
              E.  Physical and Mechanical Properties            strongest secondary forces involve hydrogen bonds. These
                                                                account for the high melting temperature of nylon and for
              We  have  seen  that  many  macromolecular  materials—  the insolubility and intractability of cellulose. The less po-
              usually  those  of  fairly  regular  chain  structure—may  lar carbon–chlorine bonds of poly(vinyl chloride) provide
              partially  crystallize.  Ordinary  atactic  polystyrene  is
              amorphous, whereas the isotactic polymer readily crys-
                                                                                 (  CH  CH 2  (
              tallizes. Branched polyethylene (Fig. 2), made by free-
              radical polymerization of ethylene at very high pressure,           Cl
              is about 50% crystalline at room temperature, whereas lin-
              earpolyethylene,formedatlowpressurebyheterogeneous  interactions that are somewhat weaker yet sufficient to
              catalysis, may be over 90% crystalline. As the temperature  make this polymer hard and stiff even though it is essen-
              is  raised,  semicrystalline  polymers  exhibit  crystalline  tially noncrystalline.
              melting points T m ,a first-order transition, accompanied  The chain segments in nonpolar polymers such as
              by  endotherms  in  the  curves  of  heat  capacity  versus  polyethylene are held together by weak dispersion forces
              temperature.                                      common to all polymers. As the melting curves in Fig. 6
                As well as first-order transitions, exhibited by semicrys-  indicate, cumulative secondary forces are large even in
              talline  polymers,  all  polymers—whether  crystalline  or  nonpolar polymers. The melting point at first rises with in-
              amorphous—show also second-order transitions, the most  creasing molecular weight but then levels off, showing that
              important of which is the glass transition T g . This tran-  melting of high polymer fractions depends more on attrac-
              sition  may  be  observed  as  a  change  in  slope  of  a  plot  tive forces between chain segments than on interactions
              of the specific volume versus temperature and is usually  between discrete molecules. The melting range reflects the
              measured by differential scanning calorimetry (Fig. 5).  molecular weight distribution in a typical polyethylene.
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