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18.2 Solvent-Free Polymer Electrolytes  639

                There is experimental evidence to suggest that anion and cation diffusion
               can have different mechanisms [70]. The temperature variation of the diffusion
                                 7
               coefficients of  31 Pand Li in aPEO–LiPF 6 shows quite different trends. The  31 P
               diffusion coefficients follow a VTF-type dependence at all concentrations and
               are always significantly faster than those of Li -based species. Anions do not
                                                     +
               form strong bonds with the polymer hosts, so their transport is likely to depend
               principally on the rate of polymer rearrangements. Such a mechanism may be
               described in terms of configurational entropy or free-volume theories, both of which
                                                  7
               predict a VTF-like temperature dependence. Li diffusion shows a change in the
               ion-diffusion mechanism from a process controlled by VTF kinetics to a thermally
               activated mechanism as salt concentration is increased. Ionic conductivity for the
               cation appears to be an average of two distinct processes, with an ion-hopping
               mechanism predominating at high salt concentrations.

               18.2.7
               An Analysis of Ionic Species

               For a salt MX dissolved in a polymer host solvent, the formation of neutral ion pairs,
                  0
               [MX] , leads to a drop in the concentration of charge carriers. Larger aggregates
               may also exist in some media, and although they may be charged, for example,
               [M 2 X] or [MX 2 ] , their mobilities will be impaired by size in comparison with free
                           −
                   +
               ions, which again adversely affects conductivity. The nature of the anionic species
               is of course of paramount importance for the type of speciation. Both spectral and
               molar conductivity studies reveal marked change in the type and concentration
               of species involved in charge transport as salt concentration changes [71, 72].
               Figure 18.5 compares these data.
                At salt concentrations below those shown in Figure 18.5, molar conductivity
               behavior has been identified with the formation of electrically neutral ion pairs
               [8]. Between concentrations of 0.01 and ∼0.1 mol L −1  (up toanO : M ratioof ∼50
               : l) the molar conductivity rises and this can be explained by the formation of
               mobile charged clusters such as triple ions, a progressive dissociation of ion pairs,
                                               ∼
               or a combination of both. Up to O : M = 50 : 1, however, spectral data indicate
               very little change in the species concentrations, and this may instead indicate
               an enhancement in ionic mobility. With a charge separation <5 ˚ A and polymer
               motion restricted by ion coordination, an anion-assisted (Grotthus-like) transport
               mechanism could be envisaged as Equations 18.5 and 18.4.
                               −
                    XM + X + X ←→ X + MX + X    −                         (18.4)
                          −
                                      −
                                    −
                              OM + X ←→ O + MX                            (18.5)
               18.2.8
               Cation-Transport Properties
               The mobility of lithium ions in cells based on cation intercalation reactions is
               clearly a crucial factor in terms of fast and/or deep discharge, energy density, and
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