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18.2 Solvent-Free Polymer Electrolytes  641

               Table 18.2  Techniques for measuring transport/transference
               numbers in polymer electrolytes, and the range of values
               encountered.

               Name           Polymer matrix  Concentration range  •t + /t i  References

               Tubandt–Hittorf  (PEO) x –LiCF 3 SO 3  a  242 : 1–8 : 1  0.2–0.4  [79]
                                        a
                              (PEO) x –LiClO 4  242 : 1–8 : 1  0.2–0.4  [79]
                              PEO–LiClO 4         8 : 1       0.06     [80]
               Concentration cell  Polym–LiClO 4 b  80 : 1–8 : l  0.3  [81, 82]
                                          b
                              Polym–LiCF 3 SO 3  80 : 1–8 : l  0.6     [83]
                              PEO-NaCF 3 SO 3   160 : 1–8.1   0.3–0.45  [83]
               Radiotracer    PEO–NaI             8 : 1       0.36     [74]
                              PEO–NaSCN           8 : 1       0.38     [84]
               PFG NMR        PEO–LiCF 3 SO 3    20 : 1–6 : 1  0.4–0.5  [85]
                              PEO–LiClO 4        20 : l–8 : 1  0.3     [86]
                              PEO–Li(CF 3 SO 2 )N  30 : l–6.1  0.25–0.3  [76]
               DC polarization  PEO–LiClO 4      100 : l–8 : 1 c  0.2–0.3 c  [87, 88]
                              PEO–LiCF 3 SO 3    100:1–8 : 1 c  0.45–0.6 c  [73, 89, 90]

               a (PEO) x , crosslinked network.
               b
               (Polym), various polymers.
               c Current fraction.


               aggregates is present, a neutral pseudo-transport number of ∼0.5 is predicted, [73]
               and indeed, similarities have been observed between cationic and anionic diffusion
               coefficients [74, 75]. More realistic diffusion coefficient and transport measure-
               ments should be available from PEO–LiN(CF 3 SO 2 ) 2 , as ionization is maximized
               through extensive delocalization of the negative charge [76–78]. The resulting Li +
               transport number of only 0.3 implies extensive anion mobility.
                For DC polarization studies, the ratio of steady-state to initial current is not the
               transport number but determines the ‘limiting current fraction,’ the maximum
               fraction of the initial current which may be maintained at steady-state (in the
               absence of interfractional resistances). Variations observed in this parameter with
               salt concentration and temperature must result from changes in the state of the
               electrolyte and are compatible with changes in ionic species contributing to the
               steady-state current. These may include mobile neutral species [73].
                Of all the techniques, it is those of Group 1 that are likely to give the most
               realistic data, simply because they measure transport of charged species only. They
               are not the easiest experimental techniques to perform on polymeric systems, and
               this probably explains why so few studies have been undertaken. The experimental
               difficulties associated with the Tubandt–Hittorf method are in maintaining nonad-
               herent thin-film compartments. One way is to use crosslinked films [79], while an
               alternative has been to use a redesigned Hittorf cell [80]. Although very successful
               experimentally, the latter has analytical problems. Likewise, emf measurements
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