Page 265 - High Temperature Solid Oxide Fuel Cells Fundamentals, Design and Applications
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242  High Temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications

                                Gas Phase       Gas Phase




                                    0

                     oxygen                         ..............   Oxygen Ion
                     Vacancy
                                    Oxygen   Vacancy
                                    Ton
                       (a)                              fb)
         Figure 9.3  Schematic of apossible charge transfer reaction for (a) purely electronically conducting cathode
                               material, and (b)  MlEC cathode materinl.


         concerned, most of the reported work has been on LSM.  Thus, when a porous
          layer of LSM is applied over YSZ, the charge transfer reaction is confined to (or
         near) the TPB length at the LSM/YSZ interface.
            No definitive relationships between R:t  or i:  and TPB are available for lack of
          definitive measurements of TPB in cases wherein a layer of porous LSM is applied
          over a dense YSZ surface. Nevertheless, an order of magnitude estimate can be
          made as follows. A typical, experimentally measured, number for R&, for LSM/
          YSZ at 800°C is on the order of -2  Qcm2. For a LSM particle size of -1  micron,
          and the volume fraction ofporosity in LSM of -SO%,  the TPB is on the order of 2 x
          lo4 cm-l.  It is convenient to define a charge transfer resistivity, &, in terms of
          the charge transfer resistance and TPB length by an equation of the form [2 71






          Then, approximate value of  p:t  is -40,000  Qcm. An estimate of  p:t  has been
          made  by  analysing  LSM+YSZ  composite  electrodes  by  using  techniques  in
          quantitative microscopy, and comparing with the results of cell resistance [24].
          The estimated  p:t  is on the order of  50,000 to  100,000 Qcm. Unfortunately,
          there  are  only  a  few  measurements  of  this  nature,  and  thus  not  much
          information is known on the fundamental parameter, pEt, free of microstructural
          effects  (e.g.  ITPB),  which  defines  the  charge  transfer  process  for  any  set  of
          materials.  Nevertheless,  this  estimate  shows  that  for  reducing  the  charge
          transfer  resistance  from  -2  Qcm2 to  -0.2  Qcm2, that  is  by  an  order  of
          magnitude, using the same set of materials, it would be necessary to decrease the
          particle size of LSM from -1  micron to ~0.1 micron. This is often difficult to
          achieve. However, using the same particle size of LSM, for example, it is possible
          to  substantially lower the  overall charge transfer  resistance by  allowing the
          reaction  of  charge transfer to spread  out some distance from the physically
          distinct electrolyte/electrode interface, well into the porous electrode. This can
          be achieved if the electrode exhibits MIEC characteristics.
            Cathodic and anodic activation polarisations, in light of  MIEC electrodes, are
          discussed below.
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