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104  High Temperature Solid Oxide Fuel Cells: Fundamentals, Design and Applications

         reducing  conditions, Yamaji et al.  [83]  found by  SIMS  analysis that the Ga
         content decreased at the surface of  LSGM owing to the high vapour pressure of
         GaO.  However,  the  vapour  pressure  of  GaO  decreases  exponentially  with
         decreasing temperature and is negligible at 600°C. Therefore, evaporation of
         GaO does not appear to be  a problem when LSGM  is used as an electrolyte in
         SOPCs at intermediate temperatures.
           Hayashi et al. [84] and Ishihara et al. [79] investigated thermal expansion of
         LSGM  and  showed  that  it  increases  with  increasing  dopant  content.  The
         estimated average thermal expansion coefficient was around 11.5 x  10-6/1< in
          the temperature range from room temperature to 1000°C. This is slightly larger
          than that of YSZ but slightly smaller than that of than CGO.
            The diffusivity of  oxide ions in LSGM was studied with l80 tracer  diffusion
         measurements  [85]. LSGM exhibits a large diffusion coefficient because of  the
          larger mobility of  oxide ions compared to that in the fluorite structured oxides
          (Table 4.4). The perovskite structure has a large free volume in its lattice and this
          gives a high diffusivity of oxide ions, resulting in high conductivity.


          Table 4.4  Comparison of mobility of oxide ion in selected fluorite and LSGM oxides at
          1073 I< [85]
                        Dt(cm2/s)   E,(eV)   6   [Vi] (~rn-~) D (cm2/s)   p (cm2/Vs)
          Zro.s1Yo.190z   6.2 x    1.0    0.10   2.95 x 10’’   1.31 x   1.41 x 10-j
          Zro.8j8Cao.14202  7.54 x   1.53   0.142   4.19 x 1021  1.06 x   1.15 x
          Zro.s5Cao.1502   1.87 x lo-*   1.22   0.15   4.43 x lo2’   2.49 x   2.69 x
          Ce0.9Gd0.102   2.70 x lo-*   0.9   0.05   1.26 x lo2’  1.08 x   1.17 x
          LSGM(9182)    3.24 x lo-’   0.74   0.15   2.52 x 1021  6.40 x   6.93 x
          LSGM( 8 2 82)   4.13 x lo-’   0.63   0.20   3.34 x loz1  6.12 x   6.62 x

          D,,  tracer  diffusion  coefficient; E,,  activation energy; 6, oxygen deficiency;  [VO],  oxygen vacancy
          concentration;  D, self-diffusion coefficient; p, mobility.


          4.63 LaGaO,  Doped with Transition Elements

          LSGM has been modified by doping in several ways. Kim et al. [86] investigated
          the effects of  Ba  and Mg  doping rather  than Sr  and Mg.  These gave similar
          conductivities. Larger effects were observed when transition metals such as Co
          were used at levels below 10 mol% 1871. Baker et al. [75] investigated the effects
          of Cr and Fe on the oxide ion conductivity of LaGa03. Doping Cr or Fe on the Ga
          site induced  hole  conduction  in  the LaGa03, resulting  in  decreased stability
          against reduction. On the other hand, Ishihara et aI. [8 71 found that doping with
          small amounts of transition metals, particularly Co or Ni, increased the oxide ion
          conductivity in LSGM.
            Figure 4.23 shows an Arrhenius plot of  electrical conductivities for LaGa03
          doped with various transition metal cations on the Ga  site. The conductivity
          increased  by  doping  with  Co, Ni  and Fe,  and  decreases by  doping  with  Cu
          and Mn. n-Type conduction is greatly enhanced by doping with Mn and Ni, and
          p-type conduction is increased by doping with Cu. Kharton et al. [88] also found
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