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Material Science Question about Conductivity.

  1. Dec 6, 2015 #1
    ZrO2 is an ionic conductor used in automobile engine control systems. At 800oC the mobility of Zr4+ is 0.01m2/V.sec, and of O2- it is 0.04 m2/V.sec., there are 4.5 x 1017 mobile Zr4+ ions/m3, and 2.0 x 1018 mobile O2- ions/m3. What is the conductivity of ZrO2 at this temperature, in S.m-1?

    2. Relevant equations
    σ=ni*|e|*μe + ni*|e|*μh

    3. The attempt at a solution
    (.01)(4.5E17)(1.6E-19)+(.04)(2E18)(1.6E-19)=0.01352 (ions*C)/(mVs)~>(ions)/(Ωm)

    Am I supposed to cancel out ions somehow. I am confused about how this is supposed to work however. I think I am missing a few fundamental concepts here.
  2. jcsd
  3. Dec 6, 2015 #2
    It seems to me that you forgot to take into account the charge: four elementary charges on Zr4+ and two on O2-.
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