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Fermi Distribution of Energy Levels

  1. Oct 1, 2012 #1
    Based on Fermi distribution, if there are two electron energy levels with occupation possibility of ¼ and ¾, respectively, calculate energy difference between these two levels.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 1, 2012 #2
    Hello, Did you tried an attempt for obtaining a solution? I advice you to start from Fermi-Dirac distribution formula! Write down the formula and each terms present in the formula, then you knwo what to do next,
    Cheers, Rajini
     
  4. Oct 1, 2012 #3
    Sorry forgot to put my attempt,

    P(E)=1eE/kBT−1 ------------(1) from eq. 1, P(E1)=1/4 and P(E2)=3/4 E1=kBTln(5) E2=kBTln(7/4) hence DeltaE=E1−E2=kBTln(20/7)=1.0498 kBT

    I was sure if this answer was okay since the distribution include the chemical potential as well.
     
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