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Macrostates of 6 F-D particles? (Answer key wrong?)

  1. Dec 5, 2015 #1
    1. The problem statement, all variables and given/known data

    For six indistinguishable particles obeyed Fermi Dirac statistics where multiplicity, Ω = 162, g = 3 (degeneracy), U = 7
    a. Find the total number of macro states.
    Answer in book: 8. Idk why
    b. Calculate the thermodynamic probability, W of each macro state.
    d. Find the average occupation number of each state
    Answer: 2.27,1.722,1.056,0.667,0.0222,0.056

    2. Relevant equations
    W = ∏(over j) gj! / (gj-Nj)!Nj!
    <Nj> = Ω^-1 * ∑(over k) NjkWk

    3. The attempt at a solution
    I drew out 6 macro states.
    I got thermo prob of 9, 27, 9,81,9,9 and the occupation numbers didn't match up.
  2. jcsd
  3. Dec 5, 2015 #2
    SOLVED. Made mistake in drawing of macro states.
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