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Logs rearranging, relates to paramagnetism

  1. Mar 3, 2008 #1
    [SOLVED] Logs rearranging, relates to paramagnetism

    1. The problem statement, all variables and given/known data

    I want to show that NlnN - n1ln(n1) - n2ln(n2) is equal to:

    -N{(n1/N)ln(n1/N) + (n2/N)ln(n2/N)}

    apparently i can do this by the artifice of adding and subtracting the term n1lnN and then regrouping.

    2. Relevant equations

    3. The attempt at a solution

    I am getting the required form but i also get an additional (LogN-1)(n1/N + n2/N -1)

    Im wondering if this cancels out somehow. This question is about paramagnetism and where n1 and n2 are the number of atoms where the moment points up or down respectively.
  2. jcsd
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