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Homework Help: Statistical Physics

  1. Jun 22, 2007 #1
    I have a paramagnatic solid, where the atoms have a spin S=1 , and a magnetic momentum
    We have a magnetic field:
    Under the influence of B the atoms can take 3 value of energy e,-e,0
    The solid is maintained at a Temperature T and N number of atoms.
    The question are like the following:
    1)write the partition function of each atom z, then deduce the one of the whole solid Z.
    2)E(T)= ??
    Limit of E(T--->0)= ??
    Limit of E(T---> Large)= ??
    3) same question for the entropy S(T)

    My work:

    2)[itex]E(T)=-N.\frac{2.e.Sinh(e/KT)}{1+2.Cosh(e/KT)} [/itex]
    If T--->0 E(T)---> -N.e
    if T--->Large E(T) ---> 0
    3)S(T)=K.Ln(Z) +E/T
    T---> 0 S(T)=N.K.Ln(2)
    T---> Large S(T)=0

    I feel I messed it all up, anyone to help ?
    Last edited: Jun 22, 2007
  2. jcsd
  3. Jun 22, 2007 #2
    I didn't write the steps in between, fairly easy, the limits I have checked them with a Matlab, and the derivatives I have checked them twice.
    But I feel my work is not correct.
    there is more questions, but need to check those before.
    Last edited: Jun 22, 2007
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