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The Partition Fuction

  1. May 4, 2014 #1
    1. The problem statement, all variables and given/known data
    Consider a system at 290 K for which the energy of the nth state is En=n(.01 eV). Using 1+a+a2+a3...=1/(1-a) for a <1 where necessary, Find the value of the partition function.


    2. Relevant equations

    3. The attempt at a solution


    Z=∑e-βE[itex]_{}n[/itex]

    β=1/κT

    I don't know what the energy of the state would be so I can't figure out the problem.
     
  2. jcsd
  3. May 4, 2014 #2
    What do you mean you don't know what the energy of the state is? You wrote it already: E(n) = (0.01 eV)*n. It is linear in n.
     
  4. May 4, 2014 #3
    So, I would then have
    Z=(sum)e^(-(1/((1.38*10^-23)(290)))(n(0.01))
     
  5. May 4, 2014 #4
    No. You have incompatible units.
     
  6. May 4, 2014 #5
    I don't understand it.
     
  7. May 4, 2014 #6

    Matterwave

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    Gold Member

    tman means, your units of energy is in eV, but your Boltzmann constant is using units of J/K. You should convert one or the other to have the same units.
     
  8. May 4, 2014 #7
    Oh ok, which is 8.625*10^-5 eV/K
     
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