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Partition function lennard jones potential

  1. Dec 27, 2011 #1
    hi folks,

    I want to calculate the potential energy part of the partition function of 2 particles interacting via the Lennard-Jones potential. This partition function should be proportional to:

    [itex]\int_0^\infty exp(-\beta * 4((\frac{1}{r})^{12}-(\frac{1}{r})^6)) dr[/itex]

    But this integral won't converge, since the integrand is approx. equal to 1 for large r.

    What is my mistake?


  2. jcsd
  3. Feb 27, 2012 #2
  4. Apr 2, 2012 #3
  5. Nov 1, 2013 #4
    Last edited by a moderator: Sep 25, 2014
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