# Partition function lennard jones potential

1. Dec 27, 2011

### Derivator

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:

$\int_0^\infty exp(-\beta * 4((\frac{1}{r})^{12}-(\frac{1}{r})^6)) dr$

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

What is my mistake?

Best,

derivator

2. Feb 27, 2012

*push*

3. Apr 2, 2012

*push*

4. Nov 1, 2013

### mcodesmart

Last edited by a moderator: Sep 25, 2014