# Rotational contribution to heat capacity

1. Nov 2, 2008

### mhellstrom

Hi all,

I have to determine the contribution from rotational partition function. I have determined the rotational partition function as

$$q_{rot} = \frac{T}{\omega}*(1+\frac{1}{3}(\frac{\omega}{T}+\frac{1}{15}(\frac{\omega}{T})^2+...)$$

where T >> omega and the expansion is Euler-Maclaurin. In order to find the internal energy I would like differentiate q with regard beta(kT) but I don't know ho to proceed... Any hints or advice appreciated thanks in advance.

Best
Magnus
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