  The second virial coefficient for the Mie potential is evaluated using the
method of brackets. This method converts a definite integral into a series in
the parameters of the problem, in this case this is the temperature $T$. The
results obtained here are consistent with some known special cases, such as the
Lenard-Jones potential. The asymptotic properties of the second virial
coefficient in molecular thermodynamic systems and complex fluid modeling are
described in the limiting cases of $T \rightarrow 0$ and $T \rightarrow
\infty$.
