We use a new high-accuracy all-dimensional potential to compute the cross
second virial coefficient B12(T)
between molecular hydrogen and carbon monoxide. The path-integral method is used
to fully account for quantum effects. Values are calculated from 10 K to 2000 K
and the uncertainty of the potential is propagated into uncertainties of
B12. Our calculated
B12(T) are in excellent
agreement with most of the limited experimental data available, but cover a much
wider range of temperatures and have lower uncertainties. Similar to recently
reported findings from scattering calculations, we find that the
reduced-dimensionality potential obtained by averaging over the rovibrational
motion of the monomers gives results that are a good approximation to those
obtained when flexibility is fully taken into account. Also, the
four-dimensional approximation with monomers taken at their vibrationally
averaged bond lengths works well. This finding is important, since
full-dimensional potentials are difficult to develop even for triatomic monomers
and are not currently possible to obtain for larger molecules. Likewise, most
types of accurate quantum mechanical calculations, e.g., spectral or scattering,
are severely limited in the number of dimensions that can be handled.