  Extensive line lists generated as part of the ExoMol project are used to
compute lifetimes for individual rotational, rovibrational and rovibronic
excited states, and temperature-dependent cooling functions by summing over all
dipole-allowed transitions for the states concerned. Results are presented for
SiO, CaH, AlO, ScH, H$_2$O and methane. The results for CH$_4$ are particularly
unusual with 4 excited states with no dipole-allowed decay route and several
others where these decays lead to exceptionally long lifetimes. These lifetime
data should be useful in models of masers and estimates of critical densities,
and can provide a link with laboratory measurements. Cooling functions are
important in stellar and planet formation.
