We have made a survey of CH3OH in 27 of our standard sample of 11 cirr
us cores and 27 Clemens-Barvainis translucent cores whose structures a
nd chemistry have been studied earlier in this series. CH3OH is detect
ed in 17 objects, favoring those with larger extinctions. The mean fra
ctional abundance is 1(-8), but if the four highest abundance objects
are omitted, the mean abundance is 3(-9), the same as in two cold dark
clouds. Collision rates remain poorly known for CH3OH, but uncertaint
ies in propensity rules are shown not to affect abundances more than 1
0%. The ''geometric'' component of the rates is uncertain by a factor
of 2; hence, also, the abundances. The gas-phase chemistry is particul
arly simple, formation occurring only via the radiative association re
action CH3+ + H2O --> CH3OH2+ + hv followed by electron recombination.
We have verified the predictions of this simple model by using the fu
ll Standard Model of over 3000 reactions, with conditions suitable for
translucent clouds. These gasphase models predict abundances 4 orders
of magnitude less than the observed abundances. We have examined grai
n surface chemistry in which accreted CO hydrogenates to CH3OH on the
surface under the action of UV or cosmic rays and then desorbs in vari
ous ways, photodesorption dominating. Despite the uncertainties of the
grain processes, they can easily explain the observed abundances and
in fact imply much lower desorption efficiencies than are usually adop
ted. Methanol is of ''intermediate'' complexity, as are several other
species we will study in the next papers, with the goal of testing the
boundary between gas-phase and grain chemistry, the latter believed t
o be important for the most complex species.