Hydroxyl (OH) is expected to be abundant in diffuse interstellar molecular gas because it forms along with
H2 under similar conditions and forms within a similar extinction range. We have analyzed absorption
measurements of OH at 1665 MHz and 1667 MHz toward 44 extragalactic continuum sources, together with the
J = 1–0 transitions of 12CO, 13CO, and C18O, and the J = 2–1 transition of 12CO. The excitation temperatures of
OH were found to follow a modified lognormal distribution f T exp ,
T ex 1
2
ln ln 3.4 K
2
ex 2
µ - 2 p s s
⎡ -
⎣ ⎤
⎦ ( ) [ ( ) ( )] the peak of
which is close to the temperature of the Galactic emission background (CMB+synchrotron). In fact, 90% of the
OH has excitation temperatures within 2 K of the Galactic background at the same location, providing a plausible
explanation for the apparent difficulty of mapping this abundant molecule in emission. The opacities of OH were
found to be small and to peak around 0.01. For gas at intermediate extinctions (AV ∼ 0.05–2 mag), the detection
rate of OH with a detection limit N(OH) ; 1012 cm−2 is approximately independent of AV. We conclude that OH is
abundant in the diffuse molecular gas and OH absorption is a good tracer of “dark molecular gas (DMG).” The
measured fraction of DMG depends on the assumed detection threshold of the CO data set. The next generation of
highly sensitive low-frequency radio telescopes, such as FAST and SKA, will make feasible the systematic
inventory of diffuse molecular gas through decomposing, in velocity, the molecular (e.g., OH and CH) absorption
profiles toward background continuum sources with numbers exceeding what is currently available by orders of
magnitude.