2010ApJ...716.1191W

The mass of molecular gas in an interstellar cloud is often measured using line emission from low rotational levels of CO, which are sensitive to the CO mass, and then scaling to the assumed molecular hydrogen H₂mass. However, a significant H₂ mass may lie outside the CO region, in the outer regions of the molecular cloud where the gas-phase carbon resides in C or C⁺. Here, H₂self-shields or is shielded by dust from UV photodissociation, whereas CO is photodissociated. This H₂ gas is "dark" in molecular transitions because of the absence of CO and other trace molecules, and because H₂ emits so weakly at temperatures 10 K <T < 100 K typical of this molecular component. This component has been indirectly observed through other tracers of mass such as gamma rays produced in cosmic-ray collisions with the gas and far-infrared/submillimeter wavelength dust continuum radiation. In this paper, we theoretically model this dark mass and find that the fraction of the molecular mass in this dark component is remarkably constant (∼0.3 for average visual extinction through the cloud {bar}A_ V ≃8) and insensitive to the incident ultraviolet radiation field strength, the internal density distribution, and the mass of the molecular cloud as long as {bar}A_V, or equivalently, the product of the average hydrogen nucleus column and the metallicity through the cloud, is constant. We also find that the dark mass fraction increases with decreasing {bar}A_V, since relatively more molecular H₂ material lies outside the CO region in this case.