We investigate deuterium chemistry coupled with the nuclear spin-state chemistry of H 2 and H + 3 in protoplanetary disks. Multiple paths of deuterium fractionation are found; exchange reactions with D atoms, such as HCO + + D, are effective in addition to those with HD. In a disk model with grain sizes appropriate for dark clouds, the freeze-out of molecules is severe in the outer midplane, while the disk surface is shielded from UV radiation. Gaseous molecules, including DCO + , thus become abundant at the disk surface, which tends to make their column density distribution relatively flat. If the dust grains have grown to millimeter size, the freeze-out rate of neutral species is reduced, and the abundances of gaseous molecules, including DCO + and N 2 D + , are enhanced in the cold midplane. Turbulent diffusion transports D atoms and radicals at the disk surface to the midplane, and stable ice species in the midplane to the disk surface. The effects of turbulence on chemistry are thus multifold; while DCO + and N 2 D + abundances increase or decrease depending on the regions, HCN and DCN in the gas and ice are much reduced at the innermost radii, compared with the model without turbulence. When cosmic rays penetrate the disk, the ortho-to-para ratio (OPR) of H 2 is found to be thermal in the disk, except in the cold ( 10 K) midplane. We also analyze the OPR of H + 3 and H 2 D + , as well as the main reactions of H 2 D + , DCO + , and N 2 D + to analytically derive their abundances in the cold midplane.
Subject headings: astrochemistry -star-formation -protoplanetary disksRecent observations of deuterated species in disks, however, challenge the above scenario. Qi et al. (2015) observed DCO + in HD 163296 with a higher spatial resolution, and found that the inner edge of the DCO + ring is at 40 AU, which is much closer to the central star than derived by Mathews et al. (2013). Huang et al. (2017) observed six protoplanetary disks, spatially resolving DCO + , H 13 CO + , H 13 CN, and DCN in most of them. While the DCO + emission tends to be spatially more extended than the DCN emission, the relative distributions of DCO + and DCN vary among the disks. While the DCN emission is more