The molecules's behavior in edge plasma is very important in understanding thephenomena near plasma-facing materials. In this paper, various processes of deuterium moleculesare discussed and most recent data are applied in the evaluation of molecules' vibrational excita-tion. For the excitation of the molecules to triplet states, complete sets of vibrationally-resolvedcross sections are not available from the literatures. Semi-classical Gryzinski method is used to cal-culate these cross sections and rate coefficients. Finally, The vibrational distribution of deuteriummolecules is calculated by applying a quasi-steady state model for the balance of the vibrationalpopulations. The dependence on the plasma parameters is discussed.
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