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Observations of deuterated species are useful in probing the temperature,ionization level, evolutionary stage, chemistry, and thermal history ofastrophysical environments. The analysis of data from ALMA and other newtelescopes requires an elaborate model of deuterium fractionation. This paperpresents a publicly available chemical network with multi-deuterated speciesand an extended, up-to-date set of gas-phase and surface reactions. To testthis network, we simulate deuterium fractionation in diverse interstellarsources. Two cases of initial abundances are considered: i) atomic except forH2 and HD, and ii) molecular from a prestellar core. We reproduce the observedD/H ratios of many deuterated molecules, and sort the species according totheir sensitivity to temperature gradients and initial abundances. We find thatmany multiply-deuterated species produced at 10 K retain enhanced D/H ratios attemperatures $\la 100$ K. We study how recent updates to reaction rates affectcalculated D/H ratios, and perform a detailed sensitivity analysis of theuncertainties of the gas-phase reaction rates in the network. We find thatuncertainties are generally lower in dark cloud environments than in warm IRDCsand that uncertainties increase with the size of the molecule and number ofD-atoms. A set of the most problematic reactions is presented. We listpotentially observable deuterated species predicted to be abundant in low- andhigh-mass star-formation regions.

New extended deuterium fractionation model: assessment at dense ISM conditions and sensitivity analysis