Non-equilibrium chemistry and cooling in the diffuse interstellar medium- I. Optically thin regime

An accurate treatment of the multiphase interstellar medium (ISM) in hydrody-namic galaxy simulations requires that we follow not only the thermal evolution of the gas, but also the evolution of its chemical state, including its molecular chemistry, without assuming chemical (including ionisation) equilibrium. We present a reaction network that can be used to solve for this thermo-chemical evolution. Our model fol-lows the evolution of all ionisation states of the 11 elements that dominate the cooling rate, along with important molecules such as H2 and CO, and the intermediate molec-ular species that are involved in their formation (20 molecules in total). We include chemical reactions on dust grains, thermal processes involving dust, cosmic ray ion-isation and heating and photochemical reactions. We focus on conditions typical for the diffuse ISM, with densities of 10−2 cm−3. nH. 104 cm−3 and temperatures of 102 K. T. 104 K, and we consider a range of radiation fields, including no UV radiation. In this paper we consider only gas that is optically thin, while paper II considers gas that becomes shielded from the radiation field. We verify the accurac