Rigorous state-to-state quantum calculations of the dynamics of the radiative association reaction He+H2+HeH2++hν are performed. For this purpose the appropriate methodology is described in detail and computational aspects facilitating the actual calculations of the resonances and the free-bound phototransition amplitudes are discussed. Under the assumptions that the reaction is a single-state process proceeding entirely on the ground electronic state potential energy surface of HeH2+ and that higher dissociation channels of the ion complex can be neglected, all resonances contributing to the association are determined and the rate constant as a function of temperature is calculated for the low-temperature interval 2⩽T⩽100 K. Its maximum value is predicted to be small, 2.1×10−20cm3s−1 at a temperature of about 20 K.

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