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Quantum calculations are reported for the stereodynamic control of the H +D$_{2}\longleftrightarrow$ D + HD chemical reaction in the energy range of 1-50K. Stereodynamic control is achieved by a formalism similar to that reported byPerreault et al. [Nature Chem. 10, 561 (2018)] in recent experimental works inwhich the alignment of the molecular bond axis relative to the incidentrelative velocity is controlled by selective preparations of the molecule in aspecific or superposition of magnetic projection quantum numbers of the initialmolecular rotational level. The approach presented here generalizes theexperimental scheme of Perreault et al. and offers additional degree of controlthrough various experimental preparation of the molecular alignment angle.Illustrative results presented for the H + D$_{2}$ and D + HD reactions showsignificant control with the possibility of turning the reaction completely onor off with appropriate stereodynamic preparation of the molecular state.Various scenarios for maximizing and minimizing the reaction outcomes areidentified with selective preparation of molecular rotational states.

On the use of stereodynamical effects to control cold chemical reactions: the H + D$_{2}\longleftrightarrow$ D + HD case study