Propyl-cyanide isomer formation on interstellar ices from radical association: a quantum theoretical study

Both linear and branched isomers of propyl cyanide (PrCN; C3H7CN) are ubiquitous in interstellar space. To date, PrCN is one of the most complex molecules found in the interstellar medium. Furthermore, it is the only one observed species to share the branched atomic backbone of amino acids, some of the building blocks of life. Radical-radical chemical reactions are examined in detail using density functional theory, ab initio methods, and the energy resolved master equation formalism to compute rate constants at a low pressure value prevalent in the ISM. Quantum chemical studies are reported for both isomers considering two possibilities: the gas phase association and the surface reactions of radicals on a 34-water amorphous ice model. The reaction mechanism involves the following radicals association: CH3CHCH3 + CN, CH3 + CH3CHCN and CH3CH2 + CH2CN, CH3 + CH2CH2CN, CN + CH3CH2CH2 for iso-PrCN and n-PrCN formation, respectively. Two DFT methods: M062X and omega B97XD with the 6-311++G(d,p) basis set were tested for reactions in gas phase and on the ice mantle. In the gas phase, MP2/aug-cc-pVTZ level of theory is also used, and the energetics of the five reactions are calculated using explicitly correlated coupled cluster (CCSD(T)-F12) method. All reaction paths are exoergic and barrierless in the gas phase and on the ice-model, suggesting that the formation of iso-PrCN and n-PrCN is efficient on the ice model adopted in this paper. The gas phase rate constants of formation of both isomers can be eventually used as a high limit for the solid state reactions.