Density functional computations of Rh(I)-catalysed hydroacylation and hydrogenation of ethene using formic acid

Abstract

The rhodium-catalysed hydroacylation of alkene is one of the most useful C–H bond activation processes. The C–C bond-forming reactions via C–H bond activation have extensively been the focus of study in the fields of organic and organometallic chemistry. In this work, density functional theory has been used to study Rh(I)-catalysed hydroacylation and hydrogenation of ethene with formic acid. All the intermediates and the transition states were optimised completely at the B3LYP/6-311++G(d,p) level (LANL2DZ(d) for Rh, P). Calculation results confirm that Rh(I)-catalysed hydroacylation of ethene is exothermic and the released Gibbs free energy is − 60.39 kJ/mol. Rh(I)-catalysed hydrogenation of ethene is also exothermic and the released Gibbs free energy is − 150.97 kJ/mol. Rh(I)-catalysed hydroacylation of ethene is the dominant reaction mode for Rh(I)-catalysed hydroacylation and hydrogenation of ethene with formic acid. In Rh(I)-catalysed hydroacylation of ethene, the H-transfer reaction is prior to the C–C bond-forming reaction. Therefore, the reaction mode ‘a’ (i.e. ca → M1 → TS1 → M2 → TS2a → M3a → TS3a → M4 → P1) is the dominant reaction pathway for Rh(I)-catalysed hydroacylation and hydrogenation of ethene. The theoretically predicted dominant product is propane acid.