Kinetic Modeling of the Ru-MACHO-Catalyzed CO2 Hydrogenation to Methanol

One of the most efficient and extensively studied homogeneous catalysts for CO₂ hydrogenation to methanol is the Ru-MACHO-Ph complex. However, the exact nature of the resting states of the catalyst, which could be Ru-formate, Ru-carbamate, and [Ru-CO]⁺, as well as the contribution of various pathways for amide hydrogenation, remain unresolved questions. In this study, we employed a computational protocol including conformational search with a semiempirical method (GFN2-xTB), followed by geometry optimization and energy calculations using density functional theory (M06/M06L) and coupled-cluster (DLPNO-CCSD(T)) methods to investigate the most plausible pathways for the CO₂ hydrogenation reaction assisted by dimethylamine (DMA). Microkinetic modeling was used to predict the methanol turnover number (TON), which aligns well with experimental data, and to analyze the proposed mechanisms and resting states of the catalyst. Our model indicates that dimethylformamide (DMF) is initially hydrogenated to hemiaminal through a metal-ligand cooperative mechanism. The resulting hemiaminal is then decomposed via a methanol-assisted organic reaction in a catalyst-independent process. Additionally, Ru-formate (3) was identified as the primary resting state, along with Ru-carbamate (8). Furthermore, we found that increasing the DMA concentration enhances the methanol TON, in agreement with previous experimental results.