Methylene transfer or carbometalation? A theoretical study to determine the mechanism of lithium carbenoid-promoted cyclopropanation reactions in aggregation and solvation States.

Density functional theory calculations for the lithium carbenoid-promoted cyclopropanations in aggregation and solvation states are presented in order to investigate the controversy of the mechanistic dichotomy, that is, the methylene-transfer mechanism and the carbometalation mechanism. The methylene-transfer mechanism represents the reaction reality, whereas the carbometalation pathway does not appear to compete significantly with the methylene-transfer pathway and should be ruled out as a major factor. A simple model calculation for monomeric lithium carbenoid-promoted cyclopropanations with ethylene in the gas phase is not sufficient to reflect the reaction conditions accurately or to determine the reaction mechanism since its result is inconsistent with the experimental facts. The aggregated lithium carbenoids are the most probable reactive species in the reaction system. The calculated reaction barriers of the methylene-transfer pathways are 10.1 and 8.0 kcal/mol for the dimeric (LiCH2F)2 and tetrameric (LiCH2F)4 species, respectively, compared with the reaction barrier of 16.0 kcal/mol for the monomeric LiCH2F species. In contrast, the reaction barriers of the carbometalation pathways are 26.8 kcal/mol for the dimeric (LiCH2F)2 and 33.9 kcal/mol for the tetrameric (LiCH2F)4 species, compared with the reaction barrier of 12.5 kcal/mol for the monomeric LiCH2F species. The effects of solvation were investigated by explicit coordination of the solvent molecules to the lithium centers. This solvation effect is found to enhance the methylene-transfer pathway, while it is found to impede the carbometalation pathway instead. The combined effects of the aggregation and solvation lead to barriers to reaction in the range of 7.2-9.0 kcal/mol for lithium carbenoid-promoted cyclopropanation reactions along the methylene-transfer pathway. Our computational results are in good agreement with the experimental observations.