Density functional theory calculations have been carried out to study the mechanisms of gold(I)-catalyzed [3 + 2] cycloaddition reactions of pyridinium N-(heteroaryl)-aminides, as nucleophilic nitrenoids, with electron-rich alkynes, leading to imidazo-pyrimidines and imidazo-pyrazines. The calculation results suggest that the reaction mainly involves two plausible pathways leading to different products, since two carbon atoms of the asymmetric alkyne are attacked selectively by the aminide nitrogen atom. These reaction steps include C-C bond activation of the alkyne by the gold complex, a bimolecular nucleophilic attack, a closed-loop process and migration of the pyridine molecule to finally give cycloaddition products. The closed-loop process is the rate-limiting step for the whole catalytic reaction and the energy barrier shows that the pathway of the nucleophile onto the amide carbon atom of the alkyne with the electron-withdrawing group is favored. Through a detailed mechanistic investigation, we have explained the regioselectivity and the major/minor products observed by Davies et al. in gold(I)catalyzed [3 + 2] cycloaddition reactions of nucleophilic nitrenoids with electron-rich alkynes. Fig. 3 Free energy profiles calculated for the gold-catalyzed [2 + 3] cycloaddition of pyridinium N-(2-pyrimidinyl) aminide with thiophen-2ynamide. The relative free energies are given in kcal mol À1 . This journal is View Article Online found for b-TS2 in comparison to that for a-TS2 may be owing to the effect of the thienyl group. The next step for pyridine migration results in the new Au imidazole intermediate, b-IN3.Then, b-IN3, through a barrier-free process, easily generates the nal product (P3), regenerating the catalyst (CA). The whole catalytic cycle is exothermic by À65.2 kcal mol À1 . Fig. 4 Fully optimized structures of the intermediates and the transition states for pathway b are shown in Fig. 3, with selected bond lengths inÅ. The H atoms in structures are omitted for clarity. 62104 | RSC Adv., 2016, 6, 62099-62108 This journal is