Having obtained key intermediate
11, direct annulation of this intermediate was considered theoretically (
Fig. 3a). DFT calculations found that the free energy barrier of the 1,3-annulation process
via transition state
18-ts was only 1.6 kcal/mol. However, generated cyclopropane-type product
19 was only 9.5 kcal/mol more stable than intermediate
11. This clearly showed that compound
19 was the kinetic product, which can be obtained reversibly from
11. Alternatively, the corresponding 1,5-annulation
via transition state
20-ts gave an energy barrier of 2.5 kcal/mol, but as generated cyclopentene product
21 was 6.6 kcal/mol more stable than 1,3-annulation product
19. Therefore, compound
21 was the thermodynamic product. The entire annulation process can be descripted as a reversible 1,3-annulation of intermediate
11 to provide intermediate
19, which undergoes the reverse process to regenerate intermediate
11. Subsequently, 1,5-annulation finally yields thermodynamic product
21. In this case, the overall activation free energy for the generation of
21 from
19 was only 12.0 kcal/mol. Therefore, compound
21 was observed as the major product experimentally. The rearomatization of intermediate
19 was also considered theoretically (see Fig. S6 in Supporting information for details). Although the free energy barrier of an intramolecular 1,2-hydrogen shift from intermediate
19 was only 25.3 kcal/mol, considering the generation of
21, the overall activation free energy for the formation of alkylated vinyl indole product
23 was up to 41.4 kcal/mol. The electrostatic potential (ESP) of complex
19 is shown in
Fig. 3b, clearly elucidating its character. In this structure, negative charge was mostly located at the C1 position, which could act as a nucleophile, while positive charge was mostly located at C2, which exhibited electrophilicity. Therefore, the formation of a C1-C2 bond
via 1,3-annulation is kinetically favorable, but the generated three-membered ring is thermodynamically unfavorable. Interestingly, C5 also exhibits weak electrophilicity, and can bond with C1
via the corresponding 1,5-annulation. Generation of the five-membered ring is thermodynamically favorable.