In
this work, the molecular mechanisms for the intramolecular cycloaddition
reactions of the 1,3-dithiolium cation with adjacent alkenyl and allenyl
groups were investigated by density functional theory calculations.
Transition states for the mechanistic steps were searched, and their
connections to corresponding reactive intermediates were validated
by the intrinsic reaction coordinate method. Our studies demonstrate
that both the alkenyl and allenyl groups can readily react with a
neighboring 1,3-dithiolium cation first through a one-step asynchronous
[3 + 2] cycloaddition path, with moderate activation energy barriers
(ca. 20–30 kcal/mol) to overcome. Subsequent to the intramolecular
dithiolium–alkene/allene cycloadditions, the resulting intermediates
continue to undergo a series of reactions, including rearrangement,
ring opening, and deprotonation to eventually yield the thermodynamically
favored products, which carry a fused tricyclic molecular skeleton,
3,8-dihydro-2
H
-indeno[2,1-
b
]thiophene.
Detailed geometric and energetic properties for all of the stationary
points (transition states and intermediates) on the reaction potential
surfaces have been calculated and examined. Key transition states
and reactive intermediates were subjected to quantum theory of atoms
in molecules and natural bonding orbital calculations to elucidate
their bonding features and the stabilizing effects arising from orbital
interactions. Finally, a comparative study using the continuum solvation
model based on the charge density was conducted to evaluate the solvent
effects on the intramolecular dithiolium–alkene/allene cycloadditions,
which are the rate-limiting steps of the overall reactions. The results
show that different organic solvents (polar and nonpolar) do not lead
to much variations in the heights of activation energy barriers and
hence indicate that solvent effects are actually insignificant on
the reactions.