The mechanisms of C–H bond
insertion and alkene cycloaddition
were investigated theoretically using five model systems: group 13
analogues of the four-membered nucleophilic
N
-heterocyclic
carbenes (NHCs) (
1E
; E = group 13 element). The theoretical
findings indicate that, except for
1B
with H
2
C=CH
2
, these four-membered NHCs undergo insertion
and [1 + 2] cycloaddition reactions with difficulty because their
activation barriers are quite high (31 kcal/mol). The theoretically
confirmed chemical inertness of the four-membered NHCs
1Ga
and
1In
might explain why they have been experimentally
detected at room temperature. Additionally, our theoretical observations
indicate that the reactivity of these four-membered NHCs featuring
a central group 13 element follows the order
1B
≫
1Al
>
1Ga
>
1In
>
1Tl
. The theoretical examination suggests that the smaller
the atomic
radius of the central group 13 element in the four-membered NHC analogue
is, the larger the aromaticity of this carbenic molecule is, the higher
the basicity of this carbenic molecule in nature is, the larger its
nucleophilic attack on other oncoming molecules is, the smaller the
barrier heights of its C–H bond insertion and [1 + 2] cycloaddition
reactions will be, the higher its exothermicities for these products
will be, and thus, the greater its reactivity will be. Moreover, the
present theoretical findings reveal that the reactivity of
1B
is governed by its highest occupied molecular orbital, a nonbonding
sp
2
lone pair orbital. In contrast, the reactivity of the
four heavier
1E′
(E′ = Al, Ga, In, and
Tl) molecules is mainly determined by their lowest unoccupied molecular
orbital, a vacant p−π orbital. The conclusions gained
from this study allow many predictions to be made.