FULL PAPER
energy of the C(2)À N(1) is larger than that of
aziridines. Given these differences in the three- and
four-membered ring systems, the SN2 type oxidative
addition of the azetidine is reasonably higher than that
for aziridines.
The resulting intermediate (I2, À 8.9 kcal/mol)
interacts with water molecules in the solution to initiate
the consecutive proton and hydroxy anion transfer to
the N atom and the Pd center of the oxidative adduct,
respectively. Calculated free energy barrier for this
process is 9.4 kcal/mol. When the resulting Pd-hydroxo
intermediate (I3, À 6.6 kcal/mol) encounters PhB(OH)2
in the solution, a relatively stable intermediate (I4,
À 12.3 kcal/mol) is formed. It is important to note that
the concentration of PhB(OH)2 in the solution is large.
Thus, I4 in solution is stabilized, allowing the trans-
Figure 4. Transition state groups for the ring-opening step.
metalation with an overall free energy barrier of represents the ring-opening through the C(2)À N(1)
24.2 kcal/mol, giving rise to I5 (À 29.1 kcal/mol). After bond cleavage with stereoinversion in an SN2 fashion,
removing B(OH)3 from the metal coordination sphere giving rise to the cross-coupling product. In Group B,
of I5, a more stable intermediate I6 (À 34.5 kcal/mol) ring opening through the C(4)À N(1) bond cleavage
can be formed. Finally, the reductive elimination gives the regioisomeric cross-coupled product. The
occurs with a free energy barrier of 8.9 kcal/mol enantiomer of the product and its regioisomeric
(TS4), lending to the product (P). At the same time, coupled product can be formed through the TSs in the
the catalyst (MeIPrÀ Pd) for the next catalytic cycle is Group E and Group F, respectively, where stereo-
recovered.
chemistry is retained. Group C/G and Group D/H
Based on the computed free energy profile, we represent the ring opening through the C(3)À C(4) and
concluded that the selectivity-determining step of the C(2)À C(3) bonds, respectively.
mechanism is the ring opening of the azetidine (i.e.,
Fully optimized TSs, their relative free energies,
the oxidative addition), and the rate-determining step and existence probabilities are summarized in Table 4.
of the mechanism is the transmetalation. The overall The lowest energy transition state, TSa (=TS1) in
free energy barrier for the transmetalation is 26.1 kcal/ Group A, contributes to 58.8% of the cross-coupling
mol (i.e. free energy difference between TS3 and I1), product formation, and TSb (21.3%), TSc (18.0%),
which can be achieved under the reaction conditions. and TSd (1.0%) also give some contributions. TSe
When N-tosyl-2-arylaziridine was used as the substrate (0.7%) and TSf (0.1%) are the lowest energy transition
(i.e., a three-membered ring system), the overall free states in Group F, leading to the regioisomeric cross-
energy barrier for the rate-determining step (i.e. trans- coupling product. However, their contributions are
metalation) was relatively lower (20.9 kcal/mol).[11c] very low (0.8% in total). Thus, concentration of the
Compared to the three-membered ring system, the subsequent intermediates or the rate of the formation
four-membered ring system is sterically-demanding for of the regioisomeric cross-coupling product would be
the transmetalation step that requires for the associa- very low. The existence probabilities of the TSs in
tion of an oxidative adduct and phenylboronic acid. Group C, D, G, and H are zero. Therefore, the ring
Thus, the entropic penalty to overcome the barrier for openings through C(3)À C(4) and C(2)À C(3) are un-
the transmetalation is larger in the four-membered likely to occur. This prediction is consistent with the
system. As a result, the four-membered ring-opening experimental results. By considering all TSs, the
cross-coupling reaction rate would be lower than that computed regioselectivity (99:1) is in good agreement
of the three-membered ring-opening cross-coupling with the experimental results (100:0).
reactions. To accelerate the desired coupling reaction
Energy decomposition analysis. In order to get
of azetidines, a higher reaction temperature than some insights into the origin of the selectivity of the
aziridines is requried. This concomitantly allowed for reaction between MeIPrÀ Pd and 1a, an EDA was
side reactions that lead to byproducts such as 4a, 5a, performed (Table 5) using the lowest energy transition
and 6a through β-hydride elimination. As a result, sates that lead to the major product (TSa) and the
moderate yield of the desired cross-coupled products minor product (TSe). Geometries of the optimized TSa
was observed.
and TSe are shown in Figure 5. Computed free energy
Regioselectivity. We have searched reaction paths difference (ΔΔG) between TSa and TSe is 2.6 kcal/
for the regioselectivity-determining ring-opening step mol, while the potential energy difference (ΔΔE) is
using an MC-AFIR search. Calculated TSs were 2.3 kcal/mol. Thus, ΔΔE is the key to the origin of the
categorized into eight groups (Figure 4). Group A selectivity, and the entropy plays a minor role. For the
Adv. Synth. Catal. 2021, 363, 1–11
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