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was released from benzoyl chloride, and hosted by the free formate
residue released earlier. Surprisingly, it did not combine with O,
but indeed formed a bond with C in the formate residue. The
r
O atom of such a formate residue, on the other hand, attempted
to establish bonding to C(2) of benzoyl chloride. Therefore, there
are three elementary steps occurring in the first primary process,
as shown in transition state 1 (TS1). In terms of free energy, TS1
is 22.22 kcal/mol (0.96 eV) above the initial state 1. Upon perform-
ing vibrational analysis for TS1, we observe one imaginary
wavenumber of À97 cmÀ1, which is associated with the bond
breaking process. After this process, we obtained complex 2, which
was 16.21 kcal/mol (0.70 eV) above 1 in terms of free energy. In
complex 2, the benzoyl residue was successfully attached to N with
electron transfer from N to benzoyl chloride as confirmed by Mul-
liken charge analysis. More importantly, the CAN bond in the five
member ring was reduced from
p to r. This is important for a com-
Fig. 3. PXRD analysis of VNU-11(Hf) before (blue) and after (red) the symthesis 2-
phenylbenzoxazole in comparison to the simulated pattern. Inset: The recycling
experiments of the reaction over five cycles (the numbers on the top represent the
yield of reaction. (For interpretation of the references to color in this figure legend,
the reader is referred to the web version of this article.)
plete dissociation of CAN, so that C(2) from benzoyl could come in
to substitute the old C(1) site from the five member ring. At this
point, the C(1)AN single bond distance was 1.46 Å. To investigate
the C(1)AN bond dissociation, we performed partial optimization
for the cleavage of the bond. When reaching a distance of 2.79 Å,
the CAN bond underwent a transition state for dissociation (TS2),
and the reaction free energy barrier was 31.21 kcal/mol (1.35 eV).
Executing vibrational analysis for TS2, we obtained a negative
wavenumber of À85 cmÀ1. In fact, this free energy barrier is the
highest barrier in the entire reaction scheme, and plays the deci-
sive role in the chemical reaction. Fortunately, this reaction was
actually carried out under the activation of microwave; therefore,
that high reaction barrier could be overcome. One other reason
for the high reaction barrier is that, during this process, not only
the NAC(1) bond was broken. Indeed, we observed the formation
of chloro-formaldehyde. In a previous paper [17], the CAO bond
was weakened under the influence of OHÀ, and subsequently suf-
fered dissociation to achieve ring opening. Our reaction was carried
out under the acidic condition, and our DFT calculations verified
that it was not possible to break the CAO bond. Indeed, the rupture
of CAN bond was the most sensible strategy so that the reaction
would come to the C substitution in a later stage.
reused in the reaction of (1) and (2) for 5 times with slightly fall of
reactivity and insignificant decrease of yield by about 5%. This
should be able to imply the recyclability of VNU-11(Hf) as an
important feature for industrial application.
2.3. Mechanistic considerations
A study mechanism for the ring open path way acylation reac-
tion has been also investigated computationally using benzoxazole
and benzoyl chloride. Initially, we allowed benzoxazole to interact
with the Hf cluster without the presence of benzoyl chloride. It was
confirmed experimentally by 13C NMR that upon the use of ben-
zaldehyde, there must be a C substitution in the five-membered
ring, and it was not possible to undergo CAH activation [36]. More
specifically, there must be a ring opening at first, then C from the
carbonyl group in benzoyl chloride would come in and replace
the C in the five-membered ring. Therefore, while exploring the
reaction mechanism, we strictly followed the pathway involving
C substitution.
At this point, N already connected to benzoyl, while still
remained bonding with the original six-membered phenyl ring.
Moreover, there was a formate residue attached to the aromatic
phenyl ring. The subsequent process concerned the release of
chloro-formaldehyde. In complex 3, the
formaldehyde still linked with N through a weak bond with a dis-
tance of 1.50 Å. In this case, the CAO bond was not a bond, and O
Since N possessed one pair of electrons, it was highly attracted
by one Hf site. In the initial step, the HfAN bond could be estab-
lished easily. Since the reactant came to bind with Hf, the nearby
Hf-formate bond could be released with a low energy barrier of
0.36 eV (8.3 kcal/mol). Such dissociated formate residue will
involve in a later stage of the catalyzing process. According to
our optimization, it is interestingly observed that the resultant pro-
duct in this step was more energetically stable than the initial pro-
duct by an amount of 2.64 kcal/mol. After accomplishing those
benchmarking calculations, we introduced benzoyl chloride to
the system and started to explore the reaction mechanism. This
structure is denoted as complex 1 in our reaction mechanism in
Scheme 1. For the ease of discussion, we denote the C atom in
the five-membered ring of benzoxazole as C(1), while the C of ben-
zoyl chloride is denoted as C(2). Those two C atoms played a signif-
icant role in the overall reaction mechanism. The attachment of N
to Hf was important, because it would help to reduce the C(1)@N
bond. As a result, C(1) became more attractive and subsequently
established a bond to O from benzoyl chloride. On the other hand,
upon the consideration of O from benzyol chloride attaching to Hf,
it would be more difficult for this O atom to form a bond with C(1)
from the unattached benzoxazole. More importantly, the bonding
interaction between N and Hf helps to weaken the CAN bond, thus
leads to its rupture later on.
C
from chloro-
p
had to complete its electron configuration with a linkage with Hf.
To release chloro-formaldehyde, the NAC bond had to be broken,
and we found a transition barrier of 14.81 kcal/mol (0.64 eV) with
an imaginary vibrational wavenumber of À56 cmÀ1 (TS3). Chloro-
formaldehyde was formed in this stage (complex 4), and it is soon
broken into HCl and CO. The presence of HCl can be confirmed
experimentally by the decrease of pH (2.542 before reaction and
1.567 after reaction). For simplicity of calculations, we eliminate
chloro-formadehyde from the entire structure from this point.
After eliminating chloro-formaldehyde, we optimized complex 5,
as shown in Scheme 1. It should be noticed that after the departure
of chloro-formaldehyde, the structure was unstable due to the lack
of bonding on the C(1) site.
This problem was soon taken care of by an internal re-
arrangement, and an intermediate seven-membered ring was
established, as seen in complex 5. It should be noticed, however,
that C(1) connected to three surrounding O sites. This bonding
behavior was indicative of structural instability. Therefore, the
intermediate complex 5 would soon suffer from bond dissociation;
one of the three OAC bond was broken very easily (to TS4 as a mat-
ter of structural re-arrangement). The total energy barrier for this
Electron-rich C(2) attacked the N site of the initial reactant, and
attempted to establish a new
r bond. Almost at the same time, Cl