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doi.org/10.1002/cctc.202001284
ChemCatChem
approximately thermoneutral, i.e. the change in energy is far
below �10 kJ/mol (red trace, A!B, Figure 6b). This is not
unexpected, considering that only weak van-der-Waals inter-
actions characterize the adsorption of an aldehyde at the Al
site.
Once both reactants have been adsorbed, the reduction of
cinnamaldehyde to cinnamyl alcohol can take place through a
hydrogen transfer from 2-propanol to the aldehyde (B!C in
Figure 6a). For a single site mechanism, this reaction is slightly
endergonic by 24 kJ/mol and associated with a minor activation
barrier of 36 kJ/mol (black trace, Figure 6b). Thus, this reaction
is feasible under reaction conditions provided the two reactants
could be placed at the same catalytic site. This is contrasted by
the dual-site mechanism where the equivalent hydrogen trans-
fer is strongly endergonic by 70 kJ/mol (red trace, Figure 6b).
followed by slightly exergonic adsorption of cinnamaldehyde
and an equally exergonic hydrogen transfer from 2-propanol to
cinnamaldehyde (green trace, A!B and B!C in Figure 6c). The
release of the products is finally only slightly endergonic by
7 kJ/mol and 31 kJ/mol for C!D and D!P, respectively (HC/*2,
Figure 6c). Overall, the MPV over the HC/*2 pathway displays a
much more balanced energy profile which is typically consid-
ered as a prerequisite for a highly active catalyst.
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2.5. Catalyst selection rules for the HC/*2 pathway
Having established a mechanistic understanding of the MPV
over γ-Al2O3 it is finally possible to develop a more general
understanding of the requirements for highly active materials
for the MPV using volcano plots. Volcano plots have previously
been used successfully to compare a wide range of catalytic
systems ranging from homogeneous catalysts[82,83] to
electrocatalysts[84–86] and heterogeneous catalysis.[87] Computa-
tional volcano plots fundamentally rely on the detailed knowl-
edge of the reaction mechanism and the fact that the binding
energies of the intermediates cannot be varied independently
but instead are described by a set of linear equations, the so-
called linear free energy scaling relationships (LFESR).[88–90]
Suitable LFESRs for the MPV reaction are obtained by comput-
ing the binding energies of the intermediates A to D for a large
data set (in the present case 15 main group and transition
metal oxides) and plotting the binding energies of the
descriptor intermediate (x-axis) versus that of the other
intermediates (y-axis). The descriptor intermediate is typically
chosen such that the best correlation between the data points
is obtained. Details on the obtained LFESRs for the MPV
reaction can be found in Figure S1.8. When performing such an
analysis, the computations are often restricted to only include
thermodynamics. This can be justified considering that thermo-
dynamically unfavourable catalysts will not display favourable
kinetics. Furthermore, materials with similar binding energies
are known to display comparable activation barriers since
thermodynamics and kinetics are known to be connected
through Brønsted-Evans-Polanyi relationships.[83,91–94]
Following this procedure and using the free energy of
intermediate state B (2-propoxide+adsorbed cinnamaldehyde)
or ΔG(B) as the reference state, strong scaling relations are
found for ΔG(A), and ΔG(C) (Figures S1.8a and S1.8b). On the
other hand, only fair scaling between ΔG(D) and ΔG(B) is
obtained (Figure S1.8c). These relationships can be expected to
hold both for high and low coverage situations since steric
interactions have been observed only to affect kinetics but not
scaling relations between thermodynamic properties.[83,95]
Based on the LFERs it is now possible to predict the reaction
energies of all considered reaction steps for a given descriptor,
for example, the binding free energy. By considering only the
energetically least favourable step for a given descriptor value,
the volcano plot shown in Figure 7 is obtained. This volcano
Accordingly, it is already from
a purely thermodynamic
perspective unlikely that the reaction can proceed through this
path. In the light of these unfavourable energetics and the
significant costs associated with estimating activation barriers
for the indirect hydrogen transfer between the two adsorbates,
no activation barriers were computed.
The hydrogen transfer is followed by the subsequent release
of the products (C!D and D!P black trace, Figure 6a). These
steps are again unproblematic for a single-site mechanism, i.e.
the release of acetone is exergonic by À 34 kJ/mol followed by
an approximately thermoneutral release of cinnamyl alcohol
(red trace, Figure 6b). For a dual-site mechanism, the release
reaction is, due to the intermediates being very strongly bound,
significantly less favourable. The latter requires 51 kJ/mol to
overcome the thermodynamic barrier for the release of acetone
while the release of cinnamyl alcohol is again approximately
thermoneutral. It is important to note that only a bare surface
without any excess 2-propanol adsorbed has been considered.
However, at a large excess of 2-propanol in the solution, the
surface may at least partially be covered by this species. To
model such a high coverage situation, 2-propanol molecules at
Al adsorption sites were placed on the γ-Al2O3 (110) model (*1
and *2). This allows for the construction of two high coverage
models, HC/*1 and HC/*2. Dependent on the position of the 2-
propoxide (see Figure S1.6), a different empty site and thus,
reaction mechanism can be operative (see Figure S1.7). Further-
more, having determined, that the single site mechanism is
sterically hindered and therefore highly unlikely, we decided
only to consider the dual-site path. Comparing the adsorption
energies of the initial adsorption of the 2-propanol molecules,
we found that the empty HC/*1 site binds, in the presence of a
second 2-propanol molecule, the cinnamaldehyde very strongly
with a binding energy of À 150 kJ/mol (blue trace, Figure 6c).
This is opposed to the HC/*2 sites where the adsorption of 2-
propyl alcohol is even slightly endergonic by 13 kJ/mol (green
trace, Figure 6c). In line with the very strong binding of the
initial 2-propanol, we also find the subsequent intermediates B,
C and D to bind very strongly (blue trace, Figure 6c) at the HC/
*1 site. As a result of this, the MPV reaction is equivalent to the
low coverage case blocked by the energetically unfavourable
release of the products. This is opposed to the MPV over the
HC/*2 site. Here, the slightly endergonic initial reaction is
corresponds to
a graphical representation of Sabatier’s
principle,[96] which indicates that an ideal catalyst binds the
intermediates neither too strong nor too weak. Such a balanced
ChemCatChem 2020, 12, 1–13
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