ACS Catalysis
Research Article
compared with the monomer route, as expected from the larger
coverage of cyclohexanol dimers at higher concentrations
in Section 3 of the SI). Note also that the derivations of eqs 1
and 2 do not require that E1 elimination be the sole
dehydration mechanism; assumptions of a series of steps
along a concerted E2 path would lead to the same rate
expressions, albeit with somewhat different meanings assigned
to the rate constants.
(section 2.3). Thus, we deduce that cyclohexanol dehydration
in decalin (an apolar medium) proceeds primarily via E1
elimination on the zeolites, with the highest degree of rate
control exerted by the C−O cleavage step. This (tentative)
conclusion is further analyzed using activation enthalpies and
entropies.
The rate constants, obtained by regression, for both
monomer- and dimer-mediated dehydration routes increase
with the increase in pore dimensions from MFI to FAU,
following the same trends observed for TOFs at any given
concentration. The contribution from the monomer pathway
for dehydration decreases with increasing cyclohexanol
concentration. The rate constant for the monomer pathway
is 30−44 times greater than that for the dimer pathway on the
two large-pore zeolites, whereas the difference in monomer-
path rate constant is much smaller (∼9 times) on MFI. As a
result, at the lowest concentration studied here (∼0.02 M), the
ratio of the rates along the monomer and dimer routes is 80−
90 on FAU and BEA and ∼150 on MFI. This ratio becomes
unity, that is, equal contributions by the monomer and dimer
routes, at ∼1.5−2.0 M of cyclohexanol. For the dehydration of
neat alcohol (9.6 M), this ratio would drop to 0.1−0.2,
showing the preponderance of the dimer route.
2
.3. Impact of Pore Constraints on the Rate
Constants and Activation Parameters. On the basis of
the proposed sequence of steps in Scheme 2, the following
expression for the TOFs (eq 1), is derived, which captures the
for olefin formation (detailed derivations in the SI):
2
r
k K [C H OH] + k K K [C H OH]
olefin
M
1
6
11
D
1
3
6 11
=
TOF =
+
2
[
H ]
1 + K [C H OH] + K K [C H OH]
0
1
6
11
1
3
6 11
(1)
in which the kinetic and thermodynamic constants carry the
meanings as indicated in Scheme 2: specifically, k and k are
M
D
the intrinsic rate constants for the monomer- and dimer-
elimination steps, respectively; K is the equilibrium constant
1
for alcohol monomer formation from the BAS and an alcohol
in the liquid phase; K is the equilibrium constant for alcohol
Using the same protocol, k and K were derived (k being
3
M
3
D
dimer formation from a H-bonded monomer at the BAS and
fixed to give the TOF of neat alcohol dehydration) from rate-
concentration data acquired at temperatures in the ranges
403−433 K for BEA and FAU and 413−443 K for MFI. Table
+
an alcohol in the liquid phase; [H ] is the total concentration
0
of BAS.
When the latter two terms in the denominator of eq 1
dominate, the dependence of the TOF on cyclohexanol
concentration is approximated by eq 2:
2
compiles enthalpies and entropies of activation obtained
from the Eyring plots of rate constants, k and k , as well as
M
D
free energies of activation calculated for the regressed intrinsic
rate constants on the three zeolites at 423 K. Interestingly,
activation enthalpies and entropies for monomer and dimer
dehydrations were comparable on the two large-pore zeolites,
FAU and BEA. MFI appears to be quite different, showing a
much lower activation enthalpy and a negative activation
entropy for the monomer route but a much higher activation
enthalpy and a positive activation entropy for the dimer route.
Conceptually, the negative entropy of activation for the
monomer route on MFI is an indication for an E2-elimination
path, which appears, at first sight, to contradict our foregoing
mechanistic analysis. We surmise that the observed label shifts
k + k K [C H OH]
M
D
3
6 11
TOF =
1
+ K [C H OH]
(2)
3
6 11
Consequently, the kinetic parameters for cyclohexanol
dehydration on the three zeolites in decalin were obtained
by fitting the kinetic data obtained at 413 K (Figure 2) to eq 2
(Table 1). To reduce the degrees of freedom in fitting the data
Table 1. Intrinsic Rate Constants (Normalized to the BAS
Concentration) for the Formation of Cyclohexene from
Cyclohexanol by Monomer- and Dimer-Mediated
2
Dehydration Routes and the Monomer-Dimer Equilibrium
on MFI ( H NMR; measured in an alcohol concentration
Constant over Zeolites FAU, BEA, and MFI in Decalin at
range of 0.25−2.0 M) may not reflect the intrinsic character-
istics of the monomer route and could be understood in terms
of readsorption, protonation, and hydride shifts before exiting
the pore. Adsorption of decalin (cross section: 0.70 × 0.52
nm) is significantly impeded in MFI, with its vapor-phase
saturation uptake accounting for only 10% of the micropore
volume, suggesting low diffusion rates of decalin and similarly
sized molecules in MFI pores (sinusoidal channels: 0.51 × 0.55
nm and straight channels: 0.53 × 0.56 nm). As a consequence,
van der Waals stabilizations provided by decalin are lacking for
the monomer route in MFI, unlike the other two large-pore
zeolites that allow decalin to coadsorb in the pore. In this case,
a stepwise pathway is hypothesized to be unfavorable on MFI
because of the lack of coadsorbed species that assist in the
stabilization of charged TS. For the aqueous-phase dehy-
dration, the pore is fully occupied by water and alcohol
molecules that are more effective in stabilizing charged
intermediates and transition states. Hence, an E1-type
mechanism was concluded to be dominating for the
a
4
13 K
zeolite
kM (s−1)
kD (s−1
)
k /k
K3 (M−1)
M
D
FAU
BEA
MFI
1.744 ± 0.107
1.010 ± 0.041
0.052 ± 0.004
0.058
0.023
0.006
30.0
43.9
8.7
18.6 ± 2.5
23.5 ± 1.9
2.9 ± 0.7
a
kM and kD are the intrinsic rate constants for the monomer- and
dimer-mediated dehydration pathways, respectively. In practice, kD
was always set to give the measured TOF of cyclohexene formation in
the neat phase (100% cyclohexanol, 9.6 M). K is the equilibrium
3
constant for alcohol dimer formation from a monomer and an alcohol
in the liquid phase.
as well as to increase the precision in fitted values for k and
M
K , k was constrained to values that reproduce the measured
3
D
TOF for cyclohexene formation in neat cyclohexanol
assuming a complete coverage by cyclohexanol dimers at
(
concentration of ∼9.6 M). The term [C H OH] refers to the
thermodynamic activity of alcohol rather than its concentration
in decalin (an extended discussion of this matter is presented
6
11
25,26
aqueous-phase dehydration of cyclohexanol on all zeolites.
2
883
ACS Catal. 2021, 11, 2879−2888