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INTRODUCTION
The ultimate goal of chemical kinetics is to unravel the mechanism of a chemical reaction and
to predict the rate of formation of desired and undesired products, both of which are essential
to maximize the energy efficiency and minimize the environmental impact of chemical processes.
Approximately 90% of all chemical processes worldwide (1) make use of catalysts, and there is a
pressing need for more efficient solid catalysts to allow sustainable production of fuels and bulk
chemicals. At present, catalyst development is dominated by experimental research and is focused
mainly on optimization of a given catalyst with respect to given criteria (2). The ability to predicthow the catalysts composition and structure, and hence its physicochemical properties, control
the rate of key steps in the catalytic mechanism is essential to come to a rational design of new
and more efficient catalysts.
Microkinetic models are uniquely suited to identify which (surface) species or surface reac-
tion paths control the observed product spectrum; thus, they provide a tool to define the process
conditions to obtain the maximum yield of the desired product (3). Moreover, microkinetic mod-
els have the unique ability to provide a unified, quantitative understanding of heterogeneously
catalyzed reactions by incorporating knowledge of a series of catalysts obtained from various sur-
face science techniques (46), experimental kinetic studies (7, 8), quantum chemical studies, and
statistical thermodynamics (918). Hence, they have the potential not only to incorporate (10,
11, 1922) but also to develop structure-activity relationships and/or identify catalyst descriptors,which makes them an ideal tool for in silico catalyst design (10, 11, 23). Therefore, kinetic studies
in heterogeneous catalysis now aim mainly to identify the detailed reaction mechanism, develop
an appropriate mathematical description of the influence of the reaction conditions and catalyst
properties on the elementary reaction rates, and determine the unknown parameters in the rate
expressions. Kinetic analysis of the reaction network then allows us to identify which elementary
steps control the reaction rates (2428), how their rates are affected by the reaction conditions,
and the catalyst properties, all of which are crucial to provide guidelines for the design of bet-
ter catalysts (29). To obtain the necessary information and/or to validate rate coefficients and
mechanisms obtained from quantum chemical calculations, steady-state and non-steady-state or
transient kinetic experiments can be used (24).
We begin with a brief survey of the necessary requirements to extract model-free intrinsic re-action rates from dedicated experiments. Comparison of experimentally observed rates with those
obtained based on quantum chemical calculations is often biased by overlooking these necessary
requirements. Next, we illustrate the potential of microkinetic modeling for catalyst design for
three complex acid zeolitecatalyzed reactions taken from our work. Zeolites are microporous,
crystalline, inorganic oxides that are widely used as solid Brnsted acid catalysts in a variety of
chemical processes for the production of fuels, energy carriers, and bulk and fine chemicals. The
catalytic properties of zeolites are related mainly to their structural and compositional character-
istics, such as pore opening, channel and void dimensions, and Si/Al ratio. Typically, zeolites are
excellent catalysts owing to their high surface area, high adsorption capacity, and well-defined
micropores that can induce shape selectivity (3037). Historically, the emphasis on the size and
shape of zeolite voids and their connecting apertures in explaining shape selectivity has led tothe development of zeolite descriptors based on reactions of molecules of different sizes, such
as the constraint index (38) and the spaciousness index (39). These methods provide an indi-
rect assessment of zeolite activity when it is controlled by molecular transport or size exclusion.
Although these methods allow us to screen the immense diversity of shape, size, and connectiv-
ity of voids and pores in hypothetical (106 in number) (4042) and known (102 in number)
(http://www.iza-structure.org/databases/) zeolites, they do not provide insight into how the
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physicochemical properties of the zeolite, such as acid strength and solvation ability of confining
voids, influence zeolite reactivity and selectivity (43). Given that only approximately ten families of
zeolites are commonly applied in industrial processes (44), there is a clear need for a more rational
design of zeolite materials with desired properties for a targeted catalytic reaction. Three different
but complementary approaches for kinetic analysis of zeolite-catalyzed reactions are presented to
illustrate their ability to provide physicochemical insight into the influence of zeolite properties on
the observed product yields under working conditions. We conclude by identifying challenges for
future research that should help to further advance the rational design of heterogeneous catalystsin general and of zeolites in particular.
KINETIC EXPERIMENTS
Experimental Requirements
Usually, experimental kinetic studies are performed in laboratory-scale stirred tank reactors
(STRs) or plug flow reactors (PFRs). Product yields of heterogeneously catalyzed processes per-
formed in these types of reactor not only depend on the rate of the chemical reactions but also
are influenced by physical transport phenomena, such as heat and mass exchange between the
catalyst and the fluid phase (so-called external heat and mass transfer) and heat and mass transportwithin the catalyst pellet, so-called internal transport. To extract intrinsic kinetic information
(i.e., kinetic data that pertain to the chemical reactions only), the typical strategy in experimental
kinetic studies is to eliminate the effects of mass and heat transport as much as possible. Ideally,
the kinetic experiment must fulfill two requirements: isothermicity and uniformity of chemical
composition. In dedicated laboratory setups, this can be accomplished by, for example, diluting
the reactive medium by using special mixing devices, either internally (impellers) or externally by
recirculation. Several experimental and theoretical (4548) diagnostic tools are available to iden-
tify the range of reaction conditions and catalyst particle diameters that allow us to ensure that
in a given reactor configuration the influence of inter- and intraparticle transport on the reaction
rates is eliminated. In so-called intrinsic kinetic studies, these requirements are fulfilled. In the
case of irreducible transport phenomena, the transport regime in the reactor must be well defined,
and its mathematical description must be reliable (24). Failure to comply with these experimental
requirements inevitably produces kinetic data that are biased by ill-defined transport phenomena.
This leads to biased values of fitted rate coefficients and to misleading conclusions when compar-
ing experimentally determined turnover frequencies and/or rate-controlling steps from different
literature sources or with those obtained from ab initiobased kinetic model simulation.
Obtaining Model-Free Kinetic Data
Importantly, in kinetic experiments, the reaction rate can seldom be measured directly. The
experimentally determined characteristic in most experimental kinetic studies is the net rate of
production of a component, Ri, which can be defined as a linear combination of the rates of allthe elementary steps,rj, in which the component is consumed or formed. The coefficients in this
linear combination are the components stoichiometric coefficients, ij, in each of the steps:
Ri=
j
i jrj. 1.
Both continuously stirred tank reactors (CSTRs) and PFRs are used frequently to obtain steady-
state kineticinformation. Steady-state kinetic data areusually related to the rate-controlling step(s)
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STEADY-STATE ISOTOPIC TRANSIENT KINETIC ANALYSIS
Steady-State Isotopic Transient Kinetic Analysis (SSITKA) is based on the determination of isotopic labels of a
component in the reactor effluent versus time following a stepwise change in the isotopic labeling of one of the
reactants in the reactor feed. SSITKA can be used to determine the amount and rate of formation of surface species;
in other words, it allows us to characterize the steady state of the catalyst surface under working conditions.
of a complexcatalytic reaction. To obtainkinetic information on theindividual elementary reaction
steps, non-steady-state experiments are required.
Ideally, kinetic information should be obtained in a model-free manner, which means that
during the experimental procedure and the subsequent data processing no bias is introduced
by making assumptions about, for example, the reaction mechanism, the kinetic model, or the
reactor model. Some techniques, such as a combination of CSTR or PFR with isotopic step-
response experiments, allow the model-free determination of formation rates by Steady-State
Isotopic Transient Kinetic Analysis (SSITKA) (49) (see sidebar, Steady-State Isotopic Transient
Kinetic Analysis).
Non-steady-state kinetic data can also be based on the technique of Temporal Analysis of
Product (TAP) (24, 50, 51). The earlier three- and one-zone configurations of the TAP reactor
could not provide model-free kinetic information. In contrast, the Y-procedure (52), a new theo-
retical method for the thin-zone TAP reactor, enables values of reaction rates and, hence, kinetic
coefficients to be obtained from exit flow rates without any assumptions regarding the detailed
kinetic model (see sidebar, Temporal Analysis of Products).
CSTR andPFR experiments areperformedat temperaturesand pressures relevant forindustrial
conditions. For highly exothermic reactions, CSTRs are usually operated at low conversions to
ensure isothermicity. The TAP system can be used in a wide domain of operation conditions;
however, to ensure the Knudsen diffusion regime (i.e., a well-defined transport regime that can
be reliably described mathematically), the preferred window of pressures ranges from 102 to
101 Pa. The latter pressure is the upper boundary of the surface science domain; hence, TAP
experiments provide a bridge between surface science and more traditional applied kinetics.
KINETIC ANALYSIS OF COMPLEX ACIDZEOLITECATALYZED REACTIONS
Three different but complementary approaches for the kinetic analysis of complex acid zeolite
catalyzed reaction networks are presented. All three approaches aim to obtain a quantitative
TEMPORAL ANALYSIS OF PRODUCTS
The main idea of Temporal Analysis of Products (TAP) is to inject a series of narrow gas pulses into one end of a
microreactor and continuously evacuate the other end. The intensity of each pulse is small relative to the amountof catalyst used to ensure that the surface state of the catalyst is not significantly perturbed by each pulse and that
the Knudsen diffusion regime is guaranteed. The change in the composition of the pulsed mixture is monitored
by a precise mass-spectroscopic technique. Upon applying a large series of such narrow pulses, the surface state of
the catalyst can be changed significantly in a controlled manner. Thus, a sequence of infinitesimal steps is used to
produce a finite change of the catalyst activity; hence, the technique can also be named chemical calculus.
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BOTTOM-UP APPROACH TO KINETIC ANALYSIS
In the Bottom-Up Approach to kinetic analysis, a detailed analysis of the observed product distribution ove
a broad range of reaction conditions is complemented with kinetic fingerprinting and reaction path analysis to
resolve the so-called minimal reaction network. Subsequently, thermodynamic-consistent Langmuir-Hinshelwood
Hougen-Watson-type rate equations are constructed that contain both kinetic and catalyst descriptors. The catalys
descriptors that reflect the effect of the catalyst on the stability of intermediates and transition states are identifiedbased on a kinetic analysis of the experimental observations and enable a physicochemical interpretation of th
influence of the catalyst properties.
understanding of the influence of the zeolite properties, such as Si/Al ratio (i.e., number and
strength of acid sites) and framework structure, on its catalytic behavior under working conditions.
The liquid-phase alkylation of benzene with 1-octene over a series of Y zeolites (22, 53) ex-
emplifies the Bottom-Up Approach (see sidebar, Bottom-Up Approach to Kinetic Analysis). Al-
ternatively, in the Top-Down Approach, insight into the chemistry of the catalytic process is
translated into chemical rules that are implemented as algorithms in computer codes, allowing us
to generate detailed reaction networks consisting of several thousands of elementary steps (27, 28,5456). This approach is illustrated for the catalytic cracking of hydrocarbons over a series of Y
and ZSM-5 zeolites (21, 57, 58) (see sidebar, Top-Down Approach to Kinetic Analysis).
In the third approach, molecular modeling is used to construct a minimal reaction network
for ethanol dehydration to ethylene over H-FAU, H-MOR, H-ZSM-5, and H-ZSM-22 together
with their corresponding kinetic coefficients (59, 60). Comparing simulated and experimentally
observed product yields over a broad range of reaction conditions then allows us to identify
important elementary steps that are missing from the network and/or must be found/calculated
more accurately by, for example, molecular dynamics.
Bottom-Up Approach: Liquid-Phase Alkylation of Benzene with 1-Octene
Alkylation of benzene with linear long-chain alkenes is used to synthesize linear alkyl benzenes
(LABs) as building blocks for the production of detergents. Conventional processes are based on
highly corrosive acid catalysts, such as aluminum trichloride and hydrofluoric acid (61). Therefore,
an efficient, recyclable, and environmentally friendly solid-acid catalyst is highly desired (62
64). Among various zeolites tested, Y zeolites have been shown to be suitable catalysts for the
alkylation of benzene with long-chain olefins because they combine two important features: strong
TOP-DOWN APPROACH TO KINETIC ANALYSIS
In the Top-Down Approach to kinetic analysis, a detailed reaction network is automatically generated a priori base
on so-called reaction rules. The advantage of this approach is that all surface intermediates are explicitly accounte
for and no a priori reaction pathways are assumed. Databases, based either on experiment or on quantum chemica
calculations for model components, provide values for kinetic descriptors. If unavailable, estimates of kinetic and/o
catalyst descriptors can be obtained by regression of experimental data. Numerical integration or kinetic Mont
Carlo simulations then allow us to evaluate the relative importance of various reaction paths and the effect of catalys
properties on the product yields and to define optimal values for catalyst descriptors.
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Table 1 Properties of the Y zeolites used in the liquid-phase alkylation of benzene with 1-octene
CBV712 CBV720 CBV760
Bulk Si/Al ratio 6 13 30
Framework Si/Al ratio 21.2 26.2 75.8
Acid site concentration (mol kg1) 0.69 0.62 0.24
Al (IV) concentration (mol kg1) 0.75 0.61 0.22
BET surface area (m2 g1) 730 780 720
Micropore volume (cm3 g1) 0.25 0.27 0.25
Mesopore volume (cm3 g1) 0.15 0.16
Unit cell size, ao(nm) 24.36 24.34 24.25
Total Al per unit cell 28.2 13.7 6.2
Framework Al per unit cell 8.6 7.1 2.5
acidic character and the ability to accommodate large molecules, such as alkylbenzenes, inside
their pores (65, 66). De Almeida et al. (65) reported that the selectivity to 2-phenyldodecane
increased with increasing acid strength in the alkylation of benzene with 1-dodecene over Y
zeolites performed in a batch-slurry reactor. However, Y zeolites are prone to deactivation, and
operation in batch mode does not allow us to exclude the influence of coke deposition on theproduct distribution. Hence, Cruciun et al. (53) studied, as a model reaction, the liquid-phase
alkylation of benzene with 1-octene over three commercial Y zeolites with bulk Si/Al ratios of 6,
13, and 30 (seeTable 1) in a Robinson-Mahoney reactor operating in a continuous-flow (CSTR)
mode. This allowed extrapolation to zero time-on-stream and thus enabled evaluation of the
influence of reaction conditions and acid properties on activity and selectivity in the absence of
deactivation. Temperatures ranged from 343 K to 373 K, benzene/1-octene feed molar ratios
ranged from 1 to 10, and 1-octene conversions were between 10% and 99%.
Definition of the minimal reaction network: kinetic fingerprinting and reaction path anal-
ysis. Representative profiles of conversion versus site time (molH+mol1-octene1
s) and selectivityversus 1-octene conversion are shown in Figure 1. Clearly, the catalytic activity per acid site
increases with increasing Si/Al ratio, indicating that the acid strength is important in determining
the reactivity, whereas the selectivities are not affected. Also, for all catalysts, the experimental
data indicate that product selectivities are not influenced by temperature.
Two main groups of components were obtained as reaction products: octene isomers
(2-octene, 3-octene, and 4-octene) and phenyloctanes (2-phenyloctane, 3-phenyloctane, and 4-
phenyloctane). Traces of di-alkylated benzenes were observed at low benzene-to-1-octene molar
feed ratios only. Branched octene isomers were not observed, indicating that the octene isomers
result from double-bond migration. As illustrated in Figure 2, kinetic fingerprinting using the
delplot technique (67) revealed that, when the feed consists of only 1-octene and benzene, 2-octene
and 2-phenyloctane are the only primary products, whereas 3-octene and 3-phenyloctane are sec-
ondary products and 4-octene and 4-phenyloctane are tertiary products. Hence, intramolecular
hydride shifts could be discarded as elementary steps in the reaction network because their occur-
rence would allow for the formation of all the reaction products as primary products. Therefore,
we can conclude that the formation of octene isomers occurs through a sequence of consecutive
protonation-deprotonation steps. Intermolecular hydride shift reactions could be eliminated as
well from the minimal reaction network because octane, octadienes, and components derived from
them are not observed under the mild conditions investigated.
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00
20
20
40
40
60
60
80
CBV712 6
CBV720 13
CBV760 30
Si/Al
80
100
100
0 20 40 60 80 100
1-Octeneconversion(%)
NH+/Fo,1-oct(s)
0
20
40
60
80
100
Selectiv
ity(%)
Selectivity(%)
1-Octene conversion (%)
0 20 40 60 80 100
1-Octene conversion (%)
0
10
20
30
40
2-Phenyloctane
3-Phenyloctane
2-Octene
3-Octene
4-Octene Phenyloctane4-Phenyloctane
a
b c
Figure 1
(a) Conversion of 1-octene as a function of site time and ( b) octene isomer distribution and (c) phenyloctaneisomer distribution as a function of conversion over three Y zeolite catalysts at 373 K and a benzene/1-octenefeed molar ratio of 5. Experimental points and model simulations ( lines) shown (adapted from Reference 53).
Figure 2a,balso illustrates that, although double-bond isomerization is faster compared with
benzene alkylation, the internal equilibrium distribution of the octenes is not reached. Conse-
quently, the double-bond isomerization and the alkylation take place on a comparable timescale;
hence, the two processes must be described as occurring simultaneously rather than as two con-
secutive, decoupled processes.
From the high values of the equilibrium coefficients (K= 109M1) for the formation of
phenyloctanes from benzene and octenes, we can conclude that the alkylation is practically
irreversible at the experimental conditions investigated. Hence, the minimal reaction network
shown inFigure 3could be presented for the alkylation of benzene with octenes over Y zeolites.
The underlying mechanism is of the EleyRideal type, with benzene reacting from the liquid
phase and olefins reacting as adsorbed species on the surface of the catalyst. EleyRideal-type
mechanisms have been proposed previously for the alkylation of benzene over large pore zeolites,
such as Y and beta (68, 69). Also, preliminary isothermal model discrimination allowed us to
eliminate models considering benzene adsorption (22).
Although the nature of the protonated hydrocarbon species in zeolite catalyststhat is, whether
they are carbenium ions or alkoxidesis the subject of ongoing investigation (7074), the mech-
anism is formulated based on carbenium ion chemistry that is assumed to occur on the catalyst
surface because the expressions for the rate equations of the elementary steps do not depend on
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0
20
40
60
80
100
Selectivity(%)
2-Octene
3-Octene
4-Octene
2-Octene
3-Octene
4-Octene
2-Phenyloctane
3-Phenyloctane
4-Phenyloctane
2-Phenyloctane
3-Phenyloctane
4-Phenyloctane
0
5
10
15
20
25
Selectivity(%)
0
0.5
1
1.5
2
2.5
0 20 40 60 80 100
1-Octene conversion (%)
Select
ivity/conversion
0
0.05
0.1
0.15
0.2
0.25
0 20 40 60 80 100
1-Octene conversion (%)
Select
ivity/conversion
0 20 40 60 80 100
1-Octene conversion (%)
0 20 40 60 80 100
1-Octene conversion (%)
Figure 2
First-order (top) and second-order (bottom) delplot method charts for octene isomers ( left) and phenyloctanes(right) for data over CBV760 at 343 K and benzene-1-octene molar feed ratio of 5. Markers indicateexperimental data, and solid lines are added to guide the eye. Dotted lines correspond to theoreticalselectivities calculated for equilibrium between octene isomers, respectively, between 2-, 3-, and4-phenyloctane isomers (adapted from Reference 53).
the nature of the intermediates involved, and hence, the kinetic model is independent of the nature
of the reactive intermediates.
Kinetic analysis: definition of catalyst descriptors. Asexplainedinearlierwork(53),theratioof
the initial selectivities (i.e., in the limit of zero 1-octene conversion) of 2-octene to 2-phenyloctane
is related to the ratio of the rate coefficient for the deprotonation step leading to the formation of
2-octene to the rate coefficient for alkylation leading to 2-phenyloctane ( Scheme 1).
Considering the benzene concentrations used in the kinetic experiments, the observed higher
initial selectivity for 2-octene as compared with that for 2-phenyloctane indicates that the rate
coefficient for deprotonation is higher than the rate coefficient for alkylation. Because the selec-
tivity of the primary products, 2-octene and 2-phenyloctane, is independent of temperature, we
can conclude that the activation energy for the deprotonation step leading to 2-octene is similar
to that for the alkylation step leading to 2-phenyloctane, as illustrated in the enthalpy diagram in
Figure 4, and that entropy favors double-bond isomerization over alkylation.
A change in acid strength can lead to a change in the protonation enthalpy of the olefins and the
phenyloctanes. Because Hiso(liq)between the olefins is independent of the catalyst, it follows from
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+ + +
+++
+ H+ + H+ + H+
+
H+
+
H+
+
H+
+
H+
+
+
+
1
7 8 9
2 3 4 5 6
10 11 12
Figure 3
Reaction network of elementary steps for the alkylation of benzene with octenes over ultrastable Y zeolites (22).
thermodynamic considerations that the effect of the catalyst on the protonation of the octenes canbe captured by the introduction of a single cat(Hpr,O), where catpresents a change in going
from one catalyst to another. Hence,cat(Hpr,O) can be seen as an average measure of the effect
of the catalyst on the stability of the intermediate octyl carbenium ions.
Also, activation energies of the elementary steps could be affected by a change in catalyst.
However, the observation that product selectivities are not affected by the catalyst indicates that
the effect on the activation energies for deprotonation and alkylation is similar; in other words,
catEa,al k = catEa,depr,O, 2.
indicating that the stability of all transition states (smaller ones for protonation/deprotonation
and larger ones for alkylation) are influenced to the same extent by the zeolite. By applying the
EvansPolanyi principle (75), the change in activation energy of the alkylation step can be relatedto the enthalpy change of the surface alkylation step, catHalk, as follows:
catEa,al k = al k catH al k. 3.
Given thatHr(liq) is independent of the catalyst, thermodynamic considerations allow us to
expresscatHalkas
catHal k = catHp r,Ph e O catHpr,O. 4.
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+
+
+
kpr,0
kdepr,1
kdepr,2
kalk
kpr,0
H+
+ H+
+
H+R 0
2PO
kalkKpr,0CtC0
1octC0
b
1 + Kiso, I+ Kpr,0C0
1oct+ Kpr,0C0
b
=kalkkpr
R 02O
kdepr,2
Kpr,0
CtC0
1oct
1 + Kiso,I+ Kpr,0C0
1oct+ Kpr,0C0
b
=kalkkpr
S 02PO
S 02O
kalkC0
b
kdepr,2=
Scheme 1
Initial reaction scheme and initial rate equations.
Because the transition states for deprotonation and alkylation are similarly influenced by the
catalyst, the extent to which the intermediate phenyloctane arenium ions are influenced likely is
the same as that for the octyl carbenium ions; in other words, it can be assumed that
catHpr,PheO= catHpr,O = catHpr. 5.
Enthalpy
Reaction coordinate
Ea,pr
Hpr,O
Ea,alk
Ea,de-pr,2
2C+8ads
2C=8
Ea,alk Ea,de pr,2
2PhO
2PhO+ads
1C=8
Hpr,PO
Hr
Figure 4
Energy diagram for the alkylation of benzene with octenes over a Y zeolite.
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0.250.1
0.08
0.06
0.04
0.02
0
20
1
3
5
740
6080
100
Total C+8 2-C+8
0.2
0.15
Fractionalcoverage()
Acidityd
ifferenc
e(kJ/m
ol)Sitetime(s)
0.1
0.05
0
a0.15
0.1
0.08
0.06
0.04
0.02
0
20
1
3
5
740
6080
100
0.12
0.09
Fractionalcoverage()
Acidityd
ifferenc
e(kJ/m
ol)Sitetime(s)
0.06
0.03
0
b
0.080.1
0.08
0.06
0.04
0.02
0
20
1
3
5
740
6080
100
3-C +8 4-C+8
0.06
0.04
Fractionalcoverage()
Acidityd
ifferenc
e(kJ/m
ol)Sitetime(s)
0.02
0
c0.08
0.1
0.08
0.06
0.04
0.02
0
20
1
3
5
740
6080
100
0.06
0.04
Fractionalcoverage()
Acidityd
ifferenc
e(kJ/m
ol)Sitetime(s)
0.02
0
d
Figure 6
Model prediction for acid site coverage at 373 K and feed benzeneto-1-octene ratio of 5:1 as a function of the acid strengthrelatedparameter,Hpr, and the variation of the coverage with the site time: (a) total octyl carbenium ion coverages, (b) 2-octyl cationcoverages, (c) 3-octyl cation coverages, and (d) 4-octyl cation coverages (22).
and to 26 kJ mol1 for CBV712. Thus, on CBV760, the protonation steps occur more easily
than on the other two Y zeolites. This results in a higher coverage of octyl carbenium ions on the
surface of CBV760, which in turn leads to higher alkylation rates. The fractional site coverage of
the various octyl carbenium ions, for different values ofcatHpr, is illustrated inFigure 6as a
function of site time.
Physicochemical significance ofcatHpr. To interpret the physicochemical significance of
catHprin terms of zeolite properties, the thermodynamic cycle presented in Figure 7 is fre-
quently used (43, 7981) because the protonation enthalpy of, for example, an octene can then be
expressed asHpr= DPE+PAo l e f + Es ta b , 10
withDPE(deprotonation energy of the zeolite) defined as the energy required to remove a proton
from the solid acid (increases for weaker acids), implying that acid strength differences reflect
differences in stability between the protonated zeolites (ZO-H) and their conjugate bases (ZO).
In general, acidityincreases withincreasing polarity of theZO-H bond andwith increasing stability
of the conjugate base (i.e., with increasing ability of the conjugate base to accept and delocalize
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H
H+
+
+
Hprot
PA1-octene
Estab
DPE
AlSi Si
O O
AlSi Si
O O
AlSi Si
O O
AlSi Si
O O
Figure 7
Thermodynamic cycle explaining the contribution of the zeolite deprotonation energy (DPE), the alkeneproton affinity, and the stabilization energy (Estab) owing to confinement of the free-gas-phase carbenium ionin the zeolite to the protonation enthalpy of the olefin.
the negative charge).PAo l e f is the proton affinity of the olefin, andEs ta bis the stabilization energy
owing to confinement of the free-gas-phase octyl carbenium ion in the zeolite. The extent to
which guest molecules are solvated by confinement in the zeolite frame depends on one hand on
the structure and composition of the zeolite and on the other hand on the size, shape, functional
groups, and charge of the guest molecule. These factors determine the number and nature of host-
guest interactions, such as, for instance, the weak induced-dipole interactions between alkanes and
the Brnsted acid site (43, 82, 83), H-bonding interactions between the hydrogen of the hydroxyl
group in alcohols and framework oxygens (84, 85), long-range electrostatic interaction between
charged species and the zeolite conjugate base, and van der Waals interactions (8486). Attractive
van der Waals interactions between the zeolite framework atoms and polarizable electron clouds
of the guest molecule typically increase when the confining space becomes smaller, up to the pointwhere Pauli repulsion takes over and the interaction becomes repulsive (i.e., sterical hindrance
comes into play). In general, Estabcan be decomposed into a long-range electrostatic interaction
energy,Eelec, and stabilizing van der Waals interactions, EvdW. Similar equations can be written
for the protonation of the phenyloctanes and also for the activation energies.
Hence,catHprcan be rewritten as
c atHpr= c atDPE+c atEs ta b = c atDPE+c atEelec+c atEvd W, 11.
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because the proton affinity of the olefin is independent of the catalyst and cancels out. catDPE
represents the difference in acid strength between two zeolites, whereascatEstab represents the
difference in solvation ability of the considered confined species between the two zeolites. Clearly
these two factors can contribute to the value ofcatHpr. Recently, it was suggested that the
main factor responsible for activity differences between dealuminated Y zeolites is differences in
solvation ability, catEstab, whereas differences in the Brnsted acid strength would play only a
minor role (43, 80). Thus, activity differences among dealuminated Y zeolites were attributed to
changes in the effective size of the supercages owing to the presence of varying amounts of extraframework alumina. An increase in activity over dealuminated Y zeolites would then be related to
increased van der Waals interaction in supercages with smaller void space. If so, then the effect
of a change in catalyst is expected to be more pronounced on the more bulky confined hydro-
carbon species. However, as discussed above, in benzene alkylation, experimental observations
indicate that intermediates and transition states, which strongly differ in size and shape, are all
affected to the same extent in going from one Y zeolite to the other. Hence, for a given confined
hydrocarbon species, differences in van der Waals interactions with the large supercages of the
Y zeolites can be neglected; in other words, for a given intermediate, catEvdW =0. Given that
the charge on the intermediates (i.e., octyl carbenium ions and protonated phenyloctanes) is not
expected to change significantly in going from one Y zeolite to the other, Eelecis not expected to
change significantly for a given hydrocarbon species; in other words, for a given intermediate,catEelec= 0. Our analysis thus indicates that activity differences in benzene alkylation are mainly
related to acidity differences between the Y zeolites, in agreement with recent theoretical (87, 88)
and experimental studies on protolytic and catalytic cracking (89) and previous work on hydro-
cracking (20, 23).
Whether the physical origin ofcatHpris related to a change in acid strength, to a change in
van der Waals interactions, or to a combination of both factors is of less importance if the interest
remains restricted to modeling the effect of the catalyst on the product yields because both factors
are captured by the same catalyst descriptor. However, to suggest targets for synthesis strategies
that would enable us to tune the zeolite properties, a clear distinction between these two factors
is needed. This requires first-principles methods that enable us to assess the contribution of
dispersive interactions to the thermodynamics of adsorbed species and transition states in zeolites
Top-Down Approach: Catalytic Cracking of Hydrocarbons
Catalytic cracking of hydrocarbons over a solid acid catalyst is one of the most important oil
refining processes, and high-performance catalysts are needed to ensure optimal use of feed and
energy resources. In fluid catalytic cracking (FCC), dealuminated Y zeolites and H-ZSM-5 are
mainly used as catalysts.
Although catalytic cracking of hydrocarbons proceeds via a complex reaction mechanism, the
thousands of reactions that occur can be grouped into a limited number of elementary reaction
families, including protolytic scission, (de)protonation, -scission/alkylation, hydride transfer,
and isomerization reaction steps. Hence, a kinetic analysis based on the automated generation of
a detailed reaction network is ideally suited to evaluate the influence of reaction conditions and
catalyst properties on the product yields.
Detailed reaction network generation. Various algorithms and techniques are in use for the
automated generation of complex chemistries, and several excellent reviews on the topic are avail-
able (27, 28, 5456). We used a computer algorithm in which species are represented by vec-
tors and reactions are implemented as operations on Boolean relation matrices (90, 91). Specific
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Table 2 Summary of the detailed generated reaction network for catalytic cracking of
2,2,4-trimethylpentane
Hydrocarbon species Elementary reaction steps
35 Alkanes 179 Protolytic scissions
78 Hydride transfers
94 Alkenes 137 Protonations
102 Carbenium ions 88 Hydride shifts
36 Methyl shifts
193 PCP-isomerizations
21 -Scissions
6 Alkylations
161 Deprotonations
231 Total 899 Total
reaction rules for each elementary reaction family are defined; hence, all possible reaction path-
ways, intermediates, and products are generated starting from a specified feed molecule. Known
kinetic coefficients can be provided from databases based on kinetic experiments or on quantum
chemical calculations for model components. Missing kinetic and/or catalyst descriptors can be fit-
ted to kineticexperimentsusing model molecules.A summary of theresultingdetailed reaction net-
work for 2,2,4-trimethylpentane is given inTable 2 to illustrate that even during cracking of a sin-
gle molecule a huge number of elementary reactions occur simultaneously: In total, 899 reactions
consisting of 179 protolytic scissions, 78 hydride transfers, 137 protonations, 88 hydride transfers,
36 methyl shifts, 193 PCP-isomerizations, 21 -scissions, 6 alkylations, and 161 deprotonations
between 231 species consisting of 35 alkanes, 94 alkenes, and 102 alkylcarbenium ions occur (21).
Kinetic and catalyst descriptors. The effect of the catalyst properties on the product yields was
evaluated for the cracking of two model hydrocarbons, 2,2,4-trimethylpentane (57) and methylcy-
clohexane (58), over a series of commercially available Y and MFI zeolites with varying Si/Al ratios.The properties of the catalysts used and the experimental conditions investigated are provided in
Supplemental Tables 2and3. Dedicated kinetic experiments were performed in a reactor that
operates gradientlessly at high conversion because of the use of external recirculation (92).
Representative profiles of conversion versus site time (molH+ mol1-octene1 s) and selectivity
versus conversion are shown in Figures 8 and 9. At equal conditions, the site time yields obtained
when cracking 2,2,4-trimethylpentane over the MFIs are a factor 34 lower than over the FAUs,
whereas for methylcyclohexane the site time yields are similar, showing that the lower activity
displayed by MFI for cracking of 2,2,4-trimethylpentaneresults fromreactant diffusionlimitations.
As illustrated inFigure 9, a unique relationship was found between the product selectivities
and conversion within a given framework type, independent of the Si/Al ratio of the zeolite.
This is valid for FAU as well as for MFI and for methylcyclohexane cracking as well as for
2,2,4-trimethylpentane cracking. Changing the framework alters the product selectivity versus
conversion profile owing to shape selectivity.
The main reaction route on FAU in 2,2,4-trimethylpentane cracking was found to be hydride
transfer followed by-scission leading to mainly C4 species, whereas on MFI protolytic scission
it is responsible for the formation of high amounts of C1C3 species, pointing toward the occur-
rence of transition-state shape selectivity hampering the bimolecular hydride transfer reaction.
Reactant shape selectivity can be ruled out because the kinetic diameter of 2,2,4-trimethylpentane
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80
60
40
20
00 50 100 150 200
C
onversion[mol%]
Site time [mol H+s mol1]
80
60
40
20
00 50 100 150 200
C
onversion[mol%]
Site time [mol H+s mol1]
80
60
40
20
00 25 50 75 100
C
onversion[mol%]
Site time [mol H+s mol1]
80
60
40
20
00 20 40 60 80
C
onversion[mol%]
Site time [mol H+s mol1]
a i-Octane b Methylcyclohexane
CBV500
CBV720
CBV760
LZ-Y20
Y62
CBV3020E
CBV5524G
CBV8014
Figure 8
Conversion of (a) i-octane and (b) methylcyclohexane on five FAU zeolites (top) and three MFI zeolites (bottom) as a function of the sitetime at 748 K and 7 kPa partial pressure. Solid lines represent trend lines obtained by fitting the data series to a logarithmic curve(adapted from References 57 and 58).
is 0.62 nm (93), whereas the effective catalytic pore size of MFI at 573 K lies between 0.662
and 0.727 nm and increases to 0.764 nm at 643 K (94). In methylcyclohexane cracking on FAU,
methylcyclohexane isomerization, followed by ring opening and subsequent cracking, is the main
reaction pathway, whereas on MFI, protolytic scission followed by cracking is predominant,
indicating that here too the bimolecular hydride transfer reaction is hampered and transition-state
shape selectivity is operative.
So far, only a fewkinetic models that explicitly account for the effect of the catalyst acidityon the
product yields have been reported (95107). To the best of our knowledge, only one microkinetic
modeling study accounting for the effect of transition-state shape selectivity in hydroconversion
ofn-octane on the Pt-H-ZSM-22 zeolite has been reported (108).
We have used the single-event microkinetic modeling approach (20, 23) to describe the con-
version of the hydrocarbons based on carbenium ion chemistry that is assumed to occur on the
catalyst surface (see sidebar, Single-Event Microkinetic Modeling Approach).
To account for the effect of variations in acidity on the observed catalytic behavior, a change
in protonation enthalpy, catHpr, referenced to LZ-Y20 is sufficient because the absence of
selectivity differences when cracking alkanes or cycloalkanes on FAU or MFIzeolites indicates that
each reaction pathway is affected in the same way by a change in acid strength; in other words, all
transition states and surface intermediates are affected to the same extent. This results in a change
in activation energy of the so-called initiation reactions (i.e., protonation and protolytic scission),
whereas the activation energies of the surface reactions and deprotonations remain unaffected by
the zeolite acid strength. A variation in protonation enthalpy of 29 kJ mol1 was found for the
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SINGLE-EVENT MICROKINETIC MODELING APPROACH
In the single-event microkinetic modeling approach, the global symmetry numbers of the reactant and transition
state are factored out from the rate coefficient and calculated from statistical thermodynamics, leading to th
so-called single-event rate coefficient, k:
k =react gl
gl
k,
in which react gl and
glare the global symmetry numbers of the reactant and the transition state, respectively
The single-event rate coefficient, k, is assumed to depend only on the reaction family and the type of carbenium
ions (primary, secondary, or tertiary) involved. These assumptions allow for a drastic reduction in the number o
adjustable parameters to be fitted to the experimental data.
five faujasites (21), whereas for the three MFI zeolites, a variation in protonation enthalpy of 10 kJ
mol1 was found (109).
To describe the effect of transition-state shape selectivity on the rates of hydride transfer of
gas-phase alkanes and cycloalkanes when cracking methylcyclohexane on MFI, it was sufficient to
40
30
20
MFI
MFI
MFI
MFI
FAU
FAU FAU
MFI
FAU
FAU
10
0
Selectivity[mol%]
0 20 40 60 80
Conversion [mol%]
CBV500
CBV720
CBV760
LZ-Y20
Y62
CBV3020E
CBV5524G
CBV8014
60
45
30
15
0
Selectivity[mol%]
0 20 40 60 80
Conversion [mol%]
80
60
40
20
0
Selectivity[mol%]
0 20 40 60 80
Conversion [mol%]
50
30
40
20
10
0
Selectivity[mol%]
0 20 40 60 80
Conversion [mol%]
a Ethylene b Propane
c Propylene d Isobutane
Figure 9
Representative product selectivities as a function of methylcyclohexane conversion on five FAU zeolites and three MFI zeolites at748 K and 7 kPa partial pressure. The solid lines represent trend lines obtained by fitting all FAU and MFI data to a second-orderpolynomial curve (adapted from References 57 and 58).
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PROTOLYTIC CRACKING
Protolytic cracking is a monomolecular reaction and involves proton transfer from the zeolite to a C-C or C-H
of a physisorbed alkane. Assuming equilibrium for the physisorption step, the relationship between the observed
cracking rate, the intrinsic protolytic cracking rate coefficient, and the physisorption enthalpy and entropy can be
expressed as
r= kKph ysp i
and
r= Aexp
EaRT
e xp
S0ph ys
R
e xp
H0ph ys
R
p i.
This leads to
Ecomp =Ea +H0ph ys
and
Acomp = A+
S0ph ys
R
for the composite activation energy,Ecomp, and the composite preexponential factor,Acomp.
introduce a single shape-selectivity descriptor in the model:
Ea,MFI,ht f =Ea,FAU,ht f+c atEa,h f t. 12
On MFI, an increase in activation energy of hydride transfer of 10 kJ mol1 relative to FAU
was found (109), reflecting that in MFI, Pauli repulsion comes into play; in other words, sterical
hindrance between the hydride transfer transition state and the zeolite wall becomes important in
the smaller MFI voids. The entropic contributions were assumed to be similar for both frameworktypes. Narasimhan et al. (108) also reported that the effect of shape selectivity in ZSM-22 can be
captured by a change in activation energy only.
However, Bhan et al. (110) recently emphasized the important role of the activation entropy
in protolytic cracking of alkanes in zeolites (see sidebar, Protolytic Cracking).
Earlier studies on protolytic cracking reported a similar intrinsic activation energy for pro-
tolytic scission on all zeolites, and observed differences in catalytic activity were explained by
differences in physisorption enthalpies between zeolites. Bhan et al. (110) pointed out that at typi-
cal protolytic cracking conditions, differences in physisorption enthalpies alone cannot account for
the observed differences in activity and selectivity among different zeolite framework types owing
to the compensation effect between adsorption enthalpy and entropy. Differences in activity were
attributed to differences in intrinsic preexponential factors as well as differences in intrinsic activa-
tion energies. From a dispersion-corrected periodic density functional theory (DFT-D) study of
adsorption equilibrium coefficients ofn-alkanes in various zeolites, De Moor et al. (83) concluded
that changes in monomolecular cracking activity with carbon number and with zeolite framework
cannot be attributed solely to changes in the physisorption equilibrium coefficient. Given that
reported intrinsic activation energies are rather independent of the zeolite and the length of the
alkane (43, 111115), these authors concluded that the intrinsic preexponential factors, and thus
the intrinsic activation entropies, also play an important role. In addition, Iglesia and coworkers
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hydrogenation are similar in size, shape, and composition, and it is reasonable to assume that they
are solvated to the same extent within a given confining space. Hence,
rEa,8 = rEa,12 = (PAC-C PAC-H), 19
indicating that the difference in activation energy between cracking and hydrogenation is inde-
pendent of the zeolite environment. Given the observed difference in cracking-to-hydrogenation
ratio between 8-MR and 12-MR sites in MOR, entropy differences induced by confinement of
the two transition states in the different surrounding voids clearly can play a role in explaining theobserved product yields; in other words,
rSa,8 = (SstabTSC-C,8 SstabTSC-H,8) = rSa,8 = (SstabTSC-C,12 SstabTSC-H,12). 20
To explain the observed selectivity behavior with varying fractions of 8-MR sites in MOR
Gounder & Iglesia (43, 110, 115) thus emphasized the dominant role of entropy in the stabiliza-
tion of adsorbed species and transition states within different confining spaces in a given zeolite
when competing reactions proceed via transition states of similar size, shape, and composition;
therefore, differences in the enthalpy factors more or less cancel out in Equations 17 and 18.
The effect of the surrounding environment (8-MR or 12-MR sites) on a given reaction (i.e.,
the shape-selectivity effect) can, however, also be interpreted using the expressions
s it eEa,C-C = s it e DPE+ (EstabTSC-C,12 EstabTSC-C,8) (Hf ys,12 Hf ys,8) 21.
and
s it eEa,C-H = s it e DPE+ (EstabTSC-H,12 EstabTSC-H,8) (Hf ys,12 Hf ys,8), 22
because thePAterm cancels out from the equations. Usually, van der Waals contributions in the
physisorbed alkanes and transition states are similar; hence,
s it eEa,C-C = s i te DPE+s it eEelecTSC-C 23
and
s it eEa,C-H = s it e DPE+s it eEelecTSC-H. 24
In the particular case considered (i.e., competing reactions of a given alkane in differently shapedsurroundings in a given zeolite with a given Si/Al ratio but in which the protons on the 8-MR sites
have been selectively replaced by monovalent sodium ions), it can be expected that the 8-MR and
12-MR sites have more or less equal strength and that the long-range electrostatic stabilization of
the charged transition states by the MOR framework is rather similar too.
Inthemoregeneralcase(i.e.,foragivenreactioninadifferentzeoliteframeworkwithadifferent
Si/Al ratio), Equation 23 or 24, together with its counterpart for the intrinsic activation entropy,
clearly shows that, in principle, changes in the intrinsic activation energy and/or entropy of a given
reaction occurring on sites that are located in a different zeolite framework with a different Si/Al
ratio can be induced by differences in long-range electrostatic stabilization between the zeolites,
but also by differences in acid strength. Moreover, differences in physisorption enthalpy and
entropy of thealkane in thedifferentconfining spaces can be expected to contribute to the observed
shape-selectivity effect as well. Thus, in general, depending on the particular reaction and on the
particular zeolite frameworks under consideration, one or the other factor can become dominant
in determining enthalpy and/or entropy contributions to explain shape-selectivity effects.
Moreover, Tranca et al. (116) recently reported on a molecular mechanicsMonte Carlo study
of adsorption of light alkanes in H-ZSM-5, which suggested that the physisorption entropy sig-
nificantly depends on temperature. At typical cracking temperatures (700 K), the calculated alkane
adsorption entropy was found to be significantly less negative than at the temperatures usually
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AlO O
HO
H
AlO
O O
O
O O
O
H
OH
O
EtOHg
D1D2
M1
C1
M2
Ethoxy Etheneads
DEEads
DEEg
DEEg
EtOHg
EtOHg
H2Og
H2Og
Al
H
Al
HAl
O O
H
Al
O
H
O
O
AlO
H
O
O
H
HO
AlO O
O
HH
H
AlO O
O
HH
Al
H
O
H
Al
O O
H
EtOHg
EtOHg
EtOHg
H2C = CH2
H2C = CH2
H2C = CH2g
H2C = CH2g
1
2
3 4
5
6
7 8
9
10
11
Figure 10
Reaction network of elementary steps for the zeolite-catalyzed dehydration of ethanol (adapted from Reference 59). Therate-determining step along each reaction path is indicated in red. For the quasi-equilibrated steps, forward and backward arrows are
indicated, whereas only the forward arrow is indicated for the rate-determining step along each reaction path. For all elementary steps,forward and backward steps have been considered explicitly in the microkinetic simulations.
hydrocarbons, also occurs, even on these monofunctional acid catalysts. And at temperatures
above 473 K, the higher hydrocarbons constitute the dominant products (118). In analogy with
the methanol-to-gasoline process, a hydrocarbon pool mechanism has been suggested to explain
the production of the higher hydrocarbons (125).
Because the number of elementary reaction steps involved in ethanol dehydration remains
limited, it is feasible to compute thermodynamics and kinetics for all elementary steps in various
types of zeolites using quantum chemical calculations. Therefore, we have chosen ethanol
dehydration as a probe reaction to obtain a basic understanding of the influence of the zeolite
properties on its reactivity and selectivity behavior in bioalcohol conversion over various types of
zeolites using a first-principles-based microkinetic modeling approach. Relevant thermodynamic
and kinetic parameters for the elementary steps involved in ethanol dehydration over H-FAU, H-
MOR, H-ZSM-5, and H-ZSM-22 were obtained from static dispersioncorrected periodic DFT-
D calculations at 0 K and statistical thermodynamics and fed to a microkinetic model to investigate
the influence of reaction conditions and zeolite properties on reactivity and product selectivity (59,
60). The reaction scheme considered in the microkinetic modeling is illustrated in Figure 10,
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Table 3 Elementary steps and the three reaction paths for the assumed mechanism for the
dehydration of ethanola
Step Elementary step A B C
1 C2H5OH(g)+M1 1 1 0
2 M1 M2 1 0 0
3 M2 Ethoxy+ H2O(g) 1 0 0
4 Ethoxy Etheneads 1 0 0
5 EtheneadsEthene(g)+ 1 0 16 M1 +C2H5OH(g) D1 0 1 0
7 D1 D2 0 1 0
8 D2 DEEads+ H2O(g) 0 1 0
9 DEEadsDEE(g)+ 0 1 1
10 DEEads A = r2 C1 0 0 1
11 C1 Etheneads +C2H5OH(g) 0 0 1
Path A C2H5OH(g) Ethene(g) + H2O(g)
Path B 2 C2H5OH(g) DEE(g) + H2O(g)
Path C DEE(g) Ethene(g) + C2H5OH(g)
aThe rate-determining step along each reaction path is indicated in red. For the quasi-equilibrated steps, forward andbackward arrows are indicated, whereas only the forward arrow is indicated for the rate-determining step along each path.
For all elementary steps, forward and backward steps have been considered explicitly in the microkinetic simulations.
and an overview of the three reaction paths is given in Table 3. Kinetic experiments were
performed over H-ZSM-5 in a broad range of conditions and were used for validation purposes.
Our periodic DFT-D calculations indicate that the monomolecular pathway (see Path
A in Table 3) occurs via an intermediate chemisorbed monomer M1 (step 1) that rear-
ranges to a physisorbed monomer M2 (step 2), which undergoes water elimination to form
surface-bound ethoxide (step 3). The water elimination from M2 occurs through activation
of the alcohol C-O bond by the zeolite proton for attack of the carbon atom by the
aluminum-bound oxygen adjacent to the acid site, resulting in a [CH 3CH2OH2]+ cationic
transition state. This mechanism is consistent with the secondary kinetic isotopic effects measured
for ethylene synthesis rates using C2D5OH, which implies that the kinetically relevant step
involves the cleavage of the CO bond via a carbenium-ion-like transition state (123). Other
mechanisms were found to be significantly more activated. Ethoxide is then decomposed
into physisorbed ethene (Ethene) (step 4) that desorbs with regeneration of the active site
(step 5).
In the bimolecular path (see Path B in Table 3), an additional ethanol molecule coadsorbs
with M1 to form a chemisorbed dimer D1 (step 6), in which the proton is shared between the two
ethanol molecules. Rearrangement of D1 to thephysisorbed dimer D2 (step 7) is required for water
elimination to generate chemisorbed diethyl ether (DEE) (step 8). Diethyl ether then desorbs
from the zeolite (step 9) with regeneration of the acid site. The bimolecular elimination toward
DEE involvesactivationoftheC-Obondofonealcoholmoleculebythezeoliteprotonforattack
of its carbon atom by the OH of the other alcohol molecule, leading to a [C2H5OHC2H5
H2O]+ cationic transition state. The second ethanol molecule in the transition state functions as
a solvating agent to stabilize the carbenium-ion-like C2H5+ fragment (80, 123, 126). Reaction of
M1 or M2 with gas-phase ethanol via an Eley-Rideal mechanism was found to be significantly
more activated.
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Table 4 Rate coefficients (s1) at 473 K of the rate-determining step along the monomolecular,
the bimolecular, and the consecutive path in the dehydration of ethanol over zeolites H-FAU,
H-MOR, H-ZSM-5, and H-ZSM-22
H-FAU H-MOR a H-ZSM-5 H-ZSM-22
Reaction k (s1) k (s1) k (s1) k (s1)
M2 Ethoxy+ H2O(g) 2.1 102 7.3 102 1.0 3.6 101
D2 DEE + H2O(g) 3.7 102 7.3 101 2.4 102 8.0 104
DEE C1 1.2 104 2.6 105 5.3 104 2.6 105
a12-MR channels.
In the consecutive path (see Path C inTable 3), a very late and loose transition state is formed
via attack of the -hydrogen of adsorbed diethyl ether by the aluminum-bound oxygen adjacent to
the acid site, leading to simultaneous C-H and C-O bond scission and resulting in physisorbed
ethylene and ethanol (step 10). Desorption of ethanol (step 11) and ethylene (step 5) then restores
the acid site. Several other mechanisms for the consecutive path were investigated and found to
be significantly more activated.
Microkinetic simulations in a broad range of conditions revealed that steps 3, 8, and 10 are therate-determiningsteps alongthe monomolecular, bimolecular, and consecutivepaths,respectively.
All other reaction steps were found to be quasi-equilibrated. Rate coefficients at 473 K for these
rate-determining steps are provided in Table 4. As expected from the values of the rate coef-
ficients, Figure 11 shows that at 473 K, over the four zeolites, diethyl ether is the dominant
reaction product and, hence, that the bimolecular path is by far the dominant reactant path. Also,
the 10-MR zeolites, H-ZSM-5 and H-ZSM-22, are found to be much more reactive than the
12-MR zeolites, H-MOR and H-FAU (60). H-MOR, H-ZSM-5, and H-ZSM-22 have higher
DPEvalues (i.e., lower acid strengths) in comparison with H-FAU, but they provide higher sta-
bilization energies owing to confinement of the bimolecular transition state in the zeolite pores.
Among the four zeolites, H-ZSM-5 and especially H-ZSM-22 effectively stabilize the cationic
transition state by exerting larger dispersive, hydrogen-bonding and/or electrostatic interactions
than H-FAU and H-MOR, leading to significantly higher reactivity, by several orders of magni-
tude, of H-ZSM-5 and H-ZZSM-22 (seeFigure 12).
As illustrated in Supplemental Figure 1, a good agreement between simulated and exper-
imental conversions on H-ZSM-5 is obtained at temperatures ranging from 470 K to 520 K.
However, with increasing conversion, a systematic underprediction of the ethylene selectivity and
overprediction of the diethyl ether selectivity can be noticed. Analysis of the surface coverages
(seeSupplemental Figure 2) revealed that at higher conversion, adsorbed diethyl ether becomes
the most abundant surface intermediate, indicating that the observed deviation with the experi-
mental data most likely results from an underestimation of the preexponential of step 8 (i.e., the
rate-determining step of the consecutive path) and/or the occurrence of a reaction step for the
conversion of diethyl ether to ethylene and ethanol that has not been considered yet in the current
reaction network.
Because we have calculated the entropic contributions based on the harmonic oscillator approx-
imation, in view of the rather late and loose transition state of reaction 8, the approximation likely
performs poorly for the calculation of the activation entropy of this step. For loosely bonded
complexes in zeolites where there are many soft degrees of freedom, entropy losses calculated
based on the harmonic oscillator approximation are overestimated (117, 127). Therefore, the cal-
culated free-energy barrier of step 8 could be too high owing to the use of the harmonic oscillator
586 Reyniers Marin
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00 1 2 3 4
10
20
30
Conversion(%)
Site time (NH+/FEtOH,0)
H-ZSM-22
H-MOR
H-ZSM-5
H-FAU
00 1 2 3 4
10
20
30
D
EEyield(%)
Site time (NH+/FEtOH,0)
H-ZSM-22
H-MOR
H-ZSM-5H-FAU
0 1 2 3 4
C2H4yield(%)
Site time (NH+/FEtOH,0)
H-ZSM-22
H-MOR
H-ZSM-5
H-FAU
0
0.4
0.2
0.6
0.8
1
a
b c
Figure 11
(a) Simulated ethanol conversion and (b) diethyl ether and (c) ethylene yield as a function of site time over H-FAU (Si/Al = 47),H-MOR (Si/Al = 95), H-ZSM-5 (Si/Al = 95), and H-ZSM-22 (Si/Al = 35) at 473 K and inlet partial pressure of ethanol of 10 k
approximation. An increase of the preexponential of step 8 with a factor 10, corresponding to a
decrease in activation entropy of approximately 20 J mol1K1 (in the order of the accuracy that
can be expected from the harmonic oscillator approximation), results in very good agreement withthe experimental data, as shown in Figure 13. However, further exploration of the free-energy
surface using more advanced, ab initio dynamic simulations is needed to identify possible missing
steps in the network and/or to obtain a more accurate calculation of reaction free-energy barriers.
CONCLUSIONS AND FUTURE OUTLOOK
Chemical kinetics seeks to unravel the reaction mechanism at the molecular level and to provide a
quantitative description of the reaction rates. Undoubtedly, microkinetic models are indispensable
for chemical process optimization and design. In addition, their ability to incorporate a wealth of
knowledge available from surface science and operando studies, experimental kinetic studies, and
quantum chemistry makes them an ideal tool in the design of high-performance catalysts. In this
review, we have presented three alternative but complementary approaches for the kinetic analysis
of zeolite-catalyzed reactionsto illustratethepotentialof microkinetic modeling forrational design
of zeolite catalysts with improved activity and selectivity.
Although first-principles calculations can already provide valuable insights into the reaction
mechanism and help to unravel the influence of the catalyst properties on the kinetics of individual
elementary steps, full-fledged, first-principles-based microkinetic simulations remain out of
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H-FAU 7.0
6.3
5.6
4.9
4.2
3.5
2.8
2.1
1.4
0.7
0.0
H-MOR (12-MR)
H-ZSM-5 H-ZSM-22
H-FAU H-MOR
H-ZSM-5 H-ZSM-22
Hydrogenbonding
Ele
ctrostaticpotential(eV)
Ecomp,ZeOH Estab,ZeOH DPE + PA
Ecomp,H-FAU Estab,H-FAU+ DPE + PA
catEcomp= Ecomp,ZeOH Ecomp,H-FAU
Ecomp= Estab,ZeOH Estab,H-FAU
Hads,D2
DPEPA
Estab= EvdW+ Estab,DFT
Estab,vdW= Ecomp,vdW DPE PA
Estab,DFT= Ecomp,DFT DPE PA
Estab
TSB
D2
Ecomp
Ea,8
ZeO+ [C2H5OH---C2H5---H2O](g)
ZeOH + 2C2H5OH(g)
ZeO+ H+2C2H5OH(g)
kJ/mol Ecomp DPE Estab Estab,vdW Estab,DFT (Ecomp) (DPE) (Estab) (Estab,vdW) (Estab,DFT)
H-FAU 60 1,181 462 71 391 0 0 0 0 0
H-MOR 63 1,211 495 83 412 3 30 33 13 20
H-ZSM-5 100 1,210 531 97 434 40 29 69 27 42
H-ZSM-22 109 1,210 540 111 429 49 29 78 41 37
O1
O1
O1
O1
O2
O2 O2
O2C1
C1C1
C1
C3
C3 C3
C3C4
C4C4
C4
C2
C2C2
C2
Figure 12
Thermodynamic cycle (top) explaining the dispersion (EvdW) and long-range electrostatic (EDFT) contribution to the stabilizationenergy (Estab) (middle) of transition state TSB(bottom left) of the rate-determining step of the bimolecular reaction path (reaction 8 inFigure 10) owing to confinement in H-FAU (Si/Al = 47) and 12-MR channels of H-MOR (Si/Al = 95), H-ZSM-5 (Si/Al = 95), andH-ZSM-22 (Si/Al = 35). Deprotonation energies are calculated using QMPot(MP2//B3LYP:GULP). Electrostatic potential ( bottomright) for TSBmapped on a plane that crosses the O1, C1, and O2atoms. The atoms of the acid site do not belong to the plane and arenot shown (adapted from Reference 59).
reach in the foreseeable future. However, the traditional trial-and-error experimental approach
to heterogeneous catalyst design has become far too expensive and time consuming. From the
three approaches presented in this review, suggesting targets for synthesis strategies that enable
us to tune the zeolite properties clearly will require a very close intertwinement of first-principles
theoretical and experimental kinetic studies. In particular, systematic joined experimental and
theoretical studies on adsorption and reaction of various hydrocarbons and oxygenates over
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Conversio
n/selectivity
Temperature (K)
100
80
60
40
20
0470 480 490 500 510 520
X (%)
S-DEE (%)
S-C2H4(%)
Figure 13
Ethanol conversion (X), diethyl ether (S-DEE), and ethylene (S-C2H4) selectivity as a function oftemperature at space time Wcat/FEtOH,0 = 6.5 kg s mol
1 and PEtOH,0 = 24 kPa over H-ZSM-5.
Experimental data are indicated with their 95% confidence interval. Model simulations were obtained byadjusting (see text) the ab initiocalculated preexponential of reaction 11 in Figure 10.
well-defined and well-characterized zeolites are needed to unravel the physicochemical origin of
the shape-selectivity effect of zeolites and to obtain quantitative insight into the effect of zeolite
properties on their catalytic behavior under working conditions.
DISCLOSURE STATEMENT
The authors are not aware of any affiliations, memberships, funding, or financial holdings that
might be perceived as affecting the objectivity of this review.
ACKNOWLEDGMENTS
This work was carried out using the Stevin Supercomputer Infrastructure at Ghent University and
is supported by the Long-Term Structural Methusalem Funding from the Flemish Government
and the Interuniversity Attraction Poles Programme Belgian State Belgian Science Policy.
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