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			<titleStmt><title level='a'>A transient kinetic analysis of the evolution of a reducible metal oxide towards catalyzing nonoxidative alkanol dehydrogenation</title></titleStmt>
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				<publisher></publisher>
				<date>01/01/2021</date>
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				<bibl> 
					<idno type="par_id">10238283</idno>
					<idno type="doi">10.1016/j.jcat.2020.08.023</idno>
					<title level='j'>Journal of Catalysis</title>
<idno>0021-9517</idno>
<biblScope unit="volume">393</biblScope>
<biblScope unit="issue">C</biblScope>					

					<author>Sadia Afrin</author><author>Praveen Bollini</author>
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			<abstract><ab><![CDATA[Quantitative analyses of four sets of aerobic/anaerobic ethanol conversion transients point to the evolution of a native high-surface-area cerium oxide surface that effects the reduction half of the ethanol oxidation turnover to catalyzing, exclusively, nonoxidative ethanol dehydrogenation upon complete surface reduction. Aerobic-anaerobic switches at 498 K lead to new steady state dehydrogenation rates, rather than termination of catalytic acetaldehyde formation. Concurrent termination of oxygen imbalances (reflecting ceria reduction) and induction periods (reflecting active site creation) in anaerobic experiments point to ethanol dehydrogenation turnovers owing their provenance to surface reduction. Implausibly high vacancy densities obtained from analysis of oxygen imbalances when using acetaldehyde and CO 2 formation rates, unlike those obtained when using water and CO 2 formation rates, point to the catalytic origin of at least part of the acetaldehyde formed during both aerobic-anaerobic switches and anaerobic induction periods. Normalized water molar flow rates, used as a measure of the relative contributions of catalytic and stoichiometric routes to acetaldehyde formation, evince a transition from stoichiometric ethanol oxidation to catalytic ethanol dehydrogenation upon progressive surface reduction. Hightemperature hydrogen pretreatments can be used to manipulate both the initial contribution of ethanol dehydrogenation to overall acetaldehyde formation as well as the fractional surface reduction that ethanol, rather than molecular hydrogen, effectuates. Alpha hydrogen-free titrants such as phenol, on the other hand, can be used to titrate sites contributing to catalytic alkanol dehydrogenation without altering the prevalence of stoichiometric routes responsible for site creation in the first place. The combination of transient experiments used herein capture, with clarity, the evolution in catalytic function of highsurface-area cerium oxide toward ethanol upon progressive reduction that originates from its stoichiometric conversion over a native, fully oxidized surface. Not unimportantly, the results also point to an avenue for the water-free synthesis of alkanals over reducible metal oxides.]]></ab></abstract>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1.">Introduction</head><p>Cerium oxide-the most abundant rare-earth oxide in the earth's crust <ref type="bibr">[1]</ref>-has been studied extensively as a catalytic material <ref type="bibr">[2]</ref><ref type="bibr">[3]</ref><ref type="bibr">[4]</ref><ref type="bibr">[5]</ref><ref type="bibr">[6]</ref><ref type="bibr">[7]</ref><ref type="bibr">[8]</ref>, and has also been applied commercially as an oxygen storage component in three-way catalyst systems for the treatment of automotive exhaust streams <ref type="bibr">[9]</ref><ref type="bibr">[10]</ref><ref type="bibr">[11]</ref><ref type="bibr">[12]</ref>. Key to ceria's catalytic and oxygen storage properties is its propensity to undergo rapid reduction-oxidation cycles in response to exposure to sub-and overstoichiometric amounts of oxygen, respectively <ref type="bibr">[4,</ref><ref type="bibr">9,</ref><ref type="bibr">10]</ref>; its propensity to reversibly generate oxygen vacancies, combined with the significant body of existing work focused on examining the same, make it an ideal candidate to elucidate and clarify oxygen vacancy catalytic function, and to compare and contrast molecular phenomena prevailing over reduced and oxidized surfaces.</p><p>The reactivity of alkanols, especially ethanol, has been used extensively for the purposes of deciphering active site requirements and unraveling operative reaction mechanisms over metal oxide surfaces <ref type="bibr">[13]</ref><ref type="bibr">[14]</ref><ref type="bibr">[15]</ref><ref type="bibr">[16]</ref><ref type="bibr">[17]</ref><ref type="bibr">[18]</ref><ref type="bibr">[19]</ref><ref type="bibr">[20]</ref><ref type="bibr">[21]</ref><ref type="bibr">[22]</ref>. Specifically, dehydration kinetics can provide insights into the nature and density of active sites effectuating acid-catalyzed turnovers <ref type="bibr">[23,</ref><ref type="bibr">24]</ref>, while inquiries into partial alkanol oxidation can provide analogous assessments of sites mediating redox turnovers <ref type="bibr">[25,</ref><ref type="bibr">26]</ref>. Partial alkanol oxidation over transition metal oxides has been proposed to occur through Mars-van Krevelen redox cycles in which O-H and C-H bond cleavage and subsequent desorption of water constitute the reduction half of the cycle, and kinetically irrelevant reoxidation steps comprise the oxidation half of the cycle <ref type="bibr">[27,</ref><ref type="bibr">28]</ref>. Existing interpretations of catalytic data assume that vacancies created upon loss of lattice oxygen are reoxidized by gas-phase oxygen, but not directly involved in C-H or O-H bond cleavage steps, which instead occur exclusively over the reoxidized surface-an interpretation reinforced by the lack of catalytic alkanol dehydrogenation over substoichiometric supported Ru 2 O catalysts <ref type="bibr">[27]</ref> or vacancycontaining supported Group V-VI metal oxides <ref type="bibr">[29]</ref>. Vacancymediated catalytic nonoxidative alkanol and alkane dehydrogenation, on the other hand, have in fact been proposed in the literature <ref type="bibr">[30]</ref><ref type="bibr">[31]</ref><ref type="bibr">[32]</ref>, thereby at the very least rendering plausible contributions from both oxidative and dehydrogenative routes under select sets of reaction conditions. Existing evidence for the prevalence of Mars-van Krevelen cycles that create oxygen vacancies in the reduction half of the cycle, combined with the plausibility of catalytic dehydrogenation occurring over reduced surfaces created during those reduction half cycles, led us to ask the question: Can the surface of a reducible metal oxide, under anaerobic conditions, transition from effecting exclusively the reduction half of the alkanol oxidation cycle when fully oxidized, to catalyzing dehydrogenation when fully reduced?</p><p>We choose, to this end, ethanol conversion over ceria surfaces, in part motivated by the existence of a temperature regime in which the lack of bulk oxygen mobility may preclude complications in data interpretation arising from bulk oxygen vacancy creation <ref type="bibr">[6,</ref><ref type="bibr">10,</ref><ref type="bibr">[33]</ref><ref type="bibr">[34]</ref><ref type="bibr">[35]</ref>. As shown in Section 3, such isolation of reduction exclusively to the cerium oxide surface ends up being key to demonstrating, with sufficient clarity, the evolution in catalytic function of the oxide surface upon progressive reduction. Also, crucially, using ethanol as a probe molecule allows operation in a low-temperature regime in which oxidation and dehydrogenation predominate over alkanol dehydration and alkanal condensation under both aerobic <ref type="bibr">[5,</ref><ref type="bibr">36]</ref> and anaerobic conditions (Fig. <ref type="figure">S5</ref>, Supporting Information), thereby rendering unnecessary the deconvolution of effects of surface reduction on redox and acid catalysis. Several groups have identified reduced ceria surfaces as having a greater propensity than oxidized ones to produce molecular hydrogen when exposed to C 1 -C 3 alkanols. For example, Yee et al. noted smaller fractions of unreacted ethanol when temperature-programmed desorption was carried out on ceria reduced at 773 K, rather than unreduced ceria <ref type="bibr">[34]</ref>. Whereas in the case of unreduced ceria two separate, concurrent peaks for ethanol and ethanal were measured, the high-temperature peak for reduced ceria was found to be composed exclusively of ethanal. Vohs and co-workers <ref type="bibr">[37]</ref> and Mullins et al. <ref type="bibr">[38]</ref> noted that while formaldehyde and water were the main products detected on oxidized ceria thin films, CO and H 2 were the main products observed in postreduction methanol TPD profiles. H 2 :H 2 O ratios were found to increase with the degree of ceria reduction in both these studies, as well as other reports in which C 1 -C 3 alkanol TPD was carried out over (1 1 1) films <ref type="bibr">[39]</ref> and methanol TPD was carried out over (1 0 0) films <ref type="bibr">[40]</ref>. These studies point, albeit vaguely, to the occurrence of alkanol dehydrogenation over reduced ceria surfaces, with their contribution over oxidized surfaces remaining ambiguous at best. Complications arising from both stoichiometric and catalytic contributions in TPD runs exacerbate this ambiguity, making it even more challenging to interpret differences in catalytic function over oxidized and reduced surfaces. Additionally, although these studies evaluate the effect of oxide prereduction on surface reactivity, they do not, in most cases, explicitly consider the effect of reduction that could occur directly as a result of C 1 -C 3 alkanol reactivity.</p><p>In contrast with these prior literature reports, we focus on and elucidate the simultaneous evolution of both degree of reduction and catalytic function of high-surface-area cerium oxide upon exposure to ethanol. Specifically, we use four distinct sets of transient kinetic experiments, the quantitative analysis of which captures, with clarity, a progressive increase in propensity towards catalytic nonoxidative dehydrogenation with degree of reduction. To this end, we describe in Section 3.1 the implications of switching from aerobic to anaerobic conditions; in Section 3.2, we analyze the induction period for anaerobic dehydrogenation; the effect of prereduction under hydrogen at progressively greater temperatures on anaerobic transients is presented in Section 3.3, the latter half of which discusses the use of alpha hydrogen-free oxygenates that appear to selectively titrate dehydrogenative routes to acetaldehyde formation. All four sets of transient experiments reported herein point to the near-exclusive prevalence of oxidative routes over oxidized ceria surfaces, and an evolution toward dehydrogenative routes upon progressive surface reduction.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.">Experimental</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.1.">Catalyst synthesis</head><p>Bulk cerium oxide was prepared using the procedure reported by Schimming et al. <ref type="bibr">[6]</ref>. Precipitation of cerium oxide was carried out by adding cerium (III) nitrate hexahydrate (Acros Organics, 99.5%) to an aqueous solution of ammonium hydroxide (ACS reagent grade, 28-30%). Specifically, a 0.1 M solution was prepared by dissolving 21.77 g of Ce(NO 3 ) 3 &#193;6H 2 O in 498.6 g of deionized water. This solution was then added dropwise to 512 mL aqueous NH 4 OH with continuous stirring at a rate of 500 rpm over the course of 1.2 ks. The precipitate was filtered using a hand vacuum pump and rinsed twice with 50 mL deionized water per 200 mL of solution filtered. The obtained powder was dried overnight at 373 K in an oven and calcined in a muffle furnace for 14.4 ks at 773 K under 3.33 cm 3 s &#192;1 air (Matheson, zero-grade) with a ramp rate of 0.083 K s &#192;1 -a procedure similar to those in other reports in the literature <ref type="bibr">[6,</ref><ref type="bibr">41]</ref>. A mass of 8.4 g of catalyst was recovered in the process and used for characterization and reactivity studies.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.2.">Material characterization</head><p>Powder X-ray diffraction patterns were collected on a Rigaku SmartLab Diffractometer using CuKa radiation (40 kV, 30 mA) in the range of 2h = 20&#176;-80&#176;with a step size of 0.02&#176;and a scan rate of 0.167&#176;s &#192;1 . N 2 physisorption isotherms were measured using a Micromeritics 3 Flex instrument at 77 K, with the samples degassed at 473 K and 10.67-13.33 Pa for 14.4 ks.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2.3.">Reactivity studies</head><p>The catalyst sample (~25 mg) was loaded into a quartz tube (inner diameter 0.004 m) mounted in an insulated single-zone furnace (1060 W/115 V, Applied Test Systems Series 3210) with a thermocouple (Omega, Model KMQXL-062U-15) placed at the top of the catalyst bed connected to an Applied Test Systems temperature controller (Model 17-16907) used to control bed temperature and ramp rates. The sample was heated to 773 K at a ramp rate of 0.046 K s &#192;1 and then pretreated under air (5 kPa O 2 ) in a He flow of 0.35 cm 3 s &#192;1 for 3.6 ks. A prereduction step, when required, was carried out after the pretreatment step, at the desired temperature under 7 kPa H 2 (Matheson, UHP), 20 kPa Argon (Matheson, UHP grade, internal standard), balance He. Water formation during the prereduction step was measured using an MKS Cirrus 3.0 mass spectrometer. The sample was then cooled to reaction temperature (498 K) at 0.021 K s &#192;1 under air, for reaction over oxidized ceria, or H 2 in He, for reaction over reduced ceria. Vapor-phase anaerobic dehydrogenation was carried out by feeding a mixture containing ethanol, ethane (internal standard; 2.01% in N 2 , Praxair, certified standard), and He. To conduct partial oxidation of ethanol, air (1.2 kPa O 2 ) was added to the reaction stream. During phenol co-feed experiments, a mixture of ethanol and phenol was used. Ethanol (Sigma, 99%, ReagentPlus) or a mixture of ethanol and phenol (Sigma, 89%, ReagentPlus) was fed using a syringe pump (KD Scientific, Model 100), with tubing downstream of the syringe pump heated to 373-393 K to prevent condensation of ethanol and reaction products. Spent catalysts were regenerated at 773 K in air (5 kPa O 2 ) in a He stream with a total flow rate of 0.35 cm 3 s &#192;1 for 28.8 ks. Organic product molar flow rates were quantified using a flame ionization detector on an Agilent 7890B gas chromatograph equipped with a methyl-siloxane capillary column (HP-1, 30 m &#194; 320 lm &#194; 3 lm). Inorganic products were quantified using a thermal conductivity detector on the same GC connected to a bonded polystyrene-divinylbenzene (DVB) capillary column (HP-PLOT/Q, 30 m &#194; 320 lm &#194; 3 lm).</p><p>Ethanol conversion was calculated by comparing total molar flow rates of carbon-containing products quantified using the GC with the inlet flow rate of ethanol.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.">Results and discussion</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1.">Aerobic-anaerobic transients</head><p>Aerobic ethanol dehydrogenation over bulk high-surface-area ceria at 498 K (0.43 kPa C 2 H 5 OH, 1.2 kPa O 2 ) leads to steady state acetaldehyde formation rates more than 50-fold greater than diethyl ether formation rates, in contrast with supported VO x / Al 2 O 3 catalysts that exhibit only a fivefold difference in acetaldehyde and diethyl ether formation rates (4 kPa C 2 H 5 OH, 9 kPa O 2, 473 K) <ref type="bibr">[18]</ref>. This observation is consistent with DFT studies on (1 1 1) and (1 0 0) ceria surfaces that predict acetaldehyde as the major product up to 573 K <ref type="bibr">[42]</ref>, and experimental studies suggesting the predominance of acetaldehyde over ethylene and diethyl ether as products at temperatures below 640 K <ref type="bibr">[43]</ref>. Acetaldehyde and CO 2 are the major products observed at steady state (Fig. <ref type="figure">S6</ref>, Supporting Information), consistent with prior literature reporting acetaldehyde and CO 2 as major products during steady state aerobic ethanol experiments between 423 and 623 K <ref type="bibr">[5,</ref><ref type="bibr">34]</ref>.</p><p>Aerobic-anaerobic switches can be used to count sites involved in Mars-van Krevelen (MvK) redox cycles, as shown by the Baertsch and Iglesia groups for supported Ru 2 O and Group V-VI metal oxides <ref type="bibr">[26,</ref><ref type="bibr">27,</ref><ref type="bibr">29]</ref>. These cycles involve vacancy creation that is preceded by hydrogen abstraction steps in the reduction half of the cycle, followed by reoxidation steps that constitute the oxidation half of the cycle (Scheme 1). Eliminating gas-phase oxygen as part of an aerobic-anaerobic switch results in a gradual decrease in acetaldehyde formation rates due to depletion of gas-phase oxygen, the dissociative adsorption of which constitutes the oxidation half of the cycle. The absence of gas-phase oxygen results in stoichiometric aldehyde formation, the rates of which progressively decrease to zero due to the lack of non-MvK contributions to aldehyde formation (Scheme 1). Assuming one aldehyde and water molecule each are formed per reduction half cycle, the moles of active sites effecting oxidative dehydrogenation under aerobic conditions can be estimated as the cumulative moles of acetaldehyde or water formed during this transient. An accurate quantification of active sites using this method is predicated on the assumption that while the reduction half of the cycle involving surface oxygen continues to proceed, sites created upon reduction do not contribute to alkanal formation. We note that in the event that MvK cycles do not constitute the sole route to alkanal formation, a nonzero rate of alkanal formation may be measured upon switching to anaerobic conditions.</p><p>Aerobic-anaerobic ethanol switches over high-surface-area cerium oxide, unlike analogous experiments <ref type="bibr">[26,</ref><ref type="bibr">27,</ref><ref type="bibr">29]</ref> for alkanol conversion over supported metal oxides result not in transient acetaldehyde formation rates that drop to negligible values, but that instead transition to a steady state value approximately half the aerobic steady state rate (3.3 &#194; 10 -4 -1.6 &#194; 10 -4 mol CH 3 CHO (mol Ce s ) -1 s &#192;1 , Fig. <ref type="figure">1</ref>). Acetaldehyde formation rates can be recovered upon reintroduction of oxygen, suggesting that residual rates measured under anaerobic conditions are likely not a result of irreversible changes in catalyst structure. The reversibility of the transient behavior suggests, instead, one of two possibilities, both of which complicate the direct use of transient acetaldehyde formation rates in assessing site densities: (1) a contribution to acetaldehyde formation, in the presence of gas-phase oxygen, from non-MvK routes that cannot be eliminated merely through the removal of molecular oxygen from the feed stream, or (2) the formation of acetaldehyde via non-MvK routes that are enabled by the transient stoichiometric formation of acetaldehyde and the corresponding concurrent surface reduction.</p><p>To assess the plausibility of the former, we define and assess  of ethanol, and are consistent with the absence of nonoxidative routes to acetaldehyde formation in the presence of gas-phase ethanol and oxygen. Normalized water molar flow rates drop monotonically with increasing time on stream upon switching to anaerobic conditions, suggesting increasing relative contributions to acetaldehyde formation from ethanol dehydrogenation. The lack of water (or any oxygen-containing product except acetaldehyde) measured under steady state anaerobic conditions is merely reflective of the depletion of surface oxygen that could potentially participate in MvK-type redox cycles. This depletion is challenging to accurately quantify given the prevalence of finite gas-phase oxygen partial pressures during the transient (Fig. <ref type="figure">1</ref>)-an artifact that can be overcome in the anaerobic experiments described in the next section. The transition from exclusively ethanol oxidation (g ~1) before the switch to ethanol dehydrogenation (g = 0) after the switch suggests that sites for ethanol dehydrogenation, rather than being present under aerobic conditions, are in fact created subsequent to the elimination of oxygen from the feed. It appears, therefore, that the ceria material evolves under anaerobic conditions in a manner that endows it with the ability to effectuate catalytic dehydrogenation-an ability that the native oxide is deprived of. Such an evolution toward catalytic dehydrogenation entails contributions from both catalytic and stoichiometric events to acetaldehyde formation, and preclude its transient rate of formation from being used to count active sites, as done in previous reports focusing on systems where reduction, rather than leading to a propensity to catalytic dehydrogenation, results in the elimination of acetaldehyde formation <ref type="bibr">[27,</ref><ref type="bibr">29]</ref>. Correcting for this overestimation of site densities resulting from catalytic dehydrogenation requires distinguishing between catalytic and stoichiometric contributions to alkanal formation, the deconvolution of which is prevented by the nonzero oxygen partial pressures prevalent immediately after the switch to anaerobic conditions (Fig. <ref type="figure">1</ref>).</p><p>Based on aerobic oxidation g values that decrease from unity to zero upon switching to anaerobic conditions, and the nonzero acetaldehyde formation rates under the latter conditions, we hypothesize that the aerobic-anaerobic transition shown in Fig. <ref type="figure">1</ref> is a result of an evolution in surface catalytic function from oxidation (in the presence of gas-phase oxygen) to dehydrogenation over a reduced surface created as a result of stoichiometric acetaldehyde formation (Scheme 3). In the next section, we analyze quantitatively, from the standpoint of both the degree of surface reduction and the relative contributions of oxidative and nonoxidative routes, the induction period observed under anaerobic conditions. These analyses allow an elimination of complications in data interpretation arising from the presence of gasphase oxygen subsequent to aerobic-anaerobic switches.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2.">Anaerobic dehydrogenation of ethanol</head><p>Anaerobic dehydrogenation of ethanol, subsequent to an induction period, resulted in steady state acetaldehyde rates higher than those measured in the absence of a catalyst, but comparable to those measured upon switching from aerobic to anaerobic conditions (Fig. <ref type="figure">3a</ref>), consistent with the occurrence of catalytic nonoxidative ethanol dehydrogenation over high-surface-area ceria at 498 K. We now analyze the induction period preceding this steady state rate quantitatively with the goal of deciphering the nature of active sites effecting nonoxidative dehydrogenation. Acetaldehyde, water, CO 2 , and butenes are the major products produced during the induction period, with water, CO 2 , and butene being absent in the product stream during steady state anaerobic dehydrogenation (Fig. <ref type="figure">S7</ref>). Initial normalized water molar flow rates (corrected for C 4 formation) approximate to unity (Fig. <ref type="figure">3b</ref>), similar to the ratios observed in the case of steady state catalytic oxidative dehydrogenation, suggesting the initial near-exclusive occurrence of the reduction half of the oxidative cycle. The decrease in g as a function of time on stream points to an evolution away from ethanol oxidation, as a consequence of depletion of surface oxygens that act as hydrogen abstractors in these reduction half-cycles. The absence of water and CO 2 as products at steady state, and the progressive decrease in g toward zero, are indicative of increasing contributions from ethanol dehydrogenation over reduced surfaces, and consistent with reduced surfaces having a greater propensity to catalyze ethanol dehydrogenation to acetaldehyde and hydrogen. Attribution of the existence of an induction period to depletion in surface oxygen is further supported by the equivalence between time scales required for elimination of oxygen imbalances and those associated with reaching steady state acetaldehyde formation rates (~10 ks, Fig. <ref type="figure">4</ref>); that is, acetaldehyde rates reach steady state values only after sufficient reduction halfcycles have occurred to render further surface oxygen removal implausible.</p><p>Although emphasizing the correlation between surface oxygen vacancy formation and catalytic acetaldehyde formation, the data in Fig. <ref type="figure">4</ref> leave open multiple methods for quantifying oxygen vacancy densities. These methods for the integration of oxygen imbalances as a function of time provide additional specific insights into the relation between surface reduction and ethanol dehydrogenation. Two distinct methods for calculating vacancy  densities can be envisioned, based on the stoichiometries of partial and total ethanol oxidation. Stoichiometric partial oxidation of ethanol results in the creation of one oxygen vacancy per molecule of acetaldehyde formed, whereas stoichiometric conversion of ethanol to CO 2 and H 2 O results in formation of three vacancies per molecule of CO 2 formed (Scheme 4). The moles of oxygen vacancies formed can therefore be calculated as the sum of the moles of acetaldehyde formed and three times the moles of CO 2 formed (Eq. ( <ref type="formula">1</ref>)). A second method that could be used to assess vacancy density is based on the moles of water and CO 2 formed. Every mole of water produced, regardless of whether it results from partial or total oxidation, can be assumed to originate the ceria lattice, whereas three out of four oxygen atoms in two molecules of CO 2 can be assumed to originate from the ceria lattice, with the fourth originating from the reacting ethanol. The vacancy density can then be calculated as the sum of the moles of water formed and 1.5 times the moles of CO 2 formed (Eq. ( <ref type="formula">2</ref>)). Note that in applying this equation, the oxygen atom from the ethanol molecule is assumed to desorb from the surface as CO 2 , not water. The transfer of this oxygen atom to water would require cleavage of the carbon-oxygen bond, the possibility of which has already been accounted for when correcting for the C 4 formation rate. Fig. <ref type="figure">5</ref> shows normalized vacancy densities, calculated as the number of vacancies created normalized by one-fourth the number of surface oxygens available before exposure to ethanol, assuming the entire surface to be composed solely of (1 1 1) facets purported to be the most stable ones in the case of cerium oxide <ref type="bibr">[44]</ref><ref type="bibr">[45]</ref><ref type="bibr">[46]</ref><ref type="bibr">[47]</ref><ref type="bibr">[48]</ref><ref type="bibr">[49]</ref><ref type="bibr">[50]</ref>. Two more assumptions are made in calculating these normalized vacancy densities: (1) one in every four surface oxygen atoms can be eliminated upon complete reduction, corresponding to   every surface cerium atom being in the + 3 oxidation state <ref type="bibr">[3,</ref><ref type="bibr">[51]</ref><ref type="bibr">[52]</ref><ref type="bibr">[53]</ref><ref type="bibr">[54]</ref>, and (2) reduction is limited exclusively to the surface due to the lack of bulk oxygen mobility at 498 K <ref type="bibr">[6,</ref><ref type="bibr">33,</ref><ref type="bibr">44,</ref><ref type="bibr">48,</ref><ref type="bibr">50,</ref><ref type="bibr">[55]</ref><ref type="bibr">[56]</ref><ref type="bibr">[57]</ref>.</p><p>Normalization by one-fourth of total surface oxygen implies that these vacancy densities assume a value of one when the surface is completely reduced. Normalized vacancy densities calculated using CO 2 and water as descriptors of surface reduction (Eq. ( <ref type="formula">2</ref>)) increase with time on stream, but plateau at a value of 1 (Fig. <ref type="figure">5</ref>), suggesting complete reduction of the ceria surface during the anaerobic induction period. Vacancy densities calculated using acetaldehyde and CO 2 as descriptors (Eq. ( <ref type="formula">1</ref>)), on the other hand, increase monotonically with time, exceeding values that are plausible even upon complete surface reduction. This inconsistency between the two normalized vacancy densities can be understood in the context of catalytic and stoichiometric processes that occur during the anaerobic induction period, and are depicted in Scheme 2. Vacancy densities calculated using acetaldehyde and CO 2 molar flow rates keep increasing as a function of time beyond values corresponding to complete surface reduction because acetaldehyde, unlike water and CO 2 , is produced both catalytically and stoichiometrically. Such nonstoichiometric formation of acetaldehyde in anaerobic transients renders the use of its formation rate in vacancy density calculations inaccurate, just as integrated acetaldehyde formation rates are nonrigorous descriptors of the degree of surface reduction in aerobic-anaerobic switching experiments (Sect. 3.1). The use of CO 2 and water-products exclusively of stoichiometric events-on the other hand, provide not only vacancy densities that are plausible, but also ones that correspond, subsequent to the induction period, to complete surface reduction (Fig. <ref type="figure">5</ref>). Anaerobic experiments reported here are therefore consistent with surface reduction originating from the reduction half of the ethanol oxidation cycle creating sites that then effect ethanol dehydrogenation. Next, we assess the use of high-temperature hydrogen pretreatments and alpha and beta hydrogen-free titrants, respectively, to manipulate the density of these sites before and after exposure to ethanol.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.3.">Controlling the density of sites effecting oxidative and nonoxidative routes</head><p>Hydrogen treatments have been used in previous research to create oxygen vacancies on ceria materials, with two peaks commonly observed in temperature-programmed reduction experiments <ref type="bibr">[6,</ref><ref type="bibr">10,</ref><ref type="bibr">33,</ref><ref type="bibr">55]</ref>. The low-temperature peak (typically 713-773 K) has been attributed to surface reduction and the hightemperature peak (typically 998-1023 K) to bulk reduction, an inference supported in part by correlations between the area of the low-temperature peak and ceria surface area <ref type="bibr">[10]</ref>, and DFT studies suggesting the need for higher temperatures to achieve bulk vacancy creation <ref type="bibr">[44,</ref><ref type="bibr">48,</ref><ref type="bibr">57]</ref>. A relationship having already been established between the degree of surface reduction and the prevalence of catalytic ethanol dehydrogenation, the existence of this well-defined temperature range in which the degree of surface reduction can be controlled through the use of hydrogen treatments could potentially allow us to tune, prior to exposure to ethanol, the density of active sites effecting dehydrogenation. We use a temperature range of 623-773 K for these hydrogen treatments, with the goal of limiting reduction to the ceria surface, avoiding complications originating from bulk oxygen mobility and vacancy creation/destruction, as discussed above. Normalized vacancy densities ranging from 0.2 to 0.64 were achieved using treatment temperatures from 623 to 773 K, with increasing hydrogen pretreatment temperatures leading to higher vacancy densities (Fig. <ref type="figure">S8</ref> and Table <ref type="table">S2</ref>). These vacancy densities are consistent with the restriction of vacancy creation to the surface, as expected based on prior literature discussed above. The propensity of reduced sur-faces to effect ethanol dehydrogenation, as inferred from the anaerobic and aerobic transients described above, imply that vacancies generated during these pretreatments should increase the relative initial preponderance of catalytic dehydrogenation compared to stoichiometric oxidation. Initial normalized water molar flow rates that decrease monotonically with increasing hydrogen pretreatment temperature (Fig. <ref type="figure">6</ref>), and that track with the normalized fraction of available surface oxygen after pretreatment (assuming 25% of surface oxygen is available for C-H/O-H bond scission), are consistent with progressively greater initial contributions from dehydrogenative routes with increasing treatment temperature. We posit that this increasing propensity of prereduced surfaces to effect dehydrogenation is similar in origin to the evolution of surface catalytic function that occurs as a function of time on stream upon exposure to ethanol both in the presence and in the absence of hydrogen pretreatments. The hydrogen treatments serve merely to create part of the dehydrogenation functionality that is otherwise exclusively generated as a result of stoichiometric oxidative dehydrogenation; that is, the higher the treatment temperature, the lower the fraction of the surface that is reduced by ethanol, rather than hydrogen.</p><p>Oxygen vacancy densities after hydrogen pretreatment and anaerobic dehydrogenation were calculated by integrating measured water molar flow rates and by using Eq. ( <ref type="formula">2</ref>), respectively, with the goal of verifying this assertion. Whereas vacancy densities after hydrogen treatment increased monotonically with treatment temperature, vacancy densities calculated from Eq. ( <ref type="formula">2</ref>) showed the opposite trend (Fig. <ref type="figure">7</ref>), with the latter corresponding precisely to the densities that would be required to ensure complete reduction of the surface given the varying degrees of partial reduction upon treatment under hydrogen. These trends suggest an identical degree of reduction of the ceria catalyst after both steps have occurred, with the pretreatment temperature determining merely its distribution between that effected by hydrogen and by ethanol. Pretreatment at higher temperatures leads to lower densities of available surface oxygens that participate in the reduction half of the oxidative cycle, accounted for in the vacancy density calculations utilizing Eq. (2).</p><p>All three sets of transient experiments discussed so far are consistent with a greater propensity of reduced surfaces to effect ethanol dehydrogenation-a propensity that can be accessed through the use of high-temperature hydrogen pretreatments. These hydrogen pretreatments, however, do not allow control over site Fig. <ref type="figure">7</ref>. Effect of prereduction temperature on normalized oxygen vacancy densities after hydrogen pretreatment and anaerobic ethanol dehydrogenation. Filled bars represent vacancies created upon reduction under hydrogen, and empty bars represent vacancies created in the presence of ethanol. Vacancy densities after hydrogen treatments were calculated by integrating water molar flow rates and those after ethanol dehydrogenation were calculated using Eq. ( <ref type="formula">2</ref>). Prereduction conditions: 7 kPa H 2 , 20 kPa Ar, 623-773 K; reaction conditions: 0.43 kPa C 2 H 5 OH, balance He, 1.9 &#194;10 -6 mol C 2 H 5 OH g cat -1 s &#192;1 , 498 K.</p><p>densities after exposure to ethanol, the evolution of which is dependent purely on the rates of the reduction half cycle. Another approach to tuning the relative preponderance of oxidative and dehydrogenative routes is to titrate selectively, in situ, sites effecting catalytic dehydrogenation. Assuming that the occurrence of catalytic ethanol dehydrogenation is predicated on the availability of oxygen vacancies created upon surface reduction, and based on prior literature assessing the role of oxygen vacancies in alkanol adsorption/dehydrogenation <ref type="bibr">[37,</ref><ref type="bibr">38,</ref><ref type="bibr">[58]</ref><ref type="bibr">[59]</ref><ref type="bibr">[60]</ref>, a sequence of steps such as that shown in Scheme 5 can be envisioned for ethanol dehydrogenation/dehydration. Ethanol adsorbs onto an oxygen vacancy in a step responsible for the cleavage of the oxygen-hydrogen bond, forming an ethoxide intermediate <ref type="bibr">[5,</ref><ref type="bibr">[38]</ref><ref type="bibr">[39]</ref><ref type="bibr">[40]</ref><ref type="bibr">58,</ref><ref type="bibr">60]</ref>.</p><p>The ethoxide intermediate can undergo a-hydrogen abstraction to form acetaldehyde or b-hydrogen abstraction to form ethylene, with subsequent steps involving hydrogen or water desorption, respectively, to regenerate the oxygen vacancy to complete the catalytic cycle. We hypothesize that the presence of oxygenates deprived of abstractable aand b-hydrogens can lead to the formation of persistent alkoxide intermediates; the persistence of these intermediates, in contrast with ethoxide intermediates endowed with abstractable aand b-hydrogens, can result in the poisoning of sites effecting ethanol dehydrogenation (Scheme 5, bottom), while potentially leaving unhindered the ability of the surface to effect the reduction half of the oxidative turnover. We choose for this purpose phenol, an oxygenate that has no a-hydrogens, no b-hydrogens that can be abstracted without breaking aromaticity, and one that has previously been proposed to adsorb onto oxygen vacancies on reducible metal oxide surfaces <ref type="bibr">[6,</ref><ref type="bibr">61]</ref>.</p><p>The presence of significant partial pressures of hydrogen in the gas phase in these literature reports leads to the cleavage of carbon-oxygen bonds, rendering plausible the possibility of oxygen vacancies being covered with phenoxide intermediates insusceptible to C-O bond cleavage in the absence of significant pressures of gas-phase hydrogen. We discuss next the effect of co-feeding phenol during anaerobic dehydrogenation of ethanol, and assess its effect from the standpoint of relative contributions from oxidative and nonoxidative routes in the presence of aand bhydrogen-free titrants. Co-feeding 0.27 kPa phenol (phenol:ethanol molar ratio 0.7) leads to acetaldehyde formation rates that decrease with time on stream (Fig. <ref type="figure">8a</ref>), in contrast with formation rates in the absence of phenol co-feeds that increase with time on stream due to increasing contributions from nonoxidative turnovers occurring over reduced surfaces under anaerobic conditions. Decreasing acetaldehyde formation rates that plateau at values corresponding to those measured in the absence of catalyst suggest a reduction in the density of sites responsible for catalytic nonoxidative dehydrogenation, but in and of itself neither exclude nor prove the prevalence of stoichiometric oxidative routes toward acetaldehyde formation. &#414; values in the absence of phenol co-feeds decrease with increasing degree of reduction (Figs. <ref type="figure">6</ref> and<ref type="figure">8b</ref>), suggesting increasing relative contributions of nonoxidative turnovers to measured acetaldehyde formation rates upon surface reduction. In contrast, &#414; values of unity in the presence of phenol persist through progressive surface reduction (Fig. <ref type="figure">8b</ref>), suggesting minor (if any) contributions from nonoxidative dehydrogenation, and that acetaldehyde formation in the presence of phenol co-feeds originates predominantly from the reduction half of the oxidative cycle. Greater variability in &#414; values close to complete reduction in Fig. <ref type="figure">8b</ref>  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>&#945;-H abstraction &#946;-H abstraction</head><p>Scheme 5. Hypothesized steps involved in ethanol dehydrogenation/dehydration over oxygen vacancies on ceria surfaces (top) and titration of oxygen vacancies using phenol resulting in the formation of persistent phenoxide intermediates (bottom). gas phase noncatalytic dehydrogenation that render rigorous deconvolution of oxidative and nonoxidative routes highly challenging under the conditions used in this study.</p><p>&#414; values in Fig. <ref type="figure">8b</ref> are consistent with the selective elimination of oxygen vacancies involved in effecting ethanol dehydrogenation upon co-feeding phenol, but do not conclusively demonstrate its effect on the total number of reduction half cycles. In Section 3.1 we described two methods for assessing vacancy density, one based on acetaldehyde and CO 2 formation rates (Eq. ( <ref type="formula">1</ref>)), and the other on water and CO 2 formation rates (Eq. ( <ref type="formula">2</ref>)), with Eq. ( <ref type="formula">2</ref>) providing plausible vacancy density values, and Eq. ( <ref type="formula">1</ref>) providing implausible ones that exceed those corresponding to complete surface reduction. The reason underlying overestimation of surface reduction when Eq. ( <ref type="formula">1</ref>) is used is the formation of acetaldehyde through both catalytic and stoichiometric routes, only a fraction of which can legitimately be used in the estimation of vacancy densities. If the possibility exists, however, of selectively eliminating catalytic routes to acetaldehyde formation, while still permitting the effectuation of stoichiometric routes, it can be envisioned that the use of Eq. (1) (acetaldehyde and CO 2 ) may also provide accurate vacancy density estimates analogous to those from Eq. (2) (CO 2 and water). Vacancy densities in the presence of phenol co-feeds calculated using Eqs. ( <ref type="formula">1</ref>) and (2) show identical trends as a function of time on stream, and plateau at values corresponding to complete surface reduction (Fig. <ref type="figure">9</ref>), consistent not only with the selective elimination of catalytic ethanol dehydrogenation but also with an imperceptible effect on the total number of stoichiometric partial and total oxidation events; unlike in the absence of phenol co-feeds, where only CO 2 and water are formed stoichiometrically, in the presence of phenol co-feeds, all products-acetaldehyde, water, and CO 2 produced through stoichiometric, not catalytic events. Additionally, insensitivity of vacancy density profiles to the presence of phenol (Fig. <ref type="figure">9</ref>) reem-phasize the negligible effect of phenol on the ability of the oxidized surface to effect partial oxidation-effects that would likely have been reflected in changes in the time scale of surface reduction.  As shown above, hydrogen pretreatments can be used to control the density of sites mediating nonoxidative turnovers before exposure to ethanol, and phenol co-feeds can be used to control site densities in the presence of ethanol. Next, we probe whether a fraction of the ceria surface can be reduced under hydrogen before exposure to ethanol, and the remaining fraction reduced under ethanol and phenol in the absence of catalytic dehydrogenation. Hydrogen pretreatment protocols similar to those described earlier in this section were used, and resulted consistently &#414; values in the vicinity of 1 (Fig. <ref type="figure">10</ref>), reemphasizing the negligibility of catalytic (dehydrogenative) contributions to measured acetaldehyde formation rates in the presence of phenol, regardless of initial degree of reduction. Additionally, the fraction of the ceria surface left unreduced after high-temperature hydrogen pretreatment is entirely reduced upon exposure to ethanol and phenol, as reflected by normalized vacancy densities approximating unity after the two steps regardless of prereduction temperature (Fig. <ref type="figure">11</ref>). These normalized vacancy density values are independent of the method used to track vacancy creation (acetaldehyde + CO 2 , Eq. ( <ref type="formula">1</ref>) or water + CO 2 , Eq. ( <ref type="formula">2</ref>)), suggesting that all three products-CO 2 , water, and acetaldehyde-are produced stoichiometrically, not catalytically, irrespective of initial vacancy density. The results point to the absence of dehydrogenative turnovers even when ceria surfaces that are significantly reduced (normalized vacancy density = 0-0.62) are exposed to ethanol and phenol, despite the initial prevalence of oxygen vacancies that allow the effectuation of these dehydrogenative turnovers, in contrast with results noted in the absence of phenol (Fig. <ref type="figure">7</ref>), where only products produced in stoichiometric events can be used in determining vacancy densities (Eq. ( <ref type="formula">2</ref>)). Both methods for calculating vacancy densities yield values that correspond to the number of surface oxygens available for abstracting hydrogen, reiterating the insensitivity of both the timescales and prevalence of oxidative half cycles to the presence of phenol (Fig. <ref type="figure">11</ref>). Increasing hydrogen pretreatment temperatures merely increase the fraction of sites titrated immediately upon exposure to ethanol-phenol mixtures, and decrease those that are titrated subsequent to acetaldehyde and/or CO 2 formation. The titration of these vacancies, independent of their provenance (reduction in H 2 or ethanol), points to the potentially broad utility of aand b-hydrogen-free titrants in the context of counting oxygen vacancies mediating catalytic turnovers over reducible metal oxides.  </p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.">Conclusions</head><p>Upon switching from aerobic to anaerobic conditions, high surface area ceria exhibits an evolution to a steady state rate reflective of nonoxidative dehydrogenation, rather than a negligible rate, as would be expected in the absence of non-MvK contributions to acetaldehyde formation. The same steady state rate can be accessed subsequent to an induction period under anaerobic conditions, the time scale of which matches that for oxygen removal from the surface. Water and CO 2 formation rates serve as rigorous descriptors of vacancy density, unlike acetaldehyde and CO 2 formation rates, which lead to implausibly high vacancy densities, pointing to the prevalence of both stoichiometric oxidative and catalytic dehydrogenative routes to acetaldehyde formation under anaerobic conditions. Normalized water molar flow rates that decrease monotonically from unity to zero evidence a greater propensity for reduced surfaces to effect dehydrogenative turnovers-a propensity that can just as effectively be accessed using high-temperature hydrogen pretreatments that create surface oxygen vacancies prior to exposure to ethanol. Active sites effecting catalytic nonoxidative ethanol dehydrogenation can be selectively titrated using phenol co-feeds, with imperceptible consequences on the prevalence and timescale of oxidative half cycles. Complete titration of oxygen vacancies can be accomplished in the presence of phenol co-feeds regardless of initial vacancy density-a fact reflected in the exclusive prevalence of oxidative routes in the presence of phenol, regardless of H 2 prereduction temperature. The combination of quantitative transient kinetic analyses used here is broadly applicable within the field of bulk oxide catalysis, and points to avenues for the water-free dehydrogenation of alkanols over reducible metal oxide surfaces.</p></div></body>
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