Simon Ackermann1, Laurent Sauvin1, Roberto Castiglioni1, Jennifer L M Rupp2, Jonathan R Scheffe3, Aldo Steinfeld1. 1. Department of Mechanical and Process Engineering, ETH Zürich , Sonneggstrasse 3, 8092 Zürich, Switzerland. 2. Department of Materials, ETH Zürich , Hönggerbergring 64, 8093 Zürich, Switzerland. 3. Department of Mechanical and Aerospace Engineering, University of Florida , Gainesville, Florida 32611 , United States.
Abstract
The kinetics of CO2 reduction over nonstoichimetric ceria, CeO2-δ, a material of high potential for thermochemical conversion of sunlight to fuel, has been investigated for a wide range of nonstoichiometries (0.02 ≤ δ ≤ 0.25), temperatures (693 ≤ T ≤ 1273 K), and CO2 concentrations (0.005 ≤ pCO2 ≤ 0.4 atm). Samples were reduced thermally at 1773 K to probe low nonstoichiometries (δ < 0.05) and chemically at lower temperatures in a H2 atmosphere to prevent particle sintering and probe the effect of higher nonstoichiometries (δ < 0.25). For extents greater than δ = 0.2, oxidation rates at a given nonstoichiometry are hindered for the duration of the reaction, presumably because of near-order changes, such as lattice compression, as confirmed via Raman Spectroscopy. Importantly, this behavior is reversible and oxidation rates are not affected at lower δ. Following thermal reduction at very low δ, however, oxidation rates are an order of magnitude slower than those of chemically reduced samples, and rates monotonically increase with the initial nonstoichiometry (up to δ = 0.05). This dependence may be attributed to the formation of stable defect complexes formed between oxygen vacancies and polarons. When the same experiments are performed with 10 mol % Gd3+ doped ceria, in which defect complexes are less prevalent than in pure ceria, this dependence is not observed.
The kinetics of CO2 reduction over nonstoichimetric ceria, CeO2-δ, a material of high potential for thermochemical conversion of sunlight to fuel, has been investigated for a wide range of nonstoichiometries (0.02 ≤ δ ≤ 0.25), temperatures (693 ≤ T ≤ 1273 K), and CO2 concentrations (0.005 ≤ pCO2 ≤ 0.4 atm). Samples were reduced thermally at 1773 K to probe low nonstoichiometries (δ < 0.05) and chemically at lower temperatures in a H2 atmosphere to prevent particle sintering and probe the effect of higher nonstoichiometries (δ < 0.25). For extents greater than δ = 0.2, oxidation rates at a given nonstoichiometry are hindered for the duration of the reaction, presumably because of near-order changes, such as lattice compression, as confirmed via Raman Spectroscopy. Importantly, this behavior is reversible and oxidation rates are not affected at lower δ. Following thermal reduction at very low δ, however, oxidation rates are an order of magnitude slower than those of chemically reduced samples, and rates monotonically increase with the initial nonstoichiometry (up to δ = 0.05). This dependence may be attributed to the formation of stable defect complexes formed between oxygen vacancies and polarons. When the same experiments are performed with 10 mol % Gd3+ doped ceria, in which defect complexes are less prevalent than in pure ceria, this dependence is not observed.
Conversion
and storage of sunlight into renewable fuels using ceria-based
solar thermochemical redox cycles has gained considerable interest
in recent years.[1−8] Ceria and its solid solutions are promising redox materials because
of their ability to show high oxygen storage and release capacities,[9−11] fast redox kinetics,[12−14] single-phase stability at elevated temperatures,
and high nonstoichiometries[15,16] and abundant existence
in Earth’s ore deposits.[17] Two-step
thermochemical redox cycling comprises (1) an endothermic reduction
of ceria driven by concentrated solar energy at elevated temperatures
(Tred > 1673 K) and low oxygen partial
pressures and (2) an exothermic oxidation of reduced ceria by splitting
H2O and CO2 into H2 and CO (syngas)
at lower temperatures (T < Tred).[14,18−20] If desired, syngas can further be processed to liquid fuels with
well-developed catalytic conversion procedures, viz. by Fischer–Tropsch
process.[21]In general, solar-to-fuel
energy conversion efficiency relies on
the oxygen storage and release capacity, the radiative heat absorptivity,
and kinetics of ceria toward CO2. Various studies have
investigated reduction and oxidation kinetics of pure and doped ceria
solid solutions.[5,13,14,22−25] Using the weight relaxation methodology,
Ackermann et al.[23] determined ambipolar
diffusion coefficients of pure ceria pellets at high temperatures
(T < 1773 K). Based on the results, reduction
reaction times less than 10 s are estimated for bulk diffusion length
scales of 0.4 mm and less. Because of such rapid reaction rates and
relatively small characteristic diffusion lengths, reduction within
solar reactors is most likely limited by the heating rate rather than
chemical kinetics. Such behavior has also been observed experimentally.[3,4] Oxidation rates, in contrast, are shown to be primarily dictated
by the chemical kinetics of splitting CO2 and H2O. For example, Gopal and Haile[13] used
an electrical conductivity relaxation technique for determination
of bulk oxygen diffusivity within Sm-doped ceria and reported 40 times
larger surface reaction rate constants for splitting CO2 compared to H2O. Chueh et al.[14] examined activation energies and determined the average fuel production
rates (H2O/CO2 = 2:1) by measuring temporal
downstream gas concentrations for nonstoichiometric porous Sm-doped
ceria placed in a packed bed reactor. In contrast to Gopal and Haile,[13] H2 production rates were generally
higher compared to CO production rates, and a lower activation energy
for dissociation of H2O was observed compared to CO2. Furler et al.[5] reported an increase
in CO2 splitting rates when surface area is increased by
using structures containing micrometer-sized interconnected pores.
Similar observations were confirmed by Venstrom et al.[25] and Petkovich et al.[24] with structures consisting of three-dimensionally ordered and interconnected
submicrometer-sized pores. Additionally, Furler et al.[5] showed decreasing rates with increasing temperature beyond
1000 K because of a strong influence of the backward reaction with
product gas CO. Sørensen[26,27] reported changes in
oxidation rates and characteristic activation energies with CO2 for different subphases formed at high reduction extents
by using quasi-isothermal thermogravimetry at very low oxygen partial
pressures (pO < 10–10 atm). To date, such phase changes have not been
considered for thermochemical fuel conversion applications.In summary, there is a general consensus that oxidation rates are
limited by the specific surface area, whereas reduction rates are
typically limited by the rate of heat transfer because of rapid ambipolar
diffusion at such elevated temperatures. Despite the promising proof-of-principles
in applying the material in a reactor and initial kinetics studies,
investigation of the splitting kinetics and associated near-order
atomistic changes for the oxide require further attention. Other than
the work by Sørensen,[26,27] there is little work
that has investigated the effect of nonstoichiometry on oxidation
rates, yet this data is critical for the design of solar reactors.
Therefore, within the framework of this investigation, we elucidate
CO2 reduction rates over nonstoichiometric ceria for fine
powder and sintered pellets, a very broad range of temperatures and
CO2 concentrations, and a large variation of nonstoichiometries.
To gain insight into morphology, structure, and chemistry with respect
to nonstoichiometry and CO2 reactivity, scanning electron
microscopy (SEM), Raman spectroscopy, and thermogravimetry are utilized.
Experimental Section
Sample Fabrication
Ceria samples
with different length scales were used, namely, fine powder (Sigma-Aldrich,
<5 μm, 99.9% trace metals basis) and sintered pellets made
from the same powder or 10 mol % Gd doped ceria (Sigma-Aldrich, 5–10
nm, Ce0.9Gd0.1O1.95). The pellets
have a diameter and thickness of 8.8 mm and 1.5 mm, respectively,
and were uniaxially cold pressed at 8 tons. The pellets were sintered
for 5 h at 1873 K under atmospheric conditions resulting in a porosity
<0.05. The grain size was 20–50 μm and 3–10
μm for the undoped and Gd-doped ceria pellets, respectively.
The mass of the ceria pellets and powder samples were ∼600
mg and 25–100 mg, respectively.
Thermogravimetric
Analysis
Isothermal
oxidation experiments were conducted using a thermogravimetric analysis
instrument (TGA, NETZSCH STA 409 CD). The ceria sample was reduced
at elevated temperatures and then cooled at a rate of −20 K/min
to the desired oxidation temperature followed by isothermal oxidation
with CO2. Two different methods were applied to reduce
ceria: (1) thermal reduction at 1773 K at low oxygen partial pressure
∼10–4 atm (pellets) and (2) chemical reduction
at 1373 K enhanced with pH = 0.02 atm (powder and pellets) to prevent sintering. From the absolute
sample mass, ms, and temporal weight loss,
Δm(t), nonstoichiometry, δ(t), was calculated as shown in eq 1.where MCeO and MO are the molar mass of ceria
and oxygen, respectively. The nonstoichiometry right before starting
oxidation with CO2 is denoted as the initial nonstoichiometry,
δi, as schematically shown in Figure 1. It is changed by varying reduction temperature, reduction
duration, and gas flow composition (low pO or pH = 0.02
atm). Rate of CO production was evaluated at constant nonstoichiometry,
denoted as δeval, which represents an averaged value
for the sample according to eq 1, and is necessarily
smaller than δi (see Figure 1). Buoyancy effects were corrected with blank experiments using equivalent
masses of inert zirconium(IV) oxide powder (Sigma-Aldrich, 5 μm,
99% trace metals basis). Additionally, ceria powder oxidation rates
were corrected for rate contributions from small oxygen levels present
in the system.
Figure 1
Rate of CO production was evaluated at constant nonstoichiometries,
δeval, for oxidations that start from different initial
nonstoichiometries, δi, where δi = f(Tred, t, pO, pH).
Rate of CO production was evaluated at constant nonstoichiometries,
δeval, for oxidations that start from different initial
nonstoichiometries, δi, where δi = f(Tred, t, pO, pH).
Analytical Analysis
A Hitachi TM-1000
and Zeiss Supra VP55 SEM instrument were used to optically characterize
the samples. Raman spectroscopy was performed using a WITec CRM200
confocal Raman microscope. The spectra were generated with an excitation
wavelength of 532 nm by taking the average of three repetitions with
an integration time of 20 s.
Results
and Discussion
TGA: Ceria Powder
Initial oxidation
experiments were performed to examine external mass-transfer limitations.
All samples described in this section were reduced for 30 min at 1373
K with pH = 0.02 atm in argon
at a total volumetric flow rate of 320 mL min–1,
leading to an average δi of 0.1. Figure 2 shows δ versus time during oxidation for
two different powder masses, 26.8 mg (white triangles) and 54.6 mg
(black circles) for different temperatures and CO2 concentrations.
From the visual similarity of the weight relaxation curves, external
mass-transfer limitations are excluded at these operation conditions.
Figure 2
Isothermal
weight relaxation curves of ceria oxidation for two
different sample masses of 26.8 mg (white triangles) and 54.6 mg (black
circles) at different temperatures and CO2 concentrations.
Isothermal
weight relaxation curves of ceria oxidation for two
different sample masses of 26.8 mg (white triangles) and 54.6 mg (black
circles) at different temperatures and CO2 concentrations.Figure 3a shows relative mass changes as
a function of time during oxidation for various temperatures ranging
from 693 to 773 K and a constant pCO (0.02 atm). In general, oxidation rates increase with increasing
temperature, and the oxidation time decreases from 25 to 3 min. At
higher temperatures where the reaction is more rapid, however, external
mass-transfer limitations and/or the onset of the reverse reaction
is eventually observed. As seen in Figure 3b for T > 783 K, rates are less dependent on
temperature
and eventually decrease with increasing temperature. For example,
oxidation rates between 793 and 853 K are nearly identical with an
oxidation time of ∼2 min. Further kinetic analysis of the powder
samples is limited to temperatures below 773 K where these limitations
are not observed.
Figure 3
Isothermal oxidation of ceria powder between (a) 693 and
773 K
with pCO = 0.02 atm and (b)
793 and 853 K with pCO = 0.02
atm.
Isothermal oxidation of ceria powder between (a) 693 and
773 K
with pCO = 0.02 atm and (b)
793 and 853 K with pCO = 0.02
atm.Additional experiments were conducted
for pCO = 0.005, 0.01, and
0.04 atm, as well as for
mixtures of ceria powder and inert zirconia powder with mass loadings
(mCeO/ms) of 50%, 75%, or 100% for pCO = 0.02 atm. In Figure 4, the natural
logarithm of CO production rates (rCO)
evaluated at δeval = 0.04 is shown versus inverse
temperature. rCO increases with increasing
temperature and CO2 concentration as expected (see least-squares
fitted trend lines). There is little dependence on the inert particle
mass, giving us further confidence that data are not limited by external
mass transfer.
Figure 4
Rates of CO production over oxidizing ceria powder plotted
as a
function of the inverse temperature for different CO2 concentrations
at a constant nonstoichiometry. Orange circles and blue diamonds are
results from ceria powder mixed with inert zirconia powder with a
ceria mass loading of 75 and 50%, respectively.
Rates of CO production over oxidizing ceria powder plotted
as a
function of the inverse temperature for different CO2 concentrations
at a constant nonstoichiometry. Orange circles and blue diamonds are
results from ceria powder mixed with inert zirconia powder with a
ceria mass loading of 75 and 50%, respectively.Activation energy, EA, was extracted
using a simplified rate equation for a more detailed analysis of data.
The simplified kinetic rate expression for the case of CO2 reduction over nonstoichiometric ceria, rCO, was defined as the product of the reaction rate constant, k(T), the reaction mechanism, f(δ), and the CO2 concentration, CCO, with reaction order, n, as shown in eq 2.[28]The CO2 concentration is related to the pCO through the following relationship:For constant composition, the slope of the
natural logarithm of k·f as a function of inverse
temperature yields the
activation energy of the reaction. Figure 5a shows natural logarithm of k·f as a function
of inverse temperature for several pCO data sets at δeval = 0.015 and 0.06 calculated
from rate data according to eqs 2 and 3. The data confirms Arrhenius type dependency and
shows no dependency on CO2 concentration for n ≈ 0.45 (numerically determined through a least-squares minimization).
It should be noted that the function used to describe the reaction
mechanism has no bearing on the determination of activation energy
because it is evaluated at constant composition.
Figure 5
(a)
Arrhenius plot of oxidizing ceria powder for several CO2 concentrations at constant nonstoichiometries; (b) activation
energy of oxidizing ceria powder as a function of nonstoichiometry
(see Figure 4 for legend).
Figure 5b shows EA, extracted
from the data sets presented in Figure 4, as
a function of δeval. In general, EA stays almost constant over all δeval for lower pCO values,
with a mean value of ∼145 kJ mol–1. For pCO = 0.04, EA increases with increasing δeval from 155
to 190 kJ mol–1. One may hypothesize that in this
case, where reactions are most rapid, there is insufficient heat dissipation
leading to increased activation energy, in accordance with ref (5). In effect, measured temperatures
are probably lower than those observed locally. An additional measurement
error is related to the small mass changes due to oxidation in comparison
to the natural drifts of the system with time. Furler et al.[5] reported activation energies from 90 up to 136
kJ mol–1 for pure ceria at δeval = 0.015. However, oxidation rates were determined from highly porous
structures and may be partly affected by pore diffusion limitations
resulting in a lower apparent activation energy.[29,30](a)
Arrhenius plot of oxidizing ceria powder for several CO2 concentrations at constant nonstoichiometries; (b) activation
energy of oxidizing ceria powder as a function of nonstoichiometry
(see Figure 4 for legend).
TGA: Ceria Pellet
Chemical
Reduction
To investigate
oxidation behavior for T > 783 K, isothermal weight
relaxation experiments were conducted with dense ceria pellets where
oxidation rates were much slower than for the particles. Experimental
errors associated with small mass changes during oxidation could be
suppressed because substantially larger sample masses were utilized.
Initially, pellets were reduced to different nonstoichiometries and
subsequently oxidized at different temperatures. Figure 6a shows rCO (δeval = 0.04) in log space as a function of inverse temperature (913 ≤ T ≤ 1053 K, pCO = 0.2 atm, δeval = 0.04) for four different
initial nonstoichiometries, namely, δi = 0.07, 0.154,
0.19, and 0.214. Interestingly, rates were strongly dependent on the
initial nonstoichiometry, increasing by orders of magnitude with decreasing
δi for the lowest temperatures. At higher temperatures
the effect was suppressed. Here there is not a linear increase of
rates with increasing temperature, as was observed for lower temperatures,
presumably because of the onset of the reverse reaction. Figure 6b shows the same data presented in Figure 6a, but as a function of δi for
varying temperature. Here, the transition in rates at high nonstoichiometries
is more easily observed.
Figure 6
CO production rates for pCO = 0.2 atm evaluated at δeval = 0.04: (a) as a function
of inverse temperature for several δi; (b) as a function
of δi for several temperatures.
CO production rates for pCO = 0.2 atm evaluated at δeval = 0.04: (a) as a function
of inverse temperature for several δi; (b) as a function
of δi for several temperatures.Such behavior may be based on a phase change and is a typical
explanation
for a sudden transition in a physical property of solid oxides. Normally,
ceria is assumed to be a single-phase material for the purpose of
thermochemical applications; however, several changes in local near
order have been reported.[27,31−33] For example, Bevan and Kordis[31] used
sudden changes in thermodynamic properties of ceria to construct a
phase diagram between temperatures of 909 and 1442 K and δ between
0 and 0.5. Subphase changes have also been hypothesized by Sorenson[27] to explain sudden changes in the slope of partial
Gibbs free energies at high nonstoichiometries. Several ordered intermediate
phases were proposed within the ά-phase region, each
consisting of its own apparent nonstoichiometric single phase. In
fact, the rate transition region shown in Figure 6b is found to be very close to a phase boundary, as shown
in Figure 7. Here, the phase diagram of CeO2−δ, determined from specific heat measurements
reported by Riess and co-workers[32] with y = 2 – δ, is plotted alongside colored dots
representing the transition region extracted from Figure 6b at 943, 993, 1043, and 1093 K. Each point is shifted
slightly to lower δi, yet parallel to a phase boundary.
One explanation for a shift toward lower δ compared to the boundary
might be because the samples were not fully equilibrated. Thus, the
surface where the reaction with CO2 takes place might be
reduced to nonstoichiometries above the phase boundary, whereas some
of the bulk remains below. We do not believe the hindered rates are
due to carbonate formation because the mass balance between released
O2 and produced CO is shown to be closed in this work and
under similar reaction conditions in other works.[4,5] Additionally,
Li et al.[34] showed with Fourier transform
infrared spectroscopy that carbonates thermally desorb for T > 773 K. Furthermore, we saw no evidence of carbonate
formation from unreasonable mass changes observed during oxidation.
Figure 7
Phase
diagram of pure CeO2 determined from specific
heat measurements.[32,33] Colored points represent
initial nonstoichiometries of pellets where transition for drastic
decrease in CO production rate is observed with TGA measurements (see
Figure 6b).
Phase
diagram of pure CeO2 determined from specific
heat measurements.[32,33] Colored points represent
initial nonstoichiometries of pellets where transition for drastic
decrease in CO production rate is observed with TGA measurements (see
Figure 6b).Raman spectroscopy was employed to study the structural near-order
oxygen anionic–cationic changes for the ceria pellets with
respect to the oxygen nonstoichiometry. For this, we compare (i) a
freshly sintered oxidized pellet, (ii) two chemically reduced pellets
with different reduction durations at 1373 K using pH = 0.02 atm, and (iii) two thermally reduced
samples with different reduction durations at 1773 K at low oxygen
partial pressures as shown in Table 1. During
cooling, chemically and thermally reduced samples were held under
pure argon for 15 min at 993 and 1073 K, respectively. Chemical reduction
at 1373 K for 120 min resulted in δi ≈ 0.253,
which is clearly above the transition point of drastic decrease in
CO production rate (see Figure 6b).
Table 1
Experimental
Conditions and Initial
Nonstoichiometries of Ceria Pellets for Performing Raman Spectroscopy
of Surface
reduction
methodology
none
chemical pH2 = 0.02 atm
chemical pH2 = 0.02 atm
thermal pO2 ≪ 1 atm
thermal pO2 ≪ 1 atm
Tred (K)
–
1373
1373
1773
1773
duration (min)
–
0
120
5
180
δi (−)
0
0.128
0.253
0.034
0.057
For
a given cubic fluorite crystal structure such as in undoped
ceria, there is only a single characteristic cationic–anionic
stretching vibration mode with Raman activity, namely, the F2g triply degenerated Raman mode, which is viewed as a symmetric breathing
mode of the oxygen ions around each cerium cation in the lattice,
see refs (35−37) for details. This breathing mode
is sensitive to the “chemo-mechanic” property changes
such as oxygen nonstoichiometry–bond strength changes, namely,
the F2g mode shifts in wavenumber with respect to the nonstoichiometry
of the material.[38,39]Figure 8a
shows the normalized Raman intensity
as a function of wavelength for all samples. All spectra reveal a
strong and single vibration mode around 465 cm–1. No additional bands were detected, clearly confirming the single-phase
nature of the ceria independent of the oxygen nonstoichiometry over
the range of δi = 0–0.253. This main vibration
band is assigned to the symmetric oxygen anionic–cationic breathing
Raman F2g mode and is in accordance with earlier literature
references by McBride et al.,[35] Weber et
al.[37], and Rupp et al.[40] Extraction of the F2g peak position and full
width at half-maximum as a function of δi was obtained
through fitting data with a sixth-order polynomial function. Increasing
the oxygen nonstoichiometry lowers the F2g Raman peak position
by half a wavenumber from 465 cm–1 (δi ≈ 0) to 464.5 cm–1 (δi ≈ 0.253), Figure 8b. This trend
is accompanied by a broadening of full width at half-maximum with
increasing oxygen nonstoichiometry from Δω ≈ 7
to 9.5 cm–1 for δi ≈ 0 to
0.253, respectively, Figure 8c. Conventionally,
one would expect that with increasing oxygen nonstoichiometry and
lattice expansion of the ceria, the F2g signature peak
would shift up to higher wavenumbers and peak width would broaden
because of mixing of the band with second-order phonon scatter effects,
see McBride et al. for details.[35] In contrast,
we report a lowering of the F2g mode in its wavenumber
upon reduction of the ceria for the rather unusually high oxygen nonstoichiometries
of 0.253. This reflects an active compression of the oxygen anion–cation
near order and ceria lattice. In agreement with the ceria phase diagram,[32] this is close to the phase transition regime
of face-centered cubic cells with long-range defect–defect
interactions (α′-phase) to intermediate rhombohedral
cell structures (τ-phase).[27,31] At this stage,
the material may develop a phase instability that thermodynamically
benefits an increased association energy of the reduced Ce3+ ions (CeCe′) with oxygen vacancies (Vo••) to form dimer associates (CeCe′/Vo••). Very recently, Marrocchelli et al.[41] highlighted how changes in chemical expansion may significantly
alter lattice bond strength by atomic scale simulations in the ceria
system; for example, compressively straining the lattice can lead
to shifts in the association energies and thereby result in oxygen
anionic–cationic bond compression, in agreement with refs (38, and 42−44).
Figure 8
Raman spectroscopy
of ceria pellet surface reduced to different
δi: (a) single F2g peak at ω ≈
465 cm–1; (b) decreasing peak wavelength position
with increasing δi; (c) increasing full width at
half-maximum intensity with increasing δi.
Raman spectroscopy
of ceria pellet surface reduced to different
δi: (a) single F2g peak at ω ≈
465 cm–1; (b) decreasing peak wavelength position
with increasing δi; (c) increasing full width at
half-maximum intensity with increasing δi.
Thermal
Reduction
To study oxidation
behavior following thermal reduction, sintered ceria pellets were
thermally reduced at 1773 K and pO ≈ 2.5 × 10–4 atm for different
reduction times.[9] Compared to reduction
with H2, oxidation rates are shown to be around 1 order
of magnitude lower. These slower rates are attributed to the fact
that fewer small cracks are induced. This can be seen in Figure 9 where we show SEM pictures of the surface of the
thermally reduced pellet in the top panel (δi = 0.034)
and the chemically reduced in the bottom panel (δi = 0.128). We were not able to measure the Brunauer–Emmett–Teller
(BET) surface area without destroying their morphology and therefore
could not quantify the change in BET surface area induced by cracks.
Figure 9
SEM pictures
of (top panel) grain surface of a ceria pellet thermally
reduced to δi = 0.034 and (bottom panel) grain surface
of a ceria pellet chemically reduced to δi = 0.128.
SEM pictures
of (top panel) grain surface of a ceria pellet thermally
reduced to δi = 0.034 and (bottom panel) grain surface
of a ceria pellet chemically reduced to δi = 0.128.Figure 10a shows rCO in log space at δeval = 0.02 as a function
of inverse temperature for 973 ≤ T ≤
1273 K for CO2 concentrations ranging from 0.1 to 0.4 atm.
Increasing rates are observed with increasing CO2 concentration,
whereas a clear turnover of rCO with increasing
temperature is observed for all CO2 concentrations. Similar
behavior was observed after chemical reduction at these elevated temperatures,
and is likely due to a shift in the chemical equilibrium.[5] Increasing CO2 concentrations shift
the transition to higher temperatures because higher CO2 concentrations favor the forward reaction.
Figure 10
(a) CO production
rates at δeval = 0.02 for 973
≤ T ≤ 1273 K and 0.1 ≤ pCO ≤ 0.4 atm concentrations
for δi = 0.048; (b) increasing CO production
rate with increasing δi at T = 1073
K and pCO = 0.1 atm.
Oxidation rates
were also strongly dependent on the initial nonstoichiometry
and increased with δi over the range of nonstoichiometries
probed (δi < 0.06). This is shown in Figure 10b, in which the oxidation rates are shown at T = 1073 K for initial nonstoichiometries increasing from
0.031 to 0.052. For reference, the rate versus inverse temperature
is also shown for a single δi, extracted from Figure 10a. During chemical reduction in this reduction
range, there was no observable effect on oxidation rates. The rates
were affected only at higher δ, but in a contrasting way, that
is, rates increased with increasing initial nonstoichiometry.(a) CO production
rates at δeval = 0.02 for 973
≤ T ≤ 1273 K and 0.1 ≤ pCO ≤ 0.4 atm concentrations
for δi = 0.048; (b) increasing CO production
rate with increasing δi at T = 1073
K and pCO = 0.1 atm.lnrCO increases almost linearly with
δi for a range of operating conditions, as shown
in Figure 11. Here, rCO is shown in log space as a function of δi for δeval = 0.02, pCO = 0.1 and 0.2 atm, and T = 1123 and
1173 K. Rates at δi ≈ 0.055 are almost twice
as large as rates at δi ≈ 0.035. On the basis
of the Raman results and phase diagram discussed above, this behavior
is probably not due to near-order phase changes. One possible explanation
is an increase in charge-driven defect interactions caused by increasing
electron and vacancy concentrations. This would necessarily affect
the dominant transport processes occurring in the lattice. In an effort
to test this hypothesis, similar experiments were performed with a
10 mol % Gd doped ceria pellet that is expected to have less defect
interactions under the conditions investigated.[10,45−47] In fact, for Ce0.9Gd0.1O1.95−δ an ideal solution model accounting only
for doubly ionized oxygen vacancies and localized electrons on the
cerium lattice sites has been shown to be valid above 1073 K for δ
< 0.04.[46] In the case of pure ceria,
such a model is not applicable except in the case of very low nonstoichiometries
(δ < 0.01).[9,12,48] Results are also shown in Figure 11, and
in this case oxidation rates are mostly constant for δi < 0.04. Initial nonstoichiometries greater than δi = 0.04 were not possible in this system because of limitations in
the operating temperature and baseline oxygen level.
Figure 11
CO production rates
as a function of increasing initial nonstoichiometry
for different temperatures and CO2 concentrations for ceria
and 10 mol % Gd doped ceria.
CO production rates
as a function of increasing initial nonstoichiometry
for different temperatures and CO2 concentrations for ceria
and 10 mol % Gd doped ceria.Another possible
explanation for increased rates with nonstoichiometry
may be related to the increase in chemical expansion with increasing
δi.[11,41,49−51] Prior to reduction, the grain sizes within the pure
ceria pellet are larger (20–50 μm) compared to the grain
sizes of 10 mol % Gd doped ceria (3–10 μm), and no cracks
are visible (Figure 12a,c). However, following
reduction, cracks are formed within pure ceria grains (Figure 12b) which probably lead to an increased surface
area. No such small intragrain cracks can be observed on grain surface
of the reduced 10 mol % Gd doped ceria pellet, as shown in Figure 12d, probably because the small grains can accommodate
chemical expansion more easily than larger grains. However, there
is noticeable crack propagation across grains. Unfortunately, because
the same degree of crack propagation does not occur in Gd-doped ceria
as in pure ceria, it is not possible to point toward a likely explanation
for increasing oxidation rates with nonstoichiometry. Therefore, we
can only hypothesize that it is due to either increasing defect interactions
or increasing surface area caused by chemical expansion.
Figure 12
SEM images:
(a) grain surface of a stoichiometric pure ceria pellet;
(b) grain surface of pure ceria pellet reduced to δi = 0.034; (c) grain surface of a stoichiometric 10 mol % Gd doped
ceria pellet; and (d) grain surface of a stoichiometric 10 mol % Gd
doped ceria pellet reduced to δi = 0.03.
SEM images:
(a) grain surface of a stoichiometric pure ceria pellet;
(b) grain surface of pure ceria pellet reduced to δi = 0.034; (c) grain surface of a stoichiometric 10 mol % Gd doped
ceria pellet; and (d) grain surface of a stoichiometric 10 mol % Gd
doped ceria pellet reduced to δi = 0.03.
Conclusion
It is
shown that ceria oxidation rates are not only dependent on
temperature and CO2 concentration but also strongly dependent
on reduction extent and surface morphology of the sample. For sintered
ceria pellets reduced with H2 to extreme nonstoichiometries
(δ > 0.2), a transition toward very slow oxidation rates
is
observed. Specifically, as nonstoichiometry increased, the oxidation
rate for a fixed oxygen concentration (constant δ) decreased.
The nonstoichiometry where the transition occurs slightly increases
with temperature and agrees well with a near-order phase change reported
in literature. Results are further supported with Raman spectroscopy
results that indicate an active compression of the oxygen anion–cation
near order and ceria lattice in this region. For nonstoichiometries
<0.06, achieved during higher-temperature thermal reduction with
low oxygen partial pressure, the opposite behavior is observed, and
oxidation rates increase almost linearly with increasing nonstoichiometry
for pure ceria. We attribute this trend to one of two phenomena: (1)
the formation of defect clusters that affect bulk transport, primarily
because such behavior is not observed for 10 mol % Gd doped ceria
where defect interactions are known to be less prevalent or (2) slight
changes in morphology due to chemical expansion. While these results
shed new light on oxidation rates of ceria under a broad range of
operating conditions, further work is required to obtain more quantitative
information about the rates and their relationship to nonstoichiometry
so that they may ultimately be applied in system models to improve
overall performance. For example, it will be important to decouple
intrinsic reaction rates from any changes in subtle morphology during
reduction (i.e., expansion, crack propagation). Already, extensive
data exists describing the chemical and thermal expansion behavior
of these materials,[41,49,50,52,53] but it will
also be important to quantify how cracks propagate as a function of
grain size and nonstoichiometry.
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