1. Introduction
One of the current problems of economic development is the achievement of clean and efficient production of electricity from renewable sources with minimal emissions of pollutants and carbon dioxide into the atmosphere. Solid oxide fuel cells (SOFCs) play an important role in achieving this goal and enable the transition from fossil fuels to other renewable energy sources. Materials based on zirconium dioxide are well-known solid electrolytes [
1,
2,
3] and are widely used as electrolytic membranes in solid oxide fuel cells [
4,
5]. Long-term exposure of electrolytic membranes to elevated operating temperatures can lead to changes in their functional characteristics. Aging processes in solid electrolytes, which manifest themselves in a change in their electrical conductivity during isothermal annealing, have been studied in solid solutions based on zirconium dioxide stabilized by oxides of various rare earth elements [
6,
7,
8,
9]. It has been shown that, in the general case, there are three independent reasons for the aging of solid electrolytes based on ZrO
2: decomposition of the solid solution with the formation of new phases; ordering of cations and oxygen in the crystal lattice of a solid solution; and change in electrical conductivity of grain boundaries. The processes of aging of solid electrolytes of zirconium dioxide stabilized by yttrium or scandium oxides have been studied in great detail. To a lesser extent, the long-term effect of temperature on solid solutions of zirconium dioxide stabilized by yttrium or scandium oxides and additionally doped with other oxides of rare earth or transition elements have been studied.
Yttria-stabilized zirconia (YSZ) is still widely used as a solid electrolyte. The aging of YSZ solid electrolytes was considered in [
10,
11,
12,
13,
14,
15,
16,
17]. When studying YSZ ceramic samples, it was noted that in addition to volumetric degradation, there is also a change in the resistance of grain boundaries, which, in combination with a change in bulk conductivity, affects the degradation of the total conductivity of solid solutions. The degradation in conductivity was observed to the greatest extent at a Y
2O
3 content of less than 9 mol%. It has been shown that the degree of degradation of the solid solutions decreases with an increase in the Y
2O
3 content, and no degradation has been observed at a Y
2O
3 concentration of ≥10 mol%. In a number of cases, annealing of ceramic membranes at 1000 °C for 1000–5000 h led to an increase in the volume resistance at a constant intergrain resistance. For tetragonal solid solutions, a decrease in the electrical conductivity of ceramic samples during such annealing occurred due to an increase in both intergrain and bulk resistance [
10]. The authors of this work came to the conclusion that the successive decrease in conductivity during thermal cycling up to 1000 °C is associated with the formation of a monoclinic phase at the grain boundaries. In many works, a significant decrease in the electrical conductivity of membranes has been noted at the initial stage of annealing, after which there are practically no changes in the electrical conductivity. Thus, the electrical conductivity of 8YSZ decreased from 0.16 to 0.11 S/cm during the first 1300 h of annealing, and then, up to 2700 h of annealing, no further decrease in conductivity was observed [
16]. A similar characteristic of the change in the conductivity of 8YSZ samples upon annealing at 875 °C was noted in [
17]. Such a change in the electrical conductivity of 8YSZ solid solutions during long-term high-temperature exposure was associated with the release of impurities at the grain boundaries.
Of the electrolytic membranes based on zirconium dioxide, ZrO
2–Sc
2O
3 (ScSZ) solid solutions have the highest conductivity; therefore, much attention has been paid to the study of the processes of high-temperature degradation of the conductivity of these materials [
16,
18,
19]. It was shown that annealing at 1000 °C for 6000 h of 8ScSZ ceramic samples with a cubic fluorite structure led to a significant degradation in conductivity, while no change in conductivity was observed for rhombohedral samples of 11ScSZ and 12ScSZ [
18]. However, membranes containing a rhombohedral phase are subject to a martensitic cubic ↔ rhombohedral phase transition at ~550 °C, leading to a change in the volume of the material, which can cause the destruction of the electrolytic cell.
In order to improve the long-term stability of the phase composition and transport characteristics of solid electrolytes based on zirconium dioxide, additional doping is often used. As a rule, yttrium oxide or oxides of other rare earth elements are introduced into zirconium dioxide stabilized by scandium oxide, which has a high oxygen ion conductivity. The study of the aging of such ceramic materials has been carried out in a number of works [
13,
16,
19,
20].
The aging of ceramic samples of the Y
2O
3–Sc
2O
3–ZrO
2 system with total scandium and yttrium oxide concentrations of 8 mol% and 9 mol% was studied in [
8,
9], respectively. For these compositions, a decrease in the electrical conductivity was observed upon prolonged exposure for 1700 h at a temperature of 1000 °C. The authors explained this change in conductivity by the redistribution of Y
2O
3 in the sample, which led to the precipitation of the tetragonal ZrO
2 phase in the bulk of the cubic matrix.
In [
20], a study was made of the long-term conductivity stability of ceramic samples of ZrO
2–Sc
2O
3 solid solutions additionally doped with 1 mol% Yb
2O
3 at a temperature of 600 °C under oxidizing and reducing conditions. After 2000 h of exposure to air and under reducing conditions, the decrease in the conductivity of the samples was 9.0 and 12.0%, respectively. It was shown that during the annealing process, the volume resistance of the grains remained almost stable, while the intergrain resistance contributed to an increase in the total resistivity in both atmospheres.
Thus, for ternary systems based on zirconium dioxide, the difficulty in determining the mechanisms of aging is associated both with the uncertainty of the phase boundaries in the phase diagrams and with the separation of the contributions to the overall degradation of the solid electrolyte from the degradation of bulk conductivity and conductivity at grain boundaries.
In this work, the process of aging of the anionic conductivity of membranes of solid solutions of zirconium dioxide stabilized by scandium oxide and ytterbium oxide at a temperature of 1123 K with exothermic exposure for 4800 h was studied. The stability of the phase composition and specific conductivity of the single-crystal membranes were estimated as a function of the concentration of Yb2O3.
3. Results and Discussion
The study of high-temperature conductivity degradation was carried out on single-crystal membranes of two compositions with a total concentration of stabilizing oxides (Sc
2O
3 + Yb
2O
3) equal to 10 mol%: (ZrO
2)
0.90(Sc
2O
3)
0.09(Yb
2O
3)
0.01 and (ZrO
2)
0.89(Sc
2O
3)
0.09(Yb
2O
3)
0.02, hereinafter denoted as 9Sc1YbSZ and 8Sc2YbSZ, respectively. For comparison, previously published data on (ZrO
2)
0.9(Sc
2O
3)
0.1(10ScSZ) crystals are also given [
26]. Such a comparison seems to be correct because these crystals were obtained using the same technology (directional crystallization of the melt) from identical starting materials in the same temperature and time technological regimes.
All the crystals had a columnar shape after growth, which is typical for this method of growth. The 10ScSZ crystals were visually inhomogeneous in volume and opalescent. The substitution of even 1 mol% Sc2O3 for Yb2O3 (9Sc1YbSZ) led to homogeneous transparent crystals. The 8Sc2YbSZ crystals did not differ in appearance from the 9Sc1YbSZ crystals.
An X-ray diffraction study of the crystal structure showed that the 10ScSZ crystals were two-phase and contained cubic and rhombohedral phases, with the crystal lattice parameter of the cubic phase
a being 5.091 Å [
26]. The as-grown 9Sc1YbSZ and 8Sc2YbSZ crystals had cubic structures with parameters
a equal to 5.094 and 5.099 Å, respectively. Thus, the successive replacement of scandium oxide by ytterbium oxide in the series 10ScSZ → 9Sc1YbSZ → 8Sc2YbSZ leads to a monotonic increase in the lattice parameter
a, which indicates the complete solubility of ytterbium oxide with the formation of a solid solution. This dependence seems to be regular since the Sc
3+ ion (ionic radius 0.87 Å) is replaced by a larger Yb
3+ ion (ionic radius 0.985 Å).
The crystal structures of the samples were also studied by Raman spectroscopy.
Figure 2 shows the Raman spectra of the as-grown 9Sc1YbSZ and 8Sc2YbSZ crystals, as well as a 10ScSZ crystal. The spectra of the 9Sc1YbSZ and 8Sc2YbSZ crystals were similar and had a band at 480 cm
−1, which is characteristic of the tetragonal t″ phase [
27]. The Raman spectrum of 10ScSZ crystals contains bands corresponding to a mixture of rhombohedral and tetragonal t″ phases [
26]. Thus, the results obtained by X-ray diffraction and Raman spectroscopy confirm previously published data on the positive effect of the addition of Yb
2O
3 on the stabilization of the cubic (pseudocubic t″) phase [
19].
Figure 3 shows typical impedance spectra in Nyquist coordinates for single-crystal solid electrolyte membranes with compositions of 9Sc1YbSZ and 8Sc2YbSZ, measured at temperatures of 624 and 1123 K, respectively. In the presented impedance hodographs for the low-temperature range (624–723 K), two regions can be distinguished: a high-frequency region corresponding to the bulk impedance response of the sample under study and a low-frequency region corresponding to the electrode impedance of the electrode/electrolyte interface. The high-frequency region of the impedance spectrum (at frequencies above ~2 kHz) is an arc of a circle, with the center lying almost on the real resistance axis. The radius of this circular arc is R
b/2, where R
b corresponds to the volume resistance of the solid electrolyte membrane. To describe it, an equivalent electrical circuit (R
b-CPE
b) was used, which is a resistor (R
b) connected in parallel with a constant phase element (CPE
b). The value of the exponential index CPE
b was about 0.85–0.95. The low-frequency region of the impedance spectrum is almost a straight line at an angle close to 45° with respect to the real resistance axis. This indicates the occurrence of the process of linear semi-infinite diffusion, which is due to the slow kinetics of oxygen exchange at the electrode/electrolyte interface in the region of low temperatures.
With an increase in temperature, a decrease in the diameter of the circle is observed, and a smaller part of the high-frequency arc remains, while the low-frequency component of the impedance, which is responsible for the electrode reactions, tends toward the reversibility of the oxygen exchange at the interface. In the high-temperature range (>873 K), the impedance spectrum is a combination of an inductive “tail”, which manifests itself in the high-frequency region of the spectrum and corresponds to the inductive contribution from the supply wires, and a circular arc, which characterizes the reversible electrode processes at the electrode/electrolyte interface. In this case, the volume resistance of the electrolyte (Rb) can be calculated from the left-hand intersection of the impedance response arc with the real resistance axis. As an example, the figure shows the typical impedance spectra at 1123 K.
Figure 4 shows the temperature dependences of the conductivities of as-grown 9Sc1YbSZ, 8Sc2YbSZ, and 10ScSZ crystals in Arrhenius coordinates. The temperature dependence of the conductivity of a 10ScSZ crystal in the temperature range of 833–913 K exhibits a kink due to the rhombohedral–cubic polymorphic transition [
26]. When scandium oxide is replaced by ytterbium oxide (samples 9Sc1YbSZ and 8Sc2YbSZ), no such break is observed because, according to the Raman spectroscopy data, these crystals have the structure of a pseudocubic t″ phase. The temperature dependencies of the conductivities of the 9Sc1YbSZ and 8Sc2YbSZ samples have a noticeable curvature. A similar change in slope, previously observed in other ZrO
2–Sc
2O
3 systems, is associated with the destruction of local defect complexes at high temperatures [
28]. The values of the high-temperature electrical conductivity of the 10ScSZ, 9Sc1YbSZ, and 8Sc2YbSZ crystals were 0.224, 0.235, and 0.18 S/cm, respectively, at 1173 K. Thus, the substitution of 1 mol% Sc
2O
3 for Yb
2O
3 leads to the stabilization of the cubic (pseudocubic) phase without decreasing the high-temperature conductivity of the material. However, upon further substitution of Sc
2O
3 with Yb
2O
3, a decrease in conductivity was observed in the high-temperature region.
To carry out long-term conductivity measurements, samples with platinum electrodes placed in a tubular resistance furnace were heated to a temperature of 1123 K. Further, periodic measurements of conductivity were carried out in-situ with an interval of 24 to 48 h. Then, the sample was cooled to 623 K, and repeated studies of electrical conductivity were carried out in the temperature range of 623–1173 K.
Figure 5 shows the changes in the specific conductivities of the 9Sc1YbSZ and 8Sc2YbSZ electrolytic membranes during aging at 1123 K.
As can be seen from
Figure 5, after 4800 h of exposure at 1123 K, the conductivity of the 9Sc1YbSZ electrolytic membrane changed from the initial value from 0.180 to 0.172 S/cm, which corresponds to a degradation degree of 4%. The nature of the change in the conductivity of the 8Sc2YbSZ sample differs sharply from the change in the conductivity of 9Sc1YbSZ. Thus, during the first 500 h of aging, there is a sharp decrease in electrical conductivity from 0.142 to 0.066 S/cm, which is 54% of the initial value. With further exposure of the sample at 1123 K, a gradual decrease in conductivity to a value of 0.06 S/cm is observed. Thus, the total drop in conductivity after holding at 1123 K for 4200 h was 58%.
Figure 6 shows impedance spectra for 9Sc1YbSZ and 8Sc2YbSZ single-crystal solid electrolyte membranes before and after aging, measured at 1123 K.
Figure 7 shows the temperature dependencies of the conductivities of the 9Sc1YbSZ and 8Sc2YbSZ membranes after aging.
As can be seen from the data presented in
Figure 7 for 9Sc1YbSZ membranes, the high-temperature conductivity values before and after aging are comparable, and a slight decrease in conductivity after aging for this composition is observable only in the low-temperature region (643–833 K). For 8Sc2YbSZ membranes, a decrease in conductivity was clearly seen after aging over the entire temperature range.
It is interesting to compare the obtained results with the previously published data on conductivity degradation in the Yb
2O
3-Sc
2O
3-ZrO
2 system. Thus, in 1Yb
2O
3-10Sc
2O
3-89ZrO
2 samples after annealing at 600 °C for 500 h, the drop in conductivity was <1% [
28]. At the same time, for the compositions xYb
2O
3-(12-x)Sc
2O
3-88ZrO
2 (0 ≤ x ≤ 5), after annealing at 600 °C for 550 h, the conductivity degradation was 17–26%, depending on the composition [
29]. An in-situ study of the degradation of the conductivity of ceramic samples xYb
2O
3-ySc
2O
3-(100-x-y)ZrO
2 (x = 0; 1; y = 8; 9 mol%) at 650 °C for 2000 h showed that the most significant decrease in the conductivity occurs in the first 650 h. After that, the rate of degradation dropped sharply. The maximum conductivity degradation (10–16%) after 2000 h of aging was observed for compositions with a total concentration of stabilizing oxides equal to 8 mol%. Compositions containing 9 mol% of stabilizing oxides were relatively stable (conductivity degradation was 3%) [
30]. Aging of (ZrO
2)
0.90(Sc
2O
3)
0.09(Yb
2O
3)
0.01 samples at 900 °C for 500 h led to a decrease in conductivity by 20% [
31]. A direct comparison of the obtained results with the literature data is not possible because the aging of the samples was carried out in different temperature–time regimes, the conductivity was measured at different temperatures, and the initial samples were synthesized under various technological regimes and may have different crystal structures, even with the same chemical compositions.
To establish the possible causes of the degradation of conductivity, the samples after aging were re-examined by X-ray diffraction and Raman spectroscopy.
In the diffraction pattern of the 9Sc1YbSZ sample after high-temperature exposure for 4800 h, reflections were present only from the cubic modification of ZrO
2, i.e., the 9Sc1YbSZ membranes retained their phase composition after aging. The lattice parameter of the cubic structure after aging did not change within the measurement error and was equal to 5.094 Å. In contrast to the 9Sc1YbSZ composition, a change in the phase composition was observed during the long-term high-temperature exposure of the 8Sc2YbSZ membranes; namely, the aging of the 8Sc2YbSZ samples led to a phase transformation of the initial cubic phase into a tetragonal (t′) phase (
Figure 8). The lattice parameters of the t′ phase were
a = 3.602 Å and
c = 5.116 Å, which corresponded to a degree of tetragonality (
c/√2
a) equal to 1.004.
The results of studying the phase composition of the membranes after aging using Raman spectroscopy were in good agreement with the X-ray diffraction data.
Figure 9 shows the Raman spectra of the 9Sc1YbSZ and 8Sc2YbSZ samples before and after aging.
As follows from the data presented in
Figure 9a, long-term high-temperature holding of 9Sc1YbSZ samples does not lead to noticeable changes in the crystal structure. The shift of the main lines in the Raman spectra before and after aging was no more than 5 cm
−1. Aging of the 8Sc2YbSZ membranes led to significant changes in the Raman spectra (
Figure 9b). After aging, the ~161 cm
−1 band shifted to a shorter wavelength region, 155 cm
−1, which may be due to a decrease in the O
I-Zr-O
I and Zr-O
I-Zr bond lengths. The mode with a frequency of 242 cm
−1 undergoes a softening during a long working life (an increase in the wave number up to 261 cm
−1), which corresponds to the vibrations of Zr-O
II. In the Raman spectrum after aging, the bands at 205, 362, and 585 cm
−1, corresponding to the cubic modification of ZrO
2, disappeared, and the bands at 261, 324, 609, and 643 cm
−1, corresponding to the tetragonal phase of ZrO
2, appeared. Separately, it is worth highlighting the change in the position of the ~488 cm
−1 band, which corresponds to the pseudocubic t″-phase in the as-grown single crystal. After long-term high-temperature exposure, this vibrational mode shifts to ~469 cm
−1, which corresponds to the tetragonal (t′) phase. Thus, during the aging of the single-crystal 8Sc2YbSZ membrane, the transformation of the pseudocubic t″ phase into the tetragonal t′ phase is observed.
As it was noted earlier, the initial membranes were single-crystal and transparent in the visible region of the spectrum.
Figure 10 shows the transmission spectra of 0.5 mm thick 9Sc1YbSZ and 8Sc2YbSZ membranes after long-term high-temperature exposure. As can be seen from the figure, after aging, a decrease in the transmission of the 8Sc2YbSZ sample relative to that of 9Sc1YbSZ is observed, which is especially obvious in the short-wavelength region of the spectrum. This type of transmission spectrum is characteristic of transparent ceramics, in which the decrease in transmission is caused by optical losses due to scattering at the pores and grain boundaries [
32]. We believe that the source of the observed optical losses in the 8Sc2YbSZ sample is light scattering at the boundaries of the twins of the tetragonal t′ phase. As was found earlier, twinning of the tetragonal phase is a characteristic feature of stabilized zirconia crystals grown by directional crystallization of the melt. However, such twinning does not affect the conductivity of the crystals [
33].
Thus, the analysis of the obtained data on the effect of long-term high-temperature exposure on the crystal structure and conductivity of the 9Sc1YbSZ and 8Sc2YbSZ single-crystal membranes allowed us to draw the following conclusions. After aging, the 9Sc1YbSZ samples retain their original pseudocubic structure of the t″ phase, which indicates effective stabilization of the crystal structure upon substitution of 1 mol% Sc2O3 for Yb2O3. Such phase stability, apparently, also leads to the stability of the conductivity after 4800 h of exposure at a temperature of 1123 K (the degradation of conductivity is no more than 4%). At the same time, aging of the 8Sc2YbSZ samples leads to significant changes in both the crystal structure and oxygen ionic conductivity. Long-term high-temperature holding of the 8Sc2YbSZ composition initiates the t″ → t′ phase transformation. In this case, a sharp decrease in conductivity was observed, amounting to 55%. The data obtained demonstrate a clear correlation between the specific conductivity and the change in the phase composition.