INTRODUCTION

Rare earth nickelates with a perovskite-like structure are promising materials for use as cathodes in fuel cells [113]. Unlike oxide systems based on other 3d-transition metals (for example, Co, Fe, Mn), rare earth nickelates formed in Ni-containing systems and belonging to the Ruddlesden–Popper homologous series Ln\(_{{n + 1}}\)NinO\(_{{3n + 1}}\) can be obtained in air without introducing acceptor-type substituents into the A-sublattice (for example, alkaline earth metal cations). Among other rare earth elements, praseodymium attracts particular attention, as it exhibits high catalytic activity in redox reactions involving oxygen. Partial replacement of nickel with cobalt in the B-sublattice leads to increased stability of oxides with the ABO3 perovskite structure, as well as an increase in electrical conductivity, electrochemical activity of oxides, and acceleration of oxygen exchange processes between the solid and gas phases [1425]. However, the available information on selected compositions with the simultaneous presence of nickel and cobalt in the resulting oxides with a perovskite-like structure does not provide a complete understanding of the phase equilibria in the PrOx–NiO–CoOx system. Another important parameter responsible for many functional properties is the oxygen content in the oxides. The available information concerning oxygen content in oxides in the aforementioned system is insufficient. Thus, the purpose of this work is to establish phase equilibria in the PrOx–NiO–CoO system at 1373 K in air and determine the oxygen content in the resulting phases.

Phase equilibria in the constituent binary oxide systems have been studied quite well earlier.

PrOx–CoOх system. The results of studying phase equilibria in the PrOx–CoOx system [2629] in a wide range of temperatures and oxygen pressures allow to conclude that only PrCoO3 with the orthorhombically distorted perovskite structure (a = 5.3390 Å, b = 5.3513 Å, c = 7.5762 Å, sp. gr. Pbnm [30]) is stable in air conditions, while other cobaltites Pr4Co3O10 and Pr2CoO4, belonging to the Ruddlesden-Popper homologous series, are stable at lower oxygen pressures.

PrOx–NiO system. The thermodynamic stability of nickelates is shifted towards higher oxygen pressures compared to cobalt-containing analogues. A single-phase oxide with a perovskite structure PrNiO3, is obtained only when using oxygen pressures increased relative to air [2, 3134], while phases with a Ruddlesden–Popper type structure, Pr2NiO4 and Pr4Ni3O10, can be obtained in an air conditions [3, 5, 7, 9, 1113, 2729, 35]. Synthesis of PrNiO3 at 973 K in air does not allow obtaining a single-phase product; the sample contained large amounts of unreacted initial oxides PrOx and NiO [36]. The difficulty of preparing single-phase PrNiO3 in air is associated with kinetic reasons, since its thermal stability at \({{P}_{{{{{\text{O}}}_{2}}}}}\) = 0.21 atm is limited by relatively low temperatures for solid-phase processes. The single-phase sample obtained at higher \({{P}_{{{{{\text{O}}}_{2}}}}}\) found to be stable in an air atmosphere up to 1223 K [2]. At approximately 873 K, PrNiO3 undergoes a reversible phase transition from a high-temperature rhombohedral cell (sp. gr. R‑3c) to a low-temperature orthorhombic cell (sp. gr. Pnma) [2]. When the temperature increased above 1223 K, at the first stage the decomposition products of PrNiO3 were NiO and Pr4Ni3O10, and above 1328 K, the latter, in turn, decomposed into Pr2NiO4 and NiO [2]. The stability of Pr2NiO4 at relatively low temperatures has also been the subject of researches [13, 37, 38]. The temperature of oxidative decomposition of Pr2NiO4 into Pr4Ni3O10 and PrOx in air lies in the range of 1123–1173 K.

CoO–NiO system. A continuous series of (Co,Ni)O solid solutions is formed in the CoO–NiO system at T > 1173 K in air [39].

PrOx–CoOx–NiO system. Several solid solutions in which cobalt and nickel are partially substituted for each other have been previously described. There is information about oxides with the perovskite structure PrCo\(_{{1 - x}}\)NixO\(_{{3 - \delta }}\) with nickel content x = 0.4 [24], x = 0.5 [16, 20], x = 0.6 [18], 0 ≤ x ≤ 0.7 [40], although not all works indicate the preparation conditions. On the side of nickelates with a Ruddlesden–Popper type structure, the oxides Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) with у = 0.3 [25, 41] and Pr2Ni\(_{{1 - y}}\)CoyO\(_{{4 + \delta }}\), with y = 0.1–0.2 [14, 15, 21, 22] have been described. The boundaries of the homogeneity ranges of existing solid solutions, which undoubtedly depend on temperature, have not been determined to date.

EXPERIMENTAL

The samples were synthesized using the glycerol-nitrate method. Praseodymium oxide Pr6O11, metallic cobalt Co, and crystalline nickel acetate hydrate Ni(CH3COO)2⋅4H2O were used as starting materials. To remove adsorbed moisture and gases, Pr6O11 was pre-calcined for 12 h at a temperature of 698 K; then it was removed from the heated furnace, cooled in a desiccator and weighed in closed beakers of known mass. The required masses of other components were calculated from the known mass of Pr6O11. Metallic cobalt was obtained by reduction of cobalt oxide Co3O4 in a hydrogen flow at 898 K. Weighed amounts of the starting components were dissolved in nitric acid when heated. An equimolar amount of glycerol was added to the resulting solution and heated until complete evaporation. The dry residue was slowly heated to 1373 K and kept at this temperature for 12 h. All subsequent anneals with intermediate grinding in ethyl alcohol after every 12 h were carried out at 1373 K. The total annealing time was 72 h. At the end of the annealing, the samples were quenched by abruptly removing them from the heated furnace onto a massive metal copper plate in air. The approximate cooling rate was 500 K/min.

The phase composition of the samples was controlled by XRD using an Inel Equinox 3000 and a Shimadzu XRD 7000 diffractometers in CuKα radiation. The structural parameters were refined using the Rietveld full-profile analysis method in the Fullprof program.

The melting points of samples in the PrOx–CoO system were determined by visual polythermal analysis using a platinum/platinum-rhodium thermocouple (PP-1).

The change in oxygen content in the samples with varying temperature was determined by thermogravimetric analysis using a STA 409 PC thermal analyzer. The absolute value of oxygen content was determined by the direct reduction of samples using a mixture of gases (90% H2 + 10% N2) at 1373 K in a TG cell to Pr2O3 and metallic Co and Ni. The completeness of reduction at the end of the experiment was monitored by XRD.

RESULTS AND DISCUSSION

Phase Diagrams of the PrOx–CoOх and PrOx–NiO Systems

Although phase equilibria in the binary systems have been the subject of numerous studies, phase diagrams of these systems in air have not been presented previously. Based on our experimental data on the melting temperatures in the PrOx–CoO system together with the results of homogenizing annealing at various temperatures and the available scattered literature data on the thermal stability of intermediate phases in air: PrCoO3 [2630, 40], PrNiO3 [2, 10, 32, 36], Pr4Ni3O10 [3, 9, 35, 41, 42], and Pr2NiO4 [57, 10, 13, 37, 38], we constructed phase diagrams of the PrOx–CoOх and PrOx–NiO systems in the “T–composition” coordinates in air (Figs. 1 and 2). The relative mole fraction of the metallic component is a traditional way of expressing concentration in systems where cations can reveal different oxidation states in coexisting phases at fixed T and/or \({{P}_{{{{{\text{O}}}_{2}}}}}\). The oxygen content in the condensed phases cannot be calculated from the diagram, but is assigned in accordance with its real value.

Fig. 1.
figure 1

Phase diagram of the PrOx–CoOx system in air.

Fig. 2.
figure 2

Phase diagram of the PrOx–NiO system in air.

The crystal structure of PrCoO3 quenched from 1373 K to room temperature was indexed in an orthorhombic cell sp. gr. Pbnm with unit cell parameters: a = 5.3775(1) Å, b = 5.3439(1) Å, c = 7.5773(2) Å, which is in good agreement with the data available in the literature [40]. The only thermodynamically stable oxide at 1373 K in the PrOx–NiO system is Pr2NiO4, which crystallizes in an orthorhombic structure (sp. gr. Fmmm) with the unit cell parameters: a = 5.3976(1) Å, b = 5.4527(1) Å, c = 12.4397(1) Å. After annealing at 1373 K in air the samples which overall composition corresponded to PrNiO3 and Pr4Ni3O10, were mixtures of two phases: Pr2NiO4 and NiO. Annealing of Pr2NiO4 in air at T ≥ 1123 K indicates its oxidative decomposition into Pr4Ni3O10 and PrOx [13, 3738].

PrCo\(_{{1 - x}}\)NixO3 Solid Solutions

XRD of samples with nominal composition PrCo\(_{{1 - x}}\)NixO3 in the range 0 ≤ x ≤ 0.5 (∆x = 0.05), quenched from 1373 K to room temperature, confirmed the formation of single-phase solid solutions in the composition range 0 ≤ x ≤ 0.4. The structural parameters of the solid solutions are listed in Table 1. Starting from x = 0.45, lines of impurity phases such as Ruddlesden–Popper type with n = 3 and NiO were detected in the XRD patterns.

Table 1.   Structural parameters of the PrCo\(_{{1-x}}\)NixO3 solid solution

The oxygen content in all the obtained solid solutions is close to stoichiometric and practically does not change when the temperature is varied from room temperature to 1373 K, which corresponds to the oxidation state of 3+ for cobalt and nickel ions and is in good agreement with the results obtained in other works [40, 43, 44]. Practically linear increase in the unit cell parameters with increasing nickel content (Fig. 3) suggests that cobalt is in a low-spin state r(\({\text{Co}}_{{{\text{VI}}}}^{{3 + }}\), LS) = 0.545 Å, r(\({\text{Co}}_{{{\text{VI}}}}^{{3 + }}\), HS) = 0.61 Å, r(\({\text{Ni}}_{{{\text{VI}}}}^{{3 + }}\), LS) = 0.56 Å, r(\({\text{Ni}}_{{{\text{VI}}}}^{{3 + }}\), HS) = 0.6 Å [45].

Fig. 3.
figure 3

Unit cell parameters of PrCo\(_{{1 - x}}\)NixO3 at various nickel content (x).

Examples of XRD patterns for the samples whose composition lies outside the homogeneity range are shown in Fig. 4. It should be noted that at a high nickel content (x = 0.9), the perovskite phase is no longer formed, and the coexisting phases are a Ruddlesden–Popper type solid solution with n = 3, Pr2NiO4, and NiO.

Fig. 4.
figure 4

XRD patterns of multi-phase samples with nominal composition PrCo\(_{{1 - x}}\)NixO3 at various x values.

Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) Solid Solutions

Although the decomposition temperature of Pr4Ni3O10 in air is estimated to be approximately 1323 K, partial replacement of nickel by cobalt leads to stabilization of the Ruddlesden–Popper type structure with n = 3 at 1373 K. According to the XRD results of quenched samples, single-phase Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) solid solutions were obtained in the composition range 0.7 ≤ y ≤ 1.5. A lower cobalt content in the solid solution (y = 0.3) was achieved by the authors of [25, 41] by using lower annealing temperatures (T = 1223 K). All obtained solid solutions have a monoclinic structure (sp. gr. P121/c1), similar to that reported in the literature for unsubstituted praseodymium nickelate Pr4Ni3O10 [42] and a solid solution with y = 0.3 [41]. Studying the effect of temperature on the crystal structure of a solid solution with у = 0.3, the authors of [25] found that at T > 873 K the monoclinic phase begins to gradually transform into a tetragonal phase (sp. gr. I4/mmm), and both phases coexist in a fairly wide temperature range (923–1173 K). Without sufficient grounds to talk about the reasons for this behavior, of which there may be several, Berger et al. [25] chose not to discuss them.

The oxygen content in Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) (Table 2), similar to solid solutions with a perovskite structure, is also not very different from the stoichiometric one, and its change with temperature is also not too large. Table 2 also shows the average oxidation states of 3d metals (z).

Table 2.   Oxygen content and average oxidation states of 3d metal ions (z) in Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) (y = 0.7, 0.9, 1.1, 1.2, 1.4) at 298 and 1373 K

It is obvious that with the simultaneous presence of Co and Ni in the oxide, cobalt ions will predominantly be in the Co3+ state, while nickel ions will tend to lower their oxidation state to Ni2+. Taking this fact and the oxygen content into account, the formulas of solid solutions were presented as follows:

298 K

1373 K

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{0.98}}^{{2 + }}{\text{Ni}}_{{1.32}}^{{3 + }}{\text{Co}}_{{0.7}}^{{3 + }}{{{\text{O}}}_{{10.01}}}\),

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.14}}^{{2 + }}{\text{Ni}}_{{1.16}}^{{3 + }}{\text{Co}}_{{0.7}}^{{3 + }}{{{\text{O}}}_{{9.93}}}\),

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{0.94}}^{{2 + }}{\text{Ni}}_{{1.16}}^{{3 + }}{\text{Co}}_{{0.9}}^{{3 + }}{{{\text{O}}}_{{10.03}}},\)

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.04}}^{{2 + }}{\text{Ni}}_{{1.06}}^{{3 + }}{\text{Co}}_{{0.9}}^{{3 + }}{{{\text{O}}}_{{9.98}}},\)

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{0.98}}^{{2 + }}{\text{Ni}}_{{0.92}}^{{3 + }}{\text{Co}}_{{1.1}}^{{3 + }}{{{\text{O}}}_{{10.01}}}\),

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.06}}^{{2 + }}{\text{Ni}}_{{0.84}}^{{3 + }}{\text{Co}}_{{1.1}}^{{3 + }}{{{\text{O}}}_{{9.97}}},\)

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{0.92}}^{{2 + }}{\text{Ni}}_{{0.88}}^{{3 + }}{\text{Co}}_{{1.2}}^{{3 + }}{{{\text{O}}}_{{10.04}}},\)

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.00}}^{{2 + }}{\text{Ni}}_{{08}}^{{3 + }}{\text{Co}}_{{1.2}}^{{3 + }}{{{\text{O}}}_{{10.00}}},\)

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.02}}^{{2 + }}{\text{Ni}}_{{0.58}}^{{3 + }}{\text{Co}}_{{1.4}}^{{3 + }}{{{\text{O}}}_{{9.99}}}\),

\({\text{P}}{{{\text{r}}}_{4}}{\text{Ni}}_{{1.1}}^{{2 + }}{\text{Ni}}_{{0.5}}^{{3 + }}{\text{Co}}_{{1.4}}^{{3 + }}{{{\text{O}}}_{{9.95}}}\).

The crystal structure of oxides of the homologous Ruddlesden–Popper series with n = 3 (А4В3О10) is an alternation of three perovskite blocks (ABO3) and a layer of rock salt (AO) along the c axis. According to the crystallographic approach of the sum of valence bonds method, the distribution of doubly and triply charged cations with simultaneous presence in the oxide is as follows: the former will stay in the center of octahedra located between two layers of perovskite, and the latter—in octahedra located near the rock salt layer. Thus, it should be assumed that Ni2+ ions, which content is approximately 1/3 of the total number of cations in B-sites, are located in the “internal” octahedra of the perovskite block. The remaining part of the nickel ions, with a predominant oxidation state of 3+, and Co3+ ions are located in the perovskite layers adjacent to the rock salt (AO) layer. The amounts of Ni3+ and Co3+ ions in these layers are comparable. Since phases with a Ruddlesden–Popper type structure in the PrOx–CoO system are not stable in air (in rare earth and cobalt oxides, the latter, under the studied conditions, tends to take Co3+ state and, therefore, form the perovskite structure LnCo3+O3), an increase in the content of ions cobalt in layers near the rock salt layer becomes thermodynamically unfavorable. Further introduction of cobalt into the system leads to separation, and along with the “cobalt-saturated” boundary solution Pr4Ni1.5Co1.5O\(_{{10-\delta }}\), two more phases are formed: PrCo\(_{{1 - x}}\)NixO3 perovskite and PrOx. Thus, the gradual replacement of nickel with cobalt at the first stage stabilizes the А4В3О10-type structure due to the appearance of triply charged Co3+ ions, which, together with nickel ions, fill octahedrons near the rock salt layers. On the other hand, an increase in the proportion of cobalt ions makes it more advantageous to form a perovskite structure, which provides a higher degree of oxidation of 3d metals in the B sublattice. Similar observations about the determining role of the nature of 3d metals on the stability of certain perovskite-like phases and changes in phase equilibria in systems based on rare earth elements and 3d transition metals were reported earlier [46].

Phase Diagram of the PrOx–CoO–NiO System at 1373 K in Air

An analysis of phase equilibria in the PrOx–CoO–NiO system at 1373 K in air was carried out based on the XRD results of 47 quenched samples. The phase diagram in the form of a Gibbs triangle is shown in Fig. 5. Here, as in quasi-binary systems, the composition is presented in terms of the relative mole fraction of metal components. The phase composition in the fields of phase diagram is presented in Table 3.

Fig. 5.
figure 5

Phase diagram of the PrOx–CoO–NiO system in air at 1373 K and \({{P}_{{{{{\text{O}}}_{2}}}}}\) = 0.21 atm.

Table 3.   Phase composition of fields in the phase diagram of the PrOx–CoO–NiO system at 1373 K in air

The composition of the PrCo\(_{{1 - x}}\)NixO3 solid solution, dividing it into a part coexisting with PrOx and a part coexisting with Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\), was determined from the unit cell parameters of the perovskite phase in samples from field II and the concentration dependence of the solid solution unit cell parameters (Fig. 3).

Attempts to partially replace nickel with cobalt in Pr2NiO\(_{{4 + \delta }}\) at 1373 K in air were unsuccessful. The phase composition of all studied samples corresponded to field III of the phase diagram (Fig. 5). It is likely that the preparation of such solutions with a noticeable content of cobalt Pr2Ni\(_{{1 - y}}\)CoyO\(_{{4 + \delta }}\) will be possible under more reducing conditions (high temperatures and/or lower \({{P}_{{{{{\text{O}}}_{2}}}}}\) values relative to air).

A comparison of the phase equilibria in the studied system and a similar one based on lanthanum 1/2La2O3–CoO–NiO [47] reveals a number of analogies, although there are some differences. The differences are associated with the stability of the Ruddlesden–Popper homologous series phases for different REEs. Three homologues are stable in the lanthanum-containing  system  at  1373  K  in  air: La2NiO4, La3Ni2O7, and La4Ni3O10 [4850], therefore, solid solutions with partial replacement of nickel by cobalt start from the 1/2La2O3–NiO side. As a result, the homogeneity ranges of such solid solutions are somewhat wider compared to the Pr-containing system: for La2Ni\(_{{1 - y}}\)CoyO\(_{{4 + \delta }}\) ymax = 0.1, for La4Ni\(_{{3 - y}}\)CoyO10 ymax = 1.8. Phase equilibria in the 1/2Sm2O3–CoO–NiO system [51] with smaller REE confirms the observed trend. The only stable intermediate phase in it is SmCo\(_{{1 - x}}\)NixO3 with a homogeneity range of 0 ≤ x ≤ 0.15 [51], while for LaCo\(_{{1 - x}}\)NixO3 it is 0 ≤ x ≤ 0.6 [47], and for PrCo\(_{{1 - x}}\)NixO3 it has an intermediate value (0.0 ≤ x ≤ 0.4).

CONCLUSIONS

Analysis of phase equilibria in the PrOx–CoO–NiO system at 1373 K in air showed the presence of two series of solid solutions: PrCo\(_{{1 - x}}\)NixO3 (0.0 ≤ x ≤ 0.4) with the structure of an orthorhombically distorted perovskite and Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) (0.7 ≤ y ≤ 1.5) with the Ruddlesden–Popper (n = 3) structure. There is no noticeable substitution of nickel for cobalt in praseodymium nickelate Pr2NiO\(_{{4 + \delta }}\) under these conditions. The obtained solid solutions are practically stoichiometric in oxygen. An increase in the unit cell parameters of PrCo\(_{{1 - x}}\)NixO3 with increasing nickel content may indirectly indicate that cobalt ions are in a low-spin state. In the Pr4Ni\(_{{3 - y}}\)CoyO\(_{{10 - \delta }}\) structure, Ni2+ ions are settled in octahedra located in the middle of the perovskite block, while Ni3+ and Co3+ are placed in octahedra adjacent to the rock salt layer.