Flux Growth and Characterization of Bulk InVO₄ Crystals

Abstract

The flux growth of InVO₄ bulk single crystals has been explored for the first time. The reported eutectic composition at a ratio of V₂O₅:InVO₄ = 1:1 could not be used as a self-flux since no sign of melting was observed up to 1100 °C. Crystals of InVO₄ of typical size 0.5 × 1 × 7 mm³ were obtained using copper pyrovanadate (Cu₂V₂O₇) as a flux, using Pt crucibles. X-ray powder diffraction confirmed the orthorhombic Cmcm structure. Rests of the flux material were observed on the sample surface, with occasional traces of Pt indicating some level of reaction with the crucible. X-ray absorption spectroscopy showed that oxidation states of indium and vanadium ions are +3 and +5, respectively. The size and high quality of the obtained InVO₄ crystals makes them excellent candidates for further study of their physical properties.

1. Introduction

Among orthovanadates with the formula M³⁺VO₄ (M³⁺ = In, Fe, Cr, Ti), the InVO₄ compound possesses promising electrochemical and photocatalytic properties for a wide range of commercial applications, e.g., as material for photovoltaic cells for solar energy utilization due to the vanadium 3d band, lying below the analogous d band of other transition metals in the energy spectrum, thus decreasing the band gap; as a photocatalyst, inducing decomposition of water molecules under visible light irradiation; or as an electrode material for lithium-ion batteries.

Several different crystal structures have been reported for InVO₄, depending on the synthesis method, heat treatment conditions, and external pressure. At ambient pressure, the following phases can be obtained: a monoclinic phase InVO₄-I with a α-MnMoO₄-type structure (space group C12/m1) [1], an orthorhombic phase InVO₄-III with a CrVO₄-type structure (space group Cmcm) [2], and the phase InVO₄-II with undetermined structure [3]. At high pressure, two other phases of InVO₄ have been reported recently: InVO₄-V with a characteristic wolframite-type structure (space group P12/c) and InVO₄-IV with an unknown structure, coexisting with phases InVO₄-III and InVO₄-V in the narrow range of pressure between 6.2 GPa and 7.2 GPa [4]. The phase transformation InVO₄-III→InVO₄-V from the orthorhombic CrVO₄-type to the monoclinic wolframite-type structure occurs at a pressure of around 8 GPa and is accompanied by a large volume decrease of 16.6% and a change in coordination number for vanadium atoms from 4 for InVO₄-III to 6 for InVO₄-V [5,6]. These structural transformations trigger a color change of the material and a sudden decrease of the electrical resistivity, related to a band-gap collapse of nearly 1.5 eV [6,7]. Additionally, according to [8], compounds like InVO₄ with six-coordinated vanadium ion may show maximum efficiency for the splitting of water molecules under the visible light. A high-pressure study of the indium vanadate material can provide insights into some physical properties, e.g., dielectric function, refractive index, and absorption spectra, as well as their practical applications; but so far, such studies have only been performed on polycrystalline samples [4,7]. It is commonly recognized that single crystals provide the best performances compared to polycrystalline samples, and one can expect improved characteristics in single crystals of InVO₄ compared to previously published for polycrystalline samples. The search for the publication, dealing with the single crystal growth of InVO₄ compound, appeared very surprising for authors. Only one paper, where single crystals with dimensions 0.1 × 0.1 × 0.3 mm³ were obtained, was found [2]. Thus, obtaining an InVO₄ bulk single crystal is rather complicated due to the incongruent melting of the indium vanadate [3]. On the other hand, the availability of InVO₄ single crystals should help avoid extrinsic effects due to grain boundaries and reach better hydrostatic conditions for the high-pressure study. Authors were encouraged to find a suitable growth technique for obtaining bulk single crystals of indium vanadate. In the presented work, authors report the successful growth of single crystals of orthorhombic InVO₄ with size 0.5 × 1 × 7 mm³ and the characterization of their ambient pressure properties, preparative to a further high-pressure study.

2. Materials and Methods

2.1. Determination of Flux Composition

The InVO₄ compound melts incongruently at 1134 °C, according to the phase diagram of the system In₂O₃–V₂O₅ [3]. Thus, single crystals of this material cannot be obtained by direct crystallization from a melt of the stoichiometric composition, where the molar ratio of precursor oxides (In₂O₃ and V₂O₅) is 1:1. In [2], tiny single crystals of InVO₄ (0.1 × 0.1 × 0.3 mm³) were obtained from a mixture of initial oxides In₂O₃ and V₂O₅ via slow cooling of the mixture from a temperature of 1300 °C to the room temperature. An additional challenge is the sublimation of In₂O₃ in air above 1100 °C [9,10]. Flux growth is a promising approach but requires finding a suitable flux material; i.e., a material with a melting point lower than that of InVO₄ (1134 °C), that does not lead to incorporation of flux ions into the InVO₄ structure, and does not react with or dissolve the crucible material: a melting point of flux well below 1000 °C should help avoid the loss of In₂O₃ during growth.

In order to avoid chemical contamination with other ions, the use of a self-flux containing In₂O₃ and V₂O₅ was first explored. Since a low-temperature eutectic with a melting point of 678 °C was reported at a ratio of V₂O₅:InVO₄ = 1:1 in the In₂O₃–V₂O₅ binary system [3], this composition appeared as a natural flux candidate. However, preliminary experiments for V₂O₅:InVO₄ in a 1:1 molar ratio, realized in the optical high-temperature microscope [11], failed to show any melting even up to temperatures around 1100 °C. Therefore, the phase diagram for the In₂O₃–V₂O₅ binary system in [3] requires revision and additional investigations.

Copper pyrovanadate Cu₂V₂O₇ with vanadium ions in a +5 oxidation state was tested next as flux material. This compound melts congruently at around 785 °C, well below 1000 °C, and around 350 °C lower than the melting point of InVO₄. Although the close values for the ionic radii of In³⁺ and Cu²⁺ for octahedral oxygen coordination (0.76 Å and 0.71 Å, respectively) suggest the possibility of Cu substitution for In in InVO₄, the different oxidation state of the ions can help prevent it. Besides, according to the ternary phase diagram CuO–In₂O₃–V₂O₅ [12] in the subsolidus region for the compositions with the content of CuO lower than 50 mol.%, only 4 compounds were detected: copper vanadates (Cu₂V₂O₇ and CuV₂O₆), indium vanadate (InVO₄), and vanadium oxide (V₂O₅).

2.2. Single Crystal Growth

In₂O₃ (Sigma Aldrich Corp., St. Louis, MO, USA), V₂O₅, and CuO (Alfa Aesar by Thermo Fisher Scientific GmbH, Hennigsdorf, Germany) with purity not less than 4N were used as starting materials. A mixture was made according to the weight ratio of components InVO₄:Cu₂V₂O₇ (flux) = 1:4. The mixing of oxides was carried out in an agate mortar with ethanol. After mixing, the mixture was dried and placed in a crucible. The flux growth was realized according to the following procedure. The mixture was heated up to 950 °C with a rate of 150 °C/h with further dwelling at this temperature for 12 h. After homogenization at 950 °C, the melt was slowly cooled down to 800 °C at a rate of 2.5 °C/h, and dwelled at this temperature for 12 h to promote crystallization. After the second dwelling, the molten flux was decanted. The temperature for the homogenization of melt was chosen such that it was above the melting point of the flux (785 °C) and below the point (1100 °C) at which significant intensification of the sublimation of In₂O₃ was detected [9,10].

The first experiment was carried out in an Al₂O₃-crucible. After finishing the experiment, authors noticed that melt not only reacted with the crucible (Figure 1a), but also attacked the plates placed below it (Figure 1b) in the furnace.

Thus, the Al₂O₃-crucible is not suitable for the flux growth of InVO₄ single crystals with Cu₂V₂O₇ as a flux. As well, crucibles made from stabilized zirconia oxide cannot be used for the flux growth due to high probability of being destroying after rapid cooling. Thus, a Pt-crucible was chosen for carrying out the flux growth of InVO₄ crystals.

As a result, faceted and needle-like crystals have been obtained on the bottom of the crucible after decanting the flux, see Figure 2.

For the rare earth orthovanadates, grown by Cz-technique in the inert (Ar) atmosphere, the color of the crystals from yellowish to light brown was linked with the forming of coloration centers due to a change of the vanadium oxidation state from +5 to +4 and +3 [13,14]. Heat treatment of crystal samples in the air or in the oxygen atmosphere at the 1300 °C for 24 h led to elimination of these coloration centers. Thus, similarly to the rare earth orthovanadates, the heat-treatment of obtained InVO₄ crystals was realized in an oxygen atmosphere at 300 °C for 240 h to eliminate possible color centers in crystals. As it can be seen from Figure 3, the annealing did not lead to a change of the color. Thus, authors assume that black color is the characteristic color of an InVO₄ single crystal.

2.3. Sample Characterization

X-ray powder diffraction studies on crushed crystals were carried out using an automated powder HUBER diffractometer with Cu Kα1 radiation (Bragg–Brentano geometry, 2θ range from 4° to 100°, step-scanning mode, Δ2θ = 0.005°, counting time of 10 s). The Rietveld analysis [15] of the X-ray powder diffraction data was performed with a FullProf program package [16]. For the cell parameter refinement, the atomic positions and cell parameters from [3,17] were used.

Microphotographs of crystals were obtained on a Zeiss Axiocam 105 color microscope camera. Energy-dispersive X-ray analysis (EDX) was performed using an analytical scanning electron microscope Zeiss EVOMA15. The operating voltage was 30 kV. The Cu and V contents were determined using K- and L-lines; for the In-content, L-lines were used. Element analysis of single crystal samples of InVO₄ was realized on iCAP6500 DUO (Thermo Fisher Scientific GmbH, Hennigsdorf, Germany) by method of inductively coupled plasma with optical emission spectrometry (ICP-OES). Before the measurements, samples were dissolved in the mixture of the hydrochloric and hydrofluoric acids with the volume ratio HCl:HF = 8:1.

X-ray absorption near-edge spectroscopy was applied to determine the oxidation states of indium and vanadium in the InVO₄ single crystals, and to characterize the coordination environment of indium. The experiment was performed using the facilities of P64 beamline of DESY, Hamburg [18]. The monochromator was Si 311 for the In K-edge, and Si 111 for the V K-edge. The In K-edge region was scanned in both transmission and fluorescence yield modes, whereas the vanadium K-edge region was recorded in fluorescence mode only. Corresponding metallic foils were used for the monochromator energy calibration, and various vanadium oxides served as standards for the corresponding oxidation states. All data processing was conducted in the Demeter software package [19].

Diffuse reflectance spectrum has been measured in the range 200–2000 nm with Shimadzu MPC-3100 UV-vis-NIR spectrophotometer (Shimadzu Deutschland GmbH, Berlin, Germany) using an integrating sphere of a 60 mm diameter. A BaSO₄ compound was used as a reference. The InVO₄ sample was pestled and mixed with BaSO₄ powder.

3. Results and Discussion

3.1. Characterization with X-ray Powder Diffraction and EDX

The analysis of X-ray powder diffraction data (Figure 4) shows that the crystals are composed of orthorhombic InVO_4. Although the presence of a small amount of flux material was observed, no other phases were detected. In particular, no signature of the monoclinic phase of InVO₄ was detected, confirming previously published reports in which the monoclinic phase was found to progressively convert into the orthorhombic by annealing above 600 °C [3,20], and only the orthorhombic phase without traces of additional phases was obtained at temperatures about 800–1000 °C [2].

Thus, authors obtained crystals of orthorhombic InVO₄ at lower temperatures than was stated in [2]. Such a significant decrease of temperature (350 °C lower than reported in [2]) might lead to obtaining crystals without admixture phases. For instance, in [3], it was stated that for crystals obtained at temperatures higher than 1200 °C, alongside the main phase of InVO₄, admixture phases of V₂O₅ and In₂O₃ have been detected on the X-ray diffraction curves. The cell parameters for InVO₄ determined from our data are presented in

Table 1. Refinement data for InVO₄ and Cu₂V₂O₇.

Cu2V2O7	InVO4	Parameter
Fdd2 (#43) Cu2V2O7-type	Cmcm (#64) CrVO4-type	Space group, Prototype
8.3631(0)	5.7329(8)	a, Å
20.6495(6)	8.5010(8)	b, Å
6.4497(6)	6.5590(3)	c, Å
1113.837(0.000)	319.664(0.014)	V, Å3
114	73	Reflections measured
16.1	4.64	Weighted profile R-factor (Rwp)
6.76	1.94	Expected R factor (Rexp)
5.69	5.69	Goodness of fit (χ2)
2.87	97.13	Content in the sample, wt.%

.

Scanning electron microscopy images of the crystals in the BSE mode revealed the presence of some areas of different chemical composition, see Figure 5. EDX analysis showed that the darker areas in the images correspond to a small amount of the flux phase (Cu₂V₂O₇ with the content of elements according to the EDX analysis: Cu-21.3 at.%; V-22.7 at.%; O-56.0 at.%) on the surface of the crystals, consistent with results from X-ray powder diffraction. The composition of the main phase was consistent with InVO₄, with the content of elements according to the EDX analysis: In-17.2 at.%; V-16.6 at.%; O-66.2 at.%. Occasionally, tiny bright spots were observed where the presence of Pt was detected (less than 0.1 wt.%) (Figure 5c).

According to the ICP-OES results, the content of Pt in the single crystals is lower than 0.01 wt.% and Cu content is 5.13 wt.%. Such high Cu content can be explained by the high relative surface of the needle-like crystals used for the analysis. Noteworthy is that the Cu atom content was determined highly inhomogeneous in the crystal, proving its presence on the surface of the InVO₄ crystals only.

3.2. Characterization with XANES

The X-ray absorption spectra of the InVO₄ single crystal at the In and V K-edge regions are shown in Figure 6.

The In K-edge energy position was defined by applying the first derivative method [21]. No pre-edge features are observed, as In³⁺ has a completely occupied 4d-shell, and the main edge corresponds to the 1s→5p electronic transition. The edge energy E₀ of 27,939.9 eV for the In-foil was used for calibration [22]. The In K-edge energy position for InVO₄ at 27,942.5 eV is 2.6 eV higher than for metallic indium, since the effective core charge increases in In³⁺ compared to In⁰ with simultaneous rise of the binding energy of the core electrons (see Figure 7).

Note that various possibilities of estimating the element K-edge position are known in the literature; for example, the value at half of the normalized xµ(E) step. For InVO₄, it corresponds to about 27,940.1 eV, as demonstrated in Figure 6a, which agrees with the energy position reported in [23] for In₂O₃. This confirms a +3 oxidation state in our InVO₄ single crystals.

In the case of vanadium, the pre-edge feature, which corresponds to the 1s→3d electron transition, is observed. Its shape is known to be sharp, and its intensity is comparable with the intensity of the main edge 1s→4p transition for V⁵⁺ containing compounds [24]. Thus, the observed pre-edge feature for InVO₄ can be considered as a confirmation for the V⁵⁺ presence in InVO₄ single crystals, similarly to that observed previously in BiVO₄ [25]. It is considered that the position of the main edge depends linearly on the oxidation state of the ion, assuming a similar coordination number. Vanadium oxides perfectly follow this trend; however, the vanadium K-edge lays at a higher energy for InVO₄ compared to that for V₂O₅. The possible explanation for such an effect is the different coordination for vanadium ions: octahedral in V₂O₅, while in InVO₄ the coordination is tetrahedral. Therefore, summarizing obtained XANES results, authors can unequivocally conclude that vanadium is present in the oxidation state as V (+5) in InVO₄ single crystals.

3.3. EXAFS (Extended X-ray Absorption Fine Structure)

Based on the structural model of InVO₄ and high-quality XAS data obtained for the indium K-edge, we have determined the local structural surrounding for In-cations, based on photoelectron scattering on the nodes of the crystal lattice. For this, the absorption data were normalized, converted into a reciprocal k-space (k is a wavenumber per length unit, zero is set at the defined position of the absorption edge), followed by the Fourier-transformation into R-space as a k³-weighted data. Multiplying the EXAFS function χ(k) by kⁿ allows to amplify the oscillations, especially at higher k, since their intensity decays very fast with its increase [26]. The theoretical EXAFS function was calculated using the structural model of the InVO₄, and least square fitting is performed, allowing estimation of the interatomic distances within the first few coordination spheres of the absorbing atom. The procedure of fitting is automated and known as FEFF code [27] and implied in Demeter software [19]. The results of these calculations are shown in Figure 8.

The intense local maxima in the oscillations reflect the scattering of photoelectrons on the atoms belonging to the closest coordination spheres of indium. Since indium-oxygen tetrahedrons are distorted, two bonds of different lengths provide the first big, slightly asymmetric peak. The second peak is formed by the In–In scattering path, while the small shoulder at 3.4 Å can be attributed to the In–V distance. It is difficult to distinguish visually between the In–O3 and In–V oscillations; however, adding them both to the calculation model allows to realize a proper fit.

Table 2. Comparison of data for InVO₄ single crystal obtained based on Rietveld refinement and EXAFS calculations.

	EXAFS Calc.	Str. Model	Distance (in Å)
Rf = 0.036	2.11(4)	2.1184	In–O1(×4)
	2.22(6)	2.2219	In–O2 (×2)
	3.29(2)	3.2795	In–In
	3.53(9)	3.4985	In–V

shows the results of the calculations.

As one may see, the values obtained from the EXAFS fitting match well to the values from the structural model, proving a high quality of obtained InVO₄ single crystals. The quality of obtained InVO₄ crystals is sufficient for further X-ray diffraction study under high pressure, which are realized at pressure values up to 20 GPa with the application of diamonds with a 600 um culet and at a temperature from RT to 15 K.

3.4. UV-vis-NIR spectroscopy Absorption

In Figure 9a, a diffuse reflectance spectrum of the InVO₄ single crystal is shown.

As it can be seen from the spectrum, the InVO₄ single crystal possesses an intense absorption in the region from 200 to 600 nm, confirming previously published results for polycrystalline samples [28,29]. The InVO₄ single crystal shows an absorption in the visible light region, supporting the promising photocatalytic activity, determined previously for the polycrystalline samples in [28,29].

Results for the transformation of the reflectance spectroscopic data by the Kubelka–Munk model are presented in Figure 9b. The transformation has been realized for the direct band gap [(F(R) × hν)²], where F(R) is the Kubelka–Munk equation, cm⁻¹ and hν is an energy, eV. Linear extrapolation of the data in the range from 3 eV to 4.5 eV gives the value of the direct band gap 2.3 eV. There is another linear area in the range from 2 eV to 3 eV on the Kubelka–Munk transformation curve (Figure 9b). Since this absorption is rather weak, it can be caused by the absorption of defect levels below the conduction band. It is noteworthy that for the indirect band-gap transformation [(F(R) × hν)^1/2], no linear areas have been observed on the curve.

It is also noteworthy that for the InVO₄ polycrystalline samples, obtained by solid-state synthesis, the band gap was detected at approx. 2 eV [28], and for the thin-films, at around 3 eV [30,31]. The value of approx. 3 eV was determined by theoretical calculations for InVO₄ [5,32]. These deviations in the values of determined band gaps might be caused by the different methods of the band-gap determination. For instance, in [31], the band gap for InVO₄ has been determined by the Kubelka–Munk transformation of the optical absorption data for the indirect band gap (3.2 eV), contrary to our data of the direct band gap (2.3 eV). According to [6,7], the drop of the band gap in InVO₄ under the high pressure is around 1.5 eV. Thus, this phenomenon can lead to a pressure-driven metallization at pressures beyond those of the structure transformation.

4. Conclusions

Single crystals of InVO₄ of several mm in length have been grown by a flux-method technique using copper pyrovanadate as a flux (Cu₂V₂O₇). The crystals present the orthorhombic Cmcm phase and are pure, except for rests of the flux observed in both X-ray powder diffraction (<3 wt.%), EDX, and ICP-OES. The oxidation states of the indium and vanadium ions are found to be +3 and +5, respectively. EXAFS data are consistent with the used structural model. The determined direct band gap of InVO₄ single crystals is 2.3 eV.

The quality of obtained InVO₄ crystals is sufficient for further studies under high pressure, which are already in progress by the group led by Prof. Dr. J. Geck in TU Dresden, Germany.