Flux Crystal Growth, Crystal Structure, and Optical Properties of New Germanate Garnet Ce2CaMg2Ge3O12

A new germanate garnet compound, Ce₂CaMg₂Ge₃O₁₂, was synthesized via flux crystal growth. Truncated spherical, reddish-orange single crystals with a typical size of 0.1–0.3 mm were grown out of a BaCl₂-CaCl₂ melt. The single crystals were characterized by single-crystal X-ray diffraction analysis, which revealed that it adopted a cubic garnet-type structure with a = 12.5487(3) Å in the space group Ia−3d. Its composition is best described as A₃B₂C₃O₁₂, where Ce/Ca, Mg, and Ge occupied the A, B, and C sites, respectively. A UV–vis absorption spectroscopy measurement on the germanate garnet revealed a clear absorption edge corresponding to a band gap of 2.21 eV (λ = 561 nm). First-principle calculations indicated that the valence band maximum was composed of Ce 4f bands, whereas the conduction band minimum mainly consisted of Ce 5d bands. These findings explain the observed absorption edge through the Ce 4f → 5d absorption. Photoluminescence emission spectra exhibited a very broad peak centered at 600 nm, corresponding to transition from the lowest energy d level to the 4f levels.

Introduction

The garnet structure, having the general chemical formula {A}₃[B]₂(C)₃O₁₂, has been widely studied as a host material for various optical applications, such as laser amplifiers, color converters, scintillators, and cathode ray phosphors (Zhiguo and Meijerink, 2017). In particular, the Ce³⁺-doped Y₃Al₅O₁₂ garnet phosphor (YAG:Ce) is one of the most interesting materials in terms of practical application as a blue-to-yellow converter in white-emitting diodes. Although YAG:Ce exhibits good thermal and chemical stability and high luminescence efficiency, improvements to the low thermal quenching temperature and cool correlated color temperature remain significant issues (Bachmann et al., 2009; Shao et al., 2011; Ueda et al., 2015). In principle, the 5d−4f emission bands in Ce³⁺-doped phosphors are strongly influenced by the host lattice through crystal field splitting of the 5d levels of the Ce³⁺ ion. In the garnet host, there are three types of cation sites: the {A} site with 8-fold dodecahedral coordination, the [B] site with 6-fold octahedral coordination, and the (C) site with 4-fold tetrahedral coordination (Figure 1). The A site is typically occupied by rare-earth (RE) ions such as La³⁺, Gd³⁺, or Lu³⁺, as well as by Y³⁺, and by alkaline earth ions such as Ca²⁺. The B site is occupied by smaller ions that prefer octahedral coordination environments, such as Mg²⁺ Mn³⁺, Fe³⁺, Sc³⁺, Al³⁺, or Zr⁴⁺, while the C site accommodates ions that take on tetrahedral coordination, including Al³⁺, Ga³⁺, Si⁴⁺, or Ge⁴⁺ ions. The dodecahedral site, which the trivalent Ce³⁺ ion prefers to occupy, connects to the adjacent A, B, and C sites through common oxygen atoms via corner and edge sharing. Thus, the crystal field impinging on the Ce³⁺ ions is created not only by the A site cations but also the B and C site cations (Setlur et al., 2006; Muñoz-García and Seijo, 2010; Muñoz-García et al., 2010). Owing to the wide range of cations that can be accommodated by the garnet structure, new compositions of garnet phosphors that compensate for the above-mentioned shortcomings of YAG:Ce have been successfully synthesized.

FIGURE 1

Figure 1. (A) Crystal structure of the garnet compound A₃B₂C₃O₁₂ and (B) the local coordination environment around the metal cations. In Ce₂CaMg₂Ge₃O₁₂, Ce/Ca, Mg, and Ge atoms occupy the A, B, and C sites, respectively.

When considering the crystal chemistry of the garnet family, the ability of the cation sites, especially the A site, to accommodate different elements, is an important factor (Geller, 1967). A large number of garnet compounds have been previously reported (Tauber et al., 1958; Reinen, 1964; Lévy and Barbier, 1999; Zhiguo and Meijerink, 2017) but the variety of RE ions in the A site is typically limited to RE = Gd–Lu and Y, all smaller than the desirable Eu³⁺ cation, because incorporation of larger cation causes markedly unfavorable lattice distortions around the dodecahedral sites. To the best of our knowledge, only very few garnet compositions that include early RE ions larger than Gd³⁺ have been synthesized (via various techniques such as the sol-gel method and hydrothermal reaction), and include: Eu₃Al₅O₁₂ (Garskaite et al., 2007), RE₃Te₂Li₃O₁₂ (RE = Pr–Eu) (Kasper, 1969), RE₃W₂Li₃O₁₂ (RE = Pr, Nd) (Kasper, 1969), RE₃Fe₅O₁₂ (RE = Pr–Eu) (Dukhovskaya et al., 1973; Komori et al., 2009a,b; Guo et al., 2011), La₃Sc₂Ga₃O₁₂ (Malysa et al., 2018), RE₃Ga₅O₁₂ (RE = Pr–Eu) (Sawada, 1997; Sawada et al., 2016), Li₇La₃Zr₂O₁₂ (Awaka et al., 2009), and Li₅La₃Sb₂O₁₂ (Murugan et al., 2008). It is notable that even among these, achieving a garnet composition with Ce³⁺ fully occupying the A site is challenging; however, Ce³⁺ doping as high as 56 at.% with respect to Y³⁺ has been achieved in YFe₅O₁₂ via the glycothermal process (Rongjin et al., 2013).

In this study, we report the flux crystal growth of the new germanate oxide {Ce₂Ca}[Mg]₂(Ge)₃O₁₂, which crystalizes in the garnet structure in the space group Ia−3d with a = 12.5487(3) Å. The garnet phase was synthesized via the flux crystal growth method where truncated spherical, reddish-orange single crystals were obtained from a BaCl₂−CaCl₂ melt. High-temperature solid state reactions failed to yield the target phase, even as a polycrystalline powder, suggesting that the phase is metastable. Herein we discuss the crystal structure, electronic structure, and optical properties of Ce₂CaMg₂Ge₃O₁₂.

Experimental

Crystal Growth

Single crystals of Ce₂CaMg₂Ge₃O₁₂ were grown via the flux method using a eutectic BaCl₂−CaCl₂ mixture (Bugaris and zur Loye, 2012). For Ce₂CaMg₂Ge₃O₁₂, a magnesia crucible was loaded with 1 mmol CeO₂ (Aldrich, 4N), 1 mmol of GeO₂ (Rare Metallic, 4N), 1 mmol of S (High Purity Materials, 4N), 3.1 mmol of BaCl₂ (Rare Metallic, 3N), and 3.1 mmol of CaCl₂ (Rare Metallic, 3N). The top of the crucible was closed with a magnesia cap, and the crucible was sealed inside a silica tube under vacuum. As described later, the magnesia crucible was found to act as a magnesium source. The starting materials were heated in a box furnace to 900°C at 150°C/h, held for 25 h, cooled to 500°C at 5°C/h, and then allowed to cool naturally to room temperature. The products were washed in distilled water, aided by sonication, before the reddish-orange transparent truncated spherical crystals of Ce₂CaMg₂Ge₃O₁₂, together with pale-purple transparent crystals of CeOCl, were collected via vacuum filtration. The typical dimensions of the single crystals of the garnet compound were 0.3 × 0.3 × 0.3 mm³ (Figure 2). The structure of Ce₂CaMg₂Ge₃O₁₂ was determined by single-crystal X-ray diffraction analysis.

FIGURE 2

Figure 2. Photographs of single crystals of Ce₂CaMg₂Ge₃O₁₂ grown on the inner wall of a MgO crucible.

Ce₂CaMg₂Ge₃O₁₂ single crystals were obtained unintentionally because our original target system was germanium-containing oxysulfide. As described later, sulfur was not incorporated in the garnet structure, and no oxysulfide compounds could be obtained.

Single Crystal Structure Analysis

X-ray intensity data from an orange polyhedron were collected at 301(2) K using a Bruker D8 QUEST diffractometer equipped with a PHOTON 100 CMOS area detector and an Incoatec microfocus source (Mo Kα radiation, λ = 0.71073 Å) (Bruker AXS Inc., 2016). The data collection covered 100% of the reciprocal space to 2θ_max = 75.2°, with an average reflection redundancy of 35.3 and R_int = 0.064 after absorption correction. The raw area detector data frames were reduced and corrected for absorption effects using the SAINT+ and SADABS programs (Krause et al., 2015; Bruker AXS Inc., 2016). Final unit cell parameters were determined by least-squares refinement of 3812 reflections taken from the data set. An initial structural model was obtained with SHELXT (Sheldrick, 2015). Subsequent difference Fourier calculations and full-matrix least-squares refinement against F² were performed with SHELXL-2018 using the ShelXle interface (Hübschle et al., 2011).

Solid State Synthesis

The synthesis of polycrystalline powder samples of Ce₂CaMg₂Ge₃O₁₂ was attempted using CeO₂, CaCO₃ (or CaO), MgO, and GeO₂ in a stoichiometric ratio. The mixture was ground intimately, pelletized, and heated in a flowing N₂ or H₂ (20%)–Ar (80%) mixed gas atmosphere or in an evacuated sealed tube using a tubular furnace at temperatures ranging from 900 to 1,300°C.

XRD, UV-vis, PL, PLE, and Magnetic Measurements

Single crystals of Ce₂CaMg₂Ge₃O₁₂ were crushed with an agate mortar and pestle to obtain fine powders used for obtaining synchrotron X-ray powder diffraction (SXRD) patterns, UV–vis diffuse reflectance spectra, and photoluminescence (PL) and photoluminescence excitation (PLE) spectra. The products obtained via solid state reactions were examined at room temperature by powder XRD analysis using a Rigaku MiniFlex X-ray diffractometer (Cu Kα radiation) in the 2θ range of 5–65° with a step size of 0.04°. SXRD measurement was performed at room temperature using a one-dimensional detector installed on BL15XU, NIMS beamline at SPring-8 in Japan. The synchrotron radiation X-rays were monochromatized to a wavelength of 0.65298 Å. The Ce₂CaMg₂Ge₃O₁₂ powder sample was loaded into a 0.1-mm diameter glass capillary. The diffraction data were recorded in 0.003° increments over the range 2–60° and analyzed by Rietveld refinement using the program RIETAN-FP (Izumi and Momma, 2007). Diffuse reflectivity measurements were performed at room temperature using a Shimadzu UV-2600 spectrophotometer equipped with an ISR-2600Plus integration sphere. The diffuse reflectance data were internally converted to absorbance by the instrument using the Kubelka–Munk function. The PLE and emission spectra were recorded using a fluorescence spectrophotometer (Hitachi F-7000). The magnetic susceptibility of Ce₂CaMg₂Ge₃O₁₂ was measured using a SQUID magnetometer (Quantum Design, MPMS-XL). The crushed single crystals were measured at an applied magnetic field (H) of 1 kOe in the range of 10–300 K under both zero-field-cooled (ZFC) and field-cooled (FC) conditions.

First-Principles Calculations

First-principles total energy calculations of Ce₂CaMg₂Ge₃O₁₂ were performed using the projector augmented wave method (Blöchl, 1994; Kresse and Joubert, 1999) as implemented in the Vienna Ab-initio Simulation Package (VASP) (Kresse and Hafner, 1993; Kresse and Furthmüller, 1996a,b). In the present study, the cut-off energy for the plane wave basis was 550 eV. The exchange-correlation interaction potentials of electrons were handled within a framework of the generalized gradient approximation (GGA) of with the PBEsol type (Perdew et al., 2008). The configurations of the valence electrons of Ce, Ca, Mg, Ge and O were 5s² 5p⁶ 4f ¹ 5d¹ 6s², 3s² 3p⁶ 4s², 2p⁶ 3s², 3d¹⁰ 4s² 4p², and 2s² 2p⁴, respectively. Spin-polarized calculations were carried out. For Ce ions, the effect of the strong correlation interaction of the 4f orbital was treated based on the GGA+U method (Dudarev et al., 1998). The value of U was set to be 5.4 eV in this study (Jiang et al., 2009, 2012). Structure optimization calculations were carried out until the residual forces were <0.02 eV/Å.

Results and Discussion

Crystal Growth and Structure Determination

After washing the products inside the magnesia crucible with water to remove the solidified flux, we found that reddish-orange single crystals had grown on the inner wall of the tube (Figure 2) alongside with a plate-like pale-purple crystalline CeOCl byproduct. The EDS analysis of the reddish-orange crystals revealed the presence of Ce, Ca, Mg, and Ge in approximate atomic ratios of 1.9:1.0:2.1:2.6. The origin of the magnesium is the magnesia crucible that, apparently, was slightly dissolved by the flux during the reaction. Single-crystal X-ray diffraction analysis revealed that the product crystallized in the cubic system with a = 12.5479(4) Å. The space group Ia−3d (space group no. 230) was uniquely determined by the pattern of systematic absences in the intensity data and confirmed by structure solution. The product exhibits a garnet-type structure, wherein the asymmetric unit consists of one mixed Ce/Ca atomic site (Wyckoff site 24c), one Ge site (24d), one Mg site (16a), and one O site (96h). The composition of site 24c was determined by trial refinements of several models incorporating cationic elements determined by EDS to be present in the crystals (i.e., only Ce, Ca, Mg, and Ge). Modeling the site with mixed Ce/Ca occupancy resulted in the most reasonable model and is consistent with their similar ionic radii (${r_{\text{Ce}}}^{3+}$ = 1.143 Å, ${r_{\text{Ca}}}^{2+}$ = 0.97 Å) (Shannon, 1976) and their observed bond distances to O [2.427(4) and 2.547(4) Å, respectively]. To maintain overall charge balance, the Ce and Ca occupancies were fixed at 2/3 Ce and 1/3 Ca. Trial refinements with Ce and Ca occupancies constrained to sum to 1.0 but otherwise free to vary, refined closely to these values, supporting the decision to fix the occupancies at 2/3 Ce and 1/3 Ca. All atoms were refined with anisotropic displacement parameters. The final refined chemical composition was Ce₂CaMg₂Ge₃O₁₂, which is consistent with the result of the EDS analysis. The final R₁ and wR₂ converged to reasonable values of 3.83 and 5.51%, respectively. The goodness-of-fit value was 1.29. The incorporation of Ce³⁺ ions into the structure was consistent with the reddish-orange sample color. Details of the structure refinement are listed in Table 1. Atomic coordinates and atomic displacement parameters are listed in Table 2 and Supplementary Table 1, respectively. Selected bond distances and bond angles are compiled in Table 3.

TABLE 1

Table 1. Results of structural refinement of Ce₂CaMg₂Ge₃O₁₂ using single-crystal XRD data.

TABLE 2

Table 2. Atomic coordinates and equivalent isotropic displacement parameters U_eq for Ce₂CaMg₂Ge₃O₁₂ obtained from the structure refinement using single-crystal XRD data.

TABLE 3

Table 3. Selected interatomic distances and bond angles of Ce₂CaMg₂Ge₃O₁₂ at 301 K.

Figure 3 shows the room-temperature synchrotron X-ray diffraction pattern collected from a powder sample obtained by finely grinding hand-picked single crystals. The model determined by the single-crystal structure analysis was used for the Rietveld refinement. The calculated pattern well-reproduced the observed pattern as the fitting converged smoothly with reasonable reliability indexes, R_wp = 5.37, R_B = 3.45, and R_F = 2.92. The final refined crystallographic data, including the atomic coordinates and isotropic displacement parameters are listed in Supplementary Table 2. The results are consistent with the results obtained from the single-crystal structure analysis.

FIGURE 3

Figure 3. Observed (crosses), calculated (upper solid line), and difference (lower solid line) plots obtained from the Rietveld analysis of the room temperature synchrotron X-ray powder diffraction data collected using ground single crystals of Ce₂CaMg₂Ge₃O₁₂. Vertical lines represent expected Bragg peak positions.

Solid State Reaction

Synthesis of a polycrystalline sample of Ce₂CaMg₂Ge₃O₁₂ was attempted by solid-state reactions using a stoichiometric mixture of CeO₂, CaCO₃ (or CaO), MgO, and GeO₂. The reactions were carried out under vacuum, with mixed H₂(20%)-Ar(80%) gas or N₂ gas atmospheres at temperatures between 900 and 1,300°C. Unfortunately, none of the reaction conditions we examined yielded the target phase; but a substantial amount of unreacted CeO₂ always remained in the products (see Supplementary Figure 1). A garnet structure was obtained as a minor phase at 1,300°C in the N₂ gas atmosphere; however, the lattice parameter of the garnet phase was smaller by 0.5% compared with that for Ce₂CaMg₂Ge₃O₁₂ and the product was dark grayish-green. Therefore, if Ce atoms were incorporated into the lattice, the garnet phase obtained by solid state reaction should have a lower Ce concentration than that of Ce₂CaMg₂Ge₃O₁₂. Further heating at the same temperature after regrinding and pelletizing resulted in a partial decomposition of the garnet phase and an increase in the amount of CeO₂, suggesting that the garnet phase was metastable under these reaction conditions.

Stability of the Garnet Structure

As described earlier, the garnet structure can accommodate a wide range of elements in the three different cation sites, but the underlying stability of the garnet structure, including its tolerance for RE ions, is not yet well-understood. Our present germanate garnet exhibited an unusual occupancy of two-thirds of the A sites by Ce³⁺ ions, a Ce³⁺ concentration substantially higher than the 56 at.% Ce³⁺-doping concentration found in Y_1−xCe_xFe₅O₁₂ (x = 1.7) (Rongjin et al., 2013). Very recently, Song et al. have formulated the tolerance factor (τ) of the garnet structure (Song et al., 2019), which is analogous to the Goldschmidt tolerance factor describing the relationship of the chemical compositions and structural stability in perovskites (Goldschmidt, 1926). The τ of the garnet structure is expressed as

$\begin{array}{ll}\tau =\frac{3\sqrt{{(r_B+r_O)}^2+\frac{4}{9}{(r_A+r_O)}^2}}{2(r_C+r_O)}& (1)\end{array}$

where r_A, r_B, r_C, and r_O represent the ionic radii of the A, B, C site cations and O²⁻ ion, respectively. The tolerance factor calculated for more than 100 garnet compounds falls within the range of 0.75–1.33. For the formula RE₃B₂C₃O₁₂. (RE = La–Lu, Y; B = C= Fe, Al, Ga), the τ values systematically increase toward unity with decreasing size of the RE ions, e.g., 0.76–0.93 from La to Lu for RE₃Al₅O₁₂ and 0.89–1.02 for RE₃Fe₅O₁₂) (Song et al., 2019). This is consistent with the general trend observed for their structural stability when containing RE ions. The formula RE₂CaMg₂Ge₃O₁₂ (RE = La–Lu, Y), including hypothetical compositions, exhibits a similar size dependence of the tolerance factor, but the τ values range from 1.06 for La, through 1.07 for Ce, to 1.15 for Lu. The stabilization of Ce₂CaMg₂Ge₃O₁₂ with a τ value close to unity seems to be compatible with the geometric requirements for the garnet structure. However, a favorable tolerance factor does not assure the success of the target phase formation via chemical synthesis. In fact, the solid-state reactions we examined to obtain Ce₂CaMg₂Ge₃O₁₂ were not successful. At present, the reason for the large amount of Ce ions incorporated into the garnet lattice is unclear; however, it is likely that the molten salts used in this study play a crucial role in stabilizing the phase under the flux reaction conditions. From the PXRD data of the products obtained by solid state reactions, it is apparent that CeO₂ was not fully consumed in the reactions, indicating its low reactivity and slow atomic diffusion even at high temperatures. In the flux reaction, the BaCl₂−CaCl₂ salt likely dissolves CeO₂ powder at a relatively low temperature, where the fact that the starting materials are now in solution is expected to decrease considerably the activation energy for reaction between the starting materials and thus yield the target garnet phase. We surmise that the Ca-Cl melt at high temperatures under vacuum acts as a reducing agent for Ce ions, likely forming Cl₂. The formation of Ce³⁺ in the halide melt favors the stabilization of Ce₂CaMg₂Ge₃O₁₂ as well as of the byproduct CeOCl. Sulfur, which was a starting material for the flux reaction, was not found to significantly contribute to either the reduction of Ce ions nor to the formation of Ce₂CaMg₂Ge₃O₁₂. Performing the flux crystal growth in the absence of sulfur results in the same mixed product formation.

Optical and Magnetic Properties

Figure 4A shows the UV–vis absorption spectrum collected for Ce₂CaMg₂Ge₃O₁₂, exhibiting a clear absorption edge at around 560 nm. An extrapolation of the linear portion of the absorption curve to the x-axis indicates an optical band gap of E_g = 2.22 eV. This steep increase in the absorption is followed by two broad sub-bands centered at 458 and 305 nm, also observed in the UV–vis absorption curves of YAG:Ce. These two absorption peaks can be assigned to the optical transitions from the Ce 4f ground state to the lowest and second-lowest excited states of the Ce 5d orbitals (5d₁ and 5d₂, respectively) (Bachmann et al., 2009). A third weak peak at around 250 nm is probably due to defects or impurities. The lowest absorption is in the blue spectral region, which results in the reddish orange color of the garnet compound. The photoluminescence emission (PE) and excitation (PLE) spectra of Ce₂CaMg₂Ge₃O₁₂ are shown in Figure 4B. The PE spectrum excited at 519 nm contains a broad band centered around 600 nm, which could be assigned to the transition from the 5d₁ level to the two 4f levels split by spin-orbit coupling into ²F_5/2 and ²F_7/2. The maximum value of the emission band for Ce₂CaMg₂Ge₃O₁₂ is red-shifted compared to that of Y₂Mg₃Ge₃O₁₂:Ce(2%) (Jiang et al., 2010) but comparable to that for Gd₂Mg₃Ge₃O₁₂:Ce(2%) (Wu et al., 2007).

FIGURE 4

Figure 4. (A) UV–vis absorption spectrum, and (B) photoluminescence emission (λ_ex = 519 nm) and excitation (λ_em = 600 nm) spectra for Ce₂CaMg₂Ge₃O₁₂, collected at room temperature.

Figure 5 shows the temperature evolution of the magnetic susceptibility χ (= M/H) measured in a magnetic field H = 1 kOe. Both the ZFC and FC data increase smoothly with decreasing temperature, indicative of a paramagnetic state persisting down to low temperatures. No significant difference between the ZFC and FC data was observed in the temperature range between 10 and 300 K. Fitting χ(T) to the Curie–Weiss law yields C = 1.407(4) (emu K/mol) and θ = −59.9(9) K, where C and θ stand for the Curie and Weiss constants, respectively. The C value is somewhat smaller than the theoretical value expected from two mol Ce³⁺ ions with ²F_5/2 per formula unit. The negative θ value suggests that Ce³⁺ ions are antiferromagnetically coupled to each other. The absence of a long-range magnetic order is probably due to a random distribution of Ce and Ca atoms on the 24c site.

FIGURE 5

Figure 5. Magnetic susceptibility of Ce₂CaMg₂Ge₃O₁₂, measured in a magnetic field of 1 kOe. The inset shows its inverse χ vs. T plot. The red solid line is the fit to the Curie-Weiss law.

Theoretical Calculations

From the experimental crystal structure analysis of Ce₂CaMg₂Ge₃O₁₂, Ce, and Ca ions are found to occupy the A site of the A₃B₂C₃O₁₂ garnet structure. In first principles calculations using structure models under periodic boundary conditions, mixed occupancy of atomic sites cannot be directly computed. Therefore, we initially determined the preferred distribution of Ce and Ca ions on the A site with a ratio of 2:1 in a fixed size model having the garnet structure. We chose a primitive unit cell of the garnet structure as a base model. Structure models having symmetrically non-equivalent configurations of Ce and Ca ions were constructed. In total, 20 independent configurations of Ce and Ca ions on the A-site were found from the base model using the CLUPAN code (Seko et al., 2009). The mesh size of k-point sampling was 3 × 3 × 3 in the Brillouin zone of the input structure models. We compared the total energies of these models obtained by structure optimization calculations.

From the series of total energy calculations of Ce₂CaMg₂Ge₃O₁₂ models, the most stable configuration that was found is shown in Figure 6. We analyzed the electronic structures of this model. Figure 7 shows total density of states (tDOS) and projected partial density of states (pDOS) of each constituent element. In Figure 7, the energy level of a valence band top is set to be 0 eV on the horizontal axes. Positive and negative values on the vertical axes indicate the DOS of up-spin and down-spin, respectively. The tDOS values show that the calculated band gap is about 2.2 eV, which is in a good agreement with the value estimated from the UV–vis absorption spectrum. It can be clearly seen that very sharp spikes of the DOS exist at the topmost energy levels of the occupied states. Such sharp DOS peaks indicate strong localization states of the electron orbitals. From the pDOS values, we can see that these peaks originate from the occupied 4f orbital of the Ce³⁺ ions. The DOS near the conduction band bottom seems to be mainly composed of an unoccupied 5d orbital of Ce³⁺ ions and a 4s orbital of the Ge⁴⁺ ions.

FIGURE 6

Figure 6. Most stable configurations of Ce₂CaMg₂Ge₃O₁₂ found by a series of first principles calculations in the present study. Search conditions are described in the main text.

FIGURE 7

Figure 7. Total and projected partial density of states calculated from the model shown in Figure 6. The energy level of a valence band top is set to be 0 eV on the horizontal axes. Positive and negative values of the vertical axes indicate the DOS of up-spin and down-spin, respectively. Blue, red, green, and purple lines indicate the s, p, d, and f orbitals of each element, respectively.

Conclusion

We have successfully synthesized a new metastable germanate garnet, Ce₂CaMg₂Ge₃O₁₂, using a flux crystal growth method. Reddish-orange single crystals were grown in a reactive MgO crucible; however, the polycrystalline sample could not be prepared via a solid state reaction. Flux reactions are clearly useful for extending the garnet family to compositions that include the early lanthanide metals, especially those larger than Gd, which have been less explored. The PL intensity was so weak that it could not be confirmed visually; this is probably due to Ce³⁺-concentration quenching effects or photoionization involving a charge transfer between Ce³⁺ and Ge⁴⁺ (Blasse et al., 1991; Pinelli et al., 2004). Work to synthesize La or RE (<Ce³⁺)-doped Ce₂CaMg₂Ge₃O₁₂ and the substitution of Si for Ge, which would enhance PL properties, is ongoing.

Data Availability Statement

The datasets generated for this study can be found in the Cambridge Crystallographic Data Centre (https://www.ccdc.cam.ac.uk/structures/) under the identifier 1969400.

Author Contributions

The manuscript was written through contributions of all authors. All authors have given approval to the final version of the manuscript.

Funding

Research grants from JSPS KAKENHI (Grant Nos. 15H02024, 16H06438, 16H06441, 19H02594, 19H04711, 17H05493, 16H06439, and 16K21724) and Innovative Science and Technology Initiative for Security, ATLA, Japan. Research Grant from UofSC (NSF grant DMR-1806279).

Conflict of Interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

We thank Dr. Y. Katsuya, Dr. M. Tanaka, and Prof. O. Sakata for their assistance in performing the SXRD experiments at SPring-8 (Proposal No. 2018B4502, 2019A4501).

Supplementary Material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fchem.2020.00091/full#supplementary-material

CIF files of Ce₂CaMg₂Ge₃O₁₀ based on single crystal XRD data. Anisotropic displacement parameters for Ce₂CaMg₂Ge₃O₁₀. Crystallographic data obtained from the Rietveld refinement against the SXRD data. Powder XRD data collected from the products of the solid state reactions.

References

Awaka, J., Kijima, N., Hayakawa, H., and Akimoto, J. (2009). Synthesis and structure analysis of tetragonal Li₇La₃Zr2O₁₂ with the garnet-related type structure. J. Solid State Chem. 182, 2046–2052. doi: 10.1016/j.jssc.2009.05.020

CrossRef Full Text | Google Scholar

Bachmann, V. M., Ronda, C., and Meijerink, A. (2009). Temperature quenching of yellow Ce³⁺luminescence in YAG:Ce. Chem. Mater. 21, 2077–2084. doi: 10.1021/cm8030768

CrossRef Full Text | Google Scholar

Blasse, G., Schipper, W., and Hamelink, J. J. (1991). On the quenching of the luminescence of the trivalent cerium ion. Inorganica Chimica Acta. 189, 77–80.

Google Scholar

Blöchl, P. E. (1994). Projector augmented-wave method. Phys. Rev. B Condens. Matter. 50, 17953–17979. doi: 10.1103/PhysRevB.50.17953

PubMed Abstract | CrossRef Full Text | Google Scholar

Bruker AXS Inc. (2016). APEX3 Version 2016.5-0 and SAINT+ Version 8.37A. Madison, WI: Bruker AXS Inc.

Google Scholar

Bugaris, D. E., and zur Loye, H. C. (2012). Materials discovery by flux crystal growth: quaternary and higher order oxides. Angew. Chem. Int. Ed. Engl. 51, 3780–3811. doi: 10.1002/anie.201102676

PubMed Abstract | CrossRef Full Text | Google Scholar

Dudarev, S. L., Botton, G. A., Savrasov, S. Y., Humphreys, C., and Sutton, A. P. (1998). Electron-energy-loss spectra and the structural stability of nickel oxide: an LSDA+U study. Phys. Rev. B 57, 1505–1509. doi: 10.1103/PhysRevB.57.1505

CrossRef Full Text | Google Scholar

Dukhovskaya, E. L., Saksonov, Y. G., and Titova, A. G. (1973). Oxygen parameters of certain compounds of the garnet structure. Izvestiya Akademii Nauk SSSR Neorganicheskie Mater. 9, 809–813.

Google Scholar

Garskaite, E., Sakirzanovas, S., Kareiva, A., Glaser, J., and Meyer, H.-J. (2007). Synthesis and structure of europium aluminium garnet (EAG). Zeitschrift für anorganische und allgemeine Chemie. 633, 990–993. doi: 10.1002/zaac.200700027

CrossRef Full Text | Google Scholar

Geller, S. (1967). Crystal chemistry of the garnets. Zeitschrift für Kristallographie - Crystalline Mater. 125, 1–47. doi: 10.1524/zkri.1967.125.125.1

CrossRef Full Text | Google Scholar

Goldschmidt, V. M. (1926). Die gesetze der krystallochemie. Die Naturwissenschaften. 14, 477–485.

Google Scholar

Guo, L., Huang, K., Chen, Y., Li, G., Yuan, L., Peng, W., et al. (2011). Mild hydrothermal synthesis and ferrimagnetism of Pr₃Fe₅O₁₂ and Nd₃Fe₅O₁₂ garnets. J. Solid State Chem. 184, 1048–1053. doi: 10.1016/j.jssc.2011.03.010

CrossRef Full Text | Google Scholar

Hübschle, C. B., Sheldrick, G. M., and Dittrich, B. (2011). ShelXle: a Qt graphical user interface for SHELXL. J. Appl. Crystallogr. 44, 1281–1284. doi: 10.1107/S0021889811043202

PubMed Abstract | CrossRef Full Text | Google Scholar

Izumi, F., and Momma, K. (2007). Three-dimensional visualization in powder diffraction. Solid State Phenomena. 130, 15–20. doi: 10.4028/www.scientific.net/SSP.130.15

CrossRef Full Text | Google Scholar

Jiang, H., Gomez-Abal, R. I., Rinke, P., and Scheffler, M. (2009). Localized and itinerant states in lanthanide oxides united by GW @ LDA+U. Phys. Rev. Lett. 102:126403. doi: 10.1103/PhysRevLett.102.126403

PubMed Abstract | CrossRef Full Text | Google Scholar

Jiang, H., Rinke, P., and Scheffler, M. (2012). Electronic properties of lanthanide oxides from theGWperspective. Phys. Rev. B 86:125115. doi: 10.1103/PhysRevB.86.125115

CrossRef Full Text | Google Scholar

Jiang, Z., Wang, Y., and Wang, L. (2010). Enhanced yellow-to-orange emission of Si-Doped Mg 3Y2Ge3O12:Ce³⁺ garnet phosphors for warm white light-emitting diodes. J. Electrochem. Soc. 157:J155. doi: 10.1149/1.3328530

CrossRef Full Text | Google Scholar

Kasper, H. M. (1969). Series of rare earth garnets Ln3+3M2Li+3O12 (M=Te, W). Inorgan. Chem. 8, 1000–1002. doi: 10.1021/ic50074a058

CrossRef Full Text | Google Scholar

Komori, T., Sakakura, T., Takenaka, Y., Tanaka, K., and Okuda, T. (2009a). Tripraseodymium penta-iron(III) dodeca-oxide, Pr₃Fe5O₁₂: a synchrotron radiation study. Acta Crystallogr. Sect. E Struct. Rep. Online 65:i73. doi: 10.1107/S1600536809038100

PubMed Abstract | CrossRef Full Text | Google Scholar

Komori, T., Sakakura, T., Takenaka, Y., Tanaka, K., and Okuda, T. (2009b). Trineodymium(III) penta-iron(III) dodeca-oxide, Nd3Fe5O₁₂. Acta Crystallogr. Sect. E Struct. Rep. Online 65:i72. doi: 10.1107/S1600536809036794

PubMed Abstract | CrossRef Full Text | Google Scholar

Krause, L., Herbst-Irmer, R., Sheldrick, G. M., and Stalke, D. (2015). Comparison of silver and molybdenum microfocus X-ray sources for single-crystal structure determination. J. Appl. Crystallogr. 48, 3–10. doi: 10.1107/S1600576714022985

PubMed Abstract | CrossRef Full Text | Google Scholar

Kresse, G., and Furthmüller, J. (1996a). Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B Condens. Matter. 54, 11169–11186. doi: 10.1103/PhysRevB.54.11169

PubMed Abstract | CrossRef Full Text | Google Scholar

Kresse, G., and Furthmüller, J. (1996b). Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50. doi: 10.1016/0927-0256(96)00008-0

CrossRef Full Text | Google Scholar

Kresse, G., and Hafner, J. (1993). Ab initio molecular dynamics for liquid metals. Phys. Rev. B Condens. Matter. 47, 558–561. doi: 10.1103/PhysRevB.47.558

PubMed Abstract | CrossRef Full Text | Google Scholar

Kresse, G., and Joubert, D. (1999). From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B. 59, 1758–1775. doi: 10.1103/PhysRevB.59.1758

CrossRef Full Text | Google Scholar

Lévy, D., and Barbier, J. (1999). Normal and inverse garnets: Ca₃Fe₂Ge₃O₁₂, Ca₃Y₂Ge₃O₁₂ and Mg₃Y₂Ge₃O₁₂. Acta Crystallogr. Sect. C Cryst. Struct. Commun. 55, 1611–1614. doi: 10.1107/S0108270199007854

CrossRef Full Text | Google Scholar

Malysa, B., Meijerink, A., and Jüstel, T. (2018). Temperature dependent Cr³⁺ photoluminescence in garnets of the type X₃ Sc₂ Ga₃ O₁₂ (X = Lu, Y, Gd, La). J. Luminescence 202:523–531. doi: 10.1016/j.jlumin.2018.05.076

CrossRef Full Text | Google Scholar

Muñoz-García, A. B., Pascual, J. L., Barandiarán, Z., and Seijo, L. (2010). Structural effects and4f−5dtransition shifts induced by La codoping in Ce-doped yttrium aluminum garnet: first-principles study. Phys. Rev. B. 82:064114. doi: 10.1103/PhysRevB.82.064114

CrossRef Full Text | Google Scholar

Muñoz-García, A. B., and Seijo, L. (2010). Structural, electronic, and spectroscopic effects of Ga codoping on Ce-doped yttrium aluminum garnet: first-principles study. Phys. Rev. B. 82:184118. doi: 10.1103/PhysRevB.82.184118

CrossRef Full Text | Google Scholar

Murugan, R., Weppner, W., Schmid-Beurmann, P., and Thangadurai, V. (2008). Structure and lithium ion conductivity of garnet-like Li₅La₃Sb₂O₁₂ and Li₆SrLa₂Sb₂O₁₂. Mater. Res. Bulletin 43, 2579–2591. doi: 10.1016/j.materresbull.2007.10.035

CrossRef Full Text | Google Scholar

Perdew, J. P., Ruzsinszky, A., Csonka, G. I., Vydrov, O. A., Scuseria, G. E., Constantin, L. A., et al. (2008). Restoring the density-gradient expansion for exchange in solids and surfaces. Phys. Rev. Lett. 100:136406. doi: 10.1103/PhysRevLett.100.136406

PubMed Abstract | CrossRef Full Text | Google Scholar

Pinelli, S., Bigotta, S., Toncelli, A., Tonelli, M., Cavalli, E., and Bovero, E. (2004). Study of the visible spectra of Ca₃Sc₂Ge₃O₁₂ garnet crystals doped with Ce³⁺ or Pr³⁺. Optic. Mater. 25, 91–99. doi: 10.1016/S0925-3467(03)00231-3

CrossRef Full Text | Google Scholar

Reinen, D. (1964). Die Lichtabsorption des Co²⁺ und Ni²⁺ in oxidischen Festkörpern mit Granatstruktur. I. Zeitschrift für anorganische und allgemeine Chemie 327, 238–252. doi: 10.1002/zaac.19643270317

CrossRef Full Text | Google Scholar

Rongjin, J., Wenhui, Y., Caixiang, F., and Yanwei, Z. (2013). Glycothermal synthesis of heavily Ce-doped YIG nanocrystals and their microstructures and magnetic properties. J. Mater. Chem. C 1:1763. doi: 10.1039/c2tc00335j

CrossRef Full Text | Google Scholar

Sawada, H. (1997). Electron density study of garnets:Z₃Ga₅O₁₂;Z=Nd, Sm, Gd, Tb. J. Solid State Chem. 132, 300–307. doi: 10.1006/jssc.1997.7462

CrossRef Full Text | Google Scholar

Sawada, K., Nakamura, T., and Adachi, S. (2016). Europium gallium garnet (Eu₃Ga₅O₁₂) and Eu₃GaO₆: synthesis and material properties. J. Appl. Phys. 120:143102. doi: 10.1063/1.4964444

CrossRef Full Text | Google Scholar

Seko, A., Koyama, Y., and Tanaka, I. (2009). Cluster expansion method for multicomponent systems based on optimal selection of structures for density-functional theory calculations. Phys. Rev. B 80:165122. doi: 10.1103/PhysRevB.80.165122

CrossRef Full Text | Google Scholar

Setlur, A. A., Heward, W. J., Gao, Y., Srivastava, A. M., Chandran, R. G., Shankar, M. V., et al. (2006). Crystal chemistry and luminescence of Ce³⁺-doped Lu₂CaMg₂(Si,Ge)₃O₁₂ and its use in LED based lighting. Chem. Mater. 18, 3314–3322. doi: 10.1021/cm060898c

CrossRef Full Text | Google Scholar

Shannon, R. D. (1976). Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr. Sect. A. 32, 751–767. doi: 10.1107/S0567739476001551

CrossRef Full Text | Google Scholar

Shao, Q., Dong, Y., Jiang, J., Liang, C., and He, J. (2011). Temperature-dependent photoluminescence properties of (Y, Lu)₃Al₅O₁₂:Ce³⁺ phosphors for white LEDs applications. J. Luminescence 131, 1013–1015. doi: 10.1016/j.jlumin.2011.01.013

CrossRef Full Text | Google Scholar

Sheldrick, G. M. (2015). SHELXT - integrated space-group and crystal-structure determination. Acta Crystallogr. A Found Adv. 71, 3–8. doi: 10.1107/S2053273314026370

PubMed Abstract | CrossRef Full Text | Google Scholar

Song, Z., Zhou, D., and Liu, Q. (2019). Tolerance factor and phase stability of the garnet structure. Acta Crystallogr. C Struct. Chem. 75, 1353–1358. doi: 10.1107/S2053229619011975

PubMed Abstract | CrossRef Full Text | Google Scholar

Tauber, A., Banks, E., and Kedesdy, H. (1958). Synthesis of germanate garnets. Acta Crystallogr. 11, 893–894. doi: 10.1107/S0365110X58002528

CrossRef Full Text | Google Scholar

Ueda, J., Dorenbos, P., Bos, A. J. J., Meijerink, A., and Tanabe, S. (2015). Insight into the thermal quenching mechanism for Y₃Al₅O₁₂:Ce³⁺ through thermoluminescence excitation spectroscopy. J.Phys. Chem. C 119, 25003–25008. doi: 10.1021/acs.jpcc.5b08828

CrossRef Full Text | Google Scholar

Wu, J. L., Gundiah, G., and Cheetham, A. K. (2007). Structure–property correlations in Ce-doped garnet phosphors for use in solid state lighting. Chem. Phys. Lett. 441, 250–254.

Google Scholar

Zhiguo, X., and Meijerink, A. (2017). Ce³⁺-doped garnet phosphors: composition modification, luminescence properties and applications. Chem. Soc. Rev. 46, 275–299. doi: 10.1039/C6CS00551A

CrossRef Full Text | Google Scholar