2.1. Phase Composition, Crystal Structure, and Microstructural Parameters
The X-ray diffraction (XRD) of the product of nominal composition CaAl
3.9995Cr
0.0005O
7 obtained after a spontaneous auto-combustion process at 800 °C (see
Section 3.1) revealed the formation of an X-ray amorphous material (
Figure 1, top panel).
The crystallization of CaAl
4O
7 and formation of a phase-pure grossite-type material with an average grain size <
Dave> of 76 nm occurs after annealing the powder at 900 °C. The grain size was evaluated from the angular dependence of the shape of Bragg’s maxima via full-profile Rietveld refinement. Further heat treatments of the powder at 1000, 1100, 1200, and 1300 °C do not impact on the phase composition of the material, but they significantly improve the crystallinity of the sample. This is reflected by a gradual decrease of the lattice strains <ε> in CaAl
4O
7:Cr
3+ structure from 0.157% to 0.113% and the simultaneous increase in the average grain size of up to 166–198 nm (see
Figure 2a). The last tendency was also confirmed via scanning electron microscopy (SEM) examinations of the powders heat treated at different temperatures. The obtained SEM images (
Figure 2b–d) confirm an essential increase in the sizes of the weakly faceted and strongly agglomerated grains from about 100 nm for the powder calcined at 1000 °C up to ≥200 nm for the powder calcined at 1300 °C.
Full-profile Rietveld refinement was also conducted for the evaluation of precise structural parameters of the CaAl
4O
7:Cr
3+ series. As the initial model for the refinement, atomic coordinates in a nominally pure CaAl
4O
7 (CaO·2Al
2O
3) compound derived from single crystal diffraction data in Ref. [
11] were used. In the refinement procedure, the unit cell dimensions, coordinates, and displacement parameters of metal and oxygen atoms were refined together with the profile parameters and corrections for absorption and the instrumental sample shift. In all cases, we achieved an excellent agreement between the calculated and experimental diffraction profiles. Example results of the Rietveld refinement of CaAl
4O
7:Cr
3+ structures are presented in
Figure 3. Obtained structural parameters for CaAl
4O
7:Cr
3+ powders annealed at 1200 °C and the corresponding interatomic distances calculated from these data are presented in
Table 1 and
Table 2, respectively.
Aluminum atoms in the CaAl
4O
7 structure occupy two different general 8f positions and are characterized by a distorted tetrahedral environment of oxygen atoms at distances of 1.72–1.79 Å and 1.73–1.82 Å away from the central atoms for the positions Al(1) and Al(2), respectively (
Table 2,
Figure 4). What is peculiar about the Al(2) position is the presence of five remote oxygen atoms located at 2.69 Å away from a central Al atom; there are three Al atoms located at the distances of 2.91–3.13 Å (see
Table 2). In contrast, in the Al(1) site, the second coordination environment is formed by five Al atoms located at 3.13–3.21 Å; there are no extra atoms between the first tetrahedral and second coordination spheres.
Calcium atoms in the CaAl
4O
7 structure are located at the centers of trigonal bipyramids formed by five oxygens located at distances of 2.36–2.51 Å away from the central atoms (
Table 2). Two remote oxygen atoms located at distances of 2.89 Å could also be assigned to the nearest coordination sphere of Ca atoms. In this case, the coordination number (CN) of Ca becomes seven, and the corresponding polyhedron is shaped as a pentagonal bipyramid, which is similar to Sr atoms in the related SrAl
4O
7 compound [
12,
13]. Thus, the crystal structure of CaAl
4O
7 can be seen as a 3D grid of CaO
7 polyhedra connected with two kinds of apex-shared AlO
4 tetrahedra (
Figure 4). As it was shown in earlier work on CaAl
4O
7 and SrAl
4O
7 structures [
14], due to the 7:4 oxygen-to-aluminum ratio in this structure type, one oxygen atom (O4) is bonded to three aluminum atoms, thus connecting three AlO
4 tetrahedra via a common corner. To obtain a complete network of AlO
4 tetrahedra, in which each oxygen atom is bonded to only two aluminum atoms, a 2:1 ratio would be required.
The detailed analysis of the obtained structural parameters of materials heat treated at different temperatures revealed minor, but detectable anisotropic behaviors of the lattice parameters of the CaAl
4O
7:Cr
3+ structure. The lattice parameters
a and
b, as well as the monoclinic angle
β slightly decrease with an increasing annealing temperature, while the
c parameter increases (see
Figure 5). As a result, the unit cell volume is nearly independent of the heat treatment temperature (see
Figure 5, bottom panel).
2.2. Luminescent Properties
Photoluminescence excitation (PLE) and corresponding photoluminescence (PL) spectra of CaAl
4O
7: Cr
3+ nanocrystalline phosphors annealed at 1200 °C are shown in
Figure 6. The sample calcined at 1200 °C reveals two types of Cr
3+ emission. The first one has narrow lines (
R lines) at 692.5 and 693.9 nm at room temperature, which are undoubtedly caused by
2E →
4A
2 spin-forbidden transitions in the Cr
3+ ion in a strong octahedral crystal field (O-Cr-A type, according to Refs. [
15,
16]). The inset in
Figure 6b shows the R lines of this center in comparison with a similar center previously observed by us in SrAl
4O
7:Cr
3+ [
13]. The second one also has two narrow lines at 683.3 and 686.7 nm, which are superimposed on a broad emission band stretching up to 800 nm. The excitation bands caused by
4A
2 →
4T
1 and
4A
2 →
4T
2 transitions in the octahedrally coordinated Cr
3+ ion for the second-type center are somewhat shifted towards longer wavelengths (see
Figure 6a). The broad emission band of the second-type center also caused by spin-allowed
4T
2 →
4A
2 transitions points towards a lower crystal field strength experienced by this type of Cr
3+ ions in the studied material (O-Cr-B type, according to Refs. [
15,
16]).
It should be mentioned that the Cr
3+ center in a weak crystal field exhibiting a broad-band emission was not discussed in our recent study of SrAl
4O
7:Cr
3+ [
13]. Having observed this new center in the studied calcium aluminate, we revisited the earlier results and carried out additional measurements for SrAl
4O
7:Cr
3+ samples calcined at 1400 °C. The examinations confirmed that the Cr center in a weak crystal field does exist in this host (see
Figure 7). This center marked as Cr2 in SrAl
4O
7:Cr
3+ manifests a broad emission band centered at about 780 nm, with excitation bands at about 470 and 630 nm.
Judging from the presented photoluminescence spectra of SrAl4O7:Cr3+ and CaAl4O7:Cr3+ nanocrystalline phosphors, one can expect that the observed two types of non-equivalent octahedrally coordinated Cr3+ centers (in the stronger (Cr1) and weaker (Cr2) crystal fields) are formed on the sites of Al3+ and Ca2+/Sr2+ ions, respectively. A significant shift in the emission and excitation bands of the Cr2 center towards near-infrared with respect to the Cr1 center in SrAl4O7 compared to those of CaAl4O7 suggests that in the SrAl4O7 host, the Cr2 center experiences much weaker crystal field strength than it does in CaAl4O7. Taking into account the fact that the ionic radius of Sr2+ cation is larger than that of Ca2+, it is sensibly to anticipate that the Cr3+ center (Cr2) in a weak crystal field observed both in SrAl4O7 and CaAl4O7 most likely is localized at the sites of the alkaline earth cations. However, it is not obvious given the crystal structure of the CaAl4O7 lattice described above. The origin of the Cr3+ centers in (Ca/Sr)Al4O7 is discussed below.
Figure 8 demonstrates an evolution of the Cr-related emission of the studied material as a function of the annealing temperature. As it is clearly seen from the figure, the samples calcined at 900–1000 °C show a structureless broad-band emission at around 700 nm of relatively low intensity, which was caused by the poor crystallinity of the material. Narrow emission lines appear in the powder treated at 1100 °C. The material calcined at 1200 °C shows high-intensity photoluminescence, as described above. It is of interest to note that further increasing the annealing temperature up to 1300 °C results in a complete disappearance of the Cr2 centers, so that only the Cr1 centers remain without further increasing the emission intensity. Therefore, the material calcined at 1200 °C with two types of Cr centers was chosen to be studied in detail in the temperature range from about 4 to 325 K.
Figure 9 shows the detailed temperature dependence of the PL spectra in the vicinity of R lines of CaAl
4O
7:Cr
3+ calcined at 1200 °C. The corresponding temperature dependences of the R
2/R
1 intensity ratios and R lines positions for the Cr1 and Cr2 centers are analyzed in the next section.
The decay curves of both types of Cr
3+ luminescence centers in the temperature range from 4.5 to 325 K are shown in
Figure 10. As can be seen from the figures, the Cr2 center emission registered at 686 nm exhibits a single instance of exponential decay. Cr1 emission decays are essentially non-single exponential ones caused by spectral overlap with the Cr2 emission spectrum. To estimate the characteristic decay times of the observed emissions, we first derived the decay time constant of the Cr2 center. Next, the decay time of the Cr2 center was used as a fixed parameter to fit the decay curves of the Cr1 emission by a sum of two exponential functions. In this way, the decay time of the Cr1 centers was reliably estimated.
It is noteworthy that the position of the R lines and their intensity ratio for the Cr1 center in the studied material are remarkably similar, if not identical, to those observed in ruby α-Al
2O
3:Cr
3+ [
17]. This similarity suggests that the Cr1 center may be related to α-Al
2O
3, which is likely present as an unintentional impurity phase in the studied materials. However, XRD studies did not detect any traces of the α-Al
2O
3 phase. Furthermore, a similar, albeit non-identical, “ruby-type” Cr
3+ center was also observed in isostructural SrAl
4O
7 (see
Figure 6b). This suggests that Cr
3+ ions, when they are introduced to the (Ca/Sr)Al
4O
7 lattice, form octahedrally coordinated centers similar to those in ruby. It is logical to assume that this type of centers is formed in locations of Al
3+ ions. Due to the tetrahedral environment of Al
3+ ions in the CaAl
4O
7 structure, it can be assumed that a Cr
3+ ion, when it enters into an Al site, attracts two oxygens from the coordination environment of the two nearest calcium atoms, thus forming CrO
6 octahedra. A similar scenario of CrO
6 octahedral complex formation, i.e., the generation of distorted octahedra as Cr
3+ ions replaced Ga
3+ ions in an SrGa
4O
7 structure, was recently reported for isostructural SrGa
4O
7 in [
18].
Another type of Cr
3+ center (Cr2), which showed up in the studied material at calcination temperatures ≤ 1200 °C and is attributed to Cr
3+ in a somewhat weaker crystal field (larger Cr–O distances), is logically assigned to the centers formed at Ca
2+ ions sites. The presence of the corresponding Cr2 center, in a much weaker crystal field in SrAl
4O
7 as shown above, confirms this assignment. Note that a similar mechanism of the formation of distorted octahedral Mn
4+ complexes due to substitution for Ca sites was proposed in CaAl
4O
7:Mn phosphors [
8]. Owing to the peculiarity of the grossite structure, both scenarios of the formation of octahedral Cr
3+ centers in a CaAl
4O
7 host structure are possible. To shed light on this problem, a thorough study of the local structure of Cr
3+-doped Ca(Sr)Al
4O
7 materials via complementary techniques is required.
2.3. Evaluation of Feasibility of CaAl4O7:Cr3+ for Non-Contact Luminescence Thermometry
The detailed investigation of changes observed in the spectroscopic characteristics of CaAl
4O
7:Cr
3+ with temperature indicates that alike of many other chromium-doped oxides, this material can be used as non-contact luminescence sensor for temperature monitoring. One key advantage of materials doped with ions of transition metals is the ability to employ various modalities for temperature sensing based on monitoring different temperature-dependent luminescence characteristics, such as the intensity ratio of R lines, their spectral shift, and decay time. All these characteristics exhibit notable changes with temperature [
17], making multimodal non-contact luminescence measurements of temperature highly attractive. Multimodal sensing improves the accuracy and reliability of the technique by enabling the cross-referencing of results produced by different readout techniques. Recently, we demonstrated that further enhancement of the technique can be achieved by using two transition metal ions, Cr
3+ and Mn
4+, in an Al
2O
3 host [
19]. However, the practical usefulness of this dual-emitter concept is limited due to the difficulty of accommodating ions with different valence states in one host. An alternative approach to this concept is to use one transition metal ion to form two types of emission centers with distinct spectral and decay characteristics. As is demonstrated above, CaAl
4O
7:Cr
3+, exhibiting the emissions of two types of Cr
3+-centers, is well suited to test this idea. This section analyzes the luminescence characteristics of CaAl
4O
7:Cr
3+ from the viewpoint of their application for thermometry.
The spectra presented in
Figure 9 reveal significant changes in the intensity distribution of steep R lines and their shift with temperature. A rapid decrease in the intensity of the
R2 lines with respect to
R1 during cooling is due to an increase in the population of the lower exited state that is governed by Boltzmann statistics. The thermal shift of the lines results from the interaction of electronic states of impurity ions with acoustic phonons of the host matrix. That is explained within the framework of the Debye theory of solids. Consequently, both observed dependencies can be used for temperature monitoring.
The plots in
Figure 11 show the variation in the ratio of intensities,
, of
R2 and
R1 lines with temperature, which is widely used in ratiometric optical thermometry. The experimental results were fitted by the equation that describes the temperature variation in the population of the emitting levels using Boltzmann statistics:
where
A is a constant,
D is the activation energy for the transition between the two emitting levels,
k is the Boltzmann constant, and
T is the absolute temperature. As can be seen from the results of fitting the Boltzmann distribution, it effectively describes the observed temperature changes in the intensity ratio of
R lines emitted by both centers (Cr1 and Cr2) in CaAl
4O
7:Cr
3+. Deviations from the theoretical model observed at high temperatures (above 250 K) are due to the depopulation of emitting levels occurring via non-radiative decay processes. The values for the energy gap
D between the emitting levels,
and
, derived from the fittings are 4.7 ± 0.3 and 11.8 ± 0.4 meV for Cr1 and Cr2 centers, respectively. The larger energy gap obtained for Cr2 emission centers results in enhanced sensitivity of the ratiometric optical thermometer over a broader range of temperatures.
Figure 12 shows the temperature dependence of the spectral position of the
R1 and
R2 lines. The Debye theory gives the following expression to describe the thermal shift of the lines, Δ
v:
where α is the coupling coefficient for electron–phonon interactions, and
TD is the Debye temperature. We performed a correlated fit of the observed temperature dependences of
R line positions, which allowed us to derive individual values for the parameter α of each line and the Debye temperature,
TD, common for both lines. The fitting yielded
= −531.1 cm
−1,
= −515.4 cm
−1, and
TD = 858 K for Cr1 centers and
= −379.3 cm
−1,
= −498.7 cm
−1, and
TD = 792 K for Cr2 centers. From the data shown in
Figure 12, it is obvious that at low temperatures, the emission peaks exhibit a small thermal shift. Measurable changes in the peak positions are observed as the temperature exceeds 100 K. This sets a natural low-temperature limit for the application of the method for non-contact temperature measurements.
Complementary to the spectroscopic methods of non-contact temperature sensing is a technique that takes advantage of the changes of the decay rate of Cr
3+-emission with temperatures. The luminescence decay time constant of Cr2 center exhibits strong changes with temperature in contrast to the weak thermal dependence of the decay time constant observed for Cr1 center (refer to
Figure 13). Furthermore, the decay rate of Cr1 centers is noticeably faster and not a single exponential function, indicating the presence of energy transfer processes. Consequently, only the temperature dependence of the luminescence decay of the Cr2 center is conducive for practical application in non-contact thermometry.
The temperature dependences displayed in
Figure 13 can be explained by considering the main processes affecting the population of emitting level
2E, including thermalization, phonon-assisted interaction with lattice vibrations, and thermally induced depopulation. Assuming that there is thermal equilibrium between states
,
, and
4T
2 involved in the transitions and considering interactions with lattice vibrations, the expression for the temperature dependence of the decay time of Cr
3+ is given as follows [
17]:
where 1/
τi (
i = 1, 2 and 3) is the radiative decay rates of the involved states, respectively,
k is the Boltzmann constant,
D is the energy split of the
2E levels, Δ
E1 is the energy difference between the
2E and the upper state, and
Ep stands for “effective energy” of the phonons responsible for the exchange with sidebands. The correlation coefficient of the fit shown in
Figure 13 is 0.999, evidencing that the used model perfectly represents the measured temperature dependences of the decay time constants of the Cr2 center.
Interestingly, the decay time of the lower emitting level,
, is longer than that for
, and due to this, the heating results in a gradual increase in the overall transition rate from the two levels. This is in contrast to the situation in many other Cr-doped oxides, where a decrease in the rate observed during heating in the low-temperature range is due to the shorter decay time of the lower
level, which is depopulated through thermally activated transition to the upper
level [
17]. This relationship of two parameters (
τ1 >
τ2) has a quite important implication for temperature sensing, resulting in the monotonous decrease in the decay time constant and improved sensitivity over a broader range.
The discussion of the performance of the material for thermometry typically considers two parameters, i.e., absolute sensitivity,
Sa, and relative sensitivity,
Sr, which are defined as follows:
and
where
Q is the absolute thermometric parameter of interest. The calculated values of these parameters are summarized in
Figures S1–S4.
Finally, to compare the performances of different methods, we determined the temperature uncertainty of each method,
δT, from the uncertainty of the measured parameter (
δQ) using the equation and approach developed earlier in [
20]:
where |
dQ/
dT| is the absolute sensitivity of the thermometric parameter. The obtained characteristic can be readily used for the comparison of different temperature measurement methods. The plots in
Figure 14 display the variation in uncertainty with temperature,
δT = f(
T), calculated for different methods of non-contact sensing when CaAl
4O
7:Cr
3+ is used. The graphs illustrate that the accuracy of various measurement methods depends heavily on the temperature range. At low temperatures (10–140 K), measurements of the intensity ratio of emission peaks from the Cr2 center yields the lowest degree of uncertainty. As the temperature increases, more accurate measurements can be obtained by monitoring the changes in the luminescence decay time constant of Cr2 centers. In fact, using this method of temperature monitoring with CaAl
4O
7:Cr
3+ allows us to achieve a temperature resolution of more than ±1 K above 200 K. This performance is comparable to that of Ga
2O
3-Cr, which has been identified as one of the most sensitive Cr-doped compounds for non-contact luminescence thermometry in this temperature range [
17]. Finally, it should be noted that the accuracy of temperature determination based on the shift of peak positions is much lower compared to those of other techniques.