3.2. Thermoelectric Properties of Composite Thermocouples
Prior to thermoelectric characterization of the composite//composite thermocouples, high-temperature thermoelectric properties of the composite//Pt thermocouples were examined to better understand the intrinsic Seebeck coefficient of each composite.
Figure 4a displays the thermoelectric voltage (E in mV) of the MoSi
2-Al
2O
3//Pt, WSi
2-Al
2O
3//Pt, TaSi
2-Al
2O
3//Pt, and ZrSi
2-Al
2O
3//Pt thermocouples as a function of temperature gradient (ΔT in °C). It is clear that the thermoelectric voltage of all composite//Pt thermocouples increased with increasing temperature gradient, but at different levels. At ΔT = 500 °C, MoSi
2-Al
2O
3//Pt and WSi
2-Al
2O
3//Pt thermocouples generated 11.3 and 9.3 mV thermoelectric voltage, respectively. These values were found to be substantially higher than that of the TaSi
2-Al
2O
3//Pt (2.3 mV) and ZrSi
2-Al
2O
3//Pt (4.2 mV) thermocouples. It is also evident that the MoSi
2-Al
2O
3//Pt thermocouple exhibited higher thermoelectric voltage than other composite//Pt thermocouples when the temperature gradient was above 260 °C. On the other hand, the TaSi
2-Al
2O
3//Pt thermocouple displayed thermoelectric voltage less than 2.0 mV at ΔT ≤ 455 °C, which was significantly lower compared to the other composite//Pt thermocouples.
Figure 4b shows the effective Seebeck coefficients (S) of these composite//Pt thermocouples, which were calculated by applying the second- or third-order polynomial fitting to the thermoelectric voltage–temperature gradient (E-ΔT) curves and then using their first derivatives (slopes) as shown in the equations below based on the theory (slope method) [
24,
25]:
The fitting coefficients (A, B, and D), which were achieved via polynomial fitting and then used for Seebeck coefficient calculations, are additionally listed in
Table 2. Prior to these calculations, units of fitting coefficients (including mV) were converted to calculate the Seebeck coefficients in µV/K. The effective Seebeck coefficient of the [90–10] MoSi
2-Al
2O
3//Pt thermocouple increased from 9.6 to 47.3 µV/K with increasing temperature gradient (27 °C → 700 °C). This thermocouple displayed higher Seebeck coefficients than other composite//Pt thermocouples throughout ΔT range. In addition, [90–10] WSi
2-Al
2O
3//Pt thermocouples revealed a similar thermoelectric behavior, since its effective Seebeck coefficient ranged between 1.3 and 39.5 µV/K. However, relatively low Seebeck coefficients were achieved by [90–10] ZrSi
2-Al
2O
3//Pt and [90–10] TaSi
2-Al
2O
3//Pt thermocouples, particularly at the temperature gradients above 200 °C. The effective Seebeck coefficient of the [90–10] ZrSi
2-Al
2O
3//Pt thermocouple increased from 6.3 to 10.6 µV/K with increasing temperature gradient, whereas this increase was from 3.9 to 15.7 µV/K for the [90–10] TaSi
2-Al
2O
3//Pt thermocouple. It is evident that the level of increase in the Seebeck coefficients as a function of temperature gradient was much lower for these thermocouples compared to the MoSi
2-Al
2O
3//Pt and WSi
2-Al
2O
3//Pt thermocouples. At 500 °C, the effective Seebeck coefficients of the [90–10] MoSi
2-Al
2O
3//Pt, WSi
2-Al
2O
3//Pt, TaSi
2-Al
2O
3//Pt, and ZrSi
2-Al
2O
3//Pt thermocouples were measured as 36.1, 28.2, 8.5, and 9.3 µV/K, respectively. Furthermore, [90–10] ZrSi
2-Al
2O
3//Pt displayed the lowest effective Seebeck coefficients at temperature gradients above ~550 °C.
The experimental effective Seebeck coefficient data for the composite//Pt thermocouples (S
composite//Pt) were used to obtain the calculated intrinsic Seebeck coefficients of the metal silicide–oxide composites. For these calculations, the measured temperature-dependent Seebeck coefficient of a platinum wire (S
Pt ranging from −5.1 to −17.3 µV/K) was used as a reference from the literature [
26]. The intrinsic Seebeck coefficients of silicide–oxide composites (S
composite) were calculated using the equation below:
Figure 4c presents the calculated intrinsic Seebeck coefficients of the silicide–oxide composites (S
composite), which were calculated as described above. The reference Seebeck coefficient data of platinum (S
Pt) were also shown within the figure. [90–10] MoSi
2-Al
2O
3 and [90–10] WSi
2-Al
2O
3 composites showed an increasing linear trend for their intrinsic Seebeck coefficients with increasing temperature gradient. The intrinsic Seebeck coefficient of the [90–10] MoSi
2-Al
2O
3 composite was found to range between 4.6 and 30.0 µV/K at ΔT range of 27–700 °C. This increase was from −3.8 to 22.2 µV/K for the [90–10] WSi
2-Al
2O
3 composite. It is clear that the MoSi
2-Al
2O
3 composite displayed a higher intrinsic Seebeck coefficient than other silicide–oxide composites throughout the ΔT range. In addition, the WSi
2-Al
2O
3 composite revealed negative Seebeck coefficients at the temperature gradients lower than ~145 °C, whereas MoSi
2-Al
2O
3 always generated positive Seebeck coefficients. The Seebeck coefficients of MoSi
2 and WSi
2 were reported as −5.4 and −0.4 µV/K at room temperature [
7]. It is evident that the calculated Seebeck coefficients of [90–10] MoSi
2-Al
2O
3 (4.6 µV/K at 27 °C) and [90–10] WSi
2-Al
2O
3 (−3.8 µV/K at 27 °C) composites differ from these reported values. This could be related to a certain presence of Mo
5Si
3 and W
5Si
3 secondary phases within the composite structures after sintering. As discussed earlier, the amount of Mo
5Si
3 phase within the [90–10] MoSi
2-Al
2O
3 composite was determined as 20.2 vol % using the Rietveld method. These results may indicate that the intrinsic Seebeck coefficients of Mo
5Si
3 and W
5Si
3 could have positive and negative signs at room temperature, respectively. However, no study was found on the Seebeck coefficients of these 5-3 intermetallic phases, and thus, future studies are needed. Additionally, the thermoelectric output of the MoSi
2 thin-film thermocouple at 500 °C ranged between 19.4 and 64.1 µV/°C, depending on the heat treatment conditions [
6]. On the other hand, the [90–10] ZrSi
2-Al
2O
3 composite exhibited a decreasing linear trend (
Figure 4c). This decrease was determined to be from 1.3 to −6.7 µV/K with increasing temperature gradient. For the [90–10] TaSi
2-Al
2O
3 composite, two different regimes were observed. Its intrinsic Seebeck coefficient firstly increased in negative sign from −1.1 to −6.4 µV/K with increasing ΔT from 27 °C to 300 °C, and then, decreased to −1.6 µV/K with increasing temperature gradient to 700 °C. The Seebeck coefficient of TaSi
2 was reported as 25.0 µV/K at room temperature [
7], which is highly different from that of the TaSi
2-Al
2O
3 composite in this study. This could be due to the formation of Ta
5Si
3 phase, which may have a negative intrinsic Seebeck coefficient at the same temperature. Similarly, no data were reported on thermoelectric properties of Ta
5Si
3 and ZrSi secondary phases. As a result, it should be noted that the calculated intrinsic Seebeck coefficients of [90–10] silicide–oxide composites relatively differ from the reported thermoelectric data of these silicides, which demonstrates that secondary silicide phases could have significantly different intrinsic thermoelectric properties than their disilicide forms. Based on the calculated values, MoSi
2-Al
2O
3 and WSi
2-Al
2O
3 composites showed the highest (and also positive) intrinsic Seebeck coefficients at high temperatures. The intrinsic Seebeck coefficients of ZrSi
2-Al
2O
3 and TaSi
2-Al
2O
3 composites were calculated to be relatively low, and they both showed a negative value at high temperatures.
After studying the thermoelectric properties of composite//Pt thermocouples and silicide–oxide composites, various composite//composite thermocouples were also fabricated and tested. Similar to the composite//Pt thermocouples, all composite//composite thermocouples were made of [90–10] vol % silicide–oxide composites. The thermoelectric voltage and effective Seebeck coefficients of composite//composite thermocouples are presented as a function of temperature gradient in
Figure 5. The thermoelectric voltage of all composite//composite thermocouples similarly increased with increasing temperature gradient. At ΔT = 500 °C, the MoSi
2-Al
2O
3//WSi
2-Al
2O
3 thermocouple generated 7.9 mV, which is higher than the thermoelectric output of other composite//composite thermocouples. At the same ΔT, the MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 thermocouple exhibited a thermoelectric voltage of 5.7 mV. However, thermoelectric outputs of MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 and WSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouples were found to be similar, but relatively lower (4.1–4.3 mV) compared to other composite//composite thermocouples. The thermoelectric performance of MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 and MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 thermocouples was further characterized at higher temperature gradients (
Figure 5a). At ΔT = 840 °C, the MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 composite thermocouple generated 15.8 mV, which is significantly higher than that of the MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 thermocouple (11.9 mV). In addition, the MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 thermocouple revealed a thermoelectric voltage of 16.0 mV at ΔT = 1000 °C. When considering these mV-ΔT curves, it is evident that the MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouple performs better than other composite//composite thermocouples at higher temperature gradients (ΔT ≥ ~800 °C).
Figure 5b shows the effective Seebeck coefficients of the composite//composite thermocouples, which were similarly calculated by utilizing the second- or fourth-order (Equation 4) polynomial fitting to the thermoelectric voltage–temperature gradient (E-ΔT) curves and then using their first derivatives:
The polynomial fitting coefficients (A, B, D, and E) are also listed in
Table 2. These coefficients (slope method) were further used to calculate their effective Seebeck coefficients up to a temperature gradient of 1000 °C. The effective Seebeck coefficient of the MoSi
2-Al
2O
3//WSi
2-Al
2O
3 thermocouple increased from 14.4 to 20.9 µV/K with increasing ΔT from 27 °C to 1000 °C. It is determined that this thermocouple displayed higher Seebeck coefficients (14.2–16.9 µV/K) than all other composite//composite thermocouples at ΔT up to ~400 °C. A significant increase in the effective Seebeck coefficients of MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 and WSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouples was observed with increasing ΔT (
Figure 5b). The effective Seebeck coefficients of the MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouple were all negative at ΔT ≤ ~155 °C, whereas it increased to 56.7 µV/K with increasing ΔT to 1000 °C. It also displayed higher Seebeck coefficients than other composite//composite thermocouples at ΔT range of ~400–900 °C. It was also found that the effective Seebeck coefficient of the WSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouple drastically increased from 17.7 to 73.0 µV/K with increasing ΔT from 600 °C to 1000 °C. At ΔT > 900 °C, this thermocouple clearly exhibited the highest Seebeck coefficients. In addition, the MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 thermocouple revealed an increasing linear trend, where its effective Seebeck coefficient increased from 0.1 to 28.1 µV/K with increasing ΔT.
Lastly, the effective Seebeck coefficients of composite//composite thermocouples were additionally calculated using the previously calculated intrinsic Seebeck coefficients of [90–10] vol % silicide–oxide composites, which were previously presented in
Figure 4c. The equation is listed below for these calculations based on the Seebeck theory:
The composite and related thermocouple compositions were also abbreviated for simplicity (MA: MoSi
2-Al
2O
3, WA: WSi
2-Al
2O
3, TA: TaSi
2-Al
2O
3, ZA: ZrSi
2-Al
2O
3). For example; the Seebeck coefficient of a MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 (S
MA//TA) composite thermocouple was calculated by subtracting the calculated intrinsic Seebeck coefficient of the TaSi
2-Al
2O
3 composite (S
TA) from that of the MoSi
2-Al
2O
3 composite (S
MA). The comparison of the calculated and measured effective Seebeck coefficients of composite//composite thermocouples is presented as a function of temperature gradient (27–700 °C) in
Figure 6. The measured Seebeck coefficients of MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 (MA//ZA) and MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 (MA//TA) thermocouples were found to be mostly lower than their calculated Seebeck coefficients. However, at ΔT > 500 °C, the calculated and measured values were similar for the MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouple. On the contrary, the measured Seebeck coefficients of the MoSi
2-Al
2O
3//WSi
2-Al
2O
3 (MA//WA) thermocouple (14.4–18.9 µV/K) were higher than the calculated values (7.8–8.3 µV/K). Such variations could be due to the certain presence of secondary phases within the composite systems. These results may indicate that the overall thermoelectric effect of molybdenum-silicide phases (MoSi
2, Mo
5Si
3) with respect to zirconium- and tantalum-silicide phases (ZrSi
2, ZrSi, TaSi
2, Ta
5Si
3) may adversely influence the thermoelectric performance of MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 and MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 thermocouples. However, the higher measured Seebeck coefficients for the MoSi
2-Al
2O
3//WSi
2-Al
2O
3 thermocouple could imply the positive influence of different silicide couples (MoSi
2-W
5Si
3, Mo
5Si
3-WSi
2, Mo
5Si
3-W
5Si
3) on its thermoelectric output. On the other hand, the measured and calculated Seebeck coefficients of the WSi
2-Al
2O
3//TaSi
2-Al
2O
3 (WA//TA) thermocouple displayed a very close match throughout the ΔT range. These results also pointed out that the thermoelectric performance of composite//composite thermocouples may be positively or negatively affected by possible local compositional changes at the junction, which need to be further investigated in detail.
As presented in
Figure 6, the calculated and measured Seebeck coefficients of the MoSi
2-Al
2O
3//WSi
2-Al
2O
3 (MA//WA) thermocouple were 8.3 and 14.4 µV/K at ΔT = 27 °C, respectively. The effective Seebeck coefficient of a MoSi
2//WSi
2 thermocouple (without the addition of Al
2O
3) could be estimated as 5.0 µV/K at room temperature from the previously reported data [
7]. Therefore, it is evident that its calculated Seebeck coefficient is relatively close to this theoretical estimation, but its measured Seebeck coefficient is substantially higher, indicating the positive influence of secondary 5-3 silicide phases (Mo
5Si
3, W
5Si
3) on overall thermoelectric performance. The calculated and measured Seebeck coefficients of the MoSi
2-Al
2O
3//TaSi
2-Al
2O
3 (MA//TA) thermocouple were 5.7 and −8.7 µV/K at ΔT = 27 °C, respectively. At the same temperature gradient, the WSi
2-Al
2O
3//TaSi
2-Al
2O
3 (WA//TA) thermocouple displayed calculated and measured Seebeck coefficients of −2.7 and 1.2 µV/K, respectively. From the reported data [
7], the effective Seebeck coefficients of MoSi
2//TaSi
2 and WSi
2//TaSi
2 thermocouples should be near 30.4 and 25.4 µV/K at room temperature, respectively. These theoretical values are significantly higher than the calculated and measured Seebeck coefficients of these composite//composite (MA//TA and WA//TA) thermocouples. This indicates that the intrinsic Seebeck coefficient of Ta
5Si
3 secondary phase may be greatly lower than that of tantalum disilicide (TaSi
2), which could negatively affect the thermoelectric performance of these composite//composite thermocouples. Similar comparisons were not used for the MoSi
2-Al
2O
3//ZrSi
2-Al
2O
3 (MA//ZA) thermocouple due to the lack of intrinsic Seebeck coefficient data for ZrSi
2 phase in literature. In brief, all composite//composite thermocouples exhibited sufficiently high sensitivity (ranging from −8.7 to 73.0 µV/K) at the range of 27–1000 °C. In a similar temperature range, it was reported for the mostly used high-temperature thermocouples that S-type (90% Pt-10% Rh//Pt) and R-type (87% Pt-13% Rh//Pt) thermocouples possess 5.5–13.0 µV/K sensitivity [
27]. They also showed higher Seebeck coefficients than platinum//palladium (Pt//Pd) thin-film thermocouples, which displayed performances near −12.9 and −14.3 µV/°C at 900 °C [
3]. Furthermore, in the authors’ previous study, the thermoelectric characterization of a long MoSi
2-Al
2O
3//WSi
2-Al
2O
3 composite thermocouple demonstrated its highly stable thermoelectric response with no drift in voltage output during a 10 h isothermal hold at 1350 °C [
14]. It is highly evident that the thermoelectric performance and the sensitivity of these silicide–oxide-based ceramic composite thermocouples are very promising for high-temperature sensing under harsh environment conditions, and also highly advantageous and cost effective in comparison to precious metal-based temperature sensors.