# Wireless Passive Temperature Sensor Realized on Multilayer HTCC Tapes for Harsh Environment

Authors: Qiulin Tan; Zhong Ren; Ting Cai; Chen Li; Tingli Zheng; Sainan Li; Jijun Xiong
Journal: Journal of Sensors
 (2015)

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## Abstract

A wireless passive temperature sensor is designed on the basis of a resonant circuit, fabricated on multilayer high temperature cofired ceramic (HTCC) tapes, and measured with an antenna in the wireless coupling way. Alumina ceramic used as the substrate of the sensor is fabricated by lamination and sintering techniques, and the passive resonant circuit composed of a planar spiral inductor and a parallel plate capacitor is printed and formed on the substrate by screen-printing and postfiring processes. Since the permittivity of the ceramic becomes higher as temperature rises, the resonant frequency of the sensor decreases due to the increasing capacitance of the circuit. Measurements on the input impedance versus the resonant frequency of the sensor are achieved based on the principle, and discussions are made according to the exacted relative permittivity of the ceramic and quality factor (Q) of the sensor within the temperature range from 19°C (room temperature) to 900°C. The results show that the sensor demonstrates good high-temperature characteristics and wide temperature range. The average sensitivity of the sensor with good repeatability and reliability is up to 5.22 KHz/°C. It can be applied to detect high temperature in harsh environment.


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## Body

## 1. Introduction

Temperature is a critical measurement index in many research fields, such as chemical, medical, equipment, and food fields [1]. Although there are many different types of temperature sensors in the market at present, most of them are wired or active sensors, where physical connection between the sensor and signal transmission system is needed and power supply is also required, making it difficult to meet some special requirements. Wired sensors make the advantages of broad application and high sensitivity over wireless ones, but the lifetime and operating range are limited because a battery must be provided [2]. Many techniques have been applied to measure temperature, mainly including platinum resistors [3], thermocouples [4–6], optics [7–10], surface acoustic wave (SAW) [11, 12], and LC resonance [13–15].It is known that temperature sensors all have their own advantages. However, the response time of platinum resistors with expensive cost is not faster than other temperature sensors. As for thermocouples without rapid response time, it is hard to withstand chemical corrosions, and the output signal is susceptible to common noises. As far as optical temperature sensors are concerned, it is not suitable for applications in harsh environments, such as chemical corrosion and rotating components. In fact, the accuracy of SAW is easily influenced by environmental conditions and material properties. Therefore, it is very necessary for the temperature sensors to be selected according to different requirements and applications.Wireless passive LC resonant temperature sensors have unique advantages. It is very suitable for them to be applied for the energy transmission at a short distance in harsh industrial and medical environments [16], which makes it possible to meet some special requirements, such as rotating components, nondestructive monitoring, chemical corrosion, sealed environment, and other special high-temperature occasions. In this paper, the alumina ceramic, one of the HTCC tapes, is fabricated to be used as a substrate by lamination and sintering techniques, and the wireless passive temperature sensor integrating a planar spiral inductor and a parallel plate capacitor is designed and fabricated. What is more, the performances of the sensor at different temperature are measured in wireless coupling way, as shown in Figure 1. It demonstrates steady performances within the temperature range from room temperature to 900°C, with high sensitivity, good repeatability, and reliability compared with other types of wireless passive temperature sensors.Figure 1
Proposed wireless coupling system for temperature measurement.


## 2. Design and Simulations

Equivalent circuit model of the temperature sensor is mainly a series resonant circuit, as shown in Figure2. The resonant frequency of the circuit and quality factor of the sensor are given by [17](1)
f
0
=
1
2
π
L
s
C
s
,
(2)
Q
=
1
R
s
L
s
C
s
.Figure 2
Equivalent circuit.R
a and R
s are the series resistance of antenna and sensor, respectively. L
a and L
s are the series inductance of antenna and sensor, respectively. C
s is the series variable capacitance of sensor. M is mutual inductance between antenna and sensor, and Z is the input impedance looking into the antenna.The change of resonant frequency versus the variable temperature can be detected by an external read circuit with an antenna in wireless coupling way, as shown in Figure2.Coupling coefficientk between the antenna and the sensor is related to mutual inductance M, given by [17](3)
k
=
M
L
a
L
s
.The input impedanceZ can be concluded by(4)
Z
=
R
a
+
j
2
π
f
L
a
1
+
k
2
f
/
f
0
2
1
-
f
/
f
0
2
+
j
f
/
f
0
Q
,where f is the frequency loaded at the terminal of the antenna. As we can see from (4), the resonant frequency of the sensor can be determined by monitoring the frequency response of the input impedance Z.The planar spiral inductor is designed to be circular, as shown in Figure3, and the calculation of the inductance is given by [18](5)
L
s
=
μ
0
n
2
d
a
v
g
c
1
2
l
n
c
2
ρ
+
c
3
ρ
+
c
4
ρ
2
,where n means the inductor turns, ρ is filling ratio, ρ
=
d
o
u
t
-
d
i
n
/
d
o
u
t
+
d
i
n, d
a
v
g corresponds to the average diameter of the inductor, d
a
v
g
=
d
i
n
+
d
o
u
t
/
2, the magnetic permeability of free space μ
0 is 4
π
×
1
0
-
7 H/m, and c
1, c
2, c
3, and c
4 are coefficients related to the shape of the inductor, assigned the values of 1, 2.46, 0, and 0.2, respectively.Figure 3
Designed parameters of temperature sensor.d
o
u
t: outer diameter of the inductor. d
i
n: inner diameter of the inductor. a: radius of capacitor plates.The capacitor plates are also designed to be circular, as shown in Figure3, and the calculation of the capacitance is given by [16](6)
C
s
T
=
ε
r
T
ε
0
π
a
2
t
m
,where ε
0 is the permittivity of free space, 8.85 × 10−12 F/m, ε
r is the temperature-dependent relative permittivity of alumina ceramic, and t
m is the thickness of the ceramic substrate.It is known that the higher the operating frequency is, the greater the parasitic capacitance and the inductance will have influence on a system. Thus, the design value of the resonance frequency of the resonance circuit should not be more than 100 MHz. It can be concluded from (2) that if the sensor gets high inductance, low capacitance, and equivalent series resistance, the sensor will obtain high Q. Parameters of the temperature sensor are summarized in Table 1.Table 1
Sensor parameters at room temperature.
Parameters
Value
n
10
d
in/mm
10.2
d
out/mm
26.8
t
m/mm
0.48
a/mm
4.2
ε
r
9
L
s/uH
2.02
C
s/pF
9.20
R
s/Ω
3.7
f
0/MHz
36.92When the sensor is in the interrogation zone of the antenna, obvious changes of the magnitude and real part of the input impedance will appear near the resonant frequency of the sensor in the simulations, as shown in Figure4. The impedance is changed due to the shift of the relative permittivity ε
r and the resistance R
s. It presents a general idea of the relationship between the resonant frequency of the sensor and the relative permittivity of alumina ceramic, ranging from 9 to 11. The higher the relative permittivity becomes, the lower the resonant frequency gets. Additionally, an increase of resistance R
s, ranging from 3 to 12, will result in a decrease of impedance peak and an increase of resonance bandwidth.Figure 4
The magnitudeZ (a) and real part R (b) of impedance versus frequency.
(a)
(b)


## 3. Fabrications

Three sheets of the green alumina tape, ESL 44000 (ESL Electroscience, UK), a flexible cast film of 96% alumina powder dispersed in an organic matrix, are chosen to be used as the substrate of the sensor and the thickness of each tape is approximately 200μm. The conductive Ag/Pd/Pt paste, ESL 9562-G (ESL Electroscience, UK), is applied on the substrate to form a LC resonant circuit composed of one-layer planar spiral inductor and a parallel plate capacitor, as shown in Figure 5.Figure 5
Sectional view of the sensor.The fabrication process of the sensor is illustrated in Figure6. The green tape is cut into 8 inches for each sheet, and the each sheet is cut to achieve alignment holes, as shown in Figure 6, step 1. To fabricate the substrate, aluminum foil is used to prevent the green sheets from sticking before laminating them together in a vacuum press. The pressure and temperature for hot press are set to 21 MPa and 70°C for 5 min, as shown in Figure 6, step 2. Then the green sheets after lamination are trimmed edges and then cut down to 4 × 4 square samples with the edge length of approximately 35 mm, considering the shrinkage of 16%–18% after sintering, as shown in Figure 6, step 3. In Figure 6, step 4, the samples are placed in a desktop furnace to sinter as follows. The first ramp rate is 2°C/min to bake off the organics, at 450°C for 30 min, the next ramp rate is 6°C/min to sinter the ceramic, at 1500°C for 2 h, and the third ramp rate is 5°C/min or slower to cool off. After sintering, the alumina ceramic substrate is fabricated to be the dense structure with good mechanical strength. The next step is to screen-print the conductive paste on the substrate to form a planar spiral inductor and a parallel plate capacitor by screen-printing processes. Finally, the conductive paste on the substrate is dried at 150°C for 10 min and postfired at 850°C for 30 min. The fabricated sensor is presented in Figure 8, with the overall size of 29 mm × 29 mm × 0.48 mm.Figure 6
Fabrication processes of temperature sensor.


## 4. Measurements and Discussions

### 4.1. Antenna Configurations

Copper wire is of low-cost and has excellent mechanical and electrical properties. The enameled copper wire measured 1 mm in diameter is chosen to wound a cylindrical helical antenna. The antenna can be used to measure the high-temperature performance of sensor in wireless coupling way. The inductance of the antenna is about 1.5μH (1 MHz), the DC resistance is 0.125 Ω, outer diameter is 31.6 mm, average pitch is 5.45 mm, and the number of turns is 5.5.The peak of the real part of input impedance curve corresponding to the frequency is selected to approximately represent the self-resonant frequency (SRF) of the antenna or the resonant frequency of the sensor. When the SRF of the antenna is measured, the frequency range is swept from 50 MHz to 70 MHz, as shown in Figure7. If the sweep-frequency loaded at the terminal of the antenna equals SRF of the antenna, a self-resonance will happen. In this case, the real part of the input impedance will reach a maximum value, and the phase will change obviously at the same time. Thus, the SRF of the antenna is 61.3 MHz read from the characteristic curve “1.”Figure 7
SRF of the antenna. “1” is real part of input impedance of antenna. “2” is phase of input impedance of antenna.Figure 8
The top (a) and bottom (b) of sensor prototype and experiment setups (c).
(a)
(b)
(c)


### 4.2. Experiment Setups

The melting temperature of silver is about 962°C, and the postfiring temperature range of conductive paste is between 850°C and 930°C in air, which makes it possible for the sensor to work under the maximum temperature of 900°C. The experiment setup for wireless coupling measurement is shown in Figure8. The temperature sensor is affixed to the inside of the thermal insulation material, and it can be heated by Nabertherm LHT-02/16 high-temperature desktop furnace from 19°C (room temperature) to 900°C, while the antenna is placed in the recess of the outside of the thermal insulation material. Agilent E4991A impedance analyzer is used to analyze the variation of the magnitude and the real part of input impedance versus sweep-frequency at different temperature. It should be noted that the thickness of the insulating layer is 10 mm between the sensor and the antenna, namely, to maintain the coupling distance of 10 mm, where the maximum coupling distance is about 30 mm. In our future work, the maximum coupling distance can be improved by increasing the Q value of the sensor with a high inductance and a low resistance and adjusting the shape, geometric dimensions, and impedance of antenna to match the sensor.


### 4.3. Temperature Responses

The resonance frequency of the sensor is measured to be 35.95 MHz at room temperature, lower than the theoretical value. This is mainly affected by processing errors, coupling distance, and parasitic factors. The magnitude and the real part of the input impedance are changed with the uniformly heated temperature, shown in Figure9. As the temperature rises, curves of the magnitude and the real part of the input impedance are shifted to the low-frequency direction, the peaks decrease, and the bandwidths of resonances increase gradually, which is consistent with the simulation results shown in Figure 4, but coupling effect is not obvious when temperature approaches 900°C.Figure 9
The magnitude (a) and real part (b) of impedance versus frequency over 19°C–900°C temperature range.
(a)
(b)The inductance at low frequency of planar spiral inductor is mainly dependent on its physical dimensions influenced by the low coefficient of thermal expansion (CTE) of alumina ceramic, which is used as the substrate of the temperature sensor. It means that inductance is not greatly affected within the temperature range. Therefore, the resonant frequency of the sensor decreases due to the increase of capacitance dependent on the increasing permittivity of the ceramic. To illustrate this phenomenon, the impedance versus frequency corresponding to different relative permittivity of ceramic obviously indicates a downshift of resonant frequency in the simulation shown in Figure4. Since the resonant frequency change against temperature is monotonic, the permittivity of alumina ceramic can be extracted from the measured impedance according to given temperature. As shown in Figure 10, the extracted relative permittivity of alumina ceramic at room temperature is 3.2% higher than the nominal value and increases from 9.29 to 12.25 within the temperature range.Figure 10
Ceramic relative permittivity versus temperature.The series resonant circuit is mainly made from silver paste by screen-printing. When the temperature increases, the resistivity of the silver turns big, thereby increasing the equivalent series resistanceR
s of the circuit. The bigger the R
s is, the smaller the quality factor Q of the sensor is [19]. Q factor of the sensor is influenced by temperature-dependent losses, mainly including the metal resistivity and dielectric loss, which can be reflected by a resonance bandwidth. To characterize the Q value of the sensor changed with the temperature, Q is approximately defined with bandwidth of the resonance by [20, 21](7)
Q
=
f
0
Δ
f
,where f is the bandwidth of the resonance, and it is measured using the −3 dB from the peaks. Hence, a resonance with high Q has a narrow bandwidth. Figure 11 shows the measured Q of the sensor within the temperature from room temperature to 900°C. Q is decreased from 81.09 at room temperature to 6.95 at 900°C, which limits the operation range of the sensor fabricated from the conductive paste and ceramic materials. However, Q can be improved at high temperatures if the conductivity of these materials has lower dependence upon temperature. Furthermore, high-temperature-stable metals such as platinum enable the operation temperature of the sensor up to 1000°C and above [22]; therefore, platinum paste may be a good alternative to silver paste.Figure 11
Q versus temperature.The curve of the resonant frequency according to temperature shows obvious characteristic of quadratic curve in the temperature range of 19°C–900°C, illustrated in Figure12, where there is great fluctuation from 19°C to 100°C, because the desktop furnace heats unevenly during the initial segment of temperature. The data of the resonant frequency versus temperature is fitted and the fitting equation is given by(8)
f
M
H
z
=
-
3.332
e
-
006
∗
T
2
-
0.001844
∗
T
+
35.86
,where R-squared is 0.9983. The average sensitivity of the sensor on the resonant frequency versus temperature is about 5.17 KHz /°C.Figure 12
Resonant frequency versus temperature.To achieve repetitive measurement on the frequency response of the input impedanceZ, when the temperature inside the furnace is cooled off, the temperature is heated evenly from room temperature to 900°C for the second time with the other conditions remaining the same. Figure 13 is the two curves of the resonance frequency versus temperature by measuring the sensor twice. It is obvious that the sensor demonstrates good repeatability within the temperature range. And the second results show that the average sensitivity of the resonant frequency versus temperature is approximately 5.22 KHz/°C, and the relative variation is 0.97% compared to the sensitivity measured first.Figure 13
Repetitive measurement on resonant frequency versus temperature.To make the dynamic response of the sensor clear, cycling measurements on resonant frequency versus temperature are made when the temperature increases from room temperature to 900°C and then gradually decreases to room temperature. As shown in Figure14, the resonant frequency of the sensor can return to the initial value, which indicates that the temperature sensor has good reliability. However, the two curves do not coincide with each other due to temperature difference. The displayed temperature recorded in the experiments is determined by the thermocouple in the furnace, while the resonant frequency depends on the surface temperature of the sensor close to the furnace door. It is known that cooling rate of the location close to the furnace door, made from the thermal insulation material, is faster than the interior of the furnace. Therefore, the surface temperature of the ceramic is lower than the temperature around the thermocouple in heating process, while it is much lower in cooling process. Namely, the surface temperature of the sensor in cooling process is lower than the one in heating process, which results in the resonance frequency of the former higher than the latter. The difference is more obvious in the high-temperature range from 550°C to 850°C, gradually decreases in the low-temperature range, and is eliminated at room temperature finally. The problem may be solved well by placing the sensor in the position with the uniform temperature where there is no temperature difference.Figure 14
Cycling measurements on resonant frequency versus temperature. “+” is a measurement from room temperature to 900°C. “−” is a measurement from 900°C to room temperature.


## 4.1. Antenna Configurations

Copper wire is of low-cost and has excellent mechanical and electrical properties. The enameled copper wire measured 1 mm in diameter is chosen to wound a cylindrical helical antenna. The antenna can be used to measure the high-temperature performance of sensor in wireless coupling way. The inductance of the antenna is about 1.5μH (1 MHz), the DC resistance is 0.125 Ω, outer diameter is 31.6 mm, average pitch is 5.45 mm, and the number of turns is 5.5.The peak of the real part of input impedance curve corresponding to the frequency is selected to approximately represent the self-resonant frequency (SRF) of the antenna or the resonant frequency of the sensor. When the SRF of the antenna is measured, the frequency range is swept from 50 MHz to 70 MHz, as shown in Figure7. If the sweep-frequency loaded at the terminal of the antenna equals SRF of the antenna, a self-resonance will happen. In this case, the real part of the input impedance will reach a maximum value, and the phase will change obviously at the same time. Thus, the SRF of the antenna is 61.3 MHz read from the characteristic curve “1.”Figure 7
SRF of the antenna. “1” is real part of input impedance of antenna. “2” is phase of input impedance of antenna.Figure 8
The top (a) and bottom (b) of sensor prototype and experiment setups (c).
(a)
(b)
(c)


## 4.2. Experiment Setups

The melting temperature of silver is about 962°C, and the postfiring temperature range of conductive paste is between 850°C and 930°C in air, which makes it possible for the sensor to work under the maximum temperature of 900°C. The experiment setup for wireless coupling measurement is shown in Figure8. The temperature sensor is affixed to the inside of the thermal insulation material, and it can be heated by Nabertherm LHT-02/16 high-temperature desktop furnace from 19°C (room temperature) to 900°C, while the antenna is placed in the recess of the outside of the thermal insulation material. Agilent E4991A impedance analyzer is used to analyze the variation of the magnitude and the real part of input impedance versus sweep-frequency at different temperature. It should be noted that the thickness of the insulating layer is 10 mm between the sensor and the antenna, namely, to maintain the coupling distance of 10 mm, where the maximum coupling distance is about 30 mm. In our future work, the maximum coupling distance can be improved by increasing the Q value of the sensor with a high inductance and a low resistance and adjusting the shape, geometric dimensions, and impedance of antenna to match the sensor.


## 4.3. Temperature Responses

The resonance frequency of the sensor is measured to be 35.95 MHz at room temperature, lower than the theoretical value. This is mainly affected by processing errors, coupling distance, and parasitic factors. The magnitude and the real part of the input impedance are changed with the uniformly heated temperature, shown in Figure9. As the temperature rises, curves of the magnitude and the real part of the input impedance are shifted to the low-frequency direction, the peaks decrease, and the bandwidths of resonances increase gradually, which is consistent with the simulation results shown in Figure 4, but coupling effect is not obvious when temperature approaches 900°C.Figure 9
The magnitude (a) and real part (b) of impedance versus frequency over 19°C–900°C temperature range.
(a)
(b)The inductance at low frequency of planar spiral inductor is mainly dependent on its physical dimensions influenced by the low coefficient of thermal expansion (CTE) of alumina ceramic, which is used as the substrate of the temperature sensor. It means that inductance is not greatly affected within the temperature range. Therefore, the resonant frequency of the sensor decreases due to the increase of capacitance dependent on the increasing permittivity of the ceramic. To illustrate this phenomenon, the impedance versus frequency corresponding to different relative permittivity of ceramic obviously indicates a downshift of resonant frequency in the simulation shown in Figure4. Since the resonant frequency change against temperature is monotonic, the permittivity of alumina ceramic can be extracted from the measured impedance according to given temperature. As shown in Figure 10, the extracted relative permittivity of alumina ceramic at room temperature is 3.2% higher than the nominal value and increases from 9.29 to 12.25 within the temperature range.Figure 10
Ceramic relative permittivity versus temperature.The series resonant circuit is mainly made from silver paste by screen-printing. When the temperature increases, the resistivity of the silver turns big, thereby increasing the equivalent series resistanceR
s of the circuit. The bigger the R
s is, the smaller the quality factor Q of the sensor is [19]. Q factor of the sensor is influenced by temperature-dependent losses, mainly including the metal resistivity and dielectric loss, which can be reflected by a resonance bandwidth. To characterize the Q value of the sensor changed with the temperature, Q is approximately defined with bandwidth of the resonance by [20, 21](7)
Q
=
f
0
Δ
f
,where f is the bandwidth of the resonance, and it is measured using the −3 dB from the peaks. Hence, a resonance with high Q has a narrow bandwidth. Figure 11 shows the measured Q of the sensor within the temperature from room temperature to 900°C. Q is decreased from 81.09 at room temperature to 6.95 at 900°C, which limits the operation range of the sensor fabricated from the conductive paste and ceramic materials. However, Q can be improved at high temperatures if the conductivity of these materials has lower dependence upon temperature. Furthermore, high-temperature-stable metals such as platinum enable the operation temperature of the sensor up to 1000°C and above [22]; therefore, platinum paste may be a good alternative to silver paste.Figure 11
Q versus temperature.The curve of the resonant frequency according to temperature shows obvious characteristic of quadratic curve in the temperature range of 19°C–900°C, illustrated in Figure12, where there is great fluctuation from 19°C to 100°C, because the desktop furnace heats unevenly during the initial segment of temperature. The data of the resonant frequency versus temperature is fitted and the fitting equation is given by(8)
f
M
H
z
=
-
3.332
e
-
006
∗
T
2
-
0.001844
∗
T
+
35.86
,where R-squared is 0.9983. The average sensitivity of the sensor on the resonant frequency versus temperature is about 5.17 KHz /°C.Figure 12
Resonant frequency versus temperature.To achieve repetitive measurement on the frequency response of the input impedanceZ, when the temperature inside the furnace is cooled off, the temperature is heated evenly from room temperature to 900°C for the second time with the other conditions remaining the same. Figure 13 is the two curves of the resonance frequency versus temperature by measuring the sensor twice. It is obvious that the sensor demonstrates good repeatability within the temperature range. And the second results show that the average sensitivity of the resonant frequency versus temperature is approximately 5.22 KHz/°C, and the relative variation is 0.97% compared to the sensitivity measured first.Figure 13
Repetitive measurement on resonant frequency versus temperature.To make the dynamic response of the sensor clear, cycling measurements on resonant frequency versus temperature are made when the temperature increases from room temperature to 900°C and then gradually decreases to room temperature. As shown in Figure14, the resonant frequency of the sensor can return to the initial value, which indicates that the temperature sensor has good reliability. However, the two curves do not coincide with each other due to temperature difference. The displayed temperature recorded in the experiments is determined by the thermocouple in the furnace, while the resonant frequency depends on the surface temperature of the sensor close to the furnace door. It is known that cooling rate of the location close to the furnace door, made from the thermal insulation material, is faster than the interior of the furnace. Therefore, the surface temperature of the ceramic is lower than the temperature around the thermocouple in heating process, while it is much lower in cooling process. Namely, the surface temperature of the sensor in cooling process is lower than the one in heating process, which results in the resonance frequency of the former higher than the latter. The difference is more obvious in the high-temperature range from 550°C to 850°C, gradually decreases in the low-temperature range, and is eliminated at room temperature finally. The problem may be solved well by placing the sensor in the position with the uniform temperature where there is no temperature difference.Figure 14
Cycling measurements on resonant frequency versus temperature. “+” is a measurement from room temperature to 900°C. “−” is a measurement from 900°C to room temperature.


## 5. Conclusions

A wireless passive temperature sensor realized on multilayer HTCC tapes is designed and fabricated in the paper. The temperature responses on resonant frequency versus the input impedance are measured in wireless coupling way. The relative permittivity of alumina ceramic andQ factor of the sensor are characterized and discussed. The sensitivity, the repeatability, and the reliability of the sensor are also explored. As the temperature rises, curves of the magnitude and the real part of the input impedance are shifted to the low-frequency direction, the peaks decrease, and the bandwidths of resonances increase gradually, but coupling effect is not obvious when temperature approaches 900°C. The extracted relative permittivity of alumina ceramic at room temperature is 3.2% higher than the nominal value and increases from 9.29 to 12.25 within the temperature range, and the measured Q of the sensor is decreased from 81.09 at room temperature to 6.95 at 900°C, which limits the operation range of the sensor fabricated from the conductive paste and ceramic materials. The resonant frequency versus temperature shows nonlinear characteristics within the temperature range. The maximum sensitivity of the resonant frequency versus temperature is approximately 5.22 KHz/°C. The sensor demonstrates high repeatability with the relative variation of 0.97% compared to the sensitivity measured first and good reliability with the resonant frequency remaining the same initial value after cycling temperature measurements.



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*Source: 124058-2015-10-25.xml*