An application of (4YSZ)0.93(Fe2O3)0.07 in limiting current oxygen sensor

(4YSZ)0.93(Fe2O3)0.07 and 9 mol% Y2O3 stabilized ZrO2 (9YSZ) were synthesized by co-precipitation method and their crystalline structure, microstructure, electronic conductivity, total conductivity were characterized. A limiting current oxygen sensor was assembled with (4YSZ)0.93(Fe2O3)0.07 dense diffusion barrier and 9YSZ solid electrolyte by Pt sintered-paste method. Influences of temperature (T), oxygen concentration (x(O2)) and water vapor pressure (p(H2O)) on sensing characteristics of the limiting current oxygen sensor were investigated. The crystalline structure of (4YSZ)0.93(Fe2O3)0.07 and 9YSZ belong to cubic structure with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\bf{Fm}}\overline{{\bf{3}}}{\bf{m}}$$\end{document}Fm3¯m. The total conductivity of (4YSZ)0.93(Fe2O3)0.07 is higher than that of 9YSZ and the electronic and total conductivities of the samples meet the linear relationship with 1000/T. The limiting current oxygen sensor exhibits excellent sensing characteristics under test conditions. The effects of T, x(O2) and p(H2O) are as follows: Log(IL·T) depends linearly on 1000/T, IL depends linearly on x(O2) and IL is not significantly dependent on p(H2O).

It is essential to control the air-fuel ratio (A/F) to increase fuel economy and decrease environmental pollution since industrial furnaces and automobile industry expend immense amounts of energy. Solid electrolyte oxygen sensors play an important role for detecting the oxygen concentration in exhaust gas. Solid electrolyte oxygen sensors include two types: galvanic cell type and limiting current type. Potential of galvanic cell oxygen sensor is a function of logarithm of oxygen concentration ratio, causing the sensor to be less sensitive at high oxygen concentration. Limiting current of limiting current oxygen sensors is directly a linear function of oxygen concentration, resulting in the measurement range to be higher accuracy 1 . Limiting current oxygen sensors consist of three types: aperture type, porous type and dense diffusion barrier type. Early researches focused on aperture and porous types limiting current oxygen sensors, but unfortunately, there are some problems, such as pores are easily blocked and porous porosity is difficult to control. These weaknesses restrict the application of aperture and porous types limiting current oxygen sensors. In contrast, limiting current oxygen sensor with mixed ionic-electronic conducting oxides (MIECs) as dense diffusion barrier has been widely concerned by overcoming the shortcomings of the two previous limiting current oxygen sensors 2 . At the same time, the study of MIECs has also attracted the attention of researchers due to its widely application in gas sensors, solid oxide fuel cell and oxygen separation membranes at high temperatures [3][4][5] . YSZ is an excellent solid electrolyte due to its outstanding chemical stability, physical stability and oxide ionic conductivity [6][7][8] . Many researches were conducted on dense diffusion barrier limiting current oxygen sensor with different MIECs as dense diffusion barrier and YSZ solid electrolyte 9-12 . Peng et al. 9 developed a sensor with Pt-YSZ composite as dense diffusion barrier. The results showed that the sensor had a limiting current plateau for x(O 2 ) up to 6% and the I L depended linearly on x(O 2 ). Xia et al. 10 developed a sensor with La 0.8 Sr 0.2 MnO 3 (LSM) as dense diffusion barrier by Pt sintered-paste method. The results showed that the method can avoid the mismatch of shrinkage between two kinds of LSM and YSZ materials during sintering and can provide a limiting current plateau in a full range of air-fuel ratio. Shi et al. 11 developed a sensor with LSM-YSZ composite as dense diffusion barrier by co-pressing and co-sintering method. The results showed that the sensor exhibited a quite low operating temperature. At 400 °C, the limiting current plateau appeared in voltages of 0.7-1.2 V and it showed a good linear relationship with x(O 2 ) up to 10%. Wang et al. 12 developed a sensor with La 0.8 Sr 0.2 FeO 3 (LSF) as dense diffusion barrier. The results showed that the sensor exhibited a performance in oxygen concentrations range of 0-21%. In the above researches, YSZ is solid electrolyte, while the dense diffusion barrier materials have the problem of high cost or mismatch with YSZ solid electrolyte. Fe 2 O 3 is a transition metal oxide and Fe 3+ will redox at different oxygen concentration to form redox O was dripped into the salt solution with continuous stirring until pH reached 9 to get precipitates. The precipitates were washed by distilled water and ethanol for two times, respectively, and then dried at 70 °C for 12 h to obtain precursor powders. Thirdly, the precursor powders were calcined at 800 °C for 12 h to obtain solid solution powders. Crystalline structure of the solid solution powders was characterized by X-ray diffraction (Philips 3040/60, Netherlands, www.usa.philips.com, Cu Kα, 40 mA, 40 kV) and the data were refined and calculated by GSAS software 13 . We pressed the solid solution powders and then sintered it at 1600 °C for 10 h in air to obtain the samples for measurement of electrical conductivity, microstructure and sensors. Electronic and total conductivities were measured by Hebb-Wagner and DC van der Pauw methods, respectively. Microstructure of the samples on the cross-section was observed by scanning electron microscopy (Ultra Plus, Germany, www.zeiss.com.cn). A limiting current oxygen sensor was prepared by Pt sintered-paste method with (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 dense diffusion barrier and 9YSZ solid electrolyte. Pt paste (www.guyou01.com.cn) was screen printed on the top and bottom of the 9YSZ solid electrolyte as an electrode, Pt wire (Diameter 0.1 mm, China, www.reagent.com.cn) connected to the electrode as a lead. The sintered (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 sample was attached to the top of the sintered 9YSZ sample with Pt paste and heated at 800 °C for 1 h to obtain a dense diffusion barrier limiting current oxygen sensor. The Pt layer between (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 and 9YSZ is to connect them together and the sides of the sample were sealed with glass glaze (www.sic.ac.cn). The cross section of the sensor is shown in Fig. 1 (not to scale).
The effects of T, x(O 2 ) and p(H 2 O) on the I-V characteristics of the sensor were studied, and data were measured by an electrochemical analysis system (LK98B II, China, lanlike.b2b.hc360.com). Limiting current plateau was obtained at temperatures in the order of 800-650 °C and in the oxygen concentration region of 2-7%. By adjusting the temperature of the LiCl·H 2 O saturated solution to control the water vapor pressure in the volumetric flask, argon (Ar) was introduced into the solution to carry the water vapor into the measured furnace to obtain testing conditions of p(H 2 O). O 2 and Ar flow were controlled by capillary flowmeters and the total flow rate in the sensing performance experiment was about 100 ml/min. The testing system mentioned above for oxygen sensor is shown in Fig. 2.

Results and Discussion
Property of (4YSZ) 0.93 (Fe 2 o 3 ) 0.07 and 9YSZ. The crystalline structure of 9YSZ and (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 belongs to cubic structure with Fm3m shown in Fig. 3(a), which is consistent with previous studies 14 . The diffraction peaks of monoclinic ZrO 2 (m-ZrO 2 ) in 9YSZ sample are found at 2θ of 28.32° and 31.39°, which may be due to incomplete reactions. In the (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 sample, the diffraction peak intensity of the m-ZrO 2 at 28.32° becomes weaker and the diffraction peak intensity at 31.39° position disappears, which shows that the doping of Fe 2 O 3 is more beneficial to the formation of cubic ZrO 2 (c-ZrO 2 ). Meanwhile, we did not find the diffraction peak of www.nature.com/scientificreports www.nature.com/scientificreports/ parameters of samples are shown in Fig. 3(b), it is found that the cell parameters reduced from 5.    Fig. 6. It can be seen that from the pattern that the I-V characteristic curves of the sensor are mainly divided into three regions, which are located in low voltage region, intermediate voltage region and high voltage region, respectively, and the dashed lines representing a linear fit to the data. (1) In low voltage region, output current increases linearly with increasing applied voltage, which is predominantly caused by ohmic behavior of solid electrolyte 17 . Since the conductivity of the solid electrolyte increases with increasing temperature, the slope of the ohmic section at high temperature is higher than that at low temperature. At the end of the region, the slope of ohmic behavior has a slight decrease, which may be in a transitional area. (2) In intermediate voltage region, when the pump oxygen rate of the solid electrolyte is equal to the oxygen diffusion rate of the dense diffusion barrier, the I-V relationship approaches a limiting current plateau, which is a valuable experimental data. The limiting current I L of the sensor increases with increasing T, which is due to the increase of conductivity of (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 dense diffusion barrier. (3) In high voltage, output current increases with applied voltage, which is caused by oxide reductions of solid electrolyte 18,19 .
The relationship between ⋅ I T log( ) L and 1000/T is shown in Fig. 7. The linear correlation coefficient R is −0.9985. In addition, the activation energy of the oxygen ion in the (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 dense diffusion barrier can be calculated according to the fitting line, which is 0.9 eV in ref. 20 .    [21][22][23] .

Effect of oxygen concentration
The relationship between the limiting current and oxygen concentration at 800 °C is shown in Fig. 9. It can be seen that the limiting current and the oxygen concentration display a good linear relationship, which is related to the correlation theory of the Knudsen diffusion 24 .
where D K , P, T, F, R, S and L are oxygen diffusion coefficient of Knudsen diffusion, partial pressure difference of diffused gas between electrodes I and II, temperature, Faraday constant, gas constant, total cross-sectional area and length of diffusion path, respectively. The relationship between diffusion coefficient (D T ) and temperature (T) for the solid ion diffusion mode of solid theory is as follows: where D o , ε and k B are constant of the frequency factor, activation energy for the diffusion process and the Boltzmann constant, respectively. Combining equations (1) and (2) obtains the equation (3): If the oxygen concentration is stable, so: L B Equation (5) becomes a logarithmic function to obtain equation (6): L B and then, Effect of water vapor pressure on the sensor. The water vapor pressure dependence of the I-V characteristics at 800 °C is shown in Fig. 10. The water vapor pressure was achieved by passing dry argon through LiCl·H 2 O solution. The relationship between the water vapor pressure above saturated LiCl·H 2 O solution and temperatures of 23.90-54.84 °C is known according to ref. 25 . The temperature was controlled by a constant temperature water bath. As can be seen from the figure, water vapor pressure has no obvious effect on I-V characteristics of the sensor in the measured region.

Conclusions
(4YSZ) 0.93 (Fe 2 O 3 ) 0.07 dense diffusion barrier was synthesized by co-precipitation method. The crystalline structure of (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 and 9YSZ belong to cubic structure. The total conductivity of (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 is higher than that of 9YSZ and the electrical conductivity of the samples meet the linear relationship with 1000/T. The limiting current oxygen sensor based on (4YSZ) 0.93 (Fe 2 O 3 ) 0.07 dense diffusion barrier and 9YSZ solid electrolyte was developed and it demonstrated a very good linear relationship between log(I L ·T) and 1000/T well in accordance with the Knudsen diffusion model. At the same time, the sensor exhibits a good sensing performance with the oxygen concentration of 4.39-6.36% at 800 °C, which also agrees with the Knudsen diffusion model. Water vapor pressure in the measured region has no obvious effect on I-V characteristics of the sensor, which means that the sensor has good selectivity for oxygen.

Data Availability
The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.