Half-Cell Potential Analysis of an Ammonia Sensor with the Electrochemical Cell Au | YSZ | Au, V2O5-WO3-TiO2

Half-cell potentials of the electrochemical cell Au, VWT | YSZ | Au are analyzed in dependence on oxygen and ammonia concentration at 550 °C. One of the gold electrodes is covered with a porous SCR catalyst, vanadia-tungstenia-titania (VWT). The cell is utilized as a potentiometric ammonia gas sensor and provides a semi-logarithmic characteristic curve with a high NH3 sensitivity and selectivity. The analyses of the Au | YSZ and Au, VWT | YSZ half-cells are conducted to describe the non-equilibrium behavior of the sensor device in light of mixed potential theory. Both electrode potentials provide a dependency on the NH3 concentration, whereby VWT, Au | YSZ shows a stronger effect which increases with increasing VWT coverage. The potential shifts in the anodic direction confirm the formation of mixed potentials at both electrodes resulting from electrochemical reactions of O2 and NH3 at the three-phase boundary. Polarization curves indicate Butler-Volmer-type kinetics. Modified polarization curves of the VWT covered electrode show an enhanced anodic reaction and an almost unaltered cathodic reaction. The NH3 dependency is dominated by the VWT coverage and it turns out that the catalytic properties of the VWT thick film are responsible for the electrode potential shift.

the concentrations of O 2 , CO 2 , and water in dependence on the combustion process in lean, oxygen rich exhaust almost do not affect the sensor response once the O 2 concentration exceeds 3 vol.%.
This planar sensor was manufactured in thick-film technique, with a screen-printed YSZ film on top of an alumina substrate [17]. The device could be self-operated due to a heater film on its reverse side. In this study, the focus is on experiments to elucidate the sensor mechanism. For that purpose, effects contributing to the sensor response are investigated in a half-cell setup. The electrode processes at the pure Au electrode and at the VWT-covered Au electrode are analyzed separately with reference to a Pt electrode in a defined reference atmosphere. Initial investigations of the electrode effects confirmed that electrochemical reactions occurring at the three phase boundary and the catalytic activity of the VWT-catalyst layer play a crucial role in the sensor mechanism [24]. A detailed investigation of the electrode potential and electrochemical kinetics with respect to mixed potential formation is the focus of this work. Half-cell measurements of the electrode potentials are conducted in dependence on the gas composition. Polarization curves are investigated in different gas atmospheres for a Au electrode and a VWT-covered Au electrode.
The objective of this study is to validate if the sensor behavior and NH 3 detection mechanism can be described solely by classic mixed potential theory or if other potential changing processes need to be considered which reflect limitations of the mixed potential theory.

Sample Preparation
Two types of samples were prepared, as illustrated in Figure 1: a sensor-like setup and a half-cell type setup. In each setup, YSZ ceramic discs (8 mol.% Y 2 O 3 -doped ZrO 2 (Kerafol)) served as a substrate. Electrodes and cover layer were applied by screen printing. For the sensor-like setup (Figure 1(a)) both porous Au electrodes (Au thick-film paste (DuPont), fired for 20 min at 850 °C ) were applied on top of the YSZ disc. One electrode, denoted as sensing electrode and abbreviated by SE, was covered afterwards by a screen-printed porous catalyst film. For that purpose, a commercial extruded VWT-based SCR catalyst (Argillon, now Johnson-Matthey) was ground in a planetary ball-mill and organic binders were added to obtain a screen-printable paste. In the case of the half-cell probe, the electrodes were arranged on top and on bottom of the electrolyte disc (Figure 1(b)). For the reference electrode (RE), which was later exposed to a reference atmosphere, either Au (processed as described) or Pt (thick-film paste (Heraeus) fired at 1,200 °C for 20 min) was used. The SE consisted of a Au layer covered by the porous SCR-catalyst VWT thick film. Different sensing electrode configurations were investigated. Half-cell probes with Au and Au that was covered partially or completely with the VWT-catalyst (applied by brushing) were used. The setup for half-cell measurements is illustrated in Figure 2. Main parts of the half-cell setup were two stainless steel cylinders, each with a gas inlet and outlet and joined together by a mica seal. Both gas atmospheres were separated gas tightly by the mica seal and the half-cell probe itself, so that both electrodes could be exposed to different gas compositions. The RE was in contact with the reference gas atmosphere whereas the SE was exposed to the measuring gas. Platinum wires were used as contact leads. The entire half-cell setup was mounted into a chamber furnace which was heated up to operation temperature. The temperature at the half-cell probe was monitored and adjusted to 550 °C by two thermocouples (not shown in Figure 2). A temperature gradient of 5 K at the maximum was observed across the half-cell specimens.

Measurement of Sensor and Half-Cell Performances
The sensor-like device of Figure 1(a) was measured in a tube furnace and the entire half-cell setup ( Figure 2) was placed in a chamber furnace.
The sensor-like devices were mounted in a sample holder and heated up in a tube furnace to an operating temperature of 550 °C. They were exposed to a base gas consisting of 10 6.5 vol.% CO 2 , 2.5 vol.% H 2 O in N 2 balance with a total flow rate of 600 mL/min. The NH 3 concentration was increased stepwise up to 275 ppm. The sensor signal, V, i.e., the potential difference between SE and RE as indicated in Figure 1, was recorded by a digital multimeter (Keithley 2700 series). The resulting sensor response, ΔV, is the difference between the sensor signal in base gas, V 0 , and the sensor signal with NH 3 , V NH3 . The gas composition, especially the NH 3 concentration, was analyzed by Fourier transform infrared spectrometry (FTIR, Thermo Fisher Nicolet) downstream of the tube furnace.
For half-cell tests, separate reference and measuring atmospheres were necessary. Both consisted, unless otherwise specified, of 10 vol.% O 2 , 6.5 vol.% CO 2 , and 2.5 vol.% H 2 O in N 2 balance. The RE was always exposed to this gas composition, which was dosed constantly during the measurements. Varying NH 3 -concentrations (10-275 ppm, see Figure 5; respectively 44-470 ppm, see Figures 7,[8][9][10][11][12] were added on the SE side. Additionally, it was investigated how the electrode behavior depends on NO and NO 2 as well as on O 2 . For that purpose, NO or NO 2 were added to the base gas or the oxygen concentration of the measuring gas was varied from 0.5 to 20 vol.%. All half-cell measurements were conducted at 550 °C. Current-voltage curves or polarization curves were taken by a potentiostat (Autolab PGSTAT12) in a two-electrode-setup. Potential steps from −125 mV to +100 mV (steps of 25 mV, each 300 s) were applied between SE and RE and the resulting current was recorded.
Sample morphologies and layer thicknesses were analyzed by a scanning electron microscope LEO1450 VP (Zeiss). Figure 3 shows SEM images of cross sections of the sensor-like setup (Figure 3(a)) and the half-cell probe (Figure 3(b)). The gold electrodes have thicknesses of about 6 µm (sensor-like setup) and 8 µm (half-cell probe). Morphology and porosity of both Au electrodes are almost equal. The low roughness of the YSZ substrate can also be seen. According to [25,26] this leads to a small interface between YSZ and Au electrode. The VWT catalyst layers on top of the Au electrodes show a thickness of about 13 to 15 µm and the grain size is less than 1 µm. The images confirm the porosity of the catalyst film. The catalyst properties of both samples appear almost equal.

Sensor Response towards Ammonia
The characteristic curve of the sensor-like device of Figure 1(a) is shown in a semi-logarithmic representation in Figure 4. In our initial study in Reference [17], a stable sensor signal with a response time of at least 3 s and a reproducible behavior is reported. The linearity between sensor signal ΔV and log c NH 3 is in agreement with earlier results on the planar sensor device [17] and with the mixed potential theory (e.g., [22,23,27]). The NH 3 sensitivity at 550 °C, specified as the slope m of the characteristic curve, reaches 41 mV/decade c NH 3 . If one excluded the 10 ppm ammonia point from the fit, since it does not lay fully on the straight line, one would obtain 45 mV/decade c NH 3 . In Reference [17], a sensitivity of 88 mV/decade NH 3 was found. The smaller slope may be ascribed to different electrode morphologies and differences in the three-phase boundary area and the resulting number of electrochemically active sites. The planar sensor device in Reference [17] was based on an alumina substrate equipped with a screen-printed YSZ thick film as solid electrolyte. On top of the electrolyte layer, the two gold electrodes were applied, one covered with a porous VWT thick film. As consequence, a rough surface of the YSZ thick film combined with porous electrodes was obtained. In contrast, for the here-investigated sensor-like devices, the YSZ discs provide a smooth surface with little roughness. One would expect that the sensor signal (= difference of the electrode potentials) is independent on the TPB-length. By enlarging the TPB-length all electrochemical reactions at the TPB are affected similarly, due to an increase of the number of active triple-points for each reaction. As a result, the sensitivity should be independent on the three-phase boundary length. However for the here-presented NH 3 -sensor, a dependency of the NH 3 -sensitivity was observed. It increases with an increase in surface roughness and an increasing porosity of the electrodes. This result is in accordance to Liang et al. [25]. Therein, the influence of the surface roughness of YSZ-substrates on the sensitivity of an NO 2 -sensor was investigated. As a result, the sensitivity increased due to an increase in surface roughness. The effect is attributed to an enhanced effective three-phase boundary area: a larger contact area is related to more electrochemically active sites for electrochemical reactions yielding an enhanced sensitivity [25].  Hence, it is assumed for the investigated NH 3 -sensor that the higher sensitivity of sensors equipped with rough YSZ-thick films and porous electrodes can be explained by the larger TPB area. In contrast, sensors with YSZ discs show a lower sensitivity due to their smoother surface and the resulting smaller TPB area. Additionally, the electrodes on top of the smooth YSZ discs provide smaller porosity. However, the surface properties of the YSZ substrates are more stable and reproducible compared to screen printed YSZ thick-films, where some scattering of the sensitivities was always observed. Therefore, the half-cell measurements were conducted with samples based on YSZ substrates.

Electrode Potentials
In Figure 5(a), the time dependent behavior of a half-cell measurement is shown for the half-cell probe RE, Au | YSZ | Au, VWT, SE. The electrode potential, V, of the fully VWT-covered sensing electrode increases when ammonia is admixed stepwise to the SE side from 10 to 275 ppm NH 3 to the base gas of 10 vol.% O 2 , 6.5 vol.% CO 2 , 2.5 vol.% H 2 O and N 2 . Without NH 3 , if both electrodes, Au and VWT-covered Au, are exposed to the same base gas composition, a potential V 0 in the range of 0 to 5 mV occurred. For other electrode materials, e.g., Au, VWT vs. Pt, offset voltages from 0 to 10 mV were observed. Up to now, we have only an assumption to explain the offset voltages. They may originate from the Seebeck coefficient of YSZ, which under these conditions is approximately 500 µV/K [28,29]. Hence, a small temperature difference between both electrodes of only a few K (for 5 K: 2.5 mV) might lead to such an additional voltage. Additionally, a small thermo-voltage (range of mV) could originate from the Seebeck coefficient difference of the platinum contact leads of the half-cell setup and the Au-contact wire of the used Au-and Au, VWT-electrodes of the half-cell probe. This may lead to an additional thermo-voltage, however below 1 mV. A strong, stable, and reversible increase of the potential difference occurs when ammonia is present in the base gas (all measurements with the same sample were repeated three times; further investigations of the sensor itself (not published) showed no hysteresis effects between increasing and decreasing concentration steps; the sensitivity of one sample is stable and reproducible over at least 10 measurement cycles). This is the first indication that the electrode potential of the VWT-covered Au-electrode is responsible for the sensor effect. In contrast to the planar sensor in the exhaust [17], the response time determined by the half-cell experiments is very low since the slow gas exchange of the test bench limits the kinetics. The recovery time is apparently even lower. This is also attributed to the kinetics of the gas test bench in conjunction with the semi-logarithmic sensor characteristic (a low remaining ammonia concentration results in a marked sensor signal).
In order to quantify the NH 3 sensitivity, the steady state values, ΔV = V NH 3 − V 0 , are plotted versus the logarithm of the NH 3 concentration ( Figure 5(b)). Please note: due to the definition that follows the standards in electrochemistry, both ΔV and V have a negative sign for oxidation reactions of NH 3 and NO and a positive sign for the reduction of NO 2 . In order to be coherent with the point of view of sensor developers, they are plotted reversely. In the following we will use the expression "increase" meaning the absolute value of V and ΔV. The slope in this semi-logarithmic representation of the electrode potential ΔV reaches 47 mV per decade ammonia, which is in good agreement with the sensor signal discussed in the previous section (41 mV/decade c NH 3 ). This little difference compared with the sensor-like sample is a further hint that the ammonia sensor signal can be ascribed to NH 3 -dependent changes of the electrode potential of the VWT-covered Au electrode. NO and NO 2 show a comparable behavior obeying a semi-logarithmic law. The sensitivity towards NO is almost marginal (6 mV/decade NO), whereas the effect of NO 2 is in opposite direction with a slope of 29 mV/decade NO 2 . In comparison to NH 3 , the NO 2 effect is less pronounced. This agrees with results obtained for the planar sensing device published in Reference [17]. The opposite changes of the electrode potential during exposure to NH 3 and NO 2 can be explained by the standard electrode potentials of the assumed electrochemical electrode reactions. For the electrochemical oxidation electrode reactions (NH 3 or NO oxidation with oxygen ions from YSZ), a negative electrode potential occurs with reference to the oxygen electrode reaction (defined at 0 V for 1 bar). For the electrochemical oxidation of NH 3 , a standard electrode potential of −1.18 V (calculated at 623 °C) is stated in Reference [38]. In case of reduction reactions like the reduction of NO 2 (reduction of NO 2 to NO and oxygen ions) the electrode potential is shifted to positive values. The standard electrode potential of NO 2 reduction can be determined from [30] and is in the range of +0.05 V. The measured electrode potential is shifted from the oxygen electrode potential (defined at 0 mV) to more negative (respectively positive) electrode potentials by adding NH 3 (respectively NO 2 ) to the surrounding gas. The same overall behavior with lower sensitivities can be expected for the pure Au-electrode [14].
To investigate the effect of the VWT thick film on the electrochemical activity more in detail, the coverage degree of the Au electrode with the VWT catalyst layer was varied. As a first experiment, one half-cell probe Au | YSZ | Au was measured to analyze the electrochemical activity of the pure Au electrode. The same specimen was afterwards partially covered with the VWT catalyst layer. After the electrode potential dependence on the ammonia concentration was determined, the electrode was completely covered with VWT. Again, the electrode potentials were determined on the same half-cell probe. The VWT-coverage degree of the Au electrode can be obtained from the light optical microscope images in Figure 6. Figure 6(a) shows the uncoated pure Au electrode, Figure 6(b) the partially VWT-coated electrode, and Figure 6(c) shows the completely coated one. Here, Pt was used as the material for the RE on the opposite side.  Figure 7 shows the electrode potential in dependence on the NH 3 concentration (between 44 and 470 ppm) for these three SE configurations. All yield a typical semi-logarithmic characteristic behavior with stable and reversible signals. An NH 3 -dependent electrode potential occurs for the pure gold electrode with a (small) slope of 23.3 mV/decade NH 3 . Obviously, the electrochemical activity of Au cannot be neglected, a finding which is also consistent with literature for the YSZ | Au | NO 2 half-cell [14]. In base gas atmosphere, with 0 ppm NH 3 , the effect of the VWT-coverage can be neglected. At a VWT coverage degree of 60%, a sensitivity of 57 mV/decade NH 3 is obtained, whereas with 100% coverage, 88 mV/decade NH 3 are reached. The NH 3 -sensitivity m increases clearly with the VWT coverage degree of the Au-electrode. In the planar sensor device, both electrodes (Au and VWT-covered Au) are exposed to the analyte gas. The sensor signal corresponds to the potential difference between the Au-covered VWT electrode and the Au electrode. From half-cell investigations, the ammonia dependency of the electrode potential of the pure Au-electrode and the VWT-covered Au electrode was determined. The difference between these electrode potentials, V Au,VWT (c NH 3 )-V Au (c NH 3 ), for each ammonia concentration is plotted in Figure 8. Compared to the half-cell results, the sensor signal is lower as a consequence of the electrochemical NH 3 -activity of the half-cell Au | YSZ. The results confirm the dependency of the electrode potentials on c NH3 and the higher electrochemical activity of the VWT-covered electrode. The comparison of the slopes in Figure 4 (41 mV/decade for the sensor-like sample with both electrodes in measuring gas) and in Figure 5 (47 mV/decade for the half-cell signal of the Au, VWT-electrode with reference to a Pt electrode in reference gas) shows a difference of 6 mV/decade. It is expected that the difference is due to the contribution of the pure Au-electrode (in measuring gas). As described in [14], the electrode potential of a Au-electrode depends on the gas composition and can be correlated to the NO and NO 2 -concentration. The same behavior is assumed in case of NH 3 . Hence, a sensitivity in the range of 6 mV/decade NH 3 was deduced for the pure Au-electrode.
As shown in the half-cell experiments in Figure 7, a slope of 23 mV/decade NH 3 for the pure Au-electrode occurs. According to this result, the difference between the slopes of Figures 4 and 5 should be in the range of 20 mV/decade, but only 6 mV/decade have been observed.
In addition, when comparing the slopes of two half-cell measurements of the VWT-covered Au-electrode with different half-cell probes (47 mV/decade ( Figure 5) and 88 mV/decade (Figure 7 Au, VWT 100% )) a huge discrepancy is noticeable. These differences are a further hint of a non-Nernstian sensor behavior, because in case of equilibrium sensors the slopes should be equal for each sample. Here, it has to been noted that the experiments are tested with different samples and as known for mixed-potential sensor devices the scattering from sample to sample is a serious issue. As a consequence with respect to equal test conditions, the difference in the slopes can only be ascribed to fluctuations between actually similar samples (like differences in morphology, electrode and catalyst thicknesses, and interfaces YSZ | electrodes). According to mixed potential theory, two electrochemical reactions compete at the TPB and form a mixed electrode potential [22,23,31,32]. A mixed potential establishes if the reaction rates of the anodic and the cathodic electrochemical reaction are equal, i.e., the total net current flux equals zero. The mixed potential depends therefore on the reaction rates of the proceeding electrochemical reactions. In case of an ammonia sensor and an oxygen ion conducting electrolyte, the electrochemical oxidation of ammonia (1) and the reduction of oxygen (2) at the TPB are assumed to be relevant reactions. The reaction equations are written in Kröger-Vink defect notation [33]: V O  denotes a doubly positively charged oxygen vacancy in the solid electrolyte YSZ, whereas O O x stands for electrically neutral oxygen ions on oxygen lattice sites of YSZ and e' represents a conduction electron: From References [3] and [24], an expression for the mixed potential is deduced from Equations (1) and (2), leading to a theoretical slope of 54.4 mV/decade NH 3 at 550 °C. This value represents a first approximation of the resulting mixed potential, but considers only parameters like the partial pressures of NH 3 , O 2 , and H 2 O and the temperature. The reaction rates of the electrochemical reactions, catalytic properties of the electrodes, and adsorption properties of the electrodes are not included [10,27,[34][35][36]. More comprehensive approaches for theoretical description of the mixed potential can be found in References [10,27,32,34]. The classic mixed potential theory [10,22,34] bases on the Butler-Volmer equation, which can be investigated with I-V-curves. Another approach to explain the sensor behavior of non-Nernstian sensors is the differential electrode equilibria theory. The there-discussed sensing mechanism includes (besides the mixed potential theory) further electrode contributions like chemisorption processes and changes in the Fermi level of the electrode material, especially in case of semi-conducting oxide sensing electrodes [35][36][37].
Additionally, the catalytic properties of the applied electrode materials need to be considered [35][36][37], in our case with respect to the increasing sensitivity due to VWT coverage. Besides the well-known SCR-activity of VWT, especially in a lower temperature range, the oxidation of NH 3 with gaseous O 2 seems to play an important role at 550 °C. In Reference [24], conversion data of VWT powder are published, obtained in a vertical reactor at 550 °C using 1 g VWT-powder. It is shown that 50% of the ammonia are oxidized in a gas phase reaction with gaseous oxygen, leading to the well-known reaction products NO, NO 2 , N 2 O, and N 2 [18,38].
The catalytic conversion efficiency of the VWT thick film on top of the sensor device differs from that of the VWT powder due to a difference in the residence time of ammonia. For the vertical reactor with an external gas flow of 1 L/min a gas velocity of 3.4 cm/s can be calculated. The packed bed of the VWT powder had a height of approximately 0.3 cm. A residence time t VWT powder of the gas in the powder of around 90 ms results and a conversion of 50% NH 3 was achieved. In contrast, the VWT layer on top of the sensing electrode of the sensor device provides a thickness of 10 to 15 µm and only a small amount of powder (some mg) is necessary for that layer. The gas flow through the catalyst thick film is governed by diffusion. The diffusion through a porous medium can be described by the effective diffusion coefficient for ammonia D NH3, eff [39,40] and is calculated by: with the gas diffusion coefficient of ammonia, D NH 3 , gas , the porosity of the catalyst layer, ε, and the tortuosity factor, τ. The parameter ε/τ is determined to be approximately 0.055 with a porosity of the VWT thick film of 30% evaluated from Figure 3(a) [40]. The calculated effective diffusion coefficient at 550 °C is D NH 3 , eff = 0.067 cm 2 /s. For a diffusion length d VWT, thick film of 10 µm (= VWT layer thickness) a residence time t VWT thick film of 7 µs can be estimated: Obviously, NH 3 resides in the fixed bed by far longer in the VWT catalyst than in the case of the thick film electrode cover. Hence, one can expect that the ammonia oxidation on the VWT thick film is by far lower than the 50% achieved in the fixed bed reactor. As a consequence of the low conversion efficiency most of the ammonia diffuses through the VWT cover layer without being oxidized. Only a fraction of ammonia is oxidized to NO x , N 2 , and N 2 O. Besides ammonia the reaction products, mainly N 2 and NO x , reach the TPB.
The gas composition present at the TPB differs from that in the gas phase due to the catalytic conversion at VWT. The concentration of NH 3 is only slightly lower than in the gas phase. The small oxygen concentration change (change in the ppm range, compared to an entire c O 2 of 10 vol.% in the gas phase) is considered as marginal. Additionally, the NO and NO 2 concentration at the TPB are higher (some ppm) compared to the gas phase (0 ppm). It is suggested that, in sum, O 2 , NH 3 , NO and NO 2 are present at the TPB and each of these gas components could contribute by an electrode reaction to the measured electrode potentials. However, by comparing the marginal NO sensitivity and the opposite NO 2 signal to the strong NH 3 response, it is deduced that the contribution of the reaction products NO and NO 2 to the electrode potential play only a minor role. The electrode reaction of ammonia seems to explain the electrode potential shift. The effects of NO, NO 2 , and NH 3 on polarization curves will be shown and discussed in Section 3.3 (see Figure 13).
It is assumed that both electrochemical reactions ( (1) and (2)) occur simultaneously at the TPB Au | YSZ | O 2 , NH 3 yielding to the NH 3 dependence of the electrode potential V Au . For the pure Au electrode, all NH 3 can reach the TPB, but only a small fraction of the gaseous NH 3 is oxidized electrochemically due to the low electrochemical NH 3 activity of Au (low sensitivity). As discussed previously, most of the NH 3 reaches the TPB, even if the Au electrode is covered with VWT and then both electrochemical reactions can proceed. With respect to mixed potential theory, the reaction rates of the concurring electrochemical reactions (1) and (2) determine the formed mixed potential. It is assumed that the VWT catalyst layer changes either the oxygen reduction reaction or/and alters the ammonia oxidation reaction. According to SCR theory the initial step of the SCR mechanism is the adsorption of ammonia on vanadia sites followed by an activation of NH 3 [41]. The activated NH 3 species could be responsible for the increased electrochemical activity. In [42], a similar behavior was observed. It has to be mentioned that in contrast to the here discussed ammonia sensor setup, the influence of the catalytic activity of the sensing electrode material itself, directly related to the TPB, was investigated in [42]. The sensitivity of the presented CO sensor increases with increasing catalytic activity of the sensing electrode material due to changes in the anodic and cathodic reactions.
In order to obtain more information about the electrochemical oxygen reaction, the dependency of the electrode potential on the O 2 concentration was investigated with the half-cell experiments. For that purpose, the oxygen concentration on the measuring side was varied stepwise from c O2 = 0. ). An offset voltage of 10 mV was determined for the Au, VWT electrode whereas a smaller offset (0 to −4 mV) was observed for Au and Pt. As explained before, the offset voltage could be explained by a temperature gradient over the half-cell probe resulting in a thermo-voltage due to the high Seebeck coefficient of YSZ [29]. A further small contribution (<1 mV) may stem from thermo-voltages of the lead materials. In summary, the electrodes provide a comparable electrochemical oxygen activity, independent on the VWT coverage. In addition, the results in Figure 9 demonstrate the tightness of the half-cell setup. Even at a high oxygen concentration difference between reference and measuring side (21 vol.% compared to 0.5 vol.% O 2 ), the Nernstian behavior indicates a negligible gas exchange between both gas compartments.
It is concluded from the Nernstian behavior that the electrochemical gaseous oxygen reaction on the TPB boundary according to Equation (2) is not affected by the VWT catalyst layer and that the fully VWT-covered electrode behaves also like an equilibrium oxygen electrode. But it has not yet been proven how the reaction rates of the oxygen reduction, and especially of the ammonia oxidation, behave if ammonia is present in the gas atmosphere. Therefore, voltage-current or polarization curves were conducted according to the classic mixed potential theory [10,22,34] based on the Butler-Volmer equation.

Polarization Curves
Polarization curves were performed to analyze the effect of the VWT catalyst coating on the electrochemical characteristics. I-V-curves were taken on the same half-cell probe RE, Pt | YSZ | Au, (VWT), SE, onto which VWT was added subsequently. The results of the polarization curves are shown in Figures 10 and 11.
A voltage from −125 to 100 mV (25 mV steps, 300 s each) was applied to the SE and the resulting current between SE and RE was measured. Figure 10 shows the NH 3 dependency of the I-V-curves of the cell Au | YSZ. The electrode potential, V 0 , corresponding to the voltage at a current of 0 nA, shifts with increasing ammonia concentration to more negative potentials. In base gas, a V 0 ≈ −25 mV can be determined, whereas with 230 ppm NH 3 a value of −60 mV occurs. The shape of the curves remains unaffected by the ammonia concentration. At a fixed potential, i.e., in an amperometric operation mode, the current increases slightly with increasing NH 3 concentration. It is suggested that more charge can be transferred due to generated electrons during the electrochemical NH 3 oxidation (Equation (1)). However, one should notice here that the measured current is less than 100 nA, indicating that only a small current is generated by the electrochemical reactions.  Figure 11. Polarization curves for the half-cell VWT, Au | YSZ with reference to a Pt electrode, recorded at 550 °C, as it depends on the ammonia concentration, c NH3 , as indicated.
In contrast, the VWT catalyst layer influences strongly the polarization behavior of the Au, VWT | YSZ half-cell ( Figure 11) when NH 3 is present in the gas. A strong shift of the electrode potential V Au,VWT to negative values and a changed curve shape occurs. The shift can be explained by the standard electrode potential of NH 3 oxidation in equilibrium. In Reference [30], a value of −1.18 V was calculated from thermodynamic data at 623 °C related to the electrode reaction with O 2 (0 V for 1 bar). This indicates the contribution of the electrochemical oxidation of ammonia to the electrode potential resulting in the formation of a mixed potential. The measured standard electrode potential is close to the oxygen reaction potential and therefore still dominated by the electrochemical oxygen reaction with an additional mixed potential. Interestingly, contrary to the pure Au electrode, the shape of I-V-curves changes also. These effects and the observed higher current may be attributed to the electrochemical NH 3 -oxidation at the TPB Au, VWT | YSZ, which is supported probably by the catalytic active VWT-layer. At a constant applied potential, the resulting current and the current change during ammonia addition is higher compared to the pure Au electrode. Different electrochemical kinetics of the pure Au and the VWT-covered Au electrode, due to the catalytic properties of the VWT film, could be the reason [42]. Additionally, the adsorbed species and their activity can be affected by the VWT film and influence the electrode potential [30].
The reaction rates are characterized by the exchange current and can be analyzed by Butler-Volmer and mixed potential theory [10,34]. The polarization curves represent the kinetic behavior of the electrode and accordingly, the mixed potential is formed when the anodic and cathodic reaction proceed with an equal reaction rate. To quantify the anodic NH 3 oxidation reaction (Equation (1)) and the cathodic O 2 reduction reaction (Equation (2)) separately, modified polarization curves have been calculated [10,42,43] as described below. Figure 12 compares the modified polarization curves for the cathodic O 2 reduction (Figure 12(a)) and the anodic NH 3 oxidation (Figure 12(b)) for the half-cells Au | YSZ and VWT, Au | YSZ at 550 °C. In Figure 12(a), for the measurement in lean base gas, the absolute current values are plotted versus the potential, V. The cathodic modified polarization curves (Figure 12(a)) correspond to the absolute current values of the base gas curves in Figure 10 respectively Figure 11. For the anodic reaction, I-V-curves have been recorded in base gas atmosphere with NH 3 , so the cathodic oxygen reaction proceeds also. The anodic polarization curves  The modified polarization curves for the cathodic reaction in base gas (Figure 12(a)) for Au and VWT-covered Au electrodes behave almost similar. Only negligible differences are visible. It is assumed that the cathodic reaction is barely changed by the VWT cover. This agrees with the characteristics of the electrode potential presented in Figure 9. Again, it has to been noticed, that the current is very low (<100 nA), indicating that the reaction rate of the oxygen reduction is small and hardly proceeds at the three-phase boundaries of both half-cells. In contrast, the anodic polarization curves illustrated in Figure 12(b) behave differently. The current generated by the anodic NH 3 oxidation on the pure Au electrode is almost constant (25 nA) over the investigated potential range. The VWT-covered Au electrode provides a higher current, but the current is still in the nA-range. The difference in the modified anodic polarization curves indicates that the VWT cover of the Au electrode enhances the anodic NH 3 reaction, whereas the cathodic O 2 reaction is only marginally influenced by the VWT layer. With increasing NH 3 concentration, a higher current can be observed, i.e., more ammonia can be oxidized in the anodic reaction.
In addition, voltage-current curves of the half-cell Au, VWT | YSZ were recorded during exposure to NO and NO 2 in base gas. Here, a Au-reference electrode, exposed to constant base gas was used. In this case a current (−90 to +90 nA, 10 nA steps) was impressed to the sample and the resulting voltage was measured (instead of applying a voltage and measuring the current). The determined V-log |I |-curves are shown in Figure 13 for base gas and base gas with NO (85 ppm), NO 2 (75 ppm), or NH 3 (60 and 275 ppm). All curves behave as expected from Butler-Volmer theory. The electrode potential can be determined from the intersection of the curves with the abscissa at a current of I = 0. An electrode potential of −3 mV occurs in base gas. It remains almost constant when NO is added (−3.5 mV). A larger effect occurs with NO 2 . As expected, the potential is shifted to +18 mV towards  It becomes clear from Figure 13 that the kinetic behavior is dominated by the alteration of the electrode potential, whereas the shape of the curves is almost unaffected by the gas composition. This can be explained by the difference in the gas concentrations of the involved gas species. Oxygen is permanently present in excess (10 vol.%), whereas the test gases (NH 3 , NO and NO 2 ) are added only in the ppm range. It can be deduced that the electrode potential is dominated by the oxygen reaction and the oxygen standard electrode potential (defined at 0 mV). At a lower O 2 concentration (around 1 vol.%), an increased sensitivity to NH 3 was observed [17]. In this case, the influence of the oxygen concentration on the resulting electrode potential decreases and the ammonia effect on the value of the electrode potential increases. The electrode potential of the Au, VWT | YSZ half-cell is shifted to −220 mV at 1 vol.% O 2 and 470 ppm NH 3 compared to −90 mV for 10 vol.% O 2 and 470 ppm NH 3 . At about 0 vol.% O 2 (no O 2 was added to the gas feed, but a low oxygen partial pressure is still present) and 470 ppm NH 3 an electrode potential of −380 mV was determined (not shown here). The electrode potential shifts with decreasing oxygen concentration to more negative values towards the standard potential of ammonia oxidation. The effect of NH 3 concentration becomes stronger with decreasing c O2 , but still both electrode reactions define the electrode potential. This is a further hint for mixed potential mechanism.
A smaller effect occurs during exposure to NO 2 and especially NO. The influence of the NO concentration on the V-log |I |-curves is marginal and the effect of the NO concentration at the TPB on the electrode potential can be neglected. From catalytic conversion data on VWT catalyst powder it is deduced that only a small NO conversion to NO 2 occurs on the catalyst layer [44]. Additionally adsorption of NO on VWT can be neglected according to the SCR mechanism [41,45,46]. Therefore, the concentration of NO at the TPB is equivalent to that in the gas phase. As result, the half-cell Au, VWT | YSZ is almost insensitive to NO. A corresponding result for the half-cell Au | YSZ was found in Reference [14]. In contrast, NO 2 yields to a marked change in electrode potential, a shift to positive electrode potentials occurs. At the catalyst layer, a small fraction of NO 2 is converted to NO, but most of the NO 2 in the gas phase also reaches the TPB. An electrode reaction of NO 2 at the TPB is expected. It results in the shift of the electrode potential towards the standard electrode potential of NO 2 reduction. These results are consistent with the results for the half-cell Au | YSZ in [14]. In summary, the results prove that electrochemical reactions with NH 3 and NO 2 take place at the TPB, whereas NO yields a marginal effect. The different shifts (direction and magnitude) of the electrode potentials due to NH 3 or NO 2 exposure confirm the assumption that the NH 3 , which reaches the TPB, contributes to an electrode reaction itself and the reaction products of the NH 3 oxidation at the catalyst layer (mainly N 2 , NO and NO 2 ) are not responsible for the sensor effect. Hence, a small overlapping effect of the NO 2 electrode reaction is conceivable.

Conclusions
Half-cell measurements of Au | YSZ and Au, VWT | YSZ demonstrate that both electrode potentials depend on the ammonia concentration and are shifted in the anodic direction. The NH 3 sensitivities agree well with sensor results presented in [17], and allow a deeper understanding of the characteristics of this sensor. The potential of the VWT-covered Au electrode, V Au,VWT , is strongly influenced by NH 3 exposure and dominates the sensor characteristics. The potential shift confirms the formation of mixed potentials at both half-cells. The sensitivity increases clearly with increasing VWT coverage of the Au electrode, confirming that the VWT layer is responsible for the sensor effect. Additionally, the electrochemical kinetic seems to be affected by the VWT catalyst layer. Polarization curves and the calculated modified polarization curves verify Butler-Volmer behavior of the electrochemical reactions. However, the low current (range below 200 nA) is an evidence for slow electrochemical conversion. The VWT coverage enhances the anodic reaction of NH 3 , whereas the cathodic oxygen reaction remains almost unchanged, resulting in a strong shift of the electrode potential V Au,VWT in the anodic direction. The catalytic properties of the VWT layer seem to be responsible for the enhancement of the electrochemical NH 3 oxidation in contrast to the pure Au-electrode. Besides the formation of an activated ammonia species which could be responsible for the enhanced electrochemical activity, adsorption processes and surface effects on the electrodes could be involved, as discussed in differential electrode equilibria theory.