Open Access Article
Krishna Teja Valeti
a,
Kazi Rifat Bin Rafiq
ab,
William A. Callahan
c,
Dino Klotzde,
Andriy Zakutayev
c,
Ryan O'Hayre
a and
Anna F. Staerz
*a
aMetallurgical and Materials Engineering, Colorado School of Mines, 1500 Illinois St, Golden, CO 80401, USA. E-mail: astaerz@mines.edu
bMechanical Engineering, Colorado School of Mines, 1500 Illinois St, Golden, CO 80401, USA
cMaterials Science Center, National Laboratory of the Rockies, Golden, Colorado 80401, USA
dWPI-International Institute for Carbon-Neutral Energy Research (I2CNER), Kyushu University, Japan
eDepartment of Materials Science and Engineering (DMSE), Massachusetts Institute of Technology (MIT), Cambridge, USA
First published on 17th February 2026
This work highlights the capability of coupled spectroscopic and electrochemical techniques to probe dynamic surface processes under realistic operating conditions. By simultaneously employing in situ diffuse reflectance infrared Fourier transform spectroscopy (DRIFTS) and electrochemical impedance spectroscopy (EIS), we elucidate the mechanistic interaction between Ga2O3 and hydrogen under elevated temperatures in a low-oxygen environment. This novel spectro-electrochemical approach allows chemistry to be correlated with the surface charge density of Ga2O3. Our results reveal a concentration-dependent transition in reaction pathway. At low concentrations, hydrogen reacts with ambient oxygen to form surface hydroxyls. At intermediate concentrations, hydrogen interacts with surface adsorbed oxygen to generate hydroxyl groups along with reducing the surface. Finally, at high H2 concentrations, hydrogen reduces both hydroxyls and surface oxygen, leading to a highly conductive grain surface. As a result, hydrides form on the reduced Ga2O3 surface. The gained insights are relevant for heterogeneous catalysis and gas sensing.
During a reaction, the catalyst surface forms chemical bonds with reactants, facilitating the breaking of intramolecular bonds and the formation of new ones. It is widely understood that changes in the electron density of the catalyst surface can occur during operation. The importance of surface electronic structure was first identified in the 1960s by F. F. Wolkenstein, who examined the catalytic behaviour of semiconductor surfaces.6 According to his theory, monitoring changes of the surface electron density during reactions should provide complementary information to studies focused on surface chemistry.6 Building on our previous work on fuel cell materials, we have shown that impedance spectroscopy is ideally suited to gain information in situ about the electron density on the catalyst.7 In impedance spectroscopy, a system in equilibrium is perturbed with an AC sinusoidal signal at different frequencies. From changes in the amplitude and phase shifts of the output signal, charge-transfer processes with varying time constants can be differentiated. The perturbation amplitude is selected so that the system remains in quasi-equilibrium, therefore, the measurement should not alter the catalytic behaviour.8
An example of an important problem in the field of surface science is the mechanism of the interaction between an oxide surface and gas molecule at operating conditions, for example interaction of Ga2O3 and hydrogen at elevated temperatures. The interaction, especially in a low oxygen background is relevant for both gas sensing and catalysis. Early work by Fleischer et al. found that porous Ga2O3 films could be used to reversibly detect high hydrogen concentrations in a nominally inert environment at high temperatures (∼500 °C).9,10 In catalysis, the formation and the reactivity of hydrogen adsorbed on Ga2O3 is important in the context of water–gas shift activity and its activity in methanol synthesis and methanol steam reforming.9,11 While chemical species involved in catalysis have been extensively studied, the role of surface electron density in catalyst activity remains underexplored.12
Here we demonstrate the simultaneous measurement of diffuse reflectance Fourier transform infrared (DRIFT) and impedance spectroscopy and clarify the interaction of hydrogen with the Ga2O3 surface at elevated temperatures. Consistent with previous studies on Ga2O3, our DRIFT spectra show the formation of hydroxyl and hydride species, along with surface reduction. Using the novel set-up, we are able to advance the fundamental understanding of the reaction pathways. For the first time, we identified a switch in dominant reaction pathway with varying hydrogen concentration. At low concentrations, which had not yet been systematically examined in literature, we found that surface dipole formation is the prevailing mechanism. With increasing concentration, surface oxygen reacts with hydrogen to form hydroxyl groups. At high hydrogen concentrations, both the hydroxyl groups and surface oxygen react with hydrogen, likely leaving was water. This work serves as a proof of concept highlighting the usefulness of coupling DRIFT and impedance spectroscopy to study heterogeneous catalysts and gas sensor materials in situ.
For the in situ measurements, we used a custom measurement chamber machined out of aluminium equipped with a KBr window. The chamber is equipped with gold plated electrical probes and a Pt-resistive heater (Case Western). The exhaust oxygen concentration was measured using a Zirox SGM7 oxygen analyser. A current–voltage curve of the Ga2O3 layer at 500 °C in nominal nitrogen was measured using a Gamry 1000E potentiostat. The scan rate was 1 mV S−1, and the measurement was conducted from 0 to +3 volts. The in situ impedance measurements were done under open circuit using a MFIA (Zurich Instruments) between 5 MHz to 50 mHz. The gaseous environment in the chamber was varied using a computer-controlled gas mixing system (five mass flow controllers SFC5500s, Sensirion). The total flow was maintained at 500 ml min−1 throughout the measurement. Hydrogen was dosed from a 1% H2 tank balanced by nitrogen (General Air, 99.99%) and nitrogen (General Air, 99.99%) is used as the carrier gas. The complete in situ set-up is shown in Fig. 1a.
000 ppm (1%). The concentration versus time profile is given in Fig. 1b. IR spectra and impedance were measured once the sensor had stabilized under each condition. The points at which the spectra were taken are shown by stars in Fig. 1b. Each IR spectrum was acquired by averaging 160 scans collected with a resolution of 4 cm−1.
To evaluate the IR spectra, the relative absorbance was calculated. We reference the IR spectra taken during hydrogen exposure (purple stars in Fig. 1b) to the spectrum taken in the absence of hydrogen (green star). We selected this method as Olinger and Griffiths found that for DRIFTS measurements on absorbing samples, analysing the relative absorbance provides the best linear approximation of band intensity to adsorbate concentration, as shown in Fig. 2a.13 Applying the method, absorbance bands that increase with hydrogen exposure are related to functional groups that have formed because of the hydrogen exposure while absorbance bands that decrease with hydrogen exposure are either due to the removal or conversion of the associated surface species.
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| Fig. 2 (a) Schematic of the calculation used to calculate the relative absorbance spectra. (b) Schematic representation of the Ga2O3 depletion layer and the corresponding equivalent circuit. | ||
We use equivalent circuit modelling to extract meaningful information from the impedance spectra. A schematic of the physical system and the associated equivalent circuit model is shown in Fig. 2b. The Nyquist plots are given in the SI (S1–S3). Different processes contribute to the total impedance. Ga2O3 shows n-type semiconducting behaviour at elevated temperatures due to anion vacancies charge-compensated by electrons.14 In the sensor field, highly porous n-type metal oxide-films operated in the presence of oxygen are thought to have a charge depletion region at grain surfaces as a result of oxygen chemisorption.15 In the highly porous layers (not sintered) electrons must cross the potential barriers between adjacent grains to flow from one gold electrode to the other. In the equivalent circuit, these grain–grain barriers are modelled as capacitive elements in parallel with a resistor.
The Ga2O3 bulk is then modelled as the resistive element in series with the grain boundaries.16–20 The electrode-grain contact depends on the work functions of both and is modelled as a capacitive element in parallel with a resistor. This component is in series with the bulk and grain–grain elements. In the depletion regime operation, the hundreds of grain–grain elements present in between the electrodes should dominate the total impedance and the contribution from electrode-grain contact should be negligible (Fig. 2b).21–23
The fits of the attained Nyquist plots using the equivalent circuit were done using Z-fit analysis (Z-view). The grain boundaries are modelled as a parallel resistor–capacitor circuit. The capacitance extracted for the surface reaction of the complete Ga2O3 layer using this equivalent circuit model from the Z-fit is found to vary with change in the resistance attributed to the grain–grain junction. This is in line with previous work in the sensor field.20 The capacitance of the high frequency semicircle is in the picofarad range which has previously been attributed to the alumina substrate.18–20
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| Fig. 3 (a) SEM image of the Ga2O3 sensitive layer surface is shown. (b) Pattern match analysis of β-Ga2O3. | ||
To verify that the absorbance bands are not due to gaseous hydrogen or the interaction with other cell components, a reference IR spectrum in 10
000 ppm H2 (reference state nominal nitrogen, ∼90 ppm O2 in the exhaust) was measured, see Fig. 4b. There are no significant increasing or decreasing bands visible in the IR spectra under these conditions.
In the measurement done at 500 °C, there are five discrete regions visible in the impedance results with increasing H2 concentrations. These regions are also correlated with varying surface chemistry indicated in the DRIFT spectroscopy measurements. The relative absorbance IR spectra are shown in Fig. 5. For the impedance data, one parallel capacitance and resistance element was used that encompasses both the grain–grain and the electrode-grain contributions—corresponding to the red box shown in Fig. 2b. Under depletion region conditions, the grain–grain junctions will dominate the impedance. The grain–grain junction resistance (circles) and capacitance (triangles) extracted from the corresponding impedance data are shown in Fig. 6. In the different regions, the increasing concentrations are indicated by increasing darkness of colour. The colours are matched between Fig. 5 and 6.
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| Fig. 5 DRIFT relative absorbance spectra overview of the Ga2O3 sample at 500 °C during exposure to different concentration of hydrogen in nominal nitrogen (∼90 ppm O2 measured in exhaust). | ||
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| Fig. 6 Overview of junction resistance and capacitance extracted from the impedance measurements measured on the Ga2O3 sample at 500 °C simultaneously to the IR spectra. | ||
000 ppm hydrogen)The results of the measurement done at 500 °C are summarized in Table 1.
| Chemical Pathways at 500 °C | |||||||
|---|---|---|---|---|---|---|---|
| Region | H2/ppm | Inter-grain junction | DRIFT rel. absorbance bands | Chemical pathway | |||
| Capacitance | Resistance | Hydroxyl | Hydride | M–O | |||
| 1 | <75 | — | ↓ | ↑ | — | — | Dipole formation |
| 2 | 100–200 | ↑ | ↓ | ↑ | — | ↓ | Reduction through hydroxylation |
| 3 | 250–500 | — | — | — | — | — | Saturation |
| 4 | 750–3000 | ↑ | ↓ | ↓ | ↑ | ↓ | Reduction |
| 5 | 4000–10 000 |
NA | NA | ↓ | ↑ | ↓ | Total reduction |
The sample was let to recover in nitrogen (∼90 ppm residual O2). The total impedance recovered to the same level observed during the initial measurement in nitrogen before hydrogen testing. The initial and final impedance at 500 °C are summarised in Fig. S8. This reversible recovery confirms the physical stability of the sample under the test conditions. The measurement was repeated at 475 °C and at 450 °C. An overview of the DRIFT spectra and the corresponding resistance and capacitance behaviour is given in the SI S4 and S5. The change in intensity of the band attributed to the reduction and of that attributed to hydride formation were extracted from the single channel for each hydrogen concentration. The change in band intensity versus the change of the inter-junction resistance for all three temperatures is summarized in Fig. 7a and b. The hydroxyl region was not included as there is a significant overlap between bands which at times are both increasing and decreasing.
In Fig. 7a, there is a clear correlation between the decrease in junction resistance and the decreasing band associated with surface reduction. The result is very similar for all three temperatures. In Fig. 7b, there is a clear difference between the different temperatures. From the enlarged inset, it is clear that the relation between the IR band intensity and the resistance is not monotonous.
We extracted the resistance values at three different concentrations representative of the regions that show different dominant catalytic behaviour in all three temperatures. For region one (yellow in Fig. 5), we selected 50 ppm; for region two (blue in Fig. 5) 150 ppm; for region four (grey in Fig. 5) 2000 ppm. We then used these values to determine the activation energy of the different processes using the following relation:
![]() | (1) |
The geometric capacitance contributed by the substrate remained largely unchanged throughout the hydrogen concentrations, given in S6. The overview of the bulk and contact resistances at different temperatures is given in S7.
![]() | (2) |
The results indicate that in region one (low hydrogen concentrations) dipole formation in the form of hydroxyls is dominant. As no reduction is visible in the IR and no significant capacitance change was seen, this dipole formation is likely due to the combined interaction and adsorption of hydrogen and the residual oxygen (∼90 ppm O2). The activation energy of ∼1 eV calculated from the Arrhenius plot for this process is in line with those reported in literature for the catalytic dissociation of water on metal oxide surfaces.27
The processes found to dominate at higher hydrogen concentrations were associated with higher activation energies determined from the Arrhenius plots. While hydroxyl formation is still visible in the second region, it is now accompanied by a decrease in the IR region associated with gallium oxygen bonds. In line with a surface reduction, the decrease of resistance is accompanied by an increase in capacitance. This behaviour aligns with the relationship derived by Kappler for capacitance and resistance of grain–grain junctions. Based on his modelling, in n-type semiconductors assuming a surface depletion mechanism, the resistance is exponentially proportional to band bending while the capacitance is inversely dependent on the square root. The extrapolated activation energy of 2.2 eV is within the reported range associated with hydroxylation of surface oxygens on oxides.28
At 500 °C, between 250 and 500 ppm H2, there is no substantial change in resistance or capacitance. In the IR both the reduction and the hydroxyl group formation have saturated, i.e. no change with increasing hydrogen concentration. Above 750 ppm (at 500 °C), the process with the highest activation energy dominates. A clear decrease in the IR region associated with gallium oxygen bonds is now accompanied by a decrease in surface hydroxyls. In this region the resistance is decreasing, and the capacitance is increasing. The dependence of resistance and capacitance on the concentration is weaker (less steep slope in Fig. 6) than for lower H2 concentrations.
In this region, the formation of hydrides is visible in the IR. The formation of gallium hydrides, which are –H− species, indicates that the grain surface is strongly reduced and becomes electron rich. This enables transfer of electrons to hydrogen to form hydrides. As a result, the grain–grain junctions no longer exhibit an intergranular potential barrier but instead offer a high conductivity pathway. We believe that in this accumulation regime the electrode-grain contact is responsible for the low frequency process. This is supported by the varying, concentration-dependent slope of both the capacitance and the resistance. The corresponding equivalent circuit for this regime is shown in Fig. 8.29 Upon further increasing the hydrogen concentration, the electrode-grain contact appears to become ohmic. The overall resistance of the sample is now very low (<100 Ω), and equivalent circuit fits are no longer possible.
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| Fig. 8 Schematic representation of the Ga2O3 accumulation layer and the corresponding equivalent circuit. | ||
We believe that the influence of the strong surface reduction masks the electronic effect of the hydrides. The dominant influence of surface reduction on the resistance change is supported by the relations shown in Fig. 7a and b. Our results also indicate that hydrides cannot be used as a proxy for the level of surface reduction. The band intensity associated with hydrides (related to concentration) is highest at 450 °C. Our results indicate however that the surface is more heavily reduced in high hydrogen concentrations at 500 °C, indicated by low junction resistance and higher intensity of the band associated with reduction. This is likely due to a decrease in the stability of surface hydrides at higher temperatures. The high activation energy, ∼5 eV is within the range predicted for surface oxygen vacancy formation, which is necessary for hydride formation.30
The transition points between the different regions shift to higher concentrations at lower temperatures. The grain-electrode contact is visible within the entire hydrogen concentration range at temperatures below 500 °C. This behaviour is expected as chemical activity is inherently linked to temperature; accordingly, a higher level of hydrogen should be required to reduce beyond the surface at 450 °C and 475 °C than at 500 °C.
Specifically, the study provides conclusive evidence that surface reduction processes drive the pronounced changes in electrical conductivity observed in polycrystalline Ga2O3 films at elevated temperatures (around 500 °C) when exposed to hydrogen in otherwise inert atmospheres. Our results also indicate that the presence of low levels of residual oxygen is responsible for the reversibility of this change in resistance.
This work validates the performance and versatility of the custom-designed in situ pectro-electrochemical system. The results also clearly demonstrate that the electron theory of catalysis is not in conflict with mechanistic studies that focus on the evolution of chemical species. Instead, the approaches deal with different aspects of catalysis. As surface chemistry and electronic behaviour is intimately linked, their simultaneous study offers complementary insights into the same catalytic processes. In the future, the presented methodology can be extended to investigate a wide variety of materials, at elevated temperatures (<500 °C) and environments, conditions relevant for work in heterogeneous catalysis, sensing, and energy conversion applications.
Supplementary information (SI) is available. See DOI: https://doi.org/10.1039/d5lf00353a.
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