# High performance III-V photoelectrodes for solar water splitting via synergistically tailored structure and stoichiometry

## Abstract

Catalytic interface of semiconductor photoelectrodes is critical for high-performance photoelectrochemical solar water splitting because of its multiple roles in light absorption, electrocatalysis, and corrosion protection. Nevertheless, simultaneously optimizing each of these processes represents a materials conundrum owing to conflicting requirements of materials attributes at the electrode surface. Here we show an approach that can circumvent these challenges by collaboratively exploiting corrosion-resistant surface stoichiometry and structurally-tailored reactive interface. Nanoporous, density-graded surface of ‘black’ gallium indium phosphide (GaInP2), when combined with ammonium-sulfide-based surface passivation, effectively reduces reflection and surface recombination of photogenerated carriers for high efficiency photocatalysis in the hydrogen evolution half-reaction, but also augments electrochemical durability with lifetime over 124 h via strongly suppressed kinetics of corrosion. Such synergistic control of stoichiometry and structure at the reactive interface provides a practical pathway to concurrently enhance efficiency and durability of semiconductor photoelectrodes without solely relying on the development of new protective materials.

## Introduction

High-efficiency, high-durability materials for photoelectrochemical (PEC) solar water splitting have been the subject of intense research efforts over the past decades owing to their significant potential to economically produce a pollution-free energy carrier, hydrogen, as well as address the inherent intermittency of solar electricity1,2,3,4,5,6,7,8,9. Among various materials systems considered, a host of superior materials properties including a direct bandgap, appropriate band-edge energetics, as well as ability to monolithically form multiple solid-state junctions with an ideal bandgap combination for absorbing sunlight render III–V compound semiconductors such as gallium arsenide (GaAs) exceptionally attractive for photocatalytic electrodes in solar-driven photoelectrochemical water splitting4,5,10,11,12. Nonetheless, practical utilization of these materials in solar water splitting has been severely hampered largely due to their inherent thermodynamic instability against corrosion in a wide range of pH under relevant electrochemical potentials of water electrolysis reactions13,14,15,16. Developing robust protective materials for semiconductor photoelectrodes, however, represents a materials conundrum owing to sophisticated and often conflicting requirements of materials attributes at the reactive interface, where processes in optical absorption, charge transfer, electrocatalysis, as well as protection from corrosion must be simultaneously considered and optimized13,16,17,18,19.

Gallium indium phosphide (Ga0.51In0.49P, referred to as GaInP2), a ternary alloy lattice-matched to GaAs, is an indispensable materials component for realizing a ultrahigh (>20%) solar-to-hydrogen efficiency due to its near-ideal bandgap energy (~1.8 eV) for the large-bandgap material in multijunction photoelectrodes4,5,12. In such tandem systems of solar water splitting, the GaInP2-based top junction is directly exposed to a liquid electrolyte, thereby responsible for not only driving one of the water-splitting half reactions (i.e., hydrogen or oxygen evolution) but also serving as the first optical interface for receiving sunlight. Minimized optical losses and electrochemical durability in corrosive electrolytes are therefore two of the most important materials attributes desired for GaInP2 photoelectrodes. While Fresnel reflection at the semiconductor/water interface instantly loses a large fraction (~20–25%) of incident solar illumination5,11, dielectric thin films (e.g., Si3N4) frequently employed as an antireflective coating (ARC) in photovoltaic devices are not suitable for PEC photoelectrodes because of their inherent instabilities in highly acidic or alkaline electrolytes, poor charge transfer characteristics, and/or the low or lack of catalytic activities in water splitting reactions. In this regard, approaches that can reduce front-surface reflection while enhancing catalytic efficiency and corrosion resistance have been highly sought after as they can realize the full potential of GaInP2 and, in a broader context, III–V-based photoelectrodes in solar water splitting10,20,21,22,23. Here, we report a strategy that can address these challenges without solely relying on additionally deposited protective materials. The presented scheme takes advantage of a synergistic combination of density-graded nanoporous materials interface with sulfur-based stoichiometric control to simultaneously achieve enhanced light absorption and catalytic efficiency, as well as suppressed kinetics of corrosion. In the following, systematic studies of optical, morphological, compositional, and electrochemical properties, together with numerical optical modeling based on finite-difference time-domain method, provide quantitative description of underlying scientific principles in the reported system based on GaInP2, a key material that can make an immediate impact to the development of ultrahigh efficiency solar-driven water splitting systems.

## Results

### Fabrication of surface-tailored GaInP2 photocathodes

As an active material for photocathodes in solar water electrolysis, p-type (Zn-doped, 2 × 1017 cm−3) GaInP2 with a thickness of 2.5 μm was grown on a (100) GaAs substrate by an atmospheric pressure metal organic vapor phase epitaxy (MOVPE)5,24. Figure 1a schematically illustrates fabrication procedures for surface-tailored GaInP2 photocathodes. The process begins with the oxide-removal of as-grown p-type GaInP2 in dilute NH4OH and chromium etchant, followed by dipping into an aqueous solution of silver nitrate (AgNO3) and hydrofluoric acid (HF). The silver cations in the solution are electrolessly reduced to form silver nanoparticles that can serve as a hard mask in successive dry etching of GaInP2, where the size and density of silver nanoparticles can be readily controlled by adjusting the concentration of precursors and/or plating time25,26. Subsequently, inductively coupled plasma reactive ion etching (ICP RIE) was performed using a gas mixture of BCl3/N2 to form cone-shaped nanopillars of GaInP2, followed by the removal of residual silver by a wet chemical etchant. After the formation of nanoporous morphology, chemical passivation of nanostructured surface was performed (Supplementary Fig. 1). The surface of ‘black’ GaInP2 was soaked in an aqueous solution of ammonium sulfide ((NH4)2S), followed by thermal annealing in air to incorporate corrosion-resistant surface stoichiometry. In the subsequent discussion, this two-step process consisting of (NH4)2S-passivation and thermal annealing is referred to as (NH4)2S-treatment unless additional specifications are provided. Figure 1b shows a tilt-view scanning electron microscope (SEM) image of the representative GaInP2 nanostructure after the dry etching (yet without (NH4)2S-treatment). The diameter of nanopillars gradually decreased from the bottom to the tip, thereby creating a graded index of refraction to suppress front-surface reflection26,27. The surface-tailored GaInP2 was then electrically connected with a copper wire on the metal contact at the backside of the sample and encapsulated by thermally cured epoxy to produce fully functional photocathodes ready for driving the hydrogen evolution half-reaction in solar water splitting28.

### Optical properties of black GaInP2 photocathodes

Efficient coupling of sunlight into the semiconductor photoelectrode is one of the key advantages for the reported black GaInP223,26. The average heights of GaInP2 nanostructure measured from the cross-sectional SEM images (Fig. 1c) were approximately ~60, ~320, ~450, and ~550 nm for etching times of 1, 2, 3, and 4 min, respectively. Overall, the height of nanopillars increased with the time of dry etching, while the rate of increase diminished after 2 min under the present experimental conditions. Figure 1d shows the corresponding total (i.e., sum of diffuse and specular) reflectance of nanostructured GaInP2 at near-normal incidence (θ = 8°) in air. The tapered nanopillars strongly suppressed the front-surface reflectance over a broad wavelength range owing to the improved impedance matching arising from a gradually varying refractive index26,29,30. The reflectance at 500 nm decreased from ~33% for bare GaInP2 to less than ~1% for nanostructured (3-min-etched) samples (Supplementary Fig. 2). The measured reflectance (solid line) quantitatively matched with the calculated spectra (dotted line) obtained from 3D full-wave numerical optical modeling based on finite-difference time-domain method (FDTD, LumericalTM) (Supplementary Fig. 3)29,31. Using the established numerical model, we also projected the absorption enhancement of nanostructured GaInP2 in the electrolyte (i.e., water) (Fig. 1e). The inset shows integrated solar flux absorption (Sabs) weighted over a simulated AM1.5 G solar illumination calculated by

$$S_{{\mathrm{abs}}}({\mathrm{\% }}) = \frac{{\mathop {\smallint }\nolimits_{400{\mathrm{nm}}}^{678{\mathrm{nm}}} \frac{\lambda }{{hc}}A(\lambda )I_{1.5{\mathrm{G}}}(\lambda ){\mathrm{d}}\lambda }}{{\mathop {\smallint }\nolimits_{400{\mathrm{nm}}}^{678{\mathrm{nm}}} \frac{\lambda }{{hc}}I_{1.5{\mathrm{G}}}(\lambda ){\mathrm{d}}\lambda }} \times 100$$
(1)

where h, c, A(λ), and I1.5G (λ) are Planck’s constant, the speed of light, calculated absorption, and the standard solar irradiance (AM 1.5 G; ASTM G-173), respectively11,29. The Sabs of black GaInP2 in water is ~92% (for 3-min-etched sample), which is considerably higher than the maximum absorption (~72%) of bare (i.e., without nanopillars) GaInP2 in water and can be directly translated to the enhanced electrode efficiency. These density-graded morphologies and reflectance spectra of dry-etched GaInP2 were also preserved after the (NH4)2S-treatment (Supplementary Fig. 4).

### PEC performance of black GaInP2 photocathodes in the HER

The PEC characteristics of black GaInP2 photocathodes in the hydrogen evolution reaction (HER) were studied in a three-electrode configuration under simulated AM1.5G solar illumination (1000 W m−2), where Pt and Ag/AgCl were used as counter and reference electrodes, respectively, with aqueous sulfuric acid (0.5 M H2SO4) as an electrolyte (Supplementary Fig. 5)11. All samples were measured without (NH4)2S-treatment. Figure 2a shows current density (J)-potential (E) curves of the nanostructured GaInP2 photocathodes prepared at various etching times, obtained from a linear sweep voltammetry from −0.5 to 0.4 V (vs. reversible hydrogen electrode (RHE)), where the data from the first scan were plotted (Supplementary Fig. 6). The efficiency (ηcathode) of GaInP2 photocathodes for the HER was calculated by,

$$\eta _{{\mathrm{cathode}}}({\mathrm{\% }}) = \frac{{J_{{\mathrm{max}}} \cdot (E_{{\mathrm{max}}} - E(H^ + /H_2))}}{{P_{{\mathrm{in}}}}} \times 100,$$
(2)

where Jmax and Emax are the current density and electrode potential at a maximum power point, E(H+/H2) is the thermodynamic HER potential, and Pin is the power density of simulated AM1.5G solar illumination11,32. While this diagnostic efficiency at three-electrode configuration does not fully capture the solar-to-hydrogen (STH) efficiency of overall water splitting reactions, it is employed here as a metric to compare the electrode performance quantitatively32. As summarized in Supplementary Table 1, the onset potential (Vonset) of all nanostructured GaInP2 photocathodes anodically (i.e., positively along the x-axis) shifted compared to the bare GaInP2 because of the reduction of local current density associated with the enlarged surface area and corresponding decrease of over-potential10,23. Although a dark current is also increased with the enlarged surface area, the kinetic advantage of a reduced local current density dominates in the trade-off of diminished voltage of a nanostructured surface with a large dark current. Consequently, both fill factor and efficiency greatly improved in nanostructured samples. On the other hand, the saturated current density (Jsat) slightly increased for 1-min-etched sample compared to the bare GaInP2 owing to the suppressed reflection loss but became smaller at longer etching times. This observation indicates a large degree of surface recombination of photogenerated carriers caused by plasma-induced crystalline defects and oxidation at the nanostructured surface, as supported by the severe attenuation of steady-state photoluminescence (PL) with the dry-etched GaInP2 (Fig. 2b, Supplementary Fig. 7). X-ray photoelectron spectroscopy (XPS) studies also support this analysis. In Fig. 2c, the Ga 2p5/2 peaks with binding energies of 1118.0 and 1116.7 eV observed from bare GaInP2 correspond to 3+ oxidation states for Ga2O3 and GaInP2, respectively. Notably, the integrated area of Ga–O peak, reflecting the relative amount of Ga–O bonding, substantially increased after the dry etching, suggesting the incorporation of oxygen atoms at the etched surface of GaInP2 and generation of defect states within the bandgap that can act as centers for non-radiative carrier recombination33,34. With similar origins, the relative amount of P–O (In–O) peaks increased over P–Ga (In–P) peaks after the formation of nanopillars by dry etching (Fig. 2d, Supplementary Fig. 8).

### Effect of (NH4)2S-treatment on PEC performance

To take a full advantage of black GaInP2 in light absorption, it is therefore essential to address the issue of increased carrier recombination associated with etching-induced surface oxidation but also to protect the nanoporous morphology from corrosion. To this end, we soaked the nanostructured GaInP2 in a dilute solution of ammonium sulfide ((NH4)2S), followed by thermal annealing in air (250 °C for 1 h, Supplementary Fig. 1)35,36. Figure 3a shows J–E curves of 4-min etched GaInP2 photocathodes before and after the (NH4)2S-treatment, plotted with the data for bare GaInP2 as a reference. For samples before the sulfur passivation, the saturated current density (~10.9 mA cm−2) of nanostructured GaInP2 was smaller than that (~13.3 mA cm−2) of bare GaInP2 owing to the above-described non-radiative carrier recombination. By contrast, the Jsat of the nanostructured GaInP2, after the (NH4)2S-treatment for 3 and 5 min, recovered to ~14.4 and ~15.2 mA cm−2, respectively, resulting in a large improvement of diagnostic efficiency (ηcathode) by over 100% (relative) compared to the untreated samples (Supplementary Table 2). Such large enhancement of Jsat was also accompanied by the partial recovery of PL intensities (Supplementary Fig. 9), as well as the reduced areas of Ga–O-related, P–O-related, and In–O-related peaks in XPS spectra (Fig. 3b, c, Supplementary Fig. 10), suggesting that the substitution of oxygen atoms by sulfur at the surface of nanostructured GaInP2 and corresponding decrease of oxide-related defect states effectively lowered the extent of surface recombination and thus restored the efficiency of charge transfer at the catalytic interface35,37. Along with the (NH4)2S-treatment, the performance of surface-tailored GaInP2 can be further enhanced by additionally depositing materials of high catalytic activity (i.e., co-catalyst) on the electrode surface such as noble metals or molecular catalysts. In the present study, a thin (~10–30 nm, Supplementary Fig. 11) layer of amorphous molybdenum disulfide (MoS2) was photochemically deposited on the nanostructured and (NH4)2S-treated GaInP2 as a HER co-catalyst (Supplementary Figs. 12 and 13). As expected, the MoS2 co-catalyst markedly improved the catalytic performance of surface-tailored GaInP2 in the HER, with a large enhancement in both onset potential and fill factor, resulting in the substantial increase of efficiency by ~20 times compared to the bare electrode (Supplementary Table 3).

### Electrochemical stability of surface-tailored GaInP2

To further elucidate the synergistic contributions of (NH4)2S-treatment and nanoporous surface morphology to the extraordinary improvement of corrosion-resistance, we examined the evolution of surface atomic composition in bare GaInP2 by XPS before and after the (NH4)2S-treatment (Fig. 4e), as well as with and without thermal annealing during the (NH4)2S-treatment (Supplementary Fig. 19). It is noteworthy that the (NH4)2S-treated bare GaInP2 that exhibited stable performance has peaks corresponding to sulfate (SO42−) group (the lower spectra in Fig. 4e), which was introduced during the thermal annealing in the (NH4)2S-treatment8,9 (Supplementary Fig. 19). Such sulfate (SO42−)-related and sulfide (S2-)-related signals are, however, completely missing in untreated bare GaInP2 (the upper spectra in Fig. 4e) that degraded rapidly. It is therefore concluded that the sulfate group on the sulfurized surface of GaInP2 played a key role in the strongly enhanced durability. On the other hand, the (NH4)2S-treated bare GaInP2 (i.e., without surface nanostructure, cyan data in Fig. 4f) did not exhibit a long-term durability comparable to the (NH4)2S-treated and nanostructured GaInP2 (blue data in Fig. 4f), while it was still more stable than the untreated bare electrode (black data in Fig. 4f), suggesting that the synergistic interplay between the nanostructured morphology to enlarge the surface area and limit the progression of corroded region, and the incorporation of sulfide/sulfate group to confer the improved corrosion resistance is collectively responsible for suppressing the kinetics of corrosion and enabling significantly longer lifetime observed in this study compared to previous works (Supplementary Table 4).

## Discussion

The change of surface morphology observed after the stability test with nanostructured, (NH4)2S-treated GaInP2 might be attributed to the desorption and re-adsorption of Ga, In, P, or S atoms at the catalytic interface, through either faradaic or non-faradaic processes, with the latter independent of corrosion reactions that would be parasitic to the photocurrent. Faradaic efficiencies of H2 measured from bare GaInP2 without and with (NH4)2S-treatment are ~80 and ~91% (Supplementary Table 5, Supplementary Fig. 20), respectively, possibly due to the contribution of corrosion to the photocurrent as observed in Fig. 4f. As expected, the faradaic efficiency of (NH4)2-treated GaInP2 is higher than the untreated GaInP2 owing to combined effects of surface passivation and suppressed corrosion on the sulfurized reactive interface. Nevertheless, the nanoporous morphology was maintained in ways that produce similar levels of reflectance and light absorption, and thus the photocurrent to those obtained before the stability test. Given that the degradation of (NH4)2S-treated bare GaInP2 has also accompanied the gradual decrease of sulfate group on the electrode surface as evidenced by XPS spectra (Supplementary Fig. 21), we postulate that the rate of electrochemical dissolution of sulfate group is substantially lowered by the nanoporous morphology owing to the reduced rate of local charge transfer associated with the enlarged surface area. While the nanostructured GaInP2 without (NH4)2S-treatment (orange data in Fig.4f) exhibited improved durability compared to the untreated bare electrode, it also steadily degraded at the rate much higher than the nanostructured and (NH4)2S-treated GaInP2, reiterating the importance of collaborative contributions from nanoporous surface morphology and corrosion-resistant surface stoichiometry.

In summary, we demonstrated an approach that can simultaneously enhance the light absorption, catalytic efficiency, and durability of GaInP2 photocathodes in the HER of solar water splitting by collaboratively exploiting corrosion-resistant surface stoichiometry and structurally tailored reactive interface. The sulfur treatment has been demonstrated effective for passivating the surface states and suppressing the surface recombination in a wide range of semiconductor materials37,41,42. We therefore expect our approach capitalizing the synergistic effect of surface nanostructure and corrosion-resistant surface stoichiometry would be broadly applicable to various semiconductor photoelectrodes (e.g., III–V, III-N) and electrochemical reactions (e.g., oxygen evolution reaction (OER), CO2 reduction) that can benefit from simultaneously enhanced light absorption, catalytic efficiency, and corrosion resistance, all without solely relying on the development of new protective materials, thereby offering practical pathways towards high efficiency, high durability PEC solar water splitting.

## Methods

### Fabrication of surface-tailored GaInP2 photocathodes

A 2.5 μm-thick p-type GaInP2 (Zn-doped, 2 × 1017 cm−3) was epitaxially grown on a GaAs (100) substrate miscut 2° towards the (110) at 700 °C by an atmospheric pressure metal organic vapor phase epitaxy (MOVPE). The as-received GaInP2 ep-wafer was cleaned with acetone, isopropyl alcohol (IPA), and deionized (DI) water, followed by the removal of native oxides in a dilute NH4OH solution (NH4OH (29%, EMD):DI water = 1:10, by volume, 2 min) and perchloric acid solution (CR-7, KMG, 30 s). Silver nanoparticles were electrolessly deposited on GaInP2 in an aqueous solution of silver nitrite (AgNO3, 10 mM) and hydrofluoric acid (HF, 5 M). Nanostructured GaInP2 photocathodes were formed by inductively coupled plasma reactive ion etching (ICP-RIE, STS) (BCl3:N2 (1.5:9 in sccm), 5 mTorr, 100 W/500 W, 100 °C) using silver nanoparticles as an etch mask. Subsequently, the residual silver was removed by a wet chemical etchant (NH4OH:H2O2:DI water = 1:1:1, by volume). After the (NH4)2S-treatment and/or MoS2-deposition as described in detail subsequently, a copper wire was connected using a silver paste on the back of the wafer, followed by the encapsulation of side walls using thermally cured epoxy (Loctite® 9462) to produce fully functional photocathodes.

### PEC measurements

All PEC measurements were performed in an aqueous solution (0.5 M, pH: ~0.3–0.35) of sulfuric acid (H2SO4, EMD Chemicals, ACS grade, 95–98%) under simulated AM 1.5 G standard solar illumination (1000 W/m2) on a full-spectrum solar simulator (94042 A, Oriel) at ambient temperature (20 °C). The one-sun intensity of solar simulator was calibrated using a certified reference cell (91150 V, Newport). The electrolyte solution was purged with N2 for 15 min before each PEC measurement. Linear sweep voltammetry data were collected by a potentiostat (Reference 600, Gamry) under a three-electrode configuration with Ag/AgCl (3 M NaCl, RE-5B, Bioanalytical Systems) and platinum (MW-1032, Bioanalytical Systems) as reference and counter electrodes, respectively, where the potential of the working electrode was scanned from –0.8 V to 0.04 V vs. Ag/AgCl (−0.57 V to 0.27 V vs. RHE) for bare GaInP2, from −0.8 V to 0.14 V vs. Ag/AgCl (−0.57 to ~0.37 V vs. RHE) for nanostructured GaInP2, and from −0.8 V to ~0.4 V vs. Ag/AgCl (−0.57 V to ~0.63 V vs. RHE) for MoS2-deposited GaInP2, respectively, at a scan rate of 20 mV/s in a step size of 5 mV. Note that the potential sweep was done from negative to positive potential to avoid overestimation of electrode performance (Supplementary Fig. 5). A small amount of surfactant (Triton X-100, SPI Supplies) was added to the electrolyte to facilitate the release of generated hydrogen bubbles from the electrode surface. For the conversion of electrode potential from Ag/AgCl to the reversible hydrogen electrode (RHE), a linear sweep voltammetry scan was performed using a platinum electrode (MF-2013, Bioanalytical Systems) as a cathode to experimentally determine the onset potential of hydrogen evolution. The current density (J) was evaluated based on the measured area of illuminated electrode surface (Supplementary Note 2). For Figs. 2a, 3a, 4a, b, f, representative data from two or three batches of experiments were reported.

### (NH4)2S-treatment

To tailor the surface atomic composition of GaInP2, a pre-heated (NH4)2S solution (~61 °C, ~0.77 M, prepared by adding 34 mL of DI water or isopropanol to 10 mL of as-received (NH4)2S solution (Macron, 20.0–24.0 wt% in H2O)) was cast onto the surface of bare or nanostructured GaInP2 placed on a hot plate (~85 °C) for 3–5 min (for samples in Fig. 3a). The treatment time for samples in Fig. 3b, c, and 4 was 15 min. Subsequently, samples were dried under N2, followed by thermal annealing at 250 °C in air for 1 h.

### MoS2-deposition

For MoS2-deposition, the GaInP2 was immersed in an aqueous solution of (NH4)2MoS4 (1 mM, Sigma Aldrich) and 0.5 M of Na2SO4 buffer (pH 6.6) under white light (LED-6WD, AmScope) illumination (~20 mW/cm2) for 5 min at an open-circuit condition, followed by rinsing with DI water and drying under N2. After the photochemical deposition, the sample was thermally annealed at 250 °C under N2 atmosphere for 1 h. Alternatively, MoS2 was also electrochemically deposited by scanning 8–10 times of potential cycles between −0.4 and +0.15 V vs. Ag/AgCl (i.e., one cycle: −0.4 V → +0.15 V → −0.4 V) using the same regents as in photochemical deposition under a dark condition.

### Reflectance measurement

Reflectance spectra of GaInP2 photocathodes (Fig. 1d) were recorded using UV-Vis-NIR spectroscopy (Lamda 950, Perkin-Elmer) at near-normal incidence (θ = 8°) in air, measured on a spectrophotometer equipped with an integrating sphere using a Spectralon® as a 100% reflectance standard. For the data in Fig. 4d, reflectance spectra were recorded using a home-made optical set-up consisting of a white light source (HL-2000, Ocean Optics) and a fiber-optic spectrometer (Flame-T-VIS-NIR, Ocean Optics). The source light was collimated by an achromatic doublet lens (f = 19 mm, N.A. = 0.42) and then focused on the cell region (beam diameter = ~50 μm) through an objective lens (×20, N.A. = 0.4). The reflected light was collected by the same objective lens and guided to the spectrometer through a multimode fiber. A silver mirror deposited on fused silica (PF10-03-P01, Thorlabs) was used as a 100% calibration standard.

### Photoluminescence measurement

Photoluminescence (PL) spectra of bare and nanostructured GaInP2 samples were measured using a Raman microscope (XploRATM, HORIBA Jobin Yvon Inc.) with ×100 objective lens (NA: 0.90), where a 532-nm laser was focused on the sample surface with a beam diameter of ~1 μm.

### X-ray photoelectron spectroscopy (XPS)

XPS was performed on a Kratos Axis Ultra DLD, where photoelectrons were generated by monochromatic Al Kα X-ray at 1486.7 eV at a base pressure of 4 × 10−8 torr. Binding energies were calibrated by C 1 s peak at 284.8 eV. Linear-least-squares fitting of XPS spectra was performed using CasaXPS software (Casa Software Ltd.) using convolution of Gaussian (70%) and Lorentzian (30%) line-shapes. The peak positions and relative intensity ratios are nearly identical between bare and nanostructured samples under the present experimental conditions (Supplementary Fig. 22).

### Atomic force microscopy (AFM) and ellipsometry

The thickness of MoS2 was measured by tapping-mode atomic force microscope (AFM, Dimensional 3100, Digital Instrument). Refractive index (n) and extinction coefficient (k) of GaInP2 were measured by spectroscopic ellipsometry (VASE® Ellipsometer, J.A.Woollam).

### Numerical optical modeling

Reflectance and absorption spectra of nanostructured GaInP2 photocathodes were numerically modeled by finite-difference time-domain method (FDTD). To produce a model nanostructured surface, top-view SEM micrographs (~1.2 × 0.9 μm2) of the dry-etched GaInP2 at various etching times were imported to a 3D modeling software (Rhinoceros®), where lateral profiles of nanopillars were adjusted to closely match with those observed experimentally. The created nanostructured surface was further imported to the FDTD software (FDTD Solutions, LumericalTM). For calculation at normal incidence, a 3D simulation volume was confined with periodic boundary conditions for the x-direction and y-direction, and a perfectly matched layers (PML) boundary condition for the z-direction, where a continuous plane wave that has a broad Gaussian frequency spectrum (270–750 THz or 400–1100 nm) was assumed as a light source.

Hydrogen and oxygen gases were collected volumetrically by a Hoffman-type apparatus from bare GaInP2 photocathodes with and without (NH4)2S-treatment. The photocathodes were operated at 0 V vs. RHE using Pt and Hg/Hg2SO4 (MSE) as counter and reference electrodes, respectively, in 0.5 M sulfuric acid illuminated by a tungsten-halogen lamp with water filter calibrated to one Sun intensity using a GaInP2 reference cell. Faradaic efficiency was calculated with the following equation:

$$\begin{array}{l}\eta _{H_2} = \frac{{{\mathrm{Collected}}\,{\mathrm{gas}}\,{\mathrm{quantity}}({\mathrm{mol}})}}{{{\mathrm{Expected}}\,{\mathrm{gas}}\,{\mathrm{quantity}}({\mathrm{mol}})}}\\ {\hskip46pt}= \frac{{\left( {\frac{{P_{H_2}V}}{{RT}}} \right)}}{{\left( {{\mathrm{Charges}}\,{\mathrm{passed}}} \right) \times \left( {\frac{{{\mathrm{mol}}\,e^ - }}{{96485C}}} \right) \times \left( {\frac{{1\,{\mathrm{mol}}\,H_2}}{{2\,{\mathrm{mol}}\,e^ - }}} \right)}},\end{array}$$
(3)

where $$P_{H_2}$$ is the pressure of the evolved hydrogen gas, V is the volume, R is the gas constant (62363 mL·torr·K−1·mol−1) and T is temperature (292.59 K). More detailed procedures of faradaic efficiency measurements appear elsewhere5.

### Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

The data that support the plots within this paper and other findings of this study are available from the corresponding authors upon reasonable request.

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## Acknowledgements

J.Y. and H.L. gratefully acknowledge support from National Science Foundation (ECCS-1509897, CBET-1707169). The authors thank the Center for Energy Nanoscience at USC for the use of spectrophotometer, the USC Center of Excellence for Molecular Characterization for the use of spectrophotometers, Donghai Zhu and John Curulli for help using facilities at Keck photonics laboratory and center for electron microscope and microanalysis (CEMMA) at USC, respectively. The authors also thank Jun Liu and Al-Jassim Mowafak for help in focused ion beam (FIB) and scanning tunneling electron microscopy (STEM) and Fanqi Wu for help with atomic force microscopy (AFM). J.L.Y., J.F.G., D.J.F., and T.G.D. acknowledge support by the U.S. Department of Energy (DOE), Office of Energy Efficiency and Renewable Energy, Fuel Cell Technologies Office and Solar Energy Technology Office under Contract No. DE-AC36-08GO28308 with the National Renewable Energy Laboratory. The U.S. government retains and the publisher, by accepting the article for publication, acknowledges that the U.S. government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this work, or allow others to do so, for U.S. government purposes. The views and opinions of the authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof. Neither the United States Government nor any agency thereof, nor any of their employees, makes any warranty, expressed or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights.

## Author information

Authors

### Contributions

J.Y. and H.L. conceived the idea and designed the experiment. H.L., J.L.Y., J.F.G., D.J.F., T.G.D. and J.Y. performed the experiments. H.L., J.L.Y., J.F.G., D.J.F., T.G.D. and J.Y. analyzed the data. H.L., J.L.Y., J.F.G., T.G.D. and J.Y. wrote the paper.

### Corresponding author

Correspondence to Jongseung Yoon.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information: Nature Communications thanks the anonymous reviewer(s) for their contribution to the peer review of this work.

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Lim, H., Young, J.L., Geisz, J.F. et al. High performance III-V photoelectrodes for solar water splitting via synergistically tailored structure and stoichiometry. Nat Commun 10, 3388 (2019). https://doi.org/10.1038/s41467-019-11351-1

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