# Polymorphic cobalt diselenide as extremely stable electrocatalyst in acidic media via a phase-mixing strategy

## Abstract

Many platinum group metal-free inorganic catalysts have demonstrated high intrinsic activity for diverse important electrode reactions, but their practical use often suffers from undesirable structural degradation and hence poor stability, especially in acidic media. We report here an alkali-heating synthesis to achieve phase-mixed cobalt diselenide material with nearly homogeneous distribution of cubic and orthorhombic phases. Using water electroreduction as a model reaction, we observe that the phase-mixed cobalt diselenide reaches the current density of 10 milliamperes per square centimeter at overpotential of mere 124 millivolts in acidic electrolyte. The catalyst shows no sign of deactivation after more than 400 h of continuous operation and the polarization curve is well retained after 50,000 potential cycles. Experimental and computational investigations uncover a boosted covalency between Co and Se atoms resulting from the phase mixture, which substantially enhances the lattice robustness and thereby the material stability. The findings provide promising design strategy for long-lived catalysts in acid through crystal phase engineering.

## Introduction

Clean-energy technologies such as fuel cells and electrolyzers require even more active and stable electrocatalysts that accelerate the multi-proton/multi-electron-involved electrode reactions1,2. Previous studies have shown diverse approaches to boosting catalytic activity, such as chemical doping3,4, strain5,6 and defect engineering7, alloying8,9,10 and dealloying11. Moreover, several activity descriptors that guide the design of energetic catalysts—including the d-band center associated with oxygen reduction reaction (ORR)12 and the eg filling associated with oxygen evolution reaction (OER)13, as well as the GH binding energy related with hydrogen evolution reaction (HER)14—have been proposed, advancing the development of new electrocatalysts. However, the degradation of many active catalysts in harsh electrochemical environments, such as RuO2 in OER process15 and Pt alloys in ORR process10, has remained a major challenge that limits the device efficiency and cost effectiveness.

The stability of electrocatalysts could be governed by multi-parameters, including the bulk Pourbaix thermodynamics, dissolution potential, and solution pH. In practical electrochemical process, catalysts may suffer from poisoning by impurity gases (e.g., CO)16 and corrosion by in situ formed radicals (e.g., ·OH)17, as well as particle coarsening18, which cause severe deactivation. Prior efforts suggest that the stability can be improved in various ways—for example, by catalyst encapsulation19,20, compositional modulation10,21,22, or coupling with catalyst supports23. Despite improvements in catalyst stability with these strategies, most operational stability studies have been performed on Pt-group catalysts10,20,21,22,23. As with emerging nonprecious metal-based catalysts, their long-term stability, particularly in acidic electrolyte, is unsatisfactory. This consequently leads to the problem of using nonprecious catalysts in polymer electrolyte membrane-based electrochemical devices, which need low pH environment for operation.

Here we describe a way to improve the stability of polymorphic cobalt diselenide (CoSe2) catalyst through homogeneous phase mixing between cubic and orthorhombic phases. In acidic electrolyte (0.5 M H2SO4, pH = 0), the phase-mixed CoSe2 (m-CoSe2) requires an overpotential of 124 mV at 10 mA cm−2, which was perfectly retained for over 400 h of continuous operation, consistent with the observation from accelerated stability tests after 50,000 electrochemical cycles. This remarkable HER stability of phase-mixed CoSe2 at low pH can be ascribed to the greater covalency between Co and Se atoms, resulting in lattice configuration with enhanced robustness. We expect that such phase mixing method could be applicable to other polymorphic materials for designing new electrocatalysts with better catalytic performances.

## Results

### Synthesis and characterization of m-CoSe2

Ultrathin cubic CoSe2 (c-CoSe2) nanobelts were synthesized as precursors using the method described previously24 (Supplementary Fig. 1). We recently reported on the complete structural phase transition of c-CoSe2 to orthorhombic CoSe2 (o-CoSe2) induced by phosphorus doping at a high temperature of 400 °C (ref. 25). In this study, we develop an alkali-heating approach to produce m-CoSe2 with nearly homogeneous distribution of cubic and orthorhombic phases (Supplementary Fig. 2). Briefly, the as-made c-CoSe2 powder was placed in 5 M KOH solution and heated at 200 °C for 12 h. This harsh condition causes the leaching of Co and Se at defective sites of c-CoSe2, leaving atomic vacancies (Fig. 1a). Buseck et al.26 proposed that lattice defects in cubic pyrites could offer sites to drive its transition to orthorhombic marcasite. Because pyrite CoSe2 (100) shows almost the same atomic arrangement with marcasite CoSe2 (101) (Supplementary Fig. 3), it permits locally epitaxial growth of o-CoSe2 at these vacancy defects. Density functional theory (DFT) calculations in Fig. 1b reveal that the c-CoSe2 (100)||o-CoSe2 (101) interfacial energy is smaller than the surface energies of c-CoSe2 (100) and o-CoSe2 (101), suggesting that the epitaxial growth of o-CoSe2 is thermodynamically favored. We thus conclude that the in situ formed atomic vacancies mediated the formation of o-CoSe2 phase, resulting in unusual m-CoSe2 (Fig. 1a), which is analogous to the Se vacancies induced 1T-to-1H transition in PtSe2 film reported recently27.

Our series of control experiments show that alkali and temperature are critical to trigger structural phase transition in c-CoSe2 (Supplementary Figs. 413). Without alkali or aging c-CoSe2 in 5 M KOH at room temperature, the Co and Se leaching from c-CoSe2 was kinetically limited, as confirmed by inductively coupled plasma atomic emission spectroscopy (ICP-AES; Fig. 1c). Consequently, it lacks the needed vacancy defects in c-CoSe2 where the phase transition occurs. The above experiments also uncover that heating c-CoSe2 at 200 °C for 12 h in 5 M KOH would result in the optimal m-CoSe2 (Supplementary Figs. 813). Alkali-heating treatment has been widely applied on carbon materials28 (e.g., graphene29 and carbon nanotubes30) to improve the porosity, electrochemical performance, and corrosion resistance. We note that no collapse of c-CoSe2 structure under above harsh conditions is unexpected, which implies the remarkable robustness of the achieved m-CoSe2.

Scanning transmission electron microscopy (STEM) image in Fig. 2a shows surface scratches on m-CoSe2 after the alkali-heating process, consistent with the observations from scanning electron microscopy (SEM; Supplementary Fig. 14a) and transmission electron microscopy (TEM; Supplementary Fig. 14b) images. Atomic force microscopy (Supplementary Fig. 15a) and high-angle annular dark field (HAADF; Supplementary Fig. 15b) images clearly reveal that the alkali-heating treatment etches c-CoSe2 precursors and has created slit nanopores with sizes ranging from 1.4 to 7.7 nm (Supplementary Fig. 16). These nanopores were formed owing to the Co and Se leaching, which makes atomic level interfaces with high surface free energy where the rearrangement of Co and Se could happen. Energy-dispersive X-ray spectrum (EDX) elemental mapping in Fig. 2b shows a uniform spatial distribution of Co and Se in m-CoSe2 sample, and its overall Co:Se ratio remains about 1:2 based on EDX analysis (Supplementary Fig. 17).

Figure 2c shows the inverse fast Fourier transform (FFT) image of m-CoSe2 from a typical HAADF-STEM image (Supplementary Fig. 18a), which clearly displays the distribution the c-CoSe2 (green) and o-CoSe2 (red). Inverse FFT images from other regions of m-CoSe2 nanobelts further confirm the unique phase-mixed microstructure (Supplementary Fig. 19). Atomic-resolution HAADF-STEM image in Fig. 2d reveals that the c-CoSe2 and o-CoSe2 phases can be distinguished from their different crystalline structures, where the FFT pattern (inset in Fig. 2d) can be interpreted as two sets of patterns from the [111] zone axis of c-CoSe2 and [100] zone axis of o-CoSe2. Figure 2e, f shows HAADF-STEM images taken at higher magnifications from the areas marked by the red and yellow dashed squares. The c-CoSe2 lattice exhibits a honeycomb structure (Fig. 2e), which is unambiguously discriminated from the o-CoSe2 with parallel line lattices (Fig. 2f). The corresponding FFT patterns demonstrate cubic and orthorhombic phases at the two regions (Insets of Fig. 2e, f), consistent with our FFT simulation results (Supplementary Fig. 20). The co-existed two phases are further visualized by high-resolution TEM images taken at different areas of the m-CoSe2, as shown in Supplementary Fig. 21. X-ray diffraction (XRD; Fig. 2g) studies also support the phase transition of initial c-CoSe2 to phase-mixed CoSe2 (also see Supplementary Figs. 8a, 10a and 12a).

Using Raman spectroscopy, we tracked the structural phase evolution in c-CoSe2 (Supplementary Figs. 8b, 10b and 12b). The Raman active peak at 189 cm−1 for c-CoSe2 originates from the Se–Se stretching mode31. With tuning temperature, time or KOH concentration, a new Raman peak at 167 cm−1 arises gradually, indicative of the formation of orthorhombic phase. Nevertheless, Fig. 2h reveals that this new peak has ~7 cm−1 leftward shift compared with that of as-synthesized pure o-CoSe2 (174 cm−1), suggesting the strong electronic phase interaction in m-CoSe2 (ref. 32). We also studied the work function of c-, o-, and m-CoSe2 by ultraviolet photoelectron spectroscopy (UPS; Fig. 2i). Our measurements display a lower work function of m-CoSe2 (3.7 eV) compared with c-CoSe2 (3.9 eV) and o-CoSe2 (4.6 eV), which hint at the optimized electronic structures of m-CoSe2 that enable a faster electron transfer and hence superior catalytic capability.

### HER activity and stability on m-CoSe2 catalysts

We evaluated the electrocatalytic activities of c-, o-, and m-CoSe2 toward HER in Ar-saturated 0.5 M H2SO4 electrolyte with Ohmic drop correction (Supplementary Fig. 22). Rotating disk electrode (RDE) testing shows that m-CoSe2 requires an overpotential of mere 124 mV at 10 mA cm−2, far exceeding that of 226 mV for c-CoSe2 and 273 mV for o-CoSe2 (Fig. 3a–c, Supplementary Fig. 22a). Tafel analysis gives a slope of 60, 70, and 37 mV dec−1 (here “dec” means decade, or one order of magnitude) for c-, o-, and m-CoSe2 catalysts (Fig. 3b), respectively. The lower Tafel slope of 37 mV dec−1 for m-CoSe2 indicates its HER superiority as compared to c- and o-CoSe2 catalysts. Further, the Tafel slope of 37 mV dec−1 obtained for acidic HER also suggests a Tafel-step-determined Volmer-Tafel pathway that likely works in the m-CoSe2 catalyst33. H2 oxidation currents from the rotating ring-disk electrode measurements (Pt ring at 0.5 V versus the reversible hydrogen electrode (RHE)) confirm the selective H2 production on the above catalysts (Supplementary Fig. 23). The HER performances of the m-CoSe2 catalyst with different reaction temperatures, times, and KOH concentrations were systematically studied, as shown in Supplementary Figs. 2426. We note that the HER kinetic metrics (e.g., 124 mV overpotential at 10 mA cm−2 and Tafel slope of 37 mV dec−1) gained from the RDE testing ranks among the superb for noble-metal-free catalysts documented in acid34,35. The HER activity in acid of m-CoSe2 also performs better than CoSe2 catalysts with various phases reported previously (Supplementary Fig. 27). We further detected the amount of generated H2 gas via gas chromatography, which is well consistent with the theoretical value, corresponding to a Faradaic efficiency of 99.6% (Supplementary Fig. 28). The marked HER activity of m-CoSe2 can be ascribed to the large number of nanopores that offer greater accessibility to active sites, as well as the superior electronic properties originated from the unique phase-mixed structure.

The m-CoSe2 catalyst that survives the harsh alkali-heating conditions prompted us to carry out a comprehensive assessment of its long-term stability in acidic solution. Figure 3a–c displays the HER polarization curves of m-, c-, and o-CoSe2 catalysts after different numbers of potential cycles between −0.3 and 0 V versus RHE, respectively. We see that the m-CoSe2 catalyst requires 124 mV overpotential at 10 mA cm−2; this value was nearly retained after 50,000 potential cycles (Fig. 3a). By comparison, c-CoSe2 and o-CoSe2 catalysts require 63 mV (Fig. 3b) and 45 mV (Fig. 3c) additional overpotentials at 10 mA cm−2 after mere 2000 cycles. We also performed electrochemical impedance spectroscopy (EIS) at 200 mV overpotential to probe the charge transfer resistance (Rct) that normalized by electrochemically active surface area (ECSA) for these catalysts. Figure 3e reveals that the Rct of m-CoSe2 is 1524 versus ~13,660 ohm cmECSA2 for c-CoSe2 (Fig. 3f) and ~8100 ohm cmECSA2 for o-CoSe2 (Fig. 3g). The smallest Rct of m-CoSe2 suggests its superior charge transfer kinetics, agreeing with UPS measurements. Figure 3e and Supplementary Fig. 29 also reveal that no appreciable change in Rct was observed for m-CoSe2 after 50,000 cycles, whereas the Rct values substantially increased to 97,790 ohm cmECSA2 for c-CoSe2 (Fig. 3f) and 22,651 ohm cmECSA2 for o-CoSe2 (Fig. 3g) after 2000 cycles, consistent with results shown in Fig. 3a–c. The resistance increase hints at structural degradation of c-CoSe2 and o-CoSe2 in acid. Using chronopotentiometry (Fig. 3h), we found that almost no additional overpotential was required to maintain the current density of 10 mA cm−2 over 400 h of continuous operation in 0.5 M H2SO4, consistent with chronoamperometric measurement (Supplementary Fig. 30). All these experiments clearly demonstrate the excellent long-term catalytic stability of phase-mixed CoSe2 in acidic electrolyte. We further highlight that m-CoSe2 catalyst can retain the HER activity even storing in laboratory for 10 months, showing its outstanding environmental stability (Supplementary Fig. 31).

### Stability study of m-CoSe2

We next combined multiple characterization techniques to examine the structural stability of the studied catalysts. Figure 4a shows selective-area electron diffraction patterns of the m-CoSe2 catalyst before and after 10,000, 30,000, and 50,000 potential cycles along the same zone axis. Careful analysis of these diffraction spots uncovered two sets of patterns belonging to c-CoSe2 (red cycles) and o-CoSe2 (yellow cycles). Notably, these diffraction peaks almost remain unchanged even after 50,000 cycles, in excellent agreement with the XRD (Fig. 4b) and Raman (Fig. 4c) results. Post-mortem TEM analysis reveals that the belt-like morphology of pristine m-CoSe2 was well retained after cycling tests (Supplementary Fig. 32). X-ray photoelectron spectra (XPS) measurements reveal Co–O (781.09 eV)36 and Se–O (58.59 eV)37 bonds for the initial m-CoSe2 catalyst, which were completely removed during the durability tests (Fig. 4d, e). Furthermore, we observed that the valence states of both Co and Se were well maintained after 50,000 cycles, suggesting that the electronic structure of m-CoSe2 was not perturbed (Fig. 4d, e, Supplementary Fig. 33). By contrast, Raman spectroscopy studies demonstrate that a noticeable peak at 248 cm−1 arises for c-CoSe2 and o-CoSe2 catalysts after mere 500 cycles (Supplementary Fig. 34). We attribute this new Raman active peak to the formation of amorphous Se (ref. 38). Our ICP-AES analyses in Fig. 4f present severe Co and Se leaching into the electrolyte for c-CoSe2 and o-CoSe2, whereas the m-CoSe2 catalyst almost remains physically intact (also see photographs in Supplementary Fig. 35). Additionally, we added the cycled electrolytes into the sodium acetate and nitroso-R salt solution, where the green solution turned to red owing to the formation of Co[C10H4ONO(SO3Na)2]3 complex39 (Fig. 4g), again showing the electrochemical leaching of Co for c-CoSe2 and o-CoSe2 samples. Together, the above results unambiguously illustrate the excellent catalytic and structural stability of the new phase-mixed CoSe2 catalyst in acidic solutions.

### DFT calculation and enhancement mechanism

We now turn to discuss the structural and chemical features that potentially affect and govern the remarkable stability of m-CoSe2 catalyst. We remark that cubic pyrite and orthorhombic marcasite CoSe2 are polymorphs; they both possess Co2+ occurring in octahedral coordination and contain the characteristic Se–Se pairs40 (Fig. 5a; Supplementary Fig. 36). However in cubic pyrite CoSe2, the octahedra share corners, whereas in orthorhombic marcasite they share edges41 (Fig. 5a). Structurally, rotating half of Se–Se pairs in cubic pyrite through 90° can yield the orthorhombic marcasite structure40. The perfect lattice similarity between pyrite {001} and marcasite {101} allows for the epitaxial growth of o-CoSe2 on c-CoSe2 (Fig. 5b, inset), as confirmed by DFT calculations41,42. Although theoretically feasible, no nanostructures with a homogeneous mixture of pyrite and marcasite have been synthesized before. Here the integration of o-CoSe2 into c-CoSe2 via harsh alkali-heating process successfully produces m-CoSe2 structure, which not only brings rigid material lattices but also creates electronic structure perturbations that permit greater covalent bonding forces between Co and Se. Therefore, the exceptional robustness of m-CoSe2 in acidic environments is expected.

To better understand the origin of the notable stability, X-ray absorption near-edge structure (XANES) spectroscopy, and DFT calculations were conducted. Figure 5c gives the XANES spectra of c-CoSe2 and m-CoSe2 at Co K-edge, which both show the pre-edge feature that indicates Co ions in the octahedral environment43. The shoulder feature at ~7717 eV originates from the covalent nature of the Co-Se bond, analogous to previous observations in other systems39,44. The m-CoSe2 catalyst reveals a considerable shift of the Co K-edge to a higher energy versus c-CoSe2 (Fig. 5c), in agreement with XPS and Co L-edge measurements (Supplementary Figs. 33 and 37). This suggests a decreased occupancy of the antibonding eg* orbitals, pointing to a stronger Co 3d–Se 4p orbital hybridization. Our Se K-edge XANES spectra shown in Fig. 5d reveal that m-CoSe2 exhibits a stronger peak at 12661 eV versus c-CoSe2, also verifying a more covalent Co–Se bonding orbital system45. As a result, we reason that the new phase-mixed CoSe2 catalyst shows a decreased occupancy of the antibonding eg* orbitals of Co 3d, which tends to attract more ligand 4p orbitals, enabling a greater covalency of Co–Se bond and thus substantially enhanced stability (Fig. 5e, f).

We further created the m-CoSe2 DFT model by combining the c-CoSe2 (100) and o-CoSe2 (101) surfaces ended as [Se-Co-Se], which give nonpolar terminations46 (Fig. 5b, Supplementary Figs. 38 and 39). DFT calculations show that epitaxial growth of o-CoSe2 (101) on c-CoSe2 (100) results in a significantly reduced free energy as compared with original c-CoSe2 (100), suggesting that the formation of m-CoSe2 is thermodynamically favorable (Fig. 5g). This accordingly implies the superior phase stability of m-CoSe2. Moreover, the density of states (DOS) results reveal that the m-CoSe2 catalyst exhibits lower states in the characteristic low-DOS region close to the Fermi level (Fig. 5h). The less electronic states near the Fermi level again indicate the stability of m-CoSe2. Our calculations also demonstrate that the epitaxial growth of o-CoSe2 on c-CoSe2 is limited to a few [Se-Co-Se] layers, while further growth causes structure instability (Supplementary Figs. 4044), agreeing with the well-distributed phase mixture of m-CoSe2 we have achieved.

## Discussion

A major challenge of adopting noble-metal-free catalysts in polymer electrolyte membrane-based electrochemical devices is to retain their stability in acidic environments. We have shown here that m-CoSe2 is extremely stable for catalyzing HER in acid, whereas the stabilities of both c-CoSe2 and o-CoSe2 are ordinary. The tremendously enhanced stability of m-CoSe2 can be explained by its robust lattice and the greater covalency of Co-Se bonds after phase mixing, as evidenced by multiple characterizations and DFT calculations. Given many polymorphic material systems exist, we expect that such phase-mixed engineering methodology could be intensively extended for designing cost-effective and better-performing catalysts used in acid, thus aiding the advancement of polymer electrolyte fuel cells and electrolyzers.

## Methods

### Material synthesis

All chemicals were used as received without further purification. The m-CoSe2 was synthesized through a two-step method. First, c-CoSe2 nanobelts were synthesized as described in our previous works24. Next, 25 mg c-CoSe2 nanobelts was dispersed in 2.5 ml 5 M KOH solution. After drastically stirring at room temperature for 30 min, the black solution was transferred into a Teflon-lined autoclave (25 ml), which was sealed and heated at 200 °C for 12 h. After reaction, the obtained m-CoSe2 powder was carefully washed and dried before use.

The o-CoSe2 nanobelts were synthesized by a method developed previously47. Briefly, 0.140 g CoSO47H2O, 0.079 g Se, and 0.180 g C18H33NaO2 were added into a mixed solution (40 mL) with a volume ratio of VDETA/VDIW = 2:1 (DIW = deionzed water). After stirring for 30 min, the mixture was transferred into a Teflon-lined autoclave and heated at 180 °C for 30 h. The final product was carefully washed and dried before use.

### Material characterizations

The achieved samples were examined by multiple analytic techniques. XRD was taken with a Philips X’Pert Pro Super X-ray diffractometer with Cu Kα radiation (λ = 1.54178 Å). The morphology of the samples was investigated by SEM (Zersss Supra 40) and TEM (Hitachi H7650). The STEM and HRTEM images, SAED, and EDX elemental mappings were taken on a JEMARM 200F Atomic Resolution Analytical Microscope with an acceleration voltage of 200 kV. Raman spectra were measured on a Raman microscope (Renishaw®) excited with a 514 nm excitation laser. ICP-AES data were obtained by an Optima 7300 DV instrument. N2 adsorption/desorption isotherms were recorded on an ASAP 2020 accelerated surface area and a porosimetry instrument (Mictromeritics), equipped with an automated surface area, at 77 K using Barrett–Emmett–Teller calculations. Ultraviolet photoelectron spectroscopy was carried out at the BL11U beamline of National Synchrotron Radiation Laboratory in Hefei, China. The X-ray absorption spectra of Co and Se K-edges were obtained at the beamline 14W1 of Shanghai synchrotron Radiation Laboratory (China). XPS was taken on an X-ray photoelectron spectrometer (ESCALab MKII) with an X-ray source (Mg Kα  = 1253.6 eV). The X-ray absorption spectra of Co L-edges were performed on the BL10B beamline of National Synchrotron Radiation Laboratory in Hefei (China).

### Electrochemical measurements

All the electrochemical measurements were measured in a conventional three-electrode cell at ambient temperature connected to a Multipotentiostat (IM6ex, ZahnerElectrik, Germany). Ag/AgCl (3.5 M KCl) electrode and graphite rod were used as the reference and counter electrodes, respectively. The potentials reported in this work were normalized versus the RHE through a standard RHE calibration described elsewhere48. A RDE with glassy carbon (PINE, 5.00 mm diameter, disk area: 0.196 cm2) was used as the working electrode.

To make the working electrodes, 5 mg catalyst powder was dispersed in 1 mL of 1:3 v/v isopropanol/DIW mixture with 40 μL Nafion solution (5 wt%), which was ultrasonicated to yield a homogeneous ink. Then, 40 μL catalyst ink was pipetted onto the glassy carbon substrate (catalyst loading: ~1.02 mg cm−2). HER measurements were conducted in 0.5 M H2SO4. The fresh electrolytes were bubbled with pure argon for 30 min before measurements. The polarization curves were obtained by sweeping the potential from −0.55 to 0.05 V versus RHE with a sweep rate of 2 mV s−1 and 1600 r.p.m. (to remove the H2 bubbles formed in situ) at ambient temperature. The EIS measurement was performed in the same configuration at 200 mV overpotential over a frequency range from 100 KHz to 100 mHz at the amplitude of the sinusoidal voltage of 5 mV. The polarization curves were re-plotted as overpotential (η) versus log current (log j) to get Tafel plots to assess the HER kinetics of investigated catalysts. The Tafel slope (b) can be obtained by fitting the linear portion of the Tafel plots with the following equation:

$$\eta = b\log (j) + a.$$
(1)

The m-CoSe2-modified carbon fiber paper (catalyst loading: ~1.02 mg cm−2) was used as a working electrode to perform chronopotentiometry experiments at a constant current density of 10 mA cm−2. The accelerated stability measurements were performed by potential cycling between −0.3 and 0 V versus RHE with a sweep rate of 200 mV s−1. After cycling, the resultant electrode was used for polarization curves with a sweep rate of 2 mV s−1. To estimate the double-layer capacitance, cyclic voltammograms were performed at different sweep rates in the potential region of 0.0–0.1 versus RHE at ambient temperature. All the polarization curves were corrected with iR compensation that resulted from the solution resistance. We employed the ICP-AES method to analyze the etching rate of m-CoSe2 during chronopotentiometry experiments in 0.5 M H2SO4. The catalyst was loaded on the 1 × 1 cm2 carbon paper substrate (~1.02 mg cm−2). Each ICP-AES data point was collected for three times. The ECSA of the catalyst is calculated from the double-layer capacitance based on the equation:

$${\mathrm{ECSA}} = \frac{{{{C}}_{{\mathrm{dl}}}}}{{{{C}}_{\mathrm{s}}}},$$
(2)

where Cs is the specific capacitance of the catalyst or the capacitance of an atomically smooth planar surface of the material per unit area under identical electrolyte conditions. And a general specific capacitance of Cs = 0.035 mF cm−2 is adopted based on typical reported value49.

### Colorimetric comparison measurements

The m-CoSe2-modified carbon fiber paper (catalyst loading: ~5.10 mg cm−2) was used as a working electrode to perform accelerated stability experiments. And the electrolyte was collected after 50,000 electrochemical cycles. Then, 5 mL electrolyte, 5 mL sodium acetate solution (250 g L−1), and 3 mL of nitroso-R salt solution (10 g L−1) were added into a 50 mL beaker. The Co2+ can form a red-colored complex (Co[C10H4ONO(SO3Na)2]3) with the nitroso-R salt in acetate buffer solution.

### DFT calculations

The DFT calculations were performed using the plane-wave code Vienna ab-initio simulation package (VASP)50 program with the projector augmented wave (PAW)51 method. The convergence criterion of the electronic self-consistent iteration was set to be 10−6 eV and the kinetic energy cutoff is 400 eV. The atomic positions were relaxed until the force on each atom is below 0.005 eV Å−1. The Perdew–Burke–Ernzerhof (PBE)52 generalized gradient approximation (GGA) exchange-correlation functional was used throughout. A (9 × 9 × 9) Monkhorst-Pack k-grid scheme was used for the calculations of c-CoSe2, o-CoSe2, and m-CoSe2 of N = 1; (9 × 9 × 5) Monkhorst-Pack k-grid scheme for the m-CoSe2 of N = 2. The atomic positions and lattice constants of the pyrite, marcasite, and mixed phases are all optimized. The optimized bulk cell of pyrite is a = b = c = 5.828 Å; the optimized lattice constants of marcasite are a = 5.811 Å, b = 4.886 Å, and c = 3.638 Å. Note that the b constant and the [101] length $$(\sqrt {a^2 + c^2} = 6.092 \, {\mathrm{\AA}})$$ of marcasite are similar to the pyrite lattice constant, with lattice mismatches of 0.3% and 4.5%, respectively.

## Data availability

The data that support the findings of this study are available from the corresponding authors upon request.

## References

1. 1.

Dresselhaus, M. S. & Thomas, I. L. Alternative energy technologies. Nature 414, 332 (2001).

2. 2.

Gao, M. R., Zheng, Y. R., Jiang, J. & Yu, S. H. Pyrite-type nanomaterials for advanced electrocatalysis. Acc. Chem. Res. 50, 2194–2204 (2017).

3. 3.

Shi, Y. et al. Energy level engineering of MoS2 by transition-metal doping for accelerating hydrogen evolution reaction. J. Am. Chem. Soc. 139, 15479–15485 (2017).

4. 4.

Zhou, Y. et al. Dopant-induced electron localization drives CO2 reduction to C2 hydrocarbons. Nat. Chem. 10, 974–980 (2018).

5. 5.

Li, H. et al. Activating and optimizing MoS2 basal planes for hydrogen evolution through the formation of strained sulphur vacancies. Nat. Mater. 15, 48 (2015).

6. 6.

Wang, H. et al. Direct and continuous strain control of catalysts with tunable battery electrode materials. Science 354, 1031–1036 (2016).

7. 7.

Jia, Y., Jiang, K., Wang, H. & Yao, X. The role of defect sites in nanomaterials for electrocatalytic energy conversion. Chem 5, 1–27 (2019).

8. 8.

Greeley, J. et al. Alloys of platinum and early transition metals as oxygen reduction electrocatalysts. Nat. Chem. 1, 552–556 (2009).

9. 9.

Escudero-Escribano, M. et al. Tuning the activity of Pt alloy electrocatalysts by means of the lanthanide contraction. Science 352, 73–76 (2016).

10. 10.

Li, J. et al. Surface evolution of a Pt-Pd-Au electrocatalyst for stable oxygen reduction. Nat. Energy 2, 17111 (2017).

11. 11.

Strasser, P. et al. Lattice-strain control of the activity in dealloyed core–shell fuel cell catalysts. Nat. Chem. 2, 454 (2010).

12. 12.

Hammer, B. & Nørskov, J. K. Theoretical surface science and catalysis—calculations and concepts. Adv. Catal. 45, 71–129 (2000).

13. 13.

Suntivich, J., May, K. J., Gasteiger, H. A., Goodenough, J. B. & Shao-Horn, Y. A perovskite oxide optimized for oxygen evolution catalysis from molecular orbital principles. Science 334, 1383–1385 (2011).

14. 14.

Hinnemann, B. et al. Biomimetic hydrogen evolution: MoS2 nanoparticles as catalyst for hydrogen evolution. J. Am. Chem. Soc. 127, 5308–5309 (2005).

15. 15.

Su, J. et al. Assembling ultrasmall copper-doped ruthenium oxide nanocrystals into hollow porous polyhedra: highly robust electrocatalysts for oxygen evolution in acidic media. Adv. Mater. 30, 1801351 (2018).

16. 16.

Waszczuk, P. et al. Adsorption of CO poison on fuel cell nanoparticle electrodes from methanol solutions: a radioactive labeling study. J. Electroanal. Chem. 511, 55–64 (2001).

17. 17.

Lefèvre, M. & Dodelet, J.-P. Fe-based catalysts for the reduction of oxygen in polymer electrolyte membrane fuel cell conditions: determination of the amount of peroxide released during electroreduction and its influence on the stability of the catalysts. Electrochim. Acta 48, 2749–2760 (2003).

18. 18.

Bi, W. & Fuller, T. F. Modeling of PEM fuel cell Pt/C catalyst degradation. J. Power Sources 178, 188–196 (2008).

19. 19.

Arnal, P. M., Comotti, M. & Schüth, F. High-temperature-stable catalysts by hollow sphere encapsulation. Angew. Chem. Int. Ed. 45, 8224–8227 (2006).

20. 20.

Samuels, G. J. & Meyer, T. An electrode-supported oxidation catalyst based on ruthenium (IV). pH “encapsulation” in a polymer film. J. Am. Chem. Soc. 103, 307–312 (1981).

21. 21.

Wang, X. et al. Palladium-platinum core-shell icosahedra with substantially enhanced activity and durability towards oxygen reduction. Nat. Commun. 6, 7594 (2015).

22. 22.

Huang, X. et al. High-performance transition metal–doped Pt3Ni octahedra for oxygen reduction reaction. Science 348, 1230–1234 (2015).

23. 23.

Zhou, Y. et al. Enhancement of Pt and Pt-alloy fuel cell catalyst activity and durability via nitrogen-modified carbon supports. Energy Environ. Sci. 3, 1437–1446 (2010).

24. 24.

Gao, M.-R., Yao, W.-T., Yao, H.-B. & Yu, S.-H. Synthesis of unique ultrathin lamellar mesostructured CoSe2-amine (protonated) nanobelts in a binary solution. J. Am. Chem. Soc. 131, 7486–7487 (2009).

25. 25.

Zheng, Y. R. et al. Doping-induced structural phase transition in cobalt diselenide enables enhanced hydrogen evolution catalysis. Nat. Commun. 9, 2533 (2018).

26. 26.

Dodony, I., Pósfai, M. & Buseck, A. R. Structural relationship between pyrite and marcasite. Am. Mineral. 81, 119–125 (1996).

27. 27.

Lin, X. et al. Intrinsically patterned two-dimensional materials for selective adsorption of molecules and nanoclusters. Nat. Mater. 16, 717–721 (2017).

28. 28.

Wang, J. & Kaskel, S. KOH activation of carbon-based materials for energy storage. J. Mater. Chem. 22, 23710–23725 (2012).

29. 29.

Zhu, Y. et al. Carbon-based supercapacitors produced by activation of graphene. Science 332, 1537–1541 (2011).

30. 30.

Raymundo-Piñero, E. et al. KOH and NaOH activation mechanisms of multiwalled carbon nanotubes with different structural organisation. Carbon 43, 786–795 (2005).

31. 31.

Zhu, L. et al. Synthesis, characterization of a CoSe2 catalyst for the oxygen reduction reaction. Appl. Catal. A 386, 157–165 (2010).

32. 32.

Havener, R. W., Zhuang, H., Brown, L., Hennig, R. G. & Park, J. Angle-resolved Raman imaging of interlayer rotations and interactions in twisted bilayer graphene. Nano Lett. 12, 3162–3167 (2012).

33. 33.

Conway, B. & Tilak, B. Interfacial processes involving electrocatalytic evolution and oxidation of H2, and the role of chemisorbed H. Electrochim. Acta 47, 3571–3594 (2002).

34. 34.

Yin, Y. et al. Contributions of phase, sulfur vacancies, and edges to the hydrogen evolution reaction catalytic activity of porous molybdenum disulfide nanosheets. J. Am. Chem. Soc. 138, 7965–7972 (2016).

35. 35.

Fei, H. et al. Atomic cobalt on nitrogen-doped graphene for hydrogen generation. Nat. Commun. 6, 8668 (2015).

36. 36.

Kim, K. X-ray-photoelectron spectroscopic studies of the electronic structure of CoO. Phys. Rev. B 11, 2177 (1975).

37. 37.

Shenasa, M., Sainkar, S. & Lichtman, D. XPS study of some selected selenium compounds. J. Electron Spectrosc. 40, 329–337 (1986).

38. 38.

Lucovsky, G., Mooradian, A., Taylor, W., Wright, G. B. & Keezer, R. C. Identification of the fundamental vibrational modes of trigonal, α-monoclinic and amorphous selenium. Solid State Commun. 5, 113–117 (1967).

39. 39.

Liu, W. et al. A highly active and stable hydrogen evolution catalyst based on pyrite-structured cobalt phosphosulfide. Nat. Commun. 7, 10771 (2016).

40. 40.

Tossell, J., Vaughan, D. & Burdett, J. Pyrite, marcasite, and arsenopyrite type minerals: crystal chemical and structural principles. Phys. Chem. Miner. 7, 177–184 (1981).

41. 41.

Sun, R., Chan, M. K. Y. & Ceder, G. First-principles electronic structure and relative stability of pyrite and marcasite: implications for photovoltaic performance. Phys. Rev. B 83, 235311 (2011).

42. 42.

Wu, L. et al. Enhanced photoresponse of FeS2 films: the role of marcasite–pyrite phase junctions. Adv. Mater. 28, 9602–9607 (2016).

43. 43.

de Groot, F., Vanko, G. & Glatzel, P. The 1s x-ray absorption pre-edge structures in transition metal oxides. J. Phys. Condens. Matter 21, 104207 (2009).

44. 44.

Rouxel, J. Anion–cation redox competition and the formation of new compounds in highly covalent systems. Chem. Eur. J. 2, 1053–1059 (1996).

45. 45.

Sugiura, C. Sulfur K x-ray absorption spectra of FeS, FeS2, and Fe2S3. J. Chem. Phys. 74, 215–217 (1981).

46. 46.

Sun, R., Chan, M. K. Y., Kang, S. & Ceder, G. Intrinsic stoichiometry and oxygen-inducedp-type conductivity of pyrite FeS2. Phys. Rev. B 84, 035212 (2011).

47. 47.

Liang, L. et al. Metallic single-unit-cell orthorhombic cobalt diselenide atomic layers: robust water-electrolysis catalysts. Angew. Chem. Int. Ed. 54, 12004–12008 (2015).

48. 48.

Li, Y. et al. MoS2 nanoparticles grown on graphene: an advanced catalyst for the hydrogen evolution reaction. J. Am. Chem. Soc. 133, 7296–7299 (2011).

49. 49.

McCrory, C. C., Jung, S., Peters, J. C. & Jaramillo, T. F. Benchmarking heterogeneous electrocatalysts for the oxygen evolution reaction. J. Am. Chem. Soc. 135, 16977–16987 (2013).

50. 50.

Kresse, G. & Hafner, J. Ab initiomolecular dynamics for liquid metals. Phys. Rev. B 47, 558–561 (1993).

51. 51.

Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).

52. 52.

Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996).

## Acknowledgements

This work was supported by the funding support from the National Natural Science Foundation of China (Grants 21521001, 21431006, 21225315, 21321002, 91645202, and 51702312, 21975237), the Users with Excellence and Scientific Research Grant of Hefei Science Center of CAS (2015HSCUE007), the Key Research Program of Frontier Sciences, CAS (Grant QYZDJ‐SSW‐SLH036), the National Basic Research Program of China (Grants 2014CB931800, 2018YFA0702001), the Chinese Academy of Sciences (Grants KGZD-EW-T05, XDA090301001), the Strategic Priority Research Program of the Chinese Academy of Sciences (XDA21000000), the Fundamental Research Funds for the Central Universities (WK2060190045, WK2340000076), and the Recruitment Program of Global Youth Experts. We would like to thank the beamline 1W1B station in the Beijing Synchrotron Radiation Facility and BL14W1 at the Shanghai Synchrotron Radiation Facility for help with the characterizations. This work was partially carried out at the USTC Center for Micro and Nanoscale Research and Fabrication.

## Author information

S.-H.Y. and M.-R.G. conceived and supervised the project. X.-L.Z. and Y.-R.Z. performed the experiments, collected, and analyzed the data. X.-S.Z. and J.-F.Z. performed XPS and UPS measurements. C.M. performed the HAADF-STEM measurements. S.-J.H. and X.Z. carried out the DFT calculations. R.W., F.-Y.G., P.-P.Y., Z.-Z.N., C.G. and X.-X.Y. helped with electrochemical data collection and analysis. S.-H.Y., M.-R.G. and X.-L.Z. co-wrote the manuscript. All authors discussed the results and commented on the manuscript.

Correspondence to Min-Rui Gao or Shu-Hong Yu.

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Zhang, X., Hu, S., Zheng, Y. et al. Polymorphic cobalt diselenide as extremely stable electrocatalyst in acidic media via a phase-mixing strategy. Nat Commun 10, 5338 (2019). https://doi.org/10.1038/s41467-019-12992-y