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# Spin-polarized oxygen evolution reaction under magnetic field

## Abstract

The oxygen evolution reaction (OER) is the bottleneck that limits the energy efficiency of water-splitting. The process involves four electrons’ transfer and the generation of triplet state O2 from singlet state species (OH- or H2O). Recently, explicit spin selection was described as a possible way to promote OER in alkaline conditions, but the specific spin-polarized kinetics remains unclear. Here, we report that by using ferromagnetic ordered catalysts as the spin polarizer for spin selection under a constant magnetic field, the OER can be enhanced. However, it does not applicable to non-ferromagnetic catalysts. We found that the spin polarization occurs at the first electron transfer step in OER, where coherent spin exchange happens between the ferromagnetic catalyst and the adsorbed oxygen species with fast kinetics, under the principle of spin angular momentum conservation. In the next three electron transfer steps, as the adsorbed O species adopt fixed spin direction, the OER electrons need to follow the Hund rule and Pauling exclusion principle, thus to carry out spin polarization spontaneously and finally lead to the generation of triplet state O2. Here, we showcase spin-polarized kinetics of oxygen evolution reaction, which gives references in the understanding and design of spin-dependent catalysts.

## Introduction

The sluggish kinetics of oxygen evolution reaction (OER) is a major cause for the low efficiency in techniques, such as solar water splitting,1 rechargeable metal-air batteries,2 regenerative fuel cells,3 and water electrolysis.4,5 Exploring better catalysts for OER has become increasingly attractive in recent years. Non-precious 3d-transition metal oxides (TMOs), such as Fe-, Co-, and Ni-based oxides, are promising cost-effective catalysts.6,7 Their catalytical activities are tunable as the diversity in oxides families affords numerous freedoms to tailor their physicochemical properties. Sabatier’s principle, which qualitatively describes that the optimized catalytic activity when adsorbed species bind to the catalytic surface neither too strongly nor too weakly, led to the fundamental understanding of OER mechanisms and guided the subsequent design of highly active catalysts.8,9 This principle was further supported by the findings that the OER activities of transition metal oxides correlate strongly with the eg occupancy, which is related to the binding strength between the metal and the oxygen species.10,11,12 Some exceptions have been found not well fitted with the eg theory, which is partially resulted by the diverse and complicated magnetism in TMOs family.13,14,15,16 Besides, the produced O2 is in triplet ground state, where the frontier π* orbitals are occupied by two electrons with parallel alignment. In contrast, the ground spin state of reactant OH-/H2O is singlet with all paired electrons.17,18 The singlet states of the oxygen molecule were reported at an energy level of at least ~1 eV higher than its triplet state.18,19 Thus, the magnetism of TMOs, related to the spin polarization, should be influential on the kinetics of OER.20,21 It is reasonable to consider that the active sites with suitable thermodynamic paths for OER should allow a way to facilitate the spin alignment in the product. As suggested by recent theoretical studies by J. Gracia,22,23,24 the spin-polarized electrons in catalysts promote the generation of parallel spin aligned oxygen by quantum spin-exchange interactions (QSEI), which further promote the OER kinetics. Therefore, facilitating the spin polarization should be an effective strategy for improving OER efficiency. Ron Naaman and co-works reported that the application of the chiral-induced spin selectivity effect to product the polarized electron. This spin polarization transferred is the origin of a more efficient oxidation process in which oxygen is formed in its triplet ground state.25,26,27 It has been pointed out by J. Gracia et al. that theoretically photosystem II can act as a spin-controlling gate to govern the charge and spin transport during the OER process,28 which offers a favoured thermodynamic path for O2 evolution. Besides the extrinsic spin polarizer, the ordered magnetic moment structure in ferromagnetic materials can create intrinsic spin filtering for highly spin-polarized electrons. The spin filtering effect originates from the exchange splitting of the energy levels in the conduction band of a magnetic insulator.29 Most recently, José Ramón Galán-Mascarós et al. reported an external magnetic field, applied by a permanent magnet, enhances the OER activity of magnetic oxides in alkaline.30 It opens a new strategy to manipulate the spin polarization in magnetic oxide catalysts for promoting the OER and encourages more detailed studies to understand how the magnetic field induced spin polarization affects the OER process.

In this work, we report an investigation on the key kinetics change on the ferromagnetic CoFe2O4 catalyst under the magnetic field. The ferromagnetic CoFe2O4 catalyst works as a spin polarizer under the magnetic field. We have found that the spin-polarized kinetics of OER starts at the first electron transfer step, where ferromagnetic exchange happens between the ferromagnetic catalysts and the adsorbed oxygen species (reactants) under the principle of spin angular momentum conservation. Without the magnetic field, the Tafel slope of CoFe2O4 is identical and equal to circa 120 mV/decade, which indicates the first electron transfer step is rate-determining step (RDS) and no electron transfer occurring before the RDS. Under the magnetic field, the Tafel slope decreases to circa 90 mV/decade, indicating the number of electron transfer is ~0.5 and a mixed RDS involving the first electron transfer step and second steps. Such a phenomenon cannot be observed in the catalysts without ferromagnetic orderings under the same condition. The results indicate that the key step of spin-polarized OER is the first electron transfer step in OER, where the spin-polarized process via exchange hopping can be facilitated under the magnetic field. As a consequence, the first electron transfer is no longer the RDS. After a facilitated spin-polarized ferromagnetic exchange of electrons, the adsorbed O species will overall settle on the fixed spin direction. Due to the Hund Rule and Pauli Exclusion Principle, the follow-up electrons’ transfer needs to carry out spin polarization spontaneously and finally lead to the generation of triplet state oxygen. Overall, we showcase the key kinetics information in OER under a magnetic field, which influences the micro- and macroscopic spin polarization and spin transport. This finding will be helpful for further development of magnetic field assisted OER-enhancing strategy and related catalysts.

## Results

### Magnetic and electrochemical characterizations

We begin with the discussion of the magnetic properties of the employed catalysts, CoFe2O4, Co3O4, and IrO2. The study will determine the suitable magnetic field and weather a global aligned magnetic moment can be achieved. The study of magnetic property reveals the optimal strength of the applied magnetic field for the alignment of the magnetic moment in ferromagnetic CoFe2O4. The CoFe2O4 and Co3O4 were prepared by a modified solid-state chemistry method as previously reported.11 X-ray powder diffraction characterization was performed to confirm their crystal structures. The diffraction patterns match well with the standard patterns without impurity peak found (Supplementary Fig. 1 and Supplementary Table 1). As depicted in Fig. 1a, CoFe2O4 gives a hysteresis loop in an enlarged manner, indicating a room-temperature ferromagnetic behavior with a saturation magnetization (Ms) of 44 emu·g−1. The Co3O4 and IrO2 samples with tiny susceptibility (χ) of 3.07 × 10−5 and 0.51 × 10−6, respectively, at 300 K show antiferromagnetic or paramagnetic behaviors, respectively. The detailed magnetic data are summarized in Supplementary Table 1. The cyclic voltammetry (CV) of those catalysts were then measured with and without a constant magnetic field of 10,000 Oe under alkaline condition (see Methods for details). As shown in Fig. 1b, c, d, the OER performance of the ferromagnetic CoFe2O4 is promoted obviously under the magnetic field while the changes in non-ferromagnetic catalysts Co3O4 and IrO2 are negligible. When a strong enough magnetic field (higher than the coercivity) is applied to a ferromagnetic material, the magnetic moment will (macroscopically) align along with the direction of the external magnetic field. The ferromagnetic (long-) ordered material as spin polarizer is an extended selective spin-filter for electron transfer during catalysis. The generation process of polarized electrons has been illustrated in Fig. 1e.

It should be noticed that the use of magnetic fields in water electrolysis has been studied in the past,31,32,33,34,35,36 in which the mass transport in the electrochemical process was found to be affected by the Lorentzian movement, i.e. the diffusion of regents and the release of the generated gas bubbles are promoted. However, in this study, some evidence has excluded such effect from mass transport as a main contributor to OER enhancement under the magnetic field. First, the improvement was not observed on non-ferromagnetic catalysts Co3O4 and IrO2 with the effect of Lorentzian movement on mass transport. Second, we also tested the OER performance of Co(acac)2 and Fe(acac)3 with and without a constant magnetic field (as shown in Supplementary Fig. 2). Nearly no difference can be observed. It also should be noted that OH- and H3O+ in aqueous solution do not move physically, but by sequential proton transfer, known as Grotthuss mechanisms37 (Supplementary Fig. 3). That means the influence of Lorentz force on the physical movement of ions OH or H3O+ is negligible. Thus, the effect from the mass transport under the external magnetic field should have little contribution to the observed OER enhancement of the ferromagnetic CoFe2O4. Besides, the electrical resistance of magnetic materials can be affected by the magnetization, which is through the scattering of electrons on the magnetic lattice of the crystal.38,39,40 However, the difference in the conductivity at room temperature under 10,000 Oe is about 3% for insulator CoFe2O4 with 3.86 × 10−5 S/m,40,41,42 which does not cause a significant difference in the electrode’s conductivity. This is because acetylene black carbon (AB) with 500 S/m as a conductive mediator is mixed with those oxide catalysts for their application as the electrode,43 which dominants the electron conduction.

### No surface restructuration in OER

It is generally recognized that some Co-based perovskites and spinels undergo operando surface reconstruction to form active Co (oxy) hydroxides in alkaline conditions to promote OER.44,45,46 In our case, there are no changes in OER performance of CoFe2O4 during CA tests in 1 M KOH for 1 h shown in Supplementary Fig. 4, indicating CoFe2O4 is stable without noticed surface reconstruction during the OER process. The high-resolution transmission electron microscope (HRTEM) was further used to rule out the possible interference from surface reconstruction of catalysts during the OER. It has been found that the spinel crystal structure of CoFe2O4 remained after the electrochemical treatment (Supplementary Fig. 5), which is consistent with what has been reported previously.47 The aberration-corrected STEM provides direct atomic imaging and confirms that the well-crystalline feature reserved from the surface to bulk (Fig. 2a, b). The HADDF line profile shows the same bond length of Co-O in bulk and surface, which verifies no surface reconstruction (Fig. 2c). Raman technique was then performed to study the inhomogeneity evolution in the near-surface region. The Raman spectra of cubic structures (Fd-3m) CoFe2O4 before and after OER are presented in Fig. 2d. In the top curve, peak maxima at 603 and 666 cm−1 are due to A1g symmetry involving symmetric stretching of oxygen atom with respect to the metal ions in tetrahedral sites. The other low-frequency phonon modes are due to metal ions involved in octahedral sites, i.e. Eg and T1g. The assignment of these phonon modes was carried out in accordance with the literature.48 After electrochemical treatment (bottom curve), no changes in the vibrational modes were observed, which proves once again that there is no surface reconstruction in OER. X-ray photoelectron spectroscopy (XPS) was also performed to study the surface chemical states of CoFe2O4 before and after the OER. As shown in Supplementary Fig. 6, the XPS survey spectra confirm the coexistence of Co, Fe, and O in the samples. Figure 2e shows the 2p orbital of Fe, Co, and 1 s orbital of O. The XPS of Fe 2p core level presents two pairs of peaks: Fe3+ 2p3/2 at about 710.7 eV and 713.2 eV; Fe3+ 2p1/2 at about 724.1 eV and 726.2 eV. The doublets in samples can be ascribed to Fe3+ in octahedral sites and Fe3+ in tetrahedral sites, respectively. The two peaks of Co 2p with the binding energy of 780.1 and 782.0 eV are ascribed to Co2+ ions in octahedral sites and Co2+ ions in tetrahedral sites. The main peaks of O 1 s at 529.6 eV are recognized as oxygen ions, which are all associated with a “−2” formal charge.49 Compared to the spectra before and after the OER, these peaks remain unchanged in location, indicating no surface reconstruction.

### Spin-polarized kinetics of OER

Oxygen evolution reaction is authenticated a four-step reaction with each step accompanied by an electron transfer. The Tafel plots are widely regarded as a generalized kinetics theory for electron transfer reactions. The Tafel equation presents the relationship between the Tafel slope and the exchange current density:

$${\eta }=-\frac{2.303\,{\mathrm{RT}}}{\alpha \text{F}}\times {{\log }}\,{i}_{0}+\frac{2.303\,{\mathrm{RT}}}{(\alpha +\text{n}){\mathrm{F}}}\times {{\log }}\,i$$
(1)

where the Tafel slope equals to 2.303RT/[(α + n)F] (i0 is the exchange current density, R is the universal gas constant, T is the absolute temperature, F is the Faraday constant, n is the number of electrons transferred before RDS, and α is the charge transfer coefficient and usually assumed to be 0.5).50,51 Ideally, the Tafel slope tells the information of reaction kinetics. For example, the Tafel slope is 120 mV·dec−1, which indicates the first electron transfer step is the RDS because there is no electron transfer before the RDS. If the second step is the RDS, the Tafel slope will decrease to 40 mV·dec−1 with an electron transfer number of 1. The change of the Tafel slope is often reputed as an indication of the change of reaction mechanism. As shown in Fig. 1f, the Tafel slope of CoFe2O4 is about 109 ± 4.7 mV·dec−1 and that indicates the first electron transfer from the adsorbed OH is the RDS without the magnetic field. But, after applying a constant magnetic field, the Tafel slope decreases to circa 87.8 ± 5.2 mV·dec−1, indicating the number of electron transfer is about 0.5 and a mixed RDS involving the first electron transfer step and second steps. Furthermore, we have carried out OER measurements of CoFe2O4, Co3O4, and IrO2 under different temperatures as shown in Fig. 3a. We first noted that the OER performance of catalysts is getting better as the reaction temperature increases. This is probably because that the rate constant of the reaction will increase as the reaction temperature increases, which can promote this reaction based on the transition state theory52. More importantly, the OER performance of the ferromagnetic CoFe2O4 is promoted under the magnetic field at various temperature. However, the positive influence of the magnetic field on the OER performance of CoFe2O4 is decreased as the reaction temperature increases. The corresponding Tafel slopes are shown in Fig. 3b. At room temperature, the Tafel slope of CoFe2O4 is about 106 mV·dec−1 without the magnetic field. After applying a constant field, the Tafel slope decreases to circa 82.8 mV·dec−1. As the temperature increases, the positive influence of the magnetic field became not that remarkable. This is because the arrangement of magnetic moments of catalyst will be thermally disturbed. The ferromagnetic ordering in the catalyst gets disturbed and thus a certain degree of demagnetization at high temperature occurs, which lead to the decreased influence of the magnetic field on OER. We also note that the Tafel slope of CoFe2O4 have a slight favorable change as temperature increases, which maybe because the interaction between two M-O unites mechanism occurs at high temperature.53,54 Thus, the key step in spin-polarized OER is the first electron transfer step in FM CoFe2O4, where the adsorbed OH is difficult to deprotonate and transfer the electron. However, the change of Tafel slopes was not observed in the non-ferromagnetic catalysts under the same condition.

The electron transfer at the catalytic interface depends on the transition probability, which is associated with the wavefunction integral between OH and the active site. As revealed by our previous work, the octahedral sites are mainly responsible to the OER55. The extended X-ray absorption fine structure (EXAFS) showed the perfect inverse spinel structure of CoFe2O4 (Supplementary Fig. 7). The Fe3+ ions distribute equally in octahedral and tetrahedral sites and Co2+ ions distribute in octahedral sites. We further calculated the effective magnetic moment ($${{\mu }}_{{eff}}$$) of CoFe2O4 to be about 3.44 μB by Curie−Weiss fitting (Supplementary Fig. 8). The $${{\mu }}_{{eff}}$$for CoFe2O4 is very close to the idea value of the inverse spinel.56 Thus, the Co2+ ions in octahedral sites contribute to the effective ferromagnetic moment. Those results are consistent in previous experimental work.57 Considering that only Co in octahedral sites contribute the effective magnetic moment, the magnetic field enhanced OER should mainly happen on the Co sites. Thus, we studied the Co sites as the active sites in this work. For a ferromagnetic (FM) catalyst, the orbitals of the FM oxides create an intrinsically degenerate spin-polarized metallic state that optimizes the wavefunction based on the inter-atomic reduction of the electron–electron repulsion. DFT calculations were performed to explore the diffierent elctron structure of CoFe2O4 under an applied magnetic field (The computational details are shown in the Supplementary Information). As shown in the projected density of states (PDOS) of CoFe2O4 (Fig. 4a), there is more overlap between the line of M-3d and the line of O-2p after spin alignment, which indicates the 3d-2p hybridization of the CoFe2O4 become stronger58 after spins are aligned. As well, compared to the CoFe2O4 with anti-parallel couplings, the CoFe2O4 with spin alignment has a higher spin density on the oxygen atoms (Fig. 4b). The calculation indicates that the magnetic moment of the ligand hole in CoFe2O4 is 0.059 μB without spin alignment and is 0.188 μB with spin alignment, which indicates a FM ligand hole in CoFe2O4. A concomitant increment of the 3d-2p hybridization associate with FM ligand holes will facilitate spin-selected charge transport and optimize the kinetics of the spin-charge transfer in the three-phase interface.43,59 Thus, the dominant FM exchange between the ferromagnetic catalyst and the adsorbed oxygen species (reactants) will happen (Fig. 4c and Supplementary Figure 9) with smaller electron–electron repulsion, which induce spin-dependent conductivity and decrease the rate-limiting bonding energies, making that the first electron transfer is no longer the RDS. We further prepared the Pourbaix diagram of CoFe2O4 as shown in Fig. 4d, which show that the surface termination of CoFe2O4 is oxygen termination under OER conditions. The reaction started between a ligand oxygen on the surface and the adsorbed oxygen species (OH), and the “first” electron transfer step is O* + OH → *OOH + e. The spin-related OER mechanisms show in Fig. 4e. The FM CoFe2O4 with FM ligand hole will form oxygen termination with fixed spin direction. The first electron transfer process led to the generation of O(↓), that is, the first electron transfer step is spin-polarization process to form the triplet state intermediate O(↓)O(↓)H species with a lower barrier (Supplementary Fig. 10). Consequently, the triplet state intermediate O(↓)O(↓)H species will prefer to generate the triplet state O2. We also conducted a DFT study on the free energies of OER steps on the (111) surface of CoFe2O4 with and without spin alignment. Please be noted that here the topmost layer of the slab model is fully relaxed in the calculations since there is little difference between the one-layer-relaxed model and the tww-layer-relaxed model, which can be also found in literature60 The calculation model of CoFe2O4 is shown in Supplementary Fig. 14. The (111) surface is chosen because the TEM investigation found the surface is rich in (111) and there is no remarkbale change on the surface after OER (Supplementary Fig. 11). The energy diagram for these two paths at 1.23 V (vs RHE)61,62 to produce triplet oxygen is shown in Fig. 4f. The active sites with spin alignment are more thermodynamically favourable to OER, if they associate with ferromagnetic ligand holes,59 and the overpotential of producing triplet oxygen is reduced by 390 mV compared to that without aligning spin. The coordinated inter-atomic aligned spin on active sites plays an important role in optimizing the spin-dependent reaction coordinates.

It is worth noting that OER requires the generation of paramagnetic O2 molecules starting from diamagnetic species (OH and H2O). For a reaction involving non-magnetic molecules only, not impact significantly on the reaction kinetics. We investigated the methanol oxidation reaction (MOR) and ethylene glycol oxidation reaction (EGOR) on CoFe2O4 under the magnetic field. Here, changes in FM catalyst conductivity caused by magnetic fields can be ignored because that AB mediator is also mixed with CoFe2O4 for their application as the electrode, which dominant the electron conduction. Figure 5 reveals that there is no remarkable difference in these reactions under the magnetic field. This is because the reactants, intermediates, and the products in these reactions are diamagnetic and there is no spin-selected electron transfer between the active metal site and the adsorbed reaction species.

### The effect of gradient magnetic field, remanence, and demagnetization

It is known that for ferromagnetic materials, the magnetic moment pertains to the spin. The more ordered its magnetic moment is, the higher the degree of positive spin polarization is. As observed in the initial magnetization curve of CoFe2O4 (Fig. 6a), its magnetic moments become more orderly as the magnetic field increases, before reaching the saturation field. We then investigated the effect of the gradient magnetic field on OER activity. We carried out a series of CA measurements under the different magnetic field strength at a constant potential of 1.66, 1.66, and 1.56 V (versus RHE) for CoFe2O4, Co3O4, and IrO2, respectively (Fig. 6b). It can be seen that the current density of the ferromagnetic catalyst CoFe2O4 increases with the increase of the magnetic field strength. For non-ferromagnetic Co3O4 and IrO2, there is almost no change when changing the field strength. The increment of the current density is summarized in Fig. 6c. The increase of spatial spin polarization related to the degree of magnetization shows a positive correlation with the enhancement of the OER for ferromagnetic CoFe2O4. We also measured the LSV curves of all oxides before and after the CA experiment. As seen in Supplementary Fig. 12, the OER performance ferromagnetic CoFe2O4 can be further improved after the CA test under magnetic field, but not for non-ferromagnetic Co3O4 and IrO2. An interesting finding is that the OER performance of CoFe2O4 remains even after the magnetic field is removed (Fig. 6d). This is because the magnetic moment is still aligned in magnetized CoFe2O4 (Fig. 6e) after removing the magnetic field, which persists as the spin polarizer to create spin polarization. This is an important fact to make clear that the enhancement is due to the indirect (strong) QSEI, and not due to weak direct spin-spin interactions from the external field, a typically conceptual error. More interestingly, when the magnetized CoFe2O4 was demagnetized using an oscillating magnetic field (Fig. 6g), the OER performance of CoFe2O4 reverted to the initial value before the field was applied. The Tafel slope of CoFe2O4 is back to 120 mV dec−1, indicating the first electron transfer of the adsorbed OH is again the RDS, same as the status without the magnetic field. Based on the above results, we can confirm that the spin polarization facilitated OER is reversible and adjustable.

## Discussion

It is found that ferromagnetic CoFe2O4 serves as the spin polarizer facilitates the spin polarization under a constant magnetic field. The increase of spatial spin polarization shows a positive correlation with the enhancement of spin transport (selection) during OER. We have found that the Tafel slope of overall ferromagnetic CoFe2O4 switched from ~120 to ~90 mV·dec−1 after applying a magnetic field. It indicates the change of the RDS of OER reaction under an external magnetic field, i.e. the first electron transfer step is no longer the RDS. The spin-polarized electron exchange between the ferromagnetic CoFe2O4 and the adsorbed oxygen species (reactants) for the first electron transfer is ferromagnetic-exchange-like under the principle of spin angular momentum conservation, which leads to faster reaction kinetics for the first electron transfer step. In contrast, such a phenomenon was not observed on non-ferromagnetic catalysts. The findings imply that the conservation of the total spin on the active sites during OER is an important concept, which applies quantum spin-exchange interactions to optimize reaction kinetics. The kinetic improvement maintains after the removal of the external magnetic field. The demagnetization can bring the activity back to that before magnetization. This work provides new understandings of the effect of an external magnetic field on the OER activity of a ferromagnetic catalyst.

## Methods

### Material synthesis

Spinel CoFe2O4 oxides were synthesized by a modified conventional solid-state chemistry method as described elsewhere45 with Fe(NO3)2 and Co(NO3)2 as precursors. 9 mmol mixture of Fe(NO3)3·9H2O (Alfa Aesar) and Co(NO3)2ˑ6H2O (Sigma–Aldrich) was dissolved in 15 mL of DI water, followed by stirring and vaporizing in oven at 80 °C. The resulting slurry was calcinated at 250 °C for 2 h in the air to decompose nitrous completely. After grinding, the black oxide powders underwent calcination in air at 400 °C for 8 h. Co3O4 oxides were synthesized by the same method.

### Electrochemical characterizations

The OER tests were operated in a three-electrode cell with a working electrode (WE) of glassy carbon flake (10 × 20 × 0.5 mm; Effective electrode area: 1.0 cm2), a counter electrode of platinum foil, and a Hg/HgO reference electrode (RE) (filled with 1 M KOH solution). The catalysts electrode was fabricated by the recipe drop-castes method, which was reported in elsewhere63. The catalysts were mixed with acetylene black (AB) at a mass ration of 5:1, then were dispersed in isopropanol/water (v/v = 1:4) solvent followed by the addition of Na+-exchanged Nafion as the binder. The mixtures were ultrasonicated for 30 min to reach homogeneous ink. The concentration of oxides in ink is 5 mg/ml, and AB is 1 mg/ml. Before drop-casting, the glassy carbon electrodes were polished to a mirror finish with α-Al2O3 (50 nm) and washed by IPA and water to clean up completely. Finally, the as-prepared ink (100 ul) was dropped onto glassy carbon electrodes to reach a loading mass of 500 μgox cm−2 and the electrodes were dried overnight at room temperature. Cyclic voltammograms (CVs), linear sweep voltammetry (LSV), and chronoamperometry (CA) were performed in O2-saturated 1 M KOH by using Bio-logic SP 150 potentiostat. All potentials were converted to RHE scale according to the following equation: RHE = Hg/HgO + 0.098 with iR correction. The tests of methanol oxidation reaction (MOR) and ethylene glycol oxidation reaction (EGOR) on CFO electrodes are similar to the OER test. The difference is that the MOR and EGOR were studied in 1 M KOH 100 ml electrolyte in the presence of 1 ml methanol and 1 ml ethylene glycol, respectively64.

### Materials characterizations

The X-ray diffraction (XRD) of oxides were carried on Bruker D8 diffractometer at a scanning rate of 2° min−1, under Cu-Kα radiation (λ = 1.5418 Å). DC magnetization measurements were performed on a Superconducting Quantum Design (SQUID) magnetometer (MPMS-XL). The SQUID measurements of the magnetization of samples as a function of the magnetic field were carried out at 300 K in fields between −5 T and +5 T. The high-resolution transmission electron microscopy (HRTEM) was carried JEOL JEM- 2100 plus microscope at 200KV. The STEM results presented here were obtained using the 200 kV JEOL ARM electron microscope equipped (JEOL, Tokyo, Japan) with double aberration correctors, a dual-energy-loss spectrometer and a cold field emission source. The atomic-resolved STEM images were collected with a condense aperture of 28 mrad and a collection angle of 90–370 mrad for HAADF and 11–23 mrad for ABF images. The XPS measurements were performed using PHI-5400 equipment with Al Kα beam source (250 W) and a position-sensitive detector (PSD) was used to determine the surface composition of the materials. The Fourier transform infrared spectroscopy–Raman spectroscopy was carried with a confocal Raman microscope (Horiba HR Evolution), equipped with a diode laser emitting at 532 nm. The nominal laser power was filtered down to 1 mW to avoid sample overheating. Spectra were recorded with the accumulation time of 60 s.

### DFT studies

All the density functional theory (DFT) calculations were performed by Vienna Ab-initio Simulation Package65,66 (VASP), employing the Projected Augmented Wave67 (PAW) method. The revised Perdew-Burke-Ernzerhof (RPBE) functional was used to describe the exchange and correlation effects.68,69,70 The GGA + U calculations are performed using the model proposed by Dudarev et al.71, with the Ueff (Ueff = Coulomb U – exchange J) values of 3.3 eV and 4 eV for Co and Fe, respectively. For all the geometry optimizations, the cutoff energy was set to be 500 eV. A 3 × 3 × 1 Monkhorst-Pack grids72 was used to carry out the surface calculations on the (111) surface of CoFe2O4. At least 20 Å vacuum layer was applied in z-direction of the slab models, preventing the vertical interactions between slabs.

In alkaline conditions, OER could occur in the following four elementary steps:

$${\text{OH}}^{-}+\ast \to \ast \text{OH}+{e}^{-}$$
(2)
$${\text{OH}}^{-}+\ast \text{OH}\to \ast \text{O}+{e}^{-}$$
(3)
$${\text{OH}}^{-}+\ast \text{O}\to \ast \text{OOH}+{e}^{-}$$
(4)
$${\text{OH}}^{-}+\ast \text{OOH}\to \ast +{\text{O}}_{2}+{\text{H}}_{2}\text{O}+{e}^{-}$$
(5)

where * denotes the active sites on the catalyst surface. Based on the above mechanism, the free energy of three intermediate states, *OH, *O, and *OOH, are important to identify a given material’s OER activity. The computational hydrogen electrode (CHE) model73 was used to calculate the free energies of OER, based on which the free energy of an adsorbed species is defined as

$${\triangle \text{G}}_{\text{ads}}={\triangle \text{E}}_{\text{ads}}+{\triangle \text{E}}_{\text{ZPE}}-\text{T}{\triangle \text{S}}_{\text{ads}}$$
(6)

where ∆Eads is the electronic adsorption energy, ∆EZPE is the zero point energy difference between adsorbed and gaseous species, and TSads is the corresponding entropy difference between these two states. The electronic binding energy is referenced as ½ H2 for each H atom, and (H2O – H2) for each O atom, plus the energy of the clean slab. The corrections of zero point energy and entropy of the OER intermediates can be found in the Supplementary Table 2.

## Data availability

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

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## Acknowledgements

We thank the support from the National Nature Science Foundation of China (Grant No. 11274370 and 51471185) and the National National Key R&D Program of China (Grant No. 2016YFJC020013 and 2018FYA0305800). Authors in Singapore thank the support from the Singapore Ministry of Education Tier 2 Grants (MOE2017-T2-1-009 and MOE2018-T2-2–027) and the Singapore National Research Foundation under its Campus for Research Excellence and Technological Enterprise (CREATE) programme. We appreciate the Facility for Analysis, Characterisation, Testing, and Simulation (FACTS) at Nanyang Technological University for materials characterizations. This work was supported by the National Research Foundation (NRF), Prime Minister’s Office, Singapore under its Campus for Research Excellence and Technological Enterprise (CREATE) programme through the eCO2EP project operated by the Cambridge Centre for Advanced Research and Education in Singapore (CARES) and the Berkeley Educational Alliance for Research in Singapore (CARES).

## Author information

Authors

### Contributions

X.R., T.W., and Y.S. contribute equally to this work. Z.X., X.R., and T.W. conceived the original concept and designed the experiments. T.W. prepared the materials. X.R. performed most characterizations and analysis. G.X. and X.R. performed the Raman spectroscopy measurement. H.Y., X.R., and Y.L. carried out magnetic property measurements and analysis. Y.S. contributed the DFT calculations and analysis. T.W., X.R., H.Y., H.G., and Z.X. contributed the mechanism analysis. J.G. contributed the explanation of QSEI theory. X.R., T.W., Y.S., H.Y., X.L., C.S., H.G., and Z.X. wrote the manuscript with the input from all authors. All authors engaged in the analysis of experimental results and manuscript edition.

### Corresponding authors

Correspondence to Haitao Yang or Zhichuan J. Xu.

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### Competing interests

The authors declare no competing interests.

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Ren, X., Wu, T., Sun, Y. et al. Spin-polarized oxygen evolution reaction under magnetic field. Nat Commun 12, 2608 (2021). https://doi.org/10.1038/s41467-021-22865-y

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