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Nature Communications logoLink to Nature Communications
. 2026 May 7;17:6172. doi: 10.1038/s41467-026-72739-4

Electrosynthesis of 1,3-butadiene from dilute acetylene over coordination-modulated dicopper molecular catalysts

Wenzhe Xu 1,2,#, Pengfei Gao 3,#, Jianfeng Wu 1, Ran Du 1, Mengtao Li 1, Lingfeng Tang 1, Mingrui Li 3, Na Feng 3, Baoliang Zhang 1,2,✉, Zongjing Lu 4,✉, Lei Zhang 1,2,✉
PMCID: PMC13365539  PMID: 42098126

Abstract

Electrosynthesis of 1,3-butadiene from acetylene offers a promising alternative to energy-intensive industrial processes. Nonetheless, achieving selective hydrodimerization of acetylene remains challenging due to competing side reactions, particularly for dilute coal-derived acetylene. Herein, we synthesize a series of dicopper paddlewheel Cu2(LCOO)4 (L = tert-butyl, isopropyl, ethyl, and methyl), featuring bidentate bridging carboxylate ligands with specific Cu···Cu distances for electrocatalytic hydrodimerization of acetylene to 1,3-butadiene. Through catalyst benchmarking, in situ spectroscopy and computational analysis, we reveal that sequential modulation of carboxylate ligands (methyl → ethyl → isopropyl → tert-butyl) progressively enriches electron density at dicopper sites while strengthening structural robustness across the Cu2(LCOO)4 series. The optimized Cu2(tert-butylCOO)4 exhibits favorable reaction energetics for acetylene dimerization and subsequent hydrogenation, achieving 91% Faradaic efficiency with a 1,3-butadiene formation rate of 0.93 mmol h−1 cm−2 in a flow cell. For simulated production of 1,3-butadiene from coal-derived acetylene (15%) in a membrane electrode assembly system, this catalyst demonstrates 83% Faradaic efficiency at −300 mA. This work highlights an effective coordination modulation strategy for producing 1,3-butadiene via dicopper molecular catalysts.

Subject terms: Electrocatalysis, Electrocatalysis, Electrocatalysis


Electrosynthesis of 1,3-butadiene from dilute coal-derived acetylene is promising yet remains challenging due to competing side reactions. Here, the authors develop coordination-modulated dicopper molecular catalysts to steer the electrocatalytic dilute acetylene toward 1,3-butadiene.

Introduction

1,3-butadiene represents a pivotal feedstock in industrial chemistry, particularly for manufacturing rubber and plastic materials1. Current production of 1,3-butadiene predominantly employs extractive distillation of C4 streams from naphtha cracking2,3, a methodology that hinges on energy-intensive processes and finite petroleum reserves. In light of growing sustainability concerns, developing alternative production pathways has become a critical research priority. A promising approach involves the electrocatalytic hydrodimerization of coal-derived acetylene4,5, providing a petroleum-independent route for producing 1,3-butadiene under ambient conditions with water as the hydrogen source6–10.

Electrocatalytic hydrodimerization of acetylene to 1,3-butadiene typically occurs as a side reaction during the semihydrogenation of acetylene to ethylene, primarily due to the significantly lower Faradaic efficiency and minimal partial current density of 1,3-butadiene compared to ethylene11–17. Recently, by using a potassium iodide catholyte, Cu2O nanocube-derived catalysts selectively coupled acetylene to yield 1,3-butadiene18. Despite advancements, selective electrosynthesis of 1,3-butadiene is hindered by competitive side reactions, especially when processing dilute coal-derived acetylene. This challenge stems from the complexity of hydrodimerization process, including acetylene adsorption, activation, and complex multipoint relay carbon-carbon hydrodimerization, all of which necessitate a precise spatial arrangement of catalytic sites. Continuous catalytic sites benefit the oligomerization of acetylene/intermediates, generating oligomers such as polyacetylene that potentially poison the catalyst19–21. This contrasts sharply with the isolated single site, which predominantly favours unilateral reactions (Supplementary Fig. 1)22,23. Therefore, catalytic sites with specific distances are essential for acetylene hydrodimerization to 1,3-butadiene; however, implementing such precision in inorganic materials presents significant obstacles. Given this, the strategic integration of dimetal sites into the well-defined molecular skeleton holds significant promise for advancing the production of 1,3-butadiene24–27. Meanwhile, the molecular skeleton offers flexible coordinating ligands that can effectively fulfill the requirements for multi-step acetylene hydrodimerization through coordination modulation28–30.

In this work, a series of dicopper paddlewheel Cu2(LCOO)4 (L = tert-butyl (tBu), isopropyl (iPr), ethyl (Et), and methyl (Me)), bridged by bidentate carboxylate ligands with specific Cu···Cu distances, are developed for electrosynthesis of 1,3-butadiene. Through sequential modulation of the carboxylate ligands (Me → Et → iPr → tBu), we demonstrate progressive enhancement of electron density at dicopper sites and structural stability within the Cu2(LCOO)4 series. Among them, Cu2(tBuCOO)4 delivers optimal performance, attributed to its most electron-rich Cu sites that thermodynamically favor acetylene dimerization and subsequent hydrogenation steps. As a result, Cu2(tBuCOO)4 achieves a 1,3-butadiene Faradaic efficiency (FEC4H6) of 91% at −0.55 V vs. the reversible hydrogen electrode (vs. RHE), with a partial current density (JC4H6) of −50 mA cm−2 and a formation rate (FRC4H6) of 0.93 mmol h−1 cm−2 in 0.5 M K2SO4 catholyte using a flow cell. Particularly simulating the production of 1,3-butadiene from coal-derived acetylene (15%) in a membrane electrode assembly (MEA) system, Cu2(tBuCOO)4 exhibits FEC4H6 exceeding 82% at currents of ≤ −300 mA, and remains above 60% at −600 mA with a full-cell voltage (Ecell) of 1.94 V, while demonstrating 30-h stability at −300 mA.

Results and discussion

Synthesis and structural characterization of Cu2(tBuCOO)4

Figure 1a illustrates the synthesis of the dicopper paddlewheel Cu2(tBuCOO)4, featuring bidentate bridging tert-butylcarboxylate ligands. This Cu2(tBuCOO)4 was synthesized by reacting Cu(NO3)2·3H2O with potassium pivalate (tBuCOOK), and its crystallographic structure was subsequently determined through single-crystal X-ray diffraction (SCXRD) analysis. As revealed by the crystallographic structure in Fig. 1a and Supplementary Table 1, Cu2(tBuCOO)4 exhibited a distinctive paddlewheel configuration with dicopper sites (intramolecular Cu···Cu distance: 2.57 Å). In this structure, four tert-butylcarboxylate ligands (tBuCOO) occupied the equatorial positions, functioning as bidentate bridges to coordinate two axially distributed Cu atoms through Cu-O bonds (Supplementary Fig. 2). Besides, two solvent molecules (H2O) coordinated weakly to the dicopper sites along the axial outward direction, architecting a distorted square-pyramidal geometry around each Cu site (Supplementary Fig. 3 and Supplementary Table 2). Furthermore, optical microscopy (Fig. 1a), scanning electron microscopy (SEM, Supplementary Fig. 4), and energy dispersive spectroscopy (EDS, Supplementary Fig. 5) visualized that Cu2(tBuCOO)4 crystallized as micron-sized plates (5 ~ 10 μm) with the uniformly distributed elements of Cu, C, and O. The high phase purity and crystallinity of Cu2(tBuCOO)4 were unequivocally confirmed by comparing the powder X-ray diffraction (PXRD) pattern with simulated diffraction result derived from single crystal structural data (Fig. 1b).

Fig. 1. Synthesis illustration and structural characterization of the dicopper paddlewheel Cu2(tBuCOO)4.

Fig. 1

a Schematic representation for the synthesis of Cu2(tBuCOO)4, including its single crystal structure and corresponding optical microscopy photograph. b Experimental and simulated PXRD patterns of Cu2(tBuCOO)4 crystal. Inset: molecular structure of Cu2(tBuCOO)4 with solvent molecules (H2O) omitted for clarity. c UV-Vis absorption spectrum of Cu2(tBuCOO)4. d Raman and e FT-IR spectra of Cu2(tBuCOO)4 and tBuCOOK precursor. f Normalized Cu K-edge XANES and g FT-EXAFS spectra in R-space of Cu2(tBuCOO)4 using Cu foil, Cu2O, and CuO as references.

Additionally, the molecular structure of Cu2(tBuCOO)4 was validated by various spectroscopic techniques. The ultraviolet-visible (UV-Vis) absorption spectrum of Cu2(tBuCOO)4 displayed two peaks at 313 nm and 352 nm, assigned to the charge transfer between ligand and metal (Fig. 1c), alongside the intra-ligand charge transition (250 nm) and Cu d-d charge transition (676 nm), manifesting the formation of the Cu-ligand complex31. Compared to the tBuCOOK precursor, Raman signals associated with the deformation vibrations of Cu-Cu-O and O-Cu-O bonds were observed at 163 cm−1, 185 cm−1, and 207 cm−1 for Cu2(tBuCOO)4 (Fig. 1d)32,33. Similarly, Fourier transform infrared (FT-IR) spectrum of Cu2(tBuCOO)4 displayed a characteristic Cu-O stretching vibration at 620 cm−1 (Fig. 1e)34,35. Meanwhile, the Δν (COO−) value (160 cm−1), representing the difference between antisymmetric (1573 cm−1) and symmetric (1413 cm−1) carboxylate stretching modes, provided spectroscopic evidence for the bidentate bridging coordination of Cu-O bonds36,37. X-ray absorption spectroscopy (XAS) was employed to further investigate the electronic structure and local coordination environment of Cu sites in Cu2(tBuCOO)4. The Cu K-edge X-ray absorption near edge structure (XANES) spectrum of Cu2(tBuCOO)4 closely resembled that of standard CuO, indicating a Cu2+oxidation state (Fig. 1f). This result corresponds to its Cu 2p (Cu 2p3/2, 935.1 eV) and Cu LMM Auger (571.3 eV) X-ray photoelectron spectroscopy (XPS) spectra (Supplementary Fig. 6)38,39. Moreover, a small pre-edge peak observed at 8978 eV, assigned to the 1 s → 3 d transition for the Cu2+ d9 configuration, also confirmed the presence of Cu2+40–42. Fourier-transformed k3-weighted extended X-ray absorption fine structure (FT-EXAFS) spectrum of Cu2(tBuCOO)4 revealed a distinct peak associated with the Cu-O scattering path at 1.53 Å in the first shell (Fig. 1g), consistent with the deconvoluted Cu-O peak at 530.2 eV in the high-resolution O 1 s spectrum (Supplementary Fig. 6). Unlike Cu foil, no prominent Cu-Cu peak was detected at 2.24 Å in Cu2(tBuCOO)4, excluding the formation of Cu clusters. These spectroscopic findings corroborate the crystallographically determined paddlewheel configuration of Cu2(tBuCOO)4 with dicopper sites, wherein each axial Cu atom establishes bidentate bridges with four O atoms from distinct equatorial tert-butylcarboxylate ligands.

Electrocatalytic performance of Cu2(tBuCOO)4 in 1,3-butadiene electrosynthesis

The electrosynthesis of 1,3-butadiene for Cu2(tBuCOO)4 was first investigated in a three-electrode flow cell, with 0.5 M K2SO4 as catholyte and pure acetylene as feed gas (Supplementary Fig. 7). As illustrated by the polarization curve (Supplementary Fig. 8), Cu2(tBuCOO)4 delivered a current density of −164 mA cm−2 at −1.0 V vs. RHE under pure acetylene feed. Replacing acetylene with argon led to a substantial decrease in current density, indicating enhanced electrocatalytic activity of Cu2(tBuCOO)4 towards acetylene. The output stream from potentiostatic electrolysis (−0.65 V vs. RHE) using acetylene or argon feed was analysed by gas chromatography (GC). The formation of 1,3-butadiene (C4H6) was observed exclusively with acetylene feed, whereas no corresponding signal was detected under argon (Fig. 2a). The identity of C4H6 product was further verified by mass spectrometry (MS), which showed fragmentation patterns identical to those of 1,3-butadiene reference (Fig. 2b), demonstrating its formation through electrocatalytic acetylene hydrodimerization of Cu2(tBuCOO)4.

Fig. 2. Electrocatalytic performance of Cu2(tBuCOO)4 for 1,3-butadiene electrosynthesis benchmarked against commercial Cu-based electrocatalysts in a three-electrode flow cell.

Fig. 2

a GC profiles of gaseous products from Cu2(tBuCOO)4-catalyzed potentiostatic electrocatalysis (−0.65 V vs. RHE) under acetylene or argon feed. b MS analysis of C4H6 product from Cu2(tBuCOO)4, referenced to 1,3-butadiene standard. c Product FE distributions and JC4H6 as a function of applied potentials (E) for Cu2(tBuCOO)4 under pure acetylene without iR compensation. Comparison of d FEC4H6 and e JC4H6 between Cu2(tBuCOO)4 and commercial Cu-based catalysts at an equivalent Cu loading. The error bars of FEC4H6 and error bands of JC4H6 in c-e represent the standard deviation from three independent experiments. f FEC4H6 (top) and JC4H6 (bottom) of Cu2(tBuCOO)4 for acetylene hydrodimerization with 15%, 50% and 100% acetylene concentrations.

The potential-dependent product FE distributions for acetylene hydrodimerization over Cu2(tBuCOO)4 were then investigated (Fig. 2c). Remarkably, Cu2(tBuCOO)4 exhibited an optimal FEC4H6 of 91% at −0.55 V, while maintaining its values above 61% throughout the potential range from −0.55 V to −0.85 V. At −0.85 V, Cu2(tBuCOO)4 achieved a JC4H6 of −50 mA cm−2 and a FRC4H6 of 0.93 mmol h−1 cm−2. To benchmark these results, comparative studies were conducted using commercial Cu-based catalysts (Cu, CuO, and Cu2O catalysts characterized in Supplementary Fig. 9) with an equivalent Cu loading of 0.48 mg cm−2, determined from the optimized loading of Cu2(tBuCOO)4 (details in Supplementary Figs. 10–11). As shown by the comparison in Fig. 2d, e and Supplementary Fig. 12, Cu2(tBuCOO)4 demonstrated improved FEC4H6 and JC4H6 relative to commercial Cu-based catalysts within the potential window of −0.55 V to −0.85 V. Specifically, the FEC4H6 of Cu2(tBuCOO)4 reached 91% at −0.55 V, substantially surpassing commercial CuO (80%), Cu2O (77%), and Cu (67%) catalysts (Fig. 2d). At −0.85 V, Cu2(tBuCOO)4 exhibited a significantly higher JC4H6 of −50 mA cm−2 compared to commercial CuO (−13 mA cm−2), Cu2O (−5 mA cm−2), and Cu (−8 mA cm−2) catalysts (Fig. 2e). Considering the dilution of coal-derived acetylene, we next investigated the hydrodimerization performance of Cu2(tBuCOO)4 at lower acetylene concentrations of 15% and 50% (Fig. 2f and Supplementary Fig. 13). Although JC4H6 at −0.85 V decreased from −50 mA cm−2 (pure acetylene) to −30 mA cm−2 (15% acetylene), FEC4H6 at −0.55 V was maintained at 84% (15% acetylene) relative to the 91% obtained for pure acetylene. Notably, Cu2(tBuCOO)4 exhibited competitive performance relative to previously reported Cu-based electrocatalysts, particularly regarding its FEC4H6 and JC4H6 at low C2H2 concentrations (Supplementary Fig. 14 and Supplementary Table 3)18,43,44. To establish the necessity of dicopper within the paddlewheel structure, a comparative study was conducted utilizing dicopper (named Cu2) and monocopper (named Cu1) molecular catalysts (Supplementary Fig. 15 and Supplementary Note 1). Cu2 displayed markedly improved performance relative to Cu1, with 23% enhanced FEC4H6 and 5-fold higher JC4H6 at −0.8 V (Supplementary Fig. 16). These results clearly demonstrate that dicopper paddlewheel complex preferentially electrocatalyzes acetylene hydrodimerization to 1,3-butadiene over the competing acetylene semihydrogenation to ethylene.

Coordination modulation of Cu2(LCOO)4 for improved 1,3-butadiene electrosynthesis

A series of dicopper paddlewheel Cu2(LCOO)4, bearing three distinct carboxylate ligands (L = iPr, Et, and Me), were synthesized as controls (Fig. 3a) for investigating the mechanism of acetylene hydrodimerization over Cu2(tBuCOO)4. The dicopper paddlewheel configuration with bidentate bridging carboxylates was confirmed for all Cu2(LCOO)4 (L = iPr, Et, and Me) through comprehensive characterization (SCXRD, PXRD, optical microscopy, UV-Vis, Raman, FT-IR, XPS, SEM, and EDS analyses in Supplementary Figs. 17–31 and Supplementary Note 2). Additionally, FT-EXAFS and Cu K-edge XANES spectra demonstrated that all Cu2(LCOO)4 featured Cu-O coordination and Cu2+ sites (Fig. 3b, c), substantiating their structural homology with Cu2(tBuCOO)4 despite different carboxylate ligands. It is noteworthy that carboxylate ligands greatly affect the electronic structure of Cu sites, as evidenced by the negative energy shift of the absorption edge from Cu2(MeCOO)4 to Cu2(tBuCOO)4 in the Cu K-edge XANES (Fig. 3c). This observation was further reinforced by Cu L-edge spectra (Supplementary Fig. 32), where characteristic L3 (931.2 eV) and L2 (951.2 eV) transitions progressively decreased in peak intensity in the order Me > Et > iPr > tBu, signifying an increased Cu electron density across the Cu2(LCOO)4 series45,46. UV-Vis absorption wavelength also underwent a red shift as the carboxylate functional groups varied from Me to tBu, which reflects enhanced carboxylate ligand-to-Cu charge transfer (Fig. 3d)30. Correspondingly, the negative shift in Cu2⁺ binding energy from Cu2(MeCOO)4 to Cu2(tBuCOO)4 implied progressively stronger electron-donating capacity of carboxylate ligands to the Cu sites (Fig. 3e)47,48. Regardless of the ligand effect, four Cu2(LCOO)4 complexes exhibited comparable intramolecular and intermolecular Cu···Cu distances (Supplementary Fig. 33 and Supplementary Table 4).

Fig. 3. Coordination modulation of dicopper molecular catalysts for 1,3-butadiene electrosynthesis in a three-electrode flow cell.

Fig. 3

a Molecular structures of dicopper paddlewheel Cu2(LCOO)4 with four distinct carboxylate ligands (L = tBu, iPr, Et, and Me). For clarity of visualization, solvent molecules have been omitted. b FT-EXAFS in R-space and c normalized Cu K-edge XANES spectra for Cu2(LCOO)4 and the references. d UV-Vis absorption spectra showing carboxylate ligand-to-metal charge transfer in Cu2(LCOO)4. e Cu LMM Auger spectra of Cu2(LCOO)4. f FEC4H6 and g JC4H6 at various potentials (E) of Cu2(LCOO)4 catalysts in 0.5 M K2SO4 catholyte under pure acetylene feed without iR compensation. The error bars of FEC4H6 and error bands of JC4H6 in f, g represent the standard deviation from three independent experiments.

Subsequently, four Cu2(LCOO)4 complexes (L = tBu, iPr, Et, and Me) were systematically evaluated for electrocatalytic acetylene hydrodimerization. In a three-electrode flow cell (0.5 M K2SO4 catholyte, pure acetylene feed), Cu2(tBuCOO)4 delivered the highest current density of −164 mA cm−2 at −1.0 V vs. RHE (Supplementary Fig. 34), substantially surpassing Cu2(iPrCOO)4 (−118 mA cm−2), Cu2(EtCOO)4 (−93 mA cm−2), and Cu2(MeCOO)4 (–78 mA cm−2). Across the potential range of −0.55 V to −0.85 V, Cu2(tBuCOO)4 achieved the maximum FEC4H6 compared to other Cu2(LCOO)4 (L = iPr, Et, and Me), while consistently keeping FEC4H6 values above 61% throughout this range (Fig. 3f and Supplementary Fig. 34). As depicted in Fig. 3g and Supplementary Fig. 35, a positive correlation was observed between JC4H6 and the series of carboxylate ligands (Me → Et → iPr → tBu), with Cu2(tBuCOO)4 emerging as the optimal catalyst for acetylene hydrodimerization, presumably owing to its strongly electron-donating tBuCOO ligand.

Electrocatalytic acetylene hydrodimerization by Cu2(LCOO)4 in MEA systems

The viability of Cu2(LCOO)4 molecular catalysts for practical implementation is fundamentally determined by their 1,3-butadiene electrosynthesis performance within MEA systems49,50. Accordingly, we investigated electrocatalytic acetylene hydrodimerization using Cu2(LCOO)4 as the cathode in a catholyte-free MEA system with humidified acetylene feed (Fig. 4a and Supplementary Fig. 36). Here, iridium oxide supported on titanium felt (IrO2/Ti felt) served as the anode for the oxygen evolution reaction in 1 M KOH anolyte. Under humidified pure acetylene feed in a MEA system (cathodic area: 1 × 1 cm2), Cu2(tBuCOO)4 produced current densities ranging from −20 mA cm−2 to −70 mA cm−2 within the Ecell window of 1.75 V to 2.03 V. Concomitantly, Cu2(tBuCOO)4 maintained FEC4H6 values above 51% over this voltage window, culminating in a maximal FEC4H6 of 85% at an Ecell of 1.75 V (Fig. 4b). By contrast, other Cu2(LCOO)4 complexes (L = iPr, Et, and Me) exhibited lower FEC4H6 and less favorable Ecell under identical conditions (Fig. 4c and Supplementary Figs. 37–38). The FEC4H6 of Cu2(LCOO)4 at −60 mA cm−2 exhibited a stepwise increase across the carboxylate ligand series (Me → Et → iPr → tBu), reaching values of 32%, 45%, 54%, and 62%, respectively. This positive correlation between FEC4H6 and carboxylate ligands aligned with observations from flow cell experiments.

Fig. 4. Electrocatalytic acetylene hydrodimerization over dicopper molecular catalysts in the MEA system.

Fig. 4

a Exploded view of the MEA configuration. Experiments were conducted with cathodic areas of b–d 1 × 1 cm2 and e, f 5 × 5 cm2. Two types of acetylene feeds were assessed: humidified pure acetylene (100%, b, c) and simulated coal-derived acetylene (15%, d–f). b Product FE distributions and corresponding Ecell versus current densities (J) for Cu2(tBuCOO)4 without iR compensation. c Comparison of FEC4H6 among different Cu2(LCOO)4 molecular catalysts (L = tBu, iPr, Et, and Me) under identical MEA conditions. d FEC4H6 as a function of current densities for Cu2(tBuCOO)4 at different gas flow rates. The error bands and error bars in (b–d) represent the standard deviation from three independent experiments. e FEC4H6 and Ecell versus applied currents, as well as (f) long-term operational stability at −300 mA for Cu2(tBuCOO)4 in an enlarged MEA electrolyzer (gas flow rate: 60 sccm).

For emulating the industrial 1,3-butadiene production from coal-derived acetylene, we performed the electrocatalytic hydrodimerization of acetylene over Cu2(tBuCOO)4 in a MEA electrolyzer with humidified 15% acetylene (Ar balance)4,5. Given that the gas flow rate directly impacts acetylene diffusion and mass transport, particularly with dilute acetylene feed, we initially studied the acetylene hydrodimerization of Cu2(tBuCOO)4 using 15% acetylene at different flow rates (Fig. 4d and Supplementary Figs. 39–40). Cu2(tBuCOO)4 exhibited optimal performance at a flow rate of 60 standard cubic centimetres per minute (sccm), reaching a FEC4H6 of 78% at −20 mA cm−2 (Ecell = 1.72 V) and maintaining FEC4H6 values above 46% at −70 mA cm−2 (Ecell = 1.97 V). However, at −70 mA cm−2, the FEC4H6 dropped to 28% at 30 sccm and 26% at 100 sccm, attributed to enhanced side reactions resulting from insufficient mass transport at low flow rates and limited reactant-catalyst residence time at high flow rates8. Remarkably, the MEA performance of Cu2(tBuCOO)4 was competitive with that of previously reported Cu-based catalysts for the electrosynthesis of 1,3-butadiene in a two-electrode configuration (Supplementary Table 5). Furthermore, Cu2(tBuCOO)4 enabled efficient 1,3-butadiene electrosynthesis in an enlarged MEA electrolyzer (5 × 5 cm2) with 15% acetylene feed at 60 sccm (Supplementary Fig. 41). As shown in Fig. 4e and Supplementary Fig. 42, the FEC4H6 exceeded 82% at currents of ≤ −300 mA and remained above 60% at -600 mA (Ecell = 1.94 V). Additionally, Cu2(tBuCOO)4 demonstrated 30 h stability at −300 mA, sustaining FEC4H6 between 87% and 69% with a stable Ecell ranging from 1.73 V to 1.88 V (Fig. 4f). Moreover, the preliminary techno-economic analysis (TEA) established the economic viability of C4H6 electrosynthesis pathway from 15% coal-derived acetylene, utilizing the specific parameters applied in a 25 cm2 MEA electrolyzer (Supplementary Note 3 and Supplementary Fig. 43).

Mechanistic insights into 1,3-butadiene electrosynthesis over Cu2(LCOO)4

In order to elucidate the mechanism of acetylene hydrodimerization over Cu2(LCOO)4, operando XAS experiments were first performed on the Cu2(LCOO)4 electrodes to identify their true active sites under working conditions (Supplementary Fig. 44). For the Cu2(tBuCOO)4, no apparent changes in the Cu K-edge were observed from the XANES and corresponding first-order derivative spectra throughout the electrocatalytic process, suggesting its Cu sites stabilized at the +2 state (Fig. 5a and Supplementary Fig. 45). Quasi-in situ XPS spectra of Cu2(tBuCOO)4 further indicated the stabilization of Cu2+ sites during acetylene hydrodimerization (Supplementary Fig. 46). When the applied potential varied from open circuit potential (OCP) to −0.85 V vs. RHE, Cu2(tBuCOO)4 retained identical Cu-O coordination without any additional Cu-Cu scattering path, as verified by FT-EXAFS and wavelet-transformed EXAFS (WT-EXAFS) (Fig. 5b, c). Meanwhile, the coordination numbers of the Cu-O and Cu-Cu paths held steady at ~ 4 and ~ 1 according to quantitative EXAFS fitting analysis (Supplementary Fig. 47 and Supplementary Table 6). Furthermore, quasi-in situ XRD patterns and FT-IR spectra of Cu2(tBuCOO)4 electrode after acetylene hydrodimerization exhibited characteristic crystalline peaks and distinct spectral features related to Cu-O stretching and carboxylate stretching vibrations, in agreement with the pristine Cu2(tBuCOO)4 electrode (Supplementary Fig. 48). The proton nuclear magnetic resonance (1H NMR) spectrum of the catholyte collected after the reaction revealed no ligands associated with Cu2(tBuCOO)4, suggesting no substantial leaching or breakdown (Supplementary Fig. 49). These results, together with ex-situ HAADF-STEM and elemental mapping images (Supplementary Fig. 50), confirm that Cu2(tBuCOO)4 preserved its structural integrity during electrocatalysis, consistent with the observations reported for Cu molecular catalysts51. Similarly, the XAS results for Cu2(iPrCOO)4 and Cu2(EtCOO)4 demonstrated their Cu2+ sites and Cu-O coordination persisted throughout the acetylene hydrodimerization (Fig. 5d, e, Supplementary Figs. 51–56 and Supplementary Tables 7–8). These findings were further substantiated by analyses of quasi-in situ XPS spectra, XRD patterns and FT-IR spectra, as well as ex-situ 1H NMR, HAADF-STEM and elemental mapping images (Supplementary Figs. 57–64).

Fig. 5. Mechanistic investigation of 1,3-butadiene electrosynthesis over dicopper molecular catalysts.

Fig. 5

Operando a Cu K-edge XANES, b FT-EXAFS spectra in R-space, and c WT-EXAFS contour plots for Cu2(tBuCOO)4 electrode during acetylene hydrodimerization. Cu foil, Cu2O, and CuO are included as references in (a–c). Operando d Cu K-edge XANES and e FT-EXAFS spectra in R-space of four Cu2(LCOO)4 electrodes at OCP and −0.85 V vs. RHE. f Charge density difference for adsorbed C2H2 on the Cu2(LCOO)4 (L = tBu, iPr, and Et). Blue, red, brown, and white spheres represent Cu, O, C, and H atoms, respectively. Cyan and yellow indicate charge depletion and accumulation, respectively. g Free energy diagrams for electrocatalytic acetylene hydrodimerization on various Cu2(LCOO)4 at 0 V vs. SHE. Inset: detailed configuration of reaction intermediates on Cu2(tBuCOO)4, represented by blue, red, brown, and white spheres for Cu, O, C, and H atoms, respectively. h Potential-dependent in situ ATR-SEIRAS spectra of Cu2(tBuCOO)4 electrode during electrocatalytic acetylene hydrodimerization. i In situ Raman spectra of electrocatalytic acetylene hydrodimerization process for Cu2(tBuCOO)4 electrode, recorded from OCP to −0.6 V vs. RHE.

Conversely, a Cu0 peak at ~ 8981 eV appeared in the Cu K-edge XANES spectra of Cu2(MeCOO)4 once the applied potential deviated from OCP (Fig. 5d). This peak was clearly discernible in the first-order derivative XANES spectra (Supplementary Fig. 65) and matched the Cu0 peak identified from quasi-in situ XPS results (Supplementary Fig. 66). Moreover, FT-EXAFS and WT-EXAFS spectra of Cu2(MeCOO)4 at −0.85 V vs. RHE closely resembled those of the Cu foil standard (Fig. 5e and Supplementary Fig. 67), with the Cu-Cu coordination number approaching ~ 5 (Supplementary Fig. 68 and Supplementary Table 9). Besides, no characteristic crystalline and vibrational peaks were detected in the quasi-in situ XRD and FT-IR results for Cu2(MeCOO)4 electrode after the reaction (Supplementary Fig. 69). Concurrently, 1H NMR spectrum of the catholyte obtained post-reaction displayed methyl protons referencing to pure acetic acid (Supplementary Fig. 70). These results suggested structural reconstruction of Cu2(MeCOO)4, which was also observed via ex-situ HAADF-STEM and HR-TEM (Supplementary Figs. 71–72). This dynamic reconstruction of Cu2(MeCOO)4 probably arises from its lower binding energy between Cu and ligands relative to other Cu2(LCOO)4 catalysts (Supplementary Fig. 73). Additionally, the role of Cu sites within these intact complexes (Cu2(LCOO)4, L = tBu, iPr, and Et) was further elucidated by comparing their electrocatalytic performance with that of corresponding pristine carboxylic acid ligands (LCOOH, L = tBu, iPr, and Et). The pristine ligands showed minimal catalytic activity relative to the complexes (Supplementary Fig. 74), confirming that the Cu active sites in these complexes primarily drive the 1,3-butadiene electrosynthesis.

Second, molecular dynamics (MD) simulations were performed at 298.15 K to examine the steric hindrance of alkyl substituents (tBu, iPr, and Et) within Cu2(LCOO)4 on acetylene adsorption and diffusion. Initial analyses, including molecular density and mean square displacement (MSD), suggested that steric hindrance had a negligible impact on the overall acetylene adsorption capacity and its transport to the catalyst surface (Supplementary Figs. 75–77 and Supplementary Note 4). We then computed the radial distribution function (RDF) to assess the local accessibility of acetylene around the Cu sites. Cu2(EtCOO)4 exhibited a significantly higher g value at its secondary peak (5.5 Å, g ≈ 3.1) compared to Cu2(iPrCOO)4 (5.7 Å, g ≈ 2.3) and Cu2(tBuCOO)4 (6.0 Å, g ≈ 1.6) (Supplementary Fig. 78 and Supplementary Note 4). This indicates that acetylene accessibility to the Cu sites increases in the order of tBu < iPr < Et, attributable to decreasing steric hindrance52,53. Despite this observed difference in local steric hindrance, Cu2(tBuCOO)4 consistently achieved optimal performance. To elucidate the electronic contribution distinct from steric effects, charge density difference and Bader charge analyses were conducted. The carboxylate ligands enriched the electron density at Cu sites in the order of Et < iPr < tBu, which correlated positively with their FEC4H6 at −60 mA cm−2 in the MEA system (Supplementary Fig. 79). Moreover, the charge density difference revealed that Cu2(tBuCOO)4, with more electron-rich Cu sites, exhibited greater electron donation to adsorbed acetylene (0.145 e−) than Cu2(iPrCOO)4 (0.141 e−) and Cu2(EtCOO)4 (0.131 e−), implying a stronger acetylene activation capability (Fig. 5f). Consequently, the enhanced electron density of Cu active sites is the primary factor contributing to its competitive catalytic performance, offsetting the unfavorable effects of local steric hindrance. Mechanistically, this enriched electron density enhances back-donation into the antibonding π* orbital of *C2H29,54, weakening the C≡C triple bond and intrinsically boosting the reactivity of acetylenic carbons toward C-C coupling. Simultaneously, the dicopper paddlewheel configuration spatially co-activates two *C2H2 intermediates in close proximity, and this synergy between electronic activation and geometric pre-organization collectively benefits the C-C coupling energetics. Furthermore, we investigated free energy diagrams of Cu2(tBuCOO)4 along the precoupling and prehydrogenation pathways (Supplementary Fig. 80). Among these pathways, the most energetically favorable route involves the intermolecular dicopper-mediated precoupling of *C2H2 to *C4H4 (∆G values = −1.87 eV), followed by hydrogenation to *C4H5 (∆G = −0.06 eV) (Supplementary Fig. 81). Accordingly, free energy diagrams of other Cu2(LCOO)4 catalysts were also performed via the precoupling pathway (Fig. 5g). All Cu2(LCOO)4 energetically favored the precoupling of *C2H2 into *C4H4. Notably, the subsequent hydrogenation of *C4H4 to *C4H5 was exothermic for Cu2(tBuCOO)4, but endothermic for other Cu2(LCOO)4 catalysts, thus defining this step as the rate-determining step (RDS). The corresponding ∆GRDS declined in the sequence of Et (0.29 eV) → iPr (0.27 eV) → tBu (−0.06 eV), in line with progressive enhancement in hydrodimerization performance from Et to tBu.

Third, operando electrochemical impedance spectroscopy (EIS) was carried out on Cu2(LCOO)4 to probe interfacial behavior and reaction kinetics during acetylene hydrodimerization55. The frequency and phase angle intensity in the Bode plots derived from the EIS spectra reflected the charge transfer associated with reduction processes at the catalyst/electrolyte interface56,57. For Cu2(tBuCOO)4, changing the feed gas from argon to acetylene resulted in phase angle peaks shifting to higher frequencies along with decreased intensities, signifying a faster charge transfer process (Supplementary Fig. 82)57,58. Clearly, acetylene electroreduction kinetics were accelerated from Cu2(EtCOO)4 to Cu2(tBuCOO)4, as demonstrated by their reduced peak intensity and high-frequency shift of the phase angle peak at −0.5 V (Supplementary Fig. 83a). Meanwhile, Cu2(tBuCOO)4 exhibited a lower charge transfer resistance ( ~ 42 Ω) than Cu2(iPrCOO)4 ( ~ 92 Ω) and Cu2(EtCOO)4 ( ~ 126 Ω) (Supplementary Fig. 83b), further suggesting its rapid kinetics of acetylene hydrodimerization58. Afterwards, in situ attenuated total reflection surface-enhanced infrared absorption spectroscopy (ATR-SEIRAS) was employed to monitor the electrocatalytic acetylene hydrodimerization on Cu2(LCOO)4 (L = tBu, iPr, and Et) electrodes (Supplementary Fig. 84). Upon switching the potential from OCP to −0.5 V, Cu2(tBuCOO)4 displayed characteristic bands at 1106 and 1500 cm−1 assigned to the dimerization intermediate *C4H4 (Fig. 5h)44,59. Meanwhile, bands corresponding to hydrogenated *C4H6 species appeared at 1261 cm−1 (C−H bending), 1331 cm−1 (=CH2 bending), 1384 and 1451 cm−1 (=CH2 scissoring), and 1569 cm−1 (C=C stretching), matching the spectral features of adsorbed 1,3-butadiene60–62. These features intensified at more negative potentials, reflecting the efficient accumulation of intermediates conducive to 1,3-butadiene production. By contrast, Cu2(iPrCOO)4 exhibited comparable *C4H4 intensity but considerably weaker *C4H6 signals (Supplementary Fig. 85a), whereas Cu2(EtCOO)4 showed minimal *C4H6 variation alongside a new band at 1179 cm−1 assignable to *C2H4 (Supplementary Fig. 85b)63, suggesting competing acetylene semihydrogenation to ethylene. To further corroborate the ATR‑SEIRAS results, in situ electrochemical Raman spectra were recorded at various potentials for Cu2(tBuCOO)4 (Supplementary Fig. 86). Upon applying negative potentials (Fig. 5i), the C≡C stretching vibration appeared at 1964 cm−1, showing a redshift relative to gas‑phase acetylene (1974 cm−1), indicative of π-adsorbed acetylene (*C2H2)64,65. Concurrently, the C≡C and C=C stretching vibrations were detected at 2106 and 1541 cm−1, attributable to vinyl acetylene (*C4H4) existing as an isomer of CH=CH−CH=CH intermediate44,59, in good agreement with the *C4H4 configuration predicted by the free energy diagram of Cu2(tBuCOO)4. As the potential increased from 0 V to −0.6 V, a characteristic peak at 1685 cm−1 was significantly intensified, attributed to the C=C symmetric stretching vibration of 1,3-butadiene (*C4H6)66–68. During the aforementioned in situ Raman processes, Cu2(tBuCOO)4 electrode retained its integrity, as evidenced by unchanged characteristic peaks for O-Cu-O bending, COO rocking, and C-C stretching (Supplementary Fig. 87)33,69. Importantly, no polyacetylene signals were observed for Cu2(tBuCOO)4, whereas distinct polyacetylene peaks appeared for commercial Cu catalysts (Supplementary Fig. 88). This contrast underscores the superiority of dicopper sites over continuous Cu surfaces in suppressing polyacetylene formation. Beyond these surface-sensitive spectroscopic probes, online differential electrochemical mass spectrometry (DEMS) was employed to monitor volatile intermediates and gaseous products (Supplementary Figs. 89–90). Signals for the C4H4 intermediate (m/z = 52) and the C4H6 product (m/z = 54) were detected concurrently. Substituting D2O for H2O in the 0.5 M K2SO4 electrolyte yielded an m/z = 56 signal (C4H4D2) alongside the C4H4 signal, directly proving that H2O serves as the hydrogen source for the hydrogenation of C4H4 into C4H6. Combined with in situ ATR-SEIRAS and Raman observations described above, these converging results from three independent techniques confirm the stepwise reaction pathway: C-C coupling of C2H2 to form the C4H4 intermediate, followed by its hydrogenation to generate C4H6.

In summary, we designed a series of dicopper molecular catalysts with bidentate bridging carboxylate ligands, developing a coordination modulation strategy that effectively orients the electrocatalytic acetylene hydrodimerization towards 1,3-butadiene production. Remarkably, Cu2(tBuCOO)4 with tert-butylcarboxylate ligands demonstrated competitive performance for 1,3-butadiene electrosynthesis compared to previously reported Cu-based catalysts under both pure acetylene and simulated coal-derived acetylene feeds. Mechanistic studies unveiled that this improved hydrodimerization performance originates from the optimized electron-donating character of tert-butylcarboxylate ligands, which preserves Cu site integrity while facilitating acetylene dimerization and subsequent hydrogenation. This work underscores the significance of strategic coordination modulation in molecular dicopper sites for advanced 1,3-butadiene electrosynthesis.

Mothods

Chemicals and materials

All chemical reagents were commercially available and were employed without any treatment. Potassium pivalate (tBuCOOK, 98%), pivalic acid (tBuCOOH, 99%), isobutyric acid (iPrCOOH, 99%), propionic acid (EtCOOH, 99%), acetic acid (MeCOOH, 99%), copper (II) oxide (CuO, 99.5%), deuterated water (D2O, 99.8%), and 5 wt% Nafion solution were obtained from Adamas. Copper (II) hydroxide (Cu(OH)2, 94%), cuprous (I) oxide (Cu2O, 99.5%), and copper (Cu, 99.9%) catalysts were purchased from Shanghai Macklin Biochemical Co., Ltd. Copper (II) nitrate trihydrate (Cu(NO3)2·3H2O, 99%), acetone (CH3COCH3, 99.5%), and hydrochloric acid (HCl, CP, 36 ~ 38%) were acquired from Sinopharm Chemical Reagent Co., Ltd. Methanol (CH3OH, 99.9%), ethanol (CH3CH2OH, 99.9%), ethyl acetate (C4H8O2, 99.5%), cyclohexane (C6H12, 99.9%), n-hexane (C6H14, 99%), 1,4-dioxane (C4H8O2, 99.5%), and isopropanol ((CH3)2CHOH, 99.7%) were supplied by Guangdong Guanghua Sci-Tech Co., Ltd. Iridium chloride hydrate (IrCl3·3H2O, 99.9%) was purchased from Shanghai Aladdin Bio-Chem Technology Co., Ltd. Potassium sulphate (K2SO4, 99%) was achieved from Shanghai Titan Scientific Co., Ltd. Titanium felt was purchased from KunShan Kuangxun Ltd. (China). The carbon paper with a gas diffusion layer (Sigracet 29 BC) and anion exchange membrane (AEM) was offered by the Fuel Cell Store. All electrolytes were prepared fresh as needed using ultra-pure water produced by a high-Q distillation system ( > 18.25 MΩ) and were stored at room temperature (25 °C).

Synthesis of dicopper paddlewheel Cu2(tBuCOO)4

Cu2(tBuCOO)4 was synthesized by reacting Cu(NO3)2·3H2O with tBuCOOK in aqueous solution. Typically, 1 mmol of Cu(NO3)2·3H2O was dissolved in 15 mL ultra-pure water. An aqueous solution of tBuCOOK (2 mmol in 15 mL ultra-pure water) was then added slowly to the above solution, resulting in the precipitation of blue crystals. Finally, the blue product was collected by vacuum filtration and washed thoroughly with ultra-pure water (3 × 50 mL). Product yield: 49%. Elemental analysis calculated (%) for C20H40Cu2O10: C 42.32, H 7.12, O 28.19; found (%): C 42.38, H 7.09, O 28.09.

Synthesis of dicopper paddlewheel Cu2(LCOO)4 (L = iPr, Et, and Me)

A series of dicopper paddlewheel Cu2(LCOO)4 was synthesized using corresponding carboxylic acids and copper (II) precursors. Specifically, Cu2(iPrCOO)4 was synthesized from iPrCOOH and CuO; Cu2(EtCOO)4 from EtCOOH and Cu(OH)2; and Cu2(MeCOO)4 from MeCOOH and CuO. Generally, carboxylic acid (2 equiv.) was dissolved in ethanol (100 mL), except for Cu2(iPrCOO)4 where ultra-pure water was used as solvent. Then the copper precursor (1.05 equiv.) was added under continuous stirring. The mixture was refluxed at 100 °C for 12 h, yielding a blue solution. After filtration to remove excess copper precursor, the filtrate was refined by rotary evaporation and dried under vacuum. The crude products were recrystallized from different solvent systems: methanol/ethyl, acetate/H2O for Cu2(EtCOO)4 and Cu2(MeCOO)4, and 1,4-dioxane/n-hexane for Cu2(iPrCOO)4, affording blue-green crystals. For Cu2(iPrCOO)4, yield: 36%; elemental analysis calculated (%) for C20H36Cu2O10: C 42.62, H 6.45, O 28.39; found (%): C 42.59, H 6.27, O 28.28. For Cu2(EtCOO)4, yield: 40%; elemental analysis calculated (%) for C12H24Cu2O10: C 31.65, H 5.32, O 35.13; found (%): C 31.57, H 5.14, O 34.95. For Cu2(MeCOO)4, yield: 39%; elemental analysis calculated (%) for C8H16Cu2O10: C 24.06, H 4.05, O 40.07; found (%): C 24.09, H 3.99, O 40.32.

Single-crystal X-ray crystallography

SCXRD data were collected on a Bruker D8 VENTURE diffractometer using graphite-monochromated Mo-Kα radiation (λ = 0.71073 Å) for the structural determination of Cu2(LCOO)4. Detailed crystallographic data and structure refinement parameters are summarized in Supplementary Table 1. The crystal structures were solved using the SHELXT program and refined by full-matrix least-squares methods on F2 values using SHELXL-2014, as implemented in the Olex2 software package. All non-hydrogen atoms were refined with anisotropic parameters, and hydrogen atoms were integrated into the calculated positions and refined with a fixed geometry based on their carrier atoms. Crystallographic data for the structures reported in this paper have been deposited with the Cambridge Crystallographic Data Centre (CCDC 2444725 ~ 2444728). Additional crystallographic details are provided in Supplementary Table 2 and Supplementary Table 4.

Preparation of the cathode

10 mg of catalyst and 10 µL of Nafion solution (5 wt%) were ultrasonically dispersed in acetone to prepare the catalyst ink (10 mg mL−1). This ink was air-sprayed onto gas diffusion electrodes (GDEs) with cathodic areas of 2 × 0.5 cm2 (flow cell), 1 × 1 cm2 (MEA), followed by infrared drying for 10 min to achieve a Cu loading of 0.48 mg cm−2. For the scalability test (cathodic area: 5 × 5 cm2), the Cu loading was maintained at this level by proportionally scaling up the ink volume.

Synthesis of IrO2/Ti felt anode

IrO2-supported Ti felt (IrO2/Ti felt) as an anode was fabricated on a Ti felt substrate via a dip-coating method followed by the thermal decomposition process70. The Ti felt was first cleaned with an acetone/water mixture and then etched in 6 M HCl for 30 min. Later, the etched Ti felt was immersed in an isopropanol/HCl (6 M) solution (9:1 v/v) containing IrCl3·3H2O (30 mg). Afterwards, the Ti felt was calcined at 500 °C for 10 min. These procedures were repeated until achieving an IrO2 loading of 2 mg cm−2.

Electrochemical measurements

All electrochemical measurements were conducted under ambient conditions (25 °C) using a CHI 1140D electrochemical workstation. For 1,3-butadiene electrosynthesis in a three-electrode flow cell (cathodic area: 2 × 0.5 cm2), the catalyst-sprayed GDE, Hg/HgO, and IrO2/Ti felt were employed as the working, reference, and counter electrodes, respectively. The cathode and anode compartments were separated by an anion exchange membrane (Fumasep FAB-PK-130). Both catholyte (0.5 M K2SO4, pH = 6.7 ± 0.2) and anolyte (1 M KOH, pH = 13.6 ± 0.1) were circulated at a steady rate of 10 mL min−1. Pure acetylene feed was continuously supplied to the gaseous chamber at 30 sccm. Polarization curves were recorded at a scan rate of 20 mV s−1 without iR compensation. All applied potentials were converted to the RHE scale according to the following equation: E (vs. RHE) = E (vs. Hg/HgO) + 0.099 V + 0.059 V × pH71. For the quantification of gaseous products, chronoamperometric measurements were conducted for 15 min at each applied potential to ensure steady-state conditions. To assess the structural stability of the catalyst, continuous electrolysis was performed at representative potentials for 60 min prior to post-reaction characterizations. Operando electrochemical impedance spectroscopy of catalysts was performed in 0.5 M K2SO4 catholyte at different potentials under acetylene and argon feed with the frequency ranging from 0.1 Hz to 10,000 Hz.

Electrocatalytic acetylene hydrodimerization was performed in two types of MEA electrolyzers with cathodic areas of 1 × 1 cm2 and 5 × 5 cm2. Both electrolyzers were identical in design and assembly, differing only in their electrode dimensions. The catalyst-sprayed GDE and IrO2/Ti felt served as the cathode and anode, respectively. The cathode and anode chambers were separated by an anion exchange membrane (SciMater AEM2093), with the anodic channel circulating 1 M KOH at a rate of 10 mL min−1 and the cathodic channel feeding humidified acetylene (100% or 15% balanced with Ar). The gas flow rate was maintained at 60 sccm using mass flow controllers unless otherwise specified. Chronopotentiometric measurements were carried out at various currents to assess the gaseous products and stability of catalysts. The potentials presented herein were Ecell. For the long-term stability test, the anolyte was periodically replaced to maintain constant ionic concentration and conductivity.

Products analysis

The quantitative analysis of gaseous products was carried out using an online gas chromatography (GC-9790plus, Fuli) equipped with flame ionization (FID) and thermal conductivity (TCD) detectors. For both the three-electrode (−0.55 to −0.85 V vs. RHE) and MEA (−20 to −600 mA) measurements, the FE of gaseous products was calculated according to the following equation:

FE (%)=ci×zi×ν×Fitotal×Vm×100

where ci and zi represent the concentration (ppm) and the number of electrons transferred for the i-th product (i = C4H6, C2H4, and H2), respectively, ν denotes the gas flow rate (mL min−1), F is the Faradaic constant (96485 C mol−1), itotal is the total current of the electrocatalytic reaction (A), and Vm is the gas molar volume.

The formation rate of C4H6 (FRC4H6) was calculated based on the following equation12:

FRC4H6(mmol−1h−1cm−2)=Q×FEC4H6z×F×t×A

where Q and FEC4H6 represent the total charge passed during electrolysis and the Faradaic efficiency of C4H6, respectively, z denotes the number of electrons transferred for C4H6 formation, F is the Faradaic constant (96485 C mol−1), t represents the electrolysis duration (h), and A is the geometric area of the cathode (cm2).

Theoretical calculation

Density functional theory (DFT) calculations were implemented using the Vienna ab initio simulation package (VASP) according to the projector augmented wave (PAW) methods72. The wave function of valence electrons was expanded based on the plane-wave basis set with a kinetic-energy cutoff of 400 eV. Exchange-correlation interactions were treated using the Perdew-Burke-Ernzerhof (PBE) form of the generalized gradient approximation (GGA)73–75. Grimme’s zero damping D3 method was employed to account for the van der Waals interactions76. Hellmann-Feynman forces were computed within the total energy of 10−4 eV and the force convergence criterion of 0.05 eV Å−1 to conduct structural relaxations. Herein, computational models of Cu2(LCOO)4 complexes were built to represent the catalysts (Supplementary Data 1), while preserving the relative orientation and spatial arrangement found in the corresponding crystal structures. A 20 Å vacuum layer was established along three orthogonal directions, and Brillouin-zone sampling was performed with single gamma point. The computational hydrogen electrode model proposed by Nørskov et al. was adopted for the Gibbs free energy change (ΔG) calculation of each elementary step during the acetylene hydrodimerization process77. The ΔG value was computed using the equation of ΔG = ΔE + ΔZPE − TΔS + eU, where ΔE is the DFT-computed reaction energy of adsorbed reactant and product species on the catalyst; ΔZPE and ΔS refer to the variations in the zero-point energy and entropy between the adsorbed species and the gas-phase molecules at 298.15 K, calculated from vibrational frequencies; e is the electron transfer number and U denotes the applied potential, which was set to 0 for simplicity. To elucidate the influence of diverse substituents within Cu2(LCOO)4 on acetylene adsorption and mass transfer, molecular dynamics (MD) simulations were executed employing GROMACS v2022.0578. The computational cell, with dimensions of 6 × 6 × 8 nm3, was populated by 1000 acetylene molecules in conjunction with the Cu2(LCOO)4 models (Supplementary Data 1) via the PACKMOL program79. Canonical ensemble (NVT) simulations were carried out at 298.15 K using a V-rescale thermostat.

Characterizations

SEM and elemental mapping images were characterized by a field-emission FEI-Verios G4 microscope integrated with an EDS spectrometer at 10 kV. MS analysis was performed using a Thermo Fisher Scientific Trace 1300-ISQ 7000 system coupled with a TG-5SILMS capillary column. FT-IR spectra were acquired utilizing the ATR mode of a Bruker Tensor II spectrometer. UV-Vis spectroscopy was performed using a Unico UV-4802 spectrophotometer. The PXRD patterns were recorded on a Bruker D8 Advance X-ray diffractometer equipped with Cu-Kα source (λ = 1.5405 Å) at an operating current and voltage of 40 mA and 40 kV. XPS data were obtained using a Kratos AXIS Ultra DLD apparatus with Al Kα X-ray source. Quasi-in situ XPS spectra were obtained using a custom-made inert atmosphere transfer vessel to transfer electrodes into the XPS system without air exposure. All spectra were referenced to the adventitious carbon C 1 s peak at 284.8 eV for binding energy calibration. Elemental analysis was conducted using an EMA 502 Elemental Micro Analyzer (VELP Scientifica). 1H NMR spectra of catholyte collected after electrocatalytic acetylene hydrodimerization were performed on a Bruker Avance NEO 500 MHz spectrometer. Cu L-edge XAS measurements were carried out at the XMCD beamline of the National Synchrotron Radiation Laboratory in Hefei.

Operando Cu K-edge XAS spectra were recorded in transmission mode at the Shanghai Light Source utilizing a custom-built electrochemical cell. The cell comprised a catalyst-sprayed GDE, graphite rod, and Ag/AgCl as working, counter, and reference electrodes, operating with 0.5 M K2SO4 electrolyte under continuous acetylene purging. All XAS data were processed through normalization and energy calibration against Cu foil at 8979 eV using the Athena program. The k3-weighted χ(k) data in k-space were Fourier transformed to R-space without phase correction and fitted within the k = 2 ~ 11 Å−1 and R = 1 ~ 3 Å ranges using crystal structures of the catalysts in Artemis software.

In situ Raman spectroscopy was conducted on a LabRAM HR800 confocal Raman spectrophotometer (532 nm excitation) using a flow cell setup with the quartz optical window. The cathodic and anodic chambers were supplied with 0.5 M K2SO4 and 1 M KOH solutions, respectively, both maintained at a flow rate of 10 mL min−1 by peristaltic pumps. The acetylene gas flow was regulated at 30 sccm using a mass flow controller.

In situ ATR-SEIRAS was performed using a Bruker INVENIO R Fourier transform infrared spectrometer equipped with a three-electrode cell. A platinum wire served as the counter electrode, while a saturated Ag/AgCl electrode was employed as the reference electrode. The working electrode was fabricated by air-spraying a catalyst ink onto the GDE. A saturated solution of acetylene in 0.5 M K2SO4 was used as the electrolyte.

Online DEMS (Pfeiffer PrismaPro) was employed to monitor volatile intermediates and products in real time during electrocatalytic acetylene hydrodimerization, using a three-electrode cell comprising the catalyst-sprayed GDE (working electrode), a platinum wire (counter electrode), and an Ag/AgCl electrode (reference electrode). During the measurements, 0.5 M K2SO4 electrolyte was bubbled with acetylene, and the gaseous products diffused through the hydrophobic polytetrafluoroethylene (PTFE) membrane (pore diameter ≤ 20 nm, Linglu) into the vacuum chamber for analysis.

Supplementary information

Supplementary Data 1 (192.6KB, zip)

Source data

Source Data (25.2MB, xlsx)

Acknowledgements

The authors thank the Analytical & Testing Center of Northwestern Polytechnical University for sample characterizations, with special acknowledgment to associate researcher Liting Liu for XPS analyses. The authors also thank the staff members of the XMCD beamline (https://cstr.cn/31131.02.HLS.XMCD.a and https://cstr.cn/31131.02.HLS.XMCD.b) at the National Synchrotron Radiation Laboratory in Hefei (https://cstr.cn/31131.02.HLS), for providing the technical support and assistance in data collection and analysis. This work was financially supported by the National Natural Science Foundation of China (22475170 and 52101271 to L.Z., and 22101229 to B.L.Z.), and the Key Research and Development Program of Shaanxi Province (2024GX-YBXM-379 to L.Z.), and the Guangdong Basic and Applied Basic Research Foundation (2024A1515011977 to L.Z.).

Author contributions

W.Z.X. and P.F.G. contributed equally to this work. W.Z.X. carried out the experiments and wrote the manuscript. P.F.G. conducted computational simulations. J.F.W., R.D., M.T.L., and L.F.T. assisted with material characterization and analyzed the experimental results. M.R.L. and N.F. assisted with the theoretical calculations. L.Z. and B.L.Z. conceived the project and revised the manuscript. Z.J.L. contributed to in situ electrochemical measurements. All authors reviewed and commented on this article.

Peer review

Peer review information

Nature Communications thanks Antonio Leyva-Perez and the other anonymous reviewer(s) for their contribution to the peer review of this work. A peer review file is available.

Data availability

The authors declare that the data supporting the findings of this study are available within the paper and its supplementary information files. Source data are provided with this paper.

Competing interests

The authors declare no competing interests.

Footnotes

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

These authors contributed equally: Wenzhe Xu, Pengfei Gao.

Contributor Information

Baoliang Zhang, Email: blzhang@nwpu.edu.cn.

Zongjing Lu, Email: zongjinglu@usst.edu.cn.

Lei Zhang, Email: leizhang@nwpu.edu.cn.

Supplementary information

The online version contains supplementary material available at 10.1038/s41467-026-72739-4.

References

  • 1.Yang, J., Wang, P., Neumann, H., Jackstell, R. & Beller, M. Industrially applied and relevant transformations of 1,3-butadiene using homogeneous catalysts. Ind. Chem. Mater.1, 155–174 (2023). [Google Scholar]
  • 2.White, W. Butadiene production process overview. Chem. Biol. Interact.166, 10–14 (2007). [DOI] [PubMed] [Google Scholar]
  • 3.Bender, M. An overview of industrial processes for the production of olefins-C4 hydrocarbons. ChemBioEng Rev.1, 136–147 (2014). [Google Scholar]
  • 4.Trotus, I., Zimmermann, T. & Schuth, F. Catalytic reactions of acetylene: A feedstock for the chemical industry revisited. Chem. Rev.114, 1761–1782 (2014). [DOI] [PubMed] [Google Scholar]
  • 5.Chen, F. et al. Ethylene electrosynthesis from low-concentrated acetylene via concave-surface enriched reactant and improved mass transfer. Nat. Commun.15, 5914 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 6.Bu, J. et al. Selective electrocatalytic semihydrogenation of acetylene impurities for the production of polymer-grade ethylene. Nat. Catal.4, 557–564 (2021). [Google Scholar]
  • 7.Shi, R. et al. Room-temperature electrochemical acetylene reduction to ethylene with high conversion and selectivity. Nat. Catal.4, 565–574 (2021). [Google Scholar]
  • 8.Xue, W. et al. Electrosynthesis of polymer-grade ethylene via acetylene semihydrogenation over undercoordinated Cu nanodots. Nat. Commun.14, 2137 (2023). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 9.Wang, S. et al. Highly efficient ethylene production via electrocatalytic hydrogenation of acetylene under mild conditions. Nat. Commun.12, 7072 (2021). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 10.Zhao, B. et al. Economically viable electrocatalytic ethylene production with high yield and selectivity. Nat. Sustain.6, 827–837 (2023). [Google Scholar]
  • 11.Wang, Z. et al. Titania-supported Cu-single-atom catalyst for electrochemical reduction of acetylene to ethylene at low-concentrations with suppressed hydrogen evolution. Adv. Mater.35, e2303818 (2023). [DOI] [PubMed] [Google Scholar]
  • 12.Bai, L. et al. Efficient industrial-current-density acetylene to polymer-grade ethylene via hydrogen-localization transfer over fluorine-modified copper. Nat. Commun.14, 8384 (2023). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 13.Gao, X. et al. Highly efficient and selective electrocatalytic semihydrogenation of acetylene to ethylene via continuous proton feeding and accelerated transfer on Cu NP/FeNC composite. Adv. Funct. Mater.35, 2415384 (2024). [Google Scholar]
  • 14.Wu, Z. et al. Near 100% conversion of acetylene to high-purity ethylene at ampere-level current. Adv. Mater.36, e2408681 (2024). [DOI] [PubMed] [Google Scholar]
  • 15.Wu, Z. et al. Defect-rich copper electrocatalyst with enhanced acetylene adsorption for highly-selective ethylene production at industrial current densities. CCS Chem.7, 2844–2853 (2024). [Google Scholar]
  • 16.Zhang, L. et al. Deprotonated 2-thiolimidazole serves as a metal-free electrocatalyst for selective acetylene hydrogenation. Nat. Chem.16, 893–900 (2024). [DOI] [PubMed] [Google Scholar]
  • 17.Bai, R. et al. Strong electron-withdrawing effect activates metal-free carboxylate anion into efficient active sites for electrocatalytic acetylene semihydrogenation. J. Am. Chem. Soc.147, 6880–6885 (2025). [DOI] [PubMed] [Google Scholar]
  • 18.Teh, W. et al. Selective electroreduction of acetylene to 1,3-butadiene on iodide-induced Cuδ+-Cu0 sites. Nat. Catal.7, 1382–1393 (2024). [Google Scholar]
  • 19.Şahin, Y., Pekmez, K. & Yıldız, A. Electrochemical polymerization of acetylene with copper catalyst on platinum and copper electrodes. Synth. Met.129, 117–121 (2002). [Google Scholar]
  • 20.Bai, R. et al. Weak acetylene adsorption terminated carbon-carbon coupling kinetics on silver electrocatalysts. CCS Chem.5, 200–208 (2023). [Google Scholar]
  • 21.Liu, G. et al. Electrochemical polymerization of acetylene on Rh electrodes probed by surface-enhanced Raman spectroscopy. J. Electroanal. Chem.594, 73–79 (2006). [Google Scholar]
  • 22.Jiang, X. et al. Cu single-atom catalysts for high-selectivity electrocatalytic acetylene semihydrogenation. Angew. Chem. Int. Ed.62, e202307848 (2023). [DOI] [PubMed] [Google Scholar]
  • 23.Wang, A., Li, J. & Zhang, T. Heterogeneous single-atom catalysis. Nat. Rev. Chem.2, 65–81 (2018). [Google Scholar]
  • 24.Qiu, X. F., Zhu, H. L., Huang, J. R., Liao, P. Q. & Chen, X. M. Highly selective CO2 electroreduction to C2H4 using a metal-organic framework with dual active sites. J. Am. Chem. Soc.143, 7242–7246 (2021). [DOI] [PubMed] [Google Scholar]
  • 25.Zhang, K. et al. Designing molecular reactor of interlayer dual-atom toward urea electrosynthesis. Angew. Chem. Int. Ed.64, e202513341 (2025). [DOI] [PubMed] [Google Scholar]
  • 26.Chen, X. et al. Multivalent Cu sites synergistically adjust carbonaceous intermediates adsorption for electrocatalytic ethanol production. Nat. Commun.15, 7691 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 27.Heng, J. M., Zhu, H. L., Zhao, Z. H., Liao, P. Q. & Chen, X. M. Fabrication of ultrahigh-loading dual copper sites in nitrogen-doped porous carbons boosting electroreduction of CO2 to C2H4 under neutral conditions. Adv. Mater.37, e2415101 (2025). [DOI] [PubMed] [Google Scholar]
  • 28.Wang, Y. R. et al. Implanting numerous hydrogen-bonding networks in a Cu-porphyrin-based nanosheet to boost CH4 selectivity in neutral-media CO2 electroreduction. Angew. Chem. Int. Ed.60, 21952–21958 (2021). [DOI] [PubMed] [Google Scholar]
  • 29.Li, H. et al. Ligand engineering towards electrocatalytic urea synthesis on a molecular catalyst. Nat. Commun.15, 8858–8867 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 30.Yang, Y. et al. Ligand-tuning copper in coordination polymers for efficient electrochemical C-C coupling. Nat. Commun.15, 6316 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 31.Waseem, S. et al. A new paddle wheel type Cu(II) complex with photoluminescence and photocatalytic properties. Inorg. Chem. Commun.162, 112176 (2024). [Google Scholar]
  • 32.Mathey, Y., Greig, D. & Shriver, D. Variable-temperature Raman and infrared spectra of the copper acetate dimer Cu2(O2CCH3)4(H2O)2 and its derivatives. Inorg. Chem.21, 3409–3413 (1982). [Google Scholar]
  • 33.Cheda, J., García, M., Redondo, M., Gargani, S. & Ferloni, P. Short chain copper(II) n-alkanoate liquid crystals. Liq. Cryst.31, 1–14 (2004). [Google Scholar]
  • 34.Baranauskas, A., Jasaitis, D. & Kareiva, A. Characterization of sol-gel process in the Y-Ba-Cu-O acetate-tartrate system using IR spectroscopy. Vib. Spectrosc.28, 263–275 (2002). [Google Scholar]
  • 35.Ali, B. et al. Cytotoxicity and antimicrobial activity of pivalic and benzoic acid-complexed Cu and Mn complexes. Pol. J. Environ. Stud.26, 2861–2867 (2017). [Google Scholar]
  • 36.Trinchero, A., Bonora, S., Tinti, A. & Fini, G. Spectroscopic behavior of copper complexes of nonsteroidal anti-inflammatory drugs. Biopolymers74, 120–124 (2004). [DOI] [PubMed] [Google Scholar]
  • 37.Chen, S. et al. Copper atom pairs stabilize *OCCO dipole toward highly selective CO2 electroreduction to C2H4. Angew. Chem. Int. Ed.63, e202411591 (2024). [DOI] [PubMed] [Google Scholar]
  • 38.Pérez, O., Odio, O. & Reguera, E. XPS as a probe for the bonding nature in metal acetates. N. J. Chem.46, 11255–11265 (2022). [Google Scholar]
  • 39.Jiang, X. et al. Stabilization of Cuσ+ via strong Cu-O-Si interface for efficient electrocatalytic acetylene semi-hydrogenation. AIChE J.71, e18663 (2024). [Google Scholar]
  • 40.Zhu, J. et al. Elucidation of the structure-activity relationship for Cu-erionite in the direct conversion of methane to methanol: An operando XAS study. J. Am. Chem. Soc.147, 28723–28734 (2025). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 41.Zhou, Q., Guo, Y. & Zhu, Y. Reticular copper dual sites embedded with semiconductor particles for selective CO2-to-C2H4 photoreduction. Nat. Catal.8, 728–739 (2025). [Google Scholar]
  • 42.Guan, X. et al. Designing reactive bridging O2− at the atomic Cu-O-Fe site for selective NH3 oxidation. ACS Catal.12, 15207–15217 (2022). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 43.Bu, J. et al. Selective electrocatalytic hydrodimerization of acetylene to 1,3-butadiene over neighboring Cu dual sites. Angew. Chem. Int. Ed.64, e202505843 (2025). [DOI] [PubMed] [Google Scholar]
  • 44.Cheng, C. et al. Selective electrosynthesis of 1,3-butadiene by tailoring the coverage of acetylene and water. Nat. Commun.16, 5685 (2025). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 45.Wang, Q. et al. Photoinduced metastable asymmetric Cu single atoms for photoreduction of CO2 to ethylene. Adv. Energy Mater.13, 2302692 (2023). [Google Scholar]
  • 46.Zhang, D. et al. Cathode design based on nitrogen redox and linear coordination of Cu center for all-solid-state fluoride-ion batteries. J. Am. Chem. Soc.147, 5649–5657 (2025). [DOI] [PubMed] [Google Scholar]
  • 47.Xu, L., Liu, W. & Liu, K. Single atom environmental catalysis: Influence of supports and coordination environments. Adv. Funct. Mater.33, 2304468 (2023). [Google Scholar]
  • 48.Li, Q. et al. Modulation of the second-beyond coordination structure in single-atom electrocatalysts for confirmed promotion of ammonia synthesis. J. Am. Chem. Soc.147, 1884–1892 (2025). [DOI] [PubMed] [Google Scholar]
  • 49.Ren, S. et al. Selective CO2 electroreduction to multi-carbon products on organic-functionalized CuO nanoparticles by local micro-environment modulation. Nano-Micro Lett.16, 262 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 50.Chen, Q. et al. Electrocatalytic CO2 reduction to C2+ products in flow cells. Adv. Mater.36, e2303902 (2024). [DOI] [PubMed] [Google Scholar]
  • 51.Chen, S., Farzinpour, F. & Kornienko, N. Dynamic active sites behind Cu-based electrocatalysts: original or restructuring-induced catalytic activity. Chem. 11, 102575 (2025). [Google Scholar]
  • 52.Yoon, B., Chen, S. & Voth, G. A. On the key influence of amino acid ionic liquid anions on CO2 capture. J. Am. Chem. Soc.146, 1612–1618 (2024). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 53.Yasmeen, R., Islam, S. M. S., Du, J. & Omary, M. A. Molecular simulations and experimental studies of CO2, CH4, and N2 adsorption in the UNT-14 metal-organic framework. Inorg. Chem.64, 15050–15063 (2025). [DOI] [PubMed] [Google Scholar]
  • 54.Liu, W., Lian, J. S. & Jiang, Q. Theoretical study of C2H2 adsorbed on low-index Cu surfaces. J. Phys. Chem. C.111, 18189–18194 (2007). [Google Scholar]
  • 55.Yang, J. et al. Switching reaction pathways of CO2 electroreduction by modulating cations in the electrochemical double layer. Angew. Chem. Int. Ed.63, e202410145 (2024). [DOI] [PubMed] [Google Scholar]
  • 56.Xie, C. et al. In-situ phase transition of WO3 boosting electron and hydrogen transfer for enhancing hydrogen evolution on Pt. Nano Energy71, 104653 (2020). [Google Scholar]
  • 57.Song, J. et al. Magnetic field-enhanced acidic CO2 electroreduction reaction on single nickel-site catalysts. J. Am. Chem. Soc.147, 16198–16206 (2025). [DOI] [PubMed] [Google Scholar]
  • 58.Tan, Z. et al. Polymeric ionic liquid promotes acidic electrocatalytic CO2 conversion to multicarbon products with Ampere level current on Cu. Nat. Commun.16, 1843 (2025). [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 59.Sheppard, N. The assignment of the vibrational spectra of the C4 hydrocarbons butyne-1, butene-1, and vinyl acetylene, to the normal modes of vibration of these molecules. J. Chem. Phys.17, 74–78 (1949). [Google Scholar]
  • 60.Hossain, M. R., Arshadi, A., Xu, Y. & Trenary, M. Structure of chemisorbed 1,3-butadiene on the Cu(111) surface. Phys. Chem. Chem. Phys.27, 14906–14913 (2025). [DOI] [PubMed] [Google Scholar]
  • 61.Basu, P. & Yates, J. T. Structural rearrangements in chemisorbed hydrocarbon layers 1, 3-butadiene on rhodium alumina. J. Phys. Chem.93, 2028–2034 (1989). [Google Scholar]
  • 62.Osaka, N., Akita, M. & Itoh, K. Infrared reflection-absorption spectroscopic study on the adsorption structures of 1,3-butadiene at Au(111) and Ag(111) surfaces. J. Phys. Chem. B102, 6817–6824 (1998). [Google Scholar]
  • 63.Lapinski, M. P. & Ekerdt, J. G. Infrared identification of adsorbed surface species on nickel/silica and nickel/alumina from ethylene and acetylene adsorption. J. Phys. Chem.94, 4599–4610 (2002). [Google Scholar]
  • 64.Heaviside, J., Hendra, P., Tsai, P. & Cooney, R. Adsorption and polymerization of acetylene on oxide surfaces. A Raman study. J. Chem. Soc., Faraday Trans. 174, 2542–2549 (1978). [Google Scholar]
  • 65.Parker, W., Siedle, A. & Hexter, R. Raman spectroscopic study of acetylene on supported rhodium catalysts. J. Am. Chem. Soc.107, 264–266 (1985). [Google Scholar]
  • 66.Richards, C. & Nielsen, J. Raman spectrum of 1,3-butadiene in the gaseous and liquid states. J. Opt. Soc. Am.40, 438–441 (1950). [Google Scholar]
  • 67.Craig, N. et al. Analysis of the rotational structure in bands in the high-resolution infrared spectra of butadiene and butadiene-2,3-d2: Refinement in assignments of fundamentals. J. Mol. Struct.695-696, 59–69 (2004). [Google Scholar]
  • 68.Wiberg, K. & Rosenberg, R. Butadiene. 1. A normal coordinate analysis and infrared intensities. structure of the second rotamer. J. Am. Chem. Soc.112, 1509–1519 (1990). [Google Scholar]
  • 69.Bursten, B. E. et al. Oxalate-bridged complexes of dimolybdenum and ditungsten supported by pivalate ligands: (tBuCO2)3M2(-O2CCO2)M2(O2CtBu)3. Correlation of the solid-state, molecular, and electronic structures with Raman, resonance Raman, and electronic spectral data. J. Am. Chem. Soc.124, 3050–3063 (2002). [DOI] [PubMed] [Google Scholar]
  • 70.Gabardo, C. M. et al. Continuous carbon dioxide electroreduction to concentrated multi-carbon products using a membrane electrode assembly. Joule3, 2777−2791 (2019).
  • 71.Zhang, L. et al. Efficient electrocatalytic acetylene semihydrogenation by electron-rich metal sites in N-heterocyclic carbene metal complexes. Nat. Commun. 12, 6574 (2021). [DOI] [PMC free article] [PubMed]
  • 72.Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initiototal-energy calculations using a plane-wave basis set. Phys. Rev. B54, 11169−11186 (1996). [DOI] [PubMed]
  • 73.Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett.77, 3865−3868 (1996). [DOI] [PubMed]
  • 74.Zhang, Y. & Yang, W. Comment on “Generalized gradient approximation made simple”. Phys. Rev. Lett.80, 890−890 (1998).
  • 75.Perdew, J. P., Burke, K. & Ernzerhof, M. Perdew, burke, and ernzerhof reply. Phys. Rev. Lett.80, 891−891 (1998).
  • 76.Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys.132, 154104 (2010). [DOI] [PubMed]
  • 77.Nørskov, J. K. et al. Origin of the overpotential for oxygen reduction at a fuel-cell cathode. J. Phys. Chem. B108, 17886−17892 (2004). [DOI] [PubMed]
  • 78.Abraham, M. J. et al. GROMACS: High performance molecular simulations through multi-level parallelism from laptops to supercomputers. SoftwareX1−2, 19−25 (2015). [Google Scholar]
  • 79.Martínez, L., Andrade, R., Birgin, E. G. & Martínez, J. M. PACKMOL: A package for building initial configurations for molecular dynamics simulations. J. Comput. Chem.30, 2157−2164 (2009). [DOI] [PubMed]

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