1. Introduction
Advanced energy conversion and storage systems have received considerable attention due to their significant roles in the field of clean energy [1,2,3]. Among various clean energy technologies, fuel-cells are considered as promising candidates due to their high energy density and eco-friendliness [4,5]. However, slow kinetics of oxygen reduction reaction (ORR) limits the discharge power density of the device, and it is extremely challenging to overcome this obstacle [6,7]. Till now, noble metal-based materials are selected as the commercial electrocatalysts, dominating a large percentage of the fuel-cell market price, which demands the development of cost-effective and high performance non-precious metal catalysts.
Single atom catalyst (SAC) has been proposed to achieve 100% atomic utilization for precious metal [8], and recent studies have mentioned the upsurge of the atomically dispersed transition metal nitrogen doped carbon materials (known as M-N-C, wherein M stands for transition metals), derivatives from the biological systems which have shown great promise in the field of ORR catalysis [9,10,11,12,13,14,15,16,17,18,19,20]. In particular, well-dispersed Fe-N-C is enabled with competitive catalytic activity as commercial Pt-based catalysts [21,22,23,24,25]. However, Fe-N-C catalyst lacks long-term stability in acid medium, which tends to be involved in various side-reactions, hindering its industrial application in fuel cells.
Dual atom catalysts (DACs), an extension of SACs, are receiving increasing attention due to additional benefits rooted from electronic structure modulation [26,27,28,29,30,31,32,33,34]. For example, Fe/Co-N-C [26] was first synthesized by an Li group, which exhibited improved catalytic performance compared with its SAC counterparts. Following closely, it was used as a prototype to achieve bifunctional catalysis for both ORR and oxygen evolution energy (OER) [27]. Recently, Fe/Mn-N-C [28] was further demonstrated with excellent ORR performance in both alkaline and acidic media, and the key factors are ascribed to the spin related electronic structure adjustment. A unique half metallic quantum state was reasonably designed as in Fe/Zn-N-C [29] catalyst, which outperformed in both catalytic activity and long-life stability, providing new insights for the development of high-performance electrocatalysts. However, the reaction mechanism is not well rationalized in Fe based DACs due to limited pairs available from experiments, not to mention the structure evolution during working conditions.
In this study, based on systematic density functional theory (DFT) calculations, 13 Fe/M pairs of two distinct configurations are investigated as Fe/M-N-C OERR catalysts, with M covering from 4 d to 6 d transition metals (Cr, Mn, Co, Ni, Cu, Zn, Mo, Ru, Rh, W, Re, Os, and Ir). In addition to the Fe/Co, Fe/Mn, Fe/Ni, Fe/Zn and Fe/Cu which are available from experiments, four new candidates, including Fe/Ir (η = 0.26 V), Fe/Rh (η = 0.30 V), Fe/Ru (η = 0.42 V) and Fe/Os (η = 0.57 V) have been found with satisfied ORR activity, which are thermodynamically stable at 300 K from dynamic simulation. Attractively, the simulation of protonation process gives rise to high free energy demanded for surface hydrogenation, demonstrating improved structure stability in acid conditions.
2. Results and Discussion
Schematic models for FeMN6(I) and FeMN6(II) are shown in Figure 1. In FeMN6(I), two N atoms are shared by metal sites, forming four N coordinated metal centers, yet, in FeMN6(II), each metal is three coordinated with N atoms. In total, 13 metal elements are paired with Fe, yet the configurations of FeReN6(II) and FeWN6(II) are not capable in stabilizing *OOH (Table S1), which is thus beyond the following study for the 4e reaction pathway.
The optimized structures, along with the key reaction intermediates (*O2, *OOH, *O and *OH), are depicted in Table S1. For the first H++e step of ORR, the capture of O2 molecules is analyzed by the O2 adsorption energy, as observed in Figure 2 (Table S2). According to Sabatier’s law [35], the ORR catalyst requires moderate adsorption energy for O2, as strong adsorption will cause the catalyst surface inhabitant by O2, but weak binding will make it difficult to initiate the catalytic reaction. A favorable O2 adsorption energy is estimated to be between −0.6~−0.7 eV. [27] Active centers which meet this precondition include FeCoN6(I), FeNiN6(I), FeRhN6(I), FeOsN6(I), FeRuN6(I), and FeIrN6(I), with ∆Eads of −0.63 eV, −0.79 eV, −0.67 eV, −0.78 eV, −0.82 eV, and −0.78 eV, respectively. For a specific metal pair, FeMN6(II) configuration exhibits stronger O2 absorption ability as evidenced by larger adsorption energy. The calculated ΔEads values for FeMN6(II) are between −1.5 eV and −4.0 eV, and thus FeMN6(II) is not conducive to a smooth ORR. Here, it is found that the O-O bond is elongated from 1.23 Å in gas-phase to XX in the absorbant as shown in Figure 2, demonstrating that the O2 is activated. In addition, the elongation of O-O bond is more pronounced in FeMN6(II) than that in FeMN6(I) because of the stronger O2 adsorption in the former. From the results of Bader Charge (Table S3), it is seen that after the *O2 binding on the metal sites, the oxidation states of Fe are enhanced. This is understandable because the O2 extracts electrons from metal sites.
It is aware that the adsorption sites of O2 and the adsorption configurations are different (Figure 3). For most FeMN6(I), the *O2 is absorbed on the metal with side-on configuration, where one O interacts with one metal site while the other O points away from the surface (although *O2 adopts end-on configuration in Cr case, other intermediates interact with Cr site, instead of both metals). The following reaction steps proceed with the terminal O atom. The key intermediates (*OH, *OOH, *O) tend to bind to the M site, when M locates on the left of Fe in the period table (M = Cr, Mn, Mo, Ru, W. Re, Os); otherwise, Fe is preferred. By contrast, the two oxygen atoms in the O2 molecular can interact with both Fe and M atoms in FeMN6(II) (except FeMo couple), so do the *O and *OH species, which well explains the stronger interaction between adsorbates and catalysts.
ORR catalytic activity was assessed by the free energy changes of the key oxygen-containing intermediates, i.e., *OOH, *O and *OH, (Table S4 and Figure S1). The standard equilibrium potential for reaction steps R1–R4 are calculated from the free energy value, as shown in Figure 4 for FeMN6(I) and Figure S2 for FeMN6(II). The ideal reaction free energy value for the elementary step is 1.23. Since each intermediate plays dual roles, namely, the product of the former elementary reaction and the reactant of the following elementary reaction, the variation from the ideal value should be small. In other words, the closer to the standard equilibrium potential value, the better the catalytic activity. It is witnessed that, for FeMN6(I) with FeCo, FeMn, FeCu, FeZn, FeRu, FeRh, FeOs and FeIr pairs, the ΔG values are close to each other, suggesting good activity. Unfortunately, a huge difference in standard equilibrium potential for the elementary steps can be found for all considered FeMN6(II) configurations (Figure S2), excluding potential candidates with satisfied performance.
A close inspection of Figure 4 finds out that the lowest ΔG values are in general for the *OH→H2O step, which corresponds to the desorption of the *OH intermediates. This suggests that the formation of the second H2O is the potential determining step (PDS). Therefore, a volcano relationship between the ΔG*OH and the negative catalytic overpotential (−η) is plotted in Figure 5. It is seen that all FeMN6(II) configurations are located on the left side of the volcano, underlining strong adsorption of *OH, which hampers the further protonation of *OH. On the contrary, most FeMN6(I) configuration sites on the right side are relative to those of FeMN6(II), illustrating alleviate *OH binding. As a result, FeIrN6(I) (η = 0.26 V), FeRhN6(I) (η = 0.30 V), FeRuN6(I) (η = 0.42 V), FeCoN6(I) (η = 0.34 V) and FeZnN6(I) (η = 0.41 V) give smaller overpotential than that of commercial Pt/C (η = 0.45 V) and other Fe based dual site counterparts (Table S5). In addition, the overpotential of FeOsN6(I) (η = 0.57 V), FeCuN6(I) (η = 0.48 V) and FeMnN6(I) (η = 0.54 V) is also small, holding great promise for high activity reaction centers.
Among these reaction centers, the combinations of FeCo, FeMn, FeCu and FeZn are available from experiments, which exhibit excellent ORR performance, in accordance with our work. However, for FeRuN6(I), FeRhN6(I), FeIrN6(I) and FeOsN6(I), which are excluded from current experiments, AIMD simulation is performed to address their stabilities (Figure S3). It is seen that the total energy oscillates in a small range within 10 ps at 300 K, indicating solid stability kinetically. Moreover, the active center and carbon skeleton of the catalyst are remained as in the initial configuration (inset of Figure S3), another piece of evidence for the high stability.
Besides reaction activity, the structure stability under working condition is also an important criterion for a good catalyst. When operating in the cathode of a fuel cell, the catalyst is exposed under acid conditions, the attacking of H+ in the reaction center will cause the structure degradation and the change of the electronic structure. Therefore, the protonation is simulated for the screened FeRuN6(I), FeRhN6(I), FeIrN6(I) and FeOsN6(I) reaction centers with one and two protons adsorbed on the surface. It is revealed that the shared N sites are favorable for binding *H (Figure 6 and Table S6), yet the positive free energy change demonstrates that the protonation process is endothermic. Moreover, compared with the first *H binding, the energy demanded for another *H is higher, indicating good tolerance in acid environments.
Furthermore, since the structure of the reaction center is maintained after protonation and the interaction with one *H is flexible in the presence of O2, a free energy diagram of ORR is simulated and compared with those of bare catalysts (Figure 7 and Table S7). It is shown that a small negative influence appears for the FeRh and FeIr pairs, and the overpotential becomes 0.54 V and 0.52 V, respectively. Attractively, the overpotentials for FeRuN6(I) and FeOsN6(I) become even lower than the bare metal centers, namely 0.35 V and 0.38 V, respectively, suggesting appealing acid performance.
3. Methodology
All the spin-polarized calculations were carried out by using the Vienna ab-initio simulation package (VASP) [36,37]. The Perdue–Burke–Enzerhof (PBE) [38] function and the projection-enhanced wave (PAW) [39] were used to describe the exchange-correlation potential and ion-electron interactions, respectively. The kinetic energy cut-off was set as 500 eV. A 5 × 5 supercell of graphene was used as the substrate for the diatomic centers. To avoid inter-layer interactions, a vacuum as large as 20 Å is set above the graphene slab. The dispersion correction for Van der Waals (vdW) [40] interactions was performed by the DFT-D2 [41] method. For structural optimization, a Γ centered 3 × 3 × 1 Monkhorst-Pack k-point sampling was used in the first Brillouin zone, which was increased to 7 × 7 × 1 for the electronic properties’ calculations. The energy and force tolerance are 1 × 10−5 eV and 0.02 eV Å−1, respectively [42,43]. For the assessment of kinetic stability, ab initio molecular dynamics (AIMD) [44] simulations were used, and the simulation time lasts 10 ps at 300 K.
The adsorption energy (ΔEads) was calculated as follows:
ΔEads = Eadsorbate+support − (Eadsorbate + Esupport)
where Eadsorbate+support is the total energy of the catalyst with the adsorbed intermediates, and Eadsorbate and Esupport are the energy of the catalyst and the free adsorbate, respectively. The change of the Gibbs free energy (ΔG) was calculated via the computational hydrogen electrode (CHE) model [35]:ΔG = ΔEads + ΔEZPE − TΔS
where ΔEZPE and ΔS are the correction of zero-point energy and entropy, respectively. The free energy of O2 (4.92 eV) was extracted from the reaction O2 + 2H2 = 2H2O. The key elementary step for a 4e ORR pathway is as follows:(R1) *O2 + H+ + e → *OOH ΔG1 = ΔG*OOH − 4.92
(R2) *OOH + H+ + e → *O + H2O ΔG2 = ΔG*O − ΔG*OOH
(R3) *O + H+ + e → *OH ΔG3 = ΔG*OH − ΔG*O
(R4) *OH + H+ + e → H2O ΔG4 = −ΔG*OH
Among them, the * denotes that the ORR species is adsorbed on the catalyst surface. The thermodynamic overpotential η [27,45] is thus determined by
η = (1.23 − G/e) V wherein G = min {|ΔG1|, |ΔG2|, |ΔG3|, |ΔG4|}.
In conclusion, a set of Fe-based dual metal site reaction centers supported by carbon have been studied using DFT calculations. Besides FeCo, FeMn, FeCu and FeZn pairs, which are available from experiments, FeIr (η = 0.26 V), FeRh (η = 0.30 V), FeRu (η = 0.42 V) and FeOs (η = 0.57 V) pairs are predicted with desirable ORR activity, which outperform even in an acid environment. AIMD simulations demonstrated their good structural stability at room temperature, providing new research directions for further catalytic design.
Conceptualization, Y.W.; Formal analysis, Y.W., S.L., R.X. and Y.H.; Investigation, Y.W. and R.X.; Resources, Y.L. (Yingmei Li); Data curation, K.L.; Writing – original draft, Y.W.; Writing–review & editing, S.L., J.C. and Y.L. (Yingmei Li); Visualization, Y.L. (Yan Li); Supervision, Y.L. (Yingmei Li) and J.W.; Project administration, J.W.; Funding acquisition, J.W. All authors have read and agreed to the published version of the manuscript.
Not applicable.
The authors are grateful for the resource from high performance computing center of Yanshan University.
The authors declare no conflict of interest.
Footnotes
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Figure 1. The FeMN6 with two different N coordination configurations, and the selected M atoms are highlighted with yellow, orange, and blue color in the periodic table. Atomic labels in the insert chemical structures: C (brown), N (lavender), Fe (brown), and M (dark blue).
Figure 2. O2 adsorption energy (ΔE*O2) (yellow bar) and O−O bond length (purple spots and blue star). For each transition metal, the left yellow bar is for FeMN6 (I), and the right yellow bar is for FeMN6 (II).
Figure 3. Typical structures for the key oxygen containing intermediates for both FeMN6(I) (top) and FeMN6(II) (bottom), top view and side view.
Figure 4. Standard equilibrium potential for reaction steps R1−R4 for FeMN6(I) (M = Cr, Mn, Mo, Ru, W, Re, Os, Co, Ni, Cu, Re, Os, Co, Ni, Cu, Zn, Rh and Ir) moieties. The red dotted line is the ideal reaction free energy at 1.23 eV.
Figure 7. The free energy diagram of FeRuN6 (I), FeOsN6 (I), FeRhN6 (I), and FeIrN6 (I) with and without protonation.
Supplementary Materials
The following supporting information can be downloaded at:
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Abstract
Dual atom catalysts (DACs) not only retain uniform active sites and high atomic utilization efficiency as the single atom catalysts, but the two adjacent metal sites also cooperate and play a synergistic role to achieve additional benefits. However, the relationships connecting their dual-site synergistic effects on catalytic performance are not well rationalized due to limited pairs available from experiments. Herein, Fe/M dual sites supported by nitrogen doped carbon (Fe/M-N-C whereby M from 3 d–5 d electron containing transition metals) have been screened as an oxygen reduction reaction (ORR) catalyst. The results show that the absorption strength of ORR intermediates on four nitrogen coordinated metals is weaker than the three coordinated metals, which promotes favourable ORR activities. As a result, we recommended FeIr, FeRh, FeRu and FeOs as promising ORR catalysts. Ab initio molecular dynamic (AIMD) simulations suggest Fe/M-N-C (M = Ir, Rh, Ru and Os) catalysts with encouraging structural stability at room temperature. Furthermore, it is found that the nitrogen atoms in-between metals are vulnerable sites for proton attacking, yet the protonation process demands high energy, even under O2 atmosphere, which underlines good tolerance under acidic conditions. This work provides a broad understanding of Fe based catalyst and a new direction for catalytic design.
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Details
1 State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China
2 Hebei Key Laboratory of Heavy Metal Deep-Remediation in Water and Resource Reuse, School of Environmental and Chemistry Engineering, Yanshan University, Qinhuangdao 066004, China
3 State Key Laboratory of Metastable Materials Science and Technology, Yanshan University, Qinhuangdao 066004, China; Hebei Key Laboratory of Heavy Metal Deep-Remediation in Water and Resource Reuse, School of Environmental and Chemistry Engineering, Yanshan University, Qinhuangdao 066004, China