Highly Active Non-Precious-Metal Hydrogen-Evolution Electrocatalyst: Ultrafine Molybdenum Carbide Nanoparticles Embedding into 3D Nitrogen Implanted Carbon Matrix Preparation of N doped carbon: The 500 mg of activated ZIF-8 powder was heated to 700 oC at a heating rate of 5 oC/min and carbonized at 700 oC for 2 h under flowing Ar atmosphere, and cooled to room temperature naturally to obtain porous carbon materials. In order to remove unevaporated zinc component, the samples were treated in 0.5 M H2SO4 aqueous solution at 60 oC followed by a repeatedly filtered and washed process in deionized water. The synthesis of ZIF-8 nanocrystals was based on a previous procedure with some modifications.[S1] Typically, Zn(NO3)2·6H2O (1.68 g) was dissolved in 80 mL of methanol. A mixture of 2-methylimidazole (3.70 g) with 80 mL methanol was added to the above solution with vigorous stirring for 24 h. The product was separated by centrifugation and washed thoroughly with methanol for twice, and finally dried overnight at 50 oC. Electrochemically active surface area (EASA) evaluation: The electrochemically active surface area was estimated from the electrochemical double-layer capacitance of the hybrids. The electrochemical double-layer capacitance was determined from the CV curves measured in the potential range of 0−0.1 V (vs RHE) without redox processes according to the following equation: CdI = Ic/ν (1) where Cdl, Ic, and ν are the double-layer capacitance (F cm−2 ) of the electroactive materials, charging current (mA cm−2), and scan rate (mV s−1 ). In the present work, the capacitive currents (taken at the potential of 0.05 V vs RHE) as a function of scan rate for MoCN-2D and MoCN-3D have been investigated. TOF Calculation. The mass activity and turnover frequency (TOF) of the catalysts are calculated as following: 𝐦𝐚𝐬𝐬 𝐚𝐜𝐭𝐢𝐯𝐢𝐭𝐲 = 𝒋 𝒎 (𝟏) 𝐓𝐎𝐅 = 𝒋∙𝑺 𝟐𝑭 ∙ 𝒏 (𝟐) Here, j is the measured current density (mA cm-2), m is the catalyst loading (mg cm-2), S is the surface area of the GC electrode, the number 2 in the TOF calculation means 2 electrons required for one H 2 molecule evolution, F is Faraday’s constant (96485.3 C mol-1), and n is the moles of metal atom on the electrode. The calculation of free energies: For all the studied system, the free energies were evaluated by the formula ΔG(H*) =ΔE(H*)+ΔZPE − TΔS, where ΔE(H*), ΔZPE and ΔS are the binding energy, zero point energy change and entropy change of H* adsorption, respectively. In this work, the TΔS and ΔZPE are obtained by the following the scheme proposed by Norskov et al.[S2] Specifically, ΔS can be got by the equation ΔS = S(H*) − 1/2 S(H2) ≈ −1/2 S(H2), in view of the negligible vibrational entropy of the H*. Thus we can easily conclude that the corresponding TΔS is -0.205 eV, since TS(H2) is known to be 0.41 eV for H2 at 300 K and 1 atm. Additionally, the equation ΔZPE = ZPE(H*) – 1/2 ZPE(H2) was employed to estimate ΔZPE for H*. The ZPE(H2) was set to 0.27 eV according to previously report [S2]. Theoretical models We have constructed the correlative theoretical models to simulate the hybrid Mo2C@NC nanomaterial (Figure 4a), as well as the composited Mo2C@C, Mo2C, C and NC systems for comparative purpose. Specifically, the (001) facet with Mo-termination is adopted to act as the active surface for the βMo2C nanoparticle, which is modeled by the slab with four layers of Mo-C atoms. It is worth mention that this facet is flat and the most densely packed surface with unified active centers for β-Mo2C, which has been extensively employed in theoretical studies on the adsorption and reaction of small species on the surfaces. In addition, the ultrathin pure carbon layer is simulated by the single-layer graphene (C). We have sampled the N-doped carbon layer with the N/C atomic ratio of 1:8.6 obtained in experimental result, where the diversified possible distributions of N atoms were considered to obtain the more favorable configuration in energy. Further, the composited Mo2C@NC and Mo2C@C models were constructed by covering the respective NC and C layers on the (001) facet of the Mo2C slab. For a reasonable repeated period, 4 × 4 supercell for the subunit Mo2C is used in Mo2C@C and Mo2C@CN model. Reference: [S1] Tang, J., Salunkhe, R. R., Liu, J., Torad, N. L., Imura, M., Furukawa, S., Yamauchi, Y. Thermal Conversion of Core–Shell Metal–Organic Frameworks: A New Method for Selectively Functionalized Nanoporous Hybrid Carbon, J. Am. Chem. Soc. 2015 137, 1572–1580. [S2] Norskov, J. K.; Bligaard, T.; Logadottir, A.; Kitchin, J. R.; Chen, J. G.; Pandelov, S.; Stimming, U. J. Electrochem. Soc. 2005, 152, J23−J26. B Figure S1. Structure comparison between ZIF-8 and HZIF, Zn(im)4 was partially substituted by MoO4 unit in HZIF. Single crystal X-ray diffraction analysis reveals that the hybrid zeolite imidazole framework (HZIF) crystallizes in the cubic Im3m space group.[S3] The HZIF is constructed from two kinds of tetrahedral building blocks (MoO42-unit and Zn2+ node) and contain two kinds of connectivity, and combine structural features of both zeolites and ZIFs. A prominent structural feature of this sdt-type framework is to interconnect the truncated octahedral cages of [Zn24(2mim)36] by the inorganic MoO4 units (Figure S1d). The large [Zn24(2-mim)36] cage with effective diameter of 12.5 Å and pore aperture of 3.3 Å in HZIF is the same as the subunit in ZIF-8, a well known framework with zeolitic sodalite (SOD) topology, and thus the whole structure of HZIF can also be considered as partly substitution of Zn(im)42- units in ZIF-8 by MoO42- nodes. Reference: [S3] Wang, F., Liu, Z-S., Yang, H., Tan, Y-X., Zhang, J. Angew. Chem. Int. Ed. 2011, 50, 450– 453. Figure S2, Wide-angle XRD patterns of precursors HZIF. Figure S3, N2 adsorption-desorption isotherms for HZIF. Interpretation for Figure S2 and S3 The XRD patterns of HZIF was recorded at room temperature. The peak positions of simulated and experimental patterns are in good agreement with each other, indicating the phase purity of the as- synthesized samples (Figure. S2). The porosity for HZIF has also been investigated by N2 adsorption. As shown in Figure S3, the samples displayed type I isotherms with steep N2 uptakes at low relative pressure, which is typically associated with microporosity. The Brunauer−Emmett−Teller (BET) surface areas for HZIF was confirmed as 197.4 m2/g, these results confirmed the successful construction of HZIF frame. Figure S4, Energy dispersive X-ray (EDX) spectra of C, N, O, Mo and Zn of MoCN-3D Interpretation for Figure S4: In order to remove unevaporated zinc component, the MoCN-3D samples were treated in 0.5 M H2SO4 aqueous solution at 60 oC followed by a repeatedly filtered and washed process in deionized water. As zinc based compounds were not stable in acid environment, the zinc component can be removed almost completely (<0.06% (atom %)). TEM mapping characterization confirmed this point. Besides, EDX spectrum characterization further verified this fact. Figure S5. SEM images of the newly constructed MoCN-3D, the SEM image clearly shows the porous framework of MoCN-3D. Figure S6. (a) TEM images of the newly constructed MoCN-3D, and (b) corresponding particle sizes distribution of the molybdenum carbide nanoparticles. Figure S7 Wide-angle XRD patterns of MoCN-3D. Figure S8. (a) SEM image for the precursor of MoCN-2D. (b-d) TEM and HRTEM images of MoCN-2D sample. Figure S9 Wide-angle XRD patterns of MoCN-2D. Figure S10. The pore-size distribution curve for MoCN-3D. Figure S11. TGA (Thermal gravimetric analysis) curves of MoCN-3D and MoCN-2D catalysts measured under air atmosphere Interpretation for Figure S11. Catalyst MoCN-3D and MoCN-2D undergoes the process of gradual oxidation of Mo2C to MoO3, and the combustion of carbon. Assuming that the sample is composed of stoichiometric Mo2C and carbon, and converts to only MoO3 after heating to 700 oC, the carbon content is estimated according to the following equation: Carbon (Mass) = catalyst (Mass) - Mo2C (Mass) = 100% - (Residual mass)∗M (𝛽−molybdenum carbide) 2 M (molybdenum trioxide) For MoCN-3D, m (Mo2C) = 39.1*204/(2*144) = 27.7%. Thus, m (carbon) = 72.3%. The Mo content in atomic ratio is calculated to be 4.2 at%. For MoCN-2D, m (Mo2C) = 43.4%*204/(2*144) = 30.7%. Thus, m (carbon) = 69.3%. The Mo content in atomic ratio is calculated to be 4.83 at%. The contents of Mo elements for MoCN-3D and MoCN-2D calculated from the TGA investigation are consistent with the results derived from ICP measurement (Table S1). Figure S12. The polarization curves of MoCN-3D after 2000 CV cycles in the stability test over in 0.5 M H2SO4 media. Figure S13 (a) Time dependence of cathodic current density over MoCN-3D during electrolysis at −0.2 V in 1M KOH media, (b) The polarization curves of MoCN-3D after 2000 CV cycles in the stability test over in 1M KOH media. Figure S14. (a) N2 adsorption-desorption isotherms for MoCN-3D-800. (b) N2 adsorption-desorption isotherms for MoCN-3D-900. (c) Polarization curves of MoCN-3D calcined at different temperature in 0.5 M H2SO4. Interpretation for Figure S14 To optimize the catalytic performance of MoCN-3D catalyst, catalytic performance for sample calcined at different temperature have been evaluated. The hybrid catalysts MoCN-3D-700, MoCN-3D-800, and MoCN-3D-900 all exhibited apparent electrocatalytic activities for HER, much higher than com-Mo2C, which clearly indicated that coupling for carbon layers and Mo2C can effectively modified the work function of Mo2C and eventually influence its catalytic performance. As the pyrolysis temperature is raised from 700 to 900 oC, the catalytic activity of the materials decrease. As seen from the result that MoCN3D-700 produce the best catalytic performance and exhibit an onset potential of about 45 mV (RHE). This onset potential is similar in magnitude to that of Pt, and notably more positive than that of MoCN-3D-800 (~ -92 mV) and MoCN-3D-900 (~ -114 mV). Combined with Figure S14a and Figure S14b, which clearly indicated that higher temperature will lead to serious decrease of surface area. Based on these results, we may safely draw the conclusion that the surface area is an important parameter to influence the catalytic activity of the final hybrids. Figure S15. N1s core level (a) and Mo 3d (b) XPS spectrum of MoCN-3D before and after electrocatalysis. Figure S16. HRTEM images of surface regions of MoCN-3D before (a) and after electrocatalysis (b). Figure S17 Three-dimensional charge density difference for the Mo2C-C composite with an isovalue of 0.0006 e/bohr3. Yellow and blue isosurfaces represent charge accumulation and depletion in the space with respect to isolated Mo2C and C layer. Table S1. Chemical compositions of MoCN-2D, and MoCN-3D hybrids calculated from elemental Vairo EL III analyzer and ICP measurements. Sample C(atom %)a N(atom %) a O (atom %) b H (atom %)a Zn (atom %)c Mo (atom %)c MoCN-2D 83.97 6.49 4.27 0.13 0.11 5.03 MoCN-3D 83.17 6.86 4.89 0.09 0.1 4.89 a C, N and H, contents were detected by elemental Vairo EL III analyzer; bO content was confirmed by theoretical calculation: content of oxygen was confirmed as O (atom %) = 100 - C(atom %) N(atom %) - Zn(atom %) - Mo(atom %); c Zn and Mo contents were detected by ICP. Table S2. Presents all the computed ZPE(H*) for H* adsorbed on the surface of different models and the corresponding ΔZPE, as well as ΔE(H*) values. Sample Delta-E ZPE Delta-ZPE Delta-G Mo2C -0.9874 0.18213 0.04713 -0.7353 C 1.42018 0.29503 0.16003 1.78521 Mo2C-C -0.0884 0.307 0.172 0.28858 N-doped C 0.17937 0.31021 0.17521 0.55958 Mo2C- N-doped C -0.3877 0.3113 0.1763 -0.0064 Table S3. Summary of representative HER catalysts in acidic electrolyte Author Catalyst η (mV) Tafel slope (mV/dec) This work MoCN-3D ~46 51.4 mv/dec Bao et al. Energy & Environ. Sci 2014, 7, FeCo@NC 1919–1923. NTs-NH Sasaki et al. Angew. Chem. Int. Ed. 2012, 51, 6131–6135 Zhang et al. J. Am. Chem. Soc., 2015, 137, 15070–15073 NiMoNx/C Co−C−N Asefa. et al. Angew. Chem. Int. Ed. 2014, 53, Co- 4372–4376 NRCNTs Qiao. et al. ACS NANO, 2014, 5, 5290-5296. N, P graphene Chen. et al. Adv. Funct. Mater. 2015, 25, 872–882 PCP//NRG O Besenbacher. et.al Nature Chem. 2014, 6, [Mo3S13]2/Graphene Overpotential at the 10 mA cm-2 89 mv Electrolyte 0.5 M H2SO4 70 74 mv/dec 0.5 M H2SO4 78 35.9 mv/dec ~101 55 mv/dec 50 69 mv/dec ~276 91 mv/dec 58 127 mv/dec 100 40 mv/dec 180 mV 80 60 mv/dec 230 mV 0.5 M H2SO4 110 51.5 mv/dec 240 mV 0.5 M H2SO4 ~275 mV 0.1 M HClO4 ~283 mV 0.5 M H2SO4 138 mV 0.5 M H2SO4 140 mV 0.5 M H2SO4 420 mV 0.5 M H2SO4 229 mV 0.5 M H2SO4 248 Chhowalla. et al. Nature Mater. 2013, 12, 850 Qiao. et al. Nature Commun. 2014, 5, 3783. WS2 nanosheets C3N4@NG Table S4. Comparison of the electrocatalytic activity of the MoCN-3D reported here with some representative Mo based catalysts. Author This work Sasaki et al. Energy Environ. Sci., 2013, 6, 943–951 Girault et al Energy Environ. Sci., 2014, 7, 387–392 Sun et al Adv. Mater. 2014, 26, 5702–5707 Zou et al Angew. Chem. Int. Ed. 2015 54, 10752–10757 Lee et al Acs Nano 2014 8 5164–5173 Chhowalla et al Nano Lett. 2013, 13, 6222−6227 Sun et al Applied Catalysis B: 2015, 164, 144–150 Leonard et al Angew. Chem. Int. Ed. 2014, 53, 6407 –6410 Lou et al Angew. Chem. Int. Ed. 2015, 54, 15395 –15399 Yeo et.al J. Mater. Chem. A, 2015, 3, 8361–8368 η (mV) Tafel slope (mV/dec) Overpotential at the 10 mA cm-2 Electrolyte ~46 51.4 mv/dec 89 mv 0.5 M H2SO4 Mo2C/CNT ~74 87.6 mv/dec 150 mV 0.1 M HClO4 Mo2C nanowire ~70 ~78 mv/dec ~131 mV 0.5 M H2SO4 MoP Net work ~40 54 mv/dec ~125 mV 0.5 M H2SO4 Mo2C@NC ~60 60 mv/dec ~124 mV 0.5 M H2SO4 Mo2C/CNTgraphene ~62 58 mv/dec 1T-MoS2 ~119 ~179 mV 0.5 M H2SO4 MoP nanosheets ~100 40 mV/decade 56.4 mv/dec ~ 189 mV 0.5 M H2SO4 β-Mo2C ~183 120 mV/decade ~ 189 mV 0.1m HClO4 β-Mo2C nanotubes ~82 62 mV/decade ~ 157 mV 0.5 M H2SO4 γ-Mo2N ~279 ~ 381 mV 0.5 M H2SO4 Catalyst MoCN-3D 108 mV/decade ~136 mV 0.5 M H2SO4
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