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Electronic Supplementary Material (ESI) for Journal of Materials Chemistry A. This journal is The Royal Society of Chemistry 2019 Supplementary Information Mo modulation effect on the hydrogen binding energy of hcp Ru for hydrogen evolution Zhen Zhang a, b, Ping Li d, Qi Wang b, Qi Feng a, b, Youkun Tao c, Jiaoyan Xu b, Cheng Jiang b, Xiner Lu b, Jiantao Fan b, Meng Gu b, Hui Li b *, Haijiang Wang c * a School of Materials Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China b Department of Materials Science and Engineering, Southern University of Science and Technology, Shenzhen, 518055, China c Department of Mechanical and Energy Engineering, Southern University of Science and Technology, Shenzhen, 518055, China d Department of Physics, Soochow University, Suzhou 215006, China * Corresponding author: Department of Materials Science and Engineering, Southern University of Science and Technology, Shenzhen, 518055, China E-mail address: hui.li@sustc.edu.cn

Table S1. The adsorption energy of H species (ΔE H* ), the relevant contributions to the free-energy (ΔZPE and TΔS), and the final calculated Gibbs free-energy of adsorbed H* (ΔG H* ) for different models. Species E H* (ev) ZPE(eV) -T S (ev) G H* (ev) H 2 / 0.289-0.410 / H* on pristine Ru H* on Ru site [Mo-Ru] H* on Mo site [Mo-Ru] H* on Ru site [MoRu 3 ] H* on Mo site [MoRu 3 ] -0.619 0.975 0.205 0.56-1.249 0.686 0.205-0.36-1.203 0.686 0.205-0.31-1.186 0.774 0.205-0.21-1.078 0.774 0.205-0.10

Figure S1. The corresponding values of G H* on the (002) and (101) planes of hcp MoRu 3 for Ru and Mo sites. The (002) plane shows Gibbs free energy of adsorption of -0.36 and -0.13 ev for Ru and Mo site, respectively. The (101) plane represents G H* of -0.41 and -0.17 ev for Ru and Mo atom, respectively.

(a) (b) 500 nm Figure S2. (a) SEM image and (b) XRD pattern of Zn-MOF precursor.

Figure S3. SEM and EDS mapping for Mo@Ru-5. 500 nm

Figure S4. The N 2 adsorption-desorption isotherm and pore size information for Mo@Ru-3. A type- II isotherm with a H3-type hysteresis loop is obtained, which is characteristic of mesoporous non-rigid aggregates. The Mo@Ru-3 sample shows a specific surface area of 71.13 m 2 g -1.

Figure S5. (a) Summarized XPS spectra and (b) Ru3p, (c) Mo3d analysis.

(a) (b) Figure S6. (a) N1s XPS spectrum and (b) Mo3d XPS spectrum of Mo@Ru-2.

Figure S7. The Ru/Mo atomic ratio for Mo@Ru-x (x= 1 to 5) samples.

Table S2. Comparison of the overpotential at a current density of 10 ma cm -2 and Tafel slopes of Mo@Ru-3 in this work with other catalysts. Catalyst Overpotential (mv) Tafel slop (mv dec -1 ) Reference Mo@Ru-3 30.5 36.4 This work Ru nanosheets 20 46 1 Ru@C 2 N 22 30 2 Ru/layered carbon 35 46 3 Ru/CCS 27.3 33 4 Ni 43 Ru 57 41 31 5 NiRu@N C 50 36 6 Ni@Ni 2 P Ru 51 35 7 Ru/grapphene 53 44 8 WO 0.29 70 50 9 Ni-Mo 2 C@C 72 65.6 10 Ru/MeOH/THF 83 46 11 Fe 3 C/Mo 2 C@NPGC 98 45.2 12 WC nanoparticles 98 52 13 Mo 2 C/graphene 130 57.3 14 Cu 7 S 4 @MoS 2 133 48 15 Co/CoP 146 51.3 16 1T-WS2 142 70 17 WC@CNTs 145 72 18 Co 2 P 134 51.7 19 Co@Mo 2 C 140 39 20 CoP 159 59 21 Co-NG 147 82 22 Mo 2 C@PC 177 96 23

Figure S8. Polarization curve of commercial Ru/C (10 wt%) catalyst obtained in a three-electrode system. This catalyst requires 126.6 and 226.9 mv to drive the current densities of 10 and 60 ma cm -2, respectively.

(a) (b) (c) (d) Figure S9. (a-c) Cyclic voltammetry curves of Mo@Ru-2, Mo@Ru-3 and Mo@Ru-4, respectively. The black arrow indicates the scan rate from 5 mv s -1 to 50 mv s -1. (d) The current density variation ( J =Ja-Jc) at an overpotential of 0.20 V plotted against scan rate fitted to a linear regression enables the estimation of C dl, where the slope is twice C dl.

(a) (b) 500 nm Figure S10. (a) SEM and EDS mapping, (b) XRD patterns for Mo@Ru-3 sample after 5000 CV cycles testing.

(a) (b) Figure S11. Polarization curves of (a) Mo@Ru-2 and Mo@Ru-4, respectively, recorded before and after 5000 potential sweeps.

(a) (b) Figure S12. (a) XRD patterns and (b) HER polarization curves for Mo@Ru-3 samples annealed at 650 C, 750 C and 850 C, respectively.

Table S3. Current densities at various cell voltages and different temperatures for the as-prepared Mo@Ru-3 catalyst tested in a home-made PEM electrolyzer. Current density (A cm -2 ) 1.6 V 1.7 V 1.8 V 1.9 V 2.0 V 25 C 0.026 0.103 0.213 0.354 0.502 40 C 0.041 0.145 0.288 0.461 0.645 60 C 0.070 0.216 0.403 0.627 0.865 80 C 0.120 0.319 0.564 0.852 1.156

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