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Electronic Supplementary Material (ESI) for Journal of Materials Chemistry A. This journal is The Royal Society of Chemistry 2019 Supporting Information Mitigating the P2 O2 phase transition of high-voltage P2-Na 2/3 [Ni 1/3 Mn 2/3 ]O 2 cathode by cobalt gradient substitution for high-rate sodium-ion batteries Peiyu Hou, a,1 Feng Li, b,1 Yangyang Wang, b Jiangmei Yin, a Xijin Xu a,* a School of Physics and Technology, University of Jinan, Jinan, 250022, China *E-mail: sps_xuxj@ujn.edu.cn (X. Xu) b School of Materials Science and Engineering, Nankai University, Tianjin, 300350, China 1 These authors contributed equally.

(101) (200) (114) (202) (004) (106) (110) (112) (100) (103) (012) (104) Intensity (002) Figure S1 Schematic diagram of nanoscale gradient cobalt substituted high-voltage P2-Na2/3[Ni1/3Mn2/3]O2 via coating-diffusion strategy. Figure S2 SEM images of the as-prepared P2-Na2/3[Ni1/3Mn2/3]O2. P6 3 /mmc (PDF#54-0894) 10 20 30 40 50 60 70 80 2 (degree) Figure S3 XRD pattern the nanoscale gradient cobalt substituted P2-Na2/3[Ni1/3Mn2/3]O2.

Figure S4 XPS results of the pristine nanoscale gradient Co 3+ substituted P2-Na2/3[Ni1/3Mn2/3]O2: (a) Na 1s, (b) Ni 2p, (c) Mn 2p, and (d) Co 2p. Figure S5 CV curves of the (a) bare and (b) gradient Co 3+ substituted P2-Na2/3[Ni1/3Mn2/3]O2 between 2.5 and 4.5 V (vs. Na/Na + ) at 0.1mV s -1.

Figure S6 The relationship between Zim and ω -1/2 in the low frequency region at varied states of charge/discharge: (a) charged to 3.5 V, (b) charged to 3.85 V, (c) charged to 4.3 V, (d) discharged to 4.1 V, (e) discharged to 3.75 V, and (f) discharged to 3.4 V. Figure S7 Ex-situ XRD analysis of the bare P2-NaNMO electrode tested at various discharge/charge states.

Table S1 Comparison of the capacity, voltage and energy density of the gradient Co 3+ substituted P2-Na2/3[Ni1/3Mn2/3]O2 and recent reports. Electrochemical properties Category Structural formula Capacity (mah g -1 ) Voltage (V) Energy density (Wh kg -1 ) Ref. Na2/3Ni0.29Co0.13Mn0.58O2 164.2 3.55 583 Our work Na2/3Fe1/2Mn1/2O2 190 2.75 523 S1 Na0.6Cr0.6Ti0.4O2 75 3.45 259 S2 Na0.67Mn0.67Ni0.28Mg0.05O2 123 3.7 455 S3 P2-type Na2/3Cu1/12Ni1/4Mn2/3O2 130 3.62 471 S4 Na2/3Ni0.283Mg0.05Mn2/3O2 150 3.5 525 S5 Na2/3Ni1/3Mn1/3Ti1/3O2 90 3.5 322 S6 Na2/3Fe0.2Mn0.8O2 190 2.5 475 S7 NaNi0.45Cu0.05Mn0.4Ti0.1O2 122 3.0 366 S8 NaNi0.5Mn0.2Ti0.3O2 140 3.0 420 S9 Na0.8Ni0.4Ti0.6O2 85 2.8 238 S10 O3-type NaNi0.6Co0.05Mn0.35O2 145 2.5 363 S11 NaLi0.05Mn0.50Ni0.30Cu0.10Mg0.05O2 172 2.75 473 S12 NaCrO2 120 3.0 360 S13 Na3Ni1.5Cu0.5BiO6 92 3.2 294 S14 Na3V2(PO4)3 115 3.4 391 S15 Na3V2(PO4)2F3 116 3.6 418 S16 Polyanion Na3V2(PO4)2O2F 127.8 3.8 486 S17 NaVOPO4 144 3.5 504 S18 NaFePO4 146 2.4 350 S19 Prussian Na1.89Mn[Fe(CN)6]0.97 150 3.5 525 S20 blues Na0.61FeFe(CN)6 170 3.0 510 S21 Organics Na4C8H2O6 180 1.8 324 S22 Na2C6O6 192 2.1 403 S23

The Na + diffusion coefficient (DNa+) can be calculated according to the following Equation: DNa+= (R 2 T 2 )/(2A 2 n 4 F 4 C 2 δ 2 ) where R is the gas constant (8.314 J K -1 mol -1 ), T is the absolute temperature (298.15 K), A is the surface area of the electrode (0.785 cm 2 ), n is the number of the electrons per molecule during oxidization (here, n=1), F is the Faraday constant (96500 C mol -1 ), C is the concentration of Na + (4.12 10-2 (0.76-x) mol cm -3, x indicates the extracted Na + in Na2/3[Ni1/3Mn2/3]O2) and δ is the Warburg factor (Ωs -1/2 ) associated with Zim (the imaginary part of cell impedance, ohm) and ω (the frequency, Hz), calculated by Equation: Zim δω -1/2 Table S2 The calculated Na + diffusion coefficient (DNa+) during charge processes. Na + diffusion coefficient (D Na+) Samples Charged 3.45 V Charged 3.85 V Charged 4.3 V Average Bare NaNMO 1.88 10-12 4.14 10-13 2.37 10-11 8.66 10-12 Co-gradient NaNMO 4.06 10-12 1.76 10-12 3.59 10-11 1.34 10-11 Table S3 The calculated Na + diffusion coefficient (DNa+) during discharge processes. Na + diffusion coefficient (D Na+) Samples Discharged 4.1 V Discharged 3.75 V Discharged 3.4 V Average Bare NaNMO 1.89 10-12 7.52 10-12 1.71 10-12 3.71 10-12 Co-gradient NaNMO 4.92 10-12 2.66 10-11 4.76 10-12 1.21 10-11

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