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Electronic Supplementary Material (ESI) for Energy & Environmental Science. This journal is The Royal Society of Chemistry 2018 Electronic Supplementary Information (ESI) Nanomat Li-S batteries based on all-fibrous cathode/separator assemblies and reinforced Li metal anodes: Towards ultrahigh energy density and flexibility Jung-Hwan Kim, a Yong-Hyeok Lee, a Sung-Ju Cho, a Jae-Gyoung Gwon, b Hye-Jung Cho, b Minchul Jang, c Sun-Young Lee, b, * and Sang-Young Lee a, * a Department of Energy Engineering, School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan, 44919, Republic of Korea. *E-mail: syleek@unist.ac.kr b Department of Forest Products, National Institute of Forest Science, Seoul, 02455, Republic of Korea. *E-mail: nararawood@korea.kr c Future Technology Research Center, LG Chem., Seoul, 07796, Republic of Korea. 1

Table S1. Summary of the major component specifications and volumetric cell capacities: nanomat Li-S cell vs. previously reported flexible Li-S cells. SR1-24 Note that some of the previous works did not reveal the thicknesses of lithium metal electrodes and current collectors. Here, to provide a quantitative comparison, these values were assumed to be 120 (lithium metal electrodes) and 20 m (current collectors), respectively, from the product information (the thinnest ones practically available) of Sigma-Aldrich. 2

Ref. This work Characteristic Nanomat Li-S cell (Cathode-separator assembly + Reinforced Li metal) Areal mass loading of sulfur Areal capacity Electrode thickness Separator thickness Li metal thickness Current collector thickness Cell thickness Sulfur loading (per cell volume) mg cm -2 mah cm -2 m m m m m g ml cell -1 Volumetric cell capacity Ah L cell -1 3.10 2.7 50-55 - 105 0.29 257.14 6.36 5.16 95-55 - 150 0.42 344 9.28 7.54 135-55 - 190 0.46 396.84 SR1 MOF@CNT@S 4.57 3.59 30.4 25 120 20 195.4 0.23 183.72 SR2 rgo@pedot:pss@s 3 3.3 30.3 25 120 20 195.3 0.15 168.97 SR3 Li 2S@NCNF 3 2.2 150 25 120 20 315 0.09 69.84 SR4 SWNT/CNF+CNF/S 4 3.8 100 25 120 20 265 0.15 143.39 SR5 CF@CNTs/MgO-S 3.8 3.65 5000 25 120 20 5165 0.01 7.066 SR6 NG@S-CNT 4.7 3.96 70 25 1000 20 1115 0.042 35.51 SR7 S/G/NPCFs 1.1 0.89 50 25 120 20 215 0.051 41.39 SR8 3D graphene sponges composite 2 0.84 100 25 120 20 265 0.075 31.69 SR9 N-doped carbon foam 1.2 1 2500 25 120 20 2665 0.004 3.75 SR10 CNT/ACNF@MnO2-S 2.4 2.01 70 25 120 20 235 0.1 85.53 SR11 CNT/S/CNT 3.2 2.26 100 25 120 20 265 0.12 85.28 SR12 NCPT+MWNT/S 3 2.55 150 25 120 20 315 0.095 80.95 SR13 C/S/C 0.83 0.91 50 25 120 20 215 0.038 42.32 SR14 GF-rGO/S 9.8 6.86 1400 25 120 20 1565 0.062 43.83 SR15 S-rGO paper 1 0.97 50 25 120 20 215 0.046 45.11 SR16 CNT current collector 6.8 4.8 80 25 120 6 231 0.29 207.79 SR17 S-G@PP 2.1 1.78 70 25 120 20 235 0.089 75.74 SR18 G-NDHCS-S 3.9 3.86 120 25 120 20 285 0.13 135.43 SR19 S-CP@TiO 2 2 2.2 90 25 120-235 0.085 93.61 SR20 VACNT-MWCNT@S 6.3 5 250 25 120 20 415 0.15 120.48 SR21 S/CNT/C 2.3 1.9 50 25 120 20 215 0.1 88.37 SR22 S-CNT 3 2.6 40 25 120 20 205 0.14 126.82 SR23 GS/S 1.53 0.95 50 25 120 20 215 0.07 44.18 SR24 S-CNT 1.25 0.71 70 25 120-215 0.058 33.02 3

Fig. S1. Structural characteristics of MWCNT@S. (a) TEM image. (b) XRD patterns. (c) TGA profiles. 4

Fig. S2. SEM image (cross-sectional) of a cathode-separator assembly showing the seamless integration of the heteromat-structured sulfur cathode (~ 30 µm) and bi-layered paper separator (~ 20 µm). 5

Fig. S3. TGA profiles of the cathode-separator assembly. The results of the major components themselves are also provided for comparison. 6

Fig. S4. Comparison of the electrolyte immersion height: control sulfur cathode vs. cathodeseparator assembly. 7

Fig. S5. Change in the grey level in the bottom of the tubes (shown in Fig. 2h) as a function of elapsed time. 8

Fig. S6. Zeta potential of the pristine CNFs and a-cnfs. 9

Fig. S7. SEM images of the a-cnf layer and pristine CNF layer (inset). 10

Fig. S8. Galvanostatic charge/discharge profiles of Li-S cells assembled with different cathodeseparator assemblies (a-cnf layer vs. CNF layer) at a charge/discharge current density of 1.0 C/1.0 C. (a) 1 st cycle. (b) 200 th cycle. 11

Fig. S9. Comparison of the discharge rate capabilities of the cathode-separator assemblies as a function of a-cnf layer thickness, in which the cells were discharged at various current densities (0.2-5.0 C) under a fixed charge current density of 0.5 C between 1.8 to 2.6 V. 12

Fig. S10. (a) Photograph of the (Ni/Cu-plated) conductive PET nonwoven. (b) EDS profile. 13

Fig. S11. Cross-sectional SEM images of the reinforced Li metal. (a) Low magnification. (b) High magnification. 14

Fig. S12. Photographs of the disassembled cell components after the repeated plating/stripping test. (a) Pristine Li metal electrode. (b) Reinforced Li metal electrode. 15

Fig. S13. Comparison of SEM images (pristine Li metal electrode vs. reinforced Li metal electrode). (a) and (b) Surface view. (c) and (d) Cross-sectional view (before and after the plating/stripping cycles). 16

Fig. S14. Electrochemical impedance spectroscopy (EIS) profiles (at the 1 st and 20 th cycle) of (a) the pristine Li metal and (b) reinforced Li metal electrodes. (c) Equivalent circuit diagram for the EIS plots and summary of the fitted parameters. 17

Fig. S15. (a) Comparison of the discharge rate capability between nanomat and control Li-S cells. Discharge profiles of (b) the nanomat Li-S cell and (c) control Li-S cell. The gravimetric discharge capacities of the cells were expressed based on the sulfur mass loading (mah gsulfur - 1 ). The discharge current densities varied from 0.2 to 5.0 C at a fixed charge current density of 0.2 C under a voltage range of 1.8 2.6 V. 18

Fig. S16. (a) Cycling performance (charge/discharge current density = 1.0 C/1.0 C) of the nanomat and control Li-S cells. Galvanostatic charge/discharge profiles of (b) the nanomat Li- S cell and (c) control Li-S cell. The charge/discharge capacities of the cells were expressed based on the sulfur mass loading (mah gsulfur -1 ). 19

Fig. S17. SEM images of the nanomat and control Li-S cells after the cycling test (500 cycles). (a) Control sulfur cathode. (b) Heteromat (MWCNT@S/SWCNT) sulfur cathode. (c) Paper separator. 20

Fig. S18. XPS profiles of the PE and paper separators (facing the Li metal anodes) after the cycling test (500 cycles). 21

Fig. S19. EDS profiles (focusing on the sulfur element) after the cycling test (500 cycles). (a) Pristine Li metal anode. (b) Reinforced Li metal anode. 22

Fig. S20. Galvanostatic charge/discharge profiles (voltage vs. areal capacities, measured at a charge/discharge current density of 0.2 C/0.2 C) of the nanomat Li-S cells fabricated with different cathode-separator assemblies as a function of sulfur mass loading. (a) Areal mass loading of sulfur = 3.10 mg cm -2. (b) 6.36 mg cm -2. (c) 9.28 mg cm -2. 23

Fig. S21. (a) In situ monitoring of the cell voltage during charge/discharge reaction upon repeated bending deformation (bending radius = 2.5 mm and deformation rate = 500 mm min 1 ). (b) High-magnification view of the charge/discharge profiles. 24

Fig. S22. Summary of the analysis modes used to elucidate the mechanical deformability: nanomat Li-S cell vs. previously reported flexible Li-S cells (Supplementary references SR1-24). 25

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