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1 Supporting Information Cobalt Disulfide Nanoparticles Embedded in Porous Carbonaceous Micro- Polyhedrons Interlinked by Carbon Nanotubes for Superior Lithium and Sodium Storage Yuan Ma,, Yanjiao Ma,, Dominic Bresser,, Yuanchun Ji, Dorin Geiger, Ute Kaiser, Carsten Streb,, Alberto Varzi,*,, Stefano Passerini*,, Helmholtz Institute Ulm (HIU), Helmholtzstrasse 11, D Ulm, Germany Karlsruhe Institute of Technology (KIT), P.O. Box 3640, D Karlsruhe, Germany Institute of Inorganic Chemistry I, Ulm University, Albert-Einstein-Allee 11, D Ulm, Germany Central Facility for Electron Microscopy, Group of Electron Microscopy of Materials Science, Ulm University, Albert-Einstein-Allee 11, D Ulm, Germany * of corresponding author: stefano.passerini@kit.edu (S. Passerini); alberto.varzi@kit.edu (A. Varzi) S1

2 Figure S1. XRD pattern of the Co-C/CNT nanocomposite. S2

3 Figure S2. TEM images of (a) Co-C/CNT and (c) CoS 2 -C/CNT and the corresponding particle size distribution of (b) metallic Co and (d) CoS 2. S3

4 Figure S3. XPS analysis of CoS 2 -C/CNT, including fitting: (a) S 2p 1-3, and (b) Co 2p 1,4. As discussed in the main text, the XPS analysis reveals that some elemental sulfur remains in the sample and does not react with the cobalt comprised in the Co-C/CNT precursor. Additionally, it is observed that some cobalt remains metallic despite the sulfur excess added during the preparation process. The detected sulfate presumably originates from the sample handling and preparation for the XPS analysis, which was conducted under air, since cobalt sulfide rapidly forms cobalt sulfate in contact with oxygen and water. S4

5 Figure S4. EDX mapping images of CoS 2 -C/CNT. S5

6 Figure S5. TGA curve recorded for CoS 2 -C/CNT under air flow (heating rate: 2 C min -1 ). S6

7 Table S1. Co, C and S content determined by ICP-OES and EDX for CoS 2 -C/CNT. ICP [wt%] EDX [wt%] Co C S S7

8 Figure S6. Raman spectrum of the CoS 2 -C/CNT nanocomposite. S8

9 Table S2. Electronic conductivity of various metal oxides/sulfides and composites additionally including carbonaceous materials, as reported in literature. Materials Compound Electronic conductivity (S cm -1 ) Ref. Fe 2 O Metal oxides or carbonaceous metal oxides Fe 2 O 3 -graphene NiO-GNS GNS-CuO Metal sulfides or carbonaceous metal sulfides SnS SnS 2 -RGO NiS-GNS MoS 2 /C CoS/graphene CoS 2 /RGO-CNT CoS 2 -C/CNT 1.2 This work S9

10 Figure S7. (a) Nitrogen-adsorption isotherm at 77 K recorded for CoS 2 -C/CNT. (b) Pore size distribution for CoS 2 -C/CNT, determined from the adsorption isotherm by using the BJH (Barrett-Joyner-Halenda) method. S10

11 Figure S8. Galvanostatic cycling of electrodes based on the Co-C/CNT intermediate (applied specific current: 100 ma g -1 ) to determine the capacity contribution of the comprised carbon, assuming that the subsequent sulfidation process does not have a substantial impact on the carbonaceous species. These electrodes provide a reversible capacity of about 500 mah g -1 in the first cycle, which subsequently decreases to about 440 mah g -1 after 15 cycles. As metallic cobalt is considered to be electrochemically inactive in these electrodes, the corresponding weight fraction was not considered when calculating the given capacity values. S11

12 Figure S9. The ex situ SEM micrographs of the CoS 2 -C/CNT anode for LIBs (a) after 60 cycles and (b) after 120 cycles. S12

13 Table S3. Comparison of the cycling performance of CoS 2 or CoS 2 -based composites, employed as active material for lithium-ion electrodes. Materials Compound Current density (ma g -1 ) Cycles Capacity (mah g -1 ) Ref. CoS2 or CoS2- based composite CoS2 composites including carbonaceous materials different from carbon nanotubes Carbonaceous CoS2 composite with carbon nanotubes CoS 2 Hollow Spheres CoS 2 NPs/Al 2 O 3 NSs Hierarchical Wormlike CoS The Yolk-shell CoS CoS 2 NPs/C CoS 2 -in-wall-ncss NC/CoS CoS 2 NP@G-CoS 2 QD NC@CoS CoS CoS 2 /G CoS 2 /G CoS 2 /graphene CoS 2 /rgo CNTs@C@CoS CoS 2 /fcnt CoS 2 /NCNTF CoS 2 /CNTs/graphene CoS 2 /GCAs CoS 2 /rgo/mwcnts This work CoS 2 -C/CNT S13

14 Table S4. Comparison of the rate capability of CoS 2 or CoS 2 -based composites, employed as active material for lithium-ion electrodes. Materials Compound Specific current (A g -1 ) Capacity (mah g -1 ) Ref. CoS2 or CoS2- based composite CoS 2 NPs/Al 2 O 3 NSs Hierarchical Worm-like CoS CoS 2 polyhedrons CoS2 composites including carbonaceous materials Carbonaceous CoS2 composite with carbon different from carbon nanotubes nanotubes CoS 2 NPs/C CoS 2 -in-wall-ncss NC/CoS CoS 2 NP@G-CoS 2 QD NC@CoS CoS CoS 2 /G CoS 2 /G CoS 2 /graphene CNTs@C@CoS CoS 2 /fcnt CoS 2 /NCNTF CoS 2 /CNTs/graphene CoS 2 /GCAs This work CoS 2 -C/CNT S14

15 Figure S10. CV curves recorded for electrodes based on CoS 2 -C/CNT vs. lithium metal at various scan rates ranging from 0.1 to 10.0 mv s -1. S15

16 Figure S11. Ex situ obtained (a) SEM and (b) TEM micrographs of the CoS 2 -C/CNT nanocomposite subjected to 200 dis-/charge cycles at a specific current of 100 ma g -1 in 1M NaPF 6 -DME vs. sodium metal. S16

17 Table S5. Comparison of the cycling performance of CoS 2 or CoS 2 -based composites, employed as active material for sodium-ion electrodes. Materials Compound Current density CoS2 CoS2 composites including carbonaceous materials different from carbon nanotubes (ma g -1 ) Cycles Capacity (mah g -1 ) Capacity retention (%) CoS ~30 35 Hollow CoS CoS 2 NPs/C CoS 2 /C polyhedrons Ref CoS 2 /rgo 100 ~ CoS CoS 2 /rgo Carbonaceous CoS2 composite with carbon nanotubes CoS 2 /GCAs CoS 2 -MWCNT This work 100 CoS 2 -C/CNT S17

18 Table S6. Comparison of the rate capability of CoS 2 or CoS 2 -based composites, employed as active material for sodium-ion electrodes. Materials Compound Specific current (A g -1 ) Capacity (mah g -1 ) Ref. CoS2 composites including CoS2 carbonaceous materials different Carbonaceous CoS2 composite with from carbon nanotubes carbon nanotubes CoS Hollow CoS CoS 2 NPs/C CoS 2 /C polyhedrons CoS 2 /rgo CoS CoS 2 /rgo CoS 2 /GCAs CoS 2 -MWCNT This work CoS 2 -C/CNT S18

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