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Electronic Supplementary Material (ESI) for Journal of Materials Chemistry A. This journal is The Royal Society of Chemistry 2018 Supporting information Effect of cation substitution on pseudocapacitive performance of spinel cobaltite MCo 2 O 4 (M = Mn, Ni, Cu, and Co) Shude Liu a, Dixing Ni b, Hai-Feng Li c, Seong Chan Jun*,a, Kwun Nam Hui*,c, Chu- Ying Ouyang*,b a School of Mechanical Engineering, Yonsei University, Seoul 120-749, South Korea b Department of Physics, Jiangxi Normal University, Nanchang, 330022, China c Institute of Applied Physics and Materials Engineering, University of Macau, Avenida da Universidade, Taipa, Macau, China. *Corresponding author s E-mail: scj@yonsei.ac.kr S1

Fig. S1. (a d) Field emission scanning electron microscopy images of Co 3 O 4 nanowires at different magnifications; and (e, f) the corresponding EDS elemental mappings measured from Fig. S1d. Fig. S2. Field emission scanning electron microscopy images and the corresponding EDS elemental mappings recorded from (a d) MnCo 2 O 4, (e h) NiCo 2 O 4, and (i l) CuCo 2 O 4 nanowires. S2

Fig. S3. EDX spectra of the synthesized MnCo 2 O 4 (a), NiCo 2 O 4 (b), and CuCo 2 O 4 (c); the insets show the atomic ratio of Co/M ((i.e., Mn, Ni, and Cu)) by EDX analysis. Fig. S4. X-ray diffraction patterns of (a) MnCo 2 O 4, (b) NiCo 2 O 4, (c) CuCo 2 O 4, and (d) Co 3 O 4 nanowires. S3

Fig. S5. The ball-and-stick model of (a) normal and (b) inverse spinel MCo 2 O 4 (M=Cu, Ni, Mn). The green, blue and red spheres are M (M= Cu, Ni, Mn), Co, and O atoms, respectively. Fig. S5 presents the normal and inverse spinel structures of MCo 2 O 4 (M = Mn, Ni, Cu, and Co). In a conventional unit cell of the spinel structure, O atoms are arranged in a face centered cubic lattice, and there are tetrahedral (8a) sites and octahedral (16d) sites available for the cations. If M atoms occupy the 8a sites and Co atoms occupy the 16d sites, then the structure is named normal spinel. Conversely, if M atoms occupy half of the 16d sites, while Co atoms occupy the 8a sites and the left half of the 16d sites, then structure is named inverse spinel. Due to the different octahedral and tetrahedral crystal fields, the degeneration of the 3d orbital is completely different. Therefore, in order to study the electronic structure of the MCo 2 O 4 spinel, the cation occupation in the spinel structure should be considered first. S4

Fig. S6. The total density of states of MCo 2 O 4 (M = Ni, Ni, Cu, Co). Spin up and spin down are separated with black and red colors, respectively. The Fermi level is aligned to 0 ev. Fig. S7. High-resolution O 1s spectra of (a) MnCo 2 O 4, (b) NiCo 2 O 4, (c) CuCo 2 O 4, and (d) Co 3 O 4 nanowires. S5

Fig. S8. The nitrogen adsorption desorption isotherms of the mesoporous MCo 2 O 4 (Mn, Ni, Cu, Co) nanowires. The inset shows the corresponding Barrett-Joyner- Halenda pore size distribution plot. Fig. S9. Selected area electron diffraction patterns of (a) MnCo 2 O 4, (b) NiCo 2 O 4, and (c) CuCo 2 O 4 nanowires. S6

Fig. S10. Comparison of CV curves of MnCo 2 O 4, NiCo 2 O 4, CuCo 2 O 4, Co 3 O 4, and NF electrodes obtained at a scan rate of 10 mv s 1. Fig. S11. CV curves of the (a) MnCo 2 O 4, (b) NiCo 2 O 4, (c) CuCo 2 O 4, and (d) Co 3 O 4 electrodes obtained at different scan rates ranging from 2 to 15 mv s 1. S7

Fig. S12. GCD curves of (a) MnCo 2 O 4, (b) NiCo 2 O 4, (c) CuCo 2 O 4, and (d) Co 3 O 4 electrodes obtained at different current densities of 1 15 A g 1. Fig. S13. EIS curves of MCo 2 O 4 (Mn, Ni, Cu, Co) electrodes; the inset is the equivalent circuit. S8

Fig. S14. Coulombic efficiencies of (a) MnCo 2 O 4, (b) NiCo 2 O 4, (c) CuCo 2 O 4, and (d) Co 3 O 4 electrodes during cycling tests. S9

Fig. S15. Field emission scanning electron microscopy images of (a c) MnCo 2 O 4, (d f) NiCo 2 O 4, (g i) CuCo 2 O 4, and (j l) Co 3 O 4 nanowires at different magnifications after cycling tests. S10

Fig. S16. Electrochemical performance of the AC/NF electrode for supercapacitors: (a) CV curves at various scan rates of 10 50 mv s 1 ; (b) GCD curves at various current densities of 1 10 A g 1 ; (c) the specific capacitance at different current densities; (d) cycling performance at a current density of 10 A g 1, the inset of Fig. S15 is the GCD curves in the last ten cycles. The electrochemical performance of the AC/NF electrode was measured in a threeelectrode cell using 1 M KOH as electrolyte (Fig. S15). Fig. S15a presents the CV curves performed at various scan rates of 10 50 mv s 1, which exhibit a quasirectangular shape, implying ideal capacitive behavior. Fig. S15b shows the GCD measurements conducted at a voltage ranging from 1 0 V vs. SCE at various current densities of 1 10 A g 1. The specific capacitance calculated from the discharge curves delivers a high specific capacitance of 224 F g 1 at 1 A g 1, and remains at 121 F g 1 for 10 A g 1 (Fig. S15c). The cycle performance of the as-synthesized AC/NF electrode was evaluated at a current density of 10 A g 1 (Fig. S15d). The AC/NF electrode exhibits excellent long-term stability with high capacitance retention (94.9%) after 5000 cycles. S11

Fig. S17. Electrochemical properties of the Co 3 O 4 /NF//AC/NF device: (a) Comparison of CV curves of Co 3 O 4 /NF and AC//NF electrodes at 10 mv s 1 ; (b) CV curves at various sweep rates ranging from 10 50 mv s 1 ; (c) GCD curves with different current densities ranging from 1 10 A g 1 ; (d) Specific capacitance at different current densities. Fig. S18. (a) Impedance Nyquist plot and (b) the Coulombic efficiency in the whole cycling process for the assembled MnCo 2 O 4 /NF//AC/NF device. S12

Table S1. The calculated free energies F (in ev) of the MCo 2 O 4 (M = Cu, Ni, Mn, Co) spinel and inverse-spinel Free Energy CuCo 2 O 4 NiCo 2 O 4 MnCo 2 O 4 Co 3 O 4 (ev) Normal spinel -303.15 ev -315.91 ev -362.63 ev -333.87 ev Inverse spinel -305.01 ev -316.09 ev -365.47 ev Table S2. The calculated magnetic moment of the transition metal atoms in the normal spinel and inverse-spinel (lowest energy case) structures MOM (μ B ) CuCo 2 O 4 NiCo 2 O 4 MnCo 2 O 4 Co 3 O 4 Normal spinel Cu: 0 Ni: 2.0 Mn: 5.0 Co tet : 3.0 Co: 0 Co: 0 Co: 0 Co oct : 0 Inverse spinel Cu: 0 Ni: 1.0 Mn: 4.0 Co tet : 3.0 Co tet : 3.0 Co tet : 3.0 Co oct : 0 Co oct : 0 Co oct : 0 S13

Table S3. The calculated lattice parameter of the transition metal atoms in the normal spinel and inverse-spinel structures Lattice constant (Å) CuCo 2 O 4 NiCo 2 O 4 MnCo 2 O 4 Co 3 O 4 8.14 8.26 Normal spinel a/b/c 8.07 8.04 8.28 8.15 8.14 8.06 Inverse spinel a 8.25 8.26 8.25 b 8.22 8.12 8.25 c 8.25 8.17 8.56 Table S1 presents the calculated free energy F of the MCo 2 O 4 (M = Cu, Ni, Mn, Co) spinel and inverse-spinel, which is the sum of the calculated ground state energy and the configurational entropy term ( T S) at the temperature of sample preparation (623 K) during the post-annealing process. Since all samples are in solid state phases, the PV term is not considered. As for the normal spinel structure, no cation disordering occurs and therefore the configurational entropy is zero. Conversely, for the inverse spinel, cation disordering occurs in the 16d sites. The configurational entropy can be expressed as: S k B ln k The sample preparation temperature is 623 K, and therefore the evaluated entropy contribution to the free energy is -0.51 ev for all inverse spinel structures. For Co 3 O 4, normal and inverse spinel structures are identical. As for the MnCo 2 O 4, NiCo 2 O 4, and CuCo 2 O 4 inverse spinel cases, different M/Co distribution patterns are considered. The distribution patterns with their corresponding lowest ground state energies and lattice parameters are calculated, as presented in Tables S2-3. Clearly, the inverse spinel structures have lower free energies compared with that of the corresponding normal spinel structures for all ternary MCo 2 O 4 cases. The results indicate that the inverse spinel structures are thermodynamically more favorable than the normal spinel structures and therefore all the prepared samples should be inverse spinel. The electronic structures of the ternary MCo 2 O 4 are calculated based on inverse spinel structures. B ln( 8 C 16 ) S14

Table S4. Comparison of the maximum C s of reported cobalt-derived composites as pseudocapacitor electrode materials and the present work. C s (current Materials Preparation method density/scan Ref. rate) MnCo 2 O 4 nanoflakes Hydrothermal method followed by a calcination process 1487 F g 1 (1 A g 1 ) S[1] MnCo 2 O 4 nanosheets Electrodeposition process coupled with a calcination process 290 F g 1 (mv s 1 ) S[2] CoMn 2 O 4 nanowires Hydrothermal method followed by a calcination process 2108 F g 1 (1 A g 1 ) S[3] MnCo 2 O 4 nanoparticles@rgo Hydrothermal method followed by a calcination process 334 F g 1 (1 A g 1 ) S[4] Flower-like C@MnCo 2 O 4 nanopetals Hydrothermal method followed by a calcination process 728.4 F g 1 (1 A g 1 ) S[5] MnCo 2 O 4.5 nanoneedles/carbon aerogel Hydrothermal method followed by a calcination process 380 F g 1 (0.2 A g 1 ) S[6] NiCo 2 O 4 @CNT/CNT films Co-precipitation coupled with a calcination process 1590 F g 1 (0.5 A g 1 ) S[7] NiCo 2 O 4 @NiWO 4 core shell nanowires Hydrothermal method followed by a calcination process 1384 F g 1 (1 A g 1 ) S[8] CuCo 2 O 4 /MnCo 2 O 4 heterostructures Hydrothermal method followed by a calcination process 1216 F g 1 (1 A g 1 ) S[9] NiCo 2 O 4 nanoflakes/mnco 2 O 4 nanoparticles Hydrothermal method followed by a calcination process 1100 F g 1 (1 A g 1 ) S[10] S15

Table S5. Representative fitted EIS parameters based on the experimental impedance spectra. Materials Fitted equivalent circuit elements R s (Ω) R ct (Ω) CPE T CPE P W R W T W P MnCo 2 O 4 1.201 0.704 0.027 0.729 1.812 1.057 0.413 NiCo 2 O 4 0.946 0.946 0.020 0.674 1.811 0.620 0.470 CuCo 2 O 4 1.573 1.353 0.009 0.760 10.45 2.089 0.446 Co 3 O 4 1.913 2.137 0.043 0.612 0.295 0.098 0.449 Note: R s is the combinational resistance of the ionic resistance of electrolyte, intrinsic resistance of substrate, and contact resistance at the active material/current collector interface; R ct is the charge transfer resistance; C 1 is double-layer capacitance; CPE is constant phase element; and W is the Warburg resistance. Table S6. Refined room temperature structural parameters of MnCo 2 O 4 as well as the calculated shortest bond lengths (Å) and the goodness of fit. MnCo 2 O 4 (cubic, space group Fd-3m (NO.227), Z = 8) a = b = c (Å) 8.1440(20) 8.1440(20) 8.1440(20) α, β, γ( ) 90 90 90 Atom Site x y z B (Å 2 ) Mn 8b 0.3750 0.3750 0.3750 3.34(17) Co 16c 0.0000 0.0000 0.0000 2.84(15) O 32e 0.2446(4) 0.2446(4) 0.2446(4) 2.37(21) Shortest Mn-Mn: 3.5265(1) Å Shortest Co-Co: 2.8793(1) Å Shortest Mn-Co: 3.3763(1) Å Shortest Mn-O: 1.8384(1) Å Shortest Co-O: 1.9930(1) Å R B = 2.70, R F = 2.66, and χ 2 = 2.39 S16

Table S7. Refined room temperature structural parameters of NiCo 2 O 4 as well as the calculated shortest bond lengths (Å) and the goodness of fit. NiCo 2 O 4 (cubic, space group Fd-3m (NO.227), Z = 8) a = b = c (Å) 8.1207(10) 8.1207(10) 8.1207(10) α, β, γ( ) 90 90 90 Atom Site x y z B (Å 2 ) Ni 8b 0.3750 0.3750 0.3750 4.43(9) Co 16c 0.0000 0.0000 0.0000 3.06(6) O 32e 0.2442(4) 0.2442(4) 0.2442(4) 1.93(6) Shortest Ni-Ni: 3.5165(1) Å Shortest Co-Co: 2.8712(1) Å Shortest Ni-Co: 3.3668(1) Å Shortest Ni-O: 1.8398(1) Å Shortest Co-O: 1.9943(1) Å R B = 5.1, R F = 5.78, and χ 2 = 2.39 S17

Table S8. Refined room temperature structural parameters of CuCo 2 O 4 as well as the calculated shortest bond lengths (Å) and the goodness of fit. CuCo 2 O 4 (cubic, space group Fd-3m (NO.227), Z = 8) a = b = c (Å) 8.0731(10) 8.0731(10) 8.0731(10) α, β, γ( ) 90 90 90 Atom Site x y z B (Å 2 ) Cu 8b 0.3750 0.3750 0.3750 3.23(19) Co 16c 0.0000 0.0000 0.0000 1.57(15) O 32e 0.2422(4) 0.2422(3) 0.2422(3) 2.25(25) Shortest Cu-Cu: 3.4958(1) Å Shortest Co-Co: 2.8543(1) Å Shortest Cu-Co: 3.3469(1) Å Shortest Cu-O: 1.8555(1) Å Shortest Co-O: 1.9581(1) Å R B = 8.54, R F = 6.95, and χ 2 = 2.76 S18

Table S9. Refined room temperature structural parameters of Co 3 O 4 as well as the calculated shortest bond lengths (Å) and the goodness of fit. Co 3 O 4 (cubic, space group Fd-3m (NO.227), Z = 8) a = b = c (Å) 8.0994(7) 8.0994(7) 8.0994(7) α, β, γ( ) 90 90 90 Atom Site x y z B (Å 2 ) Co1 8b 0.3750 0.3750 0.3750 2.65(8) Co2 16c 0.0000 0.0000 0.0000 1.97(5) O 32e 0.2378(1) 0.2378(1) 0.2378(1) 1.76(12) Shortest Co1-Co1: 3.5071(1) Å Shortest Co2-Co2: 2.8636(1) Å Shortest Co1-Co2: 3.3578(1) Å Shortest Co1-O: 1.9247(1) Å Shortest Co2-O: 1.9311(1) Å R B =4.56, R F = 4.07, and χ 2 = 2.93 S19

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