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Electronic Supplementary Material (ESI) for Sustainable Energy & Fuels. This journal is The Royal Society of Chemistry 2018 Electronic Supplementary Information Proton coupled electron transfer from Co 3 O 4 nanoparticles to photogenerated Ru(bpy) 3 3+ : base catalysis and buffer effect. Giulia Alice Volpato, a Alessandro Bonetto, b Antonio Marcomini, b Pierre Mialane, c Marcella Bonchio, a Mirco Natali* d and Andrea Sartorel* a a. Department of Chemical Sciences University of Padova and Institute on Membrane Technology, Unit of Padova, via F. Marzolo 1, Padova, 35131, Italy. b. Dept. Environmental Sciences, Informatics and Statistics, University Ca' Foscari Venice, Vegapark, Via delle Industrie 21/8, 30175 Marghera, Venice, Italy. c. Institut Lavoisier de Versailles, UMR 8180, Université Paris-Saclay, Université de Versailles Saint-Quentin en Yvelines, 45 Avenue des Etats-Unis Versailles cedex, 78035, France. d. Department of Chemical and Pharmaceutical Sciences, University of Ferrara, Via L. Borsari 46, Ferrara, 44121, Italy.

Figure S1. Transmission Electron Microscopy image of cubic Co 3 O 4 NPs. Average NP size: 5±1 nm. Figure S2. Powder X-ray diffraction pattern of Co 3 O 4 NPs: cubic spinel structure, F d -3 m space group. Source: Co Kα 1 (λ = 1.788965 Å).

OD @ 450 nm Figure S3. Cyclic voltammetry for Co 3 O 4 NPs deposited onto glassy carbon, performed at ph 8 in different buffers. Working electrode: Glassy carbon (0.07 cm 2 ); counter electrode: Pt (0.02 cm 2 ); reference electrode: Ag/AgCl (3M NaCl); scan rate: 100 mv/s. Figure S4. ATR-IR of Co 3 O 4 NPs. 0.0-0.1-0.2 0.00 0.01 0.02 0.03 0.04 0.05 Figure S5. Laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M CoFe 2 O 4 NPs in 10 mm borate buffer at ph 8.

k 0 (s -1 ) k obs (s -1 ) OD @450 nm (a) 0.05 0.00-0.05-0.10 4 mm 10 mm 20 mm 30 mm 40 mm -0.15-0.20 (b) 18 16 14 12 10 8 6 4 2 0.00 0.02 0.04 0.06 0.08 pd 8.6 0 0.000 0.004 0.008 0.012 0.016 0.020 [Base] (M) Figure S6. (a) Laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M Co 3 O 4 NPs in 4-30 mm borate buffer at pd 8.6. (b) plot of k obs vs [Base]. 18 16 14 12 10 8 6 4 2 0 0 5 10 15 20 25 30 35 [OH - ] ( M) Figure S7. Plot of k 0 vs [OH - ]. See table 1 in the main text for k 0 values, determined from flash photolysis experiments in borate buffer, ph 8.0 9.5.

k obs (s -1 ) OD @450 nm OD @450 nm (a) (b) 0.05 0.00-0.05-0.10-0.15-0.20-0.25 0.05 0.00-0.05-0.10-0.15-0.20-0.25 1 mm 2.5 mm 5 mm 7.5 mm 10 mm 0.00 0.02 0.04 0.06 0.08 1 mm 2.5 mm 5 mm 7.5 mm 10 mm 0.00 0.02 0.04 0.06 0.08 (c) 30 ph 8.0 ph 8.9 25 20 15 10 5 0 0.000 0.002 0.004 0.006 0.008 0.010 [Base] (M) Figure S8. (a) laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M Co 3 O 4 NPs in 1-10 mm phosphate buffer at ph 8.0. (b) Laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M Co 3 O 4 NPs in 1-10 mm phosphate buffer at ph 8.9. (c) Plot of k obs vs [Base].

OD @ 450 nm 0.05 0.00-0.05-0.10-0.15-0.20-0.25 5 mm 25 mm 50 mm 100 mm -0.01 0.00 0.01 0.02 0.03 0.04 0.05 Figure S9. Laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M Co 3 O 4 NPs at ph 8.0, in 5-100 mm carbonate buffer.

OD @450 nm OD @450 nm OD @450 nm (a) 0.05 0.00-0.05 40 mm 100 mm 200 mm 400 mm -0.10-0.15 (b) -0.20 0.05 0.00-0.05 0.00 0.02 0.04 0.06 0.08 40 mm 100 mm 200 mm 400 mm -0.10-0.15 (c) -0.20 0.05 0.00 0.02 0.04 0.06 0.08 0.00-0.05-0.10-0.15-0.20 0.00 0.02 0.04 0.06 0.08 40 mm 100 mm 200 mm 400 mm Figure S10. Laser flash photolysis ( exc = 355 nm) of 50 M Ru(bpy) 3 2+ in the presence of 5 mm Na 2 S 2 O 8 and 100 M Co 3 O 4 NPs at: (a) ph 8.0, in 40-400 mm borate buffer; (b) ph 8.5, in 40-400 mm borate buffer; (c) ph 8.9, in 40-400 mm borate buffer.

Table S1. Ru(III) lifetime ( and associated kinetic rate constants (k) for the flash photolysis experiments conducted at different ph and borate buffer concentration. For the sake of comparison, (and derived k values) are reported from: (i) experimentally determination at half recovery of the OD 450 in the experimental traces (values used in the discussion in the main text) and (ii) from mono or bi-exponential fittings. Bi-exponential fittings converged into a monoexponential fitting, unless in the cases indicated by footnote (b). Uncertainty in the values determined at the half recovery of the OD traces is estimated as 10 or 15% of the value; uncertainty in the values determined by exponential fitting is provided by the fitting (see traces below). Determined at the half recovery of the Determined from exponential fittings OD traces buffer (s) k obs (s -1 ) (s) k obs (s -1 ) Borate, ph 8 4 mm 0.254±0.038 (a) 2.73±0.41 0.284±0.004 2.44±0.04 10 mm 0.186±0.028 (a) 3.72±0.56 0.217±0.003 3.19±0.04 20 mm 0.147±0.022 (a) 4.71±0.71 0.163±0.002 4.25±0.05 30 mm 0.160±0.024 4.33±0.65 0.183±0.003 3.79±0.06 40 mm 0.151±0.023 4.59±0.69 0.162±0.002 4.28±0.05 100 mm 0.218±0.033 3.18±0.48 0.244±0.004 2.84±0.05 200 mm 1.280±0.190 0.54±0.08 - - 400 mm - - - - Borate, ph 8.5 4 mm 0.191±0.029 (a) 3.63±0.54 0.222±0.004 3.12±0.04 10 mm 0.121±0.018 (a) 5.73±0.86 0.131±0.002 5.29±0.05 20 mm 0.083±0.012 8.35±1.25 0.082±0.001 8.45±0.10 30 mm 0.066±0.010 10.5±1.6 0.073±0.001 9.49±0.13 40 mm 0.059±0.009 11.7±1.8 0.070±0.001 9.90±0.13 100 mm 0.065±0.009 10.7±1.6 0.072±0.001 9.63±0.13 200 mm 0.184±0.028 3.77±0.56 0.217±0.004 3.19±0.06 400 mm 0.326±0.049 2.12±0.32 0.372±0.006 1.86±0.03 Borate, ph 8.9 4 mm 0.058±0.006 11.9±1.2 0.0621±0.0006 11.16±0.11 10 mm 0.053±0.005 13.1±1.3 0.0558±0.0005 (b) 12.42±0.11 20 mm 0.034±0.003 20.4±2.0 0.0390±0.0004 (b) 17.77±0.20 30 mm 0.026±0.003 26.7±2.7 0.0413±0.0004 (b) 16.78±0.17 40 mm 0.020±0.002 34.7±3.5 0.0341±0.0004 (b) 20.32±0.18 100 mm 0.016±0.002 43.3±4.3 0.0284±0.0003 (b) 24.41±0.23 200 mm 0.020±0.002 35.0±3.5 0.054±0.001 (b) 12.83±0.22 400 mm 0.023±0.002 30.1±3.0 0.074±0.001 (b) 9.37±0.13 Borate, ph 9.5 4 mm 0.037±0.004 18.7±1.9 0.0295±0.0002 23.41±0.16 10 mm 0.033±0.003 21.0±2.1 0.0266±0.0002 26.06±0.20 20 mm 0.022±0.002 30.9±3.1 0.0192±0.0002 36.10±0.38 30 mm 0.020±0.002 33.6±3.4 0.0166±0.0002 41.76±0.51 40 mm 0.017±0.002 40.8±4.1 0.0133±0.0002 52.12±0.76 100 mm 0.012±0.001 58.8±5.9 0.0100±0.0001 69.31±0.69 200 mm 0.029±0.003 23.5±2.3 0.0333±0.0002 20.81±0.12 400 mm 0.040±0.004 17.3±1.7 0.0919±0.001 7.54±0.58 (a) determined from a linear fitting of the traces; (b) determined from a weighted average of the two values from a bi-exponential fitting.

k obs (s -1 ) Table S2. Kinetic rate constants for PCET from Co 3 O 4 NPs to Ru(III)(bpy) 3 3+ in flash photolysis experiments in borate buffer, determined from: (i) experimentally determination at half recovery of the OD 450 in the experimental traces (values used in the discussion in the main text) and (ii) from mono or bi-exponential fittings, see Table S1. Determined plotting k obs (determined at the half recovery of the OD traces) Determined plotting k obs (from exponential fittings) ph k 0 (s -1 ) k B /100 (M -1 s -1 ) k 0 (s -1 ) k B /100 (M -1 s -1 ) 8.0 2.3±0.2 6.3±0.9 2.0 0.1 5.6 0.3 8.5 2.6±0.2 6.3±0.5 2.6 0.8 5.7 0.9 8.9 8.8±0.5 8.5±1.2 10.4 2.0 4.0 1.8 9.5 15.9±1.1 7.0±0.7 19.0 1.0 8.8 0.4 50 40 30 20 10 0 0.00 0.01 0.02 0.03 0.04 [Base] (M) Figure S11. Plot of k obs (from exponential fittings) vs. [Base], where Base is B(OH) 4 -, and the concentrations are given by [Base]=f B [buffer], where f B is the fraction of the basic form of the buffer in solution, and [buffer] is the total buffer concentration; pk a for the H 3 BO 3 /B(OH) 4 - couple = 8.6.

4 mm borate, ph 8 Fit of Sheet1 B"" Reduced Chi-S 3,9969E-5 Adj. R-Square 0,69357 A1 6881 2,86762E-4 t1 0,40989 0577 k 2,43967 3435 tau 0,28412 04 10 mm borate, ph 8 Fit of Sheet1 C"" Reduced Chi-S 4,37123E-5 Adj. R-Square 0,72317 A1 5004 3,08372E-4 t1 0,3135 0414 k 3,18983 4217 tau 0,2173 0287 20 mm borate, ph 8 Fit of Sheet1 D"" Reduced Chi-S 4,56054E-5 Adj. R-Square 0,78874 A1 4364 3,1972E-4 t1 0,23584 0261 k 4,24016 4696 tau 0,16347 0181

4 2 0-2 -4-6 -8 0 2 4 6 Reduced Chi-S 30 mm borate ph 8 Fit of Sheet1 E"" 5,23645E-5 Adj. R-Square 0,71957 Value Standard Error A1 402 3,38459E-4 t1 0,26481 0353 k 3,77634 5041 tau 0,18355 0245 8 40 mm borate ph 8 Fit of Sheet1 F"" Reduced Chi-S 4,82491E-5 Adj. R-Square 0,75096 A1 3136 3,27574E-4 t1 0,23335 0287 k 4,28539 5278 tau 0,16175 0199 100 mm borate ph 8 Fit of Sheet1 G"" Reduced Chi-S 5,16069E-5 Adj. R-Square 0,57608 A1 3058 3,32593E-4 t1 0,35215 0643 k 2,83972 5182 tau 0,24409 0445

4 2 0-2 200 mm borate ph 8-4 -6-8 0 2 4 6 4 2 0 400 mm borate ph 8-2 -4-6 -8 0 2 4 6 4 mm borate ph 8.5 Fit of Sheet1 B"" Reduced Chi-S 4,62426E-5 Adj. R-Square 0,72847 A1 585 3,14215E-4 t1 0,31987 0416 k 3,1263 4064 tau 0,22172 0288

10 mm borate ph 8.5 Fit of Sheet1 C"" Reduced Chi-S 4,74166E-5 Adj. R-Square 0,8311 A1 4182 3,35063E-4 t1 0,18953 0183 k 5,27611 5104 tau 0,13137 0127 2 0-2 20 mm borate ph 8.5 Fit of Sheet1 D"" -4-6 -8 0 2 4 6 Reduced Chi-S 5,07253E-5 Adj. R-Square 0,87981 A1 2716 3,70707E-4 t1 0,11789 9,52144E-4 k 8,48216 685 tau 8172 6,59976E-4 8 30 mm borate ph 8.5 Fit of Sheet1 E"" Reduced Chi-S 6,10146E-5 Adj. R-Square 0,8782 A1 2741 4,1147E-4 t1 0,10482 8,60556E-4 k 9,54016 7832 tau 7266 5,96492E-4

40 mm borate ph 8.5 Fit of Sheet1 F"" Reduced Chi-S 5,87041E-5 Adj. R-Square 0,88211 A1 2434 4,05982E-4 t1 0,10071 8,1276E-4 k 9,92919 8013 tau 6981 5,63362E-4 4 2 0-2 100 mm borate ph 8.5 Fit of Sheet1 G"" -4-6 -8 0 2 4 6 Reduced Chi-S 5,7603E-5 Adj. R-Square 0,86432 A1 1587 4,00387E-4 t1 0,10369 9,03847E-4 k 9,64404 8406 tau 7187 6,26499E-4 4 2 0 200 mm borate ph 8.5 Fit of Sheet1 H"" -2-4 -6-8 0 2 4 Reduced Chi-S 5,36572E-5 Adj. R-Square 0,51498 A1 0682 3,41395E-4 t1 0,31335 0643 k 3,19127 6547 tau 0,2172 0446

4 2 0-2 -4-6 -8 0 2 4 Reduced Chi-S 400 mm borate ph 8.5 Fit of Sheet1 I"" 6,09919E-5 Adj. R-Square 0,26749 Value Standard Error A1 0786 3,52682E-4 t1 0,53634 1869 k 1,86451 6496 tau 0,37176 1295 6 4 mm borate ph 8.9 ExpGro1 Fit of Sheet1 B"" ExpGro1 y = A1*exp(x/t1) + y0 Reduced Chi-S 5,23739E-5 Adj. R-Square 0,94858 A1 7125 3,93145E-4 t1-8967 4,69435E-4 k -11,15259 5839 tau -6215 3,25387E-4 10 mm borate ph 8.9 ExpDec2 Fit of Sheet1 C"" ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0 Reduced Chi-S 4,89018E-5 Adj. R-Square 0,91415 A1-2922 0327 t1 03 4,15718E-4 A2 2658 5,75532E-4 t2 9838 9,36789E-4 k1 333,50168 46,23753 k2 10,16511 968 tau1 0208 2,88154E-4 tau2 6819 6,49332E-4

20 mm borate ph 8.9 ExpDec2 Fit of Sheet1 D"" ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0 Reduced Chi-S 5,19071E-5 Adj. R-Square 0,91834 A1-3454 0392 t1 02 2,72105E-4 A2 1438 5,62273E-4 t2 7259 6,29749E-4 k1 499,76086 67,96124 k2 13,77615 0,11952 tau1 0139 1,88609E-4 tau2 5032 4,36509E-4 30 mm borate ph 8.9 ExpDec2 Fit of Sheet1 E"" ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0 Reduced Chi-S 5,62441E-5 Adj. R-Square 0,90167 A1-3088 0161 t1 0585 6,13479E-4 A2-9903 0106 t2 7641 0122 k1 171,00344 17,93948 k2 13,08791 0,20869 tau1 0405 4,25232E-4 tau2 5296 8,44485E-4 40 mm borate ph 8.9 ExpDec2 Fit of Sheet1 F"" ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0 Reduced Chi-S 5,95848E-5 Adj. R-Square 0,90466 A1-9837 0106 t1 6188 8,83135E-4 A2-279 0186 t2 0488 6,17857E-4 k1 16,16086 0,23065 k2 204,91393 25,94364 tau1 4289 6,12143E-4 tau2 0338 4,28266E-4

4 2 0 100 mm borate ph 8.9 ExpDec2 Fit of Sheet1 G"" -2-4 -6 ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0-8 0 2 4 6 Reduced Chi-S 6,2711E-5 Adj. R-Square 0,88875 A1-7001 0284 t1 5815 0224 A2-3855 0254 t2 0995 0106 k1 17,19687 0,66285 k2 100,49437 10,68383 tau1 4031 0155 tau2 069 7,33278E-4 2 0-2 200 mm borate ph 8.9 ExpDec2 Fit of Sheet1 H"" -4-6 ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0-8 0 2 4 Reduced Chi-S 6,11535E-5 Adj. R-Square 0,78676 A1-4212 0149 t1 0558 3,89855E-4 A2-6706 8,3447E-4 t2 0,1238 0354 k1 179,12392 12,50864 k2 8,0774 0,23065 tau1 0387 2,70227E-4 tau2 8581 0245 4 2 0 400 mm borate ph 8.9 ExpDec2 Fit of Sheet1 I"" -2-4 -6-8 0 2 ExpDec2 y = A1*exp(-x/t1) + A2*exp(-x/t2) + y0 Reduced Chi-S 5,87994E-5 Adj. R-Square 0,74435 A1-4017 0134 t1 068 4,71857E-4 A2-6266 8,77146E-4 t2 0,17043 07 k1 147,02239 10,19946 k2 5,86761 0,24115 tau1 0471 3,27066E-4 tau2 0,11813 0486

5 0 4 mm borate ph 9.5 Fit of Sheet1 B"" -5 0 5 0 5 Reduced Chi-S 1,73642E-4 Adj. R-Square 0,95258 A1 3387 8,84248E-4 t1 426 2,49911E-4 k 23,47244 0,13769 tau 2953 1,73225E-4 10 mm borate ph 9.5 Fit of Sheet1 C"" Reduced Chi-S 1,3262E-4 Adj. R-Square 0,9596 A1 1862 8,07509E-4 t1 3837 2,12613E-4 k 26,06048 0,1444 tau 266 1,47372E-4 5 20 mm borate ph 9.5 Fit of Sheet1 D"" 0-5 0 5 0 5 Reduced Chi-S 1,32554E-4 Adj. R-Square 0,95578 A1 0243 9,35192E-4 t1 2774 1,80451E-4 k 36,0445 0,23444 tau 1923 1,25079E-4

5 30 mm borate ph 9.5 Fit of Sheet1 E"" 0-5 0 5 0 Reduced Chi-S 1,44667E-4 Adj. R-Square 0,95403 A1 0859 0105 t1 2389 1,67115E-4 k 41,85517 0,29276 tau 1656 1,15835E-4 5 5 40 mm borate ph 9.5 Fit of Sheet1 F"" 0-5 0 5 0 5 Reduced Chi-S 1,97042E-4 Adj. R-Square 0,93819 A1 1369 0144 t1 1927 1,73911E-4 k 51,88786 0,46823 tau 1336 1,20546E-4 5 100 mm borate ph 9.5 Fit of Sheet1 G"" 0-5 0 5 0 Reduced Chi-S 1,38376E-4 Adj. R-Square 0,93582 A1 929 0144 t1 1442 1,41735E-4 k 69,32533 0,68118 tau 1 9,82432E-5 5

200 mm borate ph 9.5 Fit of Sheet1 H"" Reduced Chi-S 6,87994E-5 Adj. R-Square 0,94701 A1 4806 5,43888E-4 t1 4813 2,83892E-4 k 20,77617 0,12254 tau 3336 1,96779E-4 400 mm borate ph 9.5 Fit of Sheet1 I"" Reduced Chi-S 9,44334E-5 Adj. R-Square 0,68027 Value Standard Error A1 0427 4,96901E-4 t1 0,1326 0192 k 7,54159 0,10916 tau 9191 0133