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Electronic Supplementary Material (ESI) for Energy & Environmental Science. This journal is The Royal Society of Chemistry 2015 Electronic Supporting Information Extracting Large photovoltages from a-sic Photocathodes with an Amorphous TiO 2 Front Surface Field Layer for Solar Hydrogen Evolution Ibadillah A. Digdaya, a Lihao Han, b Thom W. F. Buijs, b Miro Zeman, b Bernard Dam, a Arno H. M. Smets b and Wilson A. Smith. a *

1 Electrochemical Impedance Spectroscopy 1.1 a-sic photocathodes The flat band potential (V fb ) and the acceptor concentration (N A ) of the (p/i) a-sic photocathode was characterized by the electrochemical impedance spectroscopy (EIS) and was estimated using the Mott-Schottky relationship 1 : 1 C = 2 2 ε SC 0 ε r en A ( V V fb kt e ) Eq. 1 In this equation, C SC is the space charge capacitance density, ε 0 is the vacuum permittivity, ε r is the relative permittivity of a-sic (14) 2, e is the electron the charge, A is the active surface area (0.283 cm 2 ), k is the Boltzmann s constant and T is the temperature (298). Figure 1 shows the Mott-Schottky plot of the (p/i) a-sic at chosen frequency 0.5 khz. Figure S1 Mott-Schottky plot of the (p/i) a-sic at 5 khz taken in the dark. The V fb can be obtained from intercept between the extrapolated linear line and x-axis of the Mott-Schottky plot, which is estimated to be ~0.98 V vs. RHE. Using the Eq. 1 the N A of the

is approximated to be 9.69 10 17 cm -3. The valence band edge E V position can be determined using the following relationship: E F E V = kt e ln ( N A N V ) Eq. 2 The density of valance band states (N V ) can be obtained using the following equation: N V = 2( 2πm h kt h 2 )3/2 Eq. 3 where the effective mass of hole (m h* ) of 0.3m 0 is assumed to be the same to that c-si 3. Using the above formula, the N V is calculated to be 4.08 10 18 cm -3. This suggests that the Fermi level is positioned at 36.94 mv above the valence band edge. 1.2 TiO 2 Figure S2 Mott-Schottky plots of TiO 2 films deposited onto FTO glass substrate at various temperatures measured at a frequency of 500 Hz. The intersection of the extrapolated linear line with the x-axis represents the V fb and the difference in slopes reflects the variation in the donor density. All measurements were performed in 0.5 M potassium hydrogen phthalate (ph 4) electrolyte solution. The donor density (N D ), the effective mass of density of states in the conduction band (N C ) and the position of the Fermi level relative to the conduction band of TiO 2 (E CB E F )were calculated using the equations in the main paper and are summarized in Table S1. Table S1 The electronic properties of TiO 2 as obtained from the Mott-Schottky results.

n-type E fb (V/RHE) N C (cm 3 ) N D (cm 3 ) E CB E F (mv) TiO 2 (120 C) 0.06 7.86 10 20 1.30 10 20 46.12 TiO 2 (150 C) 0.11 7.86 10 20 1.56 10 20 41.44 TiO 2 (170 C) 0.15 7.86 10 20 1.96 10 20 35.71 TiO 2 (200 C) 0.2 7.86 10 20 2.61 10 20 28.32 From Table S1, it is apparent that TiO 2 deposited at different temperatures do not show significant variations of V fb and N D. Seger et al. reported that TiO 2 still allowed effective electron transport in the conduction even with low electron density (10 17 ) 4. Since our ALD TiO 2 already show very high electron density, no further attempt to increase the deposition temperature nor vacuum annealing to improve the conductivity of the film. 2 Optical band gap Figure S3 Tauc plot of the a-sic based on the refractive indices (n & k) measured using the spectroscopy ellipsometry. The interception between the extrapolated linear line and the x-axis represents the direct optical band gap. The band gap of a-sic and TiO 2 are 2 ev and 3.25 ev, respectively. 3 Solar photocurrent & irradiance spectra The solar photocurrent is obtained by the multiplication of the IPCE spectrum with the spectral irradiance 5 of the ASTM AM1.5G 6 (1000W/m 2 ): I(λ) = IPCE E(λ) λ e/hc Eq. 4

where I(λ) is the solar photocurrent spectrum, E(λ) is the spectral irradiance of the ASTM AM1.5G, h is the Planck s constant and c is the speed of light in vacuum. The total photocurrent of the photocathode under ASTM AM1.5G illumination is obtained by the integration over the spectrum: j ASTM AM1.5G = I(λ)d(λ) Eq. 5 Figure S4 Solar photocurrent spectra of the (p/i) a-sic (green solid line) and the (p/i) a-sic/(n) TiO 2 (solid blue line) photocathodes at 0 V vs. RHE and the integrated photocurrent of the corresponding photocathodes (dash lines) at the same wavelengths. Using Eq. 5 the solar photocurrent of the (p/i) a-sic and the (p/i) a-sic/(n) TiO 2 photocathodes can be calculated, that are 1.72 ma cm 2 and 10.96 ma cm 2, respectively.

Figure S5 Irradiance spectra of the solar simulator Xe lamp used for j-v measurements (red line) and the ASTM AM1.5G (black line).

4 j-v characteristics Figure S6 Illumintaed j-v characteristics of the Ni-Mo coated (p/i) a-sic photocathode before (green line) and after stability (purple line) test and after Ni-Mo redeposition (red dash line) measured in a 0.5 M potassium hydrogen phthalate electrolyte at ph 4. Figure S7 dark j-v characteristics of the FTO coated by TiO 2 and TiO 2 /Ni-Mo in potassium hydrogen phthalate solution at ph 4. The TiO 2 was deposited at 150 C. The FTO/Ni-Mo/TiO 2 shows nearly zero overpotential for hydrogen evolution reaction as indicated by the V onset of 0 V vs. RHE.

5 SEM image and photograph Figure S8 Cross-sectional SEM image of the (p/i) a-sic/(n) TiO 2, showing the approximate thickness of the film. Figure S9 Photograph of the (p/i) a-sic and the (p/i) a-sic/(n) TiO 2 samples.

a b Figure S10 a) Top-view SEM image of the (p/i) a-sic/(n) TiO 2 and b) the magnification of Figure S10a a b Figure S11 a) Top-view SEM image of the (p/i) a-sic/(n) TiO 2 /Ni-Mo and b) the magnification of Figure S11a

Figure S12 Top-view SEM image of the (p/i) a-sic/(n) TiO 2 /Ni-Mo after chronoamperometry measurement for 12 hours. References 1. K. Gelderman, L. Lee and S. W. Donne, Journal of Chemical Education, 2007, 84, 685. 2. D. Brassard and M. a. El Khakani, Journal of Applied Physics, 2003, 93, 4066. 3. M. W. M. van Cleef, R. E. I. Schropp and F. a. Rubinelli, Applied Physics Letters, 1998, 73, 2609. 4. B. Seger, T. Pedersen, A. B. Laursen, P. C. K. Vesborg, O. Hansen and I. Chorkendorff, Journal of the American Chemical Society, 2013, 135, 1057 64. 5. A. Kay, I. Cesar and M. Grätzel, Journal of the American Chemical Society, 2006, 128, 15714 21. 6. American Society for Testing and Materials (ASTM), http://rredc.nrel.gov/solar/spectra/am1.5/.