Abstract
The slow charge reactions at the semiconductor surface severely encumber the photocatalysis applications, which are elusive and complicated in a serial charge excitation-separation-reaction process. Both experimental and theoretical studies are essential in this area. Here, a classical numerical calculation of the charge reaction microkinetic is developed based on a simple consecutive charge separation and reaction model, a conservation law of photogenerated charges, and differential analysis. Several reaction conditions have been discussed to elucidate how a fast charge separation and reaction rate constant influence the apparent reaction kinetics. It is shown that a slower charge separation rate strongly limits the detection of higher-order reaction rates, and higher-order kinetics can be detected with all other processes faster than the reactions. This numerical calculation projects the possible limitations of kinetics study by transient techniques.
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Data Availability
The datasets generated during and/or analysed during the current study are not publicly available due financial support, but are available from the corresponding author on reasonable request.
References
Byrne C, Subramanian G, Pillai SC (2018) Recent advances in photocatalysis for environmental applications. J Environ Chem Eng 6:3531–3555
Yang X, Wang D (2018) Photocatalysis: from fundamental principles to materials and applications. ACS Appl Energy Mater 1:6657–6693
Walter MG, Warren EL, McKone JR, Boettcher SW, Mi Q, Santori EA, Lewis NS (2010) Solar water splitting cells. Chem Rev 110:6446–6473
Wang Z, Li C, Domen K (2019) Recent developments in heterogeneous photocatalysts for solar-driven overall water splitting. Chem Soc Rev 48:2109–2125
Wang Q, Domen K (2020) Particulate photocatalysts for light-driven water splitting: mechanisms, challenges, and design strategies. Chem Rev 120:919–985
Tilley SD (2019) Recent advances and emerging trends in photo-electrochemical solar energy conversion. Adv Energy Mater 9:1802877
Govind Rajan A, Martirez JMP, Carter EA (2020) Why do we use the materials and operating conditions we use for heterogeneous (photo)electrochemical water splitting? ACS Catal 10:11177–11234
Naldoni A, Altomare M, Zoppellaro G, Liu N, Kment S, Zboril R, Schmuki P (2019) Photocatalysis with reduced TiO2: From black TiO2 to cocatalyst-free hydrogen production. ACS Catal 9:345–364
Jang YJ, Lee JS (2019) Photoelectrochemical water splitting with p-type metal oxide semiconductor photocathodes. Chemsuschem 12:1835–1845
Hou HL, Zeng XK, Zhang XW (2020) Production of hydrogen peroxide by photocatalytic processes. Angew Chem, Int Ed 59:17356–17376
Serpone N, Emeline AV, Ryabchuk VK, Kuznetsov VN, Artem’ev YM, Horikoshi S (2016) Why do hydrogen and oxygen yields from semiconductor-based photocatalyzed water splitting remain disappointingly low? Intrinsic and extrinsic factors impacting surface redox reactions. ACS Energy Lett 1:931–948
Takata T, Jiang J, Sakata Y, Nakabayashi M, Shibata N, Nandal V, Seki K, Hisatomi T, Domen K (2020) Photocatalytic water splitting with a quantum efficiency of almost unity. Nature 581:411–414
Jiang C, Moniz SJA, Wang A, Zhang T, Tang J (2017) Photoelectrochemical devices for solar water splitting – materials and challenges. Chem Soc Rev 46:4645–4660
Wu F, Yu YH, Yang H, German LN, Li ZQ, Chen JG, Yang WG, Huang L, Shi WM, Wang LJ, Wang XD (2017) Simultaneous enhancement of charge separation and hole transportation in a TiO2-SrTiO3 core-shell nanowire photoelectrochemical system. Adv Mater 29:1701432
Qian HX, Liu ZF, Zhang B, Li JW, Ya J (2021) Optimized the carrier transport path and separation efficiency of 2D/2D heterojunction in photoelectrochemical water splitting. ChemCatChem 13:1940–1950
Zhang P, Wang T, Gong JL (2018) Current mechanistic understanding of surface reactions over water-splitting photocatalysts. Chem 4:223–245
Kanakaraju D, Glass BD, Oelgemoller M (2018) Advanced oxidation process-mediated removal of pharmaceuticals from water: a review. J Environ Manage 219:189–207
Matafonova G, Batoev V (2018) Recent advances in application of uv light-emitting diodes for degrading organic pollutants in water through advanced oxidation processes: a review. Water Res 132:177–189
Ganguly P, Byrne C, Breen A, Pillai SC (2018) Antimicrobial activity of photocatalysts: fundamentals, mechanisms, kinetics and recent advances. Appl Catal, B 225:51–75
Mei B, Han K, Mul G (2018) Driving surface redox reactions in heterogeneous photocatalysis: the active state of illuminated semiconductor-supported nanoparticles during overall water-splitting. ACS Catal 8:9154–9164
Zhang L, Mohamed HH, Dillert R, Bahnemann D (2012) Kinetics and mechanisms of charge transfer processes in photocatalytic systems: a review. J Photochem Photobiol, C 13:263–276
Montoya JH, Seitz LC, Chakthranont P, Vojvodic A, Jaramillo TF, Nørskov JK (2016) Materials for solar fuels and chemicals. Nat Mater 16:70
Seh ZW, Kibsgaard J, Dickens CF, Chorkendorff I, Nørskov JK, Jaramillo TF (2017) Combining theory and experiment in electrocatalysis: Insights into materials design. Science. https://doi.org/10.1126/science.aad4998
Martirez JMP, Carter EA (2019) Unraveling oxygen evolution on iron-doped β-nickel oxyhydroxide: the key role of highly active molecular-like sites. J Am Chem Soc 141:693–705
Zhou D, Chen L, Li J, Wu F (2018) Transition metal catalyzed sulfite auto-oxidation systems for oxidative decontamination in waters: a state-of-the-art minireview. Chem Eng J 346:726–738
Zhang K, Liu Y, Deng J, Xie S, Lin H, Zhao X, Yang J, Han Z, Dai H (2017) Fe2O3/3DOM BiVO4: high-performance photocatalysts for the visible light-driven degradation of 4-nitrophenol. Appl Catal, B 202:569–579
Shao H, Zhao X, Wang Y, Mao R, Wang Y, Qiao M, Zhao S, Zhu Y (2017) Synergetic activation of peroxymonosulfate by Co3O4 modified g-C3N4 for enhanced degradation of diclofenac sodium under visible light irradiation. Appl Catal, B 218:810–818
Wang J, Xia Y, Zhao H, Wang G, Xiang L, Xu J, Komarneni S (2017) Oxygen defects-mediated Z-scheme charge separation in g-C3N4/ZnO photocatalysts for enhanced visible-light degradation of 4-chlorophenol and hydrogen evolution. Appl Catal, B 206:406–416
Mesa CA, Francàs L, Yang KR, Garrido-Barros P, Pastor E, Ma Y, Kafizas A, Rosser TE, Mayer MT, Reisner E, Grätzel M, Batista VS, Durrant JR (2020) Multihole water oxidation catalysis on haematite photoanodes revealed by operando spectroelectrochemistry and DFT. Nat Chem 12:82–89
Zhang Y, Zhang H, Liu A, Chen C, Song W, Zhao J (2018) Rate-limiting O–O bond formation pathways for water oxidation on hematite photoanode. J Am Chem Soc 140:3264–3269
Chatman S, Zarzycki P, Rosso KM (2015) Spontaneous water oxidation at hematite (α-Fe2O3) crystal faces. ACS Appl Mater Interfaces 7:1550–1559
Yang X, Zheng Z, Hu J, Qu J, Ma D, Li J, Guo C, Li CM (2021) Observation of 4th-order water oxidation kinetics by time-resolved photovoltage spectroscopy. IScience. https://doi.org/10.1016/j.isci.2021.103500
Li L, Yang X, Lei Y, Yu H, Yang Z, Zheng Z, Wang D (2018) Ultrathin Fe-NiO nanosheets as catalytic charge reservoirs for a planar mo-doped BiVO4 photoanode. Chem Sci 9:8860–8870
Righi G, Plescher J, Schmidt F-P, Campen RK, Fabris S, Knop-Gericke A, Schlögl R, Jones TE, Teschner D, Piccinin S (2022) On the origin of multihole oxygen evolution in haematite photoanodes. Nat Catal 5:888–899
Yang X, Wang Y, Li CM, Wang D (2021) Mechanisms of water oxidation on heterogeneous catalyst surfaces. Nano Res 14:3446–3457
Ma X, Shi Y, Liu J, Li X, Cui X, Tan S, Zhao J, Wang B (2022) Hydrogen-bond network promotes water splitting on the TiO2 surface. J Am Chem Soc 144:13565–13573
Han J, Liu Z (2021) Optimization and modulation strategies of zinc oxide-based photoanodes for highly efficient photoelectrochemical water splitting. ACS Appl Energy Mater 4:1004–1013
Cao G, Hu J, Qu J, Jin J, Yang X (2022) A numerical prediction of 4th-order kinetics for photocatalytic oxygen evolution reactions. Catal Lett. https://doi.org/10.1007/s10562-022-03959-8
Wang X, Hu J, Qu J, Cao G, Jin J, Yang X (2022) Chemical kinetics of parallel consuming processes for photogenerated charges at the semiconductor surfaces: a theoretical classical calculation. Catal Lett 152:2470–2479
Bard AJ, Faulkner LR (2000) Electrochemical methods: Fundamentals and applications, 2nd edn. John Wiley & Sons, Incorporated
Mayer MT, Lin Y, Yuan G, Wang D (2013) Forming heterojunctions at the nanoscale for improved photoelectrochemical water splitting by semiconductor materials: case studies on hematite. Acc Chem Res 46:1558–1566
Yang W, Prabhakar RR, Tan J, Tilley SD, Moon J (2019) Strategies for enhancing the photocurrent, photovoltage, and stability of photoelectrodes for photoelectrochemical water splitting. Chem Soc Rev 48:4979–5015
Schneider J, Matsuoka M, Takeuchi M, Zhang J, Horiuchi Y, Anpo M, Bahnemann DW (2014) Understanding TiO2 photocatalysis: mechanisms and materials. Chem Rev 114:9919–9986
Le Formal F, Pastor E, Tilley SD, Mesa CA, Pendlebury SR, Grätzel M, Durrant JR (2015) Rate law analysis of water oxidation on a hematite surface. J Am Chem Soc 137:6629–6637
Wheeler S, Deledalle F, Tokmoldin N, Kirchartz T, Nelson J, Durrant JR (2015) Influence of surface recombination on charge-carrier kinetics in organic bulk heterojunction solar cells with nickel oxide interlayers. Phys Rev Appl 4:024020
Wheeler S, Bryant D, Troughton J, Kirchartz T, Watson T, Nelson J, Durrant JR (2017) Transient optoelectronic analysis of the impact of material energetics and recombination kinetics on the open-circuit voltage of hybrid perovskite solar cells. J Phys Chem C 121:13496–13506
Azzouzi M, Calado P, Telford AM, Eisner F, Hou X, Kirchartz T, Barnes PRF, Nelson J (2020) Overcoming the limitations of transient photovoltage measurements for studying recombination in organic solar cells. Solar RRL 4:1900581
Bediako DK, Surendranath Y, Nocera DG (2013) Mechanistic studies of the oxygen evolution reaction mediated by a nickel-borate thin film electrocatalyst. J Am Chem Soc 135:3662–3674
Wu K, Zhu H, Liu Z, Rodríguez-Córdoba W, Lian T (2012) Ultrafast charge separation and long-lived charge separated state in photocatalytic CdS–Pt nanorod heterostructures. J Am Chem Soc 134:10337–10340
Fujishima A, Zhang X, Tryk DA (2008) TiO2 photocatalysis and related surface phenomena. Surf Sci Rep 63:515–582
Moir JW, Sackville EV, Hintermair U, Ozin GA (2016) Kinetics versus charge separation: Improving the activity of stoichiometric and non-stoichiometric hematite photoanodes using a molecular iridium water oxidation catalyst. J Phys Chem C 120:12999–13012
Atkins P, Paula Jd (2005) Atkins’ physical chemistry, 8th edn. W H Freeman and Company, New York
Szaciłowski K (2008) Digital information processing in molecular systems. Chem Rev 108:3481–3548
Forsythe RC, Cox CP, Wilsey MK, Müller AM (2021) Pulsed laser in liquids made nanomaterials for catalysis. Chem Rev 121:7568–7637
Mei W, Yang X, Li L, Tong Y, Lei Y, Li P, Zheng Z (2020) Rational electrochemical recycling of spent LiFePO4 and LiCoO2 batteries to Fe2O3/CoPi photoanodes for water oxidation. ACS Sustain Chem Eng 8:3606–3616
Acknowledgements
The fund for the research is obtained from the National Natural Science Foundation of China (Project. No. 22008163), the projects (20KJB150042 and 21KJB150038) from Natural Science Research Project of Higher Education Institutions in Jiangsu Province, the projects from Natural Science Foundation of Jiangsu Province (BK20210867 and BK20180103) and the University Startup. We thank Mr. Guangming Cao and Xinwei Wang for checking the equations.
Funding
Natural Science Foundation of Jiangsu Province, BK20180103, BK20210867, Natural Science Research Project of Higher Education Institutions in Jiangsu Province, 20KJB150042, 21KJB150038, National Natural Science Foundation of China, 22008163
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Deng, Z., Shu, Y., Gong, M. et al. Chemical Kinetics of Serial Processes for Photogenerated Charges at Semiconductor Surface: A Classical Theoretical Calculation. Catal Lett 153, 3750–3760 (2023). https://doi.org/10.1007/s10562-022-04267-x
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DOI: https://doi.org/10.1007/s10562-022-04267-x