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Extraction of mobile charge carrier photogeneration yield spectrum of ultrathin-film metal oxide photoanodes for solar water splitting

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Light absorption in strongly correlated electron materials can excite electrons and holes into a variety of different states. Some of these excitations yield mobile charge carriers, whereas others result in localized states that cannot contribute to photocurrent. The photogeneration yield spectrum, ξ(λ), represents the wavelength-dependent ratio between the contributing absorption that ultimately generates mobile charge carriers and the overall absorption. Despite being a vital material property, it is not trivial to characterize. Here, we present an empirical method to extract ξ(λ) through optical and external quantum efficiency measurements of ultrathin films. We applied this method to haematite photoanodes for water photo-oxidation, and observed that it is self-consistent for different illumination conditions and applied potentials. We found agreement between the extracted ξ(λ) spectrum and the photoconductivity spectrum measured by time-resolved microwave conductivity. These measurements revealed that mobile charge carrier generation increases with increasing energy across haematite’s absorption spectrum. Low-energy non-contributing absorption fundamentally limits the photoconversion efficiency of haematite photoanodes and provides an upper limit to the achievable photocurrent that is substantially lower than that predicted based solely on absorption above the bandgap. We extended our analysis to TiO2 and BiVO4 photoanodes, demonstrating the broader utility of the method for determining ξ(λ). Although the photogeneration yield spectrum is a key property for photoabsorbers in photovoltaic and photoelectrochemical cells, its characterization remains challenging. An empirical method to extract this parameter through quantum efficiency measurements of ultrathin films is proposed.
Comparison of TRMC and photoelectrochemical EQE analysis Comparison of the p¯ξλ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar p \xi \left( {\it{\lambda }} \right)$$\end{document} spectrum for an ultrathin 7-nm-thick haematite film photoanode with the ϕλ∑μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi \left( {\it{\lambda }} \right){\sum} \mu$$\end{document} spectrum extracted from TRMC measurements of a 150-nm-thick epitaxial haematite film deposited on sapphire. The ϕλ∑μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi \left( {\it{\lambda }} \right){\sum} \mu$$\end{document} spectrum was scaled to plot the data on the same y scale as p¯ξλ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar p \xi \left( {\it{\lambda }} \right)$$\end{document}. The data points for the TRMC measurements in Fig 3 represent an average of 300 measurements. The solid symbols correspond to measurements taken within an absorbed fluence range of (6–8) × 10¹³ photons per cm² per pulse. The open symbols correspond to measurements taken outside this fluence range. The error bars from the TRMC measurements are calculated based on uncertainty in the measured incident photon fluence and its effect on the measured photoconductivity. The error bars from the EQE measurements reflect the difference between the calculated p¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar p$$\end{document}ξ(λ) spectra for front and back illumination.
… 
Contributing and non-contributing components of the absorption spectra a–d, Absorption coefficient (α, black curve) and average contributing absorption coefficient (αC, orange curve) of a 7-nm-thick haematite film (a), estimate for a 150-nm-thick haematite film (described in the text; b), an 11-nm-thick TiO2 film (c) and an 11-nm-thick BiVO4 film (d). For the ultrathin-film cases in panels a, c and d, the contributing absorption coefficient values were estimated from the p¯ξλ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar p \xi \left( {\it{\lambda }} \right)$$\end{document} spectra extracted from EQE measurements by setting lower and upper limits (dotted lines), where the lower limit corresponds to p¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\bar p$$\end{document} = 1 and the upper limit corresponds to maximal ξ(λ) = 1. The orange and blue shading represent the contributing and non-contributing portions of the absorption spectrum, respectively, for the average estimate.The insets of a–d show the spectra of the non-contributing component, αNC, corresponding to the upper blue-shaded regions in the main figures, along with the upper and lower limits (dotted lines).
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Articles
https://doi.org/10.1038/s41563-021-00955-y
1Department of Materials Science and Engineering, Technion – Israel Institute of Technology, Haifa, Israel. 2Department of Materials Engineering and Ilse
Katz Institute for Nanoscale Science and Technology, Ben Gurion University of the Negev, Be’er Sheva, Israel. 3The Nancy & Stephen Grand Technion Energy
Program (GTEP), Technion – Israel Institute of Technology, Haifa, Israel. 4Institute for Solar Fuels, HelmholtzZentrum Berlin für Materialien und Energie,
Berlin, Germany. 5These authors contributed equally: Daniel A. Grave, David S. Ellis, Yifat Piekner. e-mail: dgrave@bgu.ac.il; avnerrot@technion.ac.il
At the heart of any semiconductor photoabsorber material in
photovoltaic and photoelectrochemical cells for solar energy
conversion is the ability to absorb light and thereby gener-
ate excess mobile charge carriers (electrons and holes) that give rise
to photocurrent and photovoltage1. Many photoabsorber materials
have intricate and complex electronic and optical properties, to the
effect that light can excite electrons and holes into a variety of dif-
ferent states. Although some of these optically excited states are or
can eventually become mobile charge carriers, others are localized
and cannot contribute to photocurrent. These non-contributing
absorption processes include ligand field (dd) excitations that can
be optically allowed by distortions from inversion symmetry and
many-body effects2,3. Likewise, organic photovoltaic materials also
have different types of photoexcitations and excitons, which have
a direct impact on the photocurrent4,5. The various types of opti-
cal excitations, contributing and non-contributing ones, can over-
lap in wavelength across the material’s absorption spectrum. The
wavelength-dependent ratio between the contributing and overall
absorption defines the photogeneration yield spectrum, ξ(λ), equiv-
alent to the probability that an absorbed photon of wavelength λ
will ultimately generate a mobile charge carrier. This quantity is
therefore of core importance for the development of photovoltaic
and photoelectrochemical devices. However, ξ(λ) can be difficult to
properly characterize, because most of the pertinent measurements
can only detect the photocurrent action spectrum, Jph(λ), which
comprises different optical and electronic factors. An intermingling
of the inherent material properties (for example, absorption pro-
cesses and cross-sections, electronic transport and recombination
mechanisms in bulk and through surface, optical constants), and
the more macroscopic-level, adjustable properties (for example,
lengths and interfaces) of the device tested, are all factors that com-
bine to produce Jph(λ) for the particular device. It is therefore desir-
able, as a basic measure, to characterize the system by only a few
basic parameters, including ξ(λ), that have straightforward physical
definitions.
Here, we present a method for extracting ξ(λ) empirically, with-
out any a priori assumptions about its shape. The derivation begins
from a spatial collection efficiency model6,7, but using ultrathin
films to remove all the spatial effects, thereby greatly simplifying the
computation and avoiding a priori assumptions. As a case study, we
first applied this method to study haematite (α-Fe2O3) photoanodes
for water photo-oxidation in photoelectrochemical (PEC) cells for
solar water splitting8. We then compared the results with those
obtained from photoconductivity measurements using an entirely
different, non-contact technique, namely time-resolved microwave
photoconductivity (TRMC), which should, in principle, provide
an action spectrum that is also proportional to ξ(λ) if the charge
carrier mobility is wavelength-independent9. Consistent with this
prediction, the shapes of the extracted ξ(λ) and TRMC action spec-
tra were found to be similar. The consistency between these two
diverse techniques, one an entirely direct-current method in a PEC
cell under applied bias, the other a totally non-contact method at
Extraction of mobile charge carrier
photogeneration yield spectrum of ultrathin-film
metal oxide photoanodes for solar water splitting
Daniel A. Grave 1,2,5 ✉ , David S. Ellis1,5, Yifat Piekner 3,5, Moritz Kölbach 4, Hen Dotan1,
Asaf Kay1, Patrick Schnell4, Roel van de Krol 4, Fatwa F. Abdi 4, Dennis Friedrich 4 and
Avner Rothschild 1,3 ✉
Light absorption in strongly correlated electron materials can excite electrons and holes into a variety of different states. Some
of these excitations yield mobile charge carriers, whereas others result in localized states that cannot contribute to photocur-
rent. The photogeneration yield spectrum, ξ(λ), represents the wavelength-dependent ratio between the contributing absorp-
tion that ultimately generates mobile charge carriers and the overall absorption. Despite being a vital material property, it is
not trivial to characterize. Here, we present an empirical method to extract ξ(λ) through optical and external quantum effi-
ciency measurements of ultrathin films. We applied this method to haematite photoanodes for water photo-oxidation, and
observed that it is self-consistent for different illumination conditions and applied potentials. We found agreement between
the extracted ξ(λ) spectrum and the photoconductivity spectrum measured by time-resolved microwave conductivity. These
measurements revealed that mobile charge carrier generation increases with increasing energy across haematite’s absorption
spectrum. Low-energy non-contributing absorption fundamentally limits the photoconversion efficiency of haematite photo-
anodes and provides an upper limit to the achievable photocurrent that is substantially lower than that predicted based solely
on absorption above the bandgap. We extended our analysis to TiO2 and BiVO4 photoanodes, demonstrating the broader utility
of the method for determining ξ(λ).
NATURE MATERIALS | VOL 20 | JUNE 2021 | 833–840 | www.nature.com/naturematerials 833
Content courtesy of Springer Nature, terms of use apply. Rights reserved
... 7 Rothschild et al. have demonstrated that more absorbed photons were lost to noncontributing absorption in the bulk hematite than in an ultrathin hematite film. 8 In general, nanoscale thin-film semiconductors with a rough surface could effectively improve the optical absorption efficiency. Hematite (α-Fe 2 O 3 ) is a promising material for solar water splitting. ...
... While nanowire photoanodes including TiO 2 and ZnO absorb mostly in the ultraviolet (UV) region, other oxides including WO 3 (120), BiVO 4 (121), and Fe 2 O 3 (122) extend their absorption in the visible spectrum (Table 2). However, even those suffer from low photovoltages, which may be due to a high recombination, low charge carrier mobility, or noncontributing excitations (9,123). Therefore, WO 3 only displays an onset potential of 0.5 to 0.7 V versus RHE for oxygen evolution (51,124), whereas the 0.8 to 1.0 V versus RHE onset of hematite (125)(126)(127) is even more positive. ...
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The spatial collection efficiency portrays the driving forces and loss mechanisms in photovoltaic and photoelectrochemical devices. It is defined as the fraction of photogenerated charge carriers created at a specific point within the device that contribute to the photocurrent. In stratified planar structures, the spatial collection efficiency can be extracted out of photocurrent action spectra measurements empirically, with few a priori assumptions. Although this method was applied to photovoltaic cells made of well-understood materials, it has never been used to study unconventional materials such as metal-oxide semiconductors that are often employed in photoelectrochemical cells. This perspective shows the opportunities that this method has to offer for investigating new materials and devices with unknown properties. The relative simplicity of the method, and its applicability to operando performance characterization , makes it an important tool for analysis and design of new photovol-taic and photoelectrochemical materials and devices. Introduction In photovoltaic (PV) and photoelectrochemical (PEC) cells, volume absorption of photons generates charge carriers with excess free energy, whose net flux gives rise to electric current, commonly termed the photocurrent. The spatial collection efficiency (SCE) is defined as the fraction of photogenerated charge carriers at a specific position within the cell that contribute to the photocurrent that flows out of the cell. Since the photocurrent can be used to produce electrical power or to drive an electrochemical reaction, empirical extraction of the SCE may shed light on processes that govern the energy conversion efficiency and transduction mechanisms that are important for a wide range of applications.
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The photoelectrochemical behavior of a planar 1 µm thick Ti-doped hematite film deposited on F:SnO2 coated glass was studied with both front and back illumination. Despite low quantum efficiency, photocurrent was observed upon back illumination with low wavelengths, indicating that some photogenerated holes are able to traverse at least 700 nm across the hematite film and effectively oxidize water. This cannot be accounted for using the commonly accepted hole collection length of hematite based on fitting to the Gartner model. Furthermore, under back illumination, 450 nm excitation resulted in increased photocurrent as compared to 530 nm excitation despite most of the light being absorbed further away from the surface. These results demonstrate that the photocurrent is strongly dependent on the optical excitation wavelength, and related to both delocalized holes with long lifetime and localized excitations rather than only being dependent on the proximity of the absorption to the surface.