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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, Helmholtz‐Zentrum 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 (d→d) 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
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