Wennie Wang1, Marco Favaro2, Emily Chen3, Lena Trotochaud4, Hendrik Bluhm4, Kyoung-Shin Choi5, Roel van de Krol2,6, David E Starr2, Giulia Galli1,3,7. 1. Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, United States. 2. Institute for Solar Fuels, Helmholtz-Zentrum Berlin für Materialien und Energie GmbH, Hahn-Meitner-Platz 1, Berlin 14109, Germany. 3. Department of Chemistry, University of Chicago, Chicago, Illinois 60615, United States. 4. Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States. 5. Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706, United States. 6. Institut für Chemie, Technische Universität Berlin, Straße des 17. Juni 124, Berlin 10623, Germany. 7. Materials Science Division and Center for Molecular Engineering, Argonne National Laboratory, Lemont, Illinois 60439, United States.
Abstract
We present a combined computational and experimental study of the adsorption of water on the Mo-doped BiVO4(010) surface, revealing how excess electrons influence the dissociation of water and lead to hydroxyl-induced alterations of the surface electronic structure. By comparing ambient pressure resonant photoemission spectroscopy (AP-ResPES) measurements with the results of first-principles calculations, we show that the dissociation of water on the stoichiometric Mo-doped BiVO4(010) surface stabilizes the formation of a small electron polaron on the VO4 tetrahedral site and leads to an enhanced concentration of localized electronic charge at the surface. Our calculations demonstrate that the dissociated water accounts for the enhanced V4+ signal observed in ambient pressure X-ray photoelectron spectroscopy and the enhanced signal of a small electron polaron inter-band state observed in AP-ResPES measurements. For ternary oxide surfaces, which may contain oxygen vacancies in addition to other electron-donating dopants, our study reveals the importance of defects in altering the surface reactivity toward water and the concomitant water-induced modifications to the electronic structure.
We present a combined computational and experimental study of the adsorption of water on the Mo-doped BiVO4(010) surface, revealing how excess electrons influence the dissociation of water and lead to hydroxyl-induced alterations of the surface electronic structure. By comparing ambient pressure resonant photoemission spectroscopy (AP-ResPES) measurements with the results of first-principles calculations, we show that the dissociation of water on the stoichiometric Mo-doped BiVO4(010) surface stabilizes the formation of a small electron polaron on the VO4 tetrahedral site and leads to an enhanced concentration of localized electronic charge at the surface. Our calculations demonstrate that the dissociated water accounts for the enhanced V4+ signal observed in ambient pressure X-ray photoelectron spectroscopy and the enhanced signal of a small electron polaron inter-band state observed in AP-ResPES measurements. For ternary oxide surfaces, which may contain oxygen vacancies in addition to other electron-donating dopants, our study reveals the importance of defects in altering the surface reactivity toward water and the concomitant water-induced modifications to the electronic structure.
Using solar energy to
split water and produce hydrogen fuel is
an attractive avenue toward realizing a clean energy future,[1−5] particularly in mitigating solar radiance fluctuations by storing
solar energy in chemical bonds. Bismuth vanadate (BiVO4) is at the vanguard of complex oxide photoanode materials due to
several advantageous properties, including high electron–hole
separation efficiencies (over 70%) and photocurrent onset potentials
very close to the thermodynamic hydrogen evolution potential.[6] While the band gap of BiVO4 (∼2.4–2.6
eV[6−9]) is larger than desired, coupling it with smaller band gap materials[10] and doping[6] are promising
strategies for enhancing light absorption. Doping with W or Mo also
improves the intrinsically limiting carrier transport and separation
efficiencies in BiVO4.[11−13] These aspects combined
with the ease and low cost of BiVO4 synthesis[14] and its corrosion resistance[15] have led to intense investigations and optimization of
BiVO4 photoanodes for water splitting.[10,14,16−18] However, despite the
intensity and vast number of studies in the literature, a fundamental
understanding of how the surface of BiVO4 interacts with
water remains elusive.At the semiconducting oxide/aqueous electrolyte
interface, water
may adsorb non-dissociatively (i.e., molecular water adsorption) or
dissociatively, resulting in the hydroxylation of the surface. Determining
when and to what extent dissociative water adsorption occurs along
with the structural moieties involved is critical for understanding
the changes in the electronic structure upon interface formation and
therefore charge transfer across the interface. Water adsorption on
binary semiconducting oxides has been studied extensively,[19−22] and mechanistic insights into the interaction between the semiconductor
surface and water have been revealed. For example, studies have shown
that surface defects play a key role in water dissociation on TiO2(110) surfaces,[23] though whether
and to what extent water dissociates on the pristine rutile TiO2(110) surface have been controversial for both the experiment
and theory.[23−28] Nevertheless, these studies provide insights into the geometric
configurations required for accurate electronic structural models
and the intermediate species needed to simulate the mechanisms by
which water splitting occurs. The influence of polarons on the structural,
chemical, and electronic properties of the TiO2(110) surface
as well as a comparison of their localization in rutile and anatase
TiO2 has been extensively studied.[29−33] These studies indicate that excess electrons and
defects play a key role in the adsorption state of adsorbates on TiO2 surfaces and that adsorbates may modify the surface electronic
structure by localizing excess electrons into polaron states.Compared to binary oxides, however, very little is known about
the exact nature of the interface between BiVO4 and water;
for example, whether water dissociates on the defect-free surface
or if a defective surface is required, which structural moieties are
involved if dissociation does occur, and how the electronic structure
of the BiVO4 surface is modified by water dissociation
and hydroxylation. Thus far, a limited number of studies have examined
the electronic properties of the (pristine) BiVO4 surface
or its modification following (i.e., ex situ) exposure to water, with
several of them using polycrystalline samples[34−36] and a few of
them using a combined experimental and computational framework.[37] Of note are the soft X-ray spectroscopic studies
by Jovic et al.[38,39] who observed charge localization
of excess electrons in inter-band gap small polaron states for W-
and Mo-doped BiVO4 crystals, and the thorough studies by
Favaro et al.[8] on the chemical, structural,
and electronic characteristics of the Mo-doped BiVO4(010)
surface. While there is a general agreement that the BiVO4 surface is reduced with exposure to water,[35,36] the exact structure and composition of the surface and the role
of defects remain unclear.[34−36] A number of computational studies
have investigated the interaction of water with different surfaces
of BiVO4. Interestingly, thus far, none have reported dissociation
of water molecules, including the first-principles molecular dynamics
(MD) simulations of Oshikiri and Boero, who simulated the adsorption
of up to a monolayer (ML) of molecular water on the (100) surface
of undoped BiVO4.[40] The lowest
energy (010) surface (in the C2/c convention)[41] has been shown to have
a similar behavior. For example, Yang and colleagues used density
functional theory (DFT) calculations at the level of generalized gradient
approximation and found that the adsorption of dissociated water is
endothermic on the (undoped) (010) surface.[42] Crespo-Otero and Walsh also studied the undoped (010) surface and
used MD simulations based on the PBE and PBEsol functionals to study
variations in the surface ionization potential [i.e., valence band
(VB) edge] of the hydrated surface with temperature.[43] Still, no dissociation of water on the surface was observed
in their models for either a monolayer (ML) of water or liquid water.
Recently, Wiktor and Pasquarello used first-principles MD to study
charge-doped surfaces interfaced with molecular water.[44] Interestingly, they reported that the electron
polaron was less stable at the interface with liquid water compared
to the non-hydrated surface, while the hole polaron was more stable;
these results suggest that hydration can enhance electron–hole
separation. This study likewise did not report the occurrence or adsorption
of dissociated water. The discrepancy between the results found in
the literature naturally raises the question whether dissociative
water adsorption is possible on the defect-free, undoped surface of
BiVO4 and what role surface defects, in particular excess
electrons, play in water adsorption and dissociation on the BiVO4 surface. Understanding this fundamental aspect of the semiconductor/aqueous
electrolyte interface has important implications for formulating a
detailed mechanism for the oxygen evolution reaction in water splitting
and a molecular-level model of its initial steps.[45]To the best of our knowledge, we present for the
first time a combined
experimental and computational study that identifies species important
for the hydroxylation of the BiVO4(010) surface and consequently
the nature of water adsorption on the BiVO4 surface. Notably,
we present a near one-to-one comparison of the electronic structure
of single-crystalline samples and first-principles calculations. Ambient
pressure X-ray photoelectron spectroscopy (AP-XPS) has been used extensively
in the past to study the adsorption and dissociation of water on oxide
surfaces.[46−51] AP-XPS provides the ability to study water adsorption at room temperature
(r.t.) in elevated water vapor pressures, conditions that closely
simulate those found in the environment. These studies have provided
detailed models of the hydroxylation of oxide surfaces as a function
of relative humidity. Here, we have extended these types of studies
to include resonant excitation. The utility of resonant photoemission
spectroscopy (ResPES) as a means to identify elemental and orbital
contributions of the occupied electronic states is highlighted, including
in cases when weaker contributions are ordinarily difficult to disentangle
from the stronger ones (as in the case of V 3d orbitals in the VBs
of vanadium oxides that are dominated by the O 2p states). In particular,
we demonstrate how ambient pressure resonant photoemission spectroscopy
(AP-ResPES) may be used in conjunction with first-principles calculations
to understand polaron formation in the presence of adsorbed and dissociated
water on the BiVO4(010) surface. Our ResPES measurements
reveal an enhanced peak near the VB edge when the BiVO4(010) surface is exposed to water. In order to identify the structural
moieties involved, we carried out first-principles calculations based
on DFT. Guided by our experimental measurements, we explicitly considered
configurations involving molecular or dissociated water and the effect
of electron doping, which imitates the n-type defects found in our
samples, including oxygen vacancies. Our computational results show
that the enhanced signal observed in the AP-ResPES measurements arises
from small electron polaron formation. We find that while the adsorption
of molecular water readily occurs on the pristine and undoped surface,
it does not occur when excess charge is present at the surface. The
main finding of our investigations is that the dissociation of water
does occur on the BiVO4(010) surface, and the adsorbed
hydroxyls can further stabilize the surface electron polarons. Our
study represents an important contribution to the fundamental understanding
of the electronic, structural, and chemical properties of the BiVO4/water interface based on a strategy combining measurements
on single-crystalline samples and first-principles calculations. Our
findings highlight the importance of surface defects in altering the
surface reconstruction of ternary oxide surfaces in the presence of
water.
Methodology
Experimental Methodology
We highlight
here the main aspects of our experimental methodology. Further details
may be found in ref (8) and in the Supporting Information.
Sample Preparation
We intentionally
doped our single-crystal BiVO4 with nominally 1 at. % Mo
to improve the sample conductivity for our photoemission measurements.
The Mo-doped BiVO4 single crystals were grown from Bi2O3, V2O5, and MoO3 (Aldrich, purity ≥ 99.99%) in air using the Czochralski technique
with RF induction heating and automatic diameter control. Approximately
5 × 5 × 5 mm3 oriented pieces were first cut
from the bulk Mo-doped BiVO4 crystal and then cleaved along
the (010) plane. After introducing the cleaved crystals into the vacuum
chamber, they were cleaned by heating to 300–320 °C in
an O2(g) atmosphere. As reported previously,[8] X-ray photoelectron spectroscopy (XPS) and low-energy
electron diffraction analysis show that this reproducibly produces
a clean and well-ordered surface with no indication of Mo surface
segregation or carbon contamination on the surface at r.t. and under
ultra-high vacuum (UHV). When transitioning from UHV to the experimental
conditions of elevated water vapor pressure, a slight increase in
carbon contamination on the surface was observed (see the Supporting Information). This is most likely
due to the displacement of carbon-containing species from the analysis
chamber walls upon water dosing. The carbon coverage (θC) was estimated from the integrated peak areas of the C 1s
and Bi 4f core-level (Figure S1a) spectra
taken at a water pressure of 0.05 Torr and at a photon energy (PE)
of 517.4 eV (i.e., in resonance with the V L3 2p3/2 → 3d electronic transition, see below). From this analysis
and using the “simulation of electron spectra for surface analysis”
software (SESSA),[52] θC was estimated to be equal to 0.03 ML (see the Supporting Information for the detailed description of the
quantification). The normalized C 1s core-level peaks shown in Figure S1b, taken during the AP-ResPES experiment,
show that the amount of carbon contamination and its chemical composition
were stable throughout the measurement; that is, once 0.05 Torr of
water pressure was reached, there was no further accumulation of carbon
contamination on the surface. Note that the surface coverages reported,
given in units of MLs, are expressed in terms of one BiVO4 ML (the d-spacing of one BiVO4 ML was
taken as half a unit cell along the b direction,
i.e., d = 5.76 Å).[8]
Soft X-ray Photoelectron and Resonant Photoelectron
Spectroscopies
The end station of beamline 11.0.2 at the
Advanced Light Source (Lawrence Berkeley National Laboratory, Berkeley,
USA) was used for AP-XPS and AP-ResPES measurements.[46,53] The AP-XPS data were acquired using a photoelectron kinetic energy
(KE) of 200 eV, a step size of 0.05 eV, and a pass energy of 20 eV
for all core levels. Under these conditions, the total resolution
(beamline plus electron spectrometer) was better than 100 meV at 735
eV at r.t.. AP-ResPES measurements were conducted by acquiring the
VB spectra as the PE was scanned across the V L3 edge.
The PE was scanned in steps of 0.1 eV. The VB spectra were acquired
with a photoelectron KE step of 0.05 eV and an integration time of
0.3 s. Details on the procedure for spectral calibration and data
analysis may be found in ref (8) and in the Supporting Information.
Computational Methodology
Calculation Parameters
We additionally
performed first-principles calculations based on DFT and the Kohn–Sham
framework.[54,55] Our computational methodology
is built upon that of our previous work[37] and we highlight the major aspects here. We carried out spin-polarized
calculations using the Quantum ESPRESSO code[56,57] and the norm-conserving pseudopotentials[58] with a 90 Ry energy cutoff. The 6p36s25d10, 3d34s23p63s2, and 2p42s2 electrons were treated as the
valence states for Bi, V, and O, respectively. We additionally used
DFT + U(59,60) with Ueff = (U – J)
= 2.7 eV applied to the vanadium 3d states.[61] We previously found this approximation to be robust in capturing
the localization properties of BiVO4.[6,37,62] Symmetric slabs[63,64] consisting of a 2 × 2 × 2 supercell of the bulk 24-atom I2/b cell were generated. Each slab had
a minimum 20 Å of vacuum and a minimum of eight atomic layers.
We use the C2/c cell convention
when referring to the exposed (010) surface.
Enumeration of Configurations
To
build our computational models, we analyzed the XPS measurements of
the Mo:BiVO4(010) surface exposed to water in order to
identify the relevant species formed. From these measurements, we
found that at around 0.01 Torr, the surface begins to hydroxylate.
Both molecular water and dissociated water species; that is, hydroxyl
groups, were adsorbed on the surface. An increased coverage of the
adsorbed water species coincided with an increased amount of reduced
vanadium sites (V5+ → V4+) at the surface.
This inspired us to closely examine the relationship between the reduced
vanadium sites and the nature of the adsorbed water, as further discussed
below. Thus, we enumerated possible configurations and performed calculations
to understand the separate and combined impacts of reduced vanadium
sites and adsorbed water species on the electronic structure. In order
to imitate the n-type conditions of our Mo:BiVO4 samples,
we induced the localization of an excess electron on a surface V site
(see the Supporting Information for further
details). We note that other n-type defects such as oxygen vacancies[37] are also possible sources of excess electrons
in our Mo:BiVO4 sample and in thin BiVO4 films
as found in devices.We differentiate between whether a computational
sample has excess electrons, whether there is water adsorbed on the
surface, and which orientation the adsorbed water species have relative
to a chosen VO4 tetrahedron, and we enumerate our calculations
across all representative combinations. In particular, we distinguish
between whether a surface VO4 tetrahedron is coordinated
with one or two hydrogen atoms from adsorbed water (see Figure ). The relevant configurations
discussed in the main text and their naming conventions are presented
in Table . A complete
table describing our notation (see Table S1) and further calculation
details may be found in the Supporting Information.
Figure 1
Selected models to illustrate the main structural configurations
considered in our calculations: (a) pristine surface slab with surface
polaron (s2e), (b) single-hydroxylated surface polaron with dissociated
water molecules (s3dd), and (c) surface polaron with two water molecules
oriented toward a particular VO4 (s4mm). Bi atoms are shown
in purple, V atoms in gray, O atoms in red, and H atoms in white;
the pink V atom denotes the site at which an electron polaron is initialized
to form (see the main text). The local coordination environment of
Bi (7-fold coordinated with the adsorbed water) and V (4-fold coordinated)
of the main structural moiety in this study is shown in (d). An illustration
of all major structural configuration variants may be found in Figure S2.
Table 1
Summary of the Main Configurations
Considered in Our Calculationsa
label
added excess
electrons
no. of water molecules at the surface
no. of water molecules oriented toward a single VO4
s3dd
yes
2 (dissociated)
1
s4dd
yes
2 (dissociated)
2
s3mm
yes
2 (molecular)
1
s4mm
yes
2 (molecular)
2
no
2 (dissociated)
1
no
0 (dissociated)
2
A complete list of configurations
may be found in Table S1 of the Supporting Information. “s3” denotes a configuration where only one water
molecule is oriented toward a selected VO4 tetrahedron,
“s4” indicates that two water molecules are oriented
toward a selected VO4 tetrahedron, and a tilde indicates
that no electron doping was included. Appended to each “s#”
is a string consisting of “m” and/or “d”,
in which each characteristic represents the molecular or dissociated
water adsorbed on each exposed surface of the slab, respectively.
Selected models to illustrate the main structural configurations
considered in our calculations: (a) pristine surface slab with surface
polaron (s2e), (b) single-hydroxylated surface polaron with dissociated
water molecules (s3dd), and (c) surface polaron with two water molecules
oriented toward a particular VO4 (s4mm). Bi atoms are shown
in purple, V atoms in gray, O atoms in red, and H atoms in white;
the pink V atom denotes the site at which an electron polaron is initialized
to form (see the main text). The local coordination environment of
Bi (7-fold coordinated with the adsorbed water) and V (4-fold coordinated)
of the main structural moiety in this study is shown in (d). An illustration
of all major structural configuration variants may be found in Figure S2.A complete list of configurations
may be found in Table S1 of the Supporting Information. “s3” denotes a configuration where only one water
molecule is oriented toward a selected VO4 tetrahedron,
“s4” indicates that two water molecules are oriented
toward a selected VO4 tetrahedron, and a tilde indicates
that no electron doping was included. Appended to each “s#”
is a string consisting of “m” and/or “d”,
in which each characteristic represents the molecular or dissociated
water adsorbed on each exposed surface of the slab, respectively.We note that the configurations tested here for the
adsorbed water
were not exhaustive and did not include the possible influence of
the nearby water; the latter will be a future topic of more detailed
study. Nevertheless, the configurations enumerated above offer valuable
insights into the possible conformations of the adsorbed species on
the BiVO4(010) surface.
Results
AP-XPS Investigation of the Mo:BiVO4(010) Surface
The Mo:BiVO4(010) surface was investigated
with a combination of soft X-ray ambient pressure (AP) photoelectron
spectroscopy (AP-XPS) and AP-ResPES. XPS in UHV and AP-XPS were performed
to determine the changes in the surface chemical composition and the
oxidation states of Bi, V, and Mo for the pristine surface (UHV, ∼10–9 Torr) and upon exposure to 0.05 Torr of water (H2O) at r.t. (∼298 K).We first turn to XPS measurements
in order to build a microscopic model for the interaction of the BiVO4(010) surface with water. For both UHV XPS and AP-XPS conditions,
the core levels shown in Figure were acquired by changing the PE to provide the same
photoelectron KE and therefore the same probed depth for each core
level.[52] The photoelectron KE chosen was
200 eV, yielding an inelastic mean free path λe of
8.3 Å in BiVO4.[52]
Figure 2
XPS investigation
of Mo:BiVO4(010). The measurements
were performed at r.t. on the pristine surface (UHV) and during exposure
to 0.05 Torr of H2O (AP conditions). The PE used for each
core-level spectrum was changed in order to provide the same photoelectron
KE (∼200 eV) and therefore the same probed depth for all core-level
spectra The inelastic mean free path of 200 eV photoelectrons in BiVO4 is equal to ∼8.3 Å (see the Experimental Methodology section for further details). The
spin–orbit splitting, ΔESOS, is the energy separation of the spectral features corresponding
to the S = +1/2 and S = −1/2
states in the J = L + S spin–orbit split states. (a) Bi 4f (hν
= 366 eV), (b) Mo 3d (hν = 441 eV), (c) V 2p
(hν = 716 eV), and (d) O 1s (hν = 736 eV).
XPS investigation
of Mo:BiVO4(010). The measurements
were performed at r.t. on the pristine surface (UHV) and during exposure
to 0.05 Torr of H2O (AP conditions). The PE used for each
core-level spectrum was changed in order to provide the same photoelectron
KE (∼200 eV) and therefore the same probed depth for all core-level
spectra The inelastic mean free path of 200 eV photoelectrons in BiVO4 is equal to ∼8.3 Å (see the Experimental Methodology section for further details). The
spin–orbit splitting, ΔESOS, is the energy separation of the spectral features corresponding
to the S = +1/2 and S = −1/2
states in the J = L + S spin–orbit split states. (a) Bi 4f (hν
= 366 eV), (b) Mo 3d (hν = 441 eV), (c) V 2p
(hν = 716 eV), and (d) O 1s (hν = 736 eV).In UHV conditions, we find that the binding energies
(BEs) of Bi
4f7/2 (Figure a, 159.4 eV) and Mo 3d5/2 (Figure b, 232.4 eV) are consistent with the oxidation
states of Bi3+ (6s2 configuration) and Mo6+ (4d0 configuration), respectively.[65−67] As we have recently shown with near-edge X-ray absorption fine structure
spectroscopy (NEXAFS),[8] Mo6+ has a tetrahedral coordination environment, which suggests substitutional
doping into V5+ sites. The excess electron introduced by
the Mo6+ cations occupies a localized V 3d state. This
finding is confirmed by the presence of a low BE component (BE = 516.2
eV, shaded in blue in Figure c) in the V 2p spectral region, which can be attributed to
reduced surface vanadium (V4+).[38,39,68−70] In UHV, the O 1s spectral
region (Figure d)
shows a single peak centered at a BE of 530.1 eV in line with previous
assignments to O2– reticular oxygen.[38,39,66,68−70]Transitioning from the pristine Mo:BiVO4(010) surface
in UHV to 0.05 Torr H2O vapor pressure, the Bi 4f and Mo
3d core levels do not show any significant changes. Under the same
conditions, the V 2p spectrum (Figure c) is still dominated by the photoelectron peak centered
at BE = 517.1 eV and attributable to V5+ (3d0 configuration),[38,39,66,68−70] but the low BE shoulder
assigned to V4+ increases in intensity, indicating that
the exposure of the Mo:BiVO4(010) surface to water vapor
has increased the amount of V4+ on the surface. This is
accompanied by two new spectral components in the O 1s spectrum (Figure d), which are attributable
to adsorbed −OH (BE = 531.4 eV) and H2O (H2Oads, BE = 533.8 eV).[46,66,71] The presence of −OH component implies that
water has dissociatively adsorbed on the Mo:BiVO4(010)
surface.This experimental finding, however, is in contrast
to previous
DFT calculations performed on undoped BiVO4 by Yang et
al.[42] on (010) and (011) surfaces and by
MD simulations carried out by Oshikiri and Boero[40] on the (100) surface. In both of these works, the adsorption
of dissociated water molecules was not observed, but rather only the
adsorption of molecular water at Bi surface sites via a Bi–O
interaction (see e.g., Figure d) was reported. From our experimental results, we can determine
the surface coverage (θ) of the adsorbed −OH (θ–OH) and the corresponding coverage of reduced vanadium
at the surface ().[72] At 0.05
Torr of H2O, = 0.08 ML. Note that the spectral fingerprint
of oxygenated carbon species in the O 1s core-level spectrum overlaps
with that of the adsorbed −OH. This contamination accounts
for about 0.02 ML of the observed adsorbed oxygen-containing species
in this BE range (see the Experimental Methodology section and the Supporting Information for spectra and carbon contamination coverage calculations) and
leads to an estimated hydroxyl coverage of θ–OH = 0.07 ML. This leads to a coverage ratio of hydroxyl to reduced
vanadium of ∼0.9 (i.e., ∼ 0.9). If one dissociated water
molecule, which can form two adsorbed surface hydroxyl groups, led
to one reduced vanadium in the surface, this ratio should be 2. Our
ratio of 0.9 suggests an excess amount of reduced vanadium on the
surface upon its hydroxylation. Below, we propose that the reduced
vanadium is the result of hydroxyl-induced localization of the excess
electrons that already exist in the sample from the Mo dopants. However,
increasing the water vapor pressure leads to surface hydroxylation
and a corresponding reduction of V5+ to V4+,
and these processes are localized to the surface region of BiVO4. Based on these observations, we can conclude that H2O indeed dissociates at the Mo:BiVO4(010) surface,
and in the following, we seek to identify a microscopic model to interpret
these observations. In particular, we investigate what structural
moieties result from water dissociation and surface hydroxylation
using DFT calculations, identify which of these structural moieties
stabilize excess electrons at the Mo:BiVO4(010) surface,
and discuss the possible reasons why water dissociation has not been
observed in previous computational studies.
AP-ResPES Investigation of the Mo:BiVO4(010) Surface
Surface hydroxylation[46,71] not only changes the chemical composition of the surface but can
also modify its electronic properties.[20] To investigate the changes in the valence states of the Mo:BiVO4(010) surface upon hydroxylation, we performed AP-ResPES[66] in a water ambient of 0.05 Torr and at r.t..
ResPES is a powerful tool to resolve the various elemental contributions
to the VB structure of materials.[73−76] Element specificity is obtained
by exciting the electrons of the VB using photons with energies (PE)
near the absorption/ionization edges of the selected element. The
enhancement of the photoelectron signal intensity arises from the
constructive interference of two different interaction channels: (i)
electrons directly photoemitted from the VB and (ii) electrons emitted
at the same KE through a resonant absorption-initiated Auger decay
process.[77,78] This intensity enhancement makes it possible
to probe weak VB features whose detection via direct VB photoemission
can be difficult. In this study, we monitor the VB spectrum as the
PE is scanned across the V L3 edge corresponding to the
2p3/2 → 3d electronic transition in the dipolar
approximation (see the corresponding NEXAFS spectrum in Figure a). Figure b shows the VB spectra as a function of PE
as it is scanned across the V L3 absorption edge in the
form of a 2D map. The gray curve reported in Figure a is the constant initial state (CIS) profile
obtained by slicing the 2D map reported in Figure b at a BE of 6.2 eV, corresponding to the
maximum intensity enhancement in the VB spectrum. The overlap of the
NEXAFS and CIS spectra confirms that the features in the VB undergoing
the intensity enhancement under resonant conditions are related to
V d states. In Figure c, a comparison of the VB spectra taken off and on resonance is shown;
the comparison highlights the increase in intensity and the change
in the spectral shape induced by the resonance excitation conditions.
Figure 3
AP-ResPES
of the Mo:BiVO4(010) surface at r.t. and a
water pressure of 0.05 Torr. (a) The PE was scanned across the V L3 edge inducing, within the dipolar approximation, the 2p3/2 → 3d optical transition. The blue curve is the NEXAFS
spectrum obtained in a partial electron yield (PEY) at a KE of 425
eV (see the Experimental Methodology details
and the Supporting Information for further
details), whereas the gray profile is the CIS profile obtained by
slicing the 2D map reported in (b) at a BE of 6.2 eV, corresponding
to the intensity maximum. The overlap of the two spectra confirms
that the features in the VB undergoing the intensity enhancement under
resonant conditions are related to V d states. (b) 2D map obtained
by plotting the VB spectra as a function of PE. In (c), the comparison
between the VB spectra taken in off- and on-resonance conditions is
shown. Note that the O KLL Auger transitions reported as dotted red
lines are due to the concomitant direct O Auger emission as the PE
approaches the O KLL KE (NEXAFS, PEY, BE, CIS, VB, and PE).
AP-ResPES
of the Mo:BiVO4(010) surface at r.t. and a
water pressure of 0.05 Torr. (a) The PE was scanned across the V L3 edge inducing, within the dipolar approximation, the 2p3/2 → 3d optical transition. The blue curve is the NEXAFS
spectrum obtained in a partial electron yield (PEY) at a KE of 425
eV (see the Experimental Methodology details
and the Supporting Information for further
details), whereas the gray profile is the CIS profile obtained by
slicing the 2D map reported in (b) at a BE of 6.2 eV, corresponding
to the intensity maximum. The overlap of the two spectra confirms
that the features in the VB undergoing the intensity enhancement under
resonant conditions are related to V d states. (b) 2D map obtained
by plotting the VB spectra as a function of PE. In (c), the comparison
between the VB spectra taken in off- and on-resonance conditions is
shown. Note that the O KLL Auger transitions reported as dotted red
lines are due to the concomitant direct O Auger emission as the PE
approaches the O KLL KE (NEXAFS, PEY, BE, CIS, VB, and PE).As reported in our previous work[8] and
in the comparison shown in Figure a, the V–O σ feature located at about
6 eV in the VB spectrum undergoes a significant increase when changing
from off-resonance to on-resonance excitation, both on the clean and
hydroxylated Mo:BiVO4(010) surfaces. This is in line with
the partial density of states obtained from DFT calculations,[79−81] which show that the middle of the VB is dominated by hybridized
V 3d and O 2p states. Furthermore, for the clean Mo:BiVO4(010) surface measured in UHV, we observed a spectral feature above
the VB maximum (VBM) within the energy band gap at a BE equal to 1.4
eV. A PE of 517.4 eV yielded the maximum intensity of this feature
as previously observed.[8] The nature of
the observed resonantly enhanced feature was assigned to highly localized,
reduced V4+ moieties formed by excess electron localization
in V 3d-derived orbitals, where the excess electrons are provided
by the Mo dopants. This feature is associated with the formation of
a defect state in the energy band gap and corresponds to the formation
of a small polaron at a VO4 tetrahedral site.
Figure 4
(a) VB spectra
in off- (top) and on-resonance (bottom) conditions
for the clean (UHV) and Mo:BiVO4(010) surface in 0.05 Torr
H2O and (b) magnification and deconvolution of the VB spectrum
in the BE range between −1 and 4 eV, emphasizing the electronic
structure at the upper edge of the VB (VBM, UHV, DS: difference spectrum).
(a) VB spectra
in off- (top) and on-resonance (bottom) conditions
for the clean (UHV) and Mo:BiVO4(010) surface in 0.05 Torr
H2O and (b) magnification and deconvolution of the VB spectrum
in the BE range between −1 and 4 eV, emphasizing the electronic
structure at the upper edge of the VB (VBM, UHV, DS: difference spectrum).Upon water adsorption on and hydroxylation of the
Mo:BiVO4(010) surface, three main observations can be made:The intensity of the resonantly enhanced
feature above the VBM increases compared to the surface measured in
UHV conditions.The
maximum intensity of the resonant
state occurs at the same PE (within experimental uncertainty) as for
the surface in UHV conditions.The position of the resonantly enhanced
above VBM feature shifts to higher BE values compared to its position
in UHV.Together, these findings suggest that the resonant state
arises
from the same set of V 3d (localized) orbitals irrespective of whether
the surface is pristine or exposed to water. A detailed analysis of
the resonant state for the surface in 0.05 Torr H2O allows
the disentangling of its two spectral components, separated by 0.4
eV (Figure b). The
low BE component (BE = 1.5 eV) represents the resonant contribution
from the reduced V4+ generated by the localization of the
excess charge from the Mo6+ dopants or more generally non-hydroxylated
VO4 moieties, as previously assigned;[8] the higher BE component (BE = 1.9 eV) is related to the
conversion of surface V5+ to V4+ upon the adsorption
of water and likely the hydroxylation of the VO4 moieties.
With this additional insight, we now turn to DFT calculations to correlate
the structural moieties of the adsorbed water species with their corresponding
electronic structures and to the spectral features observed experimentally.
Structural Motifs and Stability of Water Adsorption
on the (010) Surface
The electronic and atomic structures
of the bare BiVO4(010) surface with and without oxygen
vacancies under vacuum were reported in our previous study.[37] Here, we explore different configurations, modeling
the presence and absence of defects via electron doping to understand
what moieties of adsorbed water may lead to the formation of surface
polarons, which in turn could explain the enhanced defect state observed
in our AP-XPS and AP-ResPES measurements.Our AP-XPS and AP-ResPES
measurements support and inform our computational models. The model
we first consider is that of water dissociating and leading to the
binding of an OH group to the Bi sites and of a proton to a neighboring
O2– site of the VO4 moiety. The substitution
of Mo6+ on V5+ suggests that an excess electron
from Mo is donated to the host lattice to form V4+. Likewise,
the two electrons from an oxygen vacancy lead to the formation of
V4+.[37] It has been shown in
numerous computational studies that small electron polarons have a
V 3d characteristic and form in the presence of oxygen vacancies[37,62] and/or Mo-doping[11] (see also Figure S4 for density of states). Thus, we model
our Mo:BiVO4(010) single-crystalline samples as slabs with
excess electrons localized on V sites.We first considered the
adsorption of molecular water in the absence
of electron doping ( and configurations). In general, the adsorption
of molecular water is energetically favorable (by around 0.5 eV for
the configurations calculated here) compared to the energy of the
separate BiVO4 surface and water molecules, consistent
with previous DFT studies.[40,43] However, upon adsorption
of molecular water, no in-gap defect state was observed, indicating
that the adsorption of molecular water cannot explain the enhanced
intensity of the spectral feature above the VBM observed in AP-ResPES
measurements. When electron doping was introduced into the system,
we did not find electronically stable configurations with the adsorption
of one (s3mm) or two (s4mm) water molecules, suggesting that molecular
water adsorption in the presence of surface excess charge is unfavorable.Next, we turned to electronically doped configurations (s3dd and
s4dd) involving the adsorption of two dissociated water molecules.
We found that both these configurations had a lower energy than that
of the sum of the bare BiVO4(010) surface with a surface
polaron and the energy of an equivalent number of isolated water molecules.
This suggests that the adsorption of dissociated water molecules stabilizes
a surface polaron, leading to an increased concentration of localized
charge at the surface. We also found that the double-hydroxylated
configuration was more stable than the single-hydroxylated (s3dd)
configuration by around 295 meV. Additionally, we considered the case
of the adsorption of dissociated water molecules without electron
doping. We could stabilize and relax the single-hydroxylated configuration
(s3dd) but not the double-hydroxylated configuration (s4dd). This
suggests that while the adsorption of dissociated water molecules
is possible in the absence of surface excess charge, there are a limited
number of stable structural moieties. Mixed configurations with both
dissociated and molecular adsorbed water were also considered. Further
details of these and other configurations are discussed in the Supporting Information.
Electronic Structure and Localization Properties
of Water Adsorbed on the Electronically Doped BiVO4(010)
Surface
For the configurations we could stabilize in our
calculations, we investigated the electronic structure, focusing on
the relative position of the defect level introduced by the adsorbed
species, with respect to the VBM, as shown in Figure . The experimental values of the band edges
reported in Figure a are derived from the procedure outlined in our previous work.[8] The reference energy was shifted from the Fermi
level to the vacuum level according to the following relation: E = −(BE + φ). The work function φ, equal
to 5.15 ± 0.05 eV, was determined by measuring the secondary
electron cutoff on the clean Mo:BiVO4(010) surface under
vacuum.[8] The VBM for the hydroxylated surface,
measured at a BE of 2.4 eV (Figure b), is therefore shifted to 7.5 eV below the Evacuum in Figure a. As provided by previous DFT calculations conducted
on the clean BiVO4(010) surface,[40,79,82] the conduction band minimum (CBm) is placed
0.3 eV above the Fermi level.[8] Hence, using
the same equation reported above, we can place the CBm at 4.85 eV
below the EVacuum. On the other hand,
we observe a BE shift of +0.1 eV of the VBM position upon surface
hydroxylation (Figure b). Under the assumption that this is a rigid energy shift, we corrected
the CBm energy as well, thereby placing the CBm at 4.95 eV below the EVacuum. We note that the calculated band alignment
and Fermi level of the undoped, clean BiVO4(010) surface[37] are in good agreement with measurements based
on single-crystalline samples in UHV.[8] We
computed the position of the polaron defect level at the Brillouin
zone center. As discussed in the Supporting Information, we estimate an error bar of about 0.1 eV in determining the relative
position of the defect level with respect to the band edges. Table S2 presents additional data on how the
band gap and polaron defect level positions vary with hydroxylation.
Figure 5
Relative
positions of defect states with respect to the VBM as
identified in (a) measured samples in 0.05 Torr H2O based
on the analysis of AP-ResPES spectra in Figure and calculations using (b) DFT + U, (c) one-shot calculations using the dielectric-dependent
hybrid functional (DDH), and (d) one-shot DDH calculations with corrections
for temperature renormalization, nuclear quantum effects, spin–orbit
coupling, and exciton contributions based on the path-integral MD
simulations from ref (83). The experimental values of the band edges in (a) are derived from
the VBM vs EVacuum on the clean surface
reported in ref (8) and shifted by +0.1 eV to take into account the measured BE shift
of the VBM when transitioning from UHV to 0.05 Torr of H2O (see Figure and
text for further details). Green lines correspond to configurations
with defects/charge doping but no hydroxylation, and blue lines correspond
to configurations with defects/charge doping and hydroxylation. The
s3dd and s4dd configurations correspond to a surface polaron localized
on a VO4 tetrahedron with adsorbed dissociated water molecules
involving single and double hydroxylation, respectively.
Relative
positions of defect states with respect to the VBM as
identified in (a) measured samples in 0.05 Torr H2O based
on the analysis of AP-ResPES spectra in Figure and calculations using (b) DFT + U, (c) one-shot calculations using the dielectric-dependent
hybrid functional (DDH), and (d) one-shot DDH calculations with corrections
for temperature renormalization, nuclear quantum effects, spin–orbit
coupling, and exciton contributions based on the path-integral MD
simulations from ref (83). The experimental values of the band edges in (a) are derived from
the VBM vs EVacuum on the clean surface
reported in ref (8) and shifted by +0.1 eV to take into account the measured BE shift
of the VBM when transitioning from UHV to 0.05 Torr of H2O (see Figure and
text for further details). Green lines correspond to configurations
with defects/charge doping but no hydroxylation, and blue lines correspond
to configurations with defects/charge doping and hydroxylation. The
s3dd and s4dd configurations correspond to a surface polaron localized
on a VO4 tetrahedron with adsorbed dissociated water molecules
involving single and double hydroxylation, respectively.In order to determine which configuration’s
electronic structure
could represent the enhanced small polaron signal detected in our
AP-ResPES measurements upon water adsorption and dissociation, we
compare the relative position of the polaron levels for those configurations
exhibiting an inter-band electronic level, that is, the single- and
double-hydroxlyated configurations with a surface polaron (s3dd and
s4dd). The polaron levels are aligned to the absolute positions of
the band edges for the BiVO4(010) surface. We directly
compare the results obtained for experimental samples in UHV conditions
with those from calculations on the unhydroxylated electron-doped
BiVO4(010) surface; we also compare the results obtained
for our experimental samples in 0.05 Torr H2O conditions
with those from calculations on the single- and double-hydroxylated
(s3dd and s4dd) configurations. Figure shows the experimental data (Figure a) compared to computational results obtained
with various functionals (Figure b–d). In Figure d, additional corrections mainly based on finite-temperature
effects are included, which essentially renormalize the band edges.
Additional details on these corrections may be found in our previous
study[37] and are discussed further in the Supporting Information. For the unhydroxylated
BiVO4(010) surface with electron doping (s2e, green line
in Figure b), the
defect level of the surface V polaron is 1.72 eV above the VBM (0.34
eV below the Fermi level). For the electron-doped single-hydroxylated
configuration with dissociated water (s3dd), the defect state is 1.09
eV above the VBM (0.97 eV below the Fermi level). Comparing the results
for configurations with no water molecules and surface polaron (s2e)
with those with dissociated water molecules and surface polaron (s3dd)
reveals that the presence of hydroxyl groups leads to a polaron defect
state farther from the Fermi level, in agreement with the experimental
findings. This finding suggests that the presence of dissociated water
molecules energetically stabilizes the surface polaron on VO4, thereby implying that the exposure of the BiVO4 surface
to water enhances the formation of electron polarons at the surface.
The density of states for the s2e, s3dd, and s4dd configurations may
be found in the Supporting Information.
We also tested whether explicitly modeling ∼1% Mo-doping would
lead to qualitatively different results by replacing two V atoms in
the bulk-like region of the slab with Mo for the s3dd configuration.
We found that the defect state in the band gap remained a deep defect
state around 1.05 eV above the VBM.
Discussion
Our computational results
reveal several insights that can be used
to interpret our AP-XPS and AP-ResPES results. First, the adsorption
of water molecules on the (010) surface can occur in the absence of
the nearby excess electronic charge, explaining the observed peak
assigned to the adsorbed molecular water in our AP-XPS spectra. Second,
of the configurations tested, we find that the enhanced intensity
of the above VBM feature observed in our AP-ResPES spectra may be
explained by the presence of the adsorbed dissociated water. The adsorption
of dissociated water leads to proton transfer to and hydroxylation
of the surface VO4 moieties, as can be seen in the single-hydroxylated
(s3dd) configuration, and coincides with the formation of a surface
small polaron (i.e., nominal V4+ at the surface) as well
as a polaron defect state in the band gap. The polaron defect state
is stabilized by the hydroxyl groups relative to the state without
dissociated water, as evidenced by its deeper (i.e., closer to the
VB edge) polaron defect level. Thus, the increase in intensity and
higher BE of the resonantly enhanced above VBM feature in AP-ResPES
spectra may be attributed to the stabilization of small polarons due
to the dissociation of adsorbed water and the formation of hydroxyl
groups on VO4 tetrahedra. The stabilization of small polarons
at the BiVO4(010) surface may be attributed to the structural
distortions of the VO4 moiety when dissociated water adsorbs
(see Table S3). While adsorption of molecular
water barely distorts the structure of the VO4 tetrahedron,
the adsorption of dissociated water leads to a larger structural distortion
of the VO4 tetrahedron that helps to stabilize an electron
polaron. These structural distortions would also be expected to occur
in cases where other n-type defects such as oxygen vacancies are present.
We note that our computational strategy for modeling the adsorption
of water vapor is intended to reflect the conditions in our AP-ResPES
experiments (pH2O = 0.05 Torr), thereby not accounting
for interactions with neighboring water species that would be present
at the semiconductor/liquid electrolyte interface. The study of the
fully solvated surface and the interaction of adsorbed and dissociated
water molecules with aqueous-phase species will be a topic of future
work.Our combined experimental and computational study provides
a systematic
understanding of the nature of water adsorption on the Mo:BiVO4(010) surface. Due to the synergy between the experiment and
theory, we were able to construct meaningful structural models. Interestingly,
previous computational studies had not reported or observed the dissociation
of water on the BiVO4(010) surface. A few reasons could
underlie this apparent inconsistency. First, in MD simulations, for
systems in which dissociation does occur, a dissociation event may
be a rare event and difficult to observe for short trajectories (∼5
ps long trajectories were used in refs (40) and (44)). Second, observing molecular or dissociated water species
at the surface may also depend on whether the initial configuration
contains dissociated or molecular water species. For instance, Guo
and colleagues[22] simulated trajectories
up to 16 ps of various semiconductor/water interfaces and found that
at the interface of anatase TiO2, water remained molecular
if it was initialized as molecular and remained dissociated if it
contained dissociated water. In ref (43), an electrostatic correction was used to correct
for the presence of any dipole moments in their asymmetric slabs,
which could have affected the interaction of water with the surface.
Finally, many of the studies in literature studies[22,40,43] considered only the pristine undoped (010)
surface, which does not account for the impacts of n-type defects
such as Mo (electron) doping and oxygen vacancies as we have done
here.While our calculations qualitatively corroborate our measurements,
there are quantitative differences, particularly regarding the relative
position of the polaron level obtained with DFT + U. We tested the robustness of our DFT + U calculations
by turning to (one-shot) calculations carried out with the dielectric-dependent
hybrid (DDH) functional[84] for configurations
with dissociated water species. We show in Figure b,c that the relative positions of the polaron
defect level with and without adsorbed water does not qualitatively
change when using DFT + U or hybrid functional calculations.
We also considered renormalization effects of the energy band gap
due to finite temperature, spin–orbit coupling, and nuclear
quantum effects. Drawing on studies from Wiktor and colleagues,[37,44,85] we estimate the correction to
the band edges beyond DFT + U, which is shown in Figure d. These corrections
improve the agreement with the experiment in the relative position
of the polaron defect level with respect to the VBM. Overall, from
the closest one-to-one comparison presented in this study (see Figure a,d), we find sufficiently
good agreement between theory and experiments in the ordering and
relative position of the polaron defect levels for the BiVO4(010) surface under UHV and with water exposure. This allows us to
identify the enhanced polaron peak as arising from localization of
surface charge at VO4 tetrahedral sites caused by the adsorption
of dissociated water and hydroxylation of the surface.Other
factors that are important to consider include the limited
number of configurations sampled here due to the limited size of our
supercell. We note that our calculations have been conducted with
a 0.5 ML coverage of water species, whereas experimentally, we found
coverages of 0.074 ML. Surface coverage has been known to influence
the adsorption energetics and configurations in other complex oxide
surfaces such as TiO2.[19] Lower
surface coverages merit future computational investigation; however,
we note that it is computationally expensive as it requires significantly
larger simulation cells. We also anticipate the structural moieties
present in the experiment to be more diverse and yield a wider energy
range of positions in defect levels weighted by their energetic stability
compared to those in our calculations. Additionally, our calculations
included only adsorbed and dissociated water and not surrounding water,
which may also influence the positions of the band edges and defect
level, particularly for the explicit BiVO4/electrolyte
interface.[44] Work is under way on dynamical
studies to better capture the influence of neighboring water species
and sample a greater number of possible adsorption configurations.
Conclusions
In summary, we presented
a combined experimental and computational
study on identifying spectroscopic signatures and structural moieties
for the adsorption and dissociation of water on single-crystalline
Mo:BiVO4(010) surfaces. We elucidated conditions for which
the adsorption of molecular and dissociated water species can occur.
In particular, we highlighted the utility of resonant photoemission
spectroscopy in ambient conditions (AP-ResPES) as a valuable tool
for directly probing elemental and orbital contributions to the electronic
states, which can be readily compared to DFT calculations. In this
study, AP-ResPES was used to understand the electronic structure of
electron polarons for Mo:BiVO4(010) surface in UHV and
in 0.05 Torr water vapor pressure. By comparing AP-ResPES spectra
for samples under UHV conditions and in 0.05 Torr H2O pressure,
we observed that the adsorption of water leads to an enhanced intensity
of the feature near the VBM when scanning the PE across the V L3 edge. We utilized first-principles calculations based on
DFT + U and hybrid functionals to computationally
investigate possible configurations of adsorbed water species that
would cause this increase in intensity. This strategy allowed us to
identify the structural moieties that are involved in the hydroxylation
of the BiVO4(010) surface. We found that both molecular
and dissociated water moieties may adsorb on the undoped (010) surface,
consistent with our AP-XPS measurements. More interestingly, we found
that excess electrons from n-type defects such as Mo are further stabilized
by the presence of adsorbed dissociated water to form electron polarons
localized on surface VO4 polyhedra. The additional stabilization
of electron polarons from adsorbed dissociated water on the electronically
doped BiVO4(010) surface explains the enhancement of the
above VBM feature in our AP-ResPES measurements of Mo:BiVO4(010) in 0.05 Torr water vapor. We anticipate similarities in the
presence of an in-gap electronic state and in the nature of hydroxylation
to occur when other n-type defects such as oxygen vacancies are present,
though further investigation is merited. In determining the hydroxylation
species expected on the Mo:BiVO4(010) surface, our study
paves the way for elucidating atomic-level mechanisms of water splitting
reactions and for subsequently understanding the oxide semiconductor/electrolyte
interface.Overall, our strategy enables us to disentangle the
contributions
of defects to the spectroscopic signals associated with the exposure
of the Mo:BiVO4 surface to water and to identify the relevant
structural moieties for an oxide surface in contact with water. We
demonstrated the utility of using AP-ResPES to probe the elemental
contributions of the (surface) electronic structure under ambient
conditions. Finally, we provided a combined experimental and computational
framework for systematically understanding the nature of adsorbed
species on complex oxide surfaces and their interactions with water.
Authors: P Giannozzi; O Andreussi; T Brumme; O Bunau; M Buongiorno Nardelli; M Calandra; R Car; C Cavazzoni; D Ceresoli; M Cococcioni; N Colonna; I Carnimeo; A Dal Corso; S de Gironcoli; P Delugas; R A DiStasio; A Ferretti; A Floris; G Fratesi; G Fugallo; R Gebauer; U Gerstmann; F Giustino; T Gorni; J Jia; M Kawamura; H-Y Ko; A Kokalj; E Küçükbenli; M Lazzeri; M Marsili; N Marzari; F Mauri; N L Nguyen; H-V Nguyen; A Otero-de-la-Roza; L Paulatto; S Poncé; D Rocca; R Sabatini; B Santra; M Schlipf; A P Seitsonen; A Smogunov; I Timrov; T Thonhauser; P Umari; N Vast; X Wu; S Baroni Journal: J Phys Condens Matter Date: 2017-10-24 Impact factor: 2.333