Abstract

First principles modeling of anatase TiO2 surfaces and their interfacial contacts shows that defect-induced trap states within the band gap arise from intrinsic structural distortions, and these can be corrected by modification with Zr(IV) ions. Experimental testing of these predictions has been undertaken using anatase nanocrystals modified with a range of Zr precursors and characterized using structural and spectroscopic methods. Continuous-wave electron paramagnetic resonance (EPR) spectroscopy revealed that under illumination, nanoparticle–nanoparticle interfacial hole trap states dominate, which are significantly reduced after optimizing the Zr doping. Fabrication of nanoporous films of these materials and charge injection using electrochemical methods shows that Zr doping also leads to improved electron conductivity and mobility in these nanocrystalline systems. The simple methodology described here to reduce the concentration of interfacial defects may have wider application to improving the efficiency of systems incorporating metal oxide powders and films including photocatalysts, photovoltaics, fuel cells, and related energy applications.
Introduction
The low cost, stability, simple processing, and non-toxicity of metal oxide particles have supported their increasing technological application across numerous fields.1−7 These include coatings, catalysis, and energy conversion, providing impetus for further study particularly of nano-sized powders and nanoporous film morphologies formed from nanoparticle sintering.8 The high surface area-to-volume ratio of nanoparticles renders surface and interfacial phenomena particularly prevalent. A key phenomenon is the nature and role of surface and interfacial defects in semiconductor oxides, which are pervasive at the nanoscale and depend on the synthetic and processing procedures during production.9−11 The role of surface and interfacial defects can be complex, but they are often considered detrimental to charge carrier mobility and the performance of, for example, photocatalysts and photoelectrochemical cells by trapping photo-initiated charge carriers and increasing electron–hole recombination.12 Other important applications of defect containing nanoporous metal oxide films include electron transport layers in solar cells and electrodes in fuel cells, where good charge carrier mobility is also an essential requirement.13−15
The trapping of charge carriers at interfacial defects is thought to be the primary reason for reduced electron and hole mobility compared to single crystals. For example, the mobilities of porous TiO2, ZnO, and SnO2 films have been shown to be between two and four orders of magnitude smaller than those of the corresponding single crystals.16 Unfortunately, notwithstanding their wide application, the charge mobility in nanoporous metal oxide films is generally poorly understood. Strategies to mitigate surface and interfacial defects are mainly empirically driven. Progress has been limited, and little is known, quantitatively, about the atomistic origin of charge trapping, which presents an obstacle to knowledge-led optimization of wide-ranging applications.
In general, many defect states are introduced into the bandgap of a semiconductor via distorted atomic arrangements compared to the idealized bulk, and clearly surface termination will drive significant distortion and possible introduction of deep-lying states with the potential to trap photoexcited electrons and holes and promote charge separation and/or recombination (Figure 1a) as well as reduce charge carrier mobility (Figure 1b). In principle, chemical modification with the introduction of ions can induce structural and electronic modifications to eliminate these deep-lying states (Figure 1c). Such modifications have been attempted previously but due to the lack of understanding on the origin of charge trapping or the effects of surface modification success has been limited.17−19
Figure 1.

(a) An illustration of possible charge trapping processes on photoexcitation of nanocrystalline TiO2. Photoexcited electrons and holes can become trapped at surfaces and interfaces (a corresponding energy level diagram for this process is also shown below). Here, the electron and hole are separated but if the electron and hole localize near the same defect, it can promote recombination. (b) An illustration of how electron trapping at interfaces and surfaces in n-type TiO2 can reduce long-range electron mobility by several orders of magnitude. (c) Suitable chemical modification of the nanoparticles to remove or reduce the depth of such traps should improve the long-range mobility.
The subject of this study, anatase TiO2, is a prototypical metal oxide with a multitude of applications dependent on charge mobility including solar cells, photocatalysis, and batteries.20−25 Both in and out of equilibrium (e.g., following photoexcitation or during non-equilibrium charge transport), the trapping of electrons and holes by defects plays a critical role in determining its (opto)electronic and photochemical properties. Defects in this respect include intrinsic point defects such as vacancies and interstitials, extrinsic impurity defects, surfaces (which themselves may include varied topological features such as steps, kinks, edges, and corners), and interparticle interfaces. A number of experimental techniques have been be used to probe charge trapping phenomena in anatase, including electron paramagnetic resonance (EPR) spectroscopy,26,27 photoluminescence spectroscopy,28 and scanning tunneling microscopy.29 However, a definitive understanding of charge trapping behavior has yet to emerge, in part as it is very challenging to disentangle the effects of the many different defects present in porous nanocrystalline films, as well as the fact there is significant variability in material properties depending on the synthesis procedure. There is however clear evidence for hole trapping in anatase27 as well as a band of electron trapping states below the conduction band minimum that has variously been attributed to surfaces, oxygen vacancies, titanium interstitials and hydroxyl groups.30,31
To address this important problem, there have been numerous first principles theoretical studies of charge trapping in TiO2 (usually using density functional theory) especially for the two most common polymorphs: rutile and anatase.32−34 Unfortunately, the picture with respect to charge trapping remains somewhat unclear due to numerous conflicting predictions depending on the approximations used (e.g., exchange-correlation approximation and supercell size). To be able to predictively model charge trapping at a range of defects in porous nanocrystalline films (some of which require very large supercells), it is important to employ both an efficient and carefully parameterized approach. We recently tackled this challenge by combining an efficient hybrid functional approach implemented in the CP2K code with an ab initio determination of the proportion of Hartree–Fock exchange.35
Subsequently, using this approach we have investigated a range of charge trapping defects and explored chemical modifications to reduce charge trapping and improve mobility. Herein, we describe a theory-led study of a chemical modification of TiO2 nanoparticles to reduce charge carrier trapping associated with surface and interfaces. Nanoparticle morphologies of anatase TiO2 have been prepared, characterized, and guided by theoretical predictions, subsequently chemically modified. Comparison of structural and spectroscopic data of unmodified and modified TiO2 nanoparticles and nanoporous film morphologies shows that Zr doping reduces the concentration of hole trap states on photoexcitation. Furthermore, conductivity and mobility of nanoporous films measured using electrochemical impedance spectroscopy indicate increased electron conductivity and mobility after Zr modification; however, other grain boundary factors dominate the reduced conductivity of nanoporous films compared to single crystals.
Methods
Density Functional Theory Calculations
We employ density functional theory with a hybrid functional approximation for exchange and correlation to model charge trapping in TiO2.32 To minimize self-interaction errors and thereby ensure accurate predictions of carrier localization, we parameterize the proportion of Hartree–Fock (HF) exchange in the functional to ensure linearity of the total energy with respect to electron occupation number (a known property of an exact functional). This approach gives excellent results for electron densities and energies when compared to exact many body solutions for model one-dimensional systems35 and for various TiO2 polymorphs gives results consistent with experiment. For anatase TiO2 (the focus of this study), the optimized HF proportion is 10.5% and we predict that electrons do not self-trap in the bulk crystal to form a small polaron but holes do (with a trapping energy of −0.2 eV and an unoccupied electronic state around 1 eV above the valance band maximum). These predictions are consistent with the high mobility of anatase single crystals as well as EPR and photoluminescence spectroscopy data.26−28,36 Full details of the approach including basis sets, supercell size, and parameterization of the proportion of HF exchange for different TiO2 polymorphs are provided in ref (32) and boundary structures for particle interfaces in refs (43, 47).
Synthesis of TiO2 Nanoparticles Stabilized with Surface Ligands (SL-TiO2)
The solvothermal method described by Dinh et al.37 was used for the synthesis of rhombic-shaped TiO2 nanoparticles stabilized by a mixture of surface ligands oleic acid (OA) and oleylamine (OAM). Briefly, titanium tetrabutoxide (1.78 g, 5 mmol), OA (7.18 g, 20 mmol), and OAM (6.76 g, 30 mmol) were mixed in EtOH (5.8 mL, 100 mmol) in a 40 mL Teflon cup with stirring. The cup containing the reaction mixture was transferred into a 100 mL Teflon-lined stainless steel pressure reactor containing 96 v/v% ethanol in deionized water (20 mL). The system was then heated at 180 °C for 18 h to give a white precipitate of SL-TiO2 that was washed with ethanol twice and dried in a vacuum oven at room temperature overnight.
Removal of Surface Ligands from SL-TiO2 Nanoparticles (TiO2)
SL-TiO2 (868 mg) was dissolved in hexane (25 mL), and the suspension was mixed with NOBF4 (1.39 mg, 12 mmol) in acetonitrile (25 mL). The resulting mixture was sonicated until the off-white color of the mixture became bright white and the TiO2 nanoparticles accumulated in the lower acetonitrile layer and separated by centrifugation at 4400 rpm for 10 min. The nanoparticles were then re-dispersed in dimethylformamide (20 mL) and flocculated using toluene (ca. 20 mL) and isolated using centrifugation. This procedure was repeated twice more, and finally the particles of TiO2 were stored in dimethylformamide (20 mL) to prevent agglomeration. TiO2 was recovered from the dimethylformamide suspension by centrifugation after adding excess toluene and used as required.
Zirconium Modification of TiO2 (Zr-TiO2)
TiO2 (120 mg) was suspended in ethanol (50 mL) containing H2ZrF6 (0.02, 1.00, or 5.00 mM) and stirred overnight at room temperature. The modified particles were collected by centrifugation at 4400 rpm for 10 min and then dried in a vacuum oven at room temperature without further washing to give Zr-TiO2. H2ZrF6-modified TiO2 was also prepared from an aqueous solution of H2ZrF6 using the same method. Similarly, ZrCl4 2H2O, ZrO2Cl2xH2O, and ZrO(NO3)2xH2O were used as other zirconium precursors to modify TiO2. The method and solvent used was identical to that applied for H2ZrF6 except for ZrCl4 2H2O, which was soluble in dry THF.
Acid Modification of TiO2
TiO2 (120 mg) was suspended in either 1 M HOAc (50 mL) or 2 mM HNO3 ethanolic solution (50 mL) and stirred overnight at room temperature. The particles were collected by centrifugation at 4400 rpm for 10 min and dried in a vacuum oven for 12 h at room temperature without further washing.
Preparation of Films for Electrochemical Measurements
TiO2 or Zr-TiO2 (120 mg) was dried under vacuum at 40 °C overnight in a vacuum oven and ground using an agate mortar and pestle several times using a few drops of EtOH to lubricate grinding. A 3:2 EtOH:H2O solution (200 μL) was added and ground further to obtain a slightly viscous slurry, and 10 μL of this slurry was put on a substrate (clean FTO), which was modified by the addition to two strips of Scotch tape (∼62 μm thick) covering 3 mm of the outer edges and immediately spread with a clean glass slide. After air drying, the films were sintered at 450 or 550 °C for 1 h at a heating ramp of 10 °C min–1 in air. Films were stable after sintering with no sign of delamination during handling.
Characterization Methods
Carbon, hydrogen, and nitrogen (CHN) analysis was performed using an Exeter Analytical Inc. CE-440 analyzer in conjunction with a Sartorius SE2 analytical balance. ICP-MS was undertaken at the University of Hull. Infrared spectra were recorded on a PerkinElmer FT-IR Spectrum Two spectrometer in the region of 4000–500 cm–1 collected over eight scans with a resolution of 1 cm–1. ATR-IR spectra were collected by first cleaning the crystal with isopropanol and measuring a blank spectrum to use as reference. Powder x-ray diffraction (PXRD) data was collected using a Bruker D8 powder diffractometer equipped with a Cu Kα source with a 0.02° step size. Brunauer–Emmett–Teller (BET) surface area measurements were collected using a Micromeritics ASAP 2020 Porosimeter. 30 mg of sample was heated to 150 °C for 4 h under nitrogen flow to degas and dry sample prior to weighing in triplicate. BET (N2) surface area analysis was performed on a five-point pressure range. Scanning electron microscopy (SEM) imaging and elemental analysis were carried out on a JEOL 7800F field emission microscope equipped with two Oxford Ultim Max EDX detectors and Aztec analysis software. High-resolution transmission electron microscopy images were acquired using a double aberration-corrected 200 keV JEOL 2200FS (scanning)/transmission electron microscope ((S)TEM) with a field emission gun equipped with a Thermo Scientific Noran 7 energy-dispersive X-ray (EDX) detection system. Sample preparation for TEM analysis was done by dusting sample powder following a literature procedure38 onto holey carbon films supported by 300 mesh TEM Cu grids (Agar Scientific, S147-3) thermally pre-treated.39 XPS measurements were taken using a Kratos Axis Supra using a monochromated Al-ray anode (1486.69 eV) and fitted with a charge neutralizer. All measurements were performed with a pressure of <10–8 Torr. Wide scans were performed using a pass energy of 160 and step size of 1 eV and high-resolution scans with a pass energy of 20 and step size of 0.1 eV. Data was analyzed using CASAXPS v2.3.15. O 1s peaks were fitted using a LA(1.53, 253) line shape. Ti 2p peaks were fit with varying FWHM, allowing for broadening effects due to Coster–Kronig transitions, and a doublet separation of 5.7 eV. Zr 3d speaks were fit with a doublet of 2.4 eV. All spectra were charge corrected to adventitious carbon at 284.8 eV. UPS measurements were recorded using a He(I) lamp attached to the chamber of the Supra, permitting analysis of the same spot as for XPS. Measurements were recorded with an emission current of 20 mA, and a pass energy of 10 eV. X-band continuous-wave electron paramagnetic resonance (CW-EPR) spectra were recorded on a JEOL JES-RE1X EPR spectrometer equipped with a cylindrical cavity. A modulation frequency of 100 kHz, modulation amplitude of 0.079 mT, sweep width of 25 mT, time constant of 0.03 s, and microwave power of 5 mW were generally used. Spectra were recorded in vacuum (10–4 to 10–5 mbar) at 77 K unless stated otherwise. All spectra were recorded using 100 mg of sample. Spectra are an average of five consecutive scans to improve signal to noise. The g-values were determined using a DPPH standard. A finger Dewar filled with liquid N2 was used to cool samples, which was continuously purged with He gas to reduce boiling. Samples (100 mg) were sintered inside the EPR tube and ex situ of the spectrometer using a homemade heating assembly controlled by a digital heating controller. Samples were illuminated in situ using a 100 W high-pressure mercury lamp with a 20 min pre-illumination period before EPR spectra were recorded. All electrochemical measurements were carried out in a homemade three-electrode electrochemical cell using the films as the working electrode, Pt wire as the counter electrode, and Ag/AgCl (3 M NaCl) as the reference electrode at room temperature. The electrolyte was purged with N2 for 30 min prior to every voltametric experiment. A BioLogic SP-150 potentiostat controlled by EC-Lab (V11.20) software was used to perform all the measurements. Cyclic voltammetry experiments were initiated at the most positive potential and swept toward a more negative value at a scan rate of 10 mVs–1 (unless otherwise specified). Electrochemical impedance spectroscopy (EIS) data were recorded from 10 kHz to 10 mHz at an amplitude of 5 mV with 10 points per decade at open circuit potential (OCP) and at various DC potentials (vs Ag/AgCl, 3 M NaCl). All EIS experiments were carried out using air saturated electrolyte. EIS data analysis including Mott–Schottky analysis was performed using EC-Lab software.
Results
Theoretical Screening of Potential Dopants to Reduce Surface and Interfacial Charge Trapping
Our previous theoretical calculations using density functional theory have provided atomistic insight into charge trapping in nanoporous anatase TiO2 films and identified prospective chemical modifications to reduce charge trapping and improve mobility.32,35,40−44 These results and new calculations (see below) have been used to guide the experimental work described herein.
Previous work has shown that one can model the structure, stability, and charge trapping properties of extended surfaces of anatase TiO2 using the periodic slab approach. By considering all low index surface terminations, the equilibrium crystal shape for anatase TiO2 nanocrystals is obtained via the Wulff construction (Figure 2a). These low index surfaces are predicted to trap holes in the bulk and more strongly at surfaces, by up to 1 eV, whereas electrons do not trap.40,41
Figure 2.

(a) The predicted equilibrium crystal shape of anatase TiO2 exposing primarily {101} and {001} facets. Surface slab models for the (101) and (103) surfaces as well as a model of a finite nanoparticle are also shown. Blue circles indicate the sites predicted to trap electrons, which include steps, edges between facets, and corners. (b) Supercell models for the Σ3 (112) twin boundary and (103) grain boundary. (c) Substitution of undercoordinated surface Ti atoms with Zr, which is predicted to be a plausible strategy to reduce electron trapping and improve mobility. Titanium atoms are represented by green spheres and oxygen atoms by red spheres.
Of course, real nanoparticles are unlikely to be perfectly faceted in this way and one should expect steps and other topological defects on the surface. Higher-index stepped surfaces can be used as a simplified model for such defects as indicated schematically in Figure 2a (left), but lower-symmetry topological defects such as edges and corners are more challenging to model using extended surfaces. Alternatively, a finite (albeit small compared to experiment) nanoparticle as shown in Figure 2a (right) reveals electron trapping at a wide range of undercoordinated surface Ti sites, giving rise to a band of states 0.5–1.0 eV below the conduction band minimum.42
Similarly, interfaces between particles can be modeled (Figure 2b), and consistent with the results for low index surfaces, the experimentally observed high symmetry Σ3 {112} twin boundary45,46 is predicted to weakly trap holes by 0.15 eV, but not electrons.43 More recently, lower-symmetry {310} and {103} grain boundary defects in anatase have been predicted to trap electrons, which was confirmed by electron energy loss spectroscopy measurements.47
In summary, low index surfaces and interfaces do not have a strong tendency to trap electrons but are favorable locations for hole trapping, whereas undercoordinated and/or strained Ti ions near steps, edges, corners, and lower symmetry interfaces are predicted to trap electrons. These results indicate that the charge trapping properties of surface and interface defects are quite similar, suggesting that surfaces may be used as simple models for interfaces. Subsequently, we performed a systematic screening of possible chemical modifications to the {103} surface. This surface exposes low coordinated atoms at the surface steps and thus should provide a more representative model of more general nanoparticle surfaces and interfaces to identify strategies to eliminate the deep electron traps, which limit the mobility of n-type anatase TiO2.44 Two approaches were considered: surface cation substitution (V, Sb, Sn, Zr, and Hf) and alkali metal doping (Li, Na, K, Rb, and Cs). We found that Zr and Hf are effective in preventing electron trapping (Figure 2c) and that alkali metal doping is also predicted to improve electron mobility via the donation of electrons to fill deep trap states. Consideration of possible experimental approaches to test these predictions (see below) identified Zr substitution as a plausible strategy. We have therefore again used analogous first principles calculations to explore the possibility that Zr modification of surface and interfaces can reduce hole trapping on the {103} surface. For the unmodified surface, we predict that holes can trap to form small polarons and the most stable site for hole trapping is in the sub-surface region with a trapping energy of −90 meV with respect to a small hole polaron localized on a bulk-like O site (see sites labeled Ot and Ob in Figure 3). On Zr modification of the surface, the trapping energy is reduced significantly (to −4 meV), indicating a reduced tendency for holes to trap in the surface region.
Figure 3.

The {103} anatase TiO2 surface modified with Zr (a single surface Ti is substituted for Zr). The most favorable oxygen site for trapping a small hole polaron is labeled as Ot, while a bulk-like O site in the center of the surface slab model is labeled Ob. Titanium atoms are represented by green spheres and oxygen atoms by red spheres.
Based on these predictions, we focused on the chemical modification of TiO2 nanoparticles via Zr substitution to assess the impact on charge trapping and mobility.
Synthesis, Composition, and Structural Characterization of TiO2 and Zr-TiO2
To restrict the number of surface structures and range of interfacial interactions, crystalline TiO2 nanoparticles of a single polymorph with narrow size dispersity were targeted. In addition, to increase the real-world relevance, no specialist precautions were undertaken to prevent ambient surface contamination during synthesis and processing of the nanoparticles. Anatase TiO2 nanoparticles were prepared using a reported procedure37 via hydrolysis of titanium(IV) butoxide in the presence of surface binding ligands of OA and OAM to give SL-TiO2 (where SL denotes the presence of surface ligands). Surface ligands were then removed by treatment with NOBF4 to give TiO2. FT-IR spectroscopy (Figure S1) of TiO2 indicates removal of organic moieties and the absence of [BF4]− on the surface. CHN elemental analysis (Table S1) gives ∼2–3 wt % C and 0.4 wt % H attributable to adsorbed DMF, which is observed in the IR spectrum (Figure S1). SEM (Figure 4a) and (S)TEM) (Figure 4b,c) of SL-TiO2 and TiO2 show an average particle size of ca. 15–20 nm and rhombic morphology with {101} predominant facets (Figure S2a-c), which is consistent with reported theoretical predictions.40 Selected area electron diffraction (SAED) (Figure S2d-e) shows reflections consistent with single crystalline particles of the anatase polymorph, and bulk phase purity was confirmed using PXRD (Figure S3). The surface area determined from a N2 adsorption isotherm is 107 m2g–1, which on sintering at 550 °C reduces to 63 m2g–1 (Figure S4). TEM analysis of sintered TiO2 shows that particle growth does not occur but new particle–particle interfaces are formed (Figure 4c,d).
Figure 4.
(a) SEM of SL-TiO2, (b) TEM of SL-TiO2 nanoparticles, (c, d) TEM of TiO2 sintered at 550 °C in air, and (e, f) TEM of Zr-TiO2 (1.00 at%) sintered at 550 °C in air.
Practically, it is very challenging to obtain selective and quantitative surface modifications corresponding to a theoretical predictive model. Our simpler strategy was to disperse TiO2 nanoparticles in a solution containing a soluble Zr precursor with, ideally, molecular speciation, which can adsorb onto the surface of TiO2, thus limiting surface coverage to a sub-monolayer. Subsequent heating would drive surface and interfacial structure changes commensurate with the predicted thermodynamically stable structures leading to a reduction in the number of observable trap states.
Surface doping of TiO2 nanoparticles with Zr was undertaken after surface ligand removal and before any subsequent thermal processing. Various solvents and Zr precursors (ESI) were screened at a range of concentrations to obtain stable dispersions of TiO2 nanoparticles and a Zr precursor. Dispersions were stirred for 12 h, and the Zr-modified TiO2 powder (Zr-TiO2) isolated via centrifugation. This powder was then either sintered or re-dispersed and used to form nanoporous films using a doctor blade method, which were also then subsequently sintered. To optimize surface doping with Zr, the trap state speciation and concentration were semi-quantitatively screened using EPR spectroscopy, as described below. Ultimately, an ethanolic dispersion of TiO2 nanoparticles containing H2ZrF6, sintered at 550 °C, gave the greatest reduction in surface and interfacial trap states.
Three concentrations of H2ZrF6 from micromolar to millimolar were used to target sub-monolayer coverage of TiO2 nanoparticles based on estimates of the surface:bulk ratio of Ti atoms (ESI). Inductively-coupled plasma mass spectrometry (ICP-MS) gave Zr concentrations of 0.12, 1.00, and 3.15 at %, respectively (Table S2). Using 1.00 at% as an example, if it is assumed that all of the Zr atoms are present at the surface, a coverage of 0.7 Zr atoms per nanometer squared is estimated (ESI) indicating sub-monolayer coverage. Further analysis by TEM (Figure 4e,f) and N2 adsorption surface area determination (Figure S4) show that sintered (550 °C) powders of Zr-TiO2 exhibit no morphological or textural differences when compared to TiO2. PXRD data are also essentially identical (Figure S3). STEM analysis with elemental mapping using energy-dispersive x-ray (EDX) analysis (Figure S5) shows no evidence of Zr clustering.
X-ray photoelectron spectroscopy (XPS) was performed before and after sintering at 550 °C of TiO2 and a Zr-TiO2 series with Zr concentrations of 0.12, 1.00, and 3.15 at %, respectively. Ti 2p spectra were indistinguishable for all samples (Figure S6) showing peaks with a binding energy (BE) at 458.6 and 464.2 eV corresponding to Ti 2p3/2 and Ti 2p1/2, which is similar to reported data for TiO2,48 indicating no significant differences in the chemical environment of Ti(IV) ions or detectable quantities of Ti(III).49,150 O 1s spectra (Figure S7) are also indistinguishable from each other and that reported for TiO2.48,49 Before sintering, Zr 3d spectra showed two peaks at 183.1 and 185.4 eV attributable to Zr3d5/2 and Zr3d3/2 for the three Zr-containing samples, albeit weakly for the lowest concentration (Figure 5a). These data indicate that the speciation of the adsorbed Zr derived from H2ZrF6 is the same for each concentration. Furthermore, the BE is greater than for, e.g., ZrO2, consistent with fluoride coordination.50 After sintering at 550 °C, the Zr 3d spectra exhibit clear concentration-dependent differences indicative of new speciation (Figure 5b). The highest concentration (3.15 at%) shows peaks at 183.4 and 185.8 eV, which are similar to reported data for ZrO2,51,52 whereas 1.00 at% exhibits lower BE peaks at 181.9 and 184.3 eV. The lower BE observed for sintered Zr-TiO2 (1.00 at%) is consistent with a more electron-rich environment for the Zr(IV) ions compared to ZrO2 consistent with a lower coordination number of surface bound Zr ions as envisaged by the theoretical predictions. Furthermore, compositional analysis by XPS (Table S3) after sintering shows that the Zr concentration decreases for all sintered Zr-TiO2, indicating some diffusion of Zr below the surface. For the lowest concentration (0.12 at%), the Zr content is below the detection limit after sintering (Figure 5b).
Figure 5.

Zr 3d X-ray photoelectron spectra of (a) unsintered and (b) sintered (550 °C) Zr-TiO2 (with 0.12, 1.00, and 3.15 at% respectively. Open circle (o) raw data, red line (—) overall fit, green (—), and blue (—) lines are peak fits, respectively.
Electronic Properties and Charge Trapping Comparison of TiO2 and Zr-TiO2
Ultraviolet photoelectron spectroscopy (UPS) was used to probe the valence band and surface electronic properties of TiO2 and Zr-TiO2 after sintering at 550 °C. For sintered TiO2 (Figure S8), the valance band edge (EVB) is 2.6 eV vs Au (−7.7 eV vs vacuum) with an average work function (ϕ) of 6.6 eV. These data are consistent with studies of various polycrystalline anatase morphologies and single crystal surfaces.53 For example, EVB = 2.5 eV and ϕ = 6.5 eV for the (001) surface of anatase single crystals.54 Sintered Zr-TiO2 exhibit greater EVB and ϕ (−7.9 and 6.6 eV (Zr = 0.12 at%), −8.2 and 6.8 (1.00 at%), and – 8.2 and 7.1 (3.15 at %). In comparison, ZrO2 has reported EVB = ca. −8.4 eV.55,56 Reported work function data for ZrO2 varies widely, which limits confident comparison;57 however, the data here are within range. Collectively, these data are consistent with the surface more closely approximating that of ZrOx as the Zr concentration increases. In addition, the low energy region of sintered Zr-TiO2 exhibits new peaks in comparison to sintered TiO2 (Figure S8), reflective of changes to surface states; however, UP spectra of polycrystalline materials contain contributions from many surfaces preventing unequivocal assignment. Nevertheless, previous experimental and theoretical work on single crystal surfaces of TiO2 have attributed peaks at 11 eV to surface OH groups, which is present for TiO2 and all Zr-TiO2.56,58 Below, 10 eV peaks are attributed to bonding and non-bonding states of O 2p and those hybridized with Ti 3d orbitals, which are clearly modified on the addition of Zr to TiO2 reflecting surface changes.
EPR spectroscopy of TiO2 and Zr-TiO2, both before and after sintering, was used as a simple semi-quantitative measure to assess the evolution of trap states as a function of Zr concentration and processing parameters. In addition, EPR was undertaken in the dark and under UV illumination to study the consequence of Zr doping on electron and hole trapping of TiO2 relevant to the use of TiO2 as an electron transport layer, and as a photocatalyst under illumination. EPR spectra of TiO2 before sintering in the dark (Figure 6a(i)) is almost featureless with occasional appearance of a broad symmetric signal. Continuous illumination with UV light shows a sharp axial signal, E1 consisting of two components, E1(g⊥) = 1.992 and E1(g∥) = 1.962, attributed to trapped electrons at bulk Ti3+ sites in anatase, which are in agreement with literature reports (Figure 6a(ii)).26 The spectrum also contains a broad signal, H1 with g value ranging from 2.0061 to 2.0117, which is consistent with oxygen-centered radicals reported in the range from 2.00 to 2.03 for surface hole traps of hydrated TiO2-containing OH– groups. For example, photogenerated holes are trapped at the lattice oxygen atoms located in the subsurface layer of hydrated anatase particles attributed to Ti4+O2–Ti4+OH–.59
Figure 6.

(a) EPR spectra of TiO2. (i) in the dark before sintering; (ii) under continuous UV illumination before sintering; (iii) in the dark after sintering at 550 °C; (iv) under continuous UV illumination after sintering at 550 °C. All spectra were recorded at 77 K under vacuum (<10–4 mbar). (b) (i) Proposed processes on illumination before sintering. Photogenerated electrons in TiO2 are trapped by bulk Ti4+ to form Ti3+ (E1), whereas the holes migrate and are trapped by surface OH– sites (H1). (ii) Proposed processes on illumination after sintering at 550 °C. The photogenerated holes are mostly trapped at the interfacial sites (H2), whereas some of the photogenerated electrons are either partially trapped at the interface or react with trapped NO (loss of N1 signal).
In comparison, the dark spectrum of sintered TiO2 (Figure 6a(iii)) consists of a rhombic signal N1 g1 = 2.0037, g2 = 1.9997, g3 = 1.92635 with hyperfine splitting constants of 0.71 (A1), 33 (A2), and 14 G (A3), respectively. A similar set of dark signals is observed when SL-TiO2 is directly sintered in air without using NOBF4 treatment for surface ligand removal (Figure S9). Spectral simulation (Figure S10) and comparison with literature data60,61 are consistent with N-doping of TiO2 resulting in trapped NO molecules in TiO2 micro voids, which are surface bound at 77 K. Continuous UV illumination of sintered TiO2 at 77 K generates signal H2 with g values ranging from 2.032 to 2.002 (Figure 6a(iv)), which on warming to room temperature in the dark reverts back to the dark signal (Figure 6a(iii)). Simulation (Figure S11) suggests that there are at least three components to the spectrum and based on the simulated g-values and the quenching experiments described below, the data are consistent with trapped holes associated with Ti-dioxo, -oxo, and -hydroxy containing species.59 To gain more insight into the nature and location of the photogenerated H2 signal, electron and hole quenching experiments were performed using O2 and 2-propanol vapor, respectively (Figures S12 and S13). The H2 signal is unaffected by the presence of O2 or 2-propanol vapor, indicating that the trapped holes of H2 are located at the interfacial or subsurface region and are not accessible to external probe molecules.
The evolution of EPR signals attributable to trapping after Zr doping was used to conveniently study the effect of Zr precursor, concentration, and processing parameters. EPR of Zr-TiO2 (1.00 at%) before sintering, in the dark, and under UV illumination (Figure 7a(i) and (ii)) is essentially identical to TiO2 (Figure 6a(i) and (ii)), giving rise to similar sets of peaks, E1 (g⊥ = 1.991, g∥ = 1.960) and H1 (g ranging from 2.007 to 2.041), indicating that adsorbed H2ZrF6 does not affect the intrinsic trapping sites of TiO2. After sintering at 550 °C, the EPR spectrum of Zr-TiO2 (1.00 at%) in the dark (Figure 7a(iii)) is also very similar to TiO2 (Figure 6a(iii)), which also indicates that bulk F– doping has not occurred that is known to give an intense signal in the dark characteristic of Ti3+.62 However, under illumination, there are pronounced differences between sintered Zr-TiO2 (Figure 7a(iv)) and sintered TiO2 (Figure 6a(iv)). The intensity of the signal (H2) attributed to trapped holes is significantly reduced for Zr-TiO2 with a smaller signal E revealed at a g-factor similar to but distinct from E1 (Figures 6a(ii) and 7a(ii)). The significant drop in the H2 trap state signals suggests effective modification of the interface and subsurface structure to remove hole trap states of TiO2, whereas bulk Ti3+ electron traps are unaffected (Figures 6b and 7b), consistent with theoretical prediction.
Figure 7.

(a) EPR spectra of Zr-TiO2 (1.00 at%). (i) Before sintering in the dark; (ii) before sintering under continuous UV illumination; (iii) after sintering at 550 °C in the dark; (iv) after sintering at 550 °C under continuous UV illumination. All spectra were recorded at 77 K under vacuum (<10–4 mbar). (b) (i) Proposed processes on illumination before sintering. Surface adsorption of ZrF62– does not affect the intrinsic charge trapping processes in TiO2; (ii) proposed processes on illumination after sintering at 550 °C. Zr atoms at the interfacial region reduce charge trapping. All spectra were recorded at 77 K under high vacuum (<10–4 mbar).
Of the three Zr concentrations investigated for Zr-TiO2 (0.12, 1.00, and 3.15 at%), all gave reduced EPR signal intensities of hole signals under illumination (Figure S14a–d) and Zr-TiO2 (1.00 at%), the greatest EPR signal reduction in the dark (Figure S14c). Three other Zr precursors, ZrCl4 2THF, ZrO(NO3)2xH2O, and ZrOCl2xH2O, were also investigated (Figure S15–17), which showed significantly less reduction of the hole trapping signal of TiO2 compared to H2ZrF6. Of the Zr precursors investigated, H2ZrF6 is unique as a strong acid and therefore the effect of acid on TiO2 was studied by addition of nitric and acetic acids at equivalent pH to that used with H2ZrF6. In addition, Zr-TiO2 was also treated with ammonium bicarbonate to neutralize acidic moieties before sintering. On sintering at 550 °C, both acid-treated TiO2 and neutralized Zr-TiO2 showed some reduction in the H2 hole signal (Figures S18 and 19). These experiments suggest that acid can also induce structural changes to reduce hole trapping sites in addition to Zr doping. A further control examined addition of H2ZrF6 to sintered TiO2 followed by further sintering at 550 °C. No significant change in the EPR spectrum is observed (Figure S20) with retention of a large hole trapping signal (H2). This observation supports the hypothesis that the photogenerated hole trapping signals (H2) of sintered TiO2 are not located at the exposed surface but at the particle-particle interfaces.
Analogous surface treatment of commercial anatase TiO2 powder with 1 mM ethanolic H2ZrF6 prior to sintering was also studied. Sintering commercial anatase at 550 °C gives a similar EPR spectrum to sintered TiO2 with a distinct hole trapping region (Figure S21), although the EPR signals are more complex reflecting greater heterogeneity. Nevertheless, analogous treatment with 1 mM ethanolic H2ZrF6 prior to sintering also shows quenching of the hole trapping signal after sintering (Figure S22), suggesting that H2ZrF6 treatment can be used more generally to suppress localization of photogenerated holes at the grain boundaries of TiO2.
Interparticle Charge Trapping of TiO2 and Zr-TiO2 Nanoporous Films
The electronic properties of nanoporous films were studied using electrochemical methods that support charge injection to investigate if reducing interfacial trapping of electrons improves electron mobility.63−66 Nanoporous films of TiO2 and Zr-TiO2 were prepared on conducting fluorine-doped tin oxide (FTO)-coated glass substrates using a doctor blading method (Figure S23). No organic binder was used in order to reduce contamination of the TiO2 surface and interfaces formed on sintering. Films were initially studied using cyclic voltammetry (CV) and EIS after first sintering in air at 450 °C and then subsequently at 550 °C to probe effects due to the film morphology and microstructure. CV of TiO2 films in 0.1 M HClO4 shows a cathodic current rapidly increasing after 0.1 V (vs Ag/AgCl) (Figure 8a), suggesting incremental electron filling of states below, and in, the conduction band (CB), as described in literature reports.67−70 For both sintering temperatures, a broad peak at −0.15 V is observed in the first cathodic scan (Figure 8b), which is absent in subsequent scans and reappears after additional sintering (Figure S24). The FWHM of this cathodic peak is more than 90 mV, which is consistent with that reported for filling of states below the CB of TiO2.67,68 Cathodic reduction of Ti4+ to Ti3+ is supported by the complementary intercalation of H+, which is limited by the film microstructure.69 Films sintered at 550 °C exhibit a shift to more positive potential by 30 mV (Figure 8b), the cause of which is currently unknown but presumably reflects changes to surface and interfacial states observed similarly for EPR data under illumination (Figure 5a). Similar peaks and behavior are observed for films of Zr-TiO2 (1.00 at%) (Figure 8c,d) sintered at 450 or 550 °C including a positive shift after sintering at 550 °C and peak loss after the first cycle (Figure S25).
Figure 8.
Cyclic voltammograms (first cycle) of (a, b) TiO2 films sintered at 450 and 550 °C and (c, d) Zr-TiO2 (1.00 at%) films sintered at 450 and 550 °C. (b) and (d) are expanded regions of the voltammograms from (a) and (b), respectively. Pt-mesh counter electrode, Ag/AgCl (3 M NaCl); reference electrode, electrolyte 100 mM HClO4 (aq); scan rate 20 mVs–1.
The charge consumed in the cathodic half cycle is associated with the accumulation of electrons in TiO2 and reflects the trap state concentration at the surface and grain boundary region.69 Integration of the peaks and accounting for film thickness, density, and particle size allows the estimation of the average number of states filled per particle (Figure S26, Table S4). The data indicate that addition of Zr results in fewer states that can be filled. For example, TiO2 and Zr-TiO2 (1.00 at%) sintered at 550 °C are estimated to have 54 and 37 electrons per particle, respectively.
EIS of TiO2 and Zr-TiO2 (1.00 at%) nanoporous films sintered at 450 and 550 °C was performed in 0.1 M HClO4 solution at potentials across the main features of the voltammograms (Figure S27). The flat band potentials of TiO2 and Zr-TiO2 (1.00 at%) are −0.108 and – 0.179 V (vs Ag/AgCl), respectively (Figure S28), and at more positive potentials, the films behave as an insulator.63 At more negative potentials than ca. −0.3 V, a metallic-like behavior is observed as the CB is filled (Figure 8). Typical Nyquist plots of TiO2 and Zr-TiO2 (1.00 at%) (Figure S27) can be modeled using a transmission line model equivalent circuit. The main feature is a high-frequency elbow region that can be used to calculate the electronic conductivity of the film (ESI). The electronic transport within these nanoporous films is likely to be mainly diffusive in nature; hence, electron mobility can be extracted from the conductivity.
Comparison of the calculated conductivity and mobility of TiO2 and Zr-TiO2 (1.00 at%) from EIS measurements (Table 1) show similar values. Analogous measurements of Zr-TiO2 (3.15 at%) did exhibit a 40% increase in conductivity and mobility; however, it should be noted that the absolute magnitudes of all the values are at the lower end of the reported range measured for TiO2 morphologies using a range of techniques (Table S6). Nevertheless, the trends indicated in Table 1 suggest further optimization of Zr modification may be possible for increasing electron conductivity.
Table 1. Conductivity and the Mobility Values Obtained from EIS Measurements.
| sample | sintering temp. (°C) | conductivity (S cm–1) (× 10–6) | mobility (cm2 V–1 s–1) (× 10–7) |
|---|---|---|---|
| TiO2 | 450 | 1.41 | 0.88 |
| TiO2 | 550 | 1.76 | 1.09 |
| Zr-TiO2 (1.00 at% Zr) | 450 | 1.55 | 0.97 |
| Zr-TiO2 (1.00 at% Zr) | 550 | 1.80 | 1.12 |
| Zr-TiO2 (3.15 at% Zr) | 450 | 2.19 | 1.37 |
| Zr-TiO2 (3.15 at% Zr) | 550 | 2.45 | 1.53 |
Discussion
First principles modeling of select anatase surfaces and interfaces shows that spontaneous structural distortions occur, which result in electron and hole trap states within the band gap that can be alleviated by Zr doping. Of course, real crystals contain a very complex arrangement of surfaces and microstructures, which include dislocations, steps, edges, and vertices that cannot be exhaustively modeled individually, nor their combinations at interfaces or the presence of impurities present in real-world materials. Nonetheless, the general principle can be hypothesized that a sub-monolayer of atomically dispersed Zr can reduce the overall concentration of interfacial trap states (both electrons and holes), although this does not exclude effects of Zr on other types of defects not considered here. Experimentally, we have used faceted nanoparticles of anatase to increase the surface area available for study and have developed a method to disperse Zr at a sub-monolayer concentration. Compositional and structural analyses show that on sintering Zr is primarily located at particle surfaces and by implication the interfaces of TiO2 nanoparticles. EPR in the dark under equilibrium conditions indicates the absence of trapped electrons; however, under illumination significant hole-trapping occurs, which dominates. EPR of Zr-TiO2 in the presence of hole and electron scavengers and the addition of Zr to previously sintered TiO2 indicate that the photogenerated hole trap states are present in the region of the interparticle interfaces. These observations have implications for photocatalytic and photoelectrochemical applications where coatings of preformed powders and nanostructured electrode films are used to improve the efficiency often attributed to the reduction of surface defects and consequential reduction in electron–hole recombination.71−73 However, coatings also alter the surface chemistry and catalytic sites where the redox chemistry of the reaction of interest takes place, providing an alternative interpretation in the absence of further evidence.74−76 This study shows that, for the anatase nanoparticles investigated here, interfacial hole defects dominate on photoexcitation and doping sintered powders with Zr has little effect on these defects. Currently, the photocatalytic and photoelectrochemical relevance of these interfacial defects is not clear; however, doping before sintering and the formation of interfaces significantly reduce the interfacial defects, providing a simple methodology for potential further performance gains.
Nanoporous films were also prepared using simple doctor-blading followed by sintering, and electron injection using electrochemical methods was used to study the effect of Zr doping on trap states. CV measurements indicate the presence of states below the CB that can potentially trap electrons, and these are also reduced by Zr doping, which is reflected in the increased conductivity and mobility of the films as Zr doping is increased. However, the electrical conductivity and mobility of metal oxide films relevant to use in a device are determined by a complex array of interdependent phenomena including film morphology and thickness, particle size, interfacial contacts, and measurement area, which are represented by the range of reported values for TiO2 films for conductivity (10–3 to 10–8 Scm–1) and mobility (10–7 to 10 cm2 V–1 s–1) (Table S5). These are also very dependent on the timescale of the experimental method used to measure conductivity or mobility. The electrochemical technique used for conductivity and charge carrier mobility in the present study is based on a large perturbation at longer time scales reflective of their practical use in many devices. However, the nanoparticles used here give rise to porous films on FTO with a large number of particle interfaces giving inherently low conductivity and mobility. The mobility values extracted from these measurements are representative of all the underlying processes including trapping–detrapping, recombination, and intraparticle transport and do not necessarily reflect only the interparticle transport processes across the particle–particle interface. Nevertheless, the addition of Zr in a sub-monolayer concentration results in improvement in conductivity and mobility with further opportunities for optimization.
Conclusions
First principles modeling has identified interfacial defects of anatase TiO2 arising from spontaneous structural distortions, which can be corrected in silico by doping with Zr. This hypothesis can be partially generalized experimentally to more complex surfaces and interfaces present in anatase nanocrystals sintered as powders and nanoporous films. Spectroscopic and electrochemical data indicate that Zr doping reduces the concentration of defects responsible for hole trapping on photoactivation and electron trapping on charge injection. For the latter, although bulk conductivity and electron mobility are improved, other factors detrimental to charge-carrier transport dominate in these films. Nevertheless, the present study describes simple methodology to achieve sub-monolayer coverage of TiO2 surfaces and interparticle interfaces and there is the opportunity for additional experimental optimization varying concentrations, solvents, and precursors to further reduce the concentration of defects. More generally, the theory-led strategy described here has been shown to successfully guide improvement in materials property, which in principle can be used to address defect correction in other nanoporous oxides, ultimately leading to improved efficiencies in systems incorporating conductive metal oxide films including solar and fuel cells.
Acknowledgments
The authors thank the University of York and EPSRC for financial support (EP/P006051). This work made use of the facilities of Archer, the UK’s national high-performance computing service, via our membership in the UK HPC Materials Chemistry Consortium, which is funded by EPSRC (Nos. EP/L000202, EP/R029431). This work also made use of the Viking Cluster, which is a high-performance computer facility provided by the University of York. All data created during this research are available by request from the University of York Research database.
Supporting Information Available
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpcc.2c06927.
Materials sources, characterization methods, estimation of Zr surface concentration, elemental analysis, adsorption isotherms, ATR-IR, EPR, XP, and UP spectroscopy, and electrochemistry (PDF)
Author Contributions
The manuscript was written through contributions of all authors. All authors have given approval to the final version of the manuscript. R.E.D., V.C., and K.P.M. contributed equally to this work. R.E.D., V.C., and K.P.M designed the experiment; J.D. performed the preparation, characterization, and electrochemical experiments; L.L. and V.K.L. performed electron microscopy analysis. M.I. performed the XPS and UPS analyses; and K.P.M. and J.C. performed theoretical calculations.
The authors declare no competing financial interest.
Supplementary Material
References
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