# Physical Properties of Macroporous Tungsten Oxide Thin Films and Their Impact on the Photocurrent Density

Authors: I. Riech; M. Acosta; M. A. Zambrano-Arjona; F. Peñuñuri; M. Rosado-Mendoza; E. Marín; P. Rodríguez-Fragoso; J. G. Mendoza-Álvarez
Journal: International Journal of Photoenergy
 (2013)

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## Abstract

Tungsten trioxide (WO3) films were prepared using polystyrene spheres of two different diameters as a template in order to create porous layers. X-ray diffraction data and electron microscopy images show that annealed films exhibit polycrystalline structure with monoclinic phase and pore size of approximately hundred nanometers. The optical band gap energies have been determined by photoacoustic spectroscopy as 3.17 eV, and this value was not affected by sample morphology. Low temperature photoluminescence spectra exhibit broad band in the blue region. Deconvolutions of PL spectra show that there are two transitions which intensity depends on thin film pore size. We discuss the possible origin of this emissions associated with oxygen vacancies and surface states. A comparative study of the WO3 films used as photoanodes is presented and correlated with PL results.


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## Body

## 1. Introduction

Among transition metal oxides, tungsten trioxide (WO3) has been extensively investigated due to its structural and physical properties. The experimental evidence of advantages of using porous films in a great variety of devices has been reported by several authors [1–3]. Such films are suitable for those applications where large effective surface area is needed to enhance the contact between an electrode and electrolyte, as in the case of photoelectrochemical cells, or between thin film and absorbed gas, as in the case of gas sensors. Taking into account the pore size, materials are classified as microporous, mesoporous, and macroporous. Most of the reported papers are about the study of WO3 thin films with porous size smaller than 50 nm (micro- and mesoporous). Less attention have been paid to macroporous tungsten oxide films, despite they have a wider range of potential applications as an ion hosting material in electrochromic devices [4–6], chemical sensing [7], or photocatalysts [8]. According to the literature reports, the syntheses of the material and its morphological and structural properties have been investigated in much greater detail than electronic properties. However, in many applications, such as photocatalytic, it is important to control recombination centers which limit the efficiency by the quick recombination of photogenerated carriers through it.To prepare WO3 thin films, several preparation techniques have been used: sol-gel [9], chemical vapor deposition [10], and radio frequency (RF) sputtering [11], among others. The sol-gel technique has advantages over other deposition techniques because it provides low temperature growth and low cost. One of the methods to obtain porous thin films by sol-gel technique is based on templating strategy which implies sol-gel synthesis, either within the porous of a membrane or around polystyrene spheres [4].In the present study, we have obtained macroporous tungsten oxide films by sol-gel with two different porous sizes using polystyrene microspheres (PS) as a template. We investigated the relationship between morphological and physical properties of these porous layers, and we compared them, for reference, with those of a compact layer grown in similar conditions. To evaluate the optical properties as a function of thin film morphology, photoacoustic (PA) and photoluminescence (PL) spectroscopy were used.One of the advantages of the PA spectroscopy (PAS) technique in this case is its less sensitivity to light scattering effects, which are present in porous materials with the consequent difficulty to obtain information about their optical absorption. The PA signal is generated by sample heating during the absorption of intensity modulated light in a gas enclosed with the sample in the PA chamber, becoming a noninvasive and contactless method. In previous work photothermal techniques have been applied to determine optical band gap and thermal properties of nonporous WO3 thin films [12, 13]. On the other hand, the photoluminescence (PL) technique is well known as a technique which allows the detection of radiative transition processes [14]. PL spectra of WO3 thin films measured at room temperature have been reported previously, but only few authors as Parachini and Schianchi reported PL spectra of WO3 films measured at low temperature [15].In this work, we applied PA and low temperature PL techniques to evaluate electronic transition processes of porous thin films and reported the correlation between pore size and optoelectronic properties, in particular, the study of band gap and subbandgap recombination.


## 2. Experimental Details

### 2.1. Samples Preparation

Tungsten oxide thin films were grown on glass Corning 1737 coated with Indium Tin Oxide (4–10 Ω sheet resistance) using a sol-gel spin-coating technique. The substrates were ultrasonically cleaned with distilled water, acetone, and isopropanol, and then they were dried at room temperature. Anhydrous tungsten hexachloride WCl6 (Aldrich 99.9%) was used as the precursor and isopropanol (J.T.Baker 99.92%) as the solvent. The solution was prepared dissolving 2 g of WCl6 in 20 mL of isopropanol in constant stirring at room temperature in air. The color of the solution was orange; it immediately turned into a deep-yellow color, and after 15 minutes it changed to a deep-blue color. One hour later, polyethylene glycol (PEG) was added with a molecular weight of 200 as a structure-directing agent. A molar ratio of PEG to WO3 of 1 was used. Two types of porous films were prepared adding 0.5 mL of 2.5% solid aqueous suspension of polystyrene spheres (PS) of 0.1 and 0.5 μm of diameter, respectively. Additionally, the sample without PSs was prepared for a comparative purpose. Thin films were prepared by spin-coating a drop of the solution on the substrate. All the as-grown films were annealed for 2 hours at 500°C in air in order to remove the organic template. Films were crack free and strongly adherent to the substrate. Three types of samples were prepared for the present study, compact WO3 layer for reference (sample A) and porous WO3 thin film obtained using polystyrene spheres of 0.1 μm (B) and 0.5 μm (C) of diameter.


### 2.2. Characterization Techniques

The structural properties of the films were obtained using X-ray diffraction (XRD) on a Siemens D500 diffractometer equipped with Cu Kα radiation (λ=0.154nm). XRD data of the films were examined by a grazing angle of 30 with a step of 0.020, integrating 10 s in each step. Films were also characterized by scanning electron microscopy (SEM) and energy dispersive spectroscopy (EDS) in a Philips XL-30 ESEM microscope. Transmittance spectra were recorded with the help of an Agilent 8453 UV-Vis spectrophotometer. Film thicknesses were measured using a profiler VeecoDektak 8 Stylus, and a main value of (1 ± 0.1) μm was found.PAS spectra were recorded using a conventional home-made PA system. The light coming from a Xenon arc lamp (ORIEL 66924 operated at 900 W) passed through a monochromator (ORIEL Cornerstone 130 1/8 m) with 1200 lines/mm diffraction grating in order to obtain monochromatic light in the 250–1200 nm spectral range, modulated with a mechanical chopper (Oriel 75159). The modulation frequency was fixed at low frequency (17 Hz) in order to ensure high PA signal amplitude and fulfill the thermally thin sample condition. The monochromatic and modulated beam was focused on the sample located inside the PA cell chamber. An electret microphone connected to the cell through a narrow channel recorded the PA signal, which was measured by a Lock in amplifier (SR-850). PA spectra were normalized using carbon black as a reference sample in the usual way. Photoluminescence spectra of WO3 thin films were obtained at 15 K, by using a He-Cd ion laser as a light source with an excitation wavelength of 325 nm and a power of 35 mW.In order to estimate the sample’s thermal diffusivity, which is necessary for the interpretation of PA spectra as we will see below, we carried out photothermal radiometry (PTR) measurements. A modulated laser diode with 630 nm wavelength was used to generate the photothermal effect. The blackbody radiation from the optically excited sample was collected using two off-axis parabolic mirrors (Edmund Optics), and it was focused onto a liquid-nitrogen-cooled HgCdTe (Mercury-Cadmium-Telluride) detector (EG&G Judson J15D12-M204-S4) with an active square size area of 4 mm × 4 mm and a spectral bandwidth of 2–12μm. An antireflection-(AR-) coated germanium window with a transmission bandwidth of 2–14 μm was mounted in front of the detector to block any visible radiation from the laser. Before being sent to the digital lock-in amplifier (Stanford Research System Model SR850), the photothermal radiometric signal was amplified by a preamplifier with a frequency bandwidth 5–1 MHz (EG&G Judson Model PA-101), especially designed for operating the HgCdTe detector. The theory of the PTR measurement for thermal diffusivity estimations is presented further in Section 3.2.The photocurrent response of WO3 thin films was measured using a standard three-electrode photoelectrochemical cell. WO3 samples were used as photoanodes, with an exposure area of 1.0 cm2. A platinum foil was used as a counter electrode and Ag/AgCl2 as a reference electrode. The electrodes were immersed in 0.5 M Na2SO4 (pH 4). The photoanodes and the counter electrode were separated by a fine porous glass filter to prevent the recombination of hydrogen and oxygen molecules. The solar spectrum was simulated using a xenon lamp. The photocurrent density was measured using a potentiostat/galvanostat.


## 2.1. Samples Preparation

Tungsten oxide thin films were grown on glass Corning 1737 coated with Indium Tin Oxide (4–10 Ω sheet resistance) using a sol-gel spin-coating technique. The substrates were ultrasonically cleaned with distilled water, acetone, and isopropanol, and then they were dried at room temperature. Anhydrous tungsten hexachloride WCl6 (Aldrich 99.9%) was used as the precursor and isopropanol (J.T.Baker 99.92%) as the solvent. The solution was prepared dissolving 2 g of WCl6 in 20 mL of isopropanol in constant stirring at room temperature in air. The color of the solution was orange; it immediately turned into a deep-yellow color, and after 15 minutes it changed to a deep-blue color. One hour later, polyethylene glycol (PEG) was added with a molecular weight of 200 as a structure-directing agent. A molar ratio of PEG to WO3 of 1 was used. Two types of porous films were prepared adding 0.5 mL of 2.5% solid aqueous suspension of polystyrene spheres (PS) of 0.1 and 0.5 μm of diameter, respectively. Additionally, the sample without PSs was prepared for a comparative purpose. Thin films were prepared by spin-coating a drop of the solution on the substrate. All the as-grown films were annealed for 2 hours at 500°C in air in order to remove the organic template. Films were crack free and strongly adherent to the substrate. Three types of samples were prepared for the present study, compact WO3 layer for reference (sample A) and porous WO3 thin film obtained using polystyrene spheres of 0.1 μm (B) and 0.5 μm (C) of diameter.


## 2.2. Characterization Techniques

The structural properties of the films were obtained using X-ray diffraction (XRD) on a Siemens D500 diffractometer equipped with Cu Kα radiation (λ=0.154nm). XRD data of the films were examined by a grazing angle of 30 with a step of 0.020, integrating 10 s in each step. Films were also characterized by scanning electron microscopy (SEM) and energy dispersive spectroscopy (EDS) in a Philips XL-30 ESEM microscope. Transmittance spectra were recorded with the help of an Agilent 8453 UV-Vis spectrophotometer. Film thicknesses were measured using a profiler VeecoDektak 8 Stylus, and a main value of (1 ± 0.1) μm was found.PAS spectra were recorded using a conventional home-made PA system. The light coming from a Xenon arc lamp (ORIEL 66924 operated at 900 W) passed through a monochromator (ORIEL Cornerstone 130 1/8 m) with 1200 lines/mm diffraction grating in order to obtain monochromatic light in the 250–1200 nm spectral range, modulated with a mechanical chopper (Oriel 75159). The modulation frequency was fixed at low frequency (17 Hz) in order to ensure high PA signal amplitude and fulfill the thermally thin sample condition. The monochromatic and modulated beam was focused on the sample located inside the PA cell chamber. An electret microphone connected to the cell through a narrow channel recorded the PA signal, which was measured by a Lock in amplifier (SR-850). PA spectra were normalized using carbon black as a reference sample in the usual way. Photoluminescence spectra of WO3 thin films were obtained at 15 K, by using a He-Cd ion laser as a light source with an excitation wavelength of 325 nm and a power of 35 mW.In order to estimate the sample’s thermal diffusivity, which is necessary for the interpretation of PA spectra as we will see below, we carried out photothermal radiometry (PTR) measurements. A modulated laser diode with 630 nm wavelength was used to generate the photothermal effect. The blackbody radiation from the optically excited sample was collected using two off-axis parabolic mirrors (Edmund Optics), and it was focused onto a liquid-nitrogen-cooled HgCdTe (Mercury-Cadmium-Telluride) detector (EG&G Judson J15D12-M204-S4) with an active square size area of 4 mm × 4 mm and a spectral bandwidth of 2–12μm. An antireflection-(AR-) coated germanium window with a transmission bandwidth of 2–14 μm was mounted in front of the detector to block any visible radiation from the laser. Before being sent to the digital lock-in amplifier (Stanford Research System Model SR850), the photothermal radiometric signal was amplified by a preamplifier with a frequency bandwidth 5–1 MHz (EG&G Judson Model PA-101), especially designed for operating the HgCdTe detector. The theory of the PTR measurement for thermal diffusivity estimations is presented further in Section 3.2.The photocurrent response of WO3 thin films was measured using a standard three-electrode photoelectrochemical cell. WO3 samples were used as photoanodes, with an exposure area of 1.0 cm2. A platinum foil was used as a counter electrode and Ag/AgCl2 as a reference electrode. The electrodes were immersed in 0.5 M Na2SO4 (pH 4). The photoanodes and the counter electrode were separated by a fine porous glass filter to prevent the recombination of hydrogen and oxygen molecules. The solar spectrum was simulated using a xenon lamp. The photocurrent density was measured using a potentiostat/galvanostat.


## 3. Results and Discussions

### 3.1. Morphology and Structural Properties

Powdery samples were prepared from sol in order to perform XRD analysis. The XRD pattern shown in Figure1(a) indicates that powders present only weak (100) and (101) diffraction peaks that correspond to monoclinic WO3 (JCPDS 43-1035) phase [16]. After the powders annealing at 500°C, the intensity of the monoclinic WO3 peaks increased considerably. The XRD pattern for as-grown films only shows the peaks from the substrate identified as In2O3 (JCPDS 06-0416) [16].XRD patterns for (a) powder samples before and after annealing at 500°C and (b) for obtained annealed films.
(a)
(b)Figure1(b) shows XRD data corresponding to WO3 thin films after annealing at 500°C. Films A and B only exhibited the peaks of monoclinic WO3 phase, while the film C crystallized into a combination of monoclinic WO3 (JCPDS 43-1035) and W18O49 (JCPDS 36-0101) phases. The crystallite sizes were determined using the Scherrer’s equation [17]. The obtained values are shown in Table 1.Table 1
Properties of sol gel prepared WO3 thin films.
Sample identification
Crystallite sizenm
Morphology
A
Compact layer
20
B
Porous layer(PS diameter: 0.1 µm)
20
Spherical particles(110–130 nm)
C
Porous layer(PS diameter: 0.5 µm)
23
Spherical particles(600–800 nm)Figure2 shows SEM images of the surfaces of B and C films before and after annealing at 500°C. In general, as-grown samples consisted of agglomerated nanoparticles. By annealing at 500°C, the formation of well-defined grains with dimensions of hundreds of nanometers can be seen. Comparing the surface morphology of the films, it can be observed that as-grown films were formed by cluster of materials, and after the annealing, rounded regions influenced by the PS removed were obtained. The diameter of the PS used as sacrificed templates was found to influence the morphology of the resulting thin films (see Table 1).SEM images of (a) WO3 thin film obtained using polystyrene spheres of 0.1 μm and (b) polystyrene spheres of 0.5 μm, before and after annealing at 500°C.
(a)
(b)The analysis of the elemental composition of the obtained films, determined from the energy dispersive X-ray (EDS) spectra, indicates the formation of a tungsten oxide compound. EDS spectra (not presented here) recorded in bright and dark zones of SEM images show that bright zones are tungsten rich areas.


### 3.2. Optical and Electronic Properties

The PA amplitude as a function of photon energy recorded at 17 Hz for the different WO3 layers is shown in Figure 3. Based on the RG theory [18], the interpretation of the PA signal depends on relation between the thermal diffusion length of samples under study and its thickness. In order to check this point, we determined the thermal diffusivity (α) by PTR technique by fitting a theoretical model to experimental amplitude and phase data as a function of the light modulation frequency, f. For calculations, we considered a sample substrate model based on RG theory, where one of these layers is the WO3 thin film of thickness L, thermal effusivity e1, and optical absorption coefficient β and the other layer, a substrate (glass), is transparent to the laser source wavelength and thermally thick in the frequency range used.Figure 3
The PAS spectra of typical sol-gel sample (A) compared with that which showed porous structure (samples B and C) recorded at 17 Hz. The inset depicts the first derivative (red line) of the PA spectra of sample B.The oscillating component of the temperature of the illuminated face of the sample is given by [18](1)T(0,f)=I0β(1-R)2k(β2-σ2)(r-1)(b12+1)eσL+(r+1)(b12-1)e-σL-2(rb12-1)e-βL(b12+1)eσL-(b12-1)e-σL,where I0 represents the light intensity, b12=e1/e2,  r=β/σ, e1=esample, e2=eglass, and σ=(1+i)πf/α.Figure4 shows PTR amplitude and phase frequency scan of typical WO3 sample. The line represents the best fit using (1) for amplitude and phase data simultaneously. As adjustable parameters in the fitting procedure αandb12 were used. The obtained thermal diffusivities for samples A, B, and C were 1.36, 1.17, and 1.13×10-4 cm2/s, respectively. As can be observed, the compact sample showed higher thermal diffusivity, and as the pore size increases, this value is reduced. It has been known that the thermal parameters are affected by many factors as porosity, pore size, and pore shape of materials. In an indirect way, thermal diffusivity along with morphology gives indication about the porosity in our layers.PTR amplitude and phase frequency scan of representative sample. The red line represents the best fit using (1).
(a)
(b)Calculating the thermal diffusion length (μ), at the chopping frequency f, by the expressionμ=α/πf, and using the previous obtained values of α, we determined μ around 200 μm. This value is much higher than the sample thickness. Additionally, the absorption coefficient at near the band edge for WO3 samples is about 106 m−1; hence, the optical penetration length is about a micron [13]. In this case, the PA measurements were performed under thermally thin condition, and the PA signal was proportional to the product of absorption coefficient and sample thickness.In Figure3, it can be observed that, irrespective of sample characteristics, all spectra show singular behavior with the well-defined absorption band and a subsequent increase of PA amplitude for higher energies. According to the peak position of this band, we identified it as originating from the indirect transition. The inset shows the band gap value (3.17 eV) determined by differentiation of PA absorption spectra respect to the photon energy, which does not depend on sample morphology [19]. The reported band gap for bulk WO3 is 2.6 eV, and for sol-gel derived nanocrystalline WO3 films the variation of absorption edge for indirect optical transition has been reported in the range of 2.6–3.2 eV [1]. If we consider that the average size of crystallite is about 20 nm, which is comparable with the Bohr radius for WO3 system (~13 nm), we can assume the presence of weak quantum confinement regimen which led to the higher band gap value in our case. We suggest that further increase of PA amplitude is due to a higher energy absorption edge corresponding to direct transition. The observation of high energy transitions by optical transmission spectroscopy is very difficult because in this spectral region the absorption coefficient is very high, and the signal is attenuated over a distance inside the sample [20]. However, in our case, this has been possible using the photoacoustic method and very thin samples.In addition, it can be noticed in Figure3 that the photoacoustic response is higher for the WO3 films obtained by the pure sol-gel method (sample A) than for those obtained by sol-gel and templating method (B and C) due to higher effective light absorption. The WO3 thin film with bigger pore size (sample C) shows weaker PA response.Photoluminescence spectra obtained at 15 K from three samples with different morphologies are shown in Figure5, where a broad feature in the blue region dominates the PL spectra. It is important to note that, although WO3 is an indirect band gap semiconductor and that it is supposed to have very low emission efficiency, there are several reports in the literature on measurements in WO3 nanoscale materials. In general, two PL emissions have been reported, namely, ultraviolet and blue [14, 21]. The former has been attributed to quantum confinement effects (band-to-band transition) and the second one to oxygen vacancies or defects [22, 23].Figure 5
PL spectra of WO3 thin films with different morphologies acquired at 15 K.The shapes of our spectra (see Figure5) suggest the presence of more than one transition. These emission energies were determined by Gaussian deconvolution. The obtained peak energy positions were around 2.93 and 2.57 eV, labeled as high energy (HE) and low energy (LE) peaks, respectively. As it can be seen, the change in the shape of the spectra can be attributed to the change in contributions (intensities) of two transitions, which depends on sample morphology. It is observed that the relative intensity of HE peak decreased with the increase of the pore diameter. We associated HE emission with oxygen vacancies which are commonly present in oxide samples. In order to confirm this hypothesis, we measured the PL spectra of as-grown WO3 thin film without annealing. Compared with annealed samples, the positions of the HE peak appears similar, but the intensity of this band in nonannealed sample is 3 times higher, thus demonstrating our speculation. We thought that after annealing in ambient atmosphere, the diffused oxygen inside the sample led to a reduced oxygen vacancies density and less intensive emission of HE peak in annealed samples. This process is more efficient in samples with wider pores, and consequently, the intensity of HE peak appears weaker for sample C. Another point that we must take into account is the influence of surface defects, whose density is bigger in porous layers where the surface-to-volume ratio increases. If we associate the LE emissions (2.52 eV) with surface defects contribution, as pore size increases, it results in the increase of surface defects density with the consequent increase of LE peak intensity. The relative intensity ratios (HE/LE) were calculated from each PL spectra. The following values were obtained: 1.14, 0.89, and 0.56 for A, B, and C samples, respectively. Taking into account potential application of WO3 macroporous materials, samples with less surface defects will be a better option in order to reduce nondesirable recombination. However, comparing our samples with two pore sizes (samples B and C), we can observe that the one with smaller pore size (sample B) exhibits higher PL peak associated to oxygen vacancies. Therefore, for certain applications, the further increase of the pore size is limited by the behaviors of these recombination centers.


### 3.3. Photocurrent Curves

In order to correlate the electronic properties of these WO3 layers with their performance as photoanodes, photoelectrochemical analyses were carried out. Figure 6 compares photocurrent potential curves for porous and compact tungsten oxide thin films. It is clear that for the WO3 thin films without addition of PS spheres, the measured anodic current was the smallest, while it was significantly enhanced for the WO3 with 0.5 μm of PS. On the other hand, by increasing the potential up to 1.0 V, the photocurrent increased sharply for films with 0.5 μm of PS.Figure 6
Photocurrent potential curves for compact (A) and porous (B, C) tungsten oxide thin films.This picture correlates well with the morphology of the samples and PL results. The sample C shows bigger pores and lower oxygen vacancy density after annealing, as was mentioned before. This diminution of recombination centers causes the lowest electron-hole recombination rate and consequently the improvement of photon-to-electron conversion efficiency. Similar results have also been reported for the WO3 photoanodes by different authors [2, 24], where a template strategy facilitated charge exchange on the surface enhancing the photocurrent density.


## 3.1. Morphology and Structural Properties

Powdery samples were prepared from sol in order to perform XRD analysis. The XRD pattern shown in Figure1(a) indicates that powders present only weak (100) and (101) diffraction peaks that correspond to monoclinic WO3 (JCPDS 43-1035) phase [16]. After the powders annealing at 500°C, the intensity of the monoclinic WO3 peaks increased considerably. The XRD pattern for as-grown films only shows the peaks from the substrate identified as In2O3 (JCPDS 06-0416) [16].XRD patterns for (a) powder samples before and after annealing at 500°C and (b) for obtained annealed films.
(a)
(b)Figure1(b) shows XRD data corresponding to WO3 thin films after annealing at 500°C. Films A and B only exhibited the peaks of monoclinic WO3 phase, while the film C crystallized into a combination of monoclinic WO3 (JCPDS 43-1035) and W18O49 (JCPDS 36-0101) phases. The crystallite sizes were determined using the Scherrer’s equation [17]. The obtained values are shown in Table 1.Table 1
Properties of sol gel prepared WO3 thin films.
Sample identification
Crystallite sizenm
Morphology
A
Compact layer
20
B
Porous layer(PS diameter: 0.1 µm)
20
Spherical particles(110–130 nm)
C
Porous layer(PS diameter: 0.5 µm)
23
Spherical particles(600–800 nm)Figure2 shows SEM images of the surfaces of B and C films before and after annealing at 500°C. In general, as-grown samples consisted of agglomerated nanoparticles. By annealing at 500°C, the formation of well-defined grains with dimensions of hundreds of nanometers can be seen. Comparing the surface morphology of the films, it can be observed that as-grown films were formed by cluster of materials, and after the annealing, rounded regions influenced by the PS removed were obtained. The diameter of the PS used as sacrificed templates was found to influence the morphology of the resulting thin films (see Table 1).SEM images of (a) WO3 thin film obtained using polystyrene spheres of 0.1 μm and (b) polystyrene spheres of 0.5 μm, before and after annealing at 500°C.
(a)
(b)The analysis of the elemental composition of the obtained films, determined from the energy dispersive X-ray (EDS) spectra, indicates the formation of a tungsten oxide compound. EDS spectra (not presented here) recorded in bright and dark zones of SEM images show that bright zones are tungsten rich areas.


## 3.2. Optical and Electronic Properties

The PA amplitude as a function of photon energy recorded at 17 Hz for the different WO3 layers is shown in Figure 3. Based on the RG theory [18], the interpretation of the PA signal depends on relation between the thermal diffusion length of samples under study and its thickness. In order to check this point, we determined the thermal diffusivity (α) by PTR technique by fitting a theoretical model to experimental amplitude and phase data as a function of the light modulation frequency, f. For calculations, we considered a sample substrate model based on RG theory, where one of these layers is the WO3 thin film of thickness L, thermal effusivity e1, and optical absorption coefficient β and the other layer, a substrate (glass), is transparent to the laser source wavelength and thermally thick in the frequency range used.Figure 3
The PAS spectra of typical sol-gel sample (A) compared with that which showed porous structure (samples B and C) recorded at 17 Hz. The inset depicts the first derivative (red line) of the PA spectra of sample B.The oscillating component of the temperature of the illuminated face of the sample is given by [18](1)T(0,f)=I0β(1-R)2k(β2-σ2)(r-1)(b12+1)eσL+(r+1)(b12-1)e-σL-2(rb12-1)e-βL(b12+1)eσL-(b12-1)e-σL,where I0 represents the light intensity, b12=e1/e2,  r=β/σ, e1=esample, e2=eglass, and σ=(1+i)πf/α.Figure4 shows PTR amplitude and phase frequency scan of typical WO3 sample. The line represents the best fit using (1) for amplitude and phase data simultaneously. As adjustable parameters in the fitting procedure αandb12 were used. The obtained thermal diffusivities for samples A, B, and C were 1.36, 1.17, and 1.13×10-4 cm2/s, respectively. As can be observed, the compact sample showed higher thermal diffusivity, and as the pore size increases, this value is reduced. It has been known that the thermal parameters are affected by many factors as porosity, pore size, and pore shape of materials. In an indirect way, thermal diffusivity along with morphology gives indication about the porosity in our layers.PTR amplitude and phase frequency scan of representative sample. The red line represents the best fit using (1).
(a)
(b)Calculating the thermal diffusion length (μ), at the chopping frequency f, by the expressionμ=α/πf, and using the previous obtained values of α, we determined μ around 200 μm. This value is much higher than the sample thickness. Additionally, the absorption coefficient at near the band edge for WO3 samples is about 106 m−1; hence, the optical penetration length is about a micron [13]. In this case, the PA measurements were performed under thermally thin condition, and the PA signal was proportional to the product of absorption coefficient and sample thickness.In Figure3, it can be observed that, irrespective of sample characteristics, all spectra show singular behavior with the well-defined absorption band and a subsequent increase of PA amplitude for higher energies. According to the peak position of this band, we identified it as originating from the indirect transition. The inset shows the band gap value (3.17 eV) determined by differentiation of PA absorption spectra respect to the photon energy, which does not depend on sample morphology [19]. The reported band gap for bulk WO3 is 2.6 eV, and for sol-gel derived nanocrystalline WO3 films the variation of absorption edge for indirect optical transition has been reported in the range of 2.6–3.2 eV [1]. If we consider that the average size of crystallite is about 20 nm, which is comparable with the Bohr radius for WO3 system (~13 nm), we can assume the presence of weak quantum confinement regimen which led to the higher band gap value in our case. We suggest that further increase of PA amplitude is due to a higher energy absorption edge corresponding to direct transition. The observation of high energy transitions by optical transmission spectroscopy is very difficult because in this spectral region the absorption coefficient is very high, and the signal is attenuated over a distance inside the sample [20]. However, in our case, this has been possible using the photoacoustic method and very thin samples.In addition, it can be noticed in Figure3 that the photoacoustic response is higher for the WO3 films obtained by the pure sol-gel method (sample A) than for those obtained by sol-gel and templating method (B and C) due to higher effective light absorption. The WO3 thin film with bigger pore size (sample C) shows weaker PA response.Photoluminescence spectra obtained at 15 K from three samples with different morphologies are shown in Figure5, where a broad feature in the blue region dominates the PL spectra. It is important to note that, although WO3 is an indirect band gap semiconductor and that it is supposed to have very low emission efficiency, there are several reports in the literature on measurements in WO3 nanoscale materials. In general, two PL emissions have been reported, namely, ultraviolet and blue [14, 21]. The former has been attributed to quantum confinement effects (band-to-band transition) and the second one to oxygen vacancies or defects [22, 23].Figure 5
PL spectra of WO3 thin films with different morphologies acquired at 15 K.The shapes of our spectra (see Figure5) suggest the presence of more than one transition. These emission energies were determined by Gaussian deconvolution. The obtained peak energy positions were around 2.93 and 2.57 eV, labeled as high energy (HE) and low energy (LE) peaks, respectively. As it can be seen, the change in the shape of the spectra can be attributed to the change in contributions (intensities) of two transitions, which depends on sample morphology. It is observed that the relative intensity of HE peak decreased with the increase of the pore diameter. We associated HE emission with oxygen vacancies which are commonly present in oxide samples. In order to confirm this hypothesis, we measured the PL spectra of as-grown WO3 thin film without annealing. Compared with annealed samples, the positions of the HE peak appears similar, but the intensity of this band in nonannealed sample is 3 times higher, thus demonstrating our speculation. We thought that after annealing in ambient atmosphere, the diffused oxygen inside the sample led to a reduced oxygen vacancies density and less intensive emission of HE peak in annealed samples. This process is more efficient in samples with wider pores, and consequently, the intensity of HE peak appears weaker for sample C. Another point that we must take into account is the influence of surface defects, whose density is bigger in porous layers where the surface-to-volume ratio increases. If we associate the LE emissions (2.52 eV) with surface defects contribution, as pore size increases, it results in the increase of surface defects density with the consequent increase of LE peak intensity. The relative intensity ratios (HE/LE) were calculated from each PL spectra. The following values were obtained: 1.14, 0.89, and 0.56 for A, B, and C samples, respectively. Taking into account potential application of WO3 macroporous materials, samples with less surface defects will be a better option in order to reduce nondesirable recombination. However, comparing our samples with two pore sizes (samples B and C), we can observe that the one with smaller pore size (sample B) exhibits higher PL peak associated to oxygen vacancies. Therefore, for certain applications, the further increase of the pore size is limited by the behaviors of these recombination centers.


## 3.3. Photocurrent Curves

In order to correlate the electronic properties of these WO3 layers with their performance as photoanodes, photoelectrochemical analyses were carried out. Figure 6 compares photocurrent potential curves for porous and compact tungsten oxide thin films. It is clear that for the WO3 thin films without addition of PS spheres, the measured anodic current was the smallest, while it was significantly enhanced for the WO3 with 0.5 μm of PS. On the other hand, by increasing the potential up to 1.0 V, the photocurrent increased sharply for films with 0.5 μm of PS.Figure 6
Photocurrent potential curves for compact (A) and porous (B, C) tungsten oxide thin films.This picture correlates well with the morphology of the samples and PL results. The sample C shows bigger pores and lower oxygen vacancy density after annealing, as was mentioned before. This diminution of recombination centers causes the lowest electron-hole recombination rate and consequently the improvement of photon-to-electron conversion efficiency. Similar results have also been reported for the WO3 photoanodes by different authors [2, 24], where a template strategy facilitated charge exchange on the surface enhancing the photocurrent density.


## 4. Conclusions

Tungsten oxides thin films with two different pore sizes were grown by sol-gel technique using polystyrene microspheres as a template. The PA characterization reveals the same absorption edge value irrespective of sample morphology, while the amplitude response decreases for bigger pore size due to the sample effective light absorption. We identified the resulting optical transition around 3.17 eV as an indirect transition, in agreement with the previously reported values for WO3 thin films. The PL measurements revealed broad emission band in the blue region for thin films prepared with PS spheres of 0.1 and 0.5 μm diameter and the compact layer. The deconvolution of the emission band showed two transitions, which were associated with two factors: the decrease of oxygen vacancies and the increase of surface defects as pore size increases. Increasing pore size up to 0.5 μm, a better photocurrent response was obtained compared with the other samples.



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