1. Introduction
Titanium dioxide (TiO
2) has been widely used to decompose pollutants via photocatalytic reactions [
1,
2] and to control surface wettability for self-cleaning coatings [
3]. Because TiO
2 has a high refractive index (
n ~ 2.6 [
4]) and no absorption band in the visible wavelengths, surface coatings of TiO
2 appear white. This intrinsic property limits the color design flexibility of TiO
2 coatings. Moreover, although TiO
2 is known to exhibit superhydrophilicity when illuminated with ultra-violet (UV) light, an external source of UV light is necessary to utilize its superhydrophilic function [
3,
5]. Therefore, it is desirable to develop TiO
2 films that provide enhanced transparency and superhydrophilicity without the need for UV-light irradiation.
To improve visible-light transmission at optical interfaces, one possible approach is to fabricate anti-reflection surface structures. A subwavelength surface pattern that enables an optical interface to have a graded refractive index which reduces light reflection [
6]. Such surfaces are called moth-eye anti-reflective structures [
7]. Considering this anti-reflection mechanism, it should be possible to increase the transparency of a TiO
2 film by fabricating a film with such subwavelength surface structures (i.e., structures having characteristic dimensions less than visible-light wavelengths).
Furthermore, the surface roughness of a hydrophilic material is known to enhance its apparent hydrophilicity [
8]. Because TiO
2 is intrinsically hydrophilic, a textured surface on the TiO
2 film has the potential to provide increased hydrophilicity.
On the basis of the above considerations, it is expected to control the microscale surface structure of the TiO
2 film to achieve favorable optical and wetting characteristics. Recently, TiO
2 spherical nanoparticle aggregate (NSA) was developed [
9]. The diameter of NSA is 100–200 nm, and, therefore, the top layer of a packed NSA film cannot be a plain surface but has an intrinsic subwavelength surface structure (
Figure 1). Because such films consist of TiO
2 nanoparticles, they also have porous structures. A porous TiO
2 structure allows gas molecules to diffuse into the film, which results in the effective production of radicals before photo-excited carriers are lost [
1]. Consequently, an NSA film is considered to show improved optical and wetting characteristics without the degradation of its photocatalytic function.
In this work, we investigated the effect of the subwavelength surface structure of a TiO2 coating on its optical and superhydrophilic characteristics. Using submicron-scale TiO2 NSAs, we fabricated a TiO2 film with a subwavelength surface structure. Visible-light transmittance was measured to examine the optical property resulting from the graded refractive index at the air–TiO2 interface. The effect of the surface structure on the visible-light transmittance was also demonstrated by the numerical simulation of light propagation in which Maxwell’s equations were solved using the finite-difference time-domain method. In addition, we performed water-drop contact-angle measurements to demonstrate superhydrophilic behavior without UV-light illumination. Finally, we confirmed the photocatalytic activity of an NSA film.
2. Experimental
2.1. TiO2 Film Samples
We prepared TiO
2 aqueous dispersions using two kinds of TiO
2 particles: NSA (Ujiden Chemical, Kochi, Japan) and AEROXIDE
® P25 (Evonik Industries, Essen, Germany). P25 is a fine powder of nanoparticles with mean diameter of about 21 nm. It was used as a standard TiO
2 material to evaluate the properties of NSA. To break large agglomerates in each dispersion, ultrasonication was performed using an UH-50 ultrasonic homogenizer (SMT, Kanagawa, Japan). A glass substrate was treated with Ar plasma to clean the surface and enhance its wettability. A specified amount of dispersion was dropped on the glass substrate and spontaneously spread over the surface. We managed to apply it to uniformly cover the substrate surface. After being dried at room temperature, samples were heated at 600 °C for 20 min to sinter the particles [
10].
The prepared samples were observed using a scanning electron microscope (SEM) S-4700 (Hitachi, Tokyo, Japan). The glass plate caused surface charging during SEM observation; therefore, we coated the samples with osmium using a Neoc coater (Meiwafosis, Tokyo, Japan).
2.2. Optical Measurement
The optical transmittance of each sample was measured using a flame spectrometer with a halogen light source (Ocean Optics, Dunedin, FL, USA). A diffraction grating was used to split the light, and the intensity of each component was detected by a silicon CCD array. The measurement was performed for wavelengths in the range of 0.4–0.9 μm. The normal spectral transmittance was determined.
2.3. Water Contact Angle Measurement
To evaluate the wetting behavior, we measured the water contact angle at the surface. A water droplet (5 μL) was applied to the sample surface, and a side-view photo image was captured using a CMOS camera (3R-MSUSB401, 3R Solution, Fukuoka, Japan). Then, the obtained imaged was analyzed to determine the contact angle [
11].
2.4. Photocatalytic Performance Evaluation
Methylene blue (MB) decomposition was used to evaluate the photocatalytic activity of prepared samples. We deposited an aqueous solution of MB on a TiO2 film samples. We used a near-ultra-violet (NUV) lamp (FPL27BLB, Sankyo Denki, Kanagawa, Japan). The light intensity was about 4 mW/cm2, which was measured using a UV light meter (UV-340C, Custom, Tokyo, Japan). Because MB has an optical absorption band in visible wavelengths, the change of optical transmittance was measured for three hours to evaluate the progress of MB decomposition.
3. Numerical Simulation
To investigate the effects of the surface subwavelength microstructure of a TiO
2 coating on the transmittance of visible light, we performed a numerical simulation of visible-light propagation through a textured surface. Maxwell’s equations were solved using the finite-difference time-domain (FDTD) method [
12]. We assumed optical properties and geometry to model the air–TiO
2 interface of the NSA film, as described below.
Because NSA consists of sintered nanoparticles, it has a fine porous structure. To evaluate the refractive index of the porous medium, we introduced the effective refractive index
ne, calculated from the Bruggeman effective medium approximation [
13]:
where
f is the volume fraction and the subscripts 1 and 2 refer to air and TiO
2, respectively, in the present case. For the substrates before sintering, we assumed that the porosity was 0.4 (random packing of spheres [
1]), so
f1 = 0.4 and
f2 = 0.6. When we considered
n1 = 1 and
n2 = 2.6 [
4], we obtained
ne = 1.93. Therefore, we used
ne = 1.93 as the effective refractive index of NSA in the present numerical simulation.
Then we modeled the subwavelength surface structure of the NSA film. The model geometry for the simulation is schematically shown in
Figure 2a. Because of the spherical structure of each NSA, we assumed a convex surface pattern. The volume fraction of NSA at the air–TiO
2 interface varied along the surface-normal direction (i.e., the
x direction); hence, a graded refractive index was achieved as illustrated in
Figure 1. To examine the influence of the graded refractive index on the visible light transmission, we made several geometries, as shown in
Figure 2b. We defined the aspect ratio of each convex structure as the height
h divided by the width
w. A parabolic function was used to create convex interface patterns with various aspect ratios. Because our NSA sample had a range of diameters, we used
w = 0.1 and 0.2 μm, and the aspect ratio was varied from 0 to 0.5. Hence the height
h of each convex structure is equal to the peak
x value appearing at
z = 0.05 and 0.1 μm for
w = 0.1 and 0.2 μm, respsectively. The aspect ratio of 0 corresponds to a plain interface.
Because we used a periodic concave pattern to model the air–TiO
2 interface, the periodic boundary condition was used in the
z direction (
Figure 2a). For the
x direction, we used the anisotropic perfectly matched layer (APML) absorbing boundary conditions [
12]. The simulation region (
x ×
z) was 6 μm × 0.2 μm with the mesh size ∆
x = ∆
z = 5 nm. A monochromatic plane wave of 0.55 μm wavelength, which is in the middle of visible range, was used to evaluate the transmittance of visible light. We investigated the influence of aspect ratio on the transmittance. As a solver, we used the commercial software OptiFDTD version 12 (Optiwave Systems) [
14].
To confirm the validity of our simulation and subsequent data processing, we numerically calculated the normal transmittance of visible light (
λ = 0.55 μm) regarding a plain TiO
2 layer and compared the result with the analytical solution of Maxwell’s equations. The transmission coefficient
τ at the air–TiO
2 interface is given as [
15]:
It should be noted that the transmittance T determined in the optical measurement has physical meaning different from the transmission coefficient τ; T includes the effect of multiple reflections at several interfaces in the sample, while τ is determined only by the phenomenon at the air–TiO2 interface.
4. Results and Discussion
4.1. Visible-Light Transmittance
First, we visually examined the NSA film by comparing it with the P25 film. We prepared the dispersions of NSA and P25 with 30 wt % solid content, and each dispersion was coated onto black paper (
Figure 3a). It is clear that the color change (i.e., black to white) observed in the P25-coated area was greater than that in the NSA-coated area. This result suggests that the visible light scattering by the NSA-coated surface was weaker than that from the P25-coated surface.
To confirm quantitatively the difference between the NSA and P25 films in terms of optical property, we measured the transmittance of TiO
2-coated samples in the visible wavelength range. The dispersion of NSA or P25 with 5 wt % solid content was used to make film on a glass substrate for each sample. Then, the normal spectral transmittance of each sample was measured. The results are shown in
Figure 3b. The transmittance of the NSA film is higher than that of P25 in the visible wavelengths. For example, the result at the wavelength of 0.55 μm showed
T = 62% and 51% for NSA and P25, respectively, so the difference between these films was significant. The obtained results are in accordance with the above-mentioned visual examination using black paper.
4.2. SEM Observation
The TiO
2 film samples used in the optical transmission measurement were observed using SEM. The obtained top-view images are shown in
Figure 4. The P25 film had no unique geometrical features (
Figure 4a), and the surface roughness that existed was possibly due to the agglomeration of particles during the process of drying the dispersion [
16]. Concerning the NSA film (
Figure 4b), the spherical shape of NSA remained even after the sintering process. As expected, the surface structure of each film reflected the basic-unit size of particles, i.e., the primary-particle diameter of about 21 nm for P25 and the aggregate diameter of 100–200 nm for NSA. We confirmed a remarkable difference in the qualitative characteristics of surface structures between the two samples. Hence, we proceeded to the numerical simulation of visible light transmission to explain the observed difference in the transmittance.
4.3. Numerical Simulation of Visible-Light Transmission
The transmission coefficient
τ at the air–TiO
2 interface was numerically calculated for each geometry described in
Section 2 (
Figure 2b). The simulation results are summarized in
Figure 5. The transmission coefficients
τ are plotted against the aspect ratio of a concave surface structure. The circle and triangle symbols show results of
w = 0.1 and 0.2 μm, respectively.
The case in which the aspect ratio was zero corresponds to a plain interface, so the predicted τ values for two results (w = 0.1 and 0.2 μm) should be the same value. Using Equation (2), the transmission coefficient obtained for a plain interface was 0.899. Therefore, the validity of our numerical simulation model and subsequent data processing was confirmed.
As the aspect ratio increased, the transmission coefficient showed higher values. This trend is in accordance with our expectation because the effect of a graded refractive index at the air–TiO2 interface is emphasized at higher aspect ratios.
The difference between the cases of
w = 0.1 and 0.2 μm can be also interpreted as indicating spatial variation of the refractive index. The volume fraction of a convex structure for the aspect ratio of 0.5 is plotted against the
x coordinate (i.e., surface normal direction) in
Figure 6. We found that the gradient of the curve for
w = 0.2 μm was lower than that for
w = 0.1 μm. The lower gradient of the curve means spatially broader distribution of the refractive index, which results in transmission enhancement.
On the basis of these simulation results, we expect an NSA film with a subwavelength surface structure should show improved transparency. Considering the increasing transmission coefficient with the aspect ratio, there is potential for improvement by modifying the surface structure of the NSA film.
4.4. Wetting
Wettability is an important property of coatings intended to achieve a self-cleaning surface. To evaluate the water wettability of our TiO
2 samples, we performed contact angle measurement. The photo images taken to determine the contact angle
θc are shown in
Figure 7. To emphasize the change in the contact angle for the TiO
2 coating, we also used a glass slide that was exposed to air and not coated with TiO
2. The uncoated glass had
θc = 34°, which is not an ideal result for a clean glass surface but a practical result for a glass surface exposed to airborne contaminants (
Figure 7a). For the P25-coated surface, a drop of water readily spread over the surface and eventually showed
θc < 10°, which is a characteristic of superhydrophilic surfaces (
Figure 7b). The NSA-coated surface also exhibited superhydrophilic behavior (
Figure 7c). Additionally, a sessile-drop technique is often used to distinguish advancing and receding contact angles [
17,
18]. Because a water drop was simply deposited on each sample in the present experiments, the results are close to advancing contact angles.
Even though we did not use UV light irradiation in these experiments, we observed superhydrophilic behavior for both the P25 and NSA coatings. We consider that the surface roughness influenced the small contact angle. The TiO
2 coatings, not only with NSA, but also with P25, exhibited surface roughness. Even though their scales and features were totally different, it is considered that the roughness of both films was sufficient to enhance their water wetting property; this consideration can be supported by the observation indicating that nanoscale roughness affects surface wetting [
19].
Because it is difficult to accurately measure very small contact angles (
θc < 10°), we were not able to determine the difference in wettability of the P25 and NSA coatings in the present experiments. To quantitatively investigate the difference in the degree of superhydrophilicity, a special experimental setup is needed [
20]. Future work is necessary to optimize the surface microstructure proposed here.
4.5. Photocatalytic Decomposition of MB
To demonstrate the photocatalytic performance of the NSA-coated film, we conducted MB decomposition experiments. After depositing MB on the NSA and P25 films, we measured their visible-light transmittance to evaluate the amount of MB on the samples. Then, we started to irradiate them with UV light to enhance the photocatalytic decomposition of MB. We measured the visible-light transmittance every hour.
The results are shown in
Figure 8. At the beginning (the time was 0 h), the transmittance of the NSA film was higher than that of the P25 film because of the difference in their clean conditions (shown in
Figure 3b). As the reaction proceeded, the transmittance of each sample increased due to decomposition of light-absorbing MB. The temporal change of transmittance indicates the photocatalytic reaction rate of MB decomposition. Because the slope of transmittance was similar for each sample, we can assume there was no remarkable difference in the MB decomposition rates. In this way, we confirmed that the NSA film had photocatalytic performance comparable to that of a typical film with the TiO
2 coating using P25. Therefore, we expect to be able to utilize the useful features of NSA films without reducing their photocatalytic activity.