3.1. Structure and Composition Characterization of TiO2 Aerogel
A schematic diagram of the conventional sol-gel method for the preparation of TiO
2 aerogels, which involves the hydrolysis of Ti organic salt solutions, and the condensation process is illustrated in
Figure 1. The SEM image (right upper) shows TiO
2 aerogels without PVA exhibit wide pore size distribution and large average pore size. In our approach, illustrated at the bottom of
Figure 1, we modify the process by incorporating flexible molecular chains and the resulting material is shown in the SEM image (right bottom). By adding PVA to the hydrolyzed precursor, we were able to achieve TiO
2 aerogels with adjustable pore size through in-situ growth and self-assembly facilitated by -OH bonding. Here, we used the mass fraction of added PVA as a variable to obtain three TiO
2 aerogels named Ti-1, Ti-2, and Ti-3, while the TiO
2 aerogel without PVA named Ti-0.
To explore the effect of added PVA on the pore size of TiO
2 aerogels, the N
2 adsorption-desorption curves, and pore size distribution curves were investigated. Due to capillary condensation, N
2 molecules undergo condensation and occupy the mesoporous at pressures lower than normal. The process of N
2 adsorption initiates from the pore wall, while N
2 desorption initiates from the orifice. Consequently, there is a disparity between the adsorption and desorption isotherms, resulting in the formation of hysteresis circles. As shown in
Figure 2a, Ti-1, Ti-2 and Ti-3 showed significant hysteresis circles in the relative pressure range of 0.4-1.0, indicating that the pore size distribution was concentrated in the mesoporous region in the samples. However, Ti-0 shows no significant hysteresis circles, indicating larger pore size and fewer mesopores. Then, the pore size distribution curves of the sample were analyzed, and noticed that the average pore size of TiO
2 aerogels gradually increased with the increase of PVA content. The average pore size of Ti-1, Ti-2 and Ti-3 are 7.3 nm, 12.9 nm and 48.6 nm, respectively, and all were mesoporous. However, the average pore size of Ti-0 without PVA is 64.6 nm, which belongs to the macropore. It can be seen that by adding a small amount of PVA, the hydroxyl group on this flexible polymer chain will react with TBOT, making TiO
2 particles dispersed evenly, which is conducive to reducing the average pore size of TiO
2. It is worth noting that the pore volume displayed a noticeable decrease as the PVA content increased (as shown in
Figure 2b and
Table S1). This can be explained by the fact that besides bonding with the hydrolyzed precursor, the PVA molecular chains that not react completely will also intertwine with each other and occupy the aerogel's pores. Simultaneously, during the gelation process, the diffusion rate and distribution uniformity of PVA in solution will directly affect the structure of the gel. Excessive local crosslinking density arises from uneven diffusion when an excessive amount of PVA is present, subsequently impacting both pore structure and size distribution within the aerogel. In addition, due to its abundant hydroxyl groups and strong affinity with water molecules, PVA acts as an ice nucleating agent that modulates ice crystal growth and regulates pore size [
74]. After high-temperature heat treatment, the PVA in the pores was thermally decomposed, yet the pore size became larger and the number of pores was greatly reduced, resulting in a decrease in the pore volume. The distribution of pore size distributions of Ti-1, Ti-2 and Ti-3 are clearly observed in
Figure 2b, which concentrates on 2-10 nm, 10-20 nm and 20-50 nm. The addition of PVA can regulate the pore size of TiO
2 aerogels. Since the pore sizes of Ti-1, Ti-2 and Ti-3 are different and all belong to the mesoporous range, they were selected as photocatalysts and the Ti-0 was set as the control group to study the effect of pore size of TiO
2 aerogel on catalytic decomposition of formaldehyde.
To explore the PVA content in the TiO
2 aerogel that had not been combined with TBOT, thermogravimetric analysis (TGA) was performed on the aerogel before being heated to 800 ℃ (as shown in
Figure 3a). During the heating process, a considerable loss of mass was observed at temperatures ranging from 50-150°C. That was attributed to part of the water and ethanol solution would be retained in the mesopores of the TiO
2 aerogels during the drying process due to capillary coalescence. The Ti-1 aerogel, which had the smallest pore size, showed the most significant mass loss, while the Ti-2 and Ti-3 aerogels had less solution retention and lower mass loss as the capillary effect was reduced. PVA begins to decompose at 200~350°C, among which the maximum thermal weight loss of Ti-3 is 0.223 %, while the minimum is Ti-0 (0.033 %). When the TG temperature exceeded 400°C, the mass of the aerogel no longer changed, at which time the mass stabilization state had been reached. The results also indicated that not all PVA in TiO
2 was crosslinked with the hydrolyzed solution, in which the PVA remaining in the TiO
2 pores would all decompose and provide larger pore size for the TiO
2 aerogel after heat treatment at 300°C.
Further, Fourier transform infrared spectroscopy (FT-IR) was utilized to detect the chemical bonding of the TiO
2 aerogel after heat treatment at 800°C. As shown in
Figure 3b, absorption peaks appeared at 950 cm
-1 and 1072 cm
-1, which is corresponded to the characteristic vibration peak of Ti-O-Ti. The high frequency region of the spectra does not detect any vibrational peaks, indicating that the PVA in the heat-treated TiO
2 aerogel has been completely decomposed. Then the light absorption performance of TiO
2 aerogels were tested (
Figure 3c). All four samples exhibited excellent light absorption in the UV wavelength region of 10-400 nm, which was consistent with the properties of TiO
2 aerogels photocatalysts. X-ray diffraction (XRD) tests conducted on TiO
2 aerogels after heat treatment at 800°C. As shown in
Figure 3d, a series of crystal peaks at 2θ = 25°, 38°, 48°, 55°, 63° are corresponded to the (101), (004), (200), (211) and (204) lattice plane (PDF #71-1168). All the crystal structures are anatase, which may explain the excellent photocatalytic performance of the aerogels.
3.3. Characterization of Photocatalytic Properties
Aerosols are defined as particulate matter with a diameter exceeding 0.01μm among atmospheric pollutants, while gaseous pollutants refer to those with a diameter below 0.01μm. VOCs typically combine with mineral aerosols for further migration and transformation. When formaldehyde gas volatilizes into the air and combines with aerosols, it results in an augmentation of particle size, thereby impeding the adsorption and decomposition of formaldehyde by TiO2 aerogel. If the aerosol particle size is too large to enter the mesoporous of aerogel, hinder the decomposition of formaldehyde. Consequently, surface modification of the aerogel is necessary to disrupt the aerosol structure and facilitate formaldehyde molecule release for subsequent degradation. In this experiment, the degradation effect of aerogel on formaldehyde molecules was initially taken into account.
The photocatalytic decomposition experiments were carried out in a sealed volumetric bottle as illustrated in
Figure S3. As the HCHO aqueous solution volatilizes, a gas-liquid balance is reached in the bottle. When exposed to UV-light, TiO
2 aerogel breaks down HCHO in the gas, disrupting the gas-liquid balance of the solution and causing the HCHO to continue to volatilize, resulting in changes in the concentration of HCHO in the solution. The absorbance of HCHO aqueous solution was measured by UV spectrophotometer, and the absorption peak of HCHO aqueous solution was detected by gas chromatography (
Figure 5). Aerogel in the mesoporous range, the absorption peak and absorbance of the HCHO aqueous solution containing Ti-1 were the lowest. Obviously, the GC results (
Figure 5b) showed that the lowest HCHO signal was detected in Ti-1, while the relatively higher signal was observed in Ti-2. The measurement results were statistically measured and the standard uncertainties of all measurements were considered to obtain formaldehyde concentrations at different time points, as shown in Table (S
2, S
3, S
4). Compared with the original HCHO solution, Ti-1, Ti-2 and Ti-3 all demonstrated decomposition effects, but Ti-0 had almost no effect, which is caused by the average pore size of Ti-0 (64.6nm) belonged to the macroporous range (>50nm) rather than mesoporous (2-50nm). It can be seen from
Table S4 that Ti-1 possesses the more excellent catalytic effect. The above photocatalytic experimental results demonstrated that the pore size of TiO
2 aerogel has a significant effect on the photocatalytic degradation of HCHO. Based on the experimental results, the range of TiO
2 aerogel pore size with the best decomposition effect on HCHO was further determined by theoretical calculations.
3.4 Theoretical model and mechanism analysis
The photocatalytic decomposition of HCHO by TiO
2 was systematically investigated to elucidate the underlying mechanism. TiO
2 is a semiconductor that is composed of a valence band (VB) and a conduction band (CB), with the VB predominantly occupied by electrons and situated at the upper echelon, while the CB, characterized by electron vacancies, resides at the lower level. The energy disparity between the VB and the CB, known as the bandgap (Eg), delineates the forbidden gap. Under UV illumination, TiO
2 undergoes photonic excitation, generating electron-hole pairs, which play a pivotal role in the photocatalytic breakdown of HCHO. The sequence of reactions involved in the decomposition process [
75,
76], is detailed as follows:
Upon UV illumination, TiO
2 surfaces initiate a photogenerated charge separation process, as illustrated in
Figure 6. Electrons are excited from the VB to CB, where holes (h
+) are generated due to the loss of electrons in the VB, while the conduction band gains electrons (e
-), generating electron-hole pairs. The hole (h
+) located in the VB is oxidized with H
2O in the air to generate hydroxyl radicals (·OH) with strong oxidative capabilities, while the electron (e
-) at the conduction band reacts with O
2 to generate oxide anions (O
2-). These active substances engage in further reactions with HCHO, ultimately decomposing HCHO into CO
2 and H
2O. This result demonstrates that O
2 have participated in the photocatalytic HCHO decomposition process byTiO
2 and plays a key role during reaction.
To elucidate the role of O
2 in the photocatalytic process, we undertook a theoretical analysis, focusing on the pore sizes of the TiO
2 aerogels. The aerogel's porous structure encompasses a spectrum of pore sizes: micropores (diameter < 2nm), mesopores (diameter 2-50nm), and macropores (diameter > 50nm), with the TiO
2 aerogels in our samples predominantly featuring mesopores. The structural intricacies of the TiO
2 aerogel are depicted in
Figure 7a, where a model showcases the intermolecular connections within the aerogels. This arrangement was modeled by considering the interconnections between TiO
2 molecules within the aerogel, resulting in the formation of TiO
2 clusters separated by different pore diameters. To more accurately represent the aerogel's environmental conditions, these pores were assumed to be air-filled, simulating the actual exposure scenario of the TiO
2 aerogel, illustrated in
Figure 7b.
The existence of surface tension on the solid surface creates adsorption energy that effectively resists its effects, resulting in effective adsorption effect for liquid or gas molecules. Porous aerogels enhance this effect by continuously adsorbing multiple layers of water vapor molecules, leading to capillary condensation and a continuous gas liquefaction process. This generates an ultra-thin liquid layer on the solid surface of the pores, creating a gas-liquid interface with the gas in the pores (as shown in
Figure 8a). TiO
2 aerogels exhibit the ability to adsorb multiple layers of water vapor molecules on the solid surface, forming a gas-liquid interface that conforms to the curvature of the solid. The influence of pore size on oxygen partial pressure was further investigated by simulating three pores with different curvatures, representing micropores, mesopores and macropores in TiO
2 aerogel, respectively, as illustrated in
Figure S4. Regardless of the different pore sizes, the number of layers of water vapor molecules that adsorb onto the surface remains the same. This leads to a continuous gas liquefaction process and subsequent capillary condensation. However, if the pore volume is larger, the liquid volume fraction occupying the hole is smaller, resulting in a greater volume fraction of gas (as depicted in
Figure 8b). The content of water molecules in the pore of TiO
2 aerogel is related to the humidity of the air at room temperature and pressure. The larger pore size in a single pore corresponds to the larger surface area and the greater amount of adsorbed water molecules for O
2 production by photocatalysis. There are numerous active centers distributed on the surface of the aerogel, which play a catalytic role in decomposition process. When O
2 contacts the active center on the surface of the TiO
2 aerogel, electron transfer will occur between O
2 and TiO
2, which in turn promotes the catalytic reaction. In other words, the larger pore size can promote the catalytic reaction. However, the larger pore volume simultaneously means the lower oxygen pressure in the pore, thus resulting in the lower catalytic efficiency. Consequently, a relatively larger pore size can result in a decrease in the catalytic reaction. In summary, there is an optimal range of pore size in TiO
2 aerogel, which is conducive to the photocatalysis.
The reaction equation for HCHO decomposition is:
For the reaction
, the reaction rate equation is:
Where is the reaction rate, k is the reaction rate constant, m and n are the series.
k is calculated according to the Arrhenius equation:
Where A is the Arrhenius constant; Ea is the Apparent activation energy (J/mol), and T is the thermodynamic temperature (K).
HCHO is decomposed to produce intermediate products, so the decomposition reaction process is a series of reactions
For consecutive reactions, substances A (A
1, A
2) are reactants HCHO and O
2; substances B (B
1, B
2) are intermediate products, and the consumption and generation of substance B is occurred simultaneously; substances C (C
1, C
2) are products CO
2 and H
2O. so the equation of the rate of change of substance concentration is as follows:
The qualitative analysis of the calculated results only requires establishing the proportional relationship between and . so it is assumed that .
Integral to draw, Where is concentration of substance A1, is initial concentration of substance A1.
Therefore:
the reaction rate equation for HCHO decomposition is:
According to formula (13), reaction rate is positively correlated with . A higher the O2 concentration leads to a faster the reaction rate. According to Le Chatelier's principle, the concentration of the reaction gas increases, and the reaction proceeds in the direction of gas reduction. Hence, the reaction proceeds in the forward direction with the increases of O2 concentration, resulting in the decomposition of HCHO.
Due to the surface of the pore in TiO
2 has the ability to absorb water molecules in the air, these molecules are directly contact with O
2 decomposed by TiO
2 catalysis, then participated in the catalytic decomposition of HCHO on TiO
2 aerogels. Therefore, according to the formula
, (where
S is surface area,
r is radius) the decomposition reaction and the pore surface area were positively correlated. The decomposition reaction is proportional to the square of
r. Conversely, as the pore size increases, the volume fraction occupied by gas also increased, resulting in the decrease of the oxygen partial pressure. According to the ideal gas equation
pV=
nRT, (where
p is pressure,
V is volume,
n is amount of substance) the oxygen pressure is inversely proportional to the third power of the pore size
r. In conclusion, O
2 pressure is inversely proportional to the pore size
r of TiO
2 aerogel, that is, the larger pore size will lead to the smaller O
2 pressure (
Figure 9).
As depicted in
Figure 9, within the range mesoporous pores between 2 nm-50 nm, O
2 pressure decreases with the increase of pore size. In particular, with the mesoporous pores between 2 nm-10 nm, a pronounced rapid decrease in O
2 pressure is observed. Conversely, for pores exceeding 10 nm, this decrease becomes more gradual. Therefore, the pore size with the greatest influence on oxygen partial pressure in TiO
2 aerogel falls within the 2 nm to 10 nm range. According to formula (13), when the concentration of HCHO is determined, the concentration of O
2 has a decisive effect on the decomposition rate of HCHO. According to the above calculation results, the optimal pore size range of TiO
2 aerogel for HCHO photodecomposition is 2 nm~10 nm.
This investigation not only furnishes a novel theoretical framework for employing TiO2 aerogels in HCHO decomposition reactions but also heralds new avenues for exploration in the realm of green chemistry, leveraging TiO2 aerogels' unique properties.