Oxygen vacancies of the TiO2 nano-based composite photocatalysts in visible light responsive photocatalysis

The TiO2 nano-based composite photocatalyst is best known for application in solving the recent issues related to energy and environmental purification. Due to the low cost, nontoxicity, chemical stability and high efficiency of TiO2, it is unquestionably one of the most considered materials in environmental treatment. In this systematic review, we reveal the outstanding potential of oxygen vacancy in photocatalysis, and discuss the contemporary advancement in the photocatalytic activities, productivity, preparation methods and oxygen vacancy of the TiO2 nano-based composite photocatalyst for environmental treatment and energy as well as wastewater treatment. This exposé is anticipated to enlighten researchers and engineers on the specific management and assessment of the environment, which warrants prospective research into developing appropriate mechanisms for energy, wastewater treatment and environmental purification.


Introduction
Currently, research efforts have shied toward semiconductor photocatalysts such as TiO 2 , ZnO, g-C 3 N 4 , etc., due to the ability of these metals to convert pollutants into CO 2 and H 2 O for environmental applications such as biofuel production and wastewater treatment. For modest and cost-effective treatment, additional efficient photocatalysts are highly preferred to parallel the extensively used TiO 2 . The eld of water photocatalysis has experienced tremendous growth, following the discovery of photocatalytic H 2 production in the 1980s and the photocatalysis and hydrophilicity of TiO 2 lms by Honda and Fujishima in the 1990s, and other scientists in the early 70s. [67][68][69][70][71][72] Further studies have revealed that industrial applications in this area have been wonderfully accomplished since the early 90s based on the outcomes from these basic research efforts. 6,[105][106][107] Photocatalysis is the speeding up of oxidation and reduction reactions, brought about through the activation of a catalyst consisting of a semiconductor either alone or in combination with metal/organic/organometallic promoters, through light absorption and the subsequent charge and/or energy transfer, which can lead to the transformation of a pollutant. It must be noted that during the photocatalytic reaction, two actions must occur simultaneously in order for the successful production of reactive oxidizing species to occur. Typically, the rst involves the oxidation of dissociatively adsorbed H 2 O by photogenerated holes, the second involves the reduction of an electron acceptor (typically dissolved oxygen) by photoexcited electrons; these reactions lead to the production of a hydroxyl and superoxide radical anion, respectively. 68,69,97,103,104 In the area of photocatalysis, energy saving green tools are the ultimate, in accordance with photoinduced water cleavage to TiO 2 electrodes, a phenomenon discovered by the pioneers in the eld. 1 It is believed that TiO 2 photocatalysis is currently one of the best in the recent research in nanoscience and nanotechnology.
There have been many successful reports on the potential applications of TiO 2 photocatalysts in water and environmental purication and management in the past few decades. In solving the recent issues related to energy and environmental purication, heterogeneous metal oxide semiconductor photocatalysts are best known. Due to the low-cost, nontoxicity, chemical stability and high efficiency of TiO 2 , it is unquestionably one of the most considered materials by researchers in the eld of photocatalysis. However, the low quantum efficiency of TiO 2 in photocatalytic mechanisms and the ineffective use of visible light for H 2 harvesting, which mainly comes from its high recombination rate of photogenerated electron-hole pairs and wide band gap, have become problematic in prospective applications. 9,73,74 Scientists in the eld have adopted various approaches for the improvement of the photocatalytic efficacy of TiO 2 . These strategies can be summarized as morphological modications, such as increased surface area and porosity, or as chemical modications, by the incorporation of additional components into the TiO 2 structure. Three basic strategies have been adopted for the structural modication, namely, doping with metallic/non-metallic elements or co-doping of metallic and non-metallic elements, 9,108-110 modication through the introduction of defects such as oxygen vacancies and Ti 3+ in the band gap, 111,112 and surface modication by treatment techniques. [113][114][115] Currently, the attention is centered on oxygen vacancies, which occur naturally in oxides, due to the vital role they play in the physical characteristics of materials; oxygen vacancies may be positive or negative. Oxygen vacancies occur when the number of oxygens in a particular compound is less than what it is supposed to be to make a perfect crystal lattice. This results in materials such as ZnFe 2 O 4 , where ZnO and Fe 2 O 3 are chosen as starting compounds.
This review is centered on the ability and effectiveness of the prospective applications of oxygen vacancies and photocatalysis using TiO 2 composites for energy, wastewater and environmental treatment in order to design future implementations to solve environmental problems. This is attractive for ecological uses such as water purication, puried biofuel production and wastewater treatment. Researchers in this eld are doing their best in one way or the other to use these composites to solve the environmental crises. This discussion tackles the use of oxygen vacancies of TiO 2 nano-based composites in photocatalysis to solve environmental concerns such as water treatment and related issues.

Photocatalysis
Environmental remediation technology such as aromatic oxygen vacancy compounds and NO x have been suggested by scientists in recent years for the treatment of urban pollution; thus leading to the use of photocatalytic self-cleaning and depolluting constituents. The photocatalytic properties of a thin layer of TiO 2 entrenched in paints or concrete or placed at the surface of the particle inuences the choice of these viable products. Photocatalysis is designed to harvest visible light (the major component of solar radiation that reaches the Earth's surface) using photocatalysts to drive chemical transformations ( Fig. 1 and 3). The use of TiO 2 photocatalysts as an evolving pollution control technology has been stated in numerous elds of science. 9,22,31,37,38 It, therefore, seems that the actual inuence and efficiency on the quality of water of these novel advancements have not been fully demonstrated to date but it has been revealed in a very restricted way. Photocatalysis embraces a class of reactions that use a catalyst activated by light and the decomposition of organic composites into water and carbon dioxide, leading to the fascinating properties of surfaces covered with a photocatalyst; these can shield against coating by fouling matter, are self-cleaning, antibacterial and viricidal.
Heterogeneous photocatalysis in gas and liquid phase remediation has been intensively described by many researchers. Typically, the complete procedure is made up of ve separate steps (Fig. 2): allocation of the reactants in the gas or liquid phase to the surface, adsorption of at least one of the reactants, reaction in the adsorbed phase, desorption of the product(s), and removal of the products from the interface region.
The third step is where the photocatalytic nature of certain metal oxides plays a role despite all the steps usually found in all heterogeneous processes. Semiconductor catalysts such as TiO 2 , ZnO, ZrO 2 , CeO 2 etc., with photons carrying energy equal to or in excess of its band gap, create electron-hole pairs similar to photoinduced electron transfer and the absorption of light promotes one electron into the conduction band. The oxide may Yanhui Ao, Ph.D., is a Professor at Hohai University, Nanjing, China. He received his Doctorate degree from the Southeast University, Nanjing, China. He has published more than 130 academic papers and also has more than 7 patents. His research interests mainly focus on new photocatalysis-based water remediation technology using nanomaterials, water resources protection, the behaviour of manufactured nanomaterials in the environment, and environmentally friendly materials.
transfer its electron to any adsorbed electron acceptor (thereby promoting its reduction), while the hole (or the electron vacancy) may accept an electron from an adsorbed donor (promoting its oxidation).
TiO 2 photocatalysis happens when the energy of the photons is enough to promote the electrons in the valence band to jump to the conduction band; this occurs in three steps: (a) Photon absorption and electron-hole pair generation.
(b) Charge separation and migration to surface reaction sites or to recombination sites.
(c) Surface chemical reactions at active sites containing donor oxidation at valence-band holes and acceptor reduction at electron centers (Fig. 4).
Numerous defects associated with photocatalytic principles have been identied by researchers. During photocatalysis, cation radicals 17 can be produced by injecting charge from    Irradiation is usually the starting process in TiO 2 photocatalysis; thus, the excitation of electrons by photons at the ground state is the prerequisite. Periodically, the excitation stage and thus the photoexcitation of electrons at the ground state also occurs in most of the materials adsorbed on the surface of the semiconductors; 97 e.g., the reaction occurring in dye-sensitized solar cells. 42 There are different pathways that are mainly experienced by the charge carriers. Many of the individual materials such as TiO 2 are mostly used for water splitting, oxidation/reduction, (Fig. 5) in both suspension and electrode systems.
Signicant research attention is centered on metal oxides and silicates due to their photocatalytic activities and their wide range of applications in photocatalysis. 90 89 are known photocatalysts, with their use for effective photocatalytic activities being dependent on their band gap 86-88 ( Fig. 6 and 7). The trapping experiments for holes and free radicals (ROS/RNS) are usually used to explain the photocatalytic schemes of photocatalysts such as TiO 2 . Also, the trapping experiments of holes, hydroxyl radicals ($OH), and superoxide radicals ($O 2À ) have been reported by many studies in photocatalysis as the main oxidative species that are found in photocatalytic processes.
In instituting whether transformation or water splitting ( Fig. 5) is really a photocatalytic activity, with direct activation of reactants and intermediates through visible light absorption, it is essential to establish that the photocatalyst absorbs the photons rather than the absorbents. 92,93 Photoexcited charge carriers ( Fig. 7) drive the conversion of water (Fig. 5) and carbon dioxide into H 2 , CO, CH 4 , and CH 3 OH related oxygenates and hydrocarbons 94-96 during photocatalytic production. Fig. 5 The mechanism of photoreduction of CO 2 to the methoxyl radical on TiO 2 in the presence of water during the photocatalytic reaction. Reproduced with permission. 63 Copyright 2011, American Chemical Society.  2.1.1. Hybrid non-porous TiO 2 photocatalysts. The concentration of chemical compounds is determined by the rate of chemical reactions as described by Yu and coauthors. 55 TiO 2 has low adsorption ability, specically for nonporous compounds, which is as a result of its polar structure. The synthesis of TiO 2 with adsorbents is an important factor in improving the adsorption properties of TiO 2 particles; the adsorbents hold the compounds on the adsorbent support. Yu and coauthors 45 reported that an increase in the photoreaction rate comes about due to the formation of high environmental concentrations of the compounds around the nonporous TiO 2 particle. Consequently, numerous schemes have been established to alter the properties of TiO 2 , anticipating the lengthening of the lifespan of the photogenerated electron-hole pairs and a narrower band gap. To extend the optical absorption to the visible region and the lifetime of TiO 2 , many successful studies by researchers in the eld have centered on doping metal or non-metal elements into the TiO 2 lattice to generate donors or acceptors in the band gap. However, there are substantial restrictions for this approach; the reduced incident photon to electron transformation efficiency in the UV light region and improved carrier recombination centers are the most challenging. Consequently, to heighten the useful application of TiO 2 , it is important to decrease the recombination and then increase the visible light absorption. 45 Various adsorbents such as zeolum, alumina, silica, mordenite, ferrierite, and activated carbon, have been used as the support for TiO 2 and they have shown that the hybrid photocatalysts are effective in achieving high decomposition rates of propionaldehyde in the air. Ao and Lee 46 used activated carbon with TiO 2 as the hybrid photocatalysts in their research and they made similar conclusions to those made by Yu and colleagues. 55 The photodegradation efficacy of ZnO, when synergized with activated carbon as the adsorbent, was found to be higher compared to TiO 2 .
2.1.2. Preparation of the TiO 2 photocatalysts. Preparation methods (Table 1) for nano-based composites include the hydrothermal technique and water-in-oil microemulsion 29,49 , the sol-gel method 47 , and vapor decomposition of titanium alkyl oxides or TiCl 4 in oxygen. 48 The TiO 2 nanomaterial obtained is mostly based on the conditions used in its preparation. These include the following: (1) Gas-phase method.
(2) Liquid-phase method.    50 and high-pressure conditions (2) Crystalline products are oen formed (Fig. 8), considering the nucleation and crystal development. These products have different compositions, structures, and morphologies. TiO 2 powders are obtained aer critical washing and drying (3) NaOH or ethanol and water frequently serve as the solvents. TiCl 4 and Ti(SO 4 ) 2 are also commonly used as precursors (4) The hydrothermal procedure is best used to improve crystallization on both the laboratory and commercial scales. The crystallization process 51 is inuenced by features such as reaction time, reaction temperature, the medium, and type of precursor (2) Water-in-oil microemulsion techniques (1) In recent years, scientists in this eld have shied a lot of attention to monodisperse nanoparticle preparation using this technique 49 due to the following factors: (a) The water-in-oil microemulsion is thermodynamically stable 52 (b) It is also the optically isotropic dispersion of surfactant stabilized microdroplets of water in an external oil phase. 52 These extremely dispersed nanosized microdroplets are well-matched for particle synthesis. This is due to the ability to control the microenvironment, the site for chemical reactions 3. Coating methods (1) Studies have revealed that active commercial TiO 2 powder possesses less photocatalytic activity than the TiO 2 lm. 53 Photocatalytic activity is oen inuenced by coating the TiO 2 . 53 TiO 2 doped with elements such as C and N for doped TiO 2 synthesis is less expensive 29 (2) There are two main coating methods: (a) Directly sintering or dip-coating (sometimes called wash-coating) the catalyst powders 54 (b) Formation of the TiO 2 lm on the support. This mostly uses the following preparative techniques: (i) Metal-organic CVD (MOCVD) 19 (ii) Chemical vapor deposition (CVD) (iii) Sol-gel 40,55 (iv) Spray coating lattice distortion. Lattice distortion is usually in the form of linear defects, point defects, three-dimensional valleys or hetero-impurities and two-dimensional aws or interfaces. Fujishima and team found that point defects are well studied by scientists in the eld and this delivers the principal understanding of the properties of lattice defects, consisting of magnetic, electrical, energetic, optical, and thermal characteristics in solids. 2 OTDs are commonly accepted as point defects.
In photocatalytic reactions, the point trap model is best used to analyze oxygen vacancies and OTD-related clusters. 43 In the case of the synthesis process, lattice defects are certainly produced. These defects are thermal and preparation dependent. 43 During material doping, intrinsic point defects are oen observed in the lattice. These observed intrinsic point defects exist as atomic impurities, vacancies and interstitials. Studies have shown that these defects are scattered on at surfaces as observed by STM images. The scattered distribution of these defects is noted to be the main reason for most of the increased photocatalytic activities.
In contrast, the presence of the coordinate and disordered defects in diverse samples makes it barely possible to exactly compare the photocatalytic properties. Under ambient conditions at room temperature, distinct particles are uncommon. 44 To simplify the study on the molecular scale, much research has been devoted to the hypothesis pertaining to well-dened particles. Consequently, there is a strong call for the understanding of the nature of photocatalytic reactions regarding the preparation of comparable standard specimens.

Oxygen vacancy
Oxygen vacancy occurs when the number of oxygens anticipated in a particular compound is less than what it is supposed to have to make it a perfect crystal lattice. Annealing in a reducing atmosphere is a prerequisite for the removal of oxygen from a compound made up of oxygen. Extra oxygenation requires annealing in an oxidizing atmosphere (O 2 ). Simply put, this involves hole doping (the removal of two electrons as a result of adding one oxygen atom from the parent atom), and electron doping (addition of two electrons due to the removal of one oxygen atom from the parent atom). Magnetic and transport properties are mostly determined by the nal material's structure, which is also dependent on its total charge/spin state. This idea is expected to be true in nanomaterials or bulk materials; however, anomalous properties are seen in nanomaterials, due to the ability of these materials to exist in new or active electronic states or environments (Fig. 9). 10 Considering spinel type ferrites, the exchange of cations in the tetrahedral and octahedral sites in these magnetic oxides are well known to induce vacancies or lattice defects. There is, therefore, the inversion of normal spinel structures due to the occupation of most divalent transitional metal ions. At this point, the superexchange mechanism is produced due to the relative positions of both octahedral and tetrahedral sites of the atoms. Interatomic distances, anions, cations and bond angles are extensively close. The hopping mechanism that has a giveand-take of an e À to a half-lled shell is oen determined by the oxygen atom in the structure. Antiferromagnetic coupling to the unpaired spin of oxygen, as described by the Pauli exclusion and Hund's rule, or contribution to the net magnetism occurs due to an outstanding exchange with the closest neighbor transition metal. Negative and positive oxygen vacancies are two main types of oxygen vacancy. The concentration is centered on the oxygen vacancy, one of the natural spots in oxides, due to the vital role it plays in the physical characteristics of materials.
2.2.1. Oxygen vacancies and the photocatalytic activity of nonporous, and doped TiO 2 . Recently, a novel technique involving positron annihilation lifetime spectroscopy was used to characterize oxygen vacancy associated with hydrogenation modied TiO 2 . 2 This research revealed that hydrogenated TiO 2 contains some larger vacancy clusters, a massive amount of small neutral Ti 3AE oxygen vacancies and a small number of voids of vacancies. The emergence of new Raman vibrations occurred as a result of these defects, which led to the atomic lattice high-resolution transmission electron microscopy (HRTEM) images. 56 The concentration of oxygen vacancies was measured by X-ray photoelectron spectroscopy (XPS) and this was found to be 3% in the TiO 2 lattice. There was a remarkable increase in photocatalytic activity when the oxygen vacancies introduced by hydrogenation slowed the charge recombination; this was actually revealed by the photocurrent, photoluminescence (PL) spectroscopy, and degradation of methylene blue. Fujishima and research group adopted reduction in hydrogen atmosphere coupled with an impregnation process to prepare defective TiO 2 with oxygen vacancies and Cu(II) nanocluster modication. 2 There was no improvement in the visible light from the TiO 2 photocatalyst samples with optimum oxygen vacancy. Conversely, the photocatalytic enactments of TiO 2 samples with a greater quantity of oxygen vacancies were sharply reduced; they even demonstrated much enriched visible light absorptions. Wang and group successfully used the hydrothermal method in their experiment to prepare platinum decorated TiO 2-x N x via a facile one-pot route by using nanotubular titanic acid as a precursor. 3 They further evaluated the photocatalytic performance of Pt/TiO 2Àx N x for the visible-lightinduced degradation of propylene in relation to the synergistic effect among single-electron-trapped oxygen vacancies and N plus Pt dopants. It was proposed that the synergistic effect among oxygen vacancies and dopants led to the enriched photocatalytic activity of the as-synthesized Pt/TiO 2Àx N x . The TiO 2 photocatalyst spectral response to the visible light range is usually improved by impurity doping (Tables 2 and 3). 32,37 In 2015, experiments performed by Park and group showed that the maximum entropy method (MEM) analysis and X-ray diffraction (XRD) used in the analysis of the changes in the V O concentration as a function of the Co-doping level from ZnO Rietveld renement generated the same results but X-ray photoelectron spectroscopy (XPS) conrmed a different outcome. 4 The Wendt group's experiment 5 on adsorption and desorption, where they used oxygen and water as probe molecules that were observed in STM images to bridge oxygen vacancies, and oxygen atoms on surface Ti atoms, reported the production of pure and reduced TiO 2 surfaces. Their work further addressed the criteria to determine the cleanliness by STM imaging. 5 Yang and colleagues in their research in 2010 on Chinese housing energy and environment introduced a novel technique for the characterization of oxygen vacancy associates in mostly hydrogen modied TiO 2 photocatalyst using positron annihilation lifetime spectroscopy (PALS). They concluded that small neutral Ti 3AE oxygen vacancies (large quantity), vacancy clusters (appreciably large in size), and voids of vacancies (just a few of them) were actually in hydrogenated TiO 2 . In the research by Fujishima and coworkers, 2 there was a remarkable improvement in the photocatalytic activity of 2% WO 3 -TiO 2 catalysts when an appropriate oxygen vacancy was employed by using Fe 3+ as an electron acceptor under UV irradiation in 12 hours.
Researchers have found out that the controlled combustion of Ti metal in a natural gas ame can also be used to synthesize chemically modied n-type TiO 2 by using carbon as a doping agent. 8,15 Inhibition of the charge recombination and trapping of the photoexcited electrons using these doped impurities (Table 3) also helps to increase the photocatalytic activity. [33][34][35][36] There are three methods for preparing the visible light responsive photocatalyst, namely, doping TiO 2 with transition metal ions, doping nitrogen into TiO 2 and utilizing sensitizing dyes.
Semiconductors such as sensitizing dye (higher band-gap), change the electron-transfer processes during the photocatalytic reaction as described by Vinodgopal and Kamat in the principle of photosensitization of a semiconductor. 16 Dye cation radicals 17 can be produced by injecting charge from the excited dye molecule into the conduction band of TiO 2 . Table 2 Comparison of the differences between doped TiO 2x N x and TiO 2 photocatalysts (Fig. 10) Doped TiO 2x N x photocatalyst TiO 2 photocatalyst (a) Several nitrogen-doped TiO 2 samples (Fig. 10) 7 were found to photodegrade gaseous formaldehyde, 8 acetaldehyde, 8,9 acetone, 10 2propanol, 11,12 toluene, 8,13 and methylene blue (a) Pure TiO 2 photocatalyst is usually less effective for photo depletion of methylene blue 39 (b) TiO 2x N x (lms and powders) has better photoactivity than TiO 2 under visible light irradiation 29 due to higher surface acidity (Fig. 10) 29,30 (b) TiO 2 has less photocatalytic activity under visible light irradiation (c) The active wavelength of TiO 2x N x , of less than 500 nm covers the main peak of the solar irradiation energy beyond the Earth's atmosphere (around 460 nm) 9 (c) A similar active wavelength of 500 nm for TiO 2 does not cover the main peak of the solar irradiation energy beyond Earth's atmosphere 9 (d) Introduction of ZrO 2 into TiO 2x N x exhibited higher porosity, higher specic surface area, and an enhanced thermal stability 14 (d) This feature was absent in TiO 2 (e) Decreases the deactivation of the photocatalysts 28 (e) Deactivation of the surface occurs very quickly (2) There is a considerable reduction in the photocatalytic activity in the UV region (2) Presence of metals, such as Li + , Zn 2+ , Cd 2+ , Ce 3+ , Co 3+ , Cr 3+ , Fe 3+ , Al 3+ , Mn 2+ and Pt (1) The maximum entropy method (MEM).
(2) X-ray diffraction (XRD). Most research efforts have also proposed a method for the analysis of oxygen vacancies using conventional XRD and MEM techniques ( Table 4).
The efficiency of a particular photocatalyst depends strongly on the competence of electron-hole pair separation and the adsorption ability of gaseous oxygen vacancy compounds. Coupling TiO 2 catalysts 18-20 with other semiconductor oxides or depositing metals or doping TiO 2 photocatalysts with some other metal ions help to improve its photocatalytic activities. Studies have 18 established that the photoreactivity for both oxidation and reduction signicantly improved when they doped with Fe 3+ , Mo 5+ , Ru 3+ , Os 3+ , Re 5+ , V 4+ , and Rh 3+ at 0.1-0.5%, but Co 3+ and Al 3+ doping decreased the photoreactivity. 22 When the active sites on the reaction surface 21 of a gas-solid photocatalyst is reduced, the activity also decreases. 21 It can be concluded that the activity of catalysts depends on their lifetime, which is potentially essential to the economic process. 21 Studies on toluene, 23,24 ethanol 25 and trichloroethylene, dimethyl sulde, and trichloropropene 22 have found out that deactivation in these compounds is really uncommon. Sauer and Ollis 26 in their work stated that particle materials block pores on the photocatalysts' surfaces, hence, change the surfaces of these catalysts. 27 The chemical or physical adsorption of organic substrates on the TiO 2 matrix is improved when of lanthanide ions, for instance, La 3+ , Eu 3+ , Pr 3+ , Nd 3+ , and Sm 3+ amalgamated into the matrix 19 .
2.2.3. The function of the TiO 2 oxygen vacancy in the energy structure. The pristine energy structure of most outstanding nanomaterials, such as TiO 2 is fabricated by the conduction band and valence band. It is noted that the development of the main active sites, mostly for visible light absorption and the band gap is supported by these energy levels. Lv and group stated that the function of oxygen vacancies as the visible light response sites is due to the defective TiO 2 surface during visible light irradiation. 57 The inuence of the energy structure of the TiO 2 photocatalyst on the charge carrier migration and light absorption is very high (this happens when there is the removal of oxygen atoms; Ti 3+ is not involved and when there is the occurrence of oxygen vacancies). This calls for urgent, precise calculations of the defect state in TiO 2 energy structure. 2 Fujishima and group have reported that the defect states vary remarkably in the band gap. Recent work 58 reported lower energy (for all Fermi-level positions in the band gap) in oxygen vacancies. It has been proven that within the band gap of TiO 2 , the oxygen vacancy usually forms a mid-gap electronic state and, therefore, TiO 2 functions as the donor. This novel trend was supported by research performed by Eun Chang and colleagues. 39 These scientists further summarized energy levels of oxygen vacancies in TiO 2 . The paradox of the intensely localized small polarons and the delocalized free polarons failed to be explained vividly by isolating electronic bands in many experiments and this led to hybrid function, which has been a remarkable theory. In the electronic band, it was reported that there exist two types of hybrid functions: (a) Between the electrons and the conduction band in the presence of delocalized free electrons.
(b) Between the electrons and the oxygen vacancies in the form of oxygen vacancy complexes and the ionized shallowdonor impurities.
Considering the theoretical viewpoint, the highest occupied molecular orbital and the lowest unoccupied molecular orbital oen shis due to the inuence exerted by the defect states. 59 It was realized from experiment 59 that an occupied defect state of 0.7 eV below the bottom of the conduction band was decreased by the oxygen vacancy. 7 Research on the characterization analysis of anatase, rutile, and brookite showed that anatase and brookite were made up of oxygen vacancies, which remarkably improved the photocatalytic activity. In conclusion, it is presumed that the difference in the absorptions on the surfaces of the active sites and the reactants (CO 2 , H 2 O, CO 2 À , and CO) were due to oxygen vacancies.
2.2.4. The inuence of oxygen vacancies on charge transfer. In situ-EPR is a versatile technique for monitoring the separation and transfer of photogenerated electrons in semiconductors based on oxides 101,102 or carbon nitrides 98 since electrons excited to the conduction band can be trapped at oxygen vacancies 100 and carbon defects. 99 The promotion from the highest occupied molecule orbitals to the lowest unoccupied molecule orbital with light irradiation causes the rapid movement of an excited single electron in response to the applied electric eld; i.e., the voltage supplied by a power source or difference in potential between the energy structure of TiO 2 and the redox potential of the adsorbed species (Fig. 10). Due to small lattice distortions in electron creation, the Franck-Condon factor is mostly small. 60 According to the Marcus-Hush Table 4 Comparison of selected quantitative analysis tools for oxygen vacancy

Analysis tool Comparison
(1) X-ray diffraction (XRD) (1) X-ray diffraction (XRD) is a simple and useful tool for the analysis of oxygen vacancy because it reveals the crystal structure and the electron density distribution of periodic arrays of atoms (2) Analysis of X-ray diffraction data using Rietveld renement has been attempted for the quantitative analysis of oxygen vacancies in terms of oxygen site occupancy (3) X-ray diffraction requires the use of neutrons or synchrotron X-rays (2) Maximum entropy technique (1) The maximum entropy method (MEM) is also a suitable tool for the analysis of oxygen because it uses the more precise Rietveld renement that resolves summation-terminated errors and affords a better structural model (2) The maximum entropy technique presents insignicant modeling errors via the least-biased electronic reconstruction of X-ray diffraction patterns in real space electron transfer theory, the transfer of charge carriers is restricted by the disappearing reorganization of energy but it usually follows a band model and hopping model (Fig. 11).
Lattice distortion makes use of the original energy provided by an election or a photon. The swily vanishing approach for the charge carriers 7 has been reported by many scientists as annihilation at the recombination center. Mitsuhara and coworkers' studies 43 on semiconductors led to a proposal of three recombination mechanisms (Table 5).

Applications of oxygen vacancies in photocatalysis.
The impact of oxygen vacancy in photocatalysis includes the following: (i) To alter the band energy structure of the pristine TiO 2 as the defect states.
(ii) To trap charge carriers in the migration pathways as the electron pool or recombination center.
(iii) To power the adsorption of reactants (e.g., H 2 O, O 2 , CO 2 , and organic pollutants) as the active sites. 61

Conclusion
This systematic review sums up the novel developments in the photocatalytic applications of TiO 2 -based composite photocatalysts with oxygen vacancies in the areas of energy, wastewater treatment and environmental purication. Nonporous TiO 2 has revealed its greatness as one of the best candidates in designing and engineering advanced composite photocatalysts. There is little doubt that the considerable progress in TiO 2 nano-based composites will continue in the near future. More studies are necessary in order to make full use of the excellent properties resulting from the oxygen vacancy of the nonporous TiO 2 photocatalysts.