Abstract
The work is devoted to the study of the possibility of using low-energy irradiation with helium ions to increase the photocatalytic activity of tungsten oxide (WO3) microparticles, if used as catalysts for the decomposition of Rhodamine B. The prospect of this study is to find new ways to solve the problem of increasing the catalytic activity of micro- and nano-particles. During the study, the dependences of changes in the structural and morphological properties of the studied microparticles exposed to irradiation were established, and the effect of irradiation on the increase in the efficiency of decomposition of the organic dye Rhodamine B in aqueous media under UV irradiation was studied. It was found that the use of irradiation with helium ions leads to an increase not only in the rate of photocatalytic reactions, but also in the degree of mineralization, as well as in the efficiency of removing COD from aqueous solutions. Cyclic tests have shown the resistance of the modified microparticles to degradation, as well as the retention of the decomposition efficiency, with a decrease in the degree of mineralization after ten test cycles by 30%. At the same time, unlike the initial microparticles, ionic modification leads to an increase in the resistance of the structure to temporary degradation during cyclic tests.
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1 Introduction
Today, one of the most pressing environmental problems is the wastewater treatment of the textile and light industries, in the production of which a huge amount of organic dyes is used to dye fabrics, paper, etc. The use of new dyes, such as indigo carmine, Rhodamine B, etc., which have good indicators of light fastness, brightness, opened up new opportunities for the production of printing, textiles, pigment production, etc [1,2,3,4,5]. However, in spite of their active use, the processes of utilization of these dyes are rather laborious and energy-consuming, and the accumulation of dyes in high concentrations can lead to pollution and mutagenic effects on the environment [6, 7]. However, in most cases, the use of standard physical or chemical methods for the separation or removal of organic dyes is not applicable or ineffective. This is primarily due to the fact that most dyes have high resistance to chemical attack, radiation, degradation, insolubility in water, etc [8,9,10].
In the recent decades, to solve this problem and increase the efficiency of the utilization of organic dyes and their wastes, methods for photocatalytic decomposition under the influence of UV radiation using metal nano- and microstructures, as well as their oxide compounds as photocatalysts, have been proposed [11,12,13,14,15]. At the same time, structures based on ZnO [16,17,18,19], CuO [20, 21], GaO [22, 23] Cd, Se, and their various compounds with ferrite structures [24,25,26,27,28,29,30], as well as various magnetic nanoparticles based on iron oxides or niodymium [31,32,33,34] have found wide application in this field. Interest in these types of nano- and micro-structures is due to their unique structural, optical, magnetic or conductive properties, which make them promising materials not only in photocatalysis, but also in other fields of science and technology [35,36,37,38]. So, for example, for the decomposition of Rhodamine B in aqueous media Ahmad et.al. [39], it was proposed to use composite structures based on zinc oxide and carbon nanotubes (ZnO/CNTs), which during the study showed high efficiency not only in dye degradation, but also in mineralization and in lowering Chemical oxygen demand. And in the work of Mahadik et al. [40] showed the promise of the use of nanostructured thin films based on titanium oxide (TiO2) and iron oxide (Fe2O3) for the photocatalytic degradation of Rhodamine B. Most of the studies on the photocatalytic reactions of dye degradation pay great attention to the size of the catalysts. So, for example, in a series of works by Martinez-de la Cruz et al. [41,42,43] showed that a decrease in the size of WO3 nanoparticles leads not only to an increase in the efficiency of photocatalytic decomposition, but also to a significant increase in the reaction rate. It is worth noting that to increase the efficiency of photocatalysts, various modifications of structural and morphological properties are also used, such as doping with rare earth elements [44,45,46], adding carbon nanotubes or fullerenes to the composition [36, 47, 48], thermal or ionic effects [49, 50]. In this case, the main goal of any modification methods is to change the surface morphology of the photocatalyst, which plays an important role in heterogeneous catalysis. An increase in the active surface area due to grain size changes or dislocation density can create additional activation centers capable of participating in photocatalytic decomposition. One of the effective ways to change the surface morphology is to irradiate with low-energy ions with large fluencies. In this case, the low energy of the incident particles and the predominance of nuclear energy losses during inelastic collisions lead to the formation of a large number of atomic displacements in a small surface layer with a thickness of no more than 250–300 nm [51, 52]. In this case, large irradiation fluences (1014–1015 ion/cm2) lead to the formation of the effect of overlapping defective regions, which enhances the efficiency of changing the morphology of the surface layer, while the inner bulk of the photocatalyst itself remains unchanged.
Based on the foregoing, the aim of this work is to study the possibility of using low-energy helium ions to modify the near-surface layer of WO3-based microparticles and increase the photocatalytic activity and degree of mineralization in the decomposition of the organic dye Rhodamine B in water under the influence of UV radiation. The choice of ionizing radiation in the form of helium and fluence ions 1 × 1015 ion/cm2 is due to the possibility of modeling the processes of defect formation and their overlap in the structure of the surface layer in order to increase the density of dislocation defects and change the specific surface area.
The novelty of this study consists in expanding the possibilities of using ionizing radiation as one of the methods for modifying nano- and micro-particles, as well as the possibility of increasing the efficiency of photocatalytic properties of oxide micro- and nano-particles. At the same time, the choice as the basis for photocatalysts of commercial WO microparticles is due to a large number of promising studies aimed not only at studying the structural, optical and electronic properties of WO micro- and nano-particles, but also at finding methods for modifying their properties using various methods, including irradiation with ionizing radiation. At the same time, high resistance to degradation, oxidation processes, as well as temperature differences and heating up to 700–900 °C, the width of the forbidden zone 2.4–3 eV, the electronic structure makes WO3-based structures one of the promising materials not only for photocatalysis, but also for gas-sensitive sensors, semiconductor devices for determining harmful and explosive gases and substances, etc. At the same time, in most practical applications to nano- and micro-structures, requirements are put forward for increased resistance to degradation, as well as duration of operation and preservation of stability of performance. In turn, modification with ionizing radiation allows increasing resistance to degradation, as well as making significant changes in the optical and electronic properties of structures, thereby changing photocatalytic activity. The relevance of the study lies in the search for new opportunities to increase the photocatalytic activity of oxide micro- and nanoparticles, which will further increase the productivity not only of the degree of purification, but also of the number of cycles of use.
2 Experimental technique
The initial samples were WO3 microparticles manufactured by Sigma Aldrich (St. Louis, Missouri, USA), with a monoclinic type of crystal lattice, with a spatial syngony P21/n(14). The choice of these microparticles is due to their wide use as a basis for photocatalysts, high resistance to degradation and decomposition, which allows them to be used a sufficiently large number of times in photocatalysis.
Irradiation with low-energy helium ions (He2+) with an energy of 40 keV was carried out at the DC-60 heavy ion accelerator (Nur-Sultan, Kazakhstan) with an irradiation dose of 1 × 1015 ion/cm2 [53, 54]. Previously, we carried out a detailed study of the processes of radiation damage during irradiation with helium ions, as well as the subsequent processes of swelling and changes in the surface morphology of microparticles. In [54], structural and morphological changes during the accumulation of radiation damage are considered in detail, and the mechanisms of their origin are proposed. At the same time, one of the important results obtained by us was the fact that under irradiation with doses of 1015 ion/cm2, a change in surface morphology is observed, leading to partial fragmentation of grains and an increase in the active surface area. These structural changes can be used to increase the photocatalytic activity, as well as to change the rate of the dye decomposition reaction and the degree of mineralization.
The study of changes in the morphological features of microparticles before and after irradiation, as well as degradation after photocatalytic reactions, was carried out using scanning electron microscopy [Hitachi TM4000 scanning electron microscope (Hitachi Ltd., Chiyoda, Tokyo, Japan)] and transmission electron microscopy (TEM microscope JEM 2100 LaB6 or ARM200F, JEOL, Ltd., Tokyo, Japan).
The kinetics of changes in structural characteristics was evaluated by X-ray diffractometry performed on a D8 Advance Eco powder diffractometer (Bruker, Karlsruhe, Germany). The diffraction patterns were recorded in the Bragg–Brentano geometry at 2θ = 20°–50°, in increments of 2θ = 0.01°, and the spectra were taken at 3 s. The analysis of the obtained diffraction patterns was carried out using the DiffracEva 4.2 software.
Optical properties and determination of optical characteristics were carried out by analyzing the UV–Vis spectra of the synthesized ceramics, recorded on a Jena Specord-250 BU analytical spectrophotometer. Shooting mode 350–1000 nm with a resolution of 1 nm.
The photocatalytic properties of WO3 microparticles were evaluated by the decomposition of the organic dye Rhodamine B in water under the influence of UV radiation. A box made of borosilicate glass immersed in a water bath to maintain room temperature during processing with a xenon lamp (2100 lm) was used as a photochemical reactor. The test interval was 300 min in increments of 30 min. The concentration of WO3 microparticles was 10 mg/L. Initial dye concentrations were 30 mg/L for Rhodamine B. To prevent the accumulation of sediment at the bottom of the box as a result of catalyst agglomeration, vigorous stirring of the solution was used.
Determination of photocatalytic properties was carried out using UV–Vis spectroscopy methods, by taking UV–Vis spectra in the range 400–700 nm, with a step of 1 nm. This region is characterized by the presence of an absorption maximum at 554–556 nm, characteristic of Rhodamine B. The change in the intensity of the maximum made it possible to assess the degree of degradation of Rhodamine B by comparing the change in the intensity value over time with the initial value.
3 Results and discussion
Figures 1, 2 and 3 show the results of changes in the morphology of WO3 microparticles as a result of irradiation, obtained using SEM and TEM. The detailed description of structural and morphological changes in microparticles under irradiation is presented in [54].
Figures 2 and 3 show the results of the study of morphological features of the analysed microparticles before and after ionic modification. In the initial state, the analysed microparticles are cubic or rectangular particles, the average sizes of which vary from 3 to 5 microns. In a detailed analysis of the surface of microparticles, it was found that they consist of their nanoscale grains whose size does not exceed 20–25 nm. Moreover, according to TEM data, the structure of the initial microparticles is isotropic, in contrast to the irradiated microparticles, for which the surface layer has insignificant differences compared with the initial structures.
As can be seen from the data in Fig. 3, the surface layer of irradiated microparticles is a porous structure with a significant degree of roughness (more than 15–20 nm, and waviness of 19–26 nm), and an increase in the dispersion of grain sizes of the surface is observed, with an average value shifting in the diagram of the Fig. 3c to the region of large values. A change in the morphology of the surface layer indicates that during irradiation the released energy from the incident particles led to a partial degradation of the surface layer and its fragmentation, while it can be seen that the main inner part of the microparticles remains unchanged, which indicates that the irradiation changes only the surface layer. At the same time, the change in grain sizes, as well as the formation of a porous layer as a result of irradiation, can have a significant effect on the change in structural and optical characteristics, which play an important role in catalytic properties.
Figure 4 shows the dynamics of changes in the structural parameters of the studied WO3 microparticles before and after irradiation, obtained by analyzing X-ray diffraction patterns. The lattice parameters were determined by approximating the diffraction lines, followed by subtracting Cu-kλ2 and comparing the positions of the diffraction lines with the reference values for the WO3 phase PDF-01-073-6498. The parameters were refined using the main diffraction maxima characteristic of each crystal lattice parameter. The density of the microparticles was determined by X-ray method using the formula (1):
where V0 is the volume of the unit cell, Z is the number of atoms in the crystal cell, A is the atomic weight of the atoms. The crystallite size was determined using the Williamson–Hall technique by refining the shape of the diffraction lines and their distortion. In the case of irradiated samples, where distortions and deformations of the structure contribute mainly to the shape change of the diffraction lines, the use of this technique gives a more accurate result than the standard crystallite sizing technique using the Scherrer equation. The specific surface area was determined by the Brunauer–Emmett–Teller adsorption method. Integral porosity was determined as the difference between the densities of the test sample and the reference density for this sample according to the PDF2 database. Table 1 shows the changes in the crystallographic parameters of the microparticles under study before and after irradiation.
As can be seen from the data presented, irradiation leads to a distortion of the crystal lattice parameters due to the occurrence of defects during irradiation and their subsequent migration, which leads to crushing of crystallites and an increase in porosity. Thus, the irradiation effect is associated not only with a change in the surface morphology and the formation of porous inclusions and an increase in roughness, but also with a change in the crystallographic characteristics leading to distortion of the structure and the appearance of defective regions, as evidenced by a change in the shape of the main diffraction lines and a decrease in intensity. The deformation of the crystalline structure, as well as a decrease in the size of crystallites, indicates a change in the dislocation density of defects, which increases due to grain fragmentation, as well as their reorientation and the appearance of new grain boundaries.
Using the method of approximating diffraction lines by a set of pseudo-Voigt functions, the degree of perfection of the crystal structure of the studied microparticles before and after ionic modification was determined, the changes in which are presented in Table 1. For the initial microparticles, the degree of crystallinity was 93.3%, which indicates a high degree of structural ordering and low concentration of defects. In the case of irradiated microparticles, a slight decrease in the value of the degree of crystallinity to 92.1% was observed, which indicates a change in the concentration of defects in the structure, which is confirmed by the data of transmission and scanning electron microscopy.
Figure 5 shows the UV–Vis measurement of the transmission spectra of the examined microparticles before and after irradiation, as well as Tauc's plot, on the basis of which the value of the band gap (Eg) was calculated. As can be seen from the data presented, the irradiation results in a slight decrease in the transmittance in the region of 500–1000 nm, as well as a shift in the edge of the fundamental absorption, which leads to a change in the band gap from 2.56 eV for the initial to 2.52 eV for the irradiated samples. These changes are associated primarily with the formation of additional defects and porous inclusions in the near-surface layer, which lead to the appearance of additional absorbing centers. In this case, a change in the electronic structure of the near-surface layer due to the processes of defect formation and the redistribution of electrons as a result of irradiation leads to a change in the band gap. In the case of low-energy ions, the energy losses in the electron shells and nuclei are of the same order of magnitude, and at high radiation doses, the probability of the effect of overlapping defect regions is approximately 100–1000. Under such conditions, the appearance of defect regions, as well as changes in the electronic subsystem of microparticles, is inevitable, which affects both the optical transmission and the shift of the fundamental absorption edge.
To study the applicability of ionic modification of microparticles in order to increase the photocatalytic activity, as well as comparative analysis, two objects of study were selected: WO3 microparticles in the initial state and irradiated with helium ions with a dose of 1015 ions/cm2.
Figure 6 shows the structural formula of Rhodamine B, as well as a schematic representation of the photocatalytic reaction. The choice of the photocatalytic decomposition reaction of Rhodamine B is due to its widespread use in various industries, as well as its solubility in aqueous media, ethanol and methanol. At the same time, the toxicity of Rhodamine B and its solubility makes it one of the most dangerous environmental pollutants. According to the structural formula, Rhodamine B has a complex molecular structure based on aromatic rings and functional groups –COOH, (C2H5)2N, N+(C2H5)2Cl−. According to the photocatalytic reaction scheme, the interaction of Rhodamine B with the photocatalyst occurs due to the presence of a positive charge on Rhodamine B and the negatively charged surface of the microparticles. Moreover, according to the literature [41,42,43,44,45], the larger the specific surface area and the more complex the morphology, the better the interaction between Rhodamine B and the surface.
When irradiated with UV radiation, •OH radicals are formed as a result of absorption of H2O or –OH microparticles on the surface of microparticles. The main mechanisms with the formation of radicals and subsequent photodegradation are presented below Eqs. (2–4):
The formation of radicals:
Mineralization of organic chemicals:
As a result of photocatalytic degradation processes, aromatic rings decompose upon interaction with •OH radicals and subsequent decarboxylation and hydroxylation processes. The final reaction product is harmless components and discoloration of the solutions.
The efficiency of the photocatalytic decomposition reaction of Rhodamine B by WO3 microparticles in the initial and modified state was determined by measuring the UV spectra in the region of 400–700 nm and evaluating the change in the absorption maximum at 554–556 nm typical of Rhodamine B. The curves of the photocatalytic decomposition reaction were constructed based on concentration analysis changes in the absorption maximum using the formula (5):
where C0 and Ci are the absorption density before and after the reaction. Figure 7 presents the results of changes in the UV absorption spectra of Rhodamine B depending on the types of catalysts, as well as the dynamics of changes in the photocatalytic degradation curve of Rhodamine B. As an example, the results of changes in the UV spectra of Rhodamine B without adding a catalyst are shown, which showed the absence of any significant changes at the maximum intensity at 554–556 nm. For the initial microparticles, the decrease in the intensity of the maximum absorption occurs in stages and after 300 min of testing does not reach the minimum value, while for the modified microparticles, the discoloration of the solution is observed after 210 min of testing. The mechanism of the photocatalytic reaction is primarily associated with the formation of free electrons and radicals when exposed to UV radiation. In this case, the value of the band gap plays a very important role, since it is it that determines the rate of formation of free electrons due to their release from electron traps. In the case of irradiated samples, for which a decrease in the value of the band gap was observed, as well as a shift of the fundamental absorption edge, which indicates a change in the electron density, the rate of photocatalytic decomposition proceeds much faster.
According to the data obtained, in the case of the initial WO3 microparticles, the degree of decomposition of Rhodamine B within 300 min reaches no more than 80%, while for modified microparticles, the complete decomposition of Rhodamine B is already observed after 210 min of testing. In this case, the rate constant of the photocatalytic reaction for modified microparticles is 2.3–2.5 times higher than for the initial microparticles. Such a difference in the reaction rate constants and the degree of photodegradation is due to a change in the morphological properties of the surface layer. When irradiated with large doses, the formation of cascade defects is observed, which can lead not only to the displacement of atoms from lattice sites and equilibrium positions, but also to change the electron density, as well as to break crystalline and chemical bonds. As a result, a large number of structural distortions and defects are observed in the near-surface layer, capable of emitting more electrons under the influence of UV radiation, which will accelerate the photocatalytic decomposition and decomposition of Rhodamine B.
Assessment of the dye mineralization and its decomposition into harmless components was carried out by measuring the concentration of Total organic carbon (TOC) in solution depending on the time of the photocatalytic reaction. The dynamics of change is presented in Fig. 8.
As can be seen from the data presented, the degree of mineralization for the initial WO3 microparticles after 300 min of the photocatalytic reaction was not more than 22%, while the degree of degradation of Rhodamine B during the same time was not more than 80%. In the case of modified microparticles, the degree of mineralization was 47% with complete decomposition and discoloration of the solution as a result of the photocatalytic reaction. According to the obtained data on changes in the TOC concentration, the complete mineralization of Rhodamine B by both the initial and modified WO3 microparticles is not possible, and the bleaching process may be due to the deethylation of Rhodamine B and the inactivation of chromospheric groups in the dye structure. However, in the case of modified microparticles, the degree of mineralization is more than two times higher than for the original microparticles, which indicates the promise of modification in order to increase not only the photodegradation, but also the mineralization of Rhodamine B.
Figure 9 shows the efficiency diagram for removing chemical oxygen demand (COD) from model media obtained by treating media before and after photocatalytic degradation reactions using the standard dichromate method. In order to increase the efficiency of light transmission through the solution, the concentration of COD was reduced to 630 mg/L. The photodegradation efficiency was estimated according to the formula (6):
where CODinitial and CODfinal are COD concentrations in the initial state and after the photocatalytic reaction.
As can be seen from the presented data for the initial microparticles, the COD removal efficiency is about 42–43%, while for irradiated samples this value is more than 65%. The difference in the value of efficiency is associated with a change in the adsorption capacity of microparticles, as well as the specific surface area.
Assessment of the conservation of the efficiency of the degree of photocatalytic decomposition and mineralization of WO3 by microparticles in the initial and modified state was carried out by successive ten test cycles. Figure 10 presents diagrams of changes in these characteristics over ten cycles.
As can be seen from the data presented, an increase in the number of cycles for the initial WO3 microparticles leads to a decrease in the degree of degradation and mineralization after seven cycles of consecutive tests. At the same time, for WO3-modified microparticles, the decomposition efficiency of Rhodamine B is maintained for ten cycles with a slight decrease (no more than 3–5%) after eight test cycles. However, in contrast to the decomposition efficiency, the degradation of the degree of mineralization during the test cycles is more intense and after ten cycles is reduced by 25–30%.
This behavior of the photocatalytic properties indicates a high degree of resistance to lengthy tests, and a decrease in the properties for the initial microparticles may be due to a decrease in strength properties and partial degradation of the surface layer with subsequent crack initiation (see Fig. 11). For modified microparticles, degradation of the surface layer after ten test cycles is practically not observed, which indicates the stability and preservation of the strength characteristics of the modified microparticles. As can be seen from the presented data on the change in the degree of crystallinity of the studied microparticles depending on the number of test cycles (see Fig. 11c), it can be seen that the decrease in the productivity and efficiency of decomposition is due to the formation of amorphous inclusions, as well as partial degradation of the structure. For the initial microparticles, the decrease in crystallinity after ten test cycles was 17.7%, while for the modified microparticles this decrease does not exceed 5%. Thus, it can be concluded that ionic modification leads not only to an increase in the productivity of photocatalytic decomposition, but also to an increase in resistance to degradation during the long-term operation of microparticles.
Figure 12 shows comparative data on the degradation efficiency of Rhodamine B in the case of different modified catalysts based on WO3. The results of works [45, 55] which consider the effect of doping, as well as various composite structures on the effectiveness of photocatalysis, were selected as comparative data.
As can be seen from the presented diagram, the ionic modification of WO3 microparticles leads to a significant increase in the degree of degradation of Rhodamine B, and is comparable in magnitude, and in most cases even exceeds the doping efficiency. In this case, ionic modification can significantly increase the resistance and durability of microparticles to degradation during long-term use, which also indicates the prospects of using this modification method.
In general, it can be concluded that the obtained results of photocatalytic activity have good agreement with the literary data of photocatalytic properties of nano and microcomposites based on WO3, as well as its various modifications [55, 56]. At the same time, ionizing radiation is one of the promising methods for modifying the near-surface layer, as well as the electronic subsystem of micro- and nano-particles, along with such methods as doping with rare-earth elements or spinel structures [44, 45, 47, 48, 57,58,59,60,61], changing the specific surface area as a result of reducing particle sizes to nanoscale [62,63,64], etc. At the same time, unlike doping with rare earth elements or carbon nanostructures, ionic modification allows modifying nano- and microparticles, both commercial type and obtained in laboratory conditions. Modification can be carried out both to change the specific surface area by recrystallization and crushing processes of grains in the near-surface layer, and in order to change the optical and electronic properties of nano- and microparticles. In this case, the modification of the optical and electronic properties can be carried out at a given depth by varying the energy of incident ions, as well as the radiation density. In turn, the scaling of the irradiation technology allows the modification of composite structures on a semi-industrial scale. Also, the proposed technique for modifying catalysts with ionizing radiation can be applied to other types of catalysts based on both thin films and nano- and microparticles.
4 Conclusions
The paper presents the results of the use of low-energy irradiation with helium ions to increase the photocatalytic activity of WO3 microparticles. Using the methods of scanning and transmission electron microscopy, X-ray diffraction analysis, the dynamics of changes in the morphology and crystallographic parameters of microparticles exposed to irradiation has been established. It was found that irradiation with low-energy helium ions leads to a decrease in the size of crystallites, as well as an increase in the porosity of microparticles by more than 3.5 times. It was found that structural and morphological changes as a result of irradiation lead to an increase in specific surface area by more than ten times.
During experiments with photocatalytic decomposition reactions of Rhodamine B, it was found that the use of irradiation with helium ions leads to an increase not only in the rate of photocatalytic reactions by 2.5 times, but also in the degree of mineralization from 22 to 47%, as well as the efficiency of removing COD from aqueous solutions. Cyclic tests showed the resistance of modified microparticles to degradation, as well as the preservation of decomposition efficiency, while reducing the degree of mineralization after ten test cycles by 30%. At the same time temporary decrease of degree of mineralization for modified microparticles exceeds the degree of mineralization efficiency for initial microparticles, which indicates prospect of application of irradiated microparticles for long cycles of photocatalytic decomposition of organic dyes.
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Acknowledgements
The authors thank the Institute of Nuclear Physics of the Ministry of Energy and Science of Kazakhstan for the possibility of conducting experiments on their analytical base.
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This study was funded by the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. BR05235921).
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Conceptualization, MVZ, AA, and ALK; methodology, AA, ALK; formal analysis, MVZ; investigation, AA, ALK and MVZ; resources, MVZ; writing—original draft preparation, review and editing, MVZ and ALK; visualization, MVZ; supervision, MVZ.
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Kozlovskiy, A.L., Alina, A. & Zdorovets, M.V. Study of the effect of ion irradiation on increasing the photocatalytic activity of WO3 microparticles. J Mater Sci: Mater Electron 32, 3863–3877 (2021). https://doi.org/10.1007/s10854-020-05130-8
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DOI: https://doi.org/10.1007/s10854-020-05130-8