Prevention of radioactive pollution: A comparative simulation study on the reduction of several important radionuclides by pyrite and magnetite

In order to ensure the long-term effective isolation of radionuclides from human beings to the environment, pyrite and magnetite, which exist widely and stably in the geological environment, can be considered to reduce the strong mobility of high-valence redox-sensitive nuclides to the low-valence nuclides with low mobility. In this work, the reducing reaction between pyrite, magnetite, and redox-sensitive radionuclides (U, Se, Tc, and Np) in the Gansu proposed-treatment plant area was under simulation by PHREEQC. Due to the considerable existence of quartz and calcite in the Gansu proposed-treatment plant area surrounding the rock of interest, the influence of the dissolved Ca²⁺ and SiO₃^2- should be taken into account. The corresponding precipitation saturation index of the complex (UO_X, Se(s), and TcO2) and species of interest was calculated, and the results suggested that pyrite can significantly reduce the high-valence radionuclides (U, Se, Tc, and Np), and their corresponding precipitation saturation indexes (SIs) were usually positive. However, magnetite, in a given condition, showed a certain reducing effect against Se and Np and a poor effect on U and Tc. It was worth noting that the aqueous pH in the system always remained constant because of the CO₂ partial pressure of the underground biosphere under this long-term time scale. These conclusions have an important guiding significance for the prevention and retention of radioactive pollution released into the biological environment.

1 Introduction

Nuclear energy, due to its advantages of durability, economy, security, and cleanliness, has been considered one of the most developed potential and valuable energy. However, with the rapid development of nuclear energy, radioactive wastes have been inevitably generated and accumulated during the operation and decommissioning of nuclear power plants. If not properly resolved, it will seriously hinder the sustainable development of nuclear energy (Wu et al., 2013). Currently, according to the radioactive degree of radioactive wastes, they could be divided into low-, medium-, and high-level radioactive wastes. Meanwhile, high-level radioactive wastes are usually disposed of in a way of deep geological disposal (Grambow, 2008). After long-term storage, the disposal facility will eventually be damaged, which will further cause the migration of the radionuclides by groundwater into the surrounding rock medium (Wang et al., 2005; Vanloon et al., 2012). However, for the long-term effective isolation of radioactive wastes, pyrite and magnetite, existing widely and stably in the geological environment, have been considered to reduce the strong mobility of high-valence redox-sensitive radionuclides (U, Se, Tc, and Np) to a low-valence state with a weak mobility state to make these low-valence radionuclides adhere to the surrounding rock medium (Bruggeman et al., 2002; Bruggeman et al., 2005; Eglizaud et al., 2006; Naveau et al., 2007). At present, numerous previous studies (Kang et al., 2014; Ma et al., 2014; Ma et al., 2020; Hu et al., 2022a; Hu et al., 2022b; Luo et al., 2022) have been carried out on the reduction experiments of U(VI) and Se(VI) by pyrite and magnetite, and the results indicated that a high-valence state of U(VI) and Se(VI) can be successfully reduced to U(Ⅳ) and Se(0) in a low-valence state, respectively, which is easily adsorbed and migrated with difficulty. Moreover, bacteria have been widely used to reduce high-valence redox-sensitive radionuclides for bioremediation (He et al., 2021; You et al., 2021). Meanwhile, natural minerals were also widely used to investigate the adsorption of key radionuclides to prevent them from being released into the biosphere (Yu et al., 2020). However, owing to the limitations such as the time scale of the actual physical experiments and the inability to quantify the number of reactants used, it is a choice of major importance to calculate the reaction under a specific system by geochemical simulation software through the relevant thermodynamic database (Metz et al., 2003; Vitorge and Capdevila, 2003; Windt et al., 2006). For instance, the reduction of U(VI), Se(VI), and Tc(VII) was under simulation in the Beishan underground water environment by the geochemical software PHREEQC (Version 2.15.02), and its calculated results showed that the concentrations of U(VI), Se(VI), and Tc(VII) could be effectively reduced by pyrite (Kang et al., 2010). Furthermore, unstable silicate and carbonate minerals in the surrounding rock medium of the Beishan underground areas will affect the concentrations of calcium ion, silicate, and carbonate in this simulated underground environment, which will further influence the species of U, Se, and Tc. Therefore, it is necessary to consider the influence of silicate and carbonate minerals.

In order to accurately describe the geochemical reactions while the radionuclides migrate from the artificial barrier into the natural barrier by groundwater between the liquid and mineral phase including adsorption, migration, and diffusion behavior, numerous relevant types of geochemical software have been developed to simulate the relevant complex reaction procedure. At present, there are various types of representative geochemical software, such as PHREEQCI (USGS, 2017; Parkhurst and Appelo, 1999), WATEQ4F (Ball and Nordstrom, 1991), MINEQL (Westall, 1976), FITEQL (Heberlin and Westall, 1996), MINTEQA2 (Allison et al., 1991), and EQ3/6 (Wolery and Jarek, 2003). In this work, the reduction of several important radionuclides (U(VI), Se(VI), Tc(VII), and Np(Ⅴ)) by pyrite and magnetite in the Gansu proposed-treatment plant area’s conditions was under simulation by PHREEQC using the THERMOCHIMIE-TDB 10a database from ANDRA/RWM of France. Also, these results will give an important reference for the related field experiments.

2 Theory and simulation conditions

2.1 Definition of the saturation index

The procedure of precipitation/dissolution of minerals in the groundwater is determined by the saturation index (SI) value, which is mathematically expressed as follows:

$\mathbf{SI}=\mathbf{l}\mathbf{g}\left(\frac{\mathbf{IAP}}{\mathbf{K}}\right).(1)$

Here, IAP is the ionic activity product and K is the solubility product constant of the mineral. Theoretically, SI = 0 means that the precipitation or dissolution reactions of minerals are in equilibria with the groundwater; SI > 0 indicates that the minerals are supersaturated and the minerals tend to produce precipitation; SI < 0 means that the mineral is unsaturated and the minerals tend to dissolve.

In PHREEQC software, the redox potential is expressed in terms of the electron potential pe value, and its quantitative relationship with the redox potential (Eh) can be expressed by Eq. 2:

$\mathbf{pe}=\left(\mathbf{F}*\frac{\mathbf{Eh}}{\mathbf{2.303}\mathbf{RT}}\right),(2)$

where F is the Faraday constant (96,484 C/mol), R is the molar gas constant (8.314j/(Kmol)), and T is the Kelvin temperature K.

2.2 Simulation conditions

In this work, in a system of the field groundwater of the proposed disposal plant environment, the reduction reactions of radionuclides (U, Tc, Se, and Np) by magnetite and pyrite were conducted. The chemical composition of the groundwater is shown in Table 1 (Xie et al., 2021). The ionic strength of this groundwater was calculated to be about 0.026 mol/L, which is consistent with the applicability of the Davis equation and the WATEQ Debye–Hückel equation in PHREEQC.

TABLE 1

TABLE 1. Chemical composition of the groundwater taken from the Gansu proposed-treatment plant area.

In order to simulate whether the reduction effect by pyrite and magnetite was significant for radionuclides at a relatively higher concentration, the initial concentration of radionuclides in this simulation was set to 1.0$\times$10⁻⁴ mol L⁻¹. If the subsurface environmental system was completely considered as a closed system, only the solid−liquid phase equilibrium needed to be considered, and the partial pressures of oxygen and carbon dioxide in the actual atmospheric pressure did not need to be considered. However, pH calculated in this groundwater (pH = 9.21) deviated from the actual measured value (pH = 7.95), and the gas phase equilibrium needed to be considered to control the pH of the solution. However, if the partial pressure of oxygen in the atmosphere was considered, the redox potential in this simulated system will always be oxidizing caused by the continuous dissolved oxygen. Generally, the partial pressure of atmospheric CO₂ is about 10^−3.5 bar, while in the biologically active geosphere, it will be higher than in the atmosphere (Merkel and Paner-Friedrich, 2005). Based on the deviation between the actual measured pH (7.95) and the simulated pH (9.21), the effect of atmospheric CO₂ partial pressure needed to be taken into account, thus inferring the CO₂ partial pressure in a gas-phase equilibrium was calculated to be 10^−3.0 bar. Moreover, the composition of the surrounding rock will also affect the migration of radionuclides in the fractures or cracks of the surrounding rock. The proposed treatment plant area in Gansu is enriched with clay minerals including granite and calcite (Xie et al., 2021). Therefore, the influence of the dissolution of quartz and calcite in this reaction process should be considered. Theoretically, SI = 0 indicates that the minerals reach an equilibrium state with the groundwater, but in practice, nucleation of secondary minerals is more difficult at room temperature and requires a supersaturating driving force. Therefore, precipitation will only occur where the saturation index (SI) is greater than zero. The results of the previous study (Dou et al., 2010) show that the saturation index of calcite precipitation in granitic areas is about 0.5. In Table 1, the silicon concentration is not observed. By virtue of the estimated saturation index of silica-bearing secondary minerals illite, kaolinite, calcium, and sodium-based montmorillonite precipitation in granitic areas and subsequently the inversed saturation index of quartz through the liquid−solid equilibrium by PHREEQC (Guo et al., 2016), the saturation index of quartz was estimated to be 0.2, thereby controlling the silicon dissolution of the groundwater environment. Conveniently, the various key numerical values used (model input) and their corresponding references are listed in Table 2.

TABLE 2

TABLE 2. Various key numerical values used (model input) in PHREEQC.

3 Results and discussion

3.1 Reduction of U by magnetite and pyrite

In the process of disposal of high-level wastes, uranium, as the main component of spent fuel, will seriously damage the ecological environment and human beings once it migrates to the biosphere with groundwater. The migration properties of uranium are strongly determined by its oxidation form, and U(VI) has strong migration properties in the geological environment, while U(IV) with poor solubility is easily precipitated. The effect of pH on species of U in groundwater was plotted by PhreePlot software (later handwork by origin software) and is shown in Figure 1.

FIGURE 1

FIGURE 1. Effect of pH on the species of U in groundwater.

Unstable calcite minerals also supplied a source of Ca (Cai et al., 2007). As shown in Figure 1, uranium dominated as Ca₂UO₂(CO₃)₃ (aq) in an aqueous solution at the pH range of 7–9. Also, with the increase in pH, the uranyl complexations existed in the form of (UO₂)₂(CO₃) (OH)₃^-, (UO₂)₃(OH)₇^-, UO₂(OH)₃^-, and UO₂(OH)₄^2-. Moreover, the actual measured value of pH in this proposed treatment plant’s groundwater was 7.95, indicating that U(VI) was the species of Ca₂UO₂(CO₃)₃ (aq) in this environment, and it mainly accounted for 88.52% of the total amount of U (Ⅵ) (8.85$\times$10⁻⁵ mol L⁻¹). This was slightly different from the results of the previous study (Merkel and Paner-Friedrich, 2005), which suggested that uranyl carbonate absolutely dominated this groundwater environment. It is because the dissolution of calcite and quartz in the surrounding rock would increase the concentration of Ca²⁺ and SiO₃^2-, which further take the complexation reactions between the uranyl carbonate and calcium or silicate ions. Also, these calculation results were consistent with the Eh-pH diagram for uranium in the groundwater of Beishan that contained unstable calcite in the previous study (Qin and Kang, 2017).

A comparative analysis of the uranium reduction reactions by pyrite and magnetite has been performed. Subsequently, the saturation index of different complex oxides of U (Ⅳ) as a function of pyrite and magnetite is shown in Figure 2. With the concentration of pyrite and magnetite being increased, the SI of the complex oxide of U(Ⅳ) shown in Figure 2A all increased in different magnitudes. When the amount of pyrite used (C_p) increased from 0.003 mmol L⁻¹ to 0.004 mmol L⁻¹, the SI of UO₂ increased from F02D 0.16 to 8.94, and the SI of UO_2.25, UO_2.34, UO_2.67, and UO₂.2H₂O all also increased in a relatively large magnitude. It was worth noting that the SI of Ca(UO₂)₂(SiO₃OH)₂.5H₂O was always greater than zero in this groundwater environment. Once the amount of pyrite used reached 0.004 mmol L⁻¹, all the complex oxides of U(Ⅳ) shown in Figure 2A tended to precipitate. According to Figure 2B, the SI of the complex oxide of U(Ⅳ) was less than zero, except for Ca(UO2)₂(SiO₃OH)₂.5H₂O (SI > 0), indicating that under the same conditions, magnetite was poor in reducing U(Ⅵ) in this environment compared to pyrite. This was also consistent with the results of the previous study (Ma et al., 2020; Luo et al., 2022) on the reduction of U(VI) by magnetite, and only at an acidic condition, U(VI) can be successfully reduced. When considering the dissolution of calcite and quartz, the concentration of calcium and silicate ions increased from 2.236 × 10⁻³ mol L⁻¹ to 3.124 × 10⁻³ mol/L and from zero to1.843 × 10⁻⁶ mol L⁻¹, respectively. This would further conduct the complexation reactions with UO₂²⁺ to produce the insoluble oxide of Ca(UO₂)₂(SiO₃OH)₂.5H₂O. Therefore, the groundwater environment in this area was favorable to slow down the migration behavior of U(Ⅵ).

FIGURE 2

FIGURE 2. Saturation index evolution of the precipitation of U(Ⅳ) as a function of pyrite (A) and magnetite (B).

As shown in Figure 3, the pH value remained constant, while the Eh value changed significantly with the amount of pyrite used, and the Eh value dropped to -258 mV at Cp = 0.004 mmol-L⁻¹. This was different from the results of the change in pH with the increase of pyrite or magnetite used in the previous work (Liger et al., 1999; Yan et al., 2022). The main reasons for this difference could be 1) the partial pressure of atmospheric carbon dioxide considered in this work consistently controlled the pH of the solution; therefore, the pH of this system remained constant; and 2) the amount of pyrite used in this work was too small to cause significant pH changes.

FIGURE 3

FIGURE 3. pH and Eh as functions of the pyrite concentration.

The change in the total U(Ⅵ) and U(+4)_tot concentrations is shown in Figure 4. With the increase in pyrite used, the total concentration of U(Ⅵ) gradually decreased, yet the concentration of U (+4)_tot increased. When the amount of pyrite used was 0.004 mmol L⁻¹, the Eh value presented a strongly reduced state. At the same time, the concentration of U_tot appeared to show a sudden drop point, from 1.0$\times$10⁻⁴ mol-L⁻¹ decreasing to 0.988$\times$ 10⁻⁴ mol L⁻¹, while the concentration of U(+4)_tot increased from 0 to 1.21$\times$10⁻⁶ mol L⁻¹

FIGURE 4

FIGURE 4. Concentration of U_tot and U (+4)_tot as functions of pyrite concentration.

3.2 Reduction of Se by magnetite and pyrite

⁷⁹Se (with a half-life of 2.95 × 10⁵ years) has been considered to be one of the key migrating fission products that are generated during the disposal of spent fuel and high-level radioactive wastes (Jiang et al., 2001; Charlet et al., 2012).⁷⁹ Se is a variable-valence nuclide sensitive to redox conditions, and its valence states are present including Se(-II), Se(-Ⅰ), Se, Se(IV), and Se(VI) in the natural environment. Its solubility and mobility are strongly determined by the valence state (Chen et al., 1999), and Se(IV) is not only highly soluble in the aqueous solution but is also difficult to be adsorbed by backfill engineering and surrounding rock materials located at the near-field geochemical environment of the repository.

As shown in Figure 5, both pyrite and magnetite can reduce Se(IV) to Se(s) precipitates. Previous studies (Breynaert et al., 2008; Kang et al., 2014) experimentally demonstrated that pyrite can reduce Se(IV) to Se(0). The redox transformations of Se(IV) in the presence of Fe-bearing minerals have been successfully demonstrated, and the specific mechanism of electron transfer reactions was also investigated (Kim et al., 2017). The present work further confirmed that the same effect can be achieved with magnetite, but the reduction performance of magnetite was not as strong as pyrite.

FIGURE 5

FIGURE 5. Saturation index evolution of the precipitation of Se(s) as a function of pyrite (A) and magnetite (B).

As shown in Figure 6, SeIV mainly existed in the species of selenate hydrogen (SeO₃^2-) in this groundwater environment, and the black circle/fork symbols represented the before and after reactions. It indicated that SeO₃²⁻was thermodynamically reduced to Se(s) during the whole reaction process. In order to further investigate the change of different valence states of Se concentration as the amount of pyrite and magnetite used increased, the following simulations were carried out and the results are shown in Figure 7.

FIGURE 6

FIGURE 6. Pourbaix diagrams produced by PhreePlot (Parkhurst and Appelo, 1999; PhreePlot Guide, 2020) using the THERMOCHIMIE-TDB 10a database from ANDRA/RWM of France (re-plotted by handwork). The following conditions have been used for groundwater and [Se]_tot = 10⁻⁴ mol L⁻¹. The upper and lower boundaries are the stable boundaries of H₂O.

FIGURE 7

FIGURE 7. Log C of Se(-Ⅱ), Se(Ⅳ), and Se(Ⅳ) as a function of the pyrite concentration.

As shown in Figure 7, Se mainly existed in the species of Se(Ⅳ), and its concentration was 9.96 × 10⁻⁵ mol L⁻¹, with a small amount of Se (Ⅵ) presented simultaneously at a concentration of 3.8 × 10⁻⁷ mol L⁻¹. When the amount of pyrite used was more than 0.003 mmol L⁻¹, the Se(IV) concentration was continuously decreased from 9.98 × 10⁻⁵ mol L⁻¹ to 9.83 × 10⁻⁵ mol L⁻¹ and Se (-II) was significantly continuously increased. The previous study (Kang et al., 2013) demonstrated the reduction mechanism of Se by pyrite, and these results suggested that the function of Fe(Ⅱ) of pyrite was to act as an electron conductor, and eventually, S₂^2- was oxidized.

As shown in Figure 8, Se(Ⅳ) could also be effectively reduced by magnetite, yet the amount of magnetite used was considerably greater than pyrite used in these specific conditions. The aforementioned results suggested that both pyrite and magnetite could reduce Se(Ⅳ); however, the magnetite reduction capacity is much lower than that of pyrite.

FIGURE 8

FIGURE 8. Log C of Se(-Ⅱ), Se(Ⅳ), and Se(Ⅳ) as a function of the magnetite concentration.

3.3 Reduction of Tc by magnetite and pyrite

⁹⁹Tc with a half-life of 2.13$\times$10⁵ years exists at +4, 6, and 7 valences and is mainly presented in a stable state for pertechnetate (TcO₄⁻) with strong mobility and solubility. Previous studies (Cui and Eriksen, 1996; Dejun et al., 2004) showed experimentally that the adsorption mechanisms of⁹⁹ Tc in Fe, Fe₂O₃, and Fe₃O₄ were different, and pyrite could effectively reduce Tc(Ⅶ) to the low solubility oxide of Tc (Ⅳ) (Huo et al., 2017; Rodriguez et al., 2021).

As shown in Figure 9, Tc mainly existed as TcO₄⁻ in the groundwater solution environment of a proposed treatment plant in Gansu. With the redox potential decreased, TcO₄⁻ was reduced to the insoluble oxide of TcO₂·H₂O with crystalline water. This suggested that this environment system was not conducive to the geological disposal of Tc. The precipitation saturation index (SI) of the related insoluble oxide of Tc(Ⅳ) and Tc(0) with the different amounts of pyrite and magnetite used is shown in Figure 10.

FIGURE 9

FIGURE 9. Eh-pH diagram of [Tc]tot = 10⁻⁴ mol L⁻¹ under the groundwater taken from the Gansu proposed-treatment plant area.

FIGURE 10

FIGURE 10. Saturation index evolution of the precipitation of TcO2(cr), Tc, and TcO2.1.63H2O(s) as a function of pyrite (A) and magnetite (B).

The SI of insoluble oxides and monomers of Tc was less than 0 in the initial solution, as shown in Figure 10B. When the magnetite used (C_m) increased above 0.1 mmol L⁻¹, the SI of TcO₂ and TcO₂.1.63H₂O was close to 0 (SI∼0) and the SI of Tc (0) was much less than 0. However, the SI of secondary minerals in groundwater to be slightly greater than 0 was common, and mineral precipitation requires nucleation-free energy to overcome nucleation resistance (Breynaert et al., 2008). Therefore, the reduction of Tc(Ⅶ) by magnetite would not necessarily lead to precipitation. Moreover, according to Figure 10A, the SI of TcO₂ and TcO₂.1.63H₂O was much greater than 0, once the amount of pyrite used reached 0.008 mmol L⁻¹. These results indicate that compared to magnetite, pyrite exhibited a stronger reduction performance. As shown in Figure 11, Tc(Ⅶ) was effectively reduced with the increase of pyrite used. When the amount of pyrite used reached 0.03 mmol L⁻¹, all of Tc(Ⅶ) were totally reduced to Tc(Ⅳ).

FIGURE 11

FIGURE 11. Concentration of Tc(Ⅶ) and Tc(Ⅳ) as a function of the pyrite concentration.

3.4 Reduction of Np by magnetite and pyrite

Although the initial concentration of ²³⁷Np (with a half-life of 2.14$\times$10⁶ years) as a long-lived radionuclide is relatively low in spent fuel, the decay product of ²⁴¹Pu and ²⁴¹ Am,²³⁷ Np, also becomes a major contributor to radiotoxicity after a long period of deep geological disposal (Kaszuba and Runde, 1999). The oxidation states of Np exist from III to VII valence; however, for geological disposal, the most important valence of Np is Np(IV) and Np(V), and compared to Np(IV), Np(V) has a stronger migration property and needs more close attention.

According to the Eh-pH diagram in Figure 12, the speciation of Np was primary NpO₂ in this simulated environment and a small amount of NpO₂.2H₂O and Np₂O₅ oxide precipitates was also presented. This observed phenomenon showed that this groundwater environment was beneficial to slow down the migration of Np.

FIGURE 12

FIGURE 12. Eh-pH diagram of [Np]tot = 10⁻⁴ mol L⁻¹ under the groundwater taken from the Gansu proposed-treatment plant area.

As shown in Figure 13, the species of Np were proportionally presented in two valence forms (Np(IV) and Np(V)). The concentrations of Np(IV) and Np(V) in the initial system conditions were 2.26 × 10⁻⁵ mol L⁻¹ and 7.74 × 10⁻⁵ mol L⁻¹, respectively. With the increase of the pyrite used, the Np(V) concentration decreased significantly and all the Np(V) was totally reduced to Np(IV), once the pyrite use reached 0.01 mmol L⁻¹. The concentrations of Np(Ⅳ) and Np(Ⅴ) as a function of magnetite concentration are shown in Figure 14. The same consequence was demonstrated that compared to magnetite, pyrite showed a strong reductive capability according to the input amount used, and both magnetite and pyrite could successfully work.

FIGURE 13

FIGURE 13. Concentration of Np(Ⅳ)and Np(Ⅴ) as a function of the pyrite concentration.

FIGURE 14

FIGURE 14. Concentration of Np(Ⅳ)and Np(Ⅴ) as a function of the magnetite concentration.

4 Conclusion

In this work, we discuss the speciation of U, Se, Tc, and Np and their corresponding precipitation saturation indexes of the precipitates produced by pyrite and magnetite in this regional environment. Taking the groundwater of a proposed reprocessing plant in Gansu as an example and discussing the comparison of the reduction performance of the two minerals, the mechanism scheme for the reduction behavior is shown in Figure 15. The results showed that pyrite can effectively reduce the high-valence state of U, Se, Tc, and Np and easily migrate to the low-valence oxide species, which are difficult to migrate and easy to precipitate. In contrast, magnetite has a certain reduction effect on Se and Np but a poor effect on U and Tc. The simulation results not only theoretically illustrate the feasibility of the reduction of radionuclides by pyrite and magnetite but also quantify their reaction depth. However, the kinetic effects and the influence of the partial pressure of oxygen in the atmosphere on the process were not considered in this work. Hence, there will be some deviations in the actual process, and these conclusions have an important guiding significance for the prevention and retention of radioactive pollution released into the biological environment.

FIGURE 15

FIGURE 15. Scheme of mechanism for reduction behavior.

Data availability statement

The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.

Author contributions

The experiments and writing of the manuscript were mainly conducted by the first author. The supporting fund and revision were all conducted by the corresponding author.

Funding

This project was financially supported by the Natural Science Foundation of Jiangxi Province, China (20202BABL203004), the Opening Project of Jiangxi Province Key Laboratory of Polymer Micro/Nano Manufacturing and Devices (PMND202101), and the Project of State Key Laboratory of Radiation Medicine and Protection, Soochow University (No. GZK1202117).

Conflict of interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

The reviewer LZ declared a shared affiliation with the authors to the handling editor at the time of review.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

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