The Ultrahigh Adsorption Capacity and Excellent Photocatalytic Degradation Activity of Mesoporous CuO with Novel Architecture

In this paper, mesoporous CuO with a novel architecture was synthesized through a conventional hydrothermal approach followed by a facile sintering procedure. HR-TEM analysis found that mesoporous CuO with an interconnected pore structure has exposed high-energy crystal planes of (002) and (200). Theoretical calculations indicated that the high-energy crystal planes have superior adsorption capacity for H+ ions, which is critical for the excellent adsorption and remarkable photocatalytic activity of the anionic dye. The adsorption capacity of CuO to methyl orange (MO) at 0.4 g/L was approximately 30% under adsorption equilibrium conditions. We propose a state-changing mechanism to analyze the synergy and mutual restraint relation among the catalyst CuO, H+ ions, dye and H2O2. According to this mechanism, the degradation rate of MO can be elevated 3.5 times only by regulating the MO ratio in three states.


Introduction
Efficient and thorough treatment of organic contaminants in wastewater has been a great challenge in the field of environmental protection. For removing dye contaminants in wastewater, one of the green and sustainable technologies is photocatalysis driven by solar energy, in which the photocatalytic reactions occur on the surface of an illuminated semiconductor where photo-generated electrons and holes are formed. Generally, titanium dioxide (TiO 2 ) [1][2][3][4][5] and zinc oxide (ZnO) [6][7][8][9][10] have been undoubtedly demonstrated to be the popular photocatalysts for the oxidative decomposition of many organic compounds under UV irradiation; however, unfortunately, their wide band gaps (~3.2 eV) [10,11] limit further applications in the visible regions (λ > 400 nm).
Cupric oxide (CuO) is a narrow band gap semiconductor (1.2-1.7 eV) that can be considered a promising photocatalyst directly excited by visible light [12][13][14][15]. However, such a narrow band gap easily leads to a rapid recombination of photogenerated electrons and holes, hence resulting in short-lived carriers unless oxidants that can be reduced to other radicals by combining photogenerated electrons are added. Therefore, CuO is employed for the photocatalytic decomposition of organic pollutants, usually in the presence of H 2 O 2 [16][17][18], which is the simplest oxidant that can easily generate hydroxyl radicals (·OH) on self-decomposition over CuO catalysts. Generally, it is commonly agreed that the degradation of organic dyes takes place primarily on and near the catalyst surface [19,20], so we believe that larger surface areas mean better catalytic performance. Based on this opinion, many researchers are focused on developing novel structures and improving the surface areas of the catalysts to further enhance their performance [21][22][23]. In fact, the advanced catalytic activities can mainly result not only from the larger surface areas but also from the more active surface sites of the catalysts [24,25].
In this work, we use a thermodecomposition method to fabricate mesoporous CuO architecture similar to our previous work [26], which is a promising approach to produce mesoporous oxides at a relatively low cost. The process includes a traditional hydrothermal method and a facile sintering procedure. Thin blocks of copper nitrate hydroxide (Cu 2 (NO 3 )(OH) 3 ) can be prepared via hydrothermal method. The subsequent sintering procedure would yield an interesting result. This process is similar to that of the formation of pores in bread during the baking procedure. The sintering processtakes advantage of the formation and escape of gases during thermal decomposition, forcing the uniform rearrangement of CuO nanocrystals Finally, a hierarchical copper oxide with interconnected pores can be obtained, which demonstrates excellent adsorption capacity and high photocatalystic activity for methyl orange (MO).
Herein, it is more noteworthy that a peculiar dye release phenomenon was observed after the adsorption-desorption equilibrium of MO that has not attracted the attention of other researchers thus far. The simulation results show that the exposed polar surface of the CuO crystal has a large surface energy and excellent adsorption ability for H + ions. We proposed a state-changing mechanism and analyzed the adsorption, desorption and photocatalytic degradation of MO on the CuO surface. The change in the MO state (from State I to State II) caused by the temporary consumption of H + ions is a key factor leading to the noteworthy release of MO molecules from the CuO surface. Based on this mechanism, the degradation rate can be increased 3.5 times by adjusting the proportion of MO in the three states.

Synthesis of Mesoporous CuO
Mesoporous CuO architecture was synthesized using a conventional hydrothermal approach followed by a facile sintering procedure. First, Cu 2 (NO 3 )(OH) 3 with perfect crystallinity was obtained via the hydrothermal method. In a typical procedure, 1.208 g Cu(NO 3 ) 2 ·3H 2 O and 0.300 g CO(NH 2 ) 2 were dissolved in 50 ml of distilled water. After stirring for 10 min, the whole homogeneous mixture was then transferred into a 100 mL Teflon-lined stainless steel autoclave and incubated at 120 • C for 5 hours. After the hydrothermal reaction, the as-formed precipitate was centrifuged, washed with deionized water and dried at 70 • C to obtain green powders as an initial product of Cu 2 (NO 3 )(OH) 3 . Second, initial products of Cu 2 (NO 3 )(OH) 3 were further calcined in air at 400 • C for 1 hour to obtain mesoporous CuO.

Characterization
The crystalline structures and morphologies of the as-prepared samples were characterized by using an X-ray diffractometer (XRD, Bruker D8 Advance, Germany) with Cu K α rays (λ = 1.5406 Å) and scanning electron microscopy (SEM, HITACH SU8010, Japan). High-resolution images and electron diffraction patterns of the samples were obtained via transmission electron microscopy (TEM, JEM-2100HR, Japan). The surface area of the mesoporous CuO was measured using Brunauer-Emmett-Teller (BET, TristarII3020, America).
The optical properties of CuO and the concentration of MO aqueous solution were analyzed using a UV-Vis spectrophotometer (UV2600, Japan). The adsorption of MO molecules on the CuO surface was detected using a Fourier transform infrared spectrophotometer (FT-IR, Nicolet 6700, America).

Computational Details
All calculations were based on density functional theory (DFT), using the Vienna ab initio Simulation Package (VASP) code [27]. The exchange and correlation terms were described using the general gradient approximation (GGA) in the scheme of Perdew-Burke-Ernzerhof (PBE) [28]. Core electrons were described by pseudopotentials generated from the projector augmented wave method [29], and valence electrons were expanded in a plane-wave basis set with an energy cutoff of 490 eV. The Monkhorst-Pack k-points grid [30] of 8×10×8 was used for structure relaxation. Both the positions of all ions and the unit cell parameters were relaxed to minimize the atomic forces and the total energy with a force convergence < 0.01 eV/Å. The calculated equilibrium lattice constants, a = 4.63 Å, b = 3.45 Å, c = 5.11 Å, α = γ= 90 • , and β = 99.04 • , compared well with the experimental values. The slab model was used to simulate the surfaces of CuO, where the slabs were separated by a vacuum region of 15 Å in the z direction. The adsorption energy was defined as: E ad = E all − E surface − E H , where E all and E surface are the energies for adsorption configurations and surfaces, respectively, and E H is the energy of an isolated H atom.

Adsorption Property
To evaluate the adsorption property of mesoporous CuO, a series of experiments were performed in MO solutions with different pH values. After adding CuO powder (10 mg) to MO solution (25 ml, 10 mg/L) and fully adsorbing in the dark, each adsorption spectra of MO solution was measured.
The adsorption capacity (%) was calculated according to the following formula where A 0 and A ads are the initial and saturated absorbances of the MO solution at 464 nm, respectively. In particular, for the initial acidic MO solution (pH < 3.1), the position of the maximum absorption peak appears at 505 nm. However, when CuO was added, the maximum absorption peak of the adsorbed saturated MO solution would return to 464 nm due to the strong adsorption ability of CuO on H+ ions. Therefore, in this paper, the absorbance of the neutral solution was chosen as A 0 , which had the same concentration with the initial acidic MO solution.

Photocatalytic Activity
The photocatalytic activity of mesoporous CuO was evaluated through the degradation of MO under a tungsten lamp. In a typical experiment, as-prepared CuO samples (40 mg) were divided into two equal parts, and each sample was dispersed in MO solution (10 mg/L, 50 ml) with initial pH values of 2.5 and 7.0. Before photocatalysis, 1 mL H 2 O 2 (5%) was added to the MO solution, and then the mixture was stirred by magnetic stirring immediately and exposed to a 200 W tungsten lamp with a light intensity of 10 mW/cm 2 at the surface of the dye solution. At a given time interval, approximately 4 ml of the mixture was removed and immediately centrifuged. The corresponding absorption spectra were determined using UV-visible absorption spectroscopy.
The absorbance value of 464 nm was selected to calculate the degradation efficiency and removal rate of MO in the solution. The removal rate of MO was calculated as follows: removal rate (%) = (C 0 − C t )/C 0 × 100%, where C 0 and C t represent the concentration of MO at the reaction carried out at 0 and t times, respectively. Figure 1 shows the XRD patterns of the as-prepared samples. It can be seen from Figure 1a that the sample obtained from the first procedure has fine crystallinity, and all diffraction peaks were good with the monoclinic single crystal Cu 2 (NO 3 )(OH) 3 (PDF# 54-Nanomaterials 2023, 13, 142 4 of 16 0747) index. In Figure 1b, the calcined sample has sharp characteristic peaks at 35.6 • , 38.7 • and 38.9 • , which are indexed to the (002), (111) and (200) lattice planes of monoclinic CuO, respectively. No characteristic peaks of Cu 2 (NO 3 )(OH) 3 are observed, indicating complete conversion to CuO after the secondary calcination procedure as the following reaction. Figure 1a that the sample obtained from the first procedure has fine crystallinity, and diffraction peaks were good with the monoclinic single crystal Cu2(NO3)(OH)3 (PDF# 0747) index. In Figure 1b, the calcined sample has sharp characteristic peaks at 35.6°, 38 and 38.9°, which are indexed to the (002), (111) and (200) lattice planes of monoclinic Cu respectively. No characteristic peaks of Cu2(NO3)(OH)3 are observed, indicating compl conversion to CuO after the secondary calcination procedure as the following reaction ( )( ) In addition, since it is known from the reaction that heating promotes the decomp sition of Cu2(NO3)(OH)3 into NO2, O2 and H2O(g) gasses, we can infer that the follow sintering procedure yields interesting results. Because of the formation and the escape these gasses, which act as templates, the crystalline particles of CuO may be forced rearrange consistently, and many pores will be left in the internal crystal. This inferen can be confirmed by the following SEM images and TEM images shown in Figure 2. O viously, the surface is very smooth as well as the interior (marked as red circle in Figu 2a) for Cu2(NO3)(OH)3 samples, while a large number of pores are present on the surf of the calcined samples ( Figure 2b). After calcination, the morphology of the sample mained largely unchanged except for the formation of pores, which were not only on surface but also on the inside of the CuO sample ( Figure 2c), with an average pore size approximately 20-30 nm. Figure 2d shows the N2 adsorption-desorption isotherm a the BJH pore size distribution plots (inset) of porous CuO samples, with a BET surf area value of 15.28 m 2 /g and a BJH desorption average pore width of 25.58 nm. The s of 25.58 nm indicates that the material we prepared belongs to the mesoporous structu The high specific surface area of 15.28 m 2 /g may lead to more surface active sites, wh facilitate the adsorption of dye molecules in solution. Therefore, the porous nanostructu In addition, since it is known from the reaction that heating promotes the decomposition of Cu 2 (NO 3 )(OH) 3 into NO 2 , O 2 and H 2 O(g) gasses, we can infer that the following sintering procedure yields interesting results. Because of the formation and the escape of these gasses, which act as templates, the crystalline particles of CuO may be forced to rearrange consistently, and many pores will be left in the internal crystal. This inference can be confirmed by the following SEM images and TEM images shown in Figure 2. Obviously, the surface is very smooth as well as the interior (marked as red circle in Figure 2a) for Cu 2 (NO 3 )(OH) 3 samples, while a large number of pores are present on the surface of the calcined samples ( Figure 2b). After calcination, the morphology of the sample remained largely unchanged except for the formation of pores, which were not only on the surface but also on the inside of the CuO sample ( Figure 2c), with an average pore size of approximately 20-30 nm. Figure 2d shows the N2 adsorption-desorption isotherm and the BJH pore size distribution plots (inset) of porous CuO samples, with a BET surface area value of 15.28 m 2 /g and a BJH desorption average pore width of 25.58 nm. The size of 25.58 nm indicates that the material we prepared belongs to the mesoporous structure. The high specific surface area of 15.28 m 2 /g may lead to more surface active sites, which facilitate the adsorption of dye molecules in solution. Therefore, the porous nanostructure of the catalyst may provide more accessible surface areas to increase the active reaction sites, which facilitate their application in catalysts.

The Adsorption Capability of Mesoporous CuO
According to the literature [31][32][33][34], the acidity of the system has a significant effect on the degradation of MO. In other words, H + ions can alter the surface properties of catalysts or participate in degradation reactions [35]. To better understand the role of H + ions during the catalytic process, the adsorption of H + ions on the surface of CuO was studied using first-principles calculations. The calculated results are summarized in Table 1, and the typical calculation models are shown in Figure 3.   Figure 2f, the orientation of all crystal particles in the sintered sample is similar, indicating that the arrangement of crystal particles during sintering is consistent. The SAED patterns (insert in Figure 2f) are very consistent with the results in Figure 2f. The HR-TEM image in Figure 2h shows the CuO crystalline lattice fringes with interplanar spacings of  Figure 2h, which is the same as the theoretical value of the angle between (002) and (200) (81.2 • ), indicating that the as-prepared CuO samples expose (002) and (200) high-energy crystal surfaces. This preferred orientation is of particular interest, as high-energy facets may possess superior adsorption properties.

The Adsorption Capability of Mesoporous CuO
According to the literature [31][32][33][34], the acidity of the system has a significant effect on the degradation of MO. In other words, H + ions can alter the surface properties of catalysts or participate in degradation reactions [35]. To better understand the role of H + ions during the catalytic process, the adsorption of H + ions on the surface of CuO was studied using first-principles calculations. The calculated results are summarized in Table 1, and the typical calculation models are shown in Figure 3.   It is evident that the exposed polar surfaces of CuO crystals, such as (200) and (002), have high surface energy and superior adsorption capacity to H + ions. We know that MO is a polar molecule that exists in solution in the form of anionic salts. It is generally accepted that the catalytic process is mainly related to the adsorption and desorption of MO molecules on the surface of the catalyst [36,37]. Thus, a high adsorption capacity of MO on the catalyst surface is conducive to improving the efficiency of photocatalytic degradation. Therefore, it can be inferred that the concentration of H + ions on the surface plays an important role in the adsorption of MO and directly determines the adsorption capacity of MO.
To investigate the effect of initial pH on MO adsorption, a series of experiments were performed under the same conditions (50 ml solution containing 20 mg CuO and 10 mg/L MO), in addition to pH value differences (pH = 2-11). The point of zero charge (pHpzc) on the surface of CuO is reported [38][39][40] at 7.4-7.8; that is, when the pH value < pHpzc, the It is evident that the exposed polar surfaces of CuO crystals, such as (200) and (002), have high surface energy and superior adsorption capacity to H + ions. We know that MO is a polar molecule that exists in solution in the form of anionic salts. It is generally accepted that the catalytic process is mainly related to the adsorption and desorption of MO molecules on the surface of the catalyst [36,37]. Thus, a high adsorption capacity of MO on the catalyst surface is conducive to improving the efficiency of photocatalytic degradation. Therefore, it can be inferred that the concentration of H + ions on the surface plays an important role in the adsorption of MO and directly determines the adsorption capacity of MO.
To investigate the effect of initial pH on MO adsorption, a series of experiments were performed under the same conditions (50 ml solution containing 20 mg CuO and 10 mg/L MO), in addition to pH value differences (pH = 2-11). The point of zero charge (pH pzc ) on the surface of CuO is reported [38][39][40] at 7.4-7.8; that is, when the pH value < pH pzc , the adsorption point on the surface of CuO is positively charged. This will facilitate the electrostatic adsorption of anionic molecules on the surface of CuO. As shown in Figure 4, the adsorption of MO on the surface of CuO strongly depended on the pH values, and clearly, the acidic solution is a benefit for its adsorption. The adsorption capacity (%) reached a maximum of 29.46% at pH = 2.5 while there were much lower values in basic (pH = 7.0, 2.83%) or alkaline solutions. XRD, TEM and theoretical analysis confirm that the crystal planes (200) and crystal planes (002) with large adsorption energy H + ions are exposed, causing the adsorption of H + on the mesoporous copper oxide surface. In our study, the adsorption behavior of H + ions on the CuO surfaces was also evidenced by experimental phenomena. As shown in Figure 5, the position of the maximum adsorption peaks varies with the color of the solution. It is well known that the structural change of MO can cause color changes in the solution, and the acidity of the solution is one of the major contributors (MO is mainly in the red quinine structure when pH < 3.1 and in the yellow azo structure when pH > 4.4). Clearly, once CuO powders are added to an acidic MO solution (pH = 2.5), the color of the solution changes from red to yellow, and the pH value changes from 2.5 to 5.2 correspondingly.  In our study, the adsorption behavior of H + ions on the CuO surfaces was also evidenced by experimental phenomena. As shown in Figure 5, the position of the maximum adsorption peaks varies with the color of the solution. It is well known that the structural change of MO can cause color changes in the solution, and the acidity of the solution is one of the major contributors (MO is mainly in the red quinine structure when pH < 3.1 and in the yellow azo structure when pH > 4.4). Clearly, once CuO powders are added to an acidic MO solution (pH = 2.5), the color of the solution changes from red to yellow, and the pH value changes from 2.5 to 5.2 correspondingly.  In our study, the adsorption behavior of H + ions on the CuO surfaces was also evidenced by experimental phenomena. As shown in Figure 5, the position of the maximum adsorption peaks varies with the color of the solution. It is well known that the structural change of MO can cause color changes in the solution, and the acidity of the solution is one of the major contributors (MO is mainly in the red quinine structure when pH < 3.1 and in the yellow azo structure when pH > 4.4). Clearly, once CuO powders are added to an acidic MO solution (pH = 2.5), the color of the solution changes from red to yellow, and the pH value changes from 2.5 to 5.2 correspondingly.   Based on the above results, in acidic systems, the surfaces of CuO should be positively charged due to the adsorption of a large amount of H + ions (here named CuO (H) surfaces), which further leads to the electrostatic adsorption of MO (anionic dyes) onto the CuO (H) surfaces. In alkaline conditions, there are fewer H + ions for CuO trapping and tiny amounts of MO are adsorbed on the surface of CuO. In addition, the adsorption capacity of MO increases with decreasing pH and increases dramatically under acidic conditions, as shown in Figure 4. The adsorption of MO on the surface of copper oxide is further illustrated by infrared spectroscopy (Figure S1). Notably, when the pH is below 2.5, the dissolution of CuO must be considered due to the strong acidity of the system. Based on these results, MO solution with pH = 2.5 was selected as the study group, and pH = 7.0 was selected as the comparison group.

The Roles of H + Ions and H 2 O 2
The adsorption and degradation of MO on the surface of copper oxide are analyzed in pH = 7.0 and pH = 2.5 systems. As shown in Figure 6, Figure 6A,B refer to the adsorption equilibrium processes of MO on the CuO surfaces in pH = 7.0 and pH = 2.5 systems, respectively. Figure 6C represents the process of adding 5% H 2 O 2 (1 mL) after CuO + MO solution (pH = 2.5) reaches the adsorption-desorption equilibrium.
Nanomaterials 2023, 13, x FOR PEER REVIEW 9 of 18 tiny amounts of MO are adsorbed on the surface of CuO. In addition, the adsorption capacity of MO increases with decreasing pH and increases dramatically under acidic conditions, as shown in Figure 4. The adsorption of MO on the surface of copper oxide is further illustrated by infrared spectroscopy ( Figure S1). Notably, when the pH is below 2.5, the dissolution of CuO must be considered due to the strong acidity of the system. Based on these results, MO solution with pH = 2.5 was selected as the study group, and pH = 7.0 was selected as the comparison group.

The Roles of H + Ions and H2O2
The adsorption and degradation of MO on the surface of copper oxide are analyzed in pH = 7.0 and pH = 2.5 systems. As shown in Figure 6, Figure 6A and Figure 6B refer to the adsorption equilibrium processes of MO on the CuO surfaces in pH = 7.0 and pH = 2.5 systems, respectively. Figure 6C represents the process of adding 5% H2O2 (1 mL) after CuO + MO solution (pH = 2.5) reaches the adsorption-desorption equilibrium. In Figure 6A with the solution pH = 7.0, only a small amount of H+ ions can be adsorbed by CuO, and correspondingly, a very small amount of MO molecules were adsorbed on the surface of CuO through electrostatic adsorption. Therefore, the removal rate (%) of MO in the solution of this system was only 2.83% (according to curve a), and the vast majority of MO molecules are distributed in the solution.
In Figure 6B with an initial pH = 2.5, a large number of H + ions were adsorbed on the CuO surface. Subsequently, the anionic MO molecules are well adsorbed by electrostatic attraction. After 20 min, the removal rate (%) reached a saturation value of 29.46% (according to curve b).
However, in Figure 6C, when H2O2 was added (point M in curve c) to the adsorptionsaturated system B, the removal rate (%) dropped rapidly to 14.75% within 20 min after the addition ( M N → process in curve c) and then increased gradually ( N P → process).
We propose a state-changing mechanism of MO to explain the above experimental results. In system C, three states of MO should be presented simultaneously on or near In Figure 6A with the solution pH = 7.0, only a small amount of H+ ions can be adsorbed by CuO, and correspondingly, a very small amount of MO molecules were adsorbed on the surface of CuO through electrostatic adsorption. Therefore, the removal rate (%) of MO in the solution of this system was only 2.83% (according to curve a), and the vast majority of MO molecules are distributed in the solution.
In Figure 6B with an initial pH = 2.5, a large number of H + ions were adsorbed on the CuO surface. Subsequently, the anionic MO molecules are well adsorbed by electrostatic attraction. After 20 min, the removal rate (%) reached a saturation value of 29.46% (according to curve b). However, in Figure 6C, when H 2 O 2 was added (point M in curve c) to the adsorptionsaturated system B, the removal rate (%) dropped rapidly to 14.75% within 20 min after the addition ( M → N process in curve c) and then increased gradually ( N → P process).
We propose a state-changing mechanism of MO to explain the above experimental results. In system C, three states of MO should be presented simultaneously on or near the CuO surface, and we mark them as State I, State II and State III. Here, State I represents the simple absorbed MO molecules on the CuO surfaces by electrostatic adsorption, and States II and III are the MO molecules that are changed from State I due to the addition of H 2 O 2 . The relevant reactions that occurred on the CuO surfaces during the M → N → P process can be expressed as follows: reaction 1 : where the subscript CuO represents the corresponding component adsorbed on the CuO surface. According to Equation (3), H + (CuO) ions are despoiled by H 2 O 2(CuO) molecules from the surfaces of CuO resulting in a decrease in the H + (CuO) concentration, which leads to the vast release of MO from the CuO surfaces due to the weakening of electrostatic adsorption to form desorbed MO (State II). Although H + ions are reproduced in reaction 1 in Figure 6C, the process of MO readsorption to State I is slower than that of MO release. Meanwhile, plenty of gasses can be observed as soon as H 2 O 2 is added to the system, and we believe that H 2 O 2 molecules are decomposed with the help of H + (CuO) ions and Cu 2+ /Cu + [41,42]. The catalytic decomposition of H 2 O 2(CuO) can generate ·OH (or ·OOH and ·O 2 − ) radicals [43][44][45][46] (Equation (4), Fenton-like reaction), which can further degrade MO (CuO) molecules into degradation species (DSs) (Equation (5)). Here, we define these degraded MO (CuO) molecules as State III.
In our study, as shown in curve c in Figure 6, MO (CuO) molecules are presented only as State I during the O → M process, while the addition of H 2 O 2 changes this situation, and they are presented as three kinds of states. For the M → N process of curve c, the existence states of MO are dominated mainly by State II, which leads to a declining removal rate (%), and the adsorption (State I) and release (State II) of MO (CuO) reach equilibrium again at the N point. The degradation of MO (CuO) molecules acting as State III mainly occurs in the following process ( N → P ).
Clearly, H + ions play a key role in the adsorption/desorption of MO. The emergence of MO (CuO) molecules as State I achieved with H + ions is necessary for the following degradation reaction. In essence, however, MO (CuO) molecules as State III are the targets for effective degradation in the presence of the H 2 O 2 system. Concurrently, the addition of H 2 O 2 will also consume H + (CuO) ions, causing the release of MO (CuO) , that is, resulting in the appearance of MO molecules as State II. The locations of the degradation reaction (reactions 2 and 3 in Figure 6C) are the effective adsorption positions of mesoporous CuO.

The Optical Properties of CuO
To confirm the absorption of CuO in the visible range, the obtained samples were tested using UV diffuse reflectance spectroscopy. Figure 7 shows the UV-Vis absorption spectra of mesoporous CuO. It can be seen from the results that CuO has good absorption in the visible region. The optical band gap of mesoporous copper oxide is estimated to be 1.39 eV by extrapolation from the linear part of the Tauc curve.

Photocatalytic Degradation of MO
As illuminated above, H + ions play a key role in the adsorption process. High tion of MO on the CuO surfaces is conducive to improving the efficiency of photoc degradation. Additionally, the addition time of H2O2 is important, which will ca state changing of MO molecules on the CuO surfaces.
To test the roles of H + and H2O2, we designed two series of catalytic degrada periments with two different ways of H2O2 addition. The first series is the orderly a of CuO and H2O2 in the pH = 2.5 and pH = 7.0 systems, in which H2O2 is added a saturated adsorption of MO on the CuO surfaces, and the second series is that C H2O2 are added simultaneously in the pH = 2.5 and pH = 7.0 systems under light tion. Figure 8a shows that the C/C0 decreased to a value of 0.72 in the first 20 mi only CuO was added to the pH = 2.5 system. However, it increased noticeably and with the addition of H2O2 due to State II formation. During the second 20 minutes ), the quantity of State I decreased and that of State II increased gradually, an reached an equilibrium state at the A1 point. Thereafter, the C/C0 decreased gradua ing to the main degradation of State III. In the pH = 7.0 system, C/C0 decreased during the initial 40 minutes ( 1 O B → ), which is in deep contrast with that of the p system. This is because the concentration of H + ions is too low in the pH = 7.0 which results in a very small proportion of the generation of State II. Therefore, plays a direct role in the reduction of C/C0 during the

Photocatalytic Degradation of MO
As illuminated above, H + ions play a key role in the adsorption process. High adsorption of MO on the CuO surfaces is conducive to improving the efficiency of photocatalytic degradation. Additionally, the addition time of H 2 O 2 is important, which will cause the state changing of MO molecules on the CuO surfaces.
To test the roles of H + and H 2 O 2 , we designed two series of catalytic degradation experiments with two different ways of H 2 O 2 addition. The first series is the orderly addition of CuO and H 2 O 2 in the pH = 2.5 and pH = 7.0 systems, in which H 2 O 2 is added after the saturated adsorption of MO on the CuO surfaces, and the second series is that CuO and H 2 O 2 are added simultaneously in the pH = 2.5 and pH = 7.0 systems under light irradiation. Figure 8a shows that the C/C 0 decreased to a value of 0.72 in the first 20 min when only CuO was added to the pH = 2.5 system. However, it increased noticeably and rapidly with the addition of H 2 O 2 due to State II formation. During the second 20 min ( A 01 → A 1 ), the quantity of State I decreased and that of State II increased gradually, and they reached an equilibrium state at the A 1 point. Thereafter, the C/C 0 decreased gradually owing to the main degradation of State III. In the pH = 7.0 system, C/C 0 decreased slightly during the initial 40 min ( O → B 1 ), which is in deep contrast with that of the pH = 2.5 system. This is because the concentration of H + ions is too low in the pH = 7.0 system, which results in a very small proportion of the generation of State II. Therefore, State III plays a direct role in the reduction of C/C 0 during the O → B 1 process for the pH = 7.0 system.

Photocatalytic Degradation of MO
As illuminated above, H + ions play a key role in the adsorption process. High ads tion of MO on the CuO surfaces is conducive to improving the efficiency of photocata degradation. Additionally, the addition time of H2O2 is important, which will cause state changing of MO molecules on the CuO surfaces.
To test the roles of H + and H2O2, we designed two series of catalytic degradation periments with two different ways of H2O2 addition. The first series is the orderly addi of CuO and H2O2 in the pH = 2.5 and pH = 7.0 systems, in which H2O2 is added after saturated adsorption of MO on the CuO surfaces, and the second series is that CuO H2O2 are added simultaneously in the pH = 2.5 and pH = 7.0 systems under light irra tion. Figure 8a shows that the C/C0 decreased to a value of 0.72 in the first 20 min w only CuO was added to the pH = 2.5 system. However, it increased noticeably and rap with the addition of H2O2 due to State II formation. During the second 20 minutes ( 01 A ), the quantity of State I decreased and that of State II increased gradually, and t reached an equilibrium state at the A1 point. Thereafter, the C/C0 decreased gradually ing to the main degradation of State III. In the pH = 7.0 system, C/C0 decreased slig during the initial 40 minutes ( 1 O B → ), which is in deep contrast with that of the pH = system. This is because the concentration of H + ions is too low in the pH = 7.0 syst which results in a very small proportion of the generation of State II. Therefore, Stat plays a direct role in the reduction of C/C0 during the  Figure 8b shows the results of the simultaneous addition of CuO and H 2 O 2 under light. When CuO or H 2 O 2 was added alone, the system reached adsorption saturation or indicated a low degradation efficiency. However, when CuO and H 2 O 2 are added at the same time, there is a synergistic effect between them, and finally the MO in the solution can be degraded continuously and rapidly. Since the release and readsorption process of MO molecules did not occur in Figure 8b, the C/C 0 value decreased quickly over time.
The kinetics of MO degradation in the presence of CuO and H 2 O 2 under the same ambient conditions were studied. To better analyze the difference between the two ways of adding H 2 O 2 , the results of the two experiments and their first-order kinetics in the degradation of MO with different pH values were compared, as shown in Figure 9. The kinetic expression can be presented as follows [47]: where C 0 is the initial concentration of the MO and C t is the concentration at a given reaction time.  Figure 8b shows the results of the simultaneous addition of CuO and H2O2 und light. When CuO or H2O2 was added alone, the system reached adsorption saturation indicated a low degradation efficiency. However, when CuO and H2O2 are added at t same time, there is a synergistic effect between them, and finally the MO in the soluti can be degraded continuously and rapidly. Since the release and readsorption process MO molecules did not occur in Figure 8b, the C/C0 value decreased quickly over time.
The kinetics of MO degradation in the presence of CuO and H2O2 under the sam ambient conditions were studied. To better analyze the difference between the two wa of adding H2O2, the results of the two experiments and their first-order kinetics in t degradation of MO with different pH values were compared, as shown in Figure 9. T kinetic expression can be presented as follows [47]: where C0 is the initial concentration of the MO and Ct is the concentration at a given re tion time. The apparent first-order rate constant, app k Kk = can be determined from Lan muir-Hinshelwood kinetics at low initial dye concentrations, where K is the adsorpti equilibrium constant of the dye and its intermediates and k is the reaction rate consta In the linear fitting, one thing to note is that the initial data points are not consider within the data range of the linear fitting, because their adsorption states have not reach adsorption equilibrium. The plot shows an excellent linear correlation, suggesting that t degradation reaction of MO follows first-order kinetics. The parameters of the linear ting are given in Table 2. The apparent first-order rate constant, k app = Kk can be determined from Langmuir-Hinshelwood kinetics at low initial dye concentrations, where K is the adsorption equilibrium constant of the dye and its intermediates and k is the reaction rate constant. In the linear fitting, one thing to note is that the initial data points are not considered within the data range of the linear fitting, because their adsorption states have not reached adsorption equilibrium. The plot shows an excellent linear correlation, suggesting that the degradation reaction of MO follows first-order kinetics. The parameters of the linear fitting are given in Table 2.  [48][49][50] found that the acidic system had an obvious advantage for enhancing the degradation efficiency. However, there are few detailed explanations for this synergistic effect of H 2 O 2 and CuO in the acidic system. In our study, we propose the state-changing mechanism to explain this phenomenon well.

The Positive Effect of H + Ions on the Catalytic Behavior of CuO
Clearly, the degradation efficiency in the pH = 2.5 system is significantly superior to that in the pH = 7.0 system due to the violent adsorption of H + ions on the CuO surface, which promotes the effective adsorption of MO molecules on the CuO surface by electrostatic interactions. The high effective adsorption means more active surface sites of porous CuO, which contribute to the degradation of the MO molecules. Additionally, during the A 01 → A 1 process shown in Figure 8a, the added H 2 O 2 despoils H + ions on the CuO surface, causing the release of MO molecules (State II), which results in the disturbance of the electrostatic adsorption equilibrium between MO and CuO. It takes at least 20 min to achieve a new adsorption equilibrium of MO molecules between State I and State II.

The Advantage of Simultaneous Addition of CuO and H 2 O 2
In the pH = 2.5 system, it is obvious that the two ways of adding H 2 O 2 influence the catalytic behaviors of CuO. It can be seen from Figure 8a,b that it took 180 min for the degradation efficiency to exceed 98% for orderly addition (Figure 8a) and only 120 min for simultaneous addition (Figure 8b). Similar results can be observed in the pH = 7.0 system. The apparent rate constant can also reflect the catalytic performance of materials directly. As shown in Figure 9b and Table 2, in the pH = 2.5 system, the k app value is 4.9 × 10 −2 under the simultaneous addition condition; however, it is only 3.0 × 10 −2 under the orderly addition condition. For the pH = 7.0 system, the k app values are 2.4 × 10 −2 and 1.4 × 10 −2 , respectively. All the data indicate that the simultaneous addition of H 2 O 2 and CuO into the MO acidic solution is helpful for photocatalytic degradation. The data show that the reaction rate of degradation can be improved by approximately 1.7 times only by changing the ways of adding H 2 O 2 .
Comparing the results of group (pH = 2.5)-simultaneous and group (pH = 7.0)-orderly, the k app value is elevated 3.5 times only by regulating the proportion of MO in the three states. Based on our state-changing mechanism, we believe that the different proportions of the three states of MO are the main reasons for the difference in the degradation process.
In the case of orderly addition in acidic solution, based on Equation (3), a large amount of H 2 O 2 is consumed due to the mass adsorption of MO before H 2 O 2 is added, thus decreasing the generation rate of State III with the decreased amount of H 2 O 2 . However, the simultaneous addition may effectively improve the situations of State I and State II, which can greatly improve the catalytic activity of CuO.

The Stability and Reusability of CuO
In addition to high catalytic activity, the catalyst must also have excellent stability and reusability in successive applications. Mesoporous CuO was investigated for MO degradation by performing recycling experiments under the same conditions. As shown in Figure 10, only a slight decrease in the catalytic activity is observed after 4 consecutive cycles, which illustrates the high durability of the catalyst under visible light.

The Stability and Reusability of CuO
In addition to high catalytic activity, the catalyst must also have excellent stability and reusability in successive applications. Mesoporous CuO was investigated for MO degradation by performing recycling experiments under the same conditions. As shown in Figure 10, only a slight decrease in the catalytic activity is observed after 4 consecutive cycles, which illustrates the high durability of the catalyst under visible light.

Photocatalytic Mechanism
The band structure and band potentials of the photocatalyst have a great influence on photocatalytic performance. The positions of the conduction band (ECB) and valence band (EVB) are estimated using empirical formulas [51]: where χ is the geometric mean of the absolute electronegativity of the constituent atoms. For CuO, χ is 5.812 eV. Ee (approximately 4.5 eV) is the energy of free electrons on the hydrogen scale. Eg is the energy band-gap, which was estimated to be 1.39 eV according to the UV-Vis spectra. Therefore, ECB and EVB are 0.62 and 2.01 (eV vs. NHE) for CuO, respectively.
Based on the above analysis, the band-gap structure of CuO and a photocatalytic mechanism are illustrated in Figure 11. Under light irradiation, the photogenerated electrons can be excited from the VB to the CB, and the holes with strong oxidation remain in the VB. The MO molecules adsorbed on the surface of CuO would be oxidized into CO2 and H2O by the holes in the VB. H2O2 could also be oxidized to O2 − . On the other hand, H2O2 can trap electrons in the CB and OH would be formed. In addition, the redox chain reaction between Cu 2+ /Cu + and H2O2 can produce H2O, O2 and OH. Since the CB position of CuO is 0.62 eV, which is lower than that of O2/O2 − (−0.046 eV vs. NHE), photo-generated electrons on the CB cannot reduce O2 to O2 − . Finally, OH and O2 − produced from H2O2 and photogenerated holes in the VB can degrade MO molecules into CO2 and H2O.

Photocatalytic Mechanism
The band structure and band potentials of the photocatalyst have a great influence on photocatalytic performance. The positions of the conduction band (E CB ) and valence band (E VB ) are estimated using empirical formulas [51]: where χ is the geometric mean of the absolute electronegativity of the constituent atoms. For CuO, χ is 5.812 eV. E e (approximately 4.5 eV) is the energy of free electrons on the hydrogen scale. E g is the energy band-gap, which was estimated to be 1.39 eV according to the UV-Vis spectra. Therefore, E CB and E VB are 0.62 and 2.01 (eV vs. NHE) for CuO, respectively. Based on the above analysis, the band-gap structure of CuO and a photocatalytic mechanism are illustrated in Figure 11. Under light irradiation, the photogenerated electrons can be excited from the VB to the CB, and the holes with strong oxidation remain in the VB. The MO molecules adsorbed on the surface of CuO would be oxidized into CO 2

Conclusions
In our current work, mesoporous CuO with novel architecture was obtained using a conventional hydrothermal approach followed by a facile sintering procedure. Mesoporous CuO has a strong adsorption capacity for methyl orange under acidic conditions. We

Conclusions
In our current work, mesoporous CuO with novel architecture was obtained using a conventional hydrothermal approach followed by a facile sintering procedure. Mesoporous CuO has a strong adsorption capacity for methyl orange under acidic conditions. We propose a state-changing mechanism to analyze the adsorption/desorption of MO on the CuO surface under the action of H + ions and H 2 O 2 . The reaction rate of degradation was elevated 3.5 times by regulating the proportion of MO in the three states. In addition, degradation experiments show that mesoporous CuO exhibits excellent photocatalytic activity and high durability under visible light.
Supplementary Materials: The following supporting information can be downloaded at: https://www.mdpi.com/xxx/s1, Figure S1: (a) Comparison of infrared spectra of CuO before and after MO adsorption.