Bismuth Vanadate-Nanostructured Graphite Electrodes for Rhodamine B Photoelectrochemical Degradation

: Electrocatalysis is a promising way to treat water contaminated by harmful organic compounds. The combination of nanoparticles supported on a conductive substrate allows degradation to occur under less energetic conditions. This work evaluated the effect of deposition of bismuth vana-date (BVO) particles on pencil-type graphite electrodes. BVO particles were obtained by ultrasonic irradiation with coprecipitation. Then, they were deposited on the surface of a graphite electrode by the impregnation method. A 2 3 -design was used to optimize electrode fabrication. Matter Dispersion Spectroscopy (SEM/EDS), X-Ray Diffraction (XRD) and Dynamic Light Scattering (DLS) were used for characterization. Electrochemical characterization was performed by electrochemical impedance spectroscopy (EIS) and cyclic voltammetry (CV). The results conﬁrmed the synthesis of BVO@C (BVO/graphite). Furthermore, BVO@C signiﬁcantly increased the electroactive surface area of the electrode, decreased the electron transfer resistance, and signiﬁcantly increased the electron transfer rate to a greater extent than the electrode without any modiﬁcation. To prove that the performance of BVO@C is better than the pure electrode, photoelectrocatalysis (PEC) and electrocatalysis (EC) were performed in a rhodamine B (RhB) solution. The results showed that in 5 min of treatment with unmodiﬁed electrode, BVO@C EC system and BVO@C PEC system, there was degradation of 31.53%, 46.09% and 58.17% respectively, reaching 95%, 98% and 99.64%, respectively, in 30 min. The reaction rate constants were calculated and to be found k = 0.10272 m − 1 , k = 0.12221 m − 1 and k= 0.15022 m − 1 for the unmodiﬁed graphite, BVO@C EC System and BVO@C PEC system, respectively. These results demonstrate that the BVO@C electrodes are efﬁcient for application in a wide range of treatments, including the treatment of organic pollutants.


Introduction
The modification of electrodes with different types of materials, especially semiconductors, has drawn attention in recent years due to their characteristic of being promissory reagents and showing low cost, fast response, portability, increased sensitivity, reduction of overpotentials and resistance to surface fouling. These devices have a wide range of applications, such as in biological research, health monitoring, water and wastewater treatment, clinical diagnosis, and monitoring [1][2][3].
In environmental treatment processes, advanced oxidative processes (AOP) are successful technologies for treating industrial and sanitary effluents. Among these processes, photoelectrocatalysis with semiconductors is prevalent due to its practical applicability in a wide range of organic compounds [4]. However, most semiconductor photocatalysts are active in UV light, whose spectral range is present in only 4% of sunlight [5]. To avoid the limitations of UV radiation, many attempts have been made to produce visible photoconductors (VLD). Doping remains a major strategy with semiconductors, sensitizing dyes [6][7][8][9][10], and the heterojunction of different semiconductors [11,12], in which the electrodeposition of metals and their oxides on the semiconductor surface is required [13].
BVO can present three main polymorphs of scheelite structure: tetragonal zirconia, tetragonal, and monoclinic phase; only the latter shows photocatalytic activity when irradiated under visible light [18]. Due to its semiconductor properties, BVO can also be applied in photoelectrocatalysis (PEC) and electrocatalysis (EC), minimizing the electron hole in the semiconductor material used as a photoelectrode [19].
The photoelectrocatalyst behavior of BVO-based materials can be significantly improved by combining this semiconductor with carbon nanoparticles. This occurs because the carbon nanoparticles store many electrons, making the PEC action of nanocomposites superior to simple semiconductors. In this case, the photogenerated electrons on semiconductors are transferred to carbon nanoparticles, promoting the formation of an abundant number of photogenerated holes accumulated on the semiconductor surface. The photocatalytic properties of m-BVO powder and m-BVO supported on carbon fiber were explored in the degradation of dye. After repeated use in 4 cycles, the photocatalytic action of m-BVO supported on carbon fibers did not show performance loss, while the cycling properties of m-BVO in powder showed poor performance [20].
Based on the theoretical synergy between BVO and carbon [21], the synthesis, optimization, characterization and use of a graphite pencil electrode modified with BVO particles (BVO@C) were evaluated in the present work. For efficiency studies of the obtained electrode, unmodified electrodes and BVO@C were used for Rhodamine B (RhB) degradation.
Semiconductor nanoparticles were obtained by the coprecipitation method and posteriorly deposited on a pencil graphite surface used as the carbon support [22]. This procedure is a low-cost method to obtain photoelectrocatalysts. Improve conditions of m-BVO nanoparticle synthesis were obtained by 2 3 factorial planning. In this study, the electrode obtained from the deposition of BVO on pencil graphite will be referred to as BVO@C.
In addition, electrochemical characterization was performed by Electrochemical Impedance Spectroscopy (EIS) and Cyclic Voltammetry (CV). It has been observed that the formation of nanocomposites from graphite/BVO causes a synergistic effect [21] that aggregates the properties of the two materials. This reduces overvoltage, improves the kinetics of the electrode redox processes, has a progressive effect on mass transfer and increases the sensitivity of the modified electrode, which demonstrates the great potential of using this semiconductor to modify electrodes that can be applied in several studies [22].
For electrode efficiency studies, unmodified electrodes and BVO@C were used for Rhodamine B (RhB) degradation. (RhB) was chosen as it is a cationic dye used for industrial purposes that can irritate the skin, eyes, and respiratory tract when ingested by humans and animals, in addition to being neurotoxic and carcinogenic [23,24].
Due to its harmful characteristics, it is of interest to develop materials capable of preventing this class of compounds in aquatic effluents, thus improving water quality for our consumption. More specific effluent treatment methods aimed at removing persistent compounds are relatively expensive, difficult to apply and time-consuming (reverse osmosis, electrodialysis, adsorption with activated carbon, for example). In addition, recent works show interest in the application of BVO in photocatalysis and electrophotocatalysis [25][26][27] since this semiconductor can be activated by visible light instead of UV light, which facilitates the work of degrading emerging contaminants and also allows activation via sunlight [28].
Therefore, the present manuscript aims to develop an electrode based on pencil graphite modified with bismuth vanadate (BVO@C), which is theoretically easy to synthesize and of low cost. This work is also aimed at applying such an electrode to the degradation of different emerging contaminants, which makes this innovative work, as there is nothing similar in the literature regarding pencil graphite electrodes modified with BVO.

Preparation of BVO Nanoparticles
BVO powders were prepared by the coprecipitation-ultrasonic irradiation method according to modified procedures previously described [29]: 5.0 mL of NH 4 VO 3 (0.43 mol L −1 ) and 5.0 mL of Bi 5 O(OH) 9 (NO 3 ) 4 (0.085 mol L −1 ) aqueous nitric acid solutions (25% v/v) were mixed and sonicated for 1 h at room temperature. For this, a solid steel ultrasonic bath (SSBu-Solidsteel, Piracicaba, Brazil) was used, which uses waves at a frequency of 40 KHz and a volume of 4 L. The yellow precipitate of amorphous BVO formed was separated by centrifuging and washed with distilled water. The final product was dried in the oven at 60 • C and calcinated at 300 • C with an increment of 5 • C/min for 24 h.

Preparation of BVO@C Electrode
For the preparation of graphite electrodes supported with BVO particles, 2.0 mm 2b graphite (Faber Castell/Cis) was used. Before the deposition of the BVO nanoparticles, the surface of the graphite was prepared in two ways for better adhesion of the particles on graphite. In the first route, all extensions of the graphite surface were evenly sanded with water sandpaper 1200 for 1 min; in the second method, the graphite was immersed in p.a. sulfuric acid. The graphite prepared from both ways was used as the support for BVO particle deposition. In our experiments, we observed that the BVO deposition was better on the sanded graphite surface, so the graphite electrodes applied in the present work were prepared by this route. Graphite sanding was chosen because in preliminary tests it showed better values in relation to BVO deposition compared to pre-treatment with nitric acid. Such results may be correlated with the elimination of the polymeric coating on the pencil surface [30], as well as the removal of impurities present on the graphite surface and the activation of charges on the graphite surface, thus facilitating the adsorption of BVO on its surface. As shown in SEM/EDS, there is the presence of Na, Al, Si, P, K, Ti and Fe in the graphite composition.
Deposits were performed from 30 mL of an aqueous suspension containing different concentrations of BVO nanoparticles (2.5; 5.0; 10.0; 15.0; 20.0, and 25.0 g L −1 ). Graphite electrodes were kept in contact with the BVO suspension in a shaker at 170 rpm for different times (24,48,72,96, and 120 h). After that, a thermal treatment at 300 • C for 24 h was performed to dry the material.

Factorial Planning
Factorial planning was elaborated to optimize the impregnation of the graphite electrodes with bismuth vanadate film. The planning studied would be the (2 3 ) + central point,  with 2 factors and 3 levels, where the factors were chosen after a preliminary study, being: BVO concentration (15,20, and 25 g·L −1 ) and graphite contact time with the vanadate solution (24, 48, 72 h), this being the optimization response of the electrode synthesis obtained through the degradation rate of RhB in 5 min. Table 1 details the conditions of the levels adopted in experiments. Once the variables had been selected, a central compound factorial planning 2 3 + central point (PC) was carried out in triplicate. In this type of planning, the variables are studied in a more significant number of levels, in this way enabling the establishment of an empirical model and the generation of a response surface, which allows the best working conditions to be determined. With this planning data, the ANOVA Table  (Analysis of Variance), the response surface, and the contour chart were constructed.

Materials Characterization
X-ray powder diffraction (XRD) data were collected on a D/max-RB diffractometer (Rigaku, Akishima-shi, Tokyo, Japan) with Cu Kα radiation (λ = 1.54056 Å) at 30 kV, 30 mA, and a 2θ scan rate of 0.3 • /min between 15 • and 80 • . The texture, surface composition, and morphology of the graphite electrode were examined by a Scanning Electronic Microscope (SEM) (SJM-6610, Jeol, Tokyo, Japan) equipped with EDS (Thermo scientific NSS Spectral Imaging, Thermo Fisher Scientific, Waltham, MA, USA). The particle size distribution and zeta-potential of the samples were measured using a Zetasizer Nano ZS analyzer (Malvern Instruments, Malvern, UK) equipped with a He-Ne laser (633 nm, 5 mW). Analyses were performed at NIBS (Non-Invasive Backscatter) and a temperature of 25 • C. The samples were sonicated for 30 min prior to the measurements to assure a homogenous suspension during the measurements. Sonication was necessary to prevent the sedimentation of those particles which were not stable in the used suspensions. Zeta potential was determined by measuring the particle velocity induced under a potential gradient applied across a capillary cell containing BVO powder (Zetasizer, Malvern Instruments Ltd., Malvern, Reino Unido, pH 5.5); the granulometry was measured by dispersing particles in water.

Voltammetric Assays
The voltammetric tests were performed using a PGSTAT ® potentiostat/galvanostat model 204 (Metrohm, Herisau, Suíça) with FRA32M module (Metrohm Autolab, Herisau, Suíçai) ntegrated into NOVA 2.1 ® software. To carry out the measurements, an electrochemical cell with a compartment of 25 mL was used, with a system of three electrodes consisting of electrodes (unmodified graphite and BVO@C) and Pt and Ag/AgCl/KCl sat wire (both acquired from Lab solutions, São Paulo, Brazil) representing the work, counter, and reference electrode, respectively.
The experimental conditions for cyclic voltammetry were as follows: sweep rate = 50 mV.s −1 and sweep range from −0.4 to 1.0 V. All experiments were performed at room temperature (25 ± 2 • C) in triplicate (n = 3), and the primary electrolyte used was 0.1 mol L −1 KCl, 0.1 mol L −1 solution (PBS) at pH 7.0. All data were analyzed and treated with Origin 8 ® software.

EIS Characterization
Electrochemical impedance spectroscopy (EIS) measurements were conducted in a solution containing 0.05 mol L −1 potassium ferrocyanide in 0.05 mol L −1 KCl over a frequency ranging from 0.1 Hz to 100 kHz at selected potentials for the analysis of the two electrodes, with the application of 0.255 V of potential (DC) and 0.01 V of amplitude (AC) performed at 25 ± 1 • C.

Photoelectrocatalytic (PEC) and Elecrocatalytic (EC) Systems
To study the photoelectrocatalytic property of the prepared BVO@C electrode, a series of degradation experiments of RhB aqueous solutions under different conditions were performed. The initial concentration of RhB used was 20 mg L −1 , with NaCl (0.05 mol L −1 ) used as the support electrolyte. This concentration was established considering previously performed studies that determined the RhB concentration ranging from 20 to 500 mg·L −1 [31]. To carry out the experiment, an energy source was used to which the anode and cathode were connected, and an electric current was applied.
Experiments were carried using a photocatalytic reactor consisting of a wooden compartment composed of six lamps and two coolers, and an electrochemical system composed of two electrodes. The total volume of the solution was 30 mL, and the BVO electrode was used as a working electrode (BVO@C and unmodified electrode), while a platinum wire electrode was used as a counter electrode. The working electrode was irradiated by lamps in the visible range (Osram 220 v and 40 W, Munique, Germany), with a color temperature of 2700 Kλ ≈ 580 nm,) the electric current was kept at 0.02 A, and the voltage kept at 5.0 V. After every 5 min, 2 mL of treatment solution was withdrawn, and changes in RhB absorbance were measured using a UV-Vis spectrophotometer Q798U model (Quimis, Diadema-SP, Brazil) with sweep from 210 to 790 nm.

Factorial Planning
In a controlled experiment, considering the variation of the BVO concentration and the contact time of the salt with the sanded graphite, the optimized graphite electrodes supported with BVO particles were obtained. The planning data were submitted for analysis of variance (ANOVA). It was verified, according to the data contained in Table 1, that the model presented a good fit within 95% of the confidence interval. In the case of the ratio between the MQFaj and the MQEP, the F test showed that these two mean squares are statistically equal with an F calc < F tab .
The model showed no lack of fit within 95% of the confidence interval (F calc = 3.03 < F tab = 19.16; 2 and 3 degrees of freedom for pure error and lack of fit, respectively). Therefore, a response surface was constructed ( Figure 1) to aid the interpretation of the results.
In evaluating the surface, two trends were noticed that seem antagonistic to maximizing the response (more significant degradation of the RhB): (i) longer reaction time (+1) and lower concentration of BVO (−1); (ii) higher concentration of BVO (+1) and shorter reaction time (−1). In both cases, about 85% of RhB degradation was achieved with a reaction time of 15 min. The second case is more interesting to explore due to the relatively low cost that would be added to the prepared photoelectrode BVO@C compared with increasing the contact time of graphite with BVO.
However, the deposition of BVO nanoparticles is not favored by a long contact time between the graphite and the aqueous suspension, since for times longer than 72 h, the graphite begins to dissolve in the reaction medium. In relation to higher values of BVO concentration, it was observed that values greater than 25 g·L −1 did not significantly increase the efficiency of RhB degradation. The optimized result for degradation was obtained using the synthesized electrode with 25 g·L −1 of BVO and 24 h of contact (experiment 9). In evaluating the surface, two trends were noticed that seem antagonistic to maximizing the response (more significant degradation of the RhB): (i) longer reaction time (+1) and lower concentration of BVO (−1); (ii) higher concentration of BVO (+1) and shorter reaction time (−1). In both cases, about 85% of RhB degradation was achieved with a reaction time of 15 min. The second case is more interesting to explore due to the relatively low cost that would be added to the prepared photoelectrode BVO@C compared with increasing the contact time of graphite with BVO.
However, the deposition of BVO nanoparticles is not favored by a long contact time between the graphite and the aqueous suspension, since for times longer than 72 h, the graphite begins to dissolve in the reaction medium. In relation to higher values of BVO concentration, it was observed that values greater than 25 g.L −1 did not significantly increase the efficiency of RhB degradation. The optimized result for degradation was obtained using the synthesized electrode with 25 g.L −1 of BVO and 24 h of contact (experiment 9).
The typical XRD patterns of monoclinic BVO [32] present peaks divided into 2θ = 18.5 • , 35 • , 46 • and 50 • [33]; however, for the peak at 18.5 • , this characteristic is better perceived by the insertion referring to the region between 2θ = 18 • and 20 • for all diffractograms represented in Figure 2. Despite the heat treatment, it is observed that there is no perceptible difference between BVO1 and BVO2 in XRD patterns, but the patterns found are quite similar to those described in the literature. A similar result was observed in work related to the fabrication of the FTO electrode doped with a monoclinic film of BVO [34], indicating that heat treatment is an important process for the crystallization of the BVO structure. The monoclinic phase is characterized by more excellent thermodynamic stability and lower band gap value, presenting a crystal structure where the Bi-O polyhedron is more distorted by the 6 s 2 pair for Bi 3+ electrons, with an angle of 90.4 • while in the tetragonal structure, it is more distorted at 90 • [34].
The extra peaks shown in BVO1 and BVO2 likely correspond to significant amounts of amorphous materials which modify the baseline of diffractograms, making them non-linear and presenting small peaks at the baseline. Sample preparation is considered the biggest source of error for the three fundamental information points of each reflection: angular position, intensity and profile from the peak [33]. In addition, the presence of additional peaks may be related to the preparation of the compound, suggesting that the synthesized material did not present very different peaks from those described in the literature; this may be related to a satisfactory purity and crystallinity for the synthesized BVO1 and BVO2 materials, a result corroborated by other studies [33,34]. The typical XRD patterns of monoclinic BVO [32] present peaks divided into 2θ = 18.5°, 35°, 46° and 50° [33]; however, for the peak at 18.5°, this characteristic is better perceived by the insertion referring to the region between 2θ = 18° and 20° for all diffractograms represented in Figure 2. Despite the heat treatment, it is observed that there is no perceptible difference between BVO1 and BVO2 in XRD patterns, but the patterns found are quite similar to those described in the literature. A similar result was observed in work related to the fabrication of the FTO electrode doped with a monoclinic film of BVO [34], indicating that heat treatment is an important process for the crystallization of the BVO structure. The monoclinic phase is characterized by more excellent thermodynamic stability and lower band gap value, presenting a crystal structure where the Bi-O polyhedron is more distorted by the 6 s 2 pair for Bi 3+ electrons, with an angle of 90.4° while in the tetragonal structure, it is more distorted at 90° [34].

Scanning Electron Microscope and Energy Dispersive Spectroscopy (SEM/EDS)
To investigate the surface characteristics of the modified graphite electrodes, SEM/EDS analyses were performed. SEM micrographs of materials before and after the deposition of BVO nanoparticles, as well as their respective EDS spectra, are shown in Figures 3 and 4. As can be seen in Figure 3a,b, the sanding step in the preparation of the electrode allows the deposition of BVO. Peaks referring to Na, Al, Si, P, K, Ti and Fe were found in the XRD analysis; this might be explained by the fact that the graphite pencil currently consists of a mixture of graphite and clay or mortar (mainly SiO 2 ) whose ratio varies with the grade of pencil (4B, 2B, 5H and etc.). In this way, peaks referring to compounds present in the clay and mortar that make up pencil lead are also shown in Figure 2. Some studies carried out show that clays and mortars have Al 2 O 3 , Fe 2 O 3 , TiO 2 , K 2 O, MgO, ZnO, SiO 2 and other compounds in their composition [35][36][37].
The surface of the graphite electrode presents some irregularities, and some particles are observed on the surface of graphite after the deposition process ( Figure 4b); in addition, it is noticed that the particles present different size. These results are supported by EDS after deposition, with the spectrum shows peaks referring to Bi, V, and O ( Figure  4c).  As the temperature used for the heat treatment of the electrodes was the same used in the synthesis route, and the particles used in the deposition process were previously prepared and characterized by X-ray diffraction (Figure 2), it is possible to assume that the particles on the surface of graphite consist of monoclinic BVO. As observed in Figure   Figure 4. SEM images of pencil graphite surface: (a,b) after the deposition of BVO particles; (c) EDS spectrum indicating the composition of material after deposition.
Photochem 2023, 3 46 The surface of the graphite electrode presents some irregularities, and some particles are observed on the surface of graphite after the deposition process ( Figure 4b); in addition, it is noticed that the particles present different size. These results are supported by EDS after deposition, with the spectrum shows peaks referring to Bi, V, and O ( Figure 4c).
As the temperature used for the heat treatment of the electrodes was the same used in the synthesis route, and the particles used in the deposition process were previously prepared and characterized by X-ray diffraction (Figure 2), it is possible to assume that the particles on the surface of graphite consist of monoclinic BVO. As observed in Figure 4b, the graphite surface was not homogeneously covered by BVO particles, which may be related to the Polydispersity Index (PDI) values found. Furthermore, after deposition, the EDS spectrum also shows peaks related to carbon electrons (Figure 4c).

DLS and Zeta Potential Measurements
Some photocatalytic semiconductors have altered behavior in the aqueous medium [38]. To further investigate the properties of BVO, the hydrodynamic particle size was analyzed, and about 98.5% (peak 1) of the powder showed values of approximately 0.3328 µm while about 1.5% (peak 2) of the powder showed a diameter of 5.56 µm and with a mean value of 0.4184 d.µm. The polydispersity index (PDI) was 0.456, which represents an intermediate value of monodispersity for the solution. It is not known what constitutes an acceptable number for the PDI, but values close to 0.2 indicate that the solution is more monodispersed, that is, without the probable formation of "clusters" of the analyzed compound. It merely has to be suitable for the purpose. The presence of peak 2 with much larger diameter values of BVO powder is not interesting because to have better coverage of the substrate, it is necessary that the molecules have lower values. As for the realization of the electrode synthesis experiments, the BVO was subjected to a long time in shaker; this factor could have been reduced. The values found from the DLS were compatible with those determined by SEM (0.017-0.886 µm).
This result is essential since a more significant dispersibility over a greater surface area guarantees a more excellent surface available for electrocatalytic and photoelectrocatalytic reactions. However, these PDI values can also be correlated to the non-formation of a BVO film on the graphite surface, as seen in the SEM analysis, since the water/BVO solution is very monodispersed. The zeta potential found on the surface of the BVO@C material was ζ = −22.2 mV, indicating that the surface charge of the particles used to modify the graphite presented negative charges. Theoretically, semiconductors with negative surface charges will be more efficient in degrading cationic organic pollutants. In addition to Rhodamine B, other cationic dyes include acridine orange, proflavine, safranin, neutral red [39], methylene blue [40], malachite green [41], and crystal violet. Some pharmaceutical compounds (e.g., ciprofloxacin and norfloxacin, amitriptyline, clozapine, verapamil, risperidone, and hydroxyzine [42]) are also cationic, along with several other persistent organic pollutants.

Electrochemical Characterization
Electrochemical Impedance Spectroscopy (EIS) was used for the characterization of interfacial variations of the electrode surface, and also to investigate impedance behaviors based on different electrodes. In EIS, the rightmost part of the semicircle in the Nyquist plot corresponds to the resistance associated with electron charge transference, i.e., the electrode's resistance to charge transference (Rct), followed by an c.a. 45 • ascendant line, which is related to the diffusion process in the electrode. Moreover, the diameter of the semicircle represents the difficulty of electron transfer in the solution and electrode system, providing information on the resistivity of the system and on the electrochemical interphase. Figure 5 shows Nyquist diagrams for EIS measurements for the unmodified electrode and for the BVO@C. Through the analysis of the diagrams, a small-diameter semicircle was observed for the unmodified electrode, the diameter of which was smaller in BVO@C (0.01 kΩ). These results suggest that the surface of BVO@C modified with BVO particles has a lower resistivity to electron transference between the electrode/solution interface.
The improvements observed, in terms of conductivity, are attributed to the greater surface area of the BVO@C, the electrocatalytic effect, and the semiconductor properties of the BVO, which, as a consequence, decrease the Rct, facilitating the transfer of electrons.
The improvements observed, in terms of conductivity, are attribut area of the BVO@C, the electrocatalytic effect, and the semicond BVO, which, as a consequence, decrease the Rct, facilitating the tr Moreover, the diameter of the semicircle represents the diffic in the solution and electrode system, providing information o system and the electrochemical interphase. In relation to Figure 5, the decrease in resistivity in the ele more significant than in the enlarged figure, and these results are later use of the electrode, it is important that it has a low guaranteeing a higher rate of electronic transfer, a lower energy greater efficiency in the use of the electrode. Moreover, the diameter of the semicircle represents the difficulty of electron transfer in the solution and electrode system, providing information on the resistivity of the system and the electrochemical interphase.
In relation to Figure 5, the decrease in resistivity in the electrode BVO@C is much more significant than in the enlarged figure, and these results are interesting since, for the later use of the electrode, it is important that it has a low resistivity value, thus guaranteeing a higher rate of electronic transfer, a lower energy cost and, consequently, greater efficiency in the use of the electrode.
To observe the electrochemical response of the graphite and BVO@C electrodes, Cyclic Voltammetry (CV) analysis was performed in 0.05 mol L −1 potassium ferrocyanide in 0.1 mol L −1 KCl pH 7.0, and the result is illustrated in Figure 6.
The successive cyclic voltammograms scans for BVO@C and unmodified graphite are show in Figure 6. It can be observed the Ferro/Ferri E pa /E pc redox system is around 0.2 V, whereas the enlarged DE p is related to low conductivity of pencil graphite. Moreover, the E pa around 0.39 V refers to the oxidation of V 4+ to V 5+ , while in cathodic scanning the reduction of V 5+ for V 4+ was observed around 0.17 V, which associates with or is possibly due to the accumulation of charges in the conduction band, which was reported to have mixed V, Bi and O [43].
The hysteresis presented in the photocurrent profile can be linked to changes in pH within the structure of graphite. At more negative potentials, an increase exponential of the current is observed due to the release reaction of hydrogen by the reduction of water [44]. Since BVO is a semiconductor of the n-type, it is expected that it can be used in the oxidation reaction of water and oxygen production.
To observe the electrochemical response of the graphite a Cyclic Voltammetry (CV) analysis was performed in 0.05 mol L −1 in 0.1 mol L −1 KCl pH 7.0, and the result is illustrated in Figure 6. The successive cyclic voltammograms scans for BVO@C and u show in Figure 6. It can be observed the Ferro/Ferri Epa/Epc redox whereas the enlarged DEp is related to low conductivity of pencil g Epa around 0.39 V refers to the oxidation of V 4+ to V 5+ , while in reduction of V 5+ for V 4+ was observed around 0.17 V, which assoc due to the accumulation of charges in the conduction band, whic mixed V, Bi and O [43].
The hysteresis presented in the photocurrent profile can be l within the structure of graphite. At more negative potentials, an the current is observed due to the release reaction of hydrogen by [44]. Since BVO is a semiconductor of the n-type, it is expected th oxidation reaction of water and oxygen production. Figure 6 shows that, after sanding the graphite and adding BV decrease in the thickness of the graphite composite which leads between the anodic and cathodic peak potentials (Epa and Epc addition to the increase in current values, probably indicates a low of the BVO@C. It is noteworthy that the graphite composite layer electron transfer resistance at the electrode/solution interface due of the graphite composite in relation to the BVO@C electrodes, the  Figure 6 shows that, after sanding the graphite and adding BVO, there was a possible decrease in the thickness of the graphite composite which leads to a smaller difference between the anodic and cathodic peak potentials (E pa and E pc , respectively); this, in addition to the increase in current values, probably indicates a lower electrical resistance of the BVO@C. It is noteworthy that the graphite composite layer directly influences the electron transfer resistance at the electrode/solution interface due to a lower conductivity of the graphite composite in relation to the BVO@C electrodes, the electrical conductivity of the latter being much higher. Similar results for a glassy carbon electrode modified with bismuth film were found [45].
In Table 2, the values of CPE (Constant Phase Element) suggest a non-ideal behavior of the capacitor, leading to the introduction of the phase element and Rp (bias resistance) that were obtained by VC and EIS methods, respectively, for the studied electrodes. The intersection of the semicircle at low frequencies with the Z' (Ω) axis determined an Rp of 1680 Ω and an electrical double layer capacitance of 1.71 µF for the unmodified electrode, and an Rp of 41.1 Ω and an electrical double layer capacitance of 1.04 µF for the BVO@C. It is observed from the values found through Electrochemical Impedance Spectroscopy (EIS) that the resistivity values associated with resistance in parallel and the double layer decreased (about 97.5% reduction). These results can be related to the presence of BVO on the electrode surface since, in theory, the semiconductor would facilitate the exchange of electrical charges, thus reducing the resistivity and consequently increasing the electronic exchange and the conductivity of the electrode.
In addition, a reduction in capacitance was observed of c.a. 40 times for the modified electrode, in comparison to the unmodified counterpart ( Table 2). The decrease in the capacitive current is also easily noticeable in the CV comparison between electrodes ( Figure 6). Because the CPE is intrinsically associated with the double-layer formed in the electrode's surface and the double-layer's capacitive current is a significant noise factor in electroanalysis, it is reasonable to assume that the modified electrode would yield better sensitivity and higher analytical signals.
Furthermore, the Chi-square values for the unmodified and modified electrodes were found to be 0.047513 and 0.0069898, respectively. Optimal values for Chi-square should be below (<0.001) for finding an equation or a model suitable for describing the electrical circuit equivalent, in order to minimize the sum of the squares. As we can see from the values obtained through the EIS, the value found for BVO@C (0.0069898) is closer to 0.001, that is, it presents a better quadratic correlation. Thus, we can infer that there was an improvement concerning the non-modified electrode since that showed values of 0.047513, well above the correlation values of interest.
Despite this, this parameter should not be the only criterion to be evaluated for a good fit. To have a better prediction of the circuit, it would be interesting to perform some diagnostic tests before performing the EIS. Among them, we can include linear polarization resistance trend, and low potential regime polarization trend for determining Rct and io, etc. In addition, the analysis of real and imaginary impedance variation with frequency change can also be used to predict interfacial processes. The variation of the adjusted phase angle (considering the resistance of the solution) with the frequency can be used to determine the existence of a diffusion control process.

Photoelectrocatalytic (PEC) and Elecrocatalytic (EC) Tests
To analyze the performance of BVO@C in relation to graphite without modification, electro-oxidation tests were performed. Experiments were carried out with standard graphite and with BVO@C, as can be seen in Figures 7A-C and 8. There was an increase in discoloration of RhB with the BVO@C modification compared with graphite without modification. Figures 8 and 9 shows that the discoloration percentages for unmodified graphite, the BVO@C EC system, and the BVO@C PEC system at 5 min of treatment were 31.53%, 46.09% and 58.17%, respectively, reaching 95%, 98% and 99.64%, respectively, after 30 min of treatment. The results found in this work showed superior values of RhB degradation efficiency in relation to others presented in the literature [46][47][48].
This fact can be explained by the presence of BVO particles on the surface of the graphite, which favors electronic exchange on the active surface of the electrode while also significantly reducing the resistivity of the material. This can be explained by oxidation/reduction reactions that occur at the interface of the electrodes that make up the degradation system. These factors tend to increase the production of •OH radicals and other radicals in the reaction medium. There is also the synergistic factor [21] between the semiconductor and the chosen substrate, which makes this result even more efficient.    Figures 8 and 9 shows that the discoloration percentages for unmodified graphite, the BVO@C EC system, and the BVO@C PEC system at 5 min of treatment were 31.53%, 46.09% and 58.17%, respectively, reaching 95%, 98% and 99.64%, respectively, after 30 min of treatment. The results found in this work showed superior values of RhB degradation efficiency in relation to others presented in the literature [46][47][48].    Figures 8 and 9 shows that the discoloration percentages for unmodified graphite, the BVO@C EC system, and the BVO@C PEC system at 5 min of treatment were 31.53%, 46.09% and 58.17%, respectively, reaching 95%, 98% and 99.64%, respectively, after 30 min of treatment. The results found in this work showed superior values of RhB degradation efficiency in relation to others presented in the literature [46][47][48].  Based on the experimental results found, a possible reaction mechanism can be proposed for the degradation of RhB via PEC, and also the mechanism of interaction (hole scavenger) between graphite impregnated with BVO in relation to the hydroxyl radical (•OH) generation. Specifically, when the photoanode is under light irradiation (visible light, wavelength of approx. 520 nm), the electrons (e − ) present in the valence band (VB) of the BVO can be directed to the conduction band (CB), which leads to a greater number of holes (h + ) in VB from BVO. Subsequently, the electrons that were transferred to the CB from BVO can be quickly pulled into the CB from BVO@C under the anodic bias potential.
Then these electrons are transferred to the cathode through the external circuit in the PEC cell device, which decreases electron/hole pair recombination. Thus, the rapidly induced charge separation is managed in the interface between the BVO@C which can naturally strengthen the BVO photocatalytic performance when we have the BVO@C photoanode. Further studies are needed to identify with absolute clarity if there is a rational interaction mechanism between graphite and BVO in the generation of hydroxyl radical (•OH) through the oxidation of the water molecule via PEC. BVO@C can act in photoelectrocatalysis and water molecules can therefore be quickly oxidized in BVO@C to form free radicals, which are the oxidizing agents of RhB. Graphite/BVO's step division and cooperation is advantageous to accelerate the generation efficiency of hydroxyl radicals in the PEC system. In view of the results found, it is concluded that the attractive degradation presented in the PEC system could be attributed to the multiple synergistic effects of interaction between graphite and BVO particles. This synergism between the use of light and dye was also observed in other studies, which noted greater efficiency in the treatment of PEC systems compared to EC and PC systems [49][50][51]. Thus, further studies are suggested to identify possible intermediates and identify mechanisms of RhB degradation.
The results for the application of BVO@C in the PEC system showed higher values than the BVO@C EC system. Photoelectrocatalysis combines the advantages of photocatalytic oxidation (PC) and electrocatalytic oxidation (EC). When the potential difference was applied, along with visible light illumination, the photogenerated electrons due to bandga were attracted to the cathode steering the system through the electrical circuit. In this way, the photogenerated holes were left free on the anode surface to oxidize organic materials. Thus, the recombination of the electron/hole pair was effectively avoided. Some studies [52,53] demonstrated that the sum of degradation rates for individual PC and EC systems were lower than for the PEC system at the same point, which indicates a synergistic effect in the PEC system. The results are important since the photoelectrochemical technique can be applied on a large-scale using sunlight as energy.
The kinetic study is an essential parameter in degradation studies. Therefore, this study was undertaken to predict the rate at which RhB is degraded from aqueous solution using the two different electrodes in the EC and PEC processes. According to previous studies [54][55][56][57], the discoloration dynamics of the RdB can be described by a model of pseudo-first-order kinetics. The graph of ln C 0 /C ( Figure 10) as a function is shown in a straight line. Studying the slope of this line in linear regression corresponds to the apparent first-order rate constant (K).
In EC reactions with unmodified graphite and with BVO@C, lower values of k (0.10272 and 0.12221 min −1 , respectively) were observed relative to the application of BVO@C in the PEC system (k = 0.15022 min −1 ). This can be explained by the oxidation/reduction reactions that appear at the interface of the electrodes that compose the degradation system, as a greater electronic exchange favored by the presence of the semiconductor BVO on the surface of the substrate may be associated with the higher values of k found for BVO@C. In EC reactions with unmodified graphite and with BVO@C, lower (0.10272 and 0.12221 min −1 , respectively) were observed relative to the a BVO@C in the PEC system (k = 0.15022 min −1 ). This can be explai oxidation/reduction reactions that appear at the interface of the electrodes t the degradation system, as a greater electronic exchange favored by the pr semiconductor BVO on the surface of the substrate may be associated wit values of k found for BVO@C.
The kinetics of the reactions is influenced by various parameters suc mass, oxygen pressure, and temperature pollutant concentration, whic discussed because they are not described within the scope of the present wor evaluated in later work [55].

Reuse Cycles
The reuse of the electrode in subsequent experiments is one of the main of using this type of material [58]. The reuse of the electrode is important i scale operations, such as wastewater treatment. This characteristic config application versatility and high treatment efficiency, thus reducing the oper related to the electrode. In addition, the reuse of electrodes meets the princi chemistry, considering the environment; this is increasingly important, as su tends to minimize waste generation and save materials considered high-ad BDD electrodes. The evaluation in relation to the reuse cycles of the BVO@C e performed as a function of the degradation rate of RhB (expressed as a perc 30 min (Figure 11). The kinetics of the reactions is influenced by various parameters such as catalyst mass, oxygen pressure, and temperature pollutant concentration, which were not discussed because they are not described within the scope of the present work and can be evaluated in later work [55].

Reuse Cycles
The reuse of the electrode in subsequent experiments is one of the main advantages of using this type of material [58]. The reuse of the electrode is important in industrialscale operations, such as wastewater treatment. This characteristic configures a high application versatility and high treatment efficiency, thus reducing the operational costs related to the electrode. In addition, the reuse of electrodes meets the principles of green chemistry, considering the environment; this is increasingly important, as such recycling tends to minimize waste generation and save materials considered high-added value as BDD electrodes. The evaluation in relation to the reuse cycles of the BVO@C electrode was performed as a function of the degradation rate of RhB (expressed as a percentage) over 30 min (Figure 11).
The electrode presented a high rate of degradation of RhB, with about 90% degradation of the dye maintained up to the 4th reuse cycle. After the 5th cycle, there was a slight decrease in the efficiency of the electrode, reaching approximately 80% RhB degradation after the 9th cycle of use. One explanation for this phenomenon is to consider that organic molecules or reactive intermediates are adsorbed on the surface of the particle electrodes and the wear of the particles on the electrodes can be caused in the process of use. The reuse rates of working electrodes in PEC degradation change according to the material used as the catalyst and the type of target compound; nonetheless, these have excellent rates of organic compost degradation or inactivation of bacteria after several cycles of degradation [59,60]. The electrode presented a high rate of degradation of RhB, with abou degradation of the dye maintained up to the 4th reuse cycle. After the 5th cycle, the a slight decrease in the efficiency of the electrode, reaching approximately 80% degradation after the 9th cycle of use. One explanation for this phenomenon is to co that organic molecules or reactive intermediates are adsorbed on the surface of the p electrodes and the wear of the particles on the electrodes can be caused in the pro use. The reuse rates of working electrodes in PEC degradation change according material used as the catalyst and the type of target compound; nonetheless, thes excellent rates of organic compost degradation or inactivation of bacteria after s cycles of degradation [59,60].

Conclusions
A new electrode consisting of pencil graphite deposited with bismuth va (BVO@C) particles was successfully synthesized by the deposition method. The res the characterization step demonstrated the presence of BVO groups on the surf pencil lead. In addition, it was possible to optimize the synthesis of the graphite ele with BVO by varying the concentration of BVO and the contact time of the graphit the BVO/water solution. When evaluating the response surface, we noticed two that seemed to be antagonistic towards maximizing the efficiency of RhB degradatio with a shorter contact time of graphite with the solution and a higher concentra BVO, and the other with a longer contact time of graphite with the solution and values of BVO concentration. As the contact time is considered high (24,48,72 h preference was to work with higher concentration values and a shorter contact tim the solution.
The results obtained by SEM/EDS showed specific peaks referring to Bi, V a thus confirming the presence of BVO particles on the graphite electrode s Furthermore, different sizes of BVO particles were found on the surface, demons that the distribution was not homogeneous; in addition, there was not a complete c

Conclusions
A new electrode consisting of pencil graphite deposited with bismuth vanadate (BVO@C) particles was successfully synthesized by the deposition method. The results of the characterization step demonstrated the presence of BVO groups on the surface of pencil lead. In addition, it was possible to optimize the synthesis of the graphite electrode with BVO by varying the concentration of BVO and the contact time of the graphite with the BVO/water solution. When evaluating the response surface, we noticed two trends that seemed to be antagonistic towards maximizing the efficiency of RhB degradation; one with a shorter contact time of graphite with the solution and a higher concentration of BVO, and the other with a longer contact time of graphite with the solution and lower values of BVO concentration. As the contact time is considered high (24, 48, 72 h), our preference was to work with higher concentration values and a shorter contact time with the solution.
The results obtained by SEM/EDS showed specific peaks referring to Bi, V and O, thus confirming the presence of BVO particles on the graphite electrode surface. Furthermore, different sizes of BVO particles were found on the surface, demonstrating that the distribution was not homogeneous; in addition, there was not a complete coating of the graphite, with the formation of a thin homogeneous layer on the graphite surface. These results may be related to the PDI value found for the water/BVO solution (0.456) indicating that the solution is not prone to the formation of agglomerates, which may be intrinsically linked to the difficulty of forming a homogeneous deposition on the surface of the electrode. The zeta potential found in the BVO@C material was found to be ζ = −22.2 mV, indicating that the surface charge of the particles used to modify the graphite presented negative charges. This parameter is important, since, theoretically, electrodes with negative charges would present a greater degradation efficiency in relation to cationic compounds, as is the case of RhB.
The unmodified electrode and BVO@C were electrochemically characterized through EIS and CV, confirming that the electrodes modified with BVO nanoparticles presented better electrochemical performance than the electrodes without modification. The BVO@C showed greater electroactive surface area, and lower electron transfer resistance, considerably increasing the electron transfer rate with a higher current gain relative to the unmodified electrode due to the higher conductivity of BVO, ensuring more excellent stability of the modifier layer on the electrode surface.
Degradation tests (EC and PEC) using the unmodified electrode and BVO@C confirmed that the synthesized modified electrode degraded the target compound (RhB) more efficiently than the unmodified electrode. The application of BVO@C in the PEC process showed better results than when the same electrode was applied in the EC process. The degradation percentages for unmodified graphite and BVO@C applied to EC and PEC at 5 min of treatment were 31.53%, 46.09%, and 58.17%, and reached 95%, 98%, and 99.64%, respectively, at 30 min of treatment. First-order apparent velocity constant values were determined (0.10272, 0.12221, and 0.15022 m −1 , respectively). The values found may be related to the presence of BVO on the electrode surface which, in theory, would facilitate electronic exchange and the production of radicals (•OH), thus increasing the degradation of the organic pollutant. In addition, the electrode showed good stability, with 9 reuse cycles and maintaining the degradation efficiency above 80%. This result is important because the more stable the electrode, the lower the cost of manufacturing new electrodes.
The development of a new modified electrode prepared with 2 mm pencil graphite modified with BVO nanoparticles by the contact deposition method is considered an easy, fast, low-cost and simple method. Experiments aimed at testing its potential use in several electrochemical applications of clinical, pharmaceutical and environmental interest were successfully performed. In summary, these results indicate the excellent performance of BVO@C for water remediation applications in the degradation of persistent contaminants such as RhB. Furthermore, the ease of synthesis opens the door to future applications to cost-effectively degrade a wide range of emerging contaminants as well as other possible applications.