Open Access Article
Hassan Esmaili
*a,
Roozbeh Izadi
a,
Amirhossein Ahmadnezhada,
Astita Dubey
ab,
Marianela Escobar-Castillo
a and
Doru. C. Lupascu
*a
aInstitute for Materials Science and Center for Nanointegration Duisburg-Essen (CENIDE), University of Duisburg-Essen, 45141 Essen, Germany. E-mail: hassan.Esmaili@stud.uni-due.de; doru.lupascu@uni-due.de
bInstitute for Advanced Materials and Manufacturing, Department of Materials Science and Engineering, The University of Tennessee Knoxville, Knoxville, Tennessee 37996, USA
First published on 16th May 2026
Indium vanadate (InVO4) has attracted considerable attention for photocatalytic applications owing to its narrow band gap, non-toxicity, and high chemical stability. However, for the removal of organic dyes from wastewater, both photocatalytic degradation and adsorption by InVO4 have been reported, and the dominant mechanism remains unclear. This study investigates the removal mechanism of cationic dyes by InVO4. Two distinct morphologies of InVO4, spherical (IVO-S) and nanorod (IVO-R), were synthesized via a hydrothermal method. Comparative removal tests under light and dark conditions suggest that adsorption, rather than photocatalytic degradation, is the dominant removal pathway under the conditions investigated. Among the two morphologies, IVO-R exhibits superior adsorption performance, achieving a maximum capacity of 290 mg g−1 for methylene blue (MB). This is attributed to its smaller particle size. The material demonstrates excellent pH tolerance, maintaining high adsorption efficiency across a broad pH range (2–10), with an optimal dosage of 0.15 g L−1. Zeta potential analysis confirms a negatively charged surface within this pH range. Adsorption was significant only for cationic dyes, suggesting electrostatic attraction as the key driving force. Furthermore, XPS analysis reveals no evidence of strong chemical bonding between MB and the InVO4 surface, implying that non-covalent interactions between MB and InVO4 surface sites underpin the adsorption process. Kinetic studies indicate that adsorption follows a pseudo-second order model, with a rate constant (k2) of 0.009 g mg−1 min−1 for 30 mg L−1 MB. Isotherm analysis shows the best fit with the Sips model predicting a maximum adsorption capacity of 285 mg g−1, closely matching the experimental results.
Biological methods are considered conventional; however, they are often ineffective for treating wastewater with low dye concentrations.2 In such cases, chemical methods (e.g., advanced oxidation processes4,5 and photochemical treatments6,7) and physical methods (e.g., adsorption,8,9 coagulation,10,11 and flocculation12) are more practical and efficient. Among the available dye removal techniques, photochemical degradation and physical adsorption have demonstrated particularly promising performance in removing dyes from wastewater.13
The photochemical method is a chemical approach in which dyes are degraded through the application of a light source and a photocatalyst that becomes activated upon light exposure.14 While this method effectively breaks down dye molecules, it often results in the formation of by-products, which is a notable drawback. These by-products should be subsequently removed from the solution to prevent secondary pollution.15 However, a key advantage of photochemical treatment is the reusability of the photocatalysts, as dyes can adsorb, degrade, and desorb from their surfaces over multiple cycles.16 In contrast, adsorption is a physical dye removal method where dye molecules adhere directly to the surface of an adsorbent via covalent or non-covalent interactions, including electrostatic attraction, hydrogen bonding, van der Waals forces, hydrophobic interactions, and/or π-related interactions, depending on the surface chemistry of the adsorbent and the molecular structure of the dye. For aromatic dyes, π–π stacking may occur, when the adsorbent contains graphitic or conjugated aromatic domains, or between adsorbed dye molecules themselves.17 This technique does not generate any by-products, and dyes are completely removed from the solution.18 Nevertheless, its main limitation lies in the limited number of adsorption sites available on the adsorbent material, which restricts its capacity and reusability.
A wide range of adsorbent materials have been investigated for dye removal, including conventional adsorbents such as activated carbon, carbon nanotubes, and clays, as well as bio-based materials like lignin and advanced metal oxides such as titanium dioxide and zinc oxide.19 These adsorbent materials offer high specific surface areas, enabling efficient dye uptake through physical adsorption mechanisms. In addition to adsorption, various photocatalytic materials have been proposed for dye degradation and photochemical dye removal, including metal oxides, metal sulfides, perovskites, and metal vanadates.20,21 Among them, InVO4, a low-bandgap semiconductor that can be activated under visible-light irradiation, has attracted attention as a promising photocatalyst for dye degradation.22
Interestingly, in the case of rhodamine B and methylene blue removal, both photocatalytic degradation23–32 and adsorption33,34 by InVO4 for a similar concentration of dyes have been reported, suggesting that this material can simultaneously function as a photocatalyst and an adsorbent. For the same dye concentration range of 5–50 mg L−1, both adsorption and photocatalytic degradation have been reported. These findings appear contradictory, making the role of light activation unclear. Typically, in a photocatalytic degradation process, dye molecules are first adsorbed onto the surface of the photocatalyst until adsorption–desorption equilibrium is reached; subsequently, the remaining dye molecules are degraded via photocatalytic reactions under light irradiation. In the case of InVO4, a high adsorption capacity has been reported,33,34 indicating that the material is capable of adsorbing nearly all dye molecules within the concentration range of 5–50 mg L−1 before equilibrium is achieved.
This raises a critical question: are rhodamine B and methylene blue removed from wastewater by InVO4 primarily through photocatalytic degradation or via physical adsorption? The aim of the present study is to address this question and determine whether the removal process is truly photochemical, driven by light and InVO4 as a low-bandgap photocatalyst, or whether it is predominantly an adsorption process occurring on the surface of InVO4. The removal behavior of RhB and MO, representing cationic and anionic dyes, respectively, was compared under both light and dark conditions. This approach allows the effect of light irradiation to be evaluated and enables assessment of the potential contribution of a hybrid adsorption–photocatalytic process to the overall dye removal by InVO4.
In addition, previous studies have reported both adsorption and photocatalytic degradation of dyes by InVO4 with different morphologies. Because these morphologies are typically synthesized using various precursors and exhibit distinct surface areas, crystallinities, and related physicochemical properties, the dye removal behavior may depend on morphology. To examine this assumption, InVO4 powders with two of the most commonly reported morphologies (spherical and nanorod) were synthesized in this study. By systematically comparing their dye removal behavior under identical conditions, this work also aims to clarify whether the dye removal mechanism of InVO4 is morphology dependent or not. The underlying removal mechanisms are also systematically studied using dye-selectivity tests, zeta potential, FTIR, XPS, kinetic modeling, and adsorption isotherm analysis.
The synthesized InVO4 powders with spherical and nanorod morphologies are designated by the sample codes listed in Table 1.
| Morphology | Code |
|---|---|
| Spherical | IVO-S |
| Nanorod | IVO-R |
![]() | (1) |
Here, C0 and Ce (mg L−1) represent the initial and equilibrium dye concentrations in solution, m denotes the mass of the adsorbent (IVO-R) in grams, and V is the solution volume in liters (L).
![]() | (2) |
![]() | (3) |
| qt = qe(1 − e−k1t) | (4) |
![]() | (5) |
In these equations, qe and qt (mg g−1) represent the adsorption capacities at equilibrium and at time t, respectively, while k1 (min−1) and k2 (g mg−1 min−1) denote the rate constants for the PFO and PSO kinetic models.
![]() | (6) |
![]() | (7) |
![]() | (8) |
In these models, qe (mg g−1), Ce (mg L−1) and qm (mg g−1) represent the equilibrium adsorption capacity, the equilibrium dye concentration, and the maximum adsorption capacity, respectively. The Langmuir constant is denoted by b (L mg−1). For the Freundlich model, KF (mg g−1)(L mg−1)1/n and n (g L−1) are the equilibrium constant and heterogeneity factor, respectively. In the Sips model, KS (L mg−1) indicates the adsorption affinity constant.
As discussed, both samples exhibit similar crystal structures, with only minor differences related to crystallinity and XRD peak intensities. The most significant distinction between the two samples lies in their morphology. Fig. 2 presents the morphology and particle size distribution of the IVO-S and IVO-R samples. As shown in Fig. 2(a), the IVO-S sample, synthesized using indium nitrate as the precursor, displays a spherical morphology with particle sizes in the micrometer range (∼1–4 µm). In contrast, the IVO-R sample, prepared using InCl3, exhibits a rod-like structure. SEM analysis (Fig. 2(b)) suggests that IVO-R consists of nanosheets. However, high-resolution TEM images at higher magnifications (Fig. 2(c) and (d)) reveal that these nanosheets are actually agglomerates of IVO nanorods. This indicates that the use of InCl3 as the precursor restricts particle growth in three dimensions, favoring one-dimensional growth and resulting in nanorod formation. Interestingly, despite being synthesized at a higher temperature and for a longer reaction time (180 °C, 18 h) compared to those of IVO-S (120 °C, 12 h), the IVO-R sample exhibits smaller particle sizes. Its rod-shaped morphology provides a larger surface area, which is advantageous for adsorption processes. As shown in the insets of Fig. 2(a) and (d), the average particle size of IVO-S is approximately 2 µm, whereas the width of IVO-R rods is below 30 nm, confirming their significantly smaller size and higher surface area.
Fig. 3(a) shows the FTIR spectra of the IVO-S and IVO-R samples. For IVO-S, four major absorption bands are observed at 446, 669, 900, and 1625 cm−1, while the main peaks for IVO-R appear at 468, 746, 1000, and 1612 cm−1. In both samples, the bands near 1612–1625 cm−1 correspond to lattice water molecules incorporated during the hydrothermal synthesis process.34 The peaks at 446 cm−1 (IVO-S) and 468 cm−1 (IVO-R) are attributed to the symmetric stretching vibrations of V–O–V bonds, which are characteristic of vanadate-based structures. Additionally, bending vibrations of V–O–In bonds are evident at 669 cm−1 for IVO-S and 746 cm−1 for IVO-R.43 The band at 900 cm−1 in IVO-S is associated with the asymmetric stretching vibration of V–O bonds, whereas the peak at 1000 cm−1 in IVO-R corresponds to the stretching vibration of terminal vanadium-oxygen bonds (V
O).44,45
![]() | ||
| Fig. 3 FTIR spectra of (a) IVO-S and IVO-R samples and (b) the Tauc plot of IVO-S and IVO-R samples with an error of 0.03 eV. | ||
To evaluate the optical properties of InVO4 and determine its light activation potential, the bandgap energy (Eg) of both samples was calculated using the Kubelka–Munk equation (eqn (9)):46
| (F(R)hν)1/n = A(hν − Eg) | (9) |
In addition, XPS analysis was employed to investigate the oxidation states and surface chemical compositions of both samples. As shown in Fig. 4, both samples exhibit similar XPS peaks. Two peaks at 445.1 and 452.6 eV correspond to In 3d3/2 and 3d5/2, confirming the presence of the In3+ oxidation state. The formation of V5+ is indicated by peaks at 517.3 and 524.9 eV, which are attributed to V 2p1/2 and V 2p3/2, respectively.
![]() | ||
| Fig. 4 XPS analysis of the InVO4 samples: (a)–(c) In, V, and O scan spectra for the IVO-R sample and (d)–(f) In, V, and O scan spectra for the IVO-S sample. | ||
For oxygen, a slight difference is observed between the IVO-R and IVO-S samples. While both samples display a characteristic peak at 530.2 eV (530.7 eV for IVO-S), corresponding to the O2− oxidation state of the lattice and surface-adsorbed oxygen, the IVO-S sample shows an additional small peak at 531.9 eV, which can be associated with the formation of hydroxyl groups on the surface.47,48 So, based on the XPS analysis, both samples exhibit similar surface structures with identical oxidation states and chemical compositions.
To assess the light activation of InVO4 for dye removal, two experiments were conducted using IVO-R as the adsorbent and rhodamine B (RhB) as the model dye. A suspension containing 0.1 g L−1 of IVO-R and 5 mg L−1 of RhB was tested under two conditions: in the dark (Fig. 5a) and under light irradiation (Fig. 5b). As shown in Fig. 5, both experiments yield identical results, indicating that light irradiation does not influence dye removal. The primary mechanism is adsorption rather than photocatalytic degradation. Approximately 55% of RhB was adsorbed within 180 min under both conditions, with most adsorption occurring within the first 5 min. This rapid adsorption can be attributed to the negative surface charge of IVO-R, confirmed by zeta potential measurements across the pH range (2–10) (see Fig. 6e). Since RhB is a cationic dye,49 electrostatic interactions drive its adsorption onto the IVO-R surface.
Similar experiments were performed for methylene blue (MB) and methyl orange (MO) under dark conditions (0.1 g L−1 IVO-R and mg L−1 dye concentration). Fig. 5(c) and (d) show the adsorption profiles. IVO-R exhibited excellent adsorption performance for MB, achieving complete removal within 30 min. In contrast, MO adsorption was negligible, with only 5% removal. MO removal under light irradiation is also shown in Fig. S1, which shows the same results as the sample without light irradiation, indicating the poor photocatalytic activity of InVO4 even when its surface is not covered by MO molecules. These results suggest the electrostatic nature of the adsorption process: MB, being cationic,50 shows strong affinity for the negatively charged IVO-R surface, whereas MO, an anionic dye,51 exhibits poor adsorption. Since InVO4 shows adsorption rather than photocatalytic degradation in dye removal, the subsequent discussion focuses on its adsorption efficiency, evaluating the effect of adsorption parameters, and presents kinetic and isotherm studies and a comparative analysis with conventional adsorbents.
To explore the adsorption capacity of InVO4 and identify strategies for its optimization, morphology was selected as the first parameter for investigation. Two distinct morphologies, spherical and rod-shaped, were evaluated for methylene blue (MB) adsorption. In a typical test, IVO-R and IVO-S powders (0.1 g L−1) were added to a 5 mg L−1 MB solution, and the dye concentration (Ct) was measured after 3 hours. As shown in Fig. 6(a) and Fig. S2, IVO-R achieved complete MB removal (100% efficiency) within 30 minutes, corresponding to an adsorption capacity of 47 mg g−1. In contrast, IVO-S exhibited lower performance, adsorbing 66% of MB with a maximum capacity of 33 mg g−1.
XPS data show that hydroxyl groups are present only on the surface of the IVO-S sample and absent on the IVO-R sample, where they may facilitate dye adsorption by acting as adsorption sites. However, despite the lack of confirmed hydroxyl groups, the IVO-R sample shows higher adsorption performance. The higher adsorption capacity of IVO-R compared with IVO-S indicates that hydroxyl-related groups are not the primary factor controlling MB uptake in this system. The superior performance of the rod-shaped IVO-R sample aligns with the SEM and TEM data, which show that it has a smaller particle size compared to the spherical IVO-S sample, therefore offering a larger surface area for adsorption. To better compare particle sizes, the equivalent spherical diameter (ESD) of the nanorods based on Eqn 10 was estimated.52 Assuming a cylindrical geometry with an average width of 27 nm and length of 1000 nm (based on TEM images), the average volume (V) was calculated to be approximately 5.22 × 10−22 m3. Using eqn (10), the ESD (de) was determined to be 103.02 nm, significantly smaller than the ∼2000 nm diameter of the spherical sample. This substantial difference in particle size contributes to the enhanced adsorption performance of the rod-shaped morphology by providing more active surface area.
![]() | (10) |
These results demonstrate that different morphologies of InVO4 function effectively as adsorbents in dye removal, rather than as photocatalysts. However, by optimizing the morphology, their adsorption capacity can be significantly enhanced. Based on the results shown in Fig. 6(a), the IVO-R sample with nanorod morphology was chosen as the optimized sample and selected for further investigation and enhancement of InVO4 adsorption capacity.
To further investigate and confirm the adsorption of methylene blue (MB) on the surface of the IVO-R sample, FTIR measurements were performed before and after the adsorption test. As shown in Fig. 6(b), four new absorption bands appear in the FTIR spectrum of IVO-R after MB adsorption at 1172, 1246, 1388, and 1585 cm−1, which are associated with MB molecules on the surface. The bands at 1172 and 1246 cm−1 correspond to N–CH3 stretching vibrations.53 Additionally, the peaks at 1585 and 1388 cm−1 are attributed to the C
C skeletal stretching of the benzene ring in the phenothiazine core and the C–N stretching vibration, respectively.54 These characteristic organic vibrations, absent in the pristine IVO-R spectrum, confirm the successful adsorption of MB onto the IVO-R surface during the adsorption process.
Another key parameter for maximizing the adsorption capacity is the adsorbent dosage. To optimize this, the IVO-R sample (as the optimized morphology) was used in a series of experiments with varying dosages added to a 40 mg L−1 MB solution. The experiments were continued until an equilibrium concentration (Ce) was reached, and the adsorption capacity (qe) was calculated for each dosage. As shown in Fig. 6(c), the highest adsorption capacity was achieved at a dosage of 0.15 g L−1, reaching 239 mg g−1. Although complete MB removal was not observed at lower dosages (e.g., 0.05 and 0.1 g L−1), these samples still exhibit high adsorption capacities of 145 and 204 mg g−1, respectively. At and above 0.15 g L−1, full MB adsorption occurs; however, a downward trend in qe was observed beyond this dosage, as illustrated in Fig. 6(c). This decline is attributed to the saturation of available MB molecules relative to the excess adsorbent surface area. Therefore, 0.15 g L−1 is identified as the optimal dosage, balancing maximum adsorption efficiency with minimal adsorbent usage.
In addition, Fig. 6(d) illustrates the effect of pH on the adsorption of MB dye by the IVO-R sample. Experiments were conducted at four different pH values (2, 5.5, 7, and 10) using a fixed IVO-R dosage of 0.15 g L−1 and an MB concentration of 20 mg L−1. Remarkably, complete dye removal (100% efficiency) was achieved across all pH conditions, indicating that InVO4 exhibits excellent pH tolerance and consistent adsorption performance in acidic, neutral, and basic environments. Although the final adsorption capacity was similar across all conditions, a slight difference in adsorption kinetics was observed at pH 2. While samples at pH 5.5, 7, and 10 reached full dye removal within the first 5 minutes, the pH 2 sample required up to 30 minutes to achieve complete adsorption. During the initial phase, the adsorption capacity of the pH 2 sample remained below 130 mg g−1, whereas the other samples exceeded this value within 5 minutes. All samples reached equilibrium after 90 minutes, confirming that pH does not significantly affect the overall adsorption behavior of InVO4.
This trend can be explained by measuring the surface charge of the IVO-R sample at different pH values. Fig. S3 shows the zeta potential of IVO-R in acidic and basic environments. The IVO-R sample exhibits a negative surface charge across the entire pH range (2–10) and as pH increases, the surface charge becomes more negative, from −10.82 mV at pH 2 to −118.27 mV at pH 10. MB predominantly exists in the cationic form (MB+);50 therefore, electrostatic attraction is the primary mechanism for adsorption, and the consistently negative surface charge of IVO-R explains its high adsorption rate and pH tolerance. However, under strongly acidic conditions (pH = 2), the adsorption rate is lower. This can be explained by the presence of excess H+ ions and the less negative surface potential at this pH compared to that at higher pH values. At higher pH levels (5.5–10), the adsorption process follows a very similar trend. After optimizing different parameters, the IVO-R sample exhibited a maximum adsorption capacity of 290 mg g−1, which is comparable to that of conventional adsorbents. The performance of InVO4 as an adsorbent obtained in this study is compared with the conventional adsorbents, shown in Table S2.
These findings suggest that InVO4 maintains strong adsorption performance across a wide pH range, making it highly versatile for practical applications. Moreover, due to its consistently high adsorption efficiency, adjusting the pH to avoid adsorption and isolate photocatalytic degradation is not feasible. This supports the conclusion that dye removal by InVO4 is dominated by adsorption rather than photocatalysis.
To further evaluate the adsorption performance of InVO4, its behavior toward mixed pollutants was also investigated, as shown in Fig. S4. A binary dye mixture containing RhB and MB in equal proportions (1
:
1) was prepared, with each dye at a concentration of 20 mg L−1, resulting in a total pollutant concentration of 40 mg L−1. It can be observed that the absorption peak at 664 nm, corresponding to MB, disappears within the first 5 minutes. Nevertheless, the characteristic peak of RhB at 554 nm remains visible even after 180 minutes of the reaction, and the removal efficiency for rhodamine B in the mixed solution is approximately 60%. The color of the mixed pollutant solution changes from violet to pink, indicating the presence of residual rhodamine B in the solution (Fig. S5).
To investigate the adsorption kinetics and rate of MB removal by IVO-R, experimental data at two initial MB concentrations (30 and 50 mg L−1) were fitted to the pseudo-first order (PFO) and pseudo-second order (PSO) models. Since linearized forms of these models often introduce error propagation, a nonlinear fitting approach was employed for greater accuracy, as shown in Fig. 7(a). The corresponding rate constants and R2 values are summarized in Table 2. Both PFO and PSO models are derived from simplified Langmuir kinetics and exhibit dependence on the initial concentration (C0).55,56 Typically, PFO describes an adsorption well at high C0, the initial stage of adsorption and when few active sites are available, whereas PSO provides a better fit at low C0 and when adsorption occurs at final stages and the surface is abundant with active sites.57–59 Based on the obtained parameters, the PSO model demonstrates better correlation with the experimental data for both concentrations, with R2 values of 0.999 (MB30) and 0.987 (MB50), compared to 0.997 (MB30) and 0.972 (MB50) for PFO. This observation aligns with previous studies, which report that adsorption at low adsorbate concentrations generally follows second-order kinetics.59 The adsoprtion of MB by the IVO-R sample and the change in the color also is shown in Fig. S6.
| MB initial concentration (mg L−1) | Pseudo first-order model | Pseudo second-order model | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| K1 (min−1) | R2 | (qe)exp | (qe)act | RMSE (mg g−1) | K2 (g mg−1 min−1) | R2 | (qe)exp | (qe)act | RMSE (mg g−1) | |
| (mg g−1) | (mg g−1) | |||||||||
| 50 | 0.401 | 0.972 | 257.42 | 270.18 | 10.54 | 0.003 | 0.987 | 261.63 | 270.18 | 7.23 |
| 30 | 0.448 | 0.997 | 174.39 | 175.69 | 2.22 | 0.009 | 0.999 | 175.87 | 175.69 | 0.65 |
The PSO rate constant (k2) was higher at lower MB concentration (0.009 g mg−1 min−1 for MB30) than at higher concentration (0.003 g mg−1 min−1 for MB50), indicating faster adsorption at lower dye concentrations. This difference can be attributed to the greater availability of active sites relative to dye molecules at lower concentrations. At MB30, the PSO-predicted adsorption capacity (175.87 g mg−1) closely matched the experimental value (175.69 g mg−1), whereas at MB50, the deviation between predicted and actual values increases slightly, reflecting the effect of site saturation at higher concentrations.
After evaluating the adsorption rate through kinetic studies, it is essential to examine the interaction between the adsorbent and adsorbate at equilibrium. To achieve this, adsorption isotherm studies were performed using three models: Langmuir, Freundlich, and Sips. The Langmuir model assumes monolayer adsorption on a homogeneous surface without interaction between adsorbed molecules, whereas the Freundlich model describes adsorption on a heterogeneous surface with the possibility of multilayer formation.60 The Sips model combines features of both Langmuir and Freundlich models, and it can account for surface heterogeneity and effectively overcome the limitations of the Langmuir and Freundlich models, particularly at higher adsorbate concentrations. The optimized IVO-R sample was used for isotherm studies with varying MB concentrations. Experimental data and model fittings are presented in Fig. 7(b), and the corresponding parameters including predicted maximum adsorption capacity, R2, and error metrics (ARE and RMSE) are summarized in Table 3. As the initial dye concentration increased, the maximum adsorption capacity also increased until reaching equilibrium at approximately 50 mg L−1. Based on R2 values, the experimental data exhibit the best fit with the Sips model (R2 = 0.95), which predicts a maximum adsorption capacity of 285 mg g−1, very close to the experimental value (290 mg g−1). Additionally, the Langmuir model provides a better correlation than the Freundlich model, with higher R2 and lower error values. The Langmuir-predicted capacity (308 mg g−1) is also close to the experimental result. These findings, combined with the observed plateau in adsorption capacity and the non-porous nature of the samples, suggest that MB molecules primarily form a monolayer on the heterogeneous surface of IVO-R, which contains non-uniform active sites. In addition, the obtained n value of 1.81 for the Sips model suggests that MB adsorption occurs on the heterogeneous IVO-R surface with non-uniform adsorption affinities. This heterogeneity is consistent with the nanorod morphology of IVO-R, where different exposed facets, edge/corner sites, defect sites, and local surface-charge environments may provide adsorption sites with different affinities toward MB.
| Adsorption model | Parameters | Obtained values | |
|---|---|---|---|
| Langmuir | qm | (mg g−1) | 307.85 |
| b | (L mg−1) | 3.36 | |
| R2 | 0.92 | ||
| ARE | (%) | 19.62 | |
| RMSE | (mg g−1) | 24.77 | |
| Freundlich | KF | (mg g−1) (L mg−1)1/n | 189.50 |
| n | 4.58 | ||
| R2 | 0.77 | ||
| ARE | (%) | 34.66 | |
| RMSE | (mg g−1) | 43.00 | |
| Sips | qm | (mg g−1) | 285.14 |
| Ks | (L mg−1) | 4.31 | |
| n | 1.81 | ||
| R2 | 0.95 | ||
| ARE | (%) | 13.74 | |
| RMSE | (mg g−1) | 20.24 | |
Supplementary information (SI) is available. See DOI: https://doi.org/10.1039/d6ma00355a.
| This journal is © The Royal Society of Chemistry 2026 |