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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1596814</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2025.1596814</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Preparation and phosphate adsorption performance of La modified bentonite composite membrane</article-title>
<alt-title alt-title-type="left-running-head">Xi et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmats.2025.1596814">10.3389/fmats.2025.1596814</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Xi</surname>
<given-names>Huan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="author-notes" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3010198/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chang</surname>
<given-names>Xiangming</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3128488/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Tingting</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3127961/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/resources/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Liang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3127964/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>College of Road</institution>, <institution>Bridge and Port-Harbor Engineering</institution>, <institution>Nanjing Vocational Institute of Transport Technology</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Physics and Technology</institution>, <institution>Wuhan University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2848610/overview">Harikrishnan Pulikkalparambil</ext-link>, Mahatma Gandhi University, India</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1904465/overview">Syahrul Fithry Senin</ext-link>, Universiti Teknologi Teknologi MARA, Cawangan Pulau Pinang, Malaysia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3022501/overview">Sabarish Radoor</ext-link>, Myongji University, Republic of Korea</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Huan Xi, <email>357005578@qq.com</email>, <email>xihuanhhu@163.com</email>
</corresp>
<fn fn-type="other" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>ORCID: Huan Xi, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0001-9683-3346">orcid.org/0000-0001-9683-3346</ext-link>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>07</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1596814</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Xi, Chang, Sun and Chen.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Xi, Chang, Sun and Chen</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Using selective adsorption membrane for low-concentration phosphate removal from water is one of the current research hotspots. In this study, La modified bentonite PVC membrane (abbreviated as PVC-LaBT) was prepared by chemical precipitation and phase conversion method. Compared to pure PVC membrane and PVC-BT (pure bentonite PVC membrane), PVC-LaBT shows more pores and larger surface roughness, which is due to the intercalation of La ions into the layers of bentonite, resulting in larger pure water flux and adsorption capacity. Using 1 mg&#xb7;L<sup>&#x2212;1</sup> phosphate solution, after treatment of 8 h by PVC-LaBT, phosphate concentration decreased to 0.1 mg&#xb7;L<sup>&#x2212;1</sup>, significantly less than the phosphate concentrations of solution treated by PVC-BT (0.5 mg&#xb7;L<sup>&#x2212;1</sup>) and PVC (0.7 mg&#xb7;L<sup>&#x2212;1</sup>). At an initial phosphate concentration of 5.0 mg&#xb7;L<sup>&#x2212;1</sup>, the maximum adsorption capacity was measured as 242.86 mg&#xb7;m<sup>&#x2212;2</sup>. Acid solution is conducive to phosphate adsorption, while the phosphate adsorption performance under alkaline solution is poor. Some anions (Cl<sup>&#x2212;</sup> and NO<sub>3</sub>
<sup>&#x2212;</sup>) have little effects on phosphate adsorption, the others (SO<sub>4</sub>
<sup>2&#x2212;</sup> and CO<sub>3</sub>
<sup>2&#x2212;</sup>) can inhibit phosphate adsorption. This study synthesized a green membrane, providing a new strategy for low concentration phosphate removal.</p>
</abstract>
<kwd-group>
<kwd>bentonite</kwd>
<kwd>La intercalation</kwd>
<kwd>composite membrane</kwd>
<kwd>phosphate</kwd>
<kwd>adsorption</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Polymeric and Composite Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>The intensification of water eutrophication is a common environmental problem faced by mankind. Untreated industrial and agricultural wastewater, as well as domestic sewage, contain a large amount of nutrient element (<xref ref-type="bibr" rid="B2">Ahmadijokani et al., 2022</xref>). If they discharge and the phosphorus concentration of lakes and oceans exceeds 0.02 mg&#xb7;L<sup>&#x2212;1</sup>, it will lead to algae blooms, reduction of dissolved oxygen and death of animals and plants in the water, thus threaten human production and life through the food chain (<xref ref-type="bibr" rid="B22">Rangabhashiyam et al., 2022</xref>).</p>
<p>Traditional chemical precipitation method is affected by water pH, and produces a large amount of sludge (<xref ref-type="bibr" rid="B4">Di Capua et al., 2022</xref>). Biological method has water quality sensitivity, as well as disability of removing low concentration of phosphate (<xref ref-type="bibr" rid="B34">Zhang C. et al., 2022</xref>). Compared with them, adsorption method has the advantages of high efficiency, environmental production and easy operation (<xref ref-type="bibr" rid="B35">Zhang M. et al., 2022</xref>; <xref ref-type="bibr" rid="B21">Radoor et al., 2024</xref>). The key to the effectiveness of adsorption method is the choice of adsorbent (<xref ref-type="bibr" rid="B24">Sabarish and Unnikrishnan, 2019</xref>).</p>
<p>Bentonite has abundant reserve, whose price is only about 1/20 of activated carbon. It has a large specific surface area and excellent ion exchange capacity, making it a commonly used raw material for water pollution adsorbent. Natural bentonite has negative charge on the surface, thus exhibits very low adsorption capacity for anionic pollutants (<xref ref-type="bibr" rid="B27">Wang B. et al., 2023</xref>). Metal elements such as iron, aluminum, lanthanum, zirconium and magnesium have been used as modifier (<xref ref-type="bibr" rid="B14">Liu et al., 2022</xref>). Compare with other metal ions, the efficiency of phosphate ion precipitation with lanthanum is higher in the wide pH range (4.5&#x2013;8.5) (<xref ref-type="bibr" rid="B16">Mi et al., 2022</xref>). Based on this, the Australian Federal Scientific and Industrial Research Organization (CSIRO) has developed lanthanum modified bentonite (Phoslock&#xae;) in the 1990s and it has been used in more than 150 water bodies in more than 20 countries around the world (<xref ref-type="bibr" rid="B5">Dithmer et al., 2016</xref>).</p>
<p>However, on the one hand, the volume of bentonite expands after water adsorption, which is easy to form muddy mud. Then the water turbidity increases and it is difficult to form precipitation to recover bentonite. Granular bentonite leads to the decrease of specific surface area and porosity, leading to lower adsorption capacity (<xref ref-type="bibr" rid="B9">Haciosmanoglu et al., 2022</xref>). On the other hand, for the low concentration of phosphorus-containing wastewater, it is often difficult to meet the phosphate discharge standard of wastewater by adsorption method (<xref ref-type="bibr" rid="B11">Hnamte and Pulikkal, 2022</xref>). Based on the above situation, loading La modified bentonite into ultrafiltration membrane has the opportunity to capture low phosphate concentration by cross-flow filtration. There have been studies that utilized the combination of eco-friendly adsorbent and organic membrane for water treatment and achieved satisfactory results (<xref ref-type="bibr" rid="B23">Sabarish and Unnikrishnan, 2018</xref>; <xref ref-type="bibr" rid="B20">Radoor et al., 2025</xref>).</p>
<p>In this study, PVC-LaBT was prepared through La modification of bentonite and phase inversion method. Pure PVC membrane and PVC membrane loaded with natural bentonite were also prepared for performance comparison. The experiments showed that the addition of La modified bentonite increased the phosphate removal efficiency of the composite membrane by about 3 times. The novel PVC-LaBT also solved the solid-liquid separation problem during the adsorption process.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Raw materials</title>
<p>Bentonite was supplied by Hebei Lingshou Dehang Mine Products Co. Ltd., China. Chemically pure La(NO<sub>3</sub>)<sub>3</sub>&#xb7;6H<sub>2</sub>O, NaOH, polyvinyl chloride (PVC), N-methyl-2-pyrrolidone (NMP) and other chemicals were analytical grade and supplied by Sino pharm Chemical Reagent Co., Ltd., China. Dried KH<sub>2</sub>PO<sub>4</sub> was used for preparing phosphate stock solution (1,000 mg&#xb7;L<sup>&#x2212;1</sup>). The working solutions of experiments were prepared by diluting above stock solution.</p>
</sec>
<sec id="s2-2">
<title>2.2 Preparation of PVC-LaBT</title>
<p>Preparation of LaBT: First, 25 g of bentonite was added into 250 mL of 2% La<sup>3&#x2b;</sup> solution and stirred magnetically for 3 h at room temperature. Next, the pH of the mixture was adjusted to about 8.0 by 1 mol&#xb7;L<sup>&#x2212;1</sup> of NaOH solution, and then the mixture was stirred for another 2 h for sufficient precipitation reaction. Then, the solid particles were obtained by centrifugation at 8,000 rpm, washed three times and dried in a vacuum oven at 60&#xb0;C. Finally, the solid particles were ground, screened through 200 mesh, labeled as LaBT and store for usage.</p>
<p>Preparation of La modified bentonite doped PVC membrane (PVC-LaBT) (<xref ref-type="bibr" rid="B31">Xi et al., 2023</xref>; <xref ref-type="bibr" rid="B32">Zhang et al., 2024</xref>): First, 5 g of LaBT was slowly added to 45 g of NMP. The mixture was magnetically stirred for 2 h at room temperature to form a stable suspension. Then, 5.0 g of PVC was slowly added to the suspension with magnetic stirring for 5 h until PVC was completely dissolved. Then it was sonicated for 1 h and vacuum degassed for 0.5 h to remove bubbles in the solution. After that, the adjustable casting device was set to 200 &#x3bc;m, placed on the automatic casting machine and casted the mixed solution on the smooth glass plate (<xref ref-type="bibr" rid="B31">Xi et al., 2023</xref>; <xref ref-type="bibr" rid="B32">Zhang et al., 2024</xref>). Then the glass plate was immediately put into pure water to form membrane. It was placed in pure water for 24 h to ensure sufficient solvent replacement. Finally, the prepared membrane was naturally dried and labeled as PVC-LaBT for further experiments. The preparation method of PVC-LaBT is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Illustration for the fabrication process of <bold>(a)</bold> LaBT and <bold>(b)</bold> PVC-LaBT.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating the process of ion exchange and membrane casting. Part (a) shows ion exchange with bentonite transforming into LaBT, featuring La&#xB3;&#x207A; and other ions like Na&#x207A;, K&#x207A;, Ca&#xB2;&#x207A;, and Mg&#xB2;&#x207A;. Part (b) details the membrane casting process with a casting solution apparatus and immersion in water, resulting in a structure formed with LaBT, PVC, and PVC chains surrounded by organic solvent and water molecules.</alt-text>
</graphic>
</fig>
<p>In addition, the pure PVC membrane (PVC) and the PVC membrane supplemented with unmodified bentonite (PVC-BT) were prepared in the same way for comparation.</p>
</sec>
<sec id="s2-3">
<title>2.3 Microstructural characterization</title>
<p>In this experiment, the microstructural characterizations of as-obtained membranes were analyzed by scanning electron microscopy (SEM) and atomic force microscope (AFM).</p>
<p>The field emission scanning electron microscope (Hitachi Regulus-8100, Japan) was used to analyze the microscopic morphology of the sample sections. The acceleration voltage was 15 kV and the ratio was 15&#x2013;60,000 times. The processing requirements of the membrane sample are as follows. The three kinds of membrane samples were pulled off by hand or cut with scissors, and then sprayed with gold. The sample sections were scanned at different magnifications to obtain the SEM images of the membrane sample sections. The microscopic morphologies, pore structures and approximate thickness of the membrane samples can be analyzed.</p>
<p>The roughness of the membranes was characterized by atomic force microscope (AFM, Bruker Dimension Icon, America). Roughness is the key index to measure the surface fluctuation degree of the membrane material. Usually, the greater the roughness of the membrane, the better its adsorption performance. In this study, the atomic force microscope scanning images of the composite membranes were obtained, and the average roughness (Ra) and the root mean square roughness (Rq) of the membrane surfaces were analyzed.</p>
</sec>
<sec id="s2-4">
<title>2.4 Performance testing</title>
<p>In this study, the adsorption and filtration properties of as obtained membranes were tested with the triple high pressure plate membrane testing equipment. The effective membrane area was 70 cm<sup>2</sup>. The frequency of the triple high pressure plate membrane testing equipment was adjusted to 10 Hz. The solution filtration volume per unit of time were measured without applied pressure and the pure water flux (<italic>J</italic>, L&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>) of the composite membranes was calculated by the following <xref ref-type="disp-formula" rid="e1">Equation 1</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>J</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>V</italic> is the filtration volume (L), <italic>S</italic> is the effective area of membrane filtration (m<sup>2</sup>) and <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the filtration time (h).</p>
<p>The phosphate stock solution was diluted to different concentrations (1 mg&#xb7;L<sup>&#x2212;1</sup> and 5 mg&#xb7;L<sup>&#x2212;1</sup>). 3000 mL of diluted phosphate solution was added to the water tank of the equipment at room temperature (25&#xb0;C). Then the frequency was adjusted to 10 Hz. The solution was cycled through cross flow mode without applied pressure. 10 mL of water samples were taken at certain intervals, and the phosphate concentrations were detected through phosphorus-molybdenum blue spectrophotometry. In addition, the effects of different pH and coexisting salt ions on the phosphate adsorption performance of PVC-LaBT were analyzed.</p>
<p>The equilibrium adsorption capacity (<italic>q</italic>
<sub>
<italic>e</italic>
</sub>, mg&#xb7;m<sup>&#x2212;2</sup>) and adsorption capacity at time t (<italic>q</italic>
<sub>
<italic>t</italic>
</sub>, mg&#xb7;m<sup>&#x2212;2</sup>) were calculated by using the <xref ref-type="disp-formula" rid="e2">Equations 2</xref>, <xref ref-type="disp-formula" rid="e3">3</xref> respectively below:<disp-formula id="e2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mi>S</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>C</italic>
<sub>
<italic>0</italic>
</sub> (mg&#xb7;L<sup>&#x2212;1</sup>), <italic>C</italic>
<sub>
<italic>e</italic>
</sub> (mg&#xb7;L<sup>&#x2212;1</sup>), and <italic>C</italic>
<sub>
<italic>t</italic>
</sub> (mg&#xb7;L<sup>&#x2212;1</sup>) are initial phosphate concentration, equilibrium phosphate concentration and phosphate concentration at time <italic>t</italic> (h), <italic>V</italic> is the filtration volume (L) and <italic>S</italic> is the effective area of membrane filtration (m<sup>2</sup>).</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Characterization of prepared membranes</title>
<sec id="s3-1-1">
<title>3.1.1 SEM images</title>
<p>To compare the internal microstructures of PVC, PVC-BT and PVC-LaBT, cross sections of these membranes are shown in <xref ref-type="fig" rid="F2">Figure 2</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The SEM images of cross sections of <bold>(a1-a4)</bold> PVC, <bold>(b1-b4)</bold> PVC-BT and <bold>(c1-c4)</bold> PVC-LaBT.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g002.tif">
<alt-text content-type="machine-generated">Series of electron microscope images showing porous structures with varying magnifications. Images (a1-c1) reveal pores ranging from 46 to 116 micrometers. Images (a2-c2) highlight finer details from 10 to 2 micrometers, with annotations such as BT and La-BT indicating specific areas. Images (a3-c3) and (a4-c4) further focus on intricate layers, with features measured in micrometers, demonstrating different pore sizes and formations. Yellow arrows indicate transitions between images.</alt-text>
</graphic>
</fig>
<p>As can be seen from <xref ref-type="fig" rid="F2">Figures 2a1&#x2013;c1</xref>, the thickness of PVC membrane is about 50 &#x3bc;m, while that of PVC-BT and PVC-LaBT were 100 &#x3bc;m and 116 &#x3bc;m respectively. All three membranes were prepared by 200 &#x3bc;m applicator, but the thickness of the finished membranes is less than 200 &#x3bc;m. This is because the membranes shrunk during the process of phase conversion. During the experiment, we also optimized the thickness of the membrane. When the thickness was 100 or 150 &#x3bc;m, the membrane was prone to breakage during the casting process, and small holes were likely to appear on the membrane surface. When the thickness exceeded 200 &#x3bc;m, due to the high fluidity of the casting solution, the scraper was unable to evenly smooth the surface of the membrane.</p>
<p>Furthermore, the addition of adsorbent increased the viscosity of PVC solution, which reduced the contraction space of the membrane during phase conversion process. Therefore, the thickness of PVC-BT and PVC-LaBT is larger than that of pure PVC membrane.</p>
<p>By observing the structure of the membrane sections, it can be seen that there are some channels in PVC membrane, but the number and size are both small. The cross section of PVC-BT shows a mesh structure, but the pore size is small. There are numerous of pores with large size distributes in the internal of PVC-LaBT.</p>
<p>To compare the internal microstructures of PVC, PVC-BT and PVC-LaBT, cross sections of the three membranes were visualized by 5,000&#xd7;, 100,00&#xd7; and 2,000&#xd7; under a SEM. As can be seen from <xref ref-type="fig" rid="F2">Figure 2a2,a3</xref>, there are few pores with small sizes in pure PVC membranes. These pores are irregular in shape and have thick walls. According to <xref ref-type="fig" rid="F2">Figure 2a4</xref>, when the inner wall of the pores was observed by 200,00&#xd7;, only a small part of the inner wall has pores with small size, while there are nearly no pores can be found to distribute over most of the inner wall. As can be seen from <xref ref-type="fig" rid="F2">Figures 2b2&#x2013;b4</xref>, the interior of PVC-BT membrane has a porous mesh structure. These pores are relatively numerous, with small size and irregular shape. <xref ref-type="fig" rid="F2">Figures 2c2&#x2013;c4</xref> shows that the interior of PVC-LaBT shows a loose porous structure. The pores have a irregular shape. Compared to the PVC and PVC-BT membranes, the PVC-LaBT membrane has a large internal aperture, wide and dense distribution, and very thin pore walls.</p>
<p>The comparison of SEM images shows that PVC-LaBT has the most internal pores with large size, which indicates that the specific surface area of PVC-LaBT is the largest. Compared to PVC-LaBT, the internal pore size of PVC-BT is smaller. This is because after the modification of bentonite, La<sup>3&#x2b;</sup> enters the interlayer of bentonite through ion exchange, increasing the interlayer spacing and improving the specific surface area, resulting in larger membrane pore size. Compared with the composite membrane, the pores of pure PVC membrane without adding matrix are the least, indicating that the addition of bentonite can improve the specific surface area of the PVC membrane.</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 AFM characterizations</title>
<p>2D and 3D atomic force microscope (AFM) test images were obtained to observe and compare the surface roughness and morphology of PVC, PVC-BT and PVC-LaBT membranes. The data were analyzed to obtain the parameters of different membrane surface such as average roughness (Ra), maximum height roughness (Rmax) and root mean square roughness (Rq).</p>
<p>According to <xref ref-type="fig" rid="F3">Figures 3a1, a2</xref>, the pure PVC membrane has a smooth surface, with small and uniform surface particles. After PVC AFM data analysis, we obtained its Ra of 8.5 nm, Rq of 10.7 nm and Rmax of 90.3 nm. As can be seen from <xref ref-type="fig" rid="F3">Figures 3b1, b2</xref>, the surface of PVC-BT is relatively rough. Compared with PVC, the surface particles distribute more unevenly. After PVC-BT AFM data analysis, we obtained its Ra of 9.7 nm, Rq of 12.6 nm and Rmax of 122.0 nm. <xref ref-type="fig" rid="F3">Figures 3c1, c2</xref> shows that the surface of PVC-LaBT is the roughest, which is due to the wide disparity between surface particle sizes. Furthermore, the distribution of surface particles is the most uneven. The AFM data of PVC-LaBT analyzed Ra of 12.2 nm, Rq of 15.7 nm, and Rmax of 170.0 nm. The surface roughness information of PVC, PVC-BT and PVC-LaBT membranes were filled in <xref ref-type="table" rid="T1">Table 1</xref> for comparison.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>2D and 3D AFM test images of <bold>(a1, a2)</bold> PVC membrane, <bold>(b1, b2)</bold> PVC-BT membrane and <bold>(c1, c2)</bold> PVC-LaBT membrane.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g003.tif">
<alt-text content-type="machine-generated">Three sets of atomic force microscopy images display surface textures at different scales. Each set has two parts: (a1, b1, c1) show height sensor images with a scale of one point zero micrometers, while (a2, b2, c2) depict corresponding three-dimensional surface plots with varying height scales. Each image pair features a gradient bar for height reference.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Surface roughness information of three membranes.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Membrane sample</th>
<th align="center">Ra (nm)</th>
<th align="center">Rq (nm)</th>
<th align="center">Rmax (nm)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">PVC</td>
<td align="center">8.5</td>
<td align="center">10.7</td>
<td align="center">90.3</td>
</tr>
<tr>
<td align="center">PVC-BT</td>
<td align="center">9.7</td>
<td align="center">12.6</td>
<td align="center">122.0</td>
</tr>
<tr>
<td align="center">PVC-LaBT</td>
<td align="center">12.2</td>
<td align="center">15.7</td>
<td align="center">170.0</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In conclusion, PVC-LaBT has the largest surface roughness, followed by PVC-BT and PVC membranes. According to the comparison of the Ra value of the three membranes, the roughness of PVC-BT is only 14.5% larger than that of pure PVC membrane, while that of PVC-LaBT is 29% higher than that of pure PVC membrane. From this information, it can be inferred that compared to PVC and PVC-BT membranes, PVC-LaBT has the largest specific surface area and the best adsorption performance.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Pure water flux test</title>
<p>As can be seen from <xref ref-type="fig" rid="F4">Figure 4</xref>, the pure water flux of PVC, PVC-BT and PVC-LaBT are 136, 149 and 294 L&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>, respectively. PVC-LaBT has the largest pure water flux, which is about once higher than that of PVC and PVC-BT. This may be due to the enhancement of hydrophilicity, larger porosity and specific surface area of PVC-LaBT. Relevant studies have also yielded similar results (<xref ref-type="bibr" rid="B25">Shen et al., 2024</xref>; <xref ref-type="bibr" rid="B18">Pan et al., 2023</xref>). The excellent filtration performance of PVC-LaBT contributes to the enrichment and capture of phosphate from aqueous solution.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Pure water flux of three membranes.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g004.tif">
<alt-text content-type="machine-generated">Bar chart depicting water flux comparison among three materials: PVC, PVC-BT, and PVC-LaBT. The y-axis shows water flux in liters per square meter per hour, ranging from 0 to 300. PVC and PVC-BT show similar flux around 100, while PVC-LaBT reaches approximately 270, significantly higher. Error bars are present for all materials.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Phosphate filtration-adsorption performance</title>
<sec id="s3-3-1">
<title>3.3.1 Adsorption properties of different membranes</title>
<p>To compare the performance of different membranes, 1 mg&#xb7;L<sup>&#x2212;1</sup> of phosphate cross flowed through PVC, PVC-BT and PVC-LaBT. The phosphate concentration (<italic>C</italic>
<sub>t</sub>) was tested every hour for 8 h. The experimental results are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Phosphate concentration over time treated by different membranes.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g005.tif">
<alt-text content-type="machine-generated">Line graph showing concentration \( C_t \) in milligrams per liter versus time \( T \) in hours. Three data sets are plotted: PVC (squares), PVC-BT (circles), and PVC-LaBT (triangles). PVC and PVC-BT show a gradual decrease, stabilizing after four hours. PVC-LaBT shows a more rapid decline, reaching near zero by six hours. Error bars are included for all data points.</alt-text>
</graphic>
</fig>
<p>As can be seen from <xref ref-type="fig" rid="F5">Figure 5</xref>, the three kinds of membranes all have a high phosphate adsorption rate in the first 3 h, among which the adsorption rate of PVC-LaBT was the highest. After 3 h, the <italic>C</italic>
<sub>t</sub> of the solution treated by PVC, PVC-BT and PVC-LaBT were 0.75, 0.65 and 0.30 mg&#xb7;L<sup>&#x2212;1</sup> respectively. Since then, the adsorption rate has decreased, and after 7 h, the adsorption process basically entered the adsorption-desorption equilibrium stage. Finally, the <italic>C</italic>
<sub>t</sub> of the solution treated by PVC, PVC-BT and PVC-LaBT were 0.70, 0.50 and 0.10 mg&#xb7;L<sup>&#x2212;1</sup> respectively. This is partly because the solubility product constant (pK<sub>sp</sub>) of La-phosphate is large, which enhances the chemical adsorption, and on the other hand the intercalation of La ions results in larger interlayer space and porosity, thus providing more attachment sites (<xref ref-type="bibr" rid="B10">He et al., 2022</xref>).</p>
<p>Because SA-LaBT has the best filtration-adsorption performance, it was selected for subsequent influencing factor, adsorption kinetic and isotherm experiments.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Effect of solution pH</title>
<p>Phosphorus-containing wastewater mainly includes municipal sewage, acid pickling and phosphorization wastewater, and wastewater from the phosphorus chemical industry, etc. Their pH values are usually between 3 and 11. To find the effect of solution pH on the filtration-adsorption performance of phosphate by PVC-LaBT. The pH of 1 mg&#xb7;L<sup>&#x2212;1</sup> phosphate solution was adjusted with 1 mol&#xb7;L<sup>&#x2212;1</sup> HNO<sub>3</sub> solution or NaOH solution to 3, 5, 7, 9 and 11. The filtration-adsorption experiments were performed by using PVC-LaBT and phosphate solution with different pHs. The experimental results are shown in <xref ref-type="fig" rid="F6">Figure 6a</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<italic>C</italic>
<sub>t</sub> after 4 h and 8 h under the influence of <bold>(a)</bold> pH and <bold>(b)</bold> coexisting anions.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g006.tif">
<alt-text content-type="machine-generated">Bar graphs showing the effect of pH levels and coexisting anions on concentration. Graph (a) depicts concentrations at pH levels 3, 5, 7, 9, and 11, with higher concentrations at pH 9 and 11. Graph (b) shows concentrations with blank, chloride, nitrate, sulfate, and carbonate anions, with the highest concentration seen with carbonate.</alt-text>
</graphic>
</fig>
<p>According to <xref ref-type="fig" rid="F6">Figure 6a</xref>, the adsorption capacity of PVC-LaBT was excellent under acidic conditions. The <italic>C</italic>
<sub>t</sub> decreased to 0.3 mg&#xb7;L<sup>&#x2212;1</sup> and 0.1 mg&#xb7;L<sup>&#x2212;1</sup> after 4 h and 8 h, respectively. When solution pH &#x2265; 7.0, the adsorption capacity of PVC-LaBT weakened with the increment of pH. When the solution was neutral, the <italic>C</italic>
<sub>t</sub> decreased to 0.3 mg&#xb7;L<sup>&#x2212;1</sup> and 0.2 mg&#xb7;L<sup>&#x2212;1</sup> after 4 h and 8 h, respectively. The performance decline was not obvious. However, when pH was 9.0, the adsorption performance decreased rapidly. After 8 h, the <italic>C</italic>
<sub>t</sub> decreased only from 1.0 mg&#xb7;L<sup>&#x2212;1</sup> to 0.6 mg&#xb7;L<sup>&#x2212;1</sup>, with the removal efficiency of only 40%. When pH was 11.0, the adsorption performance was completely lost. The reason for the drastic decrement in the performance of PVC-LaBT in the alkaline solution may be caused by the OH<sup>&#x2212;</sup> competing with PO<sub>4</sub>
<sup>3&#x2212;</sup> for the adsorption site (<xref ref-type="bibr" rid="B36">Zhang Y. et al., 2022</xref>).</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Effect of coexisting anions</title>
<p>To explore the effect of coexisting anions on the performance of phosphate filtration by PVC-LaBT, 0.5 mmol KCl, KNO<sub>3</sub>, K<sub>2</sub>SO<sub>4</sub> and K<sub>2</sub>CO<sub>3</sub> were respectively added to the phosphate solution with a concentration of 1 mg&#xb7;L<sup>&#x2212;1</sup>. At this time, the molar mass of the coexisting anions in the solution was approximately 70 times the molar mass of the phosphate. The prepared phosphate solution containing coexisting anions passed through PVC-LaBT by cycle cross-flow mode and the <italic>C</italic>
<sub>t</sub> was tested after 4 h and 8 h. The experimental results are shown in <xref ref-type="fig" rid="F6">Figure 6b</xref>.</p>
<p>As can be seen from <xref ref-type="fig" rid="F6">Figure 6b</xref>, the order of anion inhibiting phosphate adsorption was: CO<sub>3</sub>
<sup>2&#x2212;</sup>&#x3e;SO<sub>4</sub>
<sup>2&#x2212;</sup>&#x3e;Cl<sup>&#x2212;</sup>&#x3e;NO<sub>3</sub>
<sup>&#x2212;</sup>. After 4 h, the <italic>C</italic>
<sub>t</sub> in the blank group decreased to 0.3 mg&#xb7;L<sup>&#x2212;1</sup>, as was the <italic>C</italic>
<sub>t</sub> in the solution containing NO<sub>3</sub>
<sup>&#x2212;</sup>. The <italic>C</italic>
<sub>t</sub> in the solutions containing Cl, SO<sub>4</sub>
<sup>2&#x2212;</sup> and CO<sub>3</sub>
<sup>2&#x2212;</sup> were 0.4 mg&#xb7;L<sup>&#x2212;1</sup>, 0.5 mg&#xb7;L<sup>&#x2212;1</sup> and 0.5 mg&#xb7;L<sup>&#x2212;1</sup> respectively. At this point, the inhibitory effect of anions was not obvious. However, after cross flow filtration for 8 h, the <italic>C</italic>
<sub>t</sub> in the solutions containing Cl, NO<sub>3</sub>
<sup>&#x2212;</sup>, SO<sub>4</sub>
<sup>2&#x2212;</sup> and CO<sub>3</sub>
<sup>2&#x2212;</sup> were 0.2 mg&#xb7;L<sup>&#x2212;1</sup>, 0.1 mg&#xb7;L<sup>&#x2212;1</sup>, 0.3 mg&#xb7;L<sup>&#x2212;1</sup> and 0.5 mg&#xb7;L<sup>&#x2212;1</sup> respectively. This shows that divalent anions inhibited phosphate adsorption more strongly, while monovalent anions were less inhibitory. This is because SO<sub>4</sub>
<sup>&#x2212;</sup> and CO<sub>3</sub>
<sup>2&#x2212;</sup> can complete for adsorption with the phosphate anions. However, the pK<sub>sp</sub> between Cl<sup>&#x2212;</sup> or NO<sub>3</sub>
<sup>&#x2212;</sup> and La<sub>3</sub>
<sup>&#x2212;</sup> is much smaller than that of PO<sub>4</sub>
<sup>3&#x2212;</sup> and La<sub>3</sub>
<sup>&#x2212;</sup>, so there is no significant inhibition on the adsorption of phosphate (<xref ref-type="bibr" rid="B6">Du et al., 2022</xref>).</p>
</sec>
<sec id="s3-3-4">
<title>3.3.4 Similar membranes comparison</title>
<p>In other studies, adsorbents have also been embedded into organic membranes for the treatment of phosphate. The relevant parameters are listed in <xref ref-type="table" rid="T2">Table 2</xref>. As can be seen from the table, PVC-LaBT has moderate water flux. It also has outstanding adsorption capacity for phosphate. In addition, PVC-LaBT has the advantages of simple preparation and low cost. Therefore, it is expected to be widely used.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Similar membranes comparison for phosphate adsorption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Membrane</th>
<th align="center">EM<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</th>
<th align="center">Pressure (bar)</th>
<th align="center">Water flux (L&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>)</th>
<th align="center">pH</th>
<th align="center">T<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref> (<sup>o</sup>C)</th>
<th align="center">IC<xref ref-type="table-fn" rid="Tfn3">
<sup>c</sup>
</xref> (mg&#xb7;L<sup>&#x2212;1</sup>)</th>
<th align="center">AD<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">La-based nanofiber membrane (<xref ref-type="bibr" rid="B12">Jia et al., 2022</xref>)</td>
<td align="center">Batch adsorption</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">4&#x2013;10</td>
<td align="center">15&#x2013;45</td>
<td align="center">1&#x2013;100</td>
<td align="center">50 mg.g<sup>&#x2212;1</sup>
</td>
</tr>
<tr>
<td align="left">UiO-66(Zr)-NH2/PVC membrane (<xref ref-type="bibr" rid="B19">Pan et al., 2022a</xref>)</td>
<td align="center">Adsorptive ultrafiltration</td>
<td align="center">1</td>
<td align="center">267</td>
<td align="center">3&#x2013;9</td>
<td align="center">25</td>
<td align="center">10</td>
<td align="center">30 mg.g<sup>&#x2212;1</sup>
</td>
</tr>
<tr>
<td align="left">LC@MWCNTs membrane (<xref ref-type="bibr" rid="B13">Liu et al., 2024</xref>)</td>
<td align="center">dead-end filtration</td>
<td align="center">0.2&#x2013;1.6</td>
<td align="center">282</td>
<td align="center">5</td>
<td align="center">20</td>
<td align="center">1&#x2013;10</td>
<td align="center">&#x3e;80%</td>
</tr>
<tr>
<td align="left">Zr-modified-bentonite membrane (<xref ref-type="bibr" rid="B33">Zhang et al., 2023</xref>)</td>
<td align="center">Crossflow filtration</td>
<td align="center">0</td>
<td align="center">940</td>
<td align="center">3&#x2013;11</td>
<td align="center">20</td>
<td align="center">1&#x2013;5</td>
<td align="center">20.6 mg.g<sup>&#x2212;1</sup>
</td>
</tr>
<tr>
<td align="left">LDH membrane (<xref ref-type="bibr" rid="B7">Fang et al., 2023</xref>)</td>
<td align="center">Dead-end filtration</td>
<td align="center">&#x2014;</td>
<td align="center">32,337</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">2.0</td>
<td align="center">1,146.5 mg&#xb7;m<sup>&#x2212;2</sup>
</td>
</tr>
<tr>
<td align="left">PVC-LaBT (This work)</td>
<td align="center">Crossflow filtration</td>
<td align="center">0</td>
<td align="center">294</td>
<td align="center">3&#x2013;11</td>
<td align="center">25</td>
<td align="center">1</td>
<td align="center">244.1 mg&#xb7;m<sup>&#x2212;2</sup>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes:</p>
</fn>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>Experimental method.</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>Temperature.</p>
</fn>
<fn id="Tfn3">
<label>
<sup>c</sup>
</label>
<p>Initial concentration.</p>
</fn>
<fn id="Tfn4">
<label>
<sup>d</sup>
</label>
<p>Adsorption capacity.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Adsorption kinetic and isotherm</title>
<sec id="s3-4-1">
<title>3.4.1 Adsorption kinetic</title>
<p>In order to explore the adsorption kinetic of PVC-LaBT, the phosphate solution of 1 mg&#xb7;L<sup>&#x2212;1</sup> was recycled through PVC-LaBT. The phosphate concentrations were determined at different times. To understand the mechanisms of adsorption kinetics, the experimental data were fitted with the following five kinetic models (<xref ref-type="disp-formula" rid="e4">Equations 4</xref>&#x2013;<xref ref-type="disp-formula" rid="e8">8</xref>), (<xref ref-type="bibr" rid="B26">Simonin, 2016</xref>; <xref ref-type="bibr" rid="B3">Azizian, 2004</xref>; <xref ref-type="bibr" rid="B29">Wang and Guo, 2022</xref>):</p>
<p>Pseudo-first-order model:<disp-formula id="e4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Pseudo-second-order model:<disp-formula id="e5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Richie n<sup>th</sup>-order model:<disp-formula id="e6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mfrac bevelled="true">
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>Elovich model:<disp-formula id="e7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="italic">ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>Intraparticle diffusion model:<disp-formula id="e8">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mi>t</mml:mi>
<mml:mn>0.5</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <italic>k</italic>
<sub>
<italic>1</italic>
</sub> (1&#xb7;h<sup>&#x2212;1</sup>), <italic>k</italic>
<sub>
<italic>2</italic>
</sub> (m<sup>2</sup>&#xb7;mg<sup>&#x2212;1</sup>&#xb7;h<sup>&#x2212;1</sup>) and <italic>k</italic>
<sub>
<italic>n</italic>
</sub> (m<sup>2(n&#x2212;1)</sup>&#x22c5;mg<sup>1&#x2212;n</sup>&#x22c5;h<sup>&#x2212;1</sup>) are the pseudo-first-order equilibrium rate constant, pseudo-second-order equilibrium rate constant and Ritchie nth-order equilibrium rate constant, respectively; n is a fitting parameter, dimensionless and without special significance; <italic>&#x3b1;</italic> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;1</sup>) is the adsorption rate at initial time, while <italic>&#x3b2;</italic> (m<sup>2</sup>&#x22c5;mg<sup>&#x2212;1</sup>) denotes the constant of desorption. <italic>k</italic>
<sub>
<italic>id</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>) is the rate constant of intraparticle diffusion and <italic>C</italic> (mg&#x22c5;m<sup>&#x2212;2</sup>) is determined by the thickness of boundary layer.</p>
<p>The experimental data fitting results are shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, and the corresponding kinetic parameters are listed in <xref ref-type="table" rid="T3">Table 3</xref>. As can be seen from <xref ref-type="fig" rid="F7">Figure 7</xref>, in the first 3 h, the phosphate adsorption capacity increased rapidly. In the following 3&#x2013;6 h, the increment speed of phosphate adsorption capacity became slow. In the next 6&#x2013;8 h, the adsorption capacity tended to stabilize, and the adsorption process basically reached equilibrium.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Phosphate adsorption kinetic of PVC-LaBT: <bold>(a)</bold> pseudo-first-order, pseudo-second-order, Richie nth-order, Elovich models fitting and <bold>(b)</bold> intraparticle diffusion model fitting.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g007.tif">
<alt-text content-type="machine-generated">Two graphs depict experimental data. Graph (a) shows adsorption capacity \( q_t \) over time \( t \) with experimental data and four models: pseudo-first-order, pseudo-second-order, Richie nth-order, and Elovich. Graph (b) plots \( q_t \) against \( t^{0.5} \), illustrating intraparticle diffusion, with a linear trend alongside experimental data. Both graphs use black dots for data points and colored lines for model fits.</alt-text>
</graphic>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Kinetic model parameters obtained from adsorption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Kinetic model</th>
<th align="left">Parameter</th>
<th align="left">Value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">Pseudo-first-order</td>
<td align="left">
<italic>k</italic>
<sub>
<italic>1</italic>
</sub> (h<sup>&#x2212;1</sup>)</td>
<td align="left">0.3954</td>
</tr>
<tr>
<td align="left">
<italic>q</italic>
<sub>
<italic>e,cal</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">136.15</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9967</td>
</tr>
<tr>
<td rowspan="3" align="left">Pseudo-second-order</td>
<td align="left">
<italic>k</italic>
<sub>
<italic>2</italic>
</sub> (m<sup>2</sup>&#x22c5;mg<sup>&#x2212;1</sup>&#x22c5;h<sup>&#x2212;1</sup>)</td>
<td align="left">0.0020</td>
</tr>
<tr>
<td align="left">
<italic>q</italic>
<sub>
<italic>e,cal</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">179.97</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9932</td>
</tr>
<tr>
<td rowspan="5" align="left">Richie nth-order</td>
<td align="left">
<italic>k</italic>
<sub>
<italic>n</italic>
</sub> (m<sup>2(n&#x2212;1)</sup>&#x22c5;mg<sup>1&#x2212;n</sup>&#x22c5;h<sup>&#x2212;1</sup>)</td>
<td align="left">0.3921</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b2;</italic> (m<sup>2</sup>&#x22c5;mg<sup>&#x2212;1</sup>)</td>
<td align="left">1.0004</td>
</tr>
<tr>
<td align="left">
<italic>n</italic>
</td>
<td align="left">0.8686</td>
</tr>
<tr>
<td align="left">
<italic>q</italic>
<sub>
<italic>e,cal</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">131.73</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9969</td>
</tr>
<tr>
<td rowspan="3" align="left">Elovich</td>
<td align="left">
<italic>&#x3b1;</italic> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;1</sup>)</td>
<td align="left">122.9588</td>
</tr>
<tr>
<td align="left">
<italic>&#x3b2;</italic> (m<sup>2</sup>&#x22c5;mg<sup>&#x2212;1</sup>)</td>
<td align="left">0.02361</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9923</td>
</tr>
<tr>
<td rowspan="9" align="left">Intraparticle diffusion</td>
<td align="left">
<italic>k</italic>
<sub>
<italic>id1</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>)</td>
<td align="left">55.7865</td>
</tr>
<tr>
<td align="left">
<italic>C</italic>
<sub>
<italic>1</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">&#x2212;4.2543</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9704</td>
</tr>
<tr>
<td align="left">
<italic>k</italic>
<sub>
<italic>id2</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>)</td>
<td align="left">32.7635</td>
</tr>
<tr>
<td align="left">
<italic>C</italic>
<sub>
<italic>2</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">42.8391</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.9842</td>
</tr>
<tr>
<td align="left">
<italic>k</italic>
<sub>
<italic>id3</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>)</td>
<td align="left">13.3035</td>
</tr>
<tr>
<td align="left">
<italic>C</italic>
<sub>
<italic>3</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</td>
<td align="left">92.2456</td>
</tr>
<tr>
<td align="left">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="left">0.8698</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The parameters listed in <xref ref-type="table" rid="T3">Table 3</xref> show that the Pseudo-first-order, Pseudo-second-order, Richie nth-order and Elovich models all have high R<sup>2</sup> values, among which the Richie nth-order model has the highest R<sup>2</sup> coefficient (0.9969), indicating that the adsorption of phosphate by PVC-LaBT is controlled by various mechanisms, including chemical adsorption, electrostatic attraction, hydrogen bonding and outer-sphere complex formation (<xref ref-type="bibr" rid="B17">Pan W. et al., 2022</xref>). Moreover, the theoretical adsorption capacity calculated by the Richie nth-order model (131.73 mg&#x22c5;m<sup>&#x2212;2</sup>) basically agrees with the experimental adsorption capacity value (129.29 mg&#x22c5;m<sup>&#x2212;2</sup>).</p>
<p>Furthermore, to elucidate the diffusion mechanism of phosphate during adsorption, the kinetic data were fitted to Intraparticle diffusion model with three linear regions. The data are shown in <xref ref-type="fig" rid="F7">Figure 7b</xref> and <xref ref-type="table" rid="T3">Table 3</xref>. This plot exhibits a multilinear morphology that can be divided into three linear regions, suggesting that intra-particle diffusion is not the only rate-control step for the entire reaction (<xref ref-type="bibr" rid="B15">Luo et al., 2021</xref>). The <italic>k</italic>
<sub>
<italic>id1</italic>
</sub> value was 55.7865 mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>, indicating that the adsorption rate is the highest in the first stage, during which the phosphate ions were adsorbed to the surface PVC-LaBT. The slope of the second linear region decreased, with <italic>k</italic>
<sub>
<italic>id2</italic>
</sub> value being 32.7635 mg&#x22c5;m<sup>&#x2212;2</sup>&#x22c5;h<sup>&#x2212;0.5</sup>, demonstrating that the adsorption rate at this stage was controlled by intra-particle or pore diffusion. The last linear region flattened out, exhibiting the last equilibrium phase.</p>
</sec>
<sec id="s3-4-2">
<title>3.4.2 Adsorption isotherm</title>
<p>The isotherm experiments were performed by putting PVC-LaBT in the triple high pressure plate membrane testing equipment and cycle the phosphate solution of different initial concentrations (1, 2, 3, 4 and 5 mg&#x22c5;L<sup>&#x2212;1</sup>). The phosphate concentrations were tested after 20 h, and thus the phosphate adsorption capacities were calculated. At last, the experimental data were fitted with Langmuir and Freundlich models using <xref ref-type="disp-formula" rid="e9">Equations 9</xref>, <xref ref-type="disp-formula" rid="e10">10</xref> respectively listed below, in order to analyze the adsorption mechanism and predict the maximum adsorption capacity (<xref ref-type="bibr" rid="B28">Wang and Guo, 2020</xref>; <xref ref-type="bibr" rid="B8">Foo and Hameed, 2010</xref>).</p>
<p>Langmuir model:<disp-formula id="e9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>q</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>Freundlich model:<disp-formula id="e10">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">q</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi>n</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where <italic>K</italic>
<sub>
<italic>L</italic>
</sub> (L&#x22c5;mg<sup>&#x2212;1</sup>) and <italic>K</italic>
<sub>
<italic>F</italic>
</sub> (mg<sup>(1&#x2212;1/n)</sup>&#xb7;L<sup>1/n</sup>&#xb7;m<sup>&#x2212;2</sup>) are the Langmuir adsorption equilibrium constant and the affinity parameter of Freundlich model respectively; <italic>q</italic>
<sub>
<italic>m</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>) indicates the Langmuir maximum adsorption capacity; n is the Freundlich linearity constant.</p>
<p>According to <xref ref-type="fig" rid="F8">Figure 8</xref>, the phosphate adsorption capacity of PVC-LaBT is gradually increased as the initial phosphate concentration increased from 1 mg&#x22c5;L<sup>&#x2212;1</sup> to 5 mg&#x22c5;L<sup>&#x2212;1</sup>. The obtained isotherm parameters are tabulated in <xref ref-type="table" rid="T4">Table 4</xref>. The fitting degree of the model is mainly based on the value of R<sup>2</sup>. Generally, the higher the value of R<sup>2</sup> indicates the better a fit is. <xref ref-type="table" rid="T4">Table 4</xref> shows that the Langmuir model gives a high correlation coefficient R<sup>2</sup> (0.9820), indicating that the adsorption system was mainly monolayer and the phosphate ions dispersed uniformly on the active sites of PVC-LaBT without interaction (<xref ref-type="bibr" rid="B1">Abukhadra and Mostafa, 2019</xref>). However, the Freundlich model (R<sup>2</sup> &#x3d; 0.9493) is not negligible. This indicates that there is also a multi-layer adsorption phenomenon with heterogeneous surfaces in the PVC-LaBT. That is to say, a portion of the adsorption active sites on the PVC-LaBT surface are unevenly distributed, which can lead to the phenomenon of active site stacking (<xref ref-type="bibr" rid="B30">Wang L. et al., 2023</xref>). Furthermore, the maximum adsorption capacity of PVC-LaBT predicted by Langmuir model was 244.09 mg&#x22c5;m<sup>&#x2212;2</sup>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Phosphate adsorption isotherm of PVC-LaBT fitting by Langmuir and Freundlich models.</p>
</caption>
<graphic xlink:href="fmats-12-1596814-g008.tif">
<alt-text content-type="machine-generated">Graph showing adsorption isotherms of \( q_e \) versus \( C_e \). Experimental data are marked with blue circles. A solid green line represents the Langmuir model, while a dashed red line represents the Freundlich model. Both models fit the experimental data closely, with Langmuir showing a slightly better fit. \( q_e \) is on the y-axis (100 to 260 mg&#xB7;m\(^2\)), and \( C_e \) is on the x-axis (0 to 3 mg&#xB7;L\(^{-1}\)).</alt-text>
</graphic>
</fig>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Isotherm model parameters obtained from adsorption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="3" align="center">Langmuir model</th>
<th colspan="3" align="center">Freundlich model</th>
</tr>
<tr>
<th align="center">
<italic>q</italic>
<sub>
<italic>m</italic>
</sub> (mg&#x22c5;m<sup>&#x2212;2</sup>)</th>
<th align="center">
<italic>K</italic>
<sub>
<italic>L</italic>
</sub> (L&#x22c5;mg<sup>&#x2212;1</sup>)</th>
<th align="center">R<sup>2</sup>
</th>
<th align="center">
<italic>K</italic>
<sub>
<italic>F</italic>
</sub> (mg<sup>(1&#x2212;1/n)</sup>&#xb7;L<sup>1/n</sup>&#xb7;m<sup>&#x2212;2</sup>)</th>
<th align="center">n</th>
<th align="center">R<sup>2</sup>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">244.09</td>
<td align="center">10.40</td>
<td align="center">0.9820</td>
<td align="center">205.95</td>
<td align="center">5.91</td>
<td align="center">0.9493</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>In this study, PVC-LaBT was prepared by chemical precipitation and phase conversion method for low concentration of phosphate removal. Compared with other adsorbents, PVC-LaBT has the advantages of low cost, simple preparation, high adsorption capacity, high selectivity and easy recovery. The pure water flux of PVC-LaBT is 294 L&#xb7;m<sup>&#x2212;2</sup>&#xb7;h<sup>&#x2212;1</sup>, much higher than that of PVC and PVC-BT. Using 1 mg&#xb7;L<sup>&#x2212;1</sup> phosphate solution, after treatment of 8 h by PVC-LaBT, phosphate concentration decreased to 0.1 mg&#xb7;L<sup>&#x2212;1</sup>. The adsorption process was favored in both neutral and acidic water environments. Coexist anions have limited influence on the adsorption properties. Adsorption kinetic models fitting shows that the adsorption process was controlled by different mechanisms. Adsorption isotherms can be better fitted with Langmuir model, indicating the adsorption process is monolayer and uniform, with the maximum adsorption capacity of 244.09 mg&#xb7;m<sup>&#x2212;2</sup>. PVC-LaBT is expected to be useful in low-concentration phosphate wastewater.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>HX: Conceptualization, Formal Analysis, Funding acquisition, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. XC: Data curation, Investigation, Writing &#x2013; review and editing. TS: Resources, Funding acquisition, Writing &#x2013; review and editing. LC: Supervision, Investigation, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. The authors would like to acknowledge the financial support from the Basic Science (Natural Science) Research Project of Jiangsu institutions of higher education (23KJB430023) and the research project of Nanjing Vocational Institute of Transport Technology (JZ2308).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Abukhadra</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Mostafa</surname>
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