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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.4" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Oalib</journal-id>
      <journal-title-group>
        <journal-title>Open Access Library Journal</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2333-9721</issn>
      <issn pub-type="ppub">2333-9705</issn>
      <publisher>
        <publisher-name>Scientific Research Publishing</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.4236/oalib.1114994</article-id>
      <article-id pub-id-type="publisher-id">Oalib-149980</article-id>
      <article-categories>
        <subj-group>
          <subject>Article</subject>
        </subj-group>
        <subj-group>
          <subject>Biomedical</subject>
          <subject>Life Sciences</subject>
          <subject>Business</subject>
          <subject>Economics</subject>
          <subject>Chemistry</subject>
          <subject>Materials Science</subject>
          <subject>Computer Science</subject>
          <subject>Communications</subject>
          <subject>Earth</subject>
          <subject>Environmental Sciences</subject>
          <subject>Engineering</subject>
          <subject>Medicine</subject>
          <subject>Healthcare</subject>
          <subject>Physics</subject>
          <subject>Mathematics</subject>
          <subject>Social Sciences</subject>
          <subject>Humanities</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Different Calcium Sources Used in HAP Reactions for Phosphorus Removal from Wastewater</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name name-style="western">
            <surname>Feng</surname>
            <given-names>Zizhuo</given-names>
          </name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
      </contrib-group>
      <aff id="aff1"><label>1</label> Key Laboratory of Beijing Water Quality Science and Water Environment Recovery Engineering, College of Architectural &amp; Civil Engineering, Beijing University of Technology, Beijing, China </aff>
      <author-notes>
        <fn fn-type="conflict" id="fn-conflict">
          <p>The author declares no conflicts of interest.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub">
        <day>28</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="collection">
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <volume>13</volume>
      <issue>03</issue>
      <fpage>1</fpage>
      <lpage>16</lpage>
      <history>
        <date date-type="received">
          <day>05</day>
          <month>02</month>
          <year>2026</year>
        </date>
        <date date-type="accepted">
          <day>03</day>
          <month>03</month>
          <year>2026</year>
        </date>
        <date date-type="published">
          <day>06</day>
          <month>03</month>
          <year>2026</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© 2026 by the authors and Scientific Research Publishing Inc.</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access">
          <license-p> This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link> ). </license-p>
        </license>
      </permissions>
      <self-uri content-type="doi" xlink:href="https://doi.org/10.4236/oalib.1114994">https://doi.org/10.4236/oalib.1114994</self-uri>
      <abstract>
        <p>The hydroxyapatite crystallization method (HAP) was employed as a phosphorus recovery technology to investigate the effects of different calcium sources on phosphorus removal and recovery from phosphorus-containing wastewater. The results indicate that when CaCl<sub>2</sub> was used as the sole calcium source, NaOH was required to be added during the reaction to maintain an alkaline environment, resulting in a <inline-formula><mml:math display="inline"></mml:math></inline-formula></p>
        <p>PO</p>
        <p>4</p>
        <p>3−</p>
        <p>-P</p>
        <p>removal efficiency exceeding 80%. When CaO was used as the sole calcium source, <inline-formula><mml:math display="inline"></mml:math></inline-formula></p>
        <p>PO</p>
        <p>4</p>
        <p>3−</p>
        <p>-P</p>
        <p>removal exceeded 70%; however, the supernatant pH increased to above 11 after the reaction. When CaCl<sub>2</sub>and CaO were combined as the calcium source, a CaCl<sub>2</sub>/CaO mass ratio of 2.6 resulted in a <inline-formula><mml:math display="inline"></mml:math></inline-formula></p>
        <p>PO</p>
        <p>4</p>
        <p>3−</p>
        <p>-P</p>
        <p>removal efficiency of approximately 80%, while the supernatant pH remained at 7.8 after the reaction. The proposed mixed CaCl<sub>2</sub>/CaO calcium source provides new insights into the HAP crystallization process and supports the integration of HAP crystallization with biological phosphorus removal technologies, thereby enabling the simultaneous recovery and reuse of phosphorus resources.</p>
      </abstract>
      <kwd-group kwd-group-type="author-generated" xml:lang="en">
        <kwd>Hydroxyapatite Crystallization Method (HAP)</kwd>
        <kwd>CaCl&lt;sub&gt;2&lt;/sub&gt;</kwd>
        <kwd>CaO</kwd>
        <kwd>Phosphorus Removal</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec1">
      <title>1. Introduction</title>
      <p>Phosphorus is a vital non-renewable resource that plays a crucial role in agriculture and industry. However, the world currently faces a widespread phosphorus crisis. Despite global phosphate rock reserves exceeding 30 billion tons, economically viable high-purity phosphate resources are extremely limited, with estimates suggesting these reserves may only meet demand for less than 50 years. Studies indicate that at current consumption rates, global phosphate reserves could be depleted within 100 to 400 years, leading to its classification as a critical mineral [<xref ref-type="bibr" rid="B1">1</xref>][<xref ref-type="bibr" rid="B2">2</xref>].</p>
      <p>Consequently, phosphorus enters water bodies through anthropogenic activities such as wastewater discharge and the excessive application of fertilizers and pesticides. Excessive phosphorus emissions cause eutrophication, a key factor in water quality deterioration and algal blooms [<xref ref-type="bibr" rid="B3">3</xref>]. In response, various treatment technologies, including biological methods, chemical precipitation, adsorption, and ion exchange, have been developed. Chemical precipitation is particularly effective for high-phosphorus wastewater streams (e.g., from livestock farming or sludge digestion) and also generates phosphate by-products, thereby enabling the recovery and regeneration of phosphorus resources [<xref ref-type="bibr" rid="B4">4</xref>].</p>
      <p>Among chemical precipitation methods, recovery in the form of hydroxyapatite (HAP) or magnesium ammonium phosphate (MAP) via crystallization is prominent. While MAP crystallization offers high efficiency and stability, it faces challenges such as higher costs and specific nitrogen requirements [<xref ref-type="bibr" rid="B5">5</xref>]. In contrast, the HAP process has emerged as a primary route for phosphorus recovery due to its lower cost and operational simplicity.</p>
      <p>HAP crystallization is a kinetic process involving nucleation and growth, influenced by factors such as pH, supersaturation, and temperature [<xref ref-type="bibr" rid="B5">5</xref>]. Calcium chloride (CaCl<sub>2</sub>) is commonly used as the calcium source, with NaOH typically added to maintain the alkaline pH necessary for efficient <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal and crystallization [<xref ref-type="bibr" rid="B6">6</xref>]. However, in practical applications, the use of high-concentration NaOH is limited by its corrosivity and the operational complexity associated with its continuous addition. To streamline the process, calcium oxide (CaO), a common alkaline substance, can be considered as an alternative [<xref ref-type="bibr" rid="B7">7</xref>]. Upon hydration, CaO provides both calcium ions and alkalinity, satisfying the key requirements for HAP formation. This property of CaO effectively eliminates the need for separate NaOH addition. Furthermore, studies have shown that calcination of precursors can yield highly crystalline and dispersed HAP nanoparticles [<xref ref-type="bibr" rid="B8">8</xref>]. A significant drawback of using CaO alone, however, is the persistently high alkalinity (pH &gt; 11) of the post-reaction supernatant, which complicates subsequent discharge or reuse. Considering the respective advantages and disadvantages of CaCl<sub>2</sub> and CaO, this study proposes a novel approach combining both calcium sources.</p>
      <p>The objectives of this study are: 1) to investigate the factors influencing HAP formation using CaCl<sub>2</sub> alone; 2) to investigate the factors influencing HAP formation using CaO alone; 3) to investigate the factors influencing HAP formation when CaO and CaCl<sub>2</sub> are combined, with the aim of eliminating the need for external alkali addition and reducing the final solution pH.</p>
    </sec>
    <sec id="sec2">
      <title>2. Materials and Methods</title>
      <sec id="sec2dot1">
        <title>2.1. Experimental Setup</title>
        <p>Using a magnetic stirring apparatus to investigate the performance of CaO alkalinity, as shown in <xref ref-type="fig" rid="fig1">Figure 1</xref><xref ref-type="fig" rid="fig1">Figure 1</xref>. The beaker has a volume of 1 L, equipped with an internal rotor to ensure thorough reaction. A pH meter is employed to monitor pH changes in the solution during dissolution.</p>
        <p>Batch experiments for HAP phosphorus recovery using a six-stage coagulation mixer (ZR4-6) were conducted. The schematic diagram of the apparatus is shown in <xref ref-type="fig" rid="fig2">Figure 2</xref><xref ref-type="fig" rid="fig2">Figure 2</xref>. Reaction conditions under various parameters were investigated, and the pH of the solution during dissolution was monitored using a pH meter. In these six-link coagulation mixer, each container is placed openly, and the agitator blades are vertical flat plates.</p>
        <fig id="fig1">
          <label>Figure 1</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId21.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig1">Figure 1</xref><bold>.</bold> Magnetic stirrer.</p>
        <fig id="fig2">
          <label>Figure 2</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId22.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig2">Figure 2</xref><bold>.</bold> Six-stage coagulation mixing unit.</p>
      </sec>
      <sec id="sec2dot2">
        <title>2.2. Experimental Materials</title>
        <p>In this experiment, simulated wastewater was used, <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> is provided solely by KH<sub>2</sub>PO<sub>4</sub>, without any Mg<sup>2+</sup>, NH<sup>4+</sup>, or carbonate, with a <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration ranging from 50 to 200 mg/L. OH<sup>−</sup> was supplied by a 2 mol/L NaOH solution. Additionally, the CaCl<sub>2</sub> and CaO used in the experiment were both analytical grade, with a purity exceeding 98%.</p>
      </sec>
      <sec id="sec2dot3">
        <title>2.3. Experimental Design</title>
        <p>The experimental temperature was maintained at 25˚C± 1˚C, and samples were taken immediately upon reaching the preset reaction time. The duration of sedimentation was calculated from the time stirring stopped, and the supernatant was collected 3 ± 1 cm below the liquid surface after static settling.</p>
        <p>2.3.1. Experiments with CaCl<sub>2</sub> as the Sole Calcium Source</p>
        <p>When CaCl<sub>2</sub> was used as the calcium source, <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal was investigated under the following conditions: 1) At a fixed Ca/P molar ratio of 1.6, solutions with initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentrations of 50, 100, 150, and 200 mg/L were prepared. The initial pH was adjusted to 9.5, and no alkali was added during the 15-minute stirring period, followed by precipitation. 2) With an initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration of 90 mg/L, Ca/P molar ratios were varied (1.6, 1.8, 2.0, 2.2, 2.4, 2.6). After 15 min of stirring and 1 h of precipitation, <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal and Ca<sup>2</sup>⁺ utilization rates were determined. 3) At Ca/P = 1.6 and initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> about 90 mg/L, experiments were conducted with and without the addition of 5 wt% calcite seed crystals. The pH was maintained near 9.5 by titrating with a 2 mol/L NaOH solution during the 15 min reaction. 4) Conditions were similar to 3), but the pH was maintained between 7 and 8.</p>
        <p>2.3.2. Experiments with CaO as the Sole Calcium Source</p>
        <p>1) Alkalinity contribution: Varying masses of CaO (0.01 - 0.05 g) were added to 200 mL deionized water under stirring, and the stabilized pH was recorded. 2) At Ca/P = 1.6 and initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentrations of 50 and 100 mg/L, reactions proceeded for 15 min followed by 1 h precipitation. 3) Six 500 mL samples of a saturated CaO solution (1.29 g/L) were prepared. KH<sub>2</sub>PO<sub>4</sub> was added to achieve Ca/P ratios from 1.6 to 2.6. After 15 min stirring and 1 h precipitation, <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal and final pH were measured.</p>
        <p>2.3.3. Experiments with a Blended CaCl<sub>2</sub>/CaO Calcium Source</p>
        <p>1) At a CaCl<sub>2</sub>/CaO mass ratio of 1:1 and initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> of 100 mg/L, residual <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> and pH were monitored over time. 2) The mass ratio was varied (1.0, 2.6, 3.4), and residual <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> and pH were measured after 15 min stirring and 1 h settling. 3) At an optimal mass ratio of 2.6, the effect of stirring speed (200, 250, 300, 350 rpm) on <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal was examined (initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> = 90 mg/L).</p>
      </sec>
      <sec id="sec2dot4">
        <title>2.4. Analytical Methods</title>
        <p>To ensure data reliability, three measurements were taken for each water sample, and the average value was calculated. Prior to analysis, all aqueous samples were filtered through a 0.45 μm polyethersulfone (PES) membrane. Orthophosphate (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> ) concentration was determined using standard methods [<xref ref-type="bibr" rid="B9">9</xref>]. pH was measured using a portable meter (Hach HQ40d, USA). The actual pH does not differ from the preset pH by more than 0.5.</p>
      </sec>
      <sec id="sec2dot5">
        <title>2.5. Calculation</title>
        <p>Phosphorus removal efficiency (%)</p>
        <disp-formula id="FD1">
          <label>(1)</label>
          <mml:math>
            <mml:mrow>
              <mml:mtext>Phosphorus removal efficiency</mml:mtext>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mtext>%</mml:mtext>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                  <mml:mo>−</mml:mo>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mn>1</mml:mn>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mn>0</mml:mn>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mi>%</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p><italic>C</italic><sub>0</sub> is the initial concentration of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> in the solution (mg/L), and <italic>C</italic><sub>1</sub> is the concentration of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> after the reaction (mg/L).</p>
        <p>Ca<sup>2+</sup> removal efficiency (%)</p>
        <disp-formula id="FD2">
          <label>(2)</label>
          <mml:math>
            <mml:mrow>
              <mml:msup>
                <mml:mrow>
                  <mml:mtext>Ca</mml:mtext>
                </mml:mrow>
                <mml:mrow>
                  <mml:mn>2</mml:mn>
                  <mml:mo>+</mml:mo>
                </mml:mrow>
              </mml:msup>
              <mml:mtext>removal efficiency</mml:mtext>
              <mml:mrow>
                <mml:mo>(</mml:mo>
                <mml:mtext>%</mml:mtext>
                <mml:mo>)</mml:mo>
              </mml:mrow>
              <mml:mo>=</mml:mo>
              <mml:mfrac>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mrow>
                      <mml:mn>0</mml:mn>
                      <mml:mo>'</mml:mo>
                    </mml:mrow>
                  </mml:msub>
                  <mml:mo>−</mml:mo>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mrow>
                      <mml:mn>1</mml:mn>
                      <mml:mo>'</mml:mo>
                    </mml:mrow>
                  </mml:msub>
                </mml:mrow>
                <mml:mrow>
                  <mml:msub>
                    <mml:mi>C</mml:mi>
                    <mml:mrow>
                      <mml:mn>0</mml:mn>
                      <mml:mo>'</mml:mo>
                    </mml:mrow>
                  </mml:msub>
                </mml:mrow>
              </mml:mfrac>
              <mml:mo>×</mml:mo>
              <mml:mn>100</mml:mn>
              <mml:mi>%</mml:mi>
            </mml:mrow>
          </mml:math>
        </disp-formula>
        <p>C<sub>0</sub><sub>'</sub> is the initial concentration of Ca<sup>2+</sup> in the solution (mg/L), and C<sub>1</sub><sub>'</sub> is the concentration of Ca<sup>2+</sup> after the reaction (mg/L).</p>
        <p>Ca/P Molar Ratio: Moles of Ca (molar mass 40) per mole of P (molar mass 31).</p>
      </sec>
    </sec>
    <sec id="sec3">
      <title>3. Results and Discussion</title>
      <sec id="sec3dot1">
        <title>
          3.1. Factors Affecting the Use of CaCl
          <sub>2</sub>
          in HAP Recovery Methods
        </title>
        <p>3.1.1. Initial P concentration Value</p>
        <p>Calcium was supplied as CaCl<sub>2</sub>, and the initial pH was adjusted to 9.5. No NaOH was added to control the pH during the reaction. As shown in <xref ref-type="fig" rid="fig3">Figure 3</xref><xref ref-type="fig" rid="fig3">Figure 3</xref>, the </p>
        <fig id="fig3">
          <label>Figure 3</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId61.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig3">Figure 3</xref><bold>.</bold> Reaction of CaCl<sub>2</sub> with different concentrations of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> .</p>
        <p><inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased significantly after 10 minutes of stirring at all concentrations tested. A higher initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration resulted in a more rapid decrease in <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration. For example, with an initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration of 50 mg/L, the removal rate after 10 minutes was only 22.53%. In contrast, at an initial concentration of 200 mg/L, the removal rate reached 57.68% within the same time period. This trend is consistent with the principle that higher initial reactant concentrations favor the forward progression of the reaction [<xref ref-type="bibr" rid="B10">10</xref>]. The reaction rate is directly proportional to the reactant concentration. Consequently, elevated phosphate concentrations increase the activity of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> in solution, thereby driving the reaction toward hydroxyapatite (HAP) formation. After stirring was ceased, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased slowly and exhibited fluctuations. This behavior can be attributed to intermediate phase transitions during HAP formation. Amorphous calcium phosphate (ACP) forms rapidly initially and then gradually converts to more stable phases, such as octacalcium phosphate (OCP) or dibasic calcium phosphate (DCPD), over prolonged reaction time [<xref ref-type="bibr" rid="B11">11</xref>]. Simultaneously, the adsorption of ions onto the surfaces of the formed HAP crystals contributed to fluctuations in the residual <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration. In summary, for the HAP crystallization process, a higher initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration yielded a higher removal rate within the same reaction period. Furthermore, even without the addition of NaOH for pH control during the reaction, <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rates of 50% - 60% were achievable.</p>
        <p>3.1.2. Ca/P Molar Ratio</p>
        <p>The effect of varying the Ca/P molar ratio on the reaction is presented in <xref ref-type="fig" rid="fig4">Figure 4</xref><xref ref-type="fig" rid="fig4">Figure 4</xref>. In these experiments, the initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration was fixed at 90 mg/L, and no NaOH was added for pH adjustment. When the Ca/P molar ratio was increased from 1.6 to 2.6, the effluent <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased from 60.80 mg/L to 45.81 mg/L, corresponding to an increase in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate from 34.71% to 48.45%. This improvement is attributed to the increased Ca<sup>2</sup>⁺ concentration, which enhances solution supersaturation. This, in turn, strengthens the crystallization kinetics and shifts the equilibrium toward the formation of hydroxyapatite (HAP). Consequently, at a fixed initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration, a greater proportion of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> ions are incorporated into HAP, leading to a lower final <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration [<xref ref-type="bibr" rid="B12">12</xref>]. Simultaneously, in the early stages of the reaction during the formation of precursors like amorphous calcium phosphate (ACP), Ca<sup>2+</sup> neutralizes surface charges. This reduction in electrostatic repulsion between particles accelerates nucleation, enhances <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> binding, and thereby improves the overall reaction efficiency.</p>
        <p>Furthermore, as the Ca/P molar ratio was raised, the calculated Ca<sup>2+</sup> removal rate exhibited a decreasing trend, declining from 33.26% to 27.34%. Although a higher Ca<sup>2+</sup> input promotes HAP formation and nucleation, an excessively high Ca<sup>2+</sup> concentration at a fixed <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> level significantly exceeds the stoichiometric requirement for HAP. This leads to incomplete utilization of Ca<sup>2</sup>⁺ and its </p>
        <fig id="fig4">
          <label>Figure 4</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId98.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig4">Figure 4</xref><bold>.</bold> Reaction behavior of CaCl<sub>2</sub> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> at different Ca/P molar ratios.</p>
        <p>residual accumulation, resulting in the precipitation of side products such as Ca(OH)<sub>2</sub> and CaCO<sub>3</sub> [<xref ref-type="bibr" rid="B13">13</xref>]. Consequently, the Ca<sup>2+</sup> removal rate shows an inverse relationship with its dosage. Therefore, to ensure high Ca<sup>2+</sup> utilization—<italic>i.e.</italic>, a low residual Ca<sup>2+</sup> concentration after the reaction—a Ca/P molar ratio of 1.6 was selected for subsequent experiments.</p>
        <p>3.1.3. pH and Seed Crystal Addition</p>
        <p>The reaction was conducted at a Ca/P molar ratio of 1.6 without seed crystals. A 2 mol/L NaOH solution was continuously added dropwise during the initial 15 minutes to maintain the pH at approximately 9.5. As shown in <xref ref-type="fig" rid="fig5">Figure 5</xref><xref ref-type="fig" rid="fig5">Figure 5</xref> for an initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration of 94.13 mg/L, the concentration decreased to 14.16 mg/L after 5 minutes. After 15 minutes, the concentration was 16.28 mg/L, and after 1 hour, it reached 14.82 mg/L. Under these pH-maintained conditions, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate reached 84%, which is significantly higher than the rate observed without NaOH replenishment.</p>
        <p>The formation of HAP is significantly influenced by the system pH, as the overall reaction consumes alkali. Previous studies indicate that the crystallization efficiency of HAP is optimal within a pH range of 9.0 - 10.0 [<xref ref-type="bibr" rid="B4">4</xref>]. The system pH decisively governs the speciation of phosphate (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> ) in aqueous solution. As alkalinity increases, the molar fraction of phosphate species favorable for HAP crystallization increases. This promotes the forward reaction and accelerates the crystallization process. Therefore, the timely supplementation of alkali during the reaction enhances phosphate utilization and removal [<xref ref-type="bibr" rid="B14">14</xref>].</p>
        <p>In a parallel experiment, 5 wt% calcite was added as a seed crystal prior to the </p>
        <fig id="fig5">
          <label>Figure 5</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId106.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig5">Figure 5</xref><bold>.</bold> Reaction of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> under pH and seed addition conditions.</p>
        <p>reaction. This resulted in a decrease in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration to 7.45 mg/L after 5 minutes. The removal rate reached 90.25% within 1 hour, representing a significant increase compared to the control group without seed crystals. The addition of seed crystals promotes heterogeneous nucleation. Compared to homogeneous nucleation, heterogeneous nucleation on the provided surfaces lowers the activation energy barrier. This enables the reaction to proceed without requiring high supersaturation, thereby shortening the induction period and accelerating the overall reaction rate. Furthermore, the atomic arrangement on the calcite surface closely resembles that of HAP crystals, which enhances the efficiency of phosphorus fixation [<xref ref-type="bibr" rid="B15">15</xref>][<xref ref-type="bibr" rid="B16">16</xref>].</p>
        <p>3.1.4. Low Alkalinity Provides</p>
        <p>To further investigate the influence of alkalinity on HAP formation and to ensure that the supernatant after precipitation would have low alkalinity suitable for direct discharge, the solution pH was maintained between 7 and 8 throughout the reaction. The removal efficiency after a 30-minute reaction period is shown in <xref ref-type="fig" rid="fig6">Figure 6</xref><xref ref-type="fig" rid="fig6">Figure 6</xref>. Initially, the pH was 9.5. Upon the addition of CaCl<sub>2</sub>, the pH decreased to 7.45 within 2 minutes, while the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration dropped to 48.94 mg/L. Subsequently, NaOH was added dropwise to stabilize the pH within the target range of 7 - 8. As the reaction progressed, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased, whereas the removal rate increased. After 30 minutes, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration had decreased to 18.96 mg/L, and the removal rate had increased to 79.58%. Maintaining a near-neutral pH throughout the reaction process thus enabled a high <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate. This outcome supports the potential for subsequent supernatant reuse or direct discharge.</p>
        <fig id="fig6">
          <label>Figure 6</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId114.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig6">Figure 6</xref><bold>.</bold> Removal of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> during low pH reactions.</p>
      </sec>
      <sec id="sec3dot2">
        <title>3.2. Factors Affecting the Use of CaO in HAP Recovery Methods</title>
        <p>3.2.1. CaO Contributes to Alkalinity</p>
        <p>Calcium oxide (CaO) reacts with water to form sparingly soluble calcium hydroxide (Ca(OH)<sub>2</sub>), thereby increasing the solution alkalinity. <xref ref-type="fig" rid="fig7">Figure 7</xref><xref ref-type="fig" rid="fig7">Figure 7</xref> illustrates the pH changes in a 200 mL deionized water solution upon the addition of varying masses of CaO. The initial pH of the deionized water ranged from 7.52 to 7.98. </p>
        <fig id="fig7">
          <label>Figure 7</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId116.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig7">Figure 7</xref><bold>.</bold> CaO solution pH.</p>
        <p>When the mass of added CaO was increased from 0.01 to 0.05 g, the solution pH rose from 8.8 to 11.75 after stabilization, indicating a highly alkaline environment. The rate of pH increase diminished as the mass of added CaO increased. This can be attributed to the dispersion efficiency of CaO particles during mixing. Additionally, carbon dioxide from the air was absorbed by the highly alkaline solution through the open container during the dissolution of CaO to Ca(OH)<sub>2</sub>. This consumption of OH<sup>−</sup> ions caused the measured pH to fall below the theoretical value. In summary, within conventional treatment systems, CaO serves as an effective source of alkalinity, creating a highly alkaline environment that meets the requirements for HAP formation.</p>
        <p>3.2.2. Initial P Concentration Value</p>
        <p>CaO was utilized as the reactant for HAP formation to supply Ca<sup>2</sup>⁺ ions and maintain an alkaline environment upon dissolution. The removal efficiency for different initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentrations after 15 min of reaction and 1 h of precipitation is shown in <xref ref-type="fig" rid="fig8">Figure 8</xref><xref ref-type="fig" rid="fig8">Figure 8</xref>. In the absence of calcite seed crystals, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased markedly after 15 min. For an initial concentration of 53.56 mg/L, it dropped to 13.14 mg/L, while for an initial concentration of 104.37 mg/L, it declined to 27.00 mg/L. Following a 1-hour precipitation period, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration remained relatively unchanged, with a removal rate consistently around 76.84%. As CaO reacts with water and binds phosphate, the system approaches equilibrium, whereby the residual ion concentrations are governed by their solubility products. Upon completion of the reaction, the concentrations of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> , OH<sup>−</sup>, and Ca<sup>2</sup>⁺ stabilize at a fixed stoichiometric ratio. Therefore, given sufficient alkalinity, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate converges to a consistent value after 1 hour of precipitation.</p>
        <fig id="fig8">
          <label>Figure 8</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId127.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig8">Figure 8</xref><bold>.</bold> Reaction of CaO with different concentrations of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> .</p>
        <p>3.2.3. Ca/P Molar Ratio</p>
        <p>A freshly prepared saturated CaO solution (1.29 g/L) was used. Different Ca/P molar ratios were established by adding varying masses of potassium dihydrogen phosphate (KH<sub>2</sub>PO₄). The corresponding reaction outcomes are presented in <xref ref-type="fig" rid="fig9">Figure 9</xref><xref ref-type="fig" rid="fig9">Figure 9</xref>. As the Ca/P molar ratio was decreased from 2.6 to 1.6, the mass of P added increased from 138 to 225.4 g, whereas the residual mass of P rose from 0.3 to 62.95 g. Consequently, the P removal rate decreased from 99.77% to 72.07%. Correspondingly, the final solution pH after 1 h of precipitation dropped from 12.44 to 11.91 as the Ca/P molar ratio was lowered.</p>
        <p>Under conditions of CaO saturation, the OH<sup>−</sup> concentration remains constant, sustaining a highly alkaline environment. Higher pH values promote greater supersaturation during nucleation, which accelerates crystal growth [<xref ref-type="bibr" rid="B17">17</xref>]. An increase in the amount of P reactant leads to greater participation of phosphate in HAP formation. This consumes more OH<sup>−</sup> in the early stage of the reaction, causing a more pronounced decrease in the solution pH. As the reaction proceeds, the available Ca<sup>2</sup><sup>+</sup> becomes limiting. Consequently, fewer Ca<sup>2</sup><sup>+</sup> ions combine with the remaining phosphate, thereby reducing its removal rate.</p>
        <p>Compared with CaCl<sub>2</sub>, which supplies Ca<sup>2</sup><sup>+</sup> but requires NaOH addition to maintain alkalinity, CaO inherently sustains an alkaline environment through its dissolution while achieving comparable removal rates. However, the supernatant pH after 1 h of precipitation consistently exceeded 11.5, indicating a persistently highly alkaline state that is unsuitable for subsequent processing. First, a high pH promotes the formation of unstable intermediate phases such as amorphous calcium phosphate (ACP), which are prone to redissolution. Furthermore, the high alkalinity of the supernatant precludes its direct discharge, necessitating a neutralization step prior to any further processing or disposal.</p>
        <fig id="fig9">
          <label>Figure 9</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId129.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig9">Figure 9</xref><bold>.</bold> Reaction behavior of CaO with <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> at different Ca/P molar ratios.</p>
      </sec>
      <sec id="sec3dot3">
        <title>
          3.3. CaCl
          <sub>2</sub>
          Combined with CaO for Phosphorus Recovery
        </title>
        <p>3.3.1. Equal Amounts of CaCl<sub>2</sub> and CaO are Used for HAP Formation</p>
        <p>The temporal variations in residual PO₄³<sup>−</sup> concentration and pH under continuous stirring, at a CaCl<sub>2</sub>-to-CaO mass ratio of 1:1, are shown in <xref ref-type="fig" rid="fig10">Figure 10</xref><xref ref-type="fig" rid="fig10">Figure 10</xref>. As the reaction progressed, both parameters gradually stabilized. The initial pH was 10.85 with a <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration of 98.55 mg/L. After 3 min, the pH decreased to 8.98 and the concentration to 15.27 mg/L. After 5.5 h, the pH had further decreased to 7.76 and the concentration to 12.70 mg/L. Throughout the reaction, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate ranged from 82.23% to 87.53%, indicating a high and stable removal efficiency.</p>
        <p>The use of a 1:1 mass ratio of CaCl<sub>2</sub> to CaO proved to be a feasible strategy for HAP formation. This approach addresses two key limitations: it eliminates the need for continuous alkali supplementation (as required when using CaCl<sub>2</sub> alone) and avoids the persistently high pH associated with reactions using only CaO. After 16 min, the pH reached 8.77. Achieving a pH below 8 required an impractically long time. Therefore, the mass ratio of CaCl<sub>2</sub> to CaO was adjusted in subsequent experiments to further investigate the reaction dynamics.</p>
        <fig id="fig10">
          <label>Figure 10</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId135.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig10">Figure 10</xref><bold>.</bold> Reaction of equal amounts of CaCl<sub>2</sub>/CaO with <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> .</p>
        <p>3.3.2. CaCl<sub>2</sub> Combined with CaO for Phosphorus Recovery</p>
        <p>The effects of varying the mass ratios of CaCl<sub>2</sub> to CaO on the reaction are summarized in <xref ref-type="fig" rid="fig11">Figure 11</xref><xref ref-type="fig" rid="fig11">Figure 11</xref>. As the mass ratio of CaCl<sub>2</sub>/CaO increased, the proportion of CaO correspondingly decreased. When the mass ratio was increased from 1.0 to 3.4, the initial pH decreased from 10.4 to 9.5. Following 15 min of stirring and a subsequent 1 h precipitation period, the pH further decreased from 8.24 to 7.8. The reduced proportion of CaO decreased the availability of OH<sup>−</sup> ions, thereby lowering the initial pH. Nevertheless, sufficient OH<sup>−</sup> was supplied to sustain the HAP formation reaction.</p>
        <p>At the fixed Ca/P molar ratio of 1.6, CaCl<sub>2</sub> served as the Ca<sup>2</sup><sup>+</sup> source. Simultaneously, it inhibited the dissolution of Ca(OH)<sub>2</sub> through the common-ion effect and promoted the forward OH<sup>−</sup>-consuming reaction, both of which favored HAP formation. Consequently, after 1 h of precipitation, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration decreased from 23.14 to 17.80 mg/L, resulting in a corresponding increase in the phosphate removal rate.</p>
        <p>Under the condition of a Ca/P molar ratio of 1.6, when the mass ratio of CaCl<sub>2</sub>/CaO is 2.6, CaO provides both the calcium source and alkalinity. After reacting for 15 minutes and precipitating for 1 hour, the pH of the reaction solution decreased from an initial 9.8 to 7.8, and the removal rate of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> was 79.36%, which is similar to the result when NaOH is used to provide alkalinity (3.1.4). When NaOH provides alkalinity, after reacting for 30 minutes, the solution pH decreased from 9.5 to 7.65, and the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate was 79.58%. The pH drop is basically the same in both cases, indicating that under the reaction conditions with a CaCl<sub>2</sub>/CaO mass ratio of 2.6, the alkalinity required for the HAP reaction can be met. Compared with using NaOH to provide alkalinity, the reaction process is easy.</p>
        <fig id="fig11">
          <label>Figure 11</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId143.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig11">Figure 11</xref><bold>.</bold> Reaction of different amounts of CaCl<sub>2</sub>/CaO with <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> .</p>
        <p>3.3.3. Speed Influence</p>
        <p>The <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal efficiency at a CaCl<sub>2</sub>-to-CaO mass ratio of 2.6 is shown in <xref ref-type="fig" rid="fig12">Figure 12</xref><xref ref-type="fig" rid="fig12">Figure 12</xref>. Experiments were conducted at stirring speeds of 200, 250, 300, and 350 rpm with an initial <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration of 90 mg/L, followed by 15 min of stirring and 1 h of settling. At 200 rpm, the <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> removal rate was 79.37%, increasing to 81.59% at 350 rpm. However, at intermediate speeds of 250 and 300 rpm, the removal rate decreased to approximately 77.7%.</p>
        <p>At lower stirring speeds, the precipitates formed were larger and settled more rapidly. As the stirring speed increased, the enhanced shear forces mechanically disrupted the initially formed precipitates, breaking them into finer particles. This resulted in a higher residual <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration after settling, corresponding to the observed decrease in removal rate at intermediate speeds. At even higher stirring speeds, a secondary nucleation process was readily induced. The intensified turbulence promoted collisions between particles and microcrystals, facilitating their aggregation and growth. This led to a reduction in the residual <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> concentration [<xref ref-type="bibr" rid="B18">18</xref>], explaining the recovery of the removal rate at 350 rpm.</p>
        <fig id="fig12">
          <label>Figure 12</label>
          <graphic xlink:href="https://html.scirp.org/file/1114994-rId155.jpeg?20260306020845" />
        </fig>
        <p><xref ref-type="fig" rid="fig12">Figure 12</xref><bold>.</bold> Reaction behavior of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> at different rotational speeds.</p>
      </sec>
    </sec>
    <sec id="sec4">
      <title>4. Conclusions</title>
      <p>This study systematically investigated the influence of different calcium sources on the hydroxyapatite (HAP) formation process and established an effective method utilizing a combined CaO and CaCl<sub>2</sub>calcium source. The following conclusions were drawn:</p>
      <p>1) When CaCl<sub>2</sub> was used as the sole calcium source without pH control (no NaOH addition), the phosphate (<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext> PO </mml:mtext></mml:mrow><mml:mn> 4 </mml:mn><mml:mrow><mml:mn> 3 </mml:mn><mml:mo> − </mml:mo></mml:mrow></mml:msubsup><mml:mtext> -P </mml:mtext></mml:mrow></mml:math></inline-formula> ) removal rate was positively correlated with its initial concentration and the Ca/P molar ratio, but remained limited to 50% - 60%. In contrast, when the pH was maintained by NaOH addition, the removal rate reached approximately 80%.</p>
      <p>2) CaO dissolution in water provides inherent alkalinity. The solution pH increased with CaO dosage until saturation was achieved. When used as the sole calcium source, phosphate removal rates are comparable at initial phosphate concentrations of 50 - 100 mg/L. In a saturated CaO solution, the phosphate removal efficiency varied from 72% to 99.77% across a Ca/P molar ratio range of 1.6 to 2.6, although the resultant supernatant pH remained above 11.</p>
      <p>3) A combined CaCl<sub>2</sub>/CaO system proved effective for HAP formation. At an optimal CaCl<sub>2</sub>/CaO mass ratio of 2.6 and a stirring speed of 200 rpm, the post-precipitation supernatant pH was reduced to 7.8, while achieving a phosphate removal rate of 79%.</p>
    </sec>
  </body>
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