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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fenrg.2017.00017</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Calcium Carbonate Precipitation for CO<sub>2</sub> Storage and Utilization: A Review of the Carbonate Crystallization and Polymorphism</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Chang</surname> <given-names>Ribooga</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/430573"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kim</surname> <given-names>Semin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/430589"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lee</surname> <given-names>Seungin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/430585"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Choi</surname> <given-names>Soyoung</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/430715"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kim</surname> <given-names>Minhee</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/430576"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Park</surname> <given-names>Youngjune</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/171823"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Carbon and Energy Systems, School of Earth Sciences and Environmental Engineering, Gwangju Institute of Science and Technology (GIST)</institution>, <addr-line>Gwangju</addr-line>, <country>South Korea</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Renato Baciocchi, University of Rome Tor Vergata, Italy</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Rafael Mattos Dos Santos, Sheridan College, Canada; Mai Uibu, Tallinn University of Technology, Estonia</p></fn>
<corresp content-type="corresp" id="cor1">&#x0002A;Correspondence: Youngjune Park, <email>young&#x00040;gist.ac.kr</email></corresp>
<fn fn-type="other" id="fn001"><p>Specialty section: This article was submitted to Carbon Capture, Storage, and Utilization, a section of the journal Frontiers in Energy Research</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>07</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>5</volume>
<elocation-id>17</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>04</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>06</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Chang, Kim, Lee, Choi, Kim and Park.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Chang, Kim, Lee, Choi, Kim and Park</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) or licensor 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>The transformation of CO<sub>2</sub> into a precipitated mineral carbonate through an <italic>ex situ</italic> mineral carbonation route is considered a promising option for carbon capture and storage (CCS) since (i) the captured CO<sub>2</sub> can be stored permanently and (ii) industrial wastes (i.e., coal fly ash, steel and stainless-steel slags, and cement and lime kiln dusts) can be recycled and converted into value-added carbonate materials by controlling polymorphs and properties of the mineral carbonates. The final products produced by the <italic>ex situ</italic> mineral carbonation route can be divided into two categories&#x02014;low-end high-volume and high-end low-volume mineral carbonates&#x02014;in terms of their market needs as well as their properties (i.e., purity). Therefore, it is expected that this can partially offset the total cost of the CCS processes. Polymorphs and physicochemical properties of CaCO<sub>3</sub> strongly rely on the synthesis variables such as temperature, pH of the solution, reaction time, ion concentration and ratio, stirring, and the concentration of additives. Various efforts to control and fabricate polymorphs of CaCO<sub>3</sub> have been made to date. In this review, we present a summary of current knowledge and recent investigations entailing mechanistic studies on the formation of the precipitated CaCO<sub>3</sub> and the influences of the synthesis factors on the polymorphs.</p>
</abstract>
<kwd-group>
<kwd>CO<sub>2</sub> storage</kwd>
<kwd>CO<sub>2</sub> utilization</kwd>
<kwd>calcium carbonate</kwd>
<kwd>crystallization</kwd>
<kwd>polymorphism</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="4"/>
<ref-count count="119"/>
<page-count count="12"/>
<word-count count="10750"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="introduction">
<title>Introduction</title>
<p>It is generally recognized that global warming is caused by the accumulation of greenhouse gases in the atmosphere, including CO<sub>2</sub> in particular. Surprisingly, the atmospheric level of CO<sub>2</sub> has reached a significantly symbolic milestone, 400 parts per million (Scripps Institution of Oceanography, <xref ref-type="bibr" rid="B94">2017</xref>), and moreover, a further continuous increase is expected for the foreseeable future in the absence of proper actions (Kim et al., <xref ref-type="bibr" rid="B49">2013</xref>). In the context of global awareness of this issue, in 2015 COP21, also known as the 2015 Paris Climate Conference, proposed an agreement to keep the global average temperature rise below 2&#x000B0;C above preindustrial levels by limiting total carbon emissions in the atmosphere (COP21, <xref ref-type="bibr" rid="B13">2015</xref>). Among the key options to reduce CO<sub>2</sub> emissions and finally to meet the aforementioned goal, carbon capture and storage (CCS) technologies are considered to offer the greatest potential for CO<sub>2</sub> mitigation from the use of fossil fuels in coal- and gas-fired power plants and in industrial sites [IEA (International Energy Agency), <xref ref-type="bibr" rid="B40">2010</xref>; Smit et al., <xref ref-type="bibr" rid="B98">2014a</xref>], which produce more than 40% of total greenhouse gas emissions [IPCC (Intergovernmental Panel on Climate Change), <xref ref-type="bibr" rid="B42">2014</xref>].</p>
<p>CCS technologies are aimed at mitigating greenhouse gas emissions by capturing CO<sub>2</sub> from large point sources, such as fossil fuel power plants and industrial facilities including cement, iron, and steel, chemical and refining facilities, transporting this CO<sub>2</sub> to storage sites, and finally storing or sequestering it in geological formations. Among options for CO<sub>2</sub> storage, geological CO<sub>2</sub> storage is widely accepted as the most viable option for large-scale storage (Leung et al., <xref ref-type="bibr" rid="B57">2014</xref>). In the geological storage scheme, CO<sub>2</sub> can be injected into saline aquifers, oil and gas reservoirs, or deep coal beds (Klusman, <xref ref-type="bibr" rid="B50">2003</xref>; White et al., <xref ref-type="bibr" rid="B114">2003</xref>; Fujioka et al., <xref ref-type="bibr" rid="B25">2010</xref>; Garcia et al., <xref ref-type="bibr" rid="B26">2010</xref>; Chiaramonte et al., <xref ref-type="bibr" rid="B11">2011</xref>). The injected CO<sub>2</sub> then can be trapped under the ground <italic>via</italic> a sequence of trapping mechanisms such as stratigraphic, residual, solubility, and mineral trapping (Smit et al., <xref ref-type="bibr" rid="B99">2014b</xref>). In particular, CO<sub>2</sub> can be transformed to mineral carbonates by reacting with alkaline minerals present in the geological formation, which is referred to as <italic>in situ</italic> mineral carbonation. Because mineral carbonates such as CaCO<sub>3</sub> or MgCO<sub>3</sub> are the thermodynamically most stable form of carbon, long-term storage of CO<sub>2</sub> can be achieved once it is transformed to carbonates (Smit et al., <xref ref-type="bibr" rid="B99">2014b</xref>). However, geological CO<sub>2</sub> storage poses several uncertainties that must be addressed. For example, potential leakage of injected CO<sub>2</sub> is a major concern, and thus accurate quantification of storage potential and constant monitoring of injected CO<sub>2</sub> are necessary (Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). Finding a storage site having suitable geological formation is also challenging in some regions or countries.</p>
<p>Unlike <italic>in situ</italic> mineral carbonation, <italic>ex situ</italic> mineral carbonation carries out a series of chemical processes above ground <italic>via</italic> reactions between CO<sub>2</sub> and alkaline earth metals such as calcium or magnesium that are extracted from naturally occurring silicate minerals, i.e., wollastonite, olivine, serpentine, etc., or industrial by-products or waste materials, i.e., coal fly ash, steel and stainless-steel slags, and cement and lime kiln dusts (Gerdemann et al., <xref ref-type="bibr" rid="B30">2007</xref>). Because this technology involves energy-intensive processes during the preparation of the solid reactants, including mining, transport, grinding and/or activation, as well as the recycling of additives and catalysts, process optimization is required for cost reduction (IPCC, <xref ref-type="bibr" rid="B41">2005</xref>; Oelkers et al., <xref ref-type="bibr" rid="B74">2008</xref>). Despite such shortcomings, <italic>ex situ</italic> mineral carbonation also has unique advantages. As opposed to <italic>in situ</italic> methods, this technique allows the utilization of alkaline-metal feedstock extracted from industrial wastes, which are generally recognized to have environmentally hazardous effects, and in this light providing an appropriate method for proper disposal or for recycling is a significant environmental issue. More importantly, the final products, such as CaCO<sub>3</sub>, can be converted to value-added materials that can be utilized in various applications such as adhesives, sealants, food and pharmaceuticals, paints, coatings, paper, cements, and construction materials (Eloneva et al., <xref ref-type="bibr" rid="B20">2008a</xref>). It was reported that the global calcium carbonate market in 2011 and 2016 was about 81 and 98 million tons, respectively, and further growth is expected. Calcium carbonate is mostly used in the paper industry, followed by plastics, paints, adhesive/sealants, and rubber. Therefore, it can be anticipated that producing value-added mineral carbonates <italic>via ex situ</italic> mineral carbonation technology may partially reduce the overall expense in CCS as well as in <italic>ex situ</italic> mineral carbonation processes.</p>
<p>In fact, the precipitated CaCO<sub>3</sub> has many industrial applications depending on its physicochemical characteristics such as particle size, shape, density, color, brightness, and other properties, and it is also known that those characteristics are significantly governed by the polymorphs of CaCO<sub>3</sub>. The precipitated CaCO<sub>3</sub> has three polymorphs, such as calcite, aragonite, and vaterite. It has been reported that the formation behavior of each polymorph is affected by synthesis factors including pH, temperature, concentration, and ratio of carbonate and calcium ions, additives, stirring, reaction time, etc. (Zhao et al., <xref ref-type="bibr" rid="B118">2013</xref>; Chang et al., <xref ref-type="bibr" rid="B9">2017</xref>). In this review, we present a summary of current knowledge and recent investigations involving mechanistic studies on the formation of the precipitated CaCO<sub>3</sub> and the influences of the synthesis factors on the polymorphs.</p>
</sec>
<sec id="S2">
<title>Mineral Carbonation Technologies</title>
<p>Since mineral carbonation for CO<sub>2</sub> disposal was proposed in the 1990s (Seifritz, <xref ref-type="bibr" rid="B95">1990</xref>), various efforts have been made toward commercialization in connection to CCS schemes (Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). The mineral carbonation technologies are based on the spontaneous reaction between CO<sub>2</sub> and metal oxide bearing minerals to form insoluble carbonates, and the reactions can be carried out either below (<italic>in situ</italic>) or above ground (<italic>ex situ</italic>):
<disp-formula id="E1"><mml:math id="M1"><mml:mrow><mml:mtext>Metal oxide</mml:mtext><mml:mo>+</mml:mo><mml:mtext>C</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02192;</mml:mo><mml:mtext>Mineral carbonate</mml:mtext><mml:mo>+</mml:mo><mml:mtext>Heat</mml:mtext></mml:mrow></mml:math></disp-formula></p>
<p>While <italic>in situ</italic> mineral carbonation involves CO<sub>2</sub> injection processes into underground reservoirs where alkali or alkaline earth metals are present in the geological formation, <italic>ex situ</italic> mineral carbonation technology entails a series of physicochemical processes including mining, grinding, and/or pretreatment processes to secure Ca- or Mg-bearing mineral feedstock. Various naturally occurring mineral silicates or industrial by-products are considered suitable mineral feedstock for <italic>ex situ</italic> mineral carbonation owing to their large contents of Ca and/or Mg elements. Depending on physical and chemical properties of the mineral feedstock, the reaction pathways for the mineral carbonation must be designed and optimized. In general, the following reactions are anticipated for the representative naturally occurring mineral silicates such as olivine, serpentine, and wollastonite, respectively (Olajire, <xref ref-type="bibr" rid="B76">2013</xref>):
<disp-formula id="E2"><mml:math id="M2"><mml:mrow><mml:mtext>Olivine</mml:mtext><mml:mo>:</mml:mo><mml:mtext>M</mml:mtext><mml:msub><mml:mtext>g</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mtext>Si</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mtext>C</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02192;</mml:mo><mml:mn>2</mml:mn><mml:mtext>MgC</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mtext>Si</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>90</mml:mn><mml:mtext>&#x000A0;kJ</mml:mtext><mml:mo>/</mml:mo><mml:mtext>mol</mml:mtext></mml:mrow></mml:math></disp-formula>
<disp-formula id="E3"><mml:math id="M3"><mml:mtext>Serpentine</mml:mtext><mml:mo>:</mml:mo><mml:malignmark/><mml:mtext>M</mml:mtext><mml:msub><mml:mtext>g</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mtext>S</mml:mtext><mml:msub><mml:mtext>i</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mtext>O</mml:mtext><mml:mn>5</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:mtext>OH</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:mtext>C</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02192;</mml:mo><mml:mn>3</mml:mn><mml:mtext>MgC</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:mtext>Si</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mtext>H</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mtext>O</mml:mtext><mml:mo>+</mml:mo><mml:mn>64</mml:mn><mml:mtext>&#x000A0;kJ</mml:mtext><mml:mo>/</mml:mo><mml:mtext>mol</mml:mtext></mml:math></disp-formula>
<disp-formula id="E4"><mml:math id="M4"><mml:mrow><mml:mtext>Wollastonite</mml:mtext><mml:mo>:</mml:mo><mml:mtext>CaSi</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mtext>C</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>&#x02192;</mml:mo><mml:mtext>CaC</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mtext>Si</mml:mtext><mml:msub><mml:mtext>O</mml:mtext><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>90</mml:mn><mml:mtext>&#x000A0;kJ</mml:mtext><mml:mo>/</mml:mo><mml:mtext>mol</mml:mtext></mml:mrow></mml:math></disp-formula></p>
<p>Despite that the natural abundances of oxides and hydroxides of Ca and Mg are relatively low, such silicate minerals including olivine and serpentine, which are relatively abundant over the world, could be an attractive feedstock for CO<sub>2</sub> mineralization (Lackner et al., <xref ref-type="bibr" rid="B55">1997</xref>; Styring et al., <xref ref-type="bibr" rid="B102">2015</xref>). Although it is not as abundant as olivine and serpentine, wollastonite also could be a suitable option in limited locations (Lackner et al., <xref ref-type="bibr" rid="B56">1995</xref>), e.g., China, India, United States, Mexico, and Finland (U.S. Geological Survey, <xref ref-type="bibr" rid="B107">2011</xref>).</p>
<p>On the other hand, in some regions or countries where natural silicate minerals of Ca and Mg are not available, industrial by-product or wastes including Ca and/or Mg elements, i.e., coal fly ash, steel and stainless-steel slags, and cement and lime kiln dusts, could be an alternative mineral feedstock to implement CO<sub>2</sub> storage <italic>via</italic> mineral carbonation. The use of industrial by-products or wastes is advantageous over the use of natural silicate minerals, particularly in terms of energy consumption, processing cost, and reuse in products: (i) these materials are often associated with a large point source of CO<sub>2</sub> emissions, such as coal fired power plants, cement plants, and the steel and paper industries, and thus combined carbon capture and storage may be achieved with elimination of the CO<sub>2</sub> transportation process; (ii) because Ca or Mg elements usually exist in form of a readily reactive states, i.e., CaO or Ca(OH)<sub>2</sub>, enhanced carbonation yields without significant efforts regarding pre-treatments can be expected (Huijgen and Comans, <xref ref-type="bibr" rid="B37">2006</xref>); (iii) energy-intensive mining and/or grinding processes may be avoided since they are typically in the state of fine-grained particulates (O&#x02019;Connor et al., <xref ref-type="bibr" rid="B71">2000a</xref>, <xref ref-type="bibr" rid="B72">b</xref>); and finally (iv) such industrial by-products or wastes can be accessed easily at low cost, and moreover, they can be transformed into value-added materials of mineral carbonates, which could be applicable to, for example, road base or construction materials, adhesives, sealants, food and pharmaceuticals, paints, coatings, paper, cements, construction materials, etc. (Eloneva et al., <xref ref-type="bibr" rid="B20">2008a</xref>; Huntzinger et al., <xref ref-type="bibr" rid="B39">2009</xref>) and may thereby partially compensate the overall cost of CCS. For these reasons, various types of industrial by-products and wastes have been investigated for <italic>ex situ</italic> mineral carbonation, including steelmaking slags, cement wastes, and waste ashes (Pan et al., <xref ref-type="bibr" rid="B78">2012</xref>). Table <xref ref-type="table" rid="T1">1</xref> shows the composition of Ca and Mg elements in various feedstocks for <italic>ex situ</italic> mineral carbonation.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Chemical compositions of various sources for mineral carbonation.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left" rowspan="2">Source</th>
<th valign="top" align="center" colspan="5">Composition (%)<hr/></th>
<th valign="top" align="left" rowspan="2">Reference</th>
</tr><tr>
<th valign="top" align="center">CaO</th>
<th valign="top" align="center">MgO</th>
<th valign="top" align="center">SiO<sub>2</sub></th>
<th valign="top" align="center">Fe<sub>2</sub>O<sub>3</sub></th>
<th valign="top" align="center">Al<sub>2</sub>O<sub>3</sub></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Serpentine</td>
<td align="center" valign="top">0.04</td>
<td align="center" valign="top">23.04</td>
<td align="center" valign="top">19.54</td>
<td align="center" valign="top">4.80</td>
<td align="center" valign="top">0.47</td>
<td align="left" valign="top">Nduagu et al. (<xref ref-type="bibr" rid="B68">2012</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Olivine</td>
<td align="center" valign="top">0.14</td>
<td align="center" valign="top">29.55</td>
<td align="center" valign="top">19.49</td>
<td align="center" valign="top">5.03</td>
<td align="center" valign="top">2.79</td>
<td align="left" valign="top">Nduagu et al. (<xref ref-type="bibr" rid="B68">2012</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Talc</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">34.69</td>
<td align="center" valign="top">55.98</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.3</td>
<td align="left" valign="top">Wu et al. (<xref ref-type="bibr" rid="B115">2001</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Wollastonite</td>
<td align="center" valign="top">43.69</td>
<td align="center" valign="top">0.78</td>
<td align="center" valign="top">50.13</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">0.92</td>
<td align="left" valign="top">Wu et al. (<xref ref-type="bibr" rid="B115">2001</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Dolomite</td>
<td align="center" valign="top">29.90</td>
<td align="center" valign="top">19.41</td>
<td align="center" valign="top">1.32</td>
<td align="center" valign="top">0.04</td>
<td align="center" valign="top">0.45</td>
<td align="left" valign="top">Ke et al. (<xref ref-type="bibr" rid="B53">2013</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Steel slag</td>
<td align="center" valign="top">31.7</td>
<td align="center" valign="top">6.0</td>
<td align="center" valign="top">9.1</td>
<td align="center" valign="top">35.5</td>
<td align="center" valign="top">1.6</td>
<td align="left" valign="top">Huijgen and Comans (<xref ref-type="bibr" rid="B36">2005</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Basic oxygen furnace slags</td>
<td align="center" valign="top">51.11</td>
<td align="center" valign="top">4.17</td>
<td align="center" valign="top">11.15</td>
<td align="center" valign="top">24.03</td>
<td align="center" valign="top">1.55</td>
<td align="left" valign="top">Chang et al. (<xref ref-type="bibr" rid="B8">2011</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Blast furnace slag</td>
<td align="center" valign="top">40.6</td>
<td align="center" valign="top">10.7</td>
<td align="center" valign="top">34.1</td>
<td align="center" valign="top">0.90</td>
<td align="center" valign="top">9.4</td>
<td align="left" valign="top">Eloneva et al. (<xref ref-type="bibr" rid="B20">2008a</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Pulverized firing oil shale ash</td>
<td align="center" valign="top">51.19</td>
<td align="center" valign="top">4.93</td>
<td align="center" valign="top">21.90</td>
<td align="center" valign="top">3.98</td>
<td align="center" valign="top">5.25</td>
<td align="left" valign="top">Uibu et al. (<xref ref-type="bibr" rid="B108">2011</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Waste cement</td>
<td align="center" valign="top">23.14</td>
<td align="center" valign="top">1.77</td>
<td align="center" valign="top">50.44</td>
<td align="center" valign="top">2.63</td>
<td align="center" valign="top">9.46</td>
<td align="left" valign="top">Mun and Cho (<xref ref-type="bibr" rid="B66">2013</xref>)</td>
</tr>
<tr>
<td align="left" valign="top">Steel converter slag</td>
<td align="center" valign="top">51.10</td>
<td align="center" valign="top">1.50</td>
<td align="center" valign="top">13.70</td>
<td align="center" valign="top">14.60 (FeO)</td>
<td align="center" valign="top">1.60</td>
<td align="left" valign="top">Said et al. (<xref ref-type="bibr" rid="B87">2016</xref>)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The reaction routes for <italic>ex situ</italic> mineral carbonation can be divided into two processes&#x02014;direct and indirect mineral carbonations. A direct carbonation is the simplest carbonation method, where Ca or Mg feedstock directly reacts with CO<sub>2</sub> in a single step, and further it can be conducted by gas&#x02013;solid or aqueous route (Eloneva et al., <xref ref-type="bibr" rid="B22">2007</xref>). Direct carbonation offers simplicity and does not require additional chemicals (Bobicki et al., <xref ref-type="bibr" rid="B5">2012</xref>). The direct gas&#x02013;solid carbonation route was first investigated by Lackner et al. (<xref ref-type="bibr" rid="B55">1997</xref>), employing olivine at high CO<sub>2</sub> pressure conditions. The slow kinetics of the direct gas&#x02013;solid carbonation in Ca- or Mg-bearing silicate minerals is the major challenge to be resolved (Lackner et al., <xref ref-type="bibr" rid="B56">1995</xref>). The direct aqueous carbonation route also employs high CO<sub>2</sub> pressure at elevated temperature condition for enhanced reaction conversion (O&#x02019;Connor et al., <xref ref-type="bibr" rid="B71">2000a</xref>, <xref ref-type="bibr" rid="B72">b</xref>, <xref ref-type="bibr" rid="B73">2001</xref>). Huijgen et al. (<xref ref-type="bibr" rid="B38">2006</xref>) investigated mineral carbonation of finely ground wollastonite <italic>via</italic> a direct aqueous route introducing CO<sub>2</sub> stream into the reactor under continuous stirring to ensure dispersion of the gas. They suggested a two-step reaction: (i) Ca leaching from the silicate mineral and (ii) crystallization of CaCO<sub>3</sub>. A promising conversion of 75% for 15&#x02009;min at high temperature and pressure conditions of 200&#x000B0;C and 20&#x02009;bar CO<sub>2</sub> partial pressure, respectively, was reported. However, further efforts are required to enhance the reaction conversion, particularly considering the pretreatment step. The pretreatment process is aimed at promoting the carbonation reaction kinetics by providing larger surface area of the raw materials (Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). The process can be conducted through two major processes: (i) mechanical and (ii) thermal pretreatments or hybrid processes. The purpose of mechanical grinding is to destroy the mineral lattice and reduce the particle size, resulting in an increase of the surface area. Various types of mechanical pretreatment methods combined with ultrasonic and wet grinding have been proposed and tested thus far (O&#x02019;Connor et al., <xref ref-type="bibr" rid="B73">2001</xref>). Nevertheless, the requirement of high energy input is recognized as a critical drawback that must be mitigated. Thermal pretreatment was also investigated by many researchers, particularly focusing on serpentine to remove hydroxyl groups, resulting in a chemical transformation to pseudoforsterite (Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). It was revealed that thermotreatment can be a more effective option for Mg-bearing silicate minerals to enhance the carbonation efficiency than mechanical pretreatment, although the energy requirement during the process must be further addressed (Fabian et al., <xref ref-type="bibr" rid="B23">2010</xref>; Sanna et al., <xref ref-type="bibr" rid="B91">2013</xref>).</p>
<p>Indirect mineral carbonation route takes place in more than two steps, typically including (i) extraction of Ca and/or Mg components and (ii) a precipitation reaction step between Ca/Mg and CO<sub>2</sub> in either gaseous or aqueous phases. Since the indirect carbonation process separates the precipitation step from dissolution of the raw materials, mineral carbonates with higher purity can be expected compared with the direct carbonation route. In the dissolution step, various additives including strong acids (i.e., HCl, HNO<sub>3</sub>, and H<sub>2</sub>SO<sub>4</sub>) (Teir et al., <xref ref-type="bibr" rid="B105">2007</xref>; Lin et al., <xref ref-type="bibr" rid="B58">2008</xref>; Bobicki et al., <xref ref-type="bibr" rid="B5">2012</xref>), organic acids (i.e., acetic acid, formic acid, succinic acid, oxalic acid, etc.) (Park et al., <xref ref-type="bibr" rid="B80">2003</xref>; Park and Fan, <xref ref-type="bibr" rid="B79">2004</xref>; Ba&#x00142;dyga et al., <xref ref-type="bibr" rid="B1">2010</xref>; Zhao et al., <xref ref-type="bibr" rid="B118">2013</xref>), salts, and alkali solution and ligands (Maroto-Valer et al., <xref ref-type="bibr" rid="B59">2005</xref>; Jarvis et al., <xref ref-type="bibr" rid="B43">2009</xref>; Krevor and Lackner, <xref ref-type="bibr" rid="B52">2009</xref>, <xref ref-type="bibr" rid="B54">2011</xref>) have been investigated to date. Although the extraction efficiencies are promising, the use of such strong acids may provoke significant energy penalties associated with their recovery (Teir et al., <xref ref-type="bibr" rid="B105">2007</xref>; Olajire, <xref ref-type="bibr" rid="B76">2013</xref>; Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). Furthermore, some acids such as succinic acid and disodium oxalate often chelate the alkaline metals too strongly, and this does not result in the production of carbonates, but rather the precipitation of succinates or oxalates (Bonfils et al., <xref ref-type="bibr" rid="B6">2012</xref>; Santos et al., <xref ref-type="bibr" rid="B92">2014</xref>).</p>
</sec>
<sec id="S3">
<title>Utilization of Precipitated Mineral Carbonates</title>
<p>The precipitated mineral carbonates and their derivatives present versatile applications in industrial uses depending on their purity, polymorphism, shape, size and distribution, color, brightness, density, and other many physicochemical properties. Therefore, such a transformation of CO<sub>2</sub> into value-added solid carbonates through <italic>ex situ</italic> mineral carbonation can partially offset the total cost of the carbon capture and storage process, thus making the mineral carbonation process more viable. In addition, the particular use of industrial waste materials (i.e., coal fly ash, steel and stainless-steel slags, and cement and lime kiln dusts) as mineral resources for mineral carbonation can offer an additional benefit providing environmental sustainable option of reuse and recycle of the waste materials.</p>
<p>The final products produced by the <italic>ex situ</italic> mineral carbonation route can be graded into two categories&#x02014;(i) low-end high-volume and (ii) high-end low-volume mineral carbonates, regarding market needs, as well as their properties (i.e., purity) (Sanna et al., <xref ref-type="bibr" rid="B90">2014</xref>). Further separation or purification processes are needed before and/or after precipitation steps in the mineral carbonation process for utilization, and thus an indirect process could be more suitable than a direct scheme since the former divides the mineral carbonation cation extraction step, followed by a separated precipitation step (Teir et al., <xref ref-type="bibr" rid="B104">2005</xref>). If necessary, synthesis variables such as temperature, pressure, pH, and concentration of the ingredients in the precipitation step should be manipulated to acquire specific mineral carbonates with targeted properties. It was revealed that high purity calcium or magnesium carbonate can be obtained by the indirect mineral carbonation process separating silica and iron oxide <italic>via</italic> a pH swing processes (Park and Fan, <xref ref-type="bibr" rid="B79">2004</xref>; Wang and Maroto-Valer, <xref ref-type="bibr" rid="B111">2011a</xref>,<xref ref-type="bibr" rid="B112">b</xref>; Sanna et al., <xref ref-type="bibr" rid="B89">2012</xref>).</p>
<p>Recently, a precipitated calcium carbonate (PCC) production technology utilizing steel converter (basic oxygen furnace) slag as a calcium source, referred to as Slag2PCC, has been developed and demonstrated successfully by researchers at Aalto university together with their collaborators (Said et al., <xref ref-type="bibr" rid="B88">2013</xref>, <xref ref-type="bibr" rid="B87">2016</xref>; Mattila et al., <xref ref-type="bibr" rid="B60">2014</xref>). The process includes ammonium salt (e.g., NH<sub>4</sub>Cl) based calcium extraction and carbonation steps, and it can be operated in both batch and continuous modes. This may be advantageous because the quality of the final product can be controlled by the operation conditions (i.e., concentration of <inline-formula><mml:math id="M5"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>NH</mml:mtext></mml:mrow><mml:mn>4</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M6"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>).</p>
<sec id="S3-1">
<title>Molecular Mechanism and Polymorph Formation of CaCO<sub>3</sub></title>
<p>Precipitated calcium carbonate exhibits various polymorphs with tunable physicochemical properties, which play a critical role in determining potential markets. Accordingly, more versatile applications of the products of mineral carbonation are anticipated particularly for calcium carbonate or its derivatives. In general, calcium carbonates exist either in the form of amorphous calcium carbonate (ACC) or one of the three polymorphs, namely, calcite, aragonite, and vaterite (Figure <xref ref-type="fig" rid="F1">1</xref>). Two hydrated phases of calcium carbonate, monohydrate (CaCO<sub>3</sub>&#x022C5;H<sub>2</sub>O), and hexahydrate of calcium carbonates (CaCO<sub>3</sub>&#x022C5;6H<sub>2</sub>O) are also possible forms of hydrated calcium carbonates. Recently, it was revealed that ACC normally exists as a monohydrated calcium carbonate (Goodwin et al., <xref ref-type="bibr" rid="B33">2010</xref>). Table <xref ref-type="table" rid="T2">2</xref> briefly presents the properties of the anhydrous crystalline forms of calcium carbonates.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Crystal structures of <bold>(A)</bold> calcite, <bold>(B)</bold> aragonite, and <bold>(C)</bold> vaterite. Ca atoms are displayed as large yellow balls, and carbonate groups are illustrated with gray (carbon) and red (oxygen) balls. Vaterite is depicted with a hexagonal <italic>P6<sub>3</sub>/mmc</italic> structure that accounts for a partial occupancy of one-third of the carbonate groups. Adapted with permission from Chang et al. (<xref ref-type="bibr" rid="B9">2017</xref>). Copyright 2017 American Chemical Society.</p></caption>
<graphic xlink:href="fenrg-05-00017-g001.tif"/>
</fig>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Properties of the anhydrous crystalline forms of calcium carbonates.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="center"/>
<th valign="top" align="center">Calcite<xref ref-type="table-fn" rid="tfn1"><sup>a</sup></xref></th>
<th valign="top" align="center">Aragonite<xref ref-type="table-fn" rid="tfn2"><sup>b</sup></xref></th>
<th valign="top" align="center">Vaterite<xref ref-type="table-fn" rid="tfn3"><sup>c</sup></xref></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Crystal structure</td>
<td align="center" valign="top">Hexagonal</td>
<td align="center" valign="top">Orthorhombic</td>
<td align="center" valign="top">Hexagonal</td>
</tr>
<tr>
<td align="left" valign="top">Space group</td>
<td align="center" valign="top"><inline-formula><mml:math id="M7"><mml:mrow><mml:mi>R</mml:mi><mml:mover accent='true'><mml:mn>3</mml:mn><mml:mo stretchy='true'>&#x000AF;</mml:mo></mml:mover><mml:mn>2</mml:mn><mml:mo>/</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></inline-formula></td>
<td align="center" valign="top"><italic>Pmcn</italic></td>
<td align="center" valign="top"><italic>P6</italic><sub>3</sub><italic>/mmc</italic></td>
</tr>
<tr>
<td align="left" valign="top">Solubility product (<italic>K<sub>sp</sub></italic>) at 25&#x000B0;C<xref ref-type="table-fn" rid="tfn4"><sup>d</sup></xref></td>
<td align="center" valign="top">12.242&#x02009;&#x000D7;&#x02009;10<sup>&#x02212;9</sup></td>
<td align="center" valign="top">4.623&#x02009;&#x000D7;&#x02009;10<sup>&#x02212;9</sup></td>
<td align="center" valign="top">3.319&#x02009;&#x000D7;&#x02009;10<sup>&#x02212;9</sup></td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Lattice parameter</td>
<td align="center" valign="top">a&#x02009;&#x0003D;&#x02009;b&#x02009;&#x0003D;&#x02009;4.990&#x02009;&#x000C5;</td>
<td align="center" valign="top">a&#x02009;&#x0003D;&#x02009;4.9598&#x02009;&#x000C5;</td>
<td align="center" valign="top">a&#x02009;&#x0003D;&#x02009;b&#x02009;&#x0003D;&#x02009;7.16&#x02009;&#x000C5;</td>
</tr>
<tr>
<td align="center" valign="top">c&#x02009;&#x0003D;&#x02009;17.061&#x02009;&#x000C5;</td>
<td align="center" valign="top">b&#x02009;&#x0003D;&#x02009;7.9641&#x02009;&#x000C5;</td>
<td align="center" valign="top">c&#x02009;&#x0003D;&#x02009;2.547&#x02009;&#x000C5;</td>
</tr>
<tr>
<td align="left" valign="top"/>
<td align="center" valign="top">c&#x02009;&#x0003D;&#x02009;5.7379&#x02009;&#x000C5;</td>
<td align="center" valign="top"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="tfn1"><p><italic><sup>a</sup>Deer et al. (<xref ref-type="bibr" rid="B17">1985</xref>)</italic>.</p></fn>
<fn id="tfn2"><p><italic><sup>b</sup>Dickens and Bowen (<xref ref-type="bibr" rid="B19">1971</xref>)</italic>.</p></fn>
<fn id="tfn3"><p><italic><sup>c</sup>Wang and Becker (<xref ref-type="bibr" rid="B110">2009</xref>)</italic>.</p></fn>
<fn id="tfn4"><p><italic><sup>d</sup>Beck and Andreassen (<xref ref-type="bibr" rid="B4">2010</xref>)</italic>.</p></fn></table-wrap-foot></table-wrap>
<p>Among the anhydrous polymorphs of CaCO<sub>3</sub>, calcite is thermodynamically the most stable at ambient conditions. The order of thermodynamic stability is, from most to least, calcite, aragonite, and vaterite (Declet et al., <xref ref-type="bibr" rid="B16">2016</xref>). Despite lower stabilities from a thermodynamic point of view, aragonite and vaterite can be formed at ambient conditions owing to the kinetic constraints induced by synthesis factors such as temperature and impurities (e.g., Mg) (Ogino et al., <xref ref-type="bibr" rid="B75">1987</xref>; Zhang et al., <xref ref-type="bibr" rid="B117">2012</xref>), which can lead to crystallization of less stable aragonite or the least stable vaterite rather than forming calcite. A number of mechanistic studies have been conducted thus far to reveal the transformation mechanisms among the CaCO<sub>3</sub> polymorphs (Kralj et al., <xref ref-type="bibr" rid="B51">1997</xref>; Spanos and Koutsoukos, <xref ref-type="bibr" rid="B100">1998</xref>; Katsifaras and Spanos, <xref ref-type="bibr" rid="B48">1999</xref>; Wei et al., <xref ref-type="bibr" rid="B113">2003</xref>; Rodriguez-Blanco et al., <xref ref-type="bibr" rid="B86">2011</xref>; Zhang et al., <xref ref-type="bibr" rid="B117">2012</xref>; Kabalah-Amitai et al., <xref ref-type="bibr" rid="B46">2013</xref>; Nielsen et al., <xref ref-type="bibr" rid="B69">2014</xref>). Although it is necessary to heat to temperature exceeding 730&#x02009;K for irreversible transformation of vaterite to calcite (Chang et al., <xref ref-type="bibr" rid="B9">2017</xref>), the least stable vaterite can be stabilized in an aqueous solution at ambient conditions preventing its transformation into calcite or aragonite (Trushina et al., <xref ref-type="bibr" rid="B106">2014</xref>). Despite ongoing debate (Kamhi, <xref ref-type="bibr" rid="B47">1963</xref>; Wang and Becker, <xref ref-type="bibr" rid="B110">2009</xref>; Kabalah-Amitai et al., <xref ref-type="bibr" rid="B46">2013</xref>), the formation of vaterite and its transformation mechanisms among the polymorphs can be explained in terms of sequential dissolution and (re)crystallization processes (Figure <xref ref-type="fig" rid="F2">2</xref>) (Kralj et al., <xref ref-type="bibr" rid="B51">1997</xref>; Spanos and Koutsoukos, <xref ref-type="bibr" rid="B100">1998</xref>; Katsifaras and Spanos, <xref ref-type="bibr" rid="B48">1999</xref>; Wei et al., <xref ref-type="bibr" rid="B113">2003</xref>): (i) initially formed ACC particles transform to the least stable vaterite and (ii) the most soluble vaterite undergoes dissolution and crystallization finally forming the most stable calcite. The solubility of the CaCO<sub>3</sub> polymorphs is in decreasing order of ACC, vaterite, aragonite, and calcite (Beck and Andreassen, <xref ref-type="bibr" rid="B4">2010</xref>). It was revealed that the ACC transformation into vaterite and calcite can be dominantly found below 40&#x000B0;C, while aragonite can be stabilized at elevated temperature above 60&#x000B0;C (Ogino et al., <xref ref-type="bibr" rid="B75">1987</xref>; Chen and Xiang, <xref ref-type="bibr" rid="B10">2009</xref>; Trushina et al., <xref ref-type="bibr" rid="B106">2014</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Polymorph formation mechanism of the precipitated calcium carbonate, adapted from Wei et al. (<xref ref-type="bibr" rid="B113">2003</xref>). It is being reproduced with permission from the copyright holder.</p></caption>
<graphic xlink:href="fenrg-05-00017-g002.tif"/>
</fig>
<p>Zhang et al. (<xref ref-type="bibr" rid="B117">2012</xref>) studied the formation mechanisms of aragonite in the presence of Mg<sup>2&#x0002B;</sup>. They revealed that Mg<sup>2&#x0002B;</sup> can promote the formation of aragonite rather than calcite. It was reported that the initially formed ACC by the reaction between Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M8"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> transformed into needle-like aragonite when the Mg<sup>2&#x0002B;</sup> concentration was low, while at a high concentration, CaCO<sub>3</sub>&#x022C5;H<sub>2</sub>O was preferentially formed. Since Mg<sup>2&#x0002B;</sup> has smaller ion diameter than Ca<sup>2&#x0002B;</sup>, the former shows stronger ability to form hydrate. Therefore, when Mg<sup>2&#x0002B;</sup> concentration is high enough, it will inhibit the formation of crystalline structures of CaCO<sub>3</sub>. In contrast, when Mg<sup>2&#x0002B;</sup> is incorporated into the calcite lattice, its thermodynamic stability is decreased while aragonite becomes stable in solution. The transformation mechanisms between ACC and aragonite in the presence of Mg<sup>2&#x0002B;</sup> have also been investigated in several other studies (Raymond et al., <xref ref-type="bibr" rid="B84">2007</xref>; Munemoto and Fukushi, <xref ref-type="bibr" rid="B67">2008</xref>).</p>
<p>Rodriguez-Blanco et al. (<xref ref-type="bibr" rid="B86">2011</xref>) investigated the kinetics of the transformation among the ACC, calcite, and vaterite using various spectroscopic techniques including <italic>in situ</italic> time-resolved energy dispersive X-ray diffraction in conjunction with high-resolution electron microscopy, <italic>ex situ</italic> X-ray diffraction, and infrared spectroscopy. They revealed that the second step of transforming metastable vaterite into stable calcite is the rate-determining step, which is controlled by the surface area of calcite <italic>via</italic> Ostwald ripening (Ostwald, <xref ref-type="bibr" rid="B77">1897</xref>), whereas the first dissolution step of ACC followed by transformation into vaterite occurs rapidly. According to Ostwald ripening, a redeposition of the dissolved small particles (e.g., vaterite) occurs at the large crystal surfaces (e.g., calcite) until they disappear and large particles become even larger. It was found that the solubility of each polymorph (e.g., calcite and vaterite) is the key factor controlling growth of calcite, and thus the solution can be supersaturated with respect to calcite, driving precipitation of the phase. Activation energies for calcite nucleation and crystallization were given as 73&#x02009;&#x000B1;&#x02009;10 and 66&#x02009;&#x000B1;&#x02009;2&#x02009;kJ/mol, respectively.</p>
<p>The effect of impurities on the transformation of CaCO<sub>3</sub> polymorphs was investigated in the presence of Mg ions by Zhang et al. (<xref ref-type="bibr" rid="B117">2012</xref>). It was revealed that the presence of Mg<sup>2&#x0002B;</sup> in low concentrations promotes the transformation of ACC particles into the thermodynamically less stable aragonite rather than forming calcite, while at a high Mg<sup>2&#x0002B;</sup> concentration, monohydrated CaCO<sub>3</sub> is favorably formed. They suggested that the presence of Mg ions decreases the thermodynamic stability of calcite through inclusion of the lattice of calcite owing to the Mg ions&#x02019; stronger hydrate ability, resulting in preferential formation of aragonite in solution. In contrast, Ca<sup>2&#x0002B;</sup> can be substituted by Mg<sup>2&#x0002B;</sup> in the calcite lattice since Ca<sup>2&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup> are interchangeable (Park et al., <xref ref-type="bibr" rid="B81">2008</xref>). As a result, a magnesian calcite ((Ca,Mg)CO<sub>3</sub>) also can be formed in the presence of Mg<sup>2&#x0002B;</sup>.</p>
</sec>
<sec id="S3-2">
<title>Synthesis Variables and Their Effects on the Formation of CaCO<sub>3</sub></title>
<p>The anhydrous crystalline polymorphs of CaCO<sub>3</sub> strongly depend on the synthesis variables such as temperature, pressure, pH of the solution, reaction time, degree of supersaturation, ion concentration and ratio, ionic strength, stirring, type and concentration of additives, and feeding order (Tai and Chen, <xref ref-type="bibr" rid="B103">1998</xref>; Jung et al., <xref ref-type="bibr" rid="B45">2000</xref>; Garc&#x000ED;a-Carmona et al., <xref ref-type="bibr" rid="B27">2003a</xref>,<xref ref-type="bibr" rid="B28">b</xref>; Shen et al., <xref ref-type="bibr" rid="B97">2006</xref>; Meldrum and C&#x000F6;lfen, <xref ref-type="bibr" rid="B62">2008</xref>; Chen and Xiang, <xref ref-type="bibr" rid="B10">2009</xref>; Fuchigami et al., <xref ref-type="bibr" rid="B24">2009</xref>; Ren et al., <xref ref-type="bibr" rid="B85">2011</xref>; Chu et al., <xref ref-type="bibr" rid="B12">2013</xref>; Zhao et al., <xref ref-type="bibr" rid="B118">2013</xref>; Jiang et al., <xref ref-type="bibr" rid="B44">2014</xref>; &#x00160;ev&#x0010D;&#x000ED;k et al., <xref ref-type="bibr" rid="B96">2015</xref>; Chang et al., <xref ref-type="bibr" rid="B9">2017</xref>). Although the formation of CaCO<sub>3</sub> can be achieved by a simple precipitation reaction between Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M9"><mml:mrow><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ions, the controllable formation of a specific polymorph of CaCO<sub>3</sub> is still a practical challenge. Various synthesis factors and their effects on the formation of CaCO<sub>3</sub> polymorphs have been investigated thus far using simple model chemicals (e.g., CaCl<sub>2</sub> and K<sub>2</sub>CO<sub>3</sub>), or <italic>via</italic> the extraction of Ca<sup>2&#x0002B;</sup> from natural silicates (e.g., wollastonite) (Zhao et al., <xref ref-type="bibr" rid="B118">2013</xref>), and industrial wastes (e.g., steel slag, fly ash, waste cement, and blast furnace slag) (Wu et al., <xref ref-type="bibr" rid="B115">2001</xref>; Huijgen and Comans, <xref ref-type="bibr" rid="B36">2005</xref>; Eloneva et al., <xref ref-type="bibr" rid="B20">2008a</xref>; Chang et al., <xref ref-type="bibr" rid="B8">2011</xref>; Nduagu et al., <xref ref-type="bibr" rid="B68">2012</xref>; Mun and Cho, <xref ref-type="bibr" rid="B66">2013</xref>).</p>
<sec id="S3-2-1">
<title>Effect of Temperature on the Formation of CaCO<sub>3</sub> Polymorphs</title>
<p>While the synthesis factors affect the formation of polymorphs in multiple and interacting ways, temperature is considered the most critical factor affecting the formation of the polymorphs of CaCO<sub>3</sub>. Ogino et al. (<xref ref-type="bibr" rid="B75">1987</xref>) investigated the precipitation of highly supersaturated solutions of Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M10"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ions and revealed that initially formed ACC transformed into crystalline polymorphs of CaCO<sub>3</sub>, particularly forming vaterite and calcite at low temperature (14&#x02013;30&#x000B0;C) and forming aragonite and calcite at high temperature (60&#x02013;80&#x000B0;C) at pH&#x02009;&#x0003E;&#x02009;10. The complete transformation of metastable vaterite into calcite was achieved after about 200&#x02009;min at 25&#x000B0;C, and aragonite was completely transformed into calcite after about 1,000&#x02013;1,300&#x02009;min at 60&#x02013;80&#x000B0;C.</p>
<p>Chen and Xiang (<xref ref-type="bibr" rid="B10">2009</xref>) also investigated the effect of temperature on the formation of CaCO<sub>3</sub> polymorphs by double injection of model chemicals of CaCl<sub>2</sub> and NH<sub>4</sub>HCO<sub>3</sub> solutions (0.125&#x02013;0.25&#x02009;mol/l) with a molar ratio of 1:1 at a stirring rate of 450&#x02009;rpm and temperature ranging from 30 to 80&#x000B0;C. During the precipitations, pH was monitored and the values ranged from 7.03 to 7.48. They found that the vaterite content at 30, 60, 70, and 80&#x000B0;C was 98.6, 74.6, 19.6, and 0%, respectively, whereas the molar content of calcite was lower than 4.4% in this temperature range. The aragonite whiskers formed at 50&#x000B0;C, and the content increased with an increase of temperature. They concluded that the formation of lamellar vaterite at 30&#x02013;40&#x000B0;C and whisker aragonite at higher temperatures was due to the decrease of <inline-formula><mml:math id="M11"><mml:mrow><mml:mo stretchy='false'>[</mml:mo><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy='false'>]</mml:mo><mml:mo>/</mml:mo><mml:mo stretchy='false'>[</mml:mo><mml:mtext>C</mml:mtext><mml:msup><mml:mtext>a</mml:mtext><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo stretchy='false'>]</mml:mo></mml:mrow></mml:math></inline-formula> values with the increase of temperature, which they determined by thermodynamic calculations.</p>
<p>Chu et al. (<xref ref-type="bibr" rid="B12">2013</xref>) examined CO<sub>2</sub> mineralization into different polymorphs of CaCO<sub>3</sub> using an aqueous CO<sub>2</sub> systems employing CaCl<sub>2</sub> and sterically hindered 2-amino 2-(hydroxymethly)-1,3-propanediol with or without carbonic anhydrase enzyme. They examined precipitation of CaCO<sub>3</sub> for an equimolar system of Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M12"><mml:mrow><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> ions over 120&#x02009;min with temperature ranging from 15 to 75&#x000B0;C. At 15&#x000B0;C, vaterite was the major polymorph of CaCO<sub>3</sub> showing at 90%. In contrast, aragonite and calcite became dominant phases at 75&#x000B0;C. The composition of calcite increased with temperature up to 40&#x000B0;C, whereas the fraction of vaterite decreased in the same temperature range.</p>
<p>&#x00160;ev&#x0010D;&#x000ED;k et al. (<xref ref-type="bibr" rid="B96">2015</xref>) attempted to reveal the optimal synthesis conditions for preparing pure vaterite using CaCl<sub>2</sub>&#x022C5;2H<sub>2</sub>O and K<sub>2</sub>CO<sub>3</sub> solutions. They performed a quantitative analysis by the Rietveld method employing powder X-ray diffraction (PXRD) with the assumption that vaterite exhibits two crystal structures, the well-established hexagonal structure (space group: <italic>P6</italic><sub><italic>3</italic></sub>/<italic>mmc</italic>) (Meyer, <xref ref-type="bibr" rid="B63">1959</xref>) and triclinic structure (space group <italic>C1</italic>) proposed by Demichelis et al. (<xref ref-type="bibr" rid="B18">2013</xref>). However, the exact crystal structure of vaterite is still under debate due to the difficulties in obtaining large, pure, single crystals of vaterite (Kamhi, <xref ref-type="bibr" rid="B47">1963</xref>; Mugnaioli et al., <xref ref-type="bibr" rid="B65">2012</xref>; Kabalah-Amitai et al., <xref ref-type="bibr" rid="B46">2013</xref>). Although there is uncertainty regarding the structure of vaterite, &#x00160;ev&#x0010D;&#x000ED;k et al. reported that pure vaterite (&#x02265;99&#x02009;wt%), which is composed of 45.7% of hexagonal vaterite and 54.2% triclinic vaterite, could be obtained at 60&#x000B0;C and 600&#x02009;rpm based on Rietveld analysis results.</p>
<p>Recently, Chang et al. examined the effect of temperatures on CaCO<sub>3</sub> polymorphs under controlled pH and <inline-formula><mml:math id="M13"><mml:mrow><mml:mo stretchy='false'>[</mml:mo><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy='false'>]</mml:mo><mml:mo>/</mml:mo><mml:mo stretchy='false'>[</mml:mo><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:mo stretchy='false'>]</mml:mo></mml:mrow></mml:math></inline-formula> ratios using CaCl<sub>2</sub> and K<sub>2</sub>CO<sub>3</sub> solutions <italic>via</italic> ATR FT-IR and PXRD spectroscopies at 25, 50, and 80&#x000B0;C, stirring at 350&#x02009;rpm (Chang et al., <xref ref-type="bibr" rid="B9">2017</xref>). They confirmed that vaterite is a major component together with calcite at 25&#x000B0;C, and particularly at higher pH (&#x0007E;11) vaterite became the most dominant species. In contrast, at higher temperature of 80&#x000B0;C, aragonite was dominantly observed. Figure <xref ref-type="fig" rid="F3">3</xref> illustrates the morphological structures of CaCO<sub>3</sub>.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>SEM images of CaCO<sub>3</sub>: <bold>(A)</bold> spherical vaterite, <bold>(B)</bold> cubic calcite and rosette-shaped aragonite, and <bold>(C)</bold> needle-like aragonite. <bold>(D)</bold> Image of structural transformation of vaterite (small spherical particles) into calcite (planar arrays). Adapted with permission from Chang et al. (<xref ref-type="bibr" rid="B9">2017</xref>). Copyright 2017 American Chemical Society.</p></caption>
<graphic xlink:href="fenrg-05-00017-g003.tif"/>
</fig>
<p>The effect of temperature on CaCO<sub>3</sub> polymorphs was also investigated by Zhao et al. (<xref ref-type="bibr" rid="B118">2013</xref>). They synthesized PCC by using a calcium-bearing silicate mineral, wollastonite, <italic>via</italic> two steps of Ca source extraction and carbonation. The Ca source was extracted by using 1&#x02009;M acetic acid, and the leachate was reacted with 0.25&#x02009;M K<sub>2</sub>CO<sub>3</sub> solution at 800&#x02009;rpm for 30&#x02009;min under two different reaction temperatures of 22 and 82&#x000B0;C for CaCO<sub>3</sub> formation. The prepared CaCO<sub>3</sub> particles were then quantitatively analyzed by employing PXRD. They revealed that at 22&#x000B0;C the CaCO<sub>3</sub> particles were a mixture of calcite (24&#x02009;wt%) and vaterite (76&#x02009;wt%). By contrast, the sample synthesized at 82&#x000B0;C contained 87&#x02009;wt% of aragonite with 13&#x02009;wt% of calcite.</p>
<p>Said et al. (<xref ref-type="bibr" rid="B88">2013</xref>) synthesized PCC through a reaction between CO<sub>2</sub> gas and Ca source extracted from steelmaking slag that contained 44.99&#x02009;wt% of CaO. The Ca source was extracted by various ammonium salts such as ammonium nitrate (NH<sub>4</sub>NO<sub>3</sub>), ammonium acetate (CH<sub>3</sub>COONH<sub>4</sub>), and ammonium chloride (NH<sub>4</sub>Cl), and the leachates were reacted with bubbled CO<sub>2</sub> gas (1&#x02009;l/min) at 30&#x000B0;C under a magnetic stirrer operated at 600&#x02009;rpm.</p>
<p>Although the temperature is the major synthesis factor determining the polymorphs of CaCO<sub>3</sub>, other factors such as pH, concentration of ions, impurities, and CO<sub>2</sub> flow rate also compositively interact in the precipitation and crystallization processes. For instance, aragonite, which is generally formed at elevated temperature, can be obtained at lower temperature in the presence of impurities such as magnesium (Park et al., <xref ref-type="bibr" rid="B81">2008</xref>). Said et al. (<xref ref-type="bibr" rid="B87">2016</xref>) also demonstrated aragonite PCC production <italic>via</italic> the Slag2PCC process. In order to avoid the evaporation of ammonia (NH<sub>3</sub>) in the NH<sub>4</sub>Cl solution, the operation was conducted at 45&#x000B0;C. Instead, the CO<sub>2</sub> flow rate was optimized to obtain aragonite rather than rhombohedral calcite.</p>
</sec>
<sec id="S3-2-2">
<title>Effect of pH on the Formation of CaCO<sub>3</sub> Polymorphs</title>
<p>Solution pH is one of the important factors determining polymorphs of CaCO<sub>3</sub>, affecting not only the equilibrium concentration of carbonate species (e.g., <inline-formula><mml:math id="M14"><mml:mrow><mml:mtext>HC</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mo>&#x02212;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M15"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) but also the Ca&#x02212;CO<sub>3</sub> binding strength. In particular, the change in the Ca&#x02212;CO<sub>3</sub> binding strength is considered to play a significant role in the formation of CaCO<sub>3</sub> polymorphs, influencing the dissolution behavior of each polymorph including ACC, which later converts into a specific polymorph of CaCO<sub>3</sub> (Gebauer et al., <xref ref-type="bibr" rid="B29">2008</xref>).</p>
<p>G&#x000F3;mez-Morales et al. (<xref ref-type="bibr" rid="B31">1996a</xref>,<xref ref-type="bibr" rid="B32">b</xref>) attempted to compared polymorphs according to different initial pH conditions using 0.0134&#x02009;M CaCl<sub>2</sub>&#x022C5;2H<sub>2</sub>O and 0.04&#x02009;M K<sub>2</sub>CO<sub>3</sub>/KHCO<sub>3</sub> at 25&#x000B0;C, with stirring at 2,000&#x02009;rpm. In particular, the pH conditions were adjusted from 7.8 to 10 using KOH and HCl solutions. In their experiments, vaterite was observed under pH lower than 9.3. However, when the pH exceeded 9.3, calcite was started to be produced together with vaterite. Therefore, calcite was expected to form at higher pH. These results partially agree with the work performed by Tai and Chen (<xref ref-type="bibr" rid="B103">1998</xref>). They investigated the formation of CaCO<sub>3</sub> polymorphs in a pH range of 8.0&#x02013;12.5 using CaCl<sub>2</sub> and Na<sub>2</sub>CO<sub>3</sub> solutions at temperature of 7, 24, and 58&#x000B0;C with stirring at 800&#x02009;rpm. Their results also indicate that the calcite was produced as the pH increased. However, pure calcite formed in a different pH range depending on the reaction temperature. At 7&#x000B0;C, vaterite and calcite formed at pH&#x02009;&#x02264;&#x02009;11 and pure calcite formed at pH&#x02009;&#x0003E;&#x02009;11. At 24&#x000B0;C, pure calcite, aragonite, and vaterite were obtained at pH&#x02009;&#x0003E;&#x02009;12, pH&#x02009;&#x0003D;&#x02009;11, and pH&#x02009;&#x0003C;&#x02009;10, respectively. At 58&#x000B0;C, aragonite and calcite precipitated at pH&#x02009;&#x02264;&#x02009;11 and pure calcite precipitated at pH&#x02009;&#x0003E;&#x02009;11. They also investigated the effect of ionic strength. It was observed that as the ionic strength was increased, the yield of calcite decreased, whereas the yield of aragonite increased even at conditions where calcite favorably formed.</p>
<p>Recently, Ramakrishna et al. (<xref ref-type="bibr" rid="B83">2016</xref>) observed the formation of polymorphs according to the temperature, reaction time, and pH using 0.1&#x02009;M CaCl<sub>2</sub> and 0.1&#x02009;M Na<sub>2</sub>CO<sub>3</sub> solutions at 25 to 50&#x000B0;C and at pH 10&#x02013;12. They reported that pH 10 is the most suitable condition for obtaining pure aragonite, whereas calcite became the dominant polymorph when pH exceeded 10. Overall, calcite is favorably formed at high pH conditions, in general, greater than pH 11. However, aragonite is preferentially obtainable in a pH range of 9&#x02013;11. At low pH conditions, typically below than pH 8, vaterite is favored (Han et al., <xref ref-type="bibr" rid="B34">2005</xref>).</p>
<p>The production of PCC using steel converter slag <italic>via</italic> the slag2PCC process was investigated by Zevenhoven and coworkers (Eloneva et al., <xref ref-type="bibr" rid="B21">2008b</xref>; Said et al., <xref ref-type="bibr" rid="B88">2013</xref>, <xref ref-type="bibr" rid="B87">2016</xref>; Mattila and Zevenhoven, <xref ref-type="bibr" rid="B61">2014</xref>). The slag2PCC process includes two stages of Ca extraction and carbonation, based on the recirculation of an aqueous ammonium salt solution (Mattila and Zevenhoven, <xref ref-type="bibr" rid="B61">2014</xref>). The ammonium salt solvent extract Ca from CaO or Ca(OH)<sub>2</sub>, and then it is reacted with CO<sub>2</sub> gas. Said et al. (<xref ref-type="bibr" rid="B88">2013</xref>) conducted the Ca extraction by using mixtures of ammonium salts including NH<sub>4</sub>NO<sub>3</sub>, CH<sub>3</sub>COONH<sub>4</sub>, or NH<sub>4</sub>Cl and the extractant was precipitated in the carbonation process for 60&#x02009;min with bubbling CO<sub>2</sub> gas of 1&#x02009;l/min at 30&#x000B0;C. The initial pH condition for the carbonation was &#x0007E;8.5, and it was then stabilized to &#x0007E;6 (Said et al., <xref ref-type="bibr" rid="B88">2013</xref>). Interestingly, however, the final PCC product was found to be rhombohedral calcite, rather than vaterite or aragonite, which often have been found at similar pH ranges in the previous model chemical studies. They also synthesized calcium carbonates <italic>via</italic> the slag2PCC process by varying the CO<sub>2</sub> flow rate in a pH range of &#x0007E;9 to &#x0007E;7 at 45&#x000B0;C, and it was found that both calcite and aragonite formed but the composition ratio depended more strongly on the CO<sub>2</sub> flow rate than the pH condition (Said et al., <xref ref-type="bibr" rid="B87">2016</xref>). In conclusion, pH condition affects the formation of polymorphs of calcium carbonate by shifting the equilibrium concentration of coronate species (e.g., <inline-formula><mml:math id="M16"><mml:mrow><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mn>3</mml:mn><mml:mo>&#x02212;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M17"><mml:mrow><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) or changing the Ca&#x02212;CO<sup>3</sup> binding strength, but other operating factors such as temperature, CO<sub>2</sub> flow rate, presence of acid and bases, and carbonation time also appear to more significantly influence the determination of the polymorphs (Saruhashi, <xref ref-type="bibr" rid="B93">1955</xref>; G&#x000F3;mez-Morales et al., <xref ref-type="bibr" rid="B31">1996a</xref>,<xref ref-type="bibr" rid="B32">b</xref>).</p>
</sec>
<sec id="S3-2-3">
<title>Effect of Other Factors on the Formation of CaCO<sub>3</sub> Polymorphs</title>
<p>Other synthesis factors such as reaction time, stirring rate, impurities, and ultrasound treatment are also known to influence the formation of CaCO<sub>3</sub> polymorphs. Reaction (aging) time is another important factor determining the size and shape as well as the polymorphs of CaCO<sub>3</sub>, by influencing the dissolution and recrystallization of crystals. Rodriguez-Blanco et al. (<xref ref-type="bibr" rid="B86">2011</xref>) investigated the kinetics of CaCO<sub>3</sub> crystallization focusing on the transformation of ACC to stable calcite, <italic>via</italic> vaterite using synchrotron-based <italic>in situ</italic> time-resolved energy dispersive X-ray diffraction (ED-XRD). 1&#x02009;M Na<sub>2</sub>CO<sub>3</sub> and CaCl<sub>2</sub> solutions (<inline-formula><mml:math id="M18"><mml:mrow><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup><mml:mo>:</mml:mo><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:mrow></mml:math></inline-formula>&#x02009;&#x0003D;&#x02009;1:1 ratio) were reacted at 7.5&#x02013;25&#x000B0;C for 20&#x02009;h, and they were monitored through <italic>in situ</italic> ED-XRD. They were differentiated into two stages, ACC to vaterite and vaterite to calcite transformations. They concluded that the precipitation process occurred in two stages: first, the initially formed ACC particles, which were confirmed as CaCO<sub>3</sub>&#x022C5;H<sub>2</sub>O, rapidly dehydrated and crystallized to form metastable vaterite; second, the formed vaterite then transformed to stable calcite <italic>via</italic> dissolution and reprecipitation. The second stage of the reaction was confirmed to be too slow compared with the first stage: the maximum yield of vaterite in the first stage was obtained after &#x0007E;1&#x02009;h for the case at 7.5&#x000B0;C, whereas the reaction rate of the second stage was approximately 10 times slower than that of the first stage. Zhao et al. (<xref ref-type="bibr" rid="B119">2015</xref>) also investigated the effect of reaction time on the crystallization of CaCO<sub>3</sub> using a Ca(OH)<sub>2</sub> solution at temperature of 60&#x02013;120&#x000B0;C. The composition of the polymorphs was analyzed by using PXRD. They observed the formation of vaterite at the initial reaction; however, when the reaction time was increased to 4&#x02009;h, calcite was found, although vaterite was still the dominant phase. They concluded that the reaction time more strongly affects the size and shape of the CaCO<sub>3</sub>.</p>
<p>The stirring rate in the precipitation of CaCO<sub>3</sub> process affects the particle size and morphologies of the polymorphs. Yan et al. (<xref ref-type="bibr" rid="B116">2009</xref>) examined the effect of the stirring rate on the precipitation of the CaCl<sub>2</sub> and Na<sub>2</sub>CO<sub>3</sub> solution with varying stirring rate (50&#x02013;1,000&#x02009;rpm). At a lower stirring speed (100&#x02009;rpm), calcite phase was dominantly observed, and a further increase of stirring speed led to the formation of vaterite. Similar results were also observed in a work performed by &#x00160;ev&#x0010D;&#x000ED;k et al. (<xref ref-type="bibr" rid="B96">2015</xref>). During the precipitation of the CaCl<sub>2</sub>&#x022C5;2H<sub>2</sub>O and K<sub>2</sub>CO<sub>3</sub> solutions at a constant temperature of 60&#x000B0;C, lower stirring speed (200&#x02009;rpm) generated a significant amount of calcite phase (36.3&#x02009;wt%), whereas vaterite became dominant (&#x02265;98&#x02009;wt%) at higher stirring speeds of 400 and 600&#x02009;rpm. Although the stirring rate has relatively minor effect on the formation of CaCO<sub>3</sub> polymorphs compared to other factors such as temperature, it often influences the hydrodynamics on the particle dynamics (Han et al., <xref ref-type="bibr" rid="B35">2006</xref>). Han et al. observed that at low stirring rate, fine ACC particles were formed and then densely agglomerated. This could be ascribed to the total surface free energy: because the initially formed fine particles were unstable due to their high surface free energy, the fine crystals tended to aggregate to achieve a minimum total surface free energy.</p>
<p>The impurities are also known to significantly influence the formation of CaCO<sub>3</sub> particles. Since the <italic>ex situ</italic> mineral carbonation process utilizes calcium and magnesium sources extracted from naturally occurring silicate minerals or industrial by-products/wastes, various impurities could be included in the carbonation step if a proper separation process is not provided. Therefore, providing an efficient impurity (e.g., magnesium, aluminum, and silica) separation method is an important step to ensure profitable marketability of PCC. De Crom et al. (<xref ref-type="bibr" rid="B15">2015</xref>) proposed a three-step process of PCC production using blast furnace slag. The process includes a physicochemical removal step for impurities from the leachate by employing temperature reduction (20&#x02009;&#x02192;&#x02009;1&#x000B0;C) and pH elevation (4.4&#x02009;&#x02192;&#x02009;8.4) with the aim of selectively precipitating Al, Mg, and Si, prior to PCC carbonation. Reportedly, it was possible to obtain a chemically pure PCC (&#x0003E;98% Ca) with a uniform scalenohedral morphology (&#x0003E;88% calcite) and a narrow (1.09 uniformity), small (<italic>D</italic><sub>50</sub>&#x02009;&#x0003D;&#x02009;1.1&#x02009;&#x000B5;m) particle size distribution. Morandeau and White (<xref ref-type="bibr" rid="B64">2015</xref>) investigated the effect of MgO content in the mineral carbonation using blast furnace slag. They showed that with a high MgO content, the PCC favorably formed ACC rather than calcite or vaterite.</p>
<p>An ultrasound irradiation technique has been applied to the formation of CaCO<sub>3</sub> polymorphs (Price et al., <xref ref-type="bibr" rid="B82">2011</xref>; Stoica-Guzun et al., <xref ref-type="bibr" rid="B101">2012</xref>; Wagterveld et al., <xref ref-type="bibr" rid="B109">2012</xref>; Njegi&#x00107; D&#x0017E;akula et al., <xref ref-type="bibr" rid="B70">2014</xref>). The use of ultrasound can help control the crystallization process, and this is referred to as sonocrystallization (de Castro and Priego-Capote, <xref ref-type="bibr" rid="B14">2007</xref>). Price et al. (<xref ref-type="bibr" rid="B82">2011</xref>) investigated the precipitation of calcium carbonate applying ultrasound. Saturated solutions of CaCl<sub>2</sub> and NaHCO<sub>3</sub> were used for the precipitation, employing ultrasound (20&#x02009;kHz, intensity ranging from 1.5 to 18.5&#x02009;W cm<sup>&#x02212;2</sup>). It was found that at low ultrasound intensity vaterite was dominantly obtained, but at higher intensities the yields approached 100% calcite. Aragonite only formed at the high-intensity ultrasonic irradiation conditions. Wagterveld et al. (<xref ref-type="bibr" rid="B109">2012</xref>) also examined the effect of ultrasonic treatment on the early growth during CaCO<sub>3</sub> precipitation. The results revealed that applying ultrasonic treatment helped increase the available surface area for polymorph growth, resulting in a higher volumetric precipitation rate. It was also reported that a more uniform size distribution of the precipitated polymorphs could be anticipated.</p>
<p>Controlling the size and shape of CaCO<sub>3</sub> is one of the most important factors when producing a PCC since it determines the quality of the PCC. The particle size is compositively affected by various factors such as temperature, pH, additive types (impurities), concentration of calcium and CO<sub>2</sub>, solvent ratio, CO<sub>2</sub> flow rate, stirring rate, and reaction time (Boyjoo et al., <xref ref-type="bibr" rid="B7">2014</xref>). Bang et al. (<xref ref-type="bibr" rid="B2">2012</xref>) investigated the specific surface area and particle size of CaCO<sub>3</sub> by bubbling CO<sub>2</sub> in Ca(OH)<sub>2</sub> solutions. They found that the Ca(OH)<sub>2</sub> concentration and the CO<sub>2</sub> flow rate significantly influenced the specific surface area, as well as the size of primary and secondary CaCO<sub>2</sub> particles. Specifically, as the Ca(OH)<sub>2</sub> concentration was increased (from 0.05 to 0.50&#x02009;M), the BET surface area increased (from &#x0007E;5 to &#x0007E;25&#x02009;m<sup>2</sup>/g), whereas as the CO<sub>2</sub> flow rate was increased, the BET surface area decreased. The primary particle size of the CaCO<sub>3</sub> also gradually increased with an increase of the CO<sub>2</sub> flow rate at a low Ca(OH)<sub>2</sub> concentration, but the tendency became weak at high Ca(OH)<sub>2</sub> concentration. They also revealed that the CO<sub>2</sub> bubble size also affected the particle size and specific surface area (Bang et al., <xref ref-type="bibr" rid="B3">2015</xref>).</p>
</sec>
</sec>
</sec>
<sec id="S4">
<title>Conclusion</title>
<p>Because <italic>ex situ</italic> mineral carbonation entails a series of chemical processes above ground <italic>via</italic> reactions between CO<sub>2</sub> and alkaline earth metals such as calcium or magnesium that are extracted not only from naturally occurring silicate minerals, i.e., wollastonite, olivine, and serpentine, but also industrial by-products or waste materials, i.e., coal fly ash, steel and stainless-steel slags, and cement and lime kiln dusts, it offers a number of advantages over the <italic>in situ</italic> mineral carbonation route. First, this technique allows the utilization of alkaline-metal feedstock extracted from industrial wastes. Therefore, it could provide an appropriate method for proper disposal or for recycling of the industrial wastes. Second, the final products, i.e., CaCO<sub>3</sub>, can be converted to value-added materials that can be utilized in various applications such as adhesives, sealants, food and pharmaceuticals, paints, coatings, paper, cements, and construction materials. The precipitate calcium carbonate quality is of utmost importance for practical implementation of an <italic>ex situ</italic> mineral carbonation because it could partly offset the total cost of CCS.</p>
<p>In this review, we addressed the key factors affecting the formation of CaCO<sub>3</sub> polymorphs, including temperature, pH, concentration, reaction time, stirring, impurities, and ultrasound, particularly focusing on model chemical studies. Although the precipitation of CaCO<sub>3</sub> involves a simple reaction between Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M19"><mml:mrow><mml:mtext>C</mml:mtext><mml:msubsup><mml:mtext>O</mml:mtext><mml:mn>3</mml:mn><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x02212;</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, the polymorphs of CaCO<sub>3</sub> and its derivatives with various physicochemical properties can be determined by the mutual relations among the synthesis factors. Therefore, a careful review of how each factor affects the polymorphs of CaCO<sub>3</sub> could offer insight into the creation of highly value-added CaCO<sub>3</sub> and its emerging applications for economically viable deployment. Further efforts to precisely control the morphology, agglomeration, and particle size distribution as well as polymorphs of the PCCs <italic>via</italic> research on the carbonation kinetics should be made together with designing demonstration processes for commercializing the technology.</p>
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<sec id="S5">
<title>Notice</title>
<p>All appropriate permissions have been obtained from the copyright holders of any work that has been reproduced in the manuscript.</p>
</sec>
<sec id="S6" sec-type="author-contributor">
<title>Author Contributions</title>
<p>The manuscript was written through contributions of all authors.</p>
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<sec id="S7">
<title>Conflict of Interest Statement</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>
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<ack>
<p>This work was supported by the &#x0201C;Climate Technology Development and Application&#x0201D; research project (K07701) through a grant provided by GIST in 2017.</p>
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