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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">EJM</journal-id><journal-title-group>
    <journal-title>European Journal of Mineralogy</journal-title>
    <abbrev-journal-title abbrev-type="publisher">EJM</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Eur. J. Mineral.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1617-4011</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/ejm-33-357-2021</article-id><title-group><article-title>Chapmanite [Fe<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>Sb(Si<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M3" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH)]: thermodynamic properties and formation in low-temperature environments</article-title><alt-title>Thermodynamics of chapmanite</alt-title>
      </title-group><?xmltex \runningtitle{Thermodynamics of chapmanite}?><?xmltex \runningauthor{J. Majzlan et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Majzlan</surname><given-names>Juraj</given-names></name>
          <email>juraj.majzlan@uni-jena.de</email>
        <ext-link>https://orcid.org/0000-0002-9151-4394</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kiefer</surname><given-names>Stefan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lilova</surname><given-names>Kristina</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Subramani</surname><given-names>Tamilarasan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Navrotsky</surname><given-names>Alexandra</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Dachs</surname><given-names>Edgar</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Benisek</surname><given-names>Artur</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Geosciences, Friedrich Schiller University, Burgweg 11, 07749 Jena, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Molecular Sciences and Center for Materials of the Universe, Arizona State University,  <?xmltex \hack{\break}?>Tempe, Arizona 85287, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Chemistry and Physics of Materials, University of Salzburg, <?xmltex \hack{\break}?>Jakob-Haringer-Str. 2a, 5020 Salzburg, Austria</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Juraj Majzlan (juraj.majzlan@uni-jena.de)</corresp></author-notes><pub-date><day>2</day><month>July</month><year>2021</year></pub-date>
      
      <volume>33</volume>
      <issue>4</issue>
      <fpage>357</fpage><lpage>371</lpage>
      <history>
        <date date-type="received"><day>18</day><month>March</month><year>2021</year></date>
           <date date-type="rev-recd"><day>1</day><month>June</month><year>2021</year></date>
           <date date-type="accepted"><day>4</day><month>June</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Juraj Majzlan et al.</copyright-statement>
        <copyright-year>2021</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <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 xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021.html">This article is available from https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021.html</self-uri><self-uri xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021.pdf">The full text article is available as a PDF file from https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e186">In this work, we have determined or evaluated thermodynamic properties of synthetic Sb<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, MgSb<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> (analogue of the mineral byströmite), Mg[Sb(OH)<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (brandholzite), and natural chapmanite [(Fe<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub></mml:math></inline-formula>Al<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub></mml:math></inline-formula>)Sb(Si<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M15" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH)]. Enthalpies of reactions, including formation enthalpies, were evaluated using reference compounds Sb, Sb<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Sb<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, and other phases, with high-temperature oxide melt solution calorimetry in lead borate and sodium molybdate solvents. Heat capacity and entropy were determined by relaxation and differential scanning calorimetry. The best set of <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> (kJ mol<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> (J mol<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is byströmite <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1733.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">139.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula>; brandholzite <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5243.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mn mathvariant="normal">571.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula>; and chapmanite <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3164.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mn mathvariant="normal">305.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula>. The data for chapmanite give <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>G</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2973.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.10</mml:mn></mml:mrow></mml:math></inline-formula> for the dissolution reaction (Fe<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub></mml:math></inline-formula>Al<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub></mml:math></inline-formula>)Sb(Si<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH) <inline-formula><mml:math id="M41" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 6H<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula> 1.88Fe<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M44" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 0.12Al<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2SiO<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M48" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Sb(OH)<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2H<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. Analysis of the data showed that chapmanite is finely balanced in terms of its stability with schafarzikite (FeSb<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) and tripuhyite (FeSbO<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) under a specific, narrow range of conditions when both aqueous Fe(III) and Sb(III) are abundant. In such a model, chapmanite is metastable by a narrow margin but could be stabilized by high SiO<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>(aq) activities. Natural assemblages of chapmanite commonly contain abundant amorphous silica, suggesting that this mechanism may be indeed responsible for the formation of chapmanite. Chapmanite probably forms during low-temperature hydrothermal overprint of pre-existing Sb ores under moderately reducing conditions; the slightly elevated temperatures may help to overcome the kinetic barrier for its crystallization. During weathering, sheet silicates may adsorb Sb<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> in tridentate hexanuclear fashion, thus exposing their chapmanite-like surfaces to the surrounding aqueous environment. Formation of chapmanite, as many other sheet silicates, under ambient conditions, is unlikely.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e754">Antimony is an element that enters into both quite soluble and quite insoluble minerals as it moves through the aqueous environment. The solubility of such reservoirs was previously quantified by <xref ref-type="bibr" rid="bib1.bibx18" id="text.1"/>, <xref ref-type="bibr" rid="bib1.bibx16" id="text.2"/>, <xref ref-type="bibr" rid="bib1.bibx32" id="text.3"/>, <xref ref-type="bibr" rid="bib1.bibx51" id="text.4"/>, and others using thermodynamic data. The discrepancies between the observations of antimony being soluble at some sites but insoluble at other ones were addressed and resolved by <xref ref-type="bibr" rid="bib1.bibx36" id="text.5"/>. The rich mineralogy of antimony was extensively summarized by <xref ref-type="bibr" rid="bib1.bibx39" id="text.6"/>, and the details will not be repeated here.</p>
      <?pagebreak page358?><p id="d1e776">Two insoluble minerals, considered to be the “ultimate sinks” of antimony, are tripuhyite (FeSb<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>O<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) and schafarzikite (FeSb<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx32" id="paren.7"/>. Tripuhyite has been identified at a number of sites polluted by Sb <xref ref-type="bibr" rid="bib1.bibx39" id="paren.8"><named-content content-type="pre">see</named-content></xref>, but schafarzikite is rare, restricted to a few localities where it seems to be primary and not secondary <xref ref-type="bibr" rid="bib1.bibx54" id="paren.9"><named-content content-type="pre">e.g.,</named-content></xref>. Its rarity could be explained by the scarcity of research in reduced environments because most of the work at the polluted sites is concentrating on their oxidized portions. They are believed to release toxic elements, such as antimony, into the environment. An alternative explanation is that schafarzikite does not form since its nucleation and growth is kinetically hindered. Another possibility is that there is a competing phase or phases that scavenge antimony under such conditions. Iron oxides, the usual scavengers of many anions, are not good candidates, as they may undergo reductive dissolution under such conditions. On the other hand, it has been shown that during reduction–oxidation cycles antimony adsorbed onto goethite will be locked into tripuhyite and not into the structure of schafarzikite <xref ref-type="bibr" rid="bib1.bibx11" id="paren.10"/>.</p>
      <p id="d1e841">The aim of this work is to evaluate the thermodynamic stability of chapmanite, a rare mineral that could, however, constitute an alternative sink of antimony in
slightly reducing environments. To this goal, first we verified the methodology of high-temperature oxide melt solution calorimetry in molten lead borate on
antimony phases, doing a number of cross-checks. Once assured that this method can yield accurate and precise data, the enthalpy of formation of chapmanite was measured. Entropy was obtained by integration of low-temperature heat capacity data measured by relaxation calorimetry. Calculations of stability and solubility of chapmanite in selected exemplary systems document its possible role in the environment.</p>
      <p id="d1e844">Throughout this paper, the phases investigated can be referred to by their mineral names. In their synthetic form, they are <italic>equivalents</italic> of the
naturally occurring minerals. The use of these names improves the clarity of the presentation because a mineral name is linked not only to a specific chemical
composition, but also to a crystal structure. It is particularly advantageous in systems with polymorphism, such as among the antimony oxides. The chemical
formulae and mineral names of the phases considered in this paper are summarized in Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e854">Chemical formulae and mineral names of phases investigated in this work. With the exception of chapmanite, all samples used in this work were synthetic. Space groups and refined lattice parameters for the antimony phases can be found in Table 2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">valentinite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">cervantite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mg[Sb(OH)<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col2">brandholzite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MgSb<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">byströmite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fe<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>Sb(Si<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH)</oasis:entry>
         <oasis:entry colname="col2">chapmanite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Fe<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">hematite</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MgO</oasis:entry>
         <oasis:entry colname="col2">periclase</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SiO<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">quartz</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials</title>
      <p id="d1e1137">Synthetic Sb<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (equivalent of valentinite) and Sb<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> were purchased from suppliers and used as received. Sb<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (equivalent of cervantite) was synthesized by treatment of Sb<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> at 700 <inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 1 d <xref ref-type="bibr" rid="bib1.bibx29" id="paren.11"/>. Powdery Sb<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was placed into a platinum crucible, covered by a platinum lid and heated in air. In contrast to the results of <xref ref-type="bibr" rid="bib1.bibx29" id="text.12"/>, we found that prolonged heat treatment does not lead to better crystallinity or phase purity but to amorphization of the sample.</p>
      <p id="d1e1247">Crystals of Mg[Sb(OH)<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (equivalent of brandholzite) were synthesized according to the procedure of <xref ref-type="bibr" rid="bib1.bibx16" id="text.13"/>. Two separate solutions were prepared initially. One of them was 1 M Sb<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> solution, prepared by mixing deionized water and KSb(OH)<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>. The suspension was heated on a heating plate at <inline-formula><mml:math id="M96" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 60 <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C until most of the solid dissolved. The undissolved residue was separated by decantation. The other solution was 0.1 M Mg<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, prepared by mixing of deionized water and MgCl<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. The two solutions were mixed, resulting in the immediate formation of a white precipitate. The suspension was allowed to stand at room temperature for 2 months and then filtered and washed several times by deionized water. The filtrate consisted of euhedral crystals of Mg[Sb(OH)<inline-formula><mml:math id="M101" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O and white, powdery aggregates of an unknown phase, perhaps of the same composition. The crystals were up to 1 mm in size and were separated from the rest of the sample under a binocular microscope.</p>
      <p id="d1e1391">MgSb<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> was prepared from Mg[Sb(OH)<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O by heating at 1000 <inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 1 h. The crystals of Mg(Sb(OH)<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>)<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O were placed into a platinum crucible, covered by a platinum lid and heated in air. The resulting sample was powdery and grayish.</p>
      <?pagebreak page359?><p id="d1e1486">A natural sample of chapmanite, nominally Fe<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>Sb(Si<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH), used in this work originated from the Pezinok Sb deposit in Slovakia <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx49" id="paren.14"/>. The sample consisted of a coating of powdery greenish-yellow crusts of chapmanite on dark gray quartz with sparse tiny pyrite crystals. The crusts were scraped of the specimens and separated by a standard protocol for clay mineral separation. Briefly, 20 g of the sample under 0.16 mm (after grinding) was mixed with 300 mL distilled water in a beaker. Afterwards, 3–4 mL of 0.1 M solution of sodium hexametaphosphate were added, the suspension was ultrasonicated for 5 min, the volume added up to 2 L in a cylinder. After 24 h, the water column was removed with a suction pump and the sediment at the bottom discarded. The suspension from the suction pump was transferred into a beaker, and a few drops of 15 % HCl were added to coagulate the clay particles. After coagulation, water was removed with the suction pump and discarded. The slurry was transferred onto a thin plastic sheet and dried at 50 <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Further treatment, owing to the analytical results, is described below.<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d1e1547">Powder X-ray diffraction (PXRD) patterns of all minerals and reference compounds were collected using a Bruker D8 Advance DaVinci diffractometer employing Cu K<inline-formula><mml:math id="M118" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> radiation (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.54058</mml:mn></mml:mrow></mml:math></inline-formula> Å). The patterns were collected at room temperature between 5 and 90 <inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C 2<inline-formula><mml:math id="M121" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>, with a step size of 0.02<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> 2<inline-formula><mml:math id="M123" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> and a time per step of 1 s. Lattice parameters and quantitative fractions of the studied phases were refined by a full-profile fit using the software suite JANA2006 <xref ref-type="bibr" rid="bib1.bibx47" id="paren.15"/>.</p>
      <p id="d1e1605">Thermogravimetric (TG) and differential thermal analysis (DTA) of chapmanite was done with a TG 92 Setaram TG/DTA instrument. The samples were heated from room temperature up to 900 <inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in a flow of argon at a heating rate of 10 <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C min<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Thermogravimetric (TG) analysis of synthetic Sb<inline-formula><mml:math id="M127" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> was performed with a Labsys Evo instrument from room temperature to 600 <inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Heating rate was 10 <inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C min<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the measurement was done in flowing air.</p>
      <p id="d1e1687">The quantitative chemical composition of chapmanite was determined by electron microprobe using a JEOL JXA-8230. The operating conditions were set to an accelerating voltage of 15 kV, a beam current of 5 nA, and a beam diameter between 5 and 10 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The wavelength-dispersive X-ray spectrometers were used to measure the elements and X-ray emission lines of Al, Mg, Si, Ca, K, P, S, Fe, Mn (K<inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>), and Sb (L<inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>). To improve the count-rate statistics, the counting times were 40 s. The standard specimens used for calibration were Al<inline-formula><mml:math id="M135" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> for Al, wollastonite for Si and Ca, MgO for Mg, celestine for S, InSb for Sb, orthoclase for K, apatite for P, hematite for Fe, and rhodonite for Mn. Peak overlap correction was used to avoid interference between the lines of Sb and K. The detection limits, calculated from the peak and background counts, the measurement time, the beam current, and the standard material concentration, are 0.07 wt % for Si, Ca, Mg, and Mn; 0.08 wt % for Fe and Al; 0.09 wt % for P and S; 0.11 wt % for K; and 0.20 wt % for Sb.</p>
      <p id="d1e1730">Morphological characterization of the chapmanite sample was performed using a Carl Zeiss ULTRA Plus FEG scanning electron microscope (SEM) operating  with an acceleration voltage of 20 kV. Selected crystals were analyzed by energy-dispersive X-ray (EDX) analysis.</p>
      <p id="d1e1734">A portion of the sample was brought into solution by total digestion in a microwave in a mixture of HNO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HClO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, and HF. The concentration of selected elements was measured by inductively coupled plasma mass spectrometry (ICP-MS). The instrument used was Thermo Fisher Scientific.</p>
      <p id="d1e1755">High-temperature oxide melt solution calorimetry has been described in detail by <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx43" id="text.16"/>. The experiments were performed at 1073 K in both lead borate (2PbO <inline-formula><mml:math id="M139" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> B<inline-formula><mml:math id="M140" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and sodium molybdate (3Na<inline-formula><mml:math id="M142" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <inline-formula><mml:math id="M143" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> 4MoO<inline-formula><mml:math id="M144" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) solvents. Oxygen gas was flushed over the solvent at 90 mL min<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and bubbled through it at 5 mL min<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e1836">Low-temperature heat capacity (<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was measured by relaxation calorimetry using a commercial Physical Properties Measurement System (PPMS, from Quantum Design, San Diego, California) at the University of Salzburg, Austria. With due care, accuracy can be within 1 % at 5 to 300 K and 5 % at 0.7 to 5 K <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx26" id="paren.17"/>. The powdered samples were wrapped in a thin Al foil and compressed to produce a <inline-formula><mml:math id="M148" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.5 mm thick pellet, which was then placed onto the sample platform of the calorimeter for measurement. Differential scanning calorimetry (DSC) was used to measure heat capacities near and above room temperature using a Perkin Elmer Diamond DSC. Details of the method are described by <xref ref-type="bibr" rid="bib1.bibx8" id="text.18"/>. The entropy was calculated by integration of the <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> function in the interval from 0 to 298.15 K.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Crystal structure of chapmanite</title>
      <p id="d1e1886">Chapmanite is a rare sheet silicate with unique structural features. The crystal structure of this fine-grained mineral was solved early by electron diffraction
<xref ref-type="bibr" rid="bib1.bibx64" id="paren.19"/>. It is related to kaolinite with tetrahedral–octahedral layers. The vacant sites in the dioctahedral sheets are capped by Sb<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> ions (Fig. 1), with their lone electron pairs pointing into the interlayer. Charge balance is achieved by deprotonation of three OH groups. <xref ref-type="bibr" rid="bib1.bibx64" id="text.20"/> report a limited (1 %) Si-Al substitution in the tetrahedral sites, slight excess of Fe, and deficiency of Sb.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1909">Fragment of the chapmanite structure, showing the tetrahedral sheets (cyan), dioctahedral sheets (brown) populated by Fe<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, and the Sb<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> atoms (gray) bonded to three oxygen atoms in the dioctahedral sheets. Red balls represent oxygen atoms. Constructed from the data in <xref ref-type="bibr" rid="bib1.bibx5" id="text.21"/>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f01.png"/>

      </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1948">Lattice parameters of the studied antimony phases. Lattice parameters constrained by symmetry are not listed. Only the chapmanite sample was natural. Nominal chemical formulae are listed in Table 1.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Phase</oasis:entry>
         <oasis:entry colname="col2">Space group</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M153" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (Å)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M154" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> (Å)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M155" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> (Å)</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M158" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula> (Å<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">References</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Valentinite</oasis:entry>
         <oasis:entry colname="col2"><italic>Pccn</italic></oasis:entry>
         <oasis:entry colname="col3">4.9166(3)</oasis:entry>
         <oasis:entry colname="col4">12.4783(6)</oasis:entry>
         <oasis:entry colname="col5">5.4141(3)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">332.16(3)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx63" id="text.22"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cervantite</oasis:entry>
         <oasis:entry colname="col2"><italic>Pna2</italic><inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">5.4435(4)</oasis:entry>
         <oasis:entry colname="col4">4.8092(4)</oasis:entry>
         <oasis:entry colname="col5">11.7693(7)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">308.10(4)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx2" id="text.23"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M161" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col2"><italic>Fd</italic><inline-formula><mml:math id="M164" display="inline"><mml:mover accent="true"><mml:mn mathvariant="normal">3</mml:mn><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula><italic>m</italic></oasis:entry>
         <oasis:entry colname="col3">10.365(1)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1113.5(8)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx30" id="text.24"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Byströmite</oasis:entry>
         <oasis:entry colname="col2"><italic>P4</italic><inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula><italic>mnm</italic></oasis:entry>
         <oasis:entry colname="col3">4.6528(3)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">9.2384(7)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">199.99(2)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx12" id="text.25"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brandholzite</oasis:entry>
         <oasis:entry colname="col2"><italic>P3</italic></oasis:entry>
         <oasis:entry colname="col3">16.1061(5)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">9.8640(5)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">2215.9(2)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx19" id="text.26"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chapmanite</oasis:entry>
         <oasis:entry colname="col2"><italic>Cm</italic></oasis:entry>
         <oasis:entry colname="col3">5.2172(7)</oasis:entry>
         <oasis:entry colname="col4">9.001(1)</oasis:entry>
         <oasis:entry colname="col5">7.7613(8)</oasis:entry>
         <oasis:entry colname="col6">101.71(1)</oasis:entry>
         <oasis:entry colname="col7">356.89(4)</oasis:entry>
         <oasis:entry colname="col8">
                  <xref ref-type="bibr" rid="bib1.bibx5" id="text.27"/>
                </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2304">A later study by <xref ref-type="bibr" rid="bib1.bibx5" id="text.28"/> confirmed the structural model of <xref ref-type="bibr" rid="bib1.bibx64" id="text.29"/>. <xref ref-type="bibr" rid="bib1.bibx5" id="text.30"/> used Rietveld refinement of powder XRD data to improve the structural model. They also showed that the natural samples are mixtures of chapmanite, quartz, microcline, calcite, and dolomite.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Results</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Characterization and calorimetry of oxides of antimony</title>
      <p id="d1e2332">The powder XRD patterns of all oxides of antimony show only sharp peaks of one phase (see supporting electronic information). The refined lattice parameters are summarized in Table 2.</p>
      <?pagebreak page360?><p id="d1e2335">Special attention was paid to the hydration state of Sb<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M168" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O as the amount of H<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O strongly influences the calorimetric results. The color of the initial product changed after the TG analysis from yellow to white, indicating H<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O loss and possible partial reduction. The total weight loss measured for our Sb<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O sample was 9.83 wt %. According to <xref ref-type="bibr" rid="bib1.bibx30" id="text.31"/>, Sb<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O gradually loses water and becomes H<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O-free at around 843 K. Additional weight loss was attributed to partial reduction of antimony and release of O<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> gas. Using the same interpretation of our TG data, a weight loss of 9.28 wt % is attributable to H<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, and the remaining weight loss of 0.55 wt % is due to the partial reduction of the Sb<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M181" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>.<?xmltex \hack{\newpage}?></p>
      <p id="d1e2503">The H<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O content determined for Sb<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O was taken into account for the reduction of calorimetric data. For the calorimetric experiments, the sample Sb<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O with 9.28 wt % H<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O was used. The presence of H<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in the sample was corrected with the assumption that this water is loosely bound and its heat content is equal to the heat content of free (unbound) H<inline-formula><mml:math id="M191" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mrow><mml:mn mathvariant="normal">1073</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>K</mml:mtext></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mrow><mml:mn mathvariant="normal">298.15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>K</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Therefore, Tables 3 and 4 contain reactions and reaction enthalpies that refer to Sb<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and not Sb<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O.</p>
      <p id="d1e2700">The chemical reactions considered in the calorimetric experiments are summarized in Table 3. The drop solution enthalpies of antimony oxides in lead borate and sodium molybdate are listed in Table 4. The final oxidation state of the antimony in the lead borate melt under oxygen flushing and bubbling is assumed to be <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>. There are no experimental data to confirm this assumption, but the experience with similar systems <xref ref-type="bibr" rid="bib1.bibx37" id="paren.32"><named-content content-type="pre">e.g., arsenic in oxide melts,</named-content></xref> and the magnitudes of the measured enthalpies support the assumption. No difficulties or irregularities were encountered in the experiments with lead borate. The dissolution of the antimony oxides in sodium molybdate results in more scattered data than in lead borate due to baseline shifts. A possible explanation is a reaction of the antimony with the sodium molybdate solvent and the formation of an unknown refractory compound. Nevertheless, consistent drop solution enthalpy data can be obtained if the number of drops is increased. For sodium molybdate, the results for Sb<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M201" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> are more consistent (smaller baseline shifts) than for the Sb<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>-containing oxides.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e2752">Reactions considered in the thermochemical cycles used to calculate the enthalpies of selected reactions in the text and enthalpies of formation. cr: crystalline; l: liquid; g: gas; sol: solution in the molten calorimetric solvent. The numbers in parentheses indicate temperature in kelvin (K).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>[</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">MgO</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MgSb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">MgO</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Si</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">0.94</mml:mn><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">MgO</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">MgO</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">sol</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">11</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1073</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">12</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M215" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">valentinite</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">9</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">MgSb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">1.88</mml:mn><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:mi mathvariant="normal">Al</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Si</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">MgO</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Fe</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">hematite</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Al</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">quartz</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">21</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">g</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>,</mml:mo><mml:mn mathvariant="normal">298</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><?xmltex \opttitle{Thermodynamics of Mg(Sb(OH)${}_{6}$)${}_{2}\cdot 6$H${}_{2}$O (brandholzite)}?><title>Thermodynamics of Mg(Sb(OH)<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>)<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>H<inline-formula><mml:math id="M228" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (brandholzite)</title>
      <p id="d1e4520">The drop solution enthalpies of brandholzite were measured in both oxide melt solvents, and the enthalpies of formation from oxides and from elements were calculated via a thermochemical cycle, using reactions in Table 3 and their respective enthalpies (Table 4). The cycle can be expressed by the equation
            <disp-formula id="Ch1.E1" content-type="numbered"><label>22</label><mml:math id="M229" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>(</mml:mo><mml:mtext>brandholzite</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">21</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e4623">The enthalpies of formation calculated from the measurements in the two solvents (Table 5) are consistent within their uncertainties.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e4629">Drop solution enthalpies (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>ds</mml:mtext></mml:msub><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>) of antimony compounds and reference phases in lead borate and sodium molybdate melt at 1073 K. “No.” is the reaction number of the reactions in Table 3. Data for the drop-solution enthalpies of reference Sb-free phases from <xref ref-type="bibr" rid="bib1.bibx43" id="text.33"/>, with the exception of MgO <xref ref-type="bibr" rid="bib1.bibx33" id="paren.34"/>. <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1073</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">298.15</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is heat content between <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298.15</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1073</mml:mn></mml:mrow></mml:math></inline-formula> K. Heat content is calculated from heat-capacity polynomials in <xref ref-type="bibr" rid="bib1.bibx50" id="text.35"/>. All data are in kJ mol<inline-formula><mml:math id="M235" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Phase</oasis:entry>
         <oasis:entry colname="col2">No.</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>ds</mml:mtext></mml:msub><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>, lead borate</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>ds</mml:mtext></mml:msub><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>, sodium molybdate</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1073</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">298.15</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Valentinite</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">351.17</mml:mn><mml:mtext>a</mml:mtext></mml:msup><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">2.08</mml:mn><mml:mtext>b</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> (8<inline-formula><mml:math id="M245" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">235.72</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.76</mml:mn></mml:mrow></mml:math></inline-formula> (8)<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cervantite</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">148.31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.69</mml:mn></mml:mrow></mml:math></inline-formula> (16)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34.80</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.63</mml:mn></mml:mrow></mml:math></inline-formula> (8)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M250" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M251" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">58.00</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.81</mml:mn></mml:mrow></mml:math></inline-formula> (8)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">59.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula> (9)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brandholzite</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">1127.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">22.0</mml:mn></mml:mrow></mml:math></inline-formula> (8)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">1209.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24.2</mml:mn></mml:mrow></mml:math></inline-formula> (8)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Byströmite</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">172.13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.43</mml:mn></mml:mrow></mml:math></inline-formula> (8)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">246.89</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.52</mml:mn></mml:mrow></mml:math></inline-formula> (7)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chapmanite</oasis:entry>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mn mathvariant="normal">158.88</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.28</mml:mn></mml:mrow></mml:math></inline-formula> (16)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Periclase</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.47</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hematite</oasis:entry>
         <oasis:entry colname="col2">8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">182.29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Corundum</oasis:entry>
         <oasis:entry colname="col2">9</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">120.12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Quartz</oasis:entry>
         <oasis:entry colname="col2">10</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.79</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H<inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O</oasis:entry>
         <oasis:entry colname="col2">11</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">73</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e4713"><inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> Mean.
<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> Two standard deviations of the mean.
<inline-formula><mml:math id="M238" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Number of measurements.
<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> Mielewczyk-Gryn and Lilova (unpublished data).</p></table-wrap-foot></table-wrap>

      <?pagebreak page361?><p id="d1e5249">Low-temperature heat capacity data (Fig. 2a) for brandholzite show no anomalies, as expected for a phase with the elements Mg, Sb, O, and H. Integration with polynomials gave the standard entropy at <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298.15</mml:mn></mml:mrow></mml:math></inline-formula> K of <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">571.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula> J mol<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M268" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. DSC data were measured between 280 and 300 K and agree well with the PPMS data. The DSC data are <inline-formula><mml:math id="M269" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.5 % higher than the PPMS data.<?xmltex \hack{\newpage}?></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e5317">Low-temperature heat capacity of <bold>(a)</bold> brandholzite and <bold>(b)</bold> byströmite.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f02.png"/>

        </fig>

      <p id="d1e5332">The relatively large uncertainties (in kJ mol<inline-formula><mml:math id="M270" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) of the <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> values from the calorimetric work are related to the high molecular weight of the samples and the large magnitude of heat effects of the primary high-temperature oxide melt solution calorimetric data. The usual uncertainty on these data is about 1 % of the measured signal. In the case of brandholzite, the signal is large because of the appreciable amount of H<inline-formula><mml:math id="M272" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O in this phase and the heat effect caused by this H<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. Hence, the uncertainties are not a sign of any problems in calorimetry. Despite these uncertainties, the data are very useful in evaluating the equilibria below.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e5384">Summary of the enthalpies of formation for the reference phases and the enthalpies of formation calculated from the calorimetric data in lead borate or sodium molybdate in this work. “No.” is the reaction number of the reactions in Table 3. All data are in kJ mol<inline-formula><mml:math id="M274" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Enthalpies of formation for reference phases from <xref ref-type="bibr" rid="bib1.bibx50" id="text.36"/>, with the exception of the datum for Sb<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx1" id="paren.37"><named-content content-type="pre">data from this work and</named-content></xref>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Phase</oasis:entry>
         <oasis:entry colname="col2">No.</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>, determined</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>, determined</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula>, reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">in lead borate</oasis:entry>
         <oasis:entry colname="col4">in sodium molybdate</oasis:entry>
         <oasis:entry colname="col5">phases</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Valentinite</oasis:entry>
         <oasis:entry colname="col2">12</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">708.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sb<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">13</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">953.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brandholzite</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5252</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5258</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Byströmite</oasis:entry>
         <oasis:entry colname="col2">15</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1742.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1742.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chapmanite</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3164.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Periclase</oasis:entry>
         <oasis:entry colname="col2">17</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">601.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hematite</oasis:entry>
         <oasis:entry colname="col2">18</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">826.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Corundum</oasis:entry>
         <oasis:entry colname="col2">19</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1675.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Quartz</oasis:entry>
         <oasis:entry colname="col2">20</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">910.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">H<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O(l)</oasis:entry>
         <oasis:entry colname="col2">21</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">285.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<?pagebreak page362?><sec id="Ch1.S5.SS3">
  <label>5.3</label><?xmltex \opttitle{Thermodynamics of MgSb${}_{2}$O${}_{6}$ (bystr\"{o}mite)}?><title>Thermodynamics of MgSb<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> (byströmite)</title>
      <p id="d1e5886">The drop solution enthalpy of byströmite was measured in the two molten oxide solvents, and the enthalpy of formation from oxides and elements was calculated via a thermochemical cycle, using reactions in Table 3 and their respective enthalpies (Table 4). The cycle can be expressed by the equation
            <disp-formula id="Ch1.E2" content-type="numbered"><label>23</label><mml:math id="M297" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>(</mml:mo><mml:mtext>byströmite</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e5966">The standard entropy, calculated from the low-temperature heat capacity (Fig. 2b), is <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mn mathvariant="normal">139.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> J mol<inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. DSC data were measured between 280 and 560 K. In the region of overlap, the DSC data are 1.3 % lower than the PPMS data. The DSC data were shifted to match the PPMS data and then fitted to a Maier–Kelley polynomial. The results are listed in Table 6.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T6" specific-use="star"><?xmltex \currentcnt{6}?><label>Table 6</label><caption><p id="d1e6008">Coefficients for the Maier–Kelley heat-capacity polynomial <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for byströmite and chapmanite.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M302" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M304" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M306" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">Temperature range (K)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Byströmite</oasis:entry>
         <oasis:entry colname="col2">1.6122</oasis:entry>
         <oasis:entry colname="col3">1.0579</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7795</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">280–560</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chapmanite</oasis:entry>
         <oasis:entry colname="col2">2.2895</oasis:entry>
         <oasis:entry colname="col3">3.4527</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5940</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">280–460</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Chapmanite: sample characterization</title>
      <p id="d1e6203">A full-profile refinement of the powder XRD data (Fig. 3a) quantified the fractions of minerals in the sample. This analysis gave 85.2 % chapmanite, 9.9 % quartz, and 4.9 % calcite. Small crystals of pyrite, visible during the separation of the fine fraction, were not captured by this analysis. Inspection of the sample in a scanning electron microscope did not reveal the presence of any other crystalline phases or grains which could be suspected to be amorphous. It has to be noted, however, that the carbonates were also not seen and are suspected to form microcrystalline coatings on the sheet silicates. Chapmanite forms book-like aggregates of platy crystals (Fig. 3b). Tiny (less than a few micrometers) hexahedral crystals used to be pyrite. In the EDX analyses, they gave<?pagebreak page363?> strong Fe and S but also O signal, suggesting that they are pseudomorphs of iron oxides with sulfate after pyrite. This observation agrees with the fact that pyrite was not captured by PXRD. It is not clear if pyrite weathered naturally or during the initial sample handling. Quartz occurred as larger grains with typical conchoidal fracture.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e6208"><bold>(a)</bold> Powder X-ray diffraction pattern of the chapmanite sample after the first treatment step. All peaks belong to chapmanite, with the exception of two small peaks that are assigned to quartz (Q) and calcite (C). <bold>(b)</bold> Secondary-electron image of this chapmanite sample, showing the small book-like aggregates of chapmanite but also small fragments of quartz (Q) and pseudomorphs of iron oxides after pyrite (P) with the cubic morphology.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f03.png"/>

        </fig>

      <p id="d1e6222">This sample was subjected to electron microprobe analyses. The analyses were done on flakes of the chapmanite sample obtained by the first fine-fraction separation as polishing of this sample turned out to be impossible. These flakes provide a relatively, but not perfectly, flat surface and are porous, thus diminishing the quality of the analyses. Hence, these results can be considered only as semiquantitative. They are scattered – for example CaO averages at 1.3 wt % with a standard deviation of 0.5 wt % (<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>), and MgO is 1.0 <inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 wt %. These results agree well with the fraction of carbonate refined from the PXRD data. The SO<inline-formula><mml:math id="M312" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> signal is ubiquitous, giving 3.7 <inline-formula><mml:math id="M313" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.3 wt %. It agrees with the supposition that pyrite in the sample weathered to X-ray amorphous iron oxides (perhaps schwertmannite) with elevated sulfur content. The P<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M315" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> concentration of 2.0 <inline-formula><mml:math id="M316" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 wt % is attributable to the previous treatment with sodium hexametaphosphate. The only impurity that can be assigned to chapmanite is Al<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, with 1.4 <inline-formula><mml:math id="M319" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.3 wt %.</p>
      <p id="d1e6312">Obviously, calorimetric results from such a sample would be difficult to interpret. Therefore, the sample underwent several cycles of cleaning. The powder was re-dispersed three times in 5 % HCl overnight and then rinsed, filtered, and dried. Furthermore, a finer fraction of the sample was obtained by re-dispersing the sample, using the same procedure as described in the methods section but allowing it to sediment for 48 h, thus eliminating the larger quartz grains. After this procedure, the sample was rinsed extensively in an attempt to remove the phosphate.</p>
      <p id="d1e6315">Quartz and carbonates were removed from the sample, as evidenced by the PXRD data after the treatment. We recognized that not all phosphate was removed, and this impurity is not easy to correct for. There remained 0.4 wt % P<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and 0.2 wt % SO<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the sample (recalculated ICP-MS data after the total digestion). Experience with high-temperature oxide melt calorimetry shows, however, that impurities under 1 % can generally be neglected if there is no way to correct for them. This is true if the contribution of such impurities to the measured heat effect is likely to be within the experimental error of the measurement and as long as their heat effects are comparable to that of the major phase. This is the case for P<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and SO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Pyrite, on the other hand, would be an example of an impurity with much different, in this case much higher, signal. Our analyses showed that pyrite was not present, either in the initial or purified sample. The molar Al <inline-formula><mml:math id="M326" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> (Al <inline-formula><mml:math id="M327" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Fe) ratio of 0.06 was considered in the chemical formula used for calorimetric calculations. The molar Sb <inline-formula><mml:math id="M328" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> (Al <inline-formula><mml:math id="M329" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Fe) ratio was 0.98, which is slightly less than 1 but within the uncertainty of the analysis. A slight Sb deficiency in chapmanite was also detected by <xref ref-type="bibr" rid="bib1.bibx64" id="text.38"/>. They assumed that some of the vacant octahedra were occupied by Fe although there was no evidence of Fe<inline-formula><mml:math id="M330" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> in the sample that could support such an assumption. The method selected (ICP-MS) is considered to be more accurate and precise than the electron microprobe analysis, but the downside is that Si is partially volatilized during the digestion as SiF<inline-formula><mml:math id="M331" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. Hence, Si cannot be determined, and the complete stoichiometry cannot be fixed. The formula constructed for the reduction of the calorimetric data is (Fe<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub></mml:math></inline-formula>Al<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub></mml:math></inline-formula>)Sb(Si<inline-formula><mml:math id="M334" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M335" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M336" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH), with molecular mass of 431.1537 g mol<inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. All thermodynamic data presented in this work refer to this formula and molecular mass.</p>
      <p id="d1e6484">The sample contained adsorbed water that manifested itself strongly during the DSC measurements. During the dynamic DSC measurement, the endothermic signal from the adsorbed H<inline-formula><mml:math id="M338" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O (at its peak at <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">620</mml:mn></mml:mrow></mml:math></inline-formula> K) exceeded the intrinsic heat capacity of the sample by <inline-formula><mml:math id="M340" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 70 %. To remove the adsorbed H<inline-formula><mml:math id="M341" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O prior to the calorimetric experiments, the sample was treated statically (i.e., not under continuously increasing temperature) at 470 K for 3 min and cooled. The loss of structurally bound H<inline-formula><mml:math id="M342" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O begins at 620 K and continues to 900 K, when it is interrupted in the data by a mass gain. This mass gain is probably related to oxidation of Sb. The nature of high-temperature products was not investigated. The PXRD data indicated no structural changes in chapmanite after the thermal treatment at 470 K.</p>
      <p id="d1e6533">In addition, the purification led to preferential enrichment of the sample in smaller particles. Small particle size could also influence thermodynamic properties. It would be desirable, in the future, to repeat the calorimetric experiments on a synthetic, pure sample of chapmanite. However, synthesis protocols for such a phase are unknown at this time. Despite these complexities, we believe that our results are an accurate representation of the thermodynamic properties of this phase.</p>
</sec>
<?pagebreak page364?><sec id="Ch1.S5.SS5">
  <label>5.5</label><?xmltex \opttitle{Thermodynamic properties of chapmanite, (Fe${}_{{1.88}}$Al${}_{{0.12}}$)Sb(Si${}_{2}$O${}_{5}$)O${}_{3}$(OH)}?><title>Thermodynamic properties of chapmanite, (Fe<inline-formula><mml:math id="M343" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub></mml:math></inline-formula>Al<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub></mml:math></inline-formula>)Sb(Si<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>)O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>(OH)</title>
      <p id="d1e6591">From the two solvents commonly used for high-temperature oxide melt solution calorimetry <xref ref-type="bibr" rid="bib1.bibx43" id="paren.39"><named-content content-type="pre">see</named-content></xref>, lead borate is the only option for the calorimetry on chapmanite. This restriction is caused by its ability to dissolve silicates, in contrast to sodium molybdate. For this reason, we have cross-checked the two solvents and established that lead borate is a suitable solvent for calorimetry of antimonous and antimonic compounds.</p>
      <p id="d1e6599">The drop solution enthalpy of chapmanite was measured in lead borate, and the enthalpy of formation from elements and oxides was calculated via a thermochemical cycle, using reactions in Table 3 and their respective enthalpies (Table 4). The cycle can be expressed by the equation
            <disp-formula id="Ch1.E3" content-type="numbered"><label>24</label><mml:math id="M348" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>(</mml:mo><mml:mtext>chapmanite</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">9</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">11</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.94</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">19</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">12</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">21</mml:mn></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e6763">The enthalpy of formation from oxides, for the reaction
            <disp-formula id="Ch1.E4" content-type="numbered"><label>25</label><mml:math id="M349" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mn mathvariant="normal">0.94</mml:mn><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mo>→</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Si</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          is <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>H</mml:mi><mml:mn mathvariant="normal">25</mml:mn><mml:mtext>o</mml:mtext></mml:msubsup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e6933">Heat capacity of chapmanite was measured at sub- and superambient conditions. The low-temperature <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data show a pronounced but broad anomaly
centered at <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10.7</mml:mn></mml:mrow></mml:math></inline-formula> K (Fig. 4). Integration of the low-temperature <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data gave <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">305.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> J mol<inline-formula><mml:math id="M357" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Combination of the enthalpy of formation and entropy gave <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>G</mml:mi><mml:mtext>o</mml:mtext></mml:msup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2973.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>G</mml:mi><mml:mn mathvariant="normal">25</mml:mn><mml:mtext>o</mml:mtext></mml:msubsup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">34.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> with the corresponding log <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">25</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.06</mml:mn></mml:mrow></mml:math></inline-formula>. The DSC data were shifted to match the PPMS data and fitted by a Maier–Kelley polynomial (Table 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e7106">Low-temperature (circles) and high-temperature (diamonds) heat capacity of chapmanite, measured by the PPMS and DSC instruments, respectively. The inset shows the <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomaly at very low temperatures.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f04.png"/>

        </fig>

      <?pagebreak page365?><p id="d1e7126">Combining Eq. (25) with dissolution reactions for hematite, corundum, valentinite, and quartz defines the dissolution reaction for chapmanite:
            <disp-formula id="Ch1.E5" content-type="numbered"><label>26</label><mml:math id="M365" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Fe</mml:mi><mml:mn mathvariant="normal">1.88</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">0.12</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Si</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:msup><mml:mi mathvariant="normal">H</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mn mathvariant="normal">1.88</mml:mn><mml:msup><mml:mi mathvariant="normal">Fe</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.12</mml:mn><mml:msup><mml:mi mathvariant="normal">Al</mml:mi><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msubsup><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          with log <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mn mathvariant="normal">26</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">17.10</mml:mn></mml:mrow></mml:math></inline-formula>. This value can be used for geochemical modeling with software packages such as PHREEQC or Geochemist's Workbench.<?xmltex \hack{\newpage}?></p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Discussion</title>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Consistency of the formation enthalpies of antimony oxides</title>
      <p id="d1e7294">An initial check of the calorimetric data is the comparison of the enthalpies for a reaction that relates all three antimony oxides:
            <disp-formula id="Ch1.E6" content-type="numbered"><label>27</label><mml:math id="M367" display="block"><mml:mrow><mml:mrow class="chem"><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e7343">A cursory examination of the values in Table 7 shows that the enthalpies for Eq. (27) are scattered and inconsistent. Early data from dissociation pressure measurements <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx55" id="paren.40"/> agree with the newer calorimetric work of <xref ref-type="bibr" rid="bib1.bibx27" id="text.41"/>. Our data form another cluster of values with the reaction calorimetry of <xref ref-type="bibr" rid="bib1.bibx41" id="text.42"/> and the critical selection of <xref ref-type="bibr" rid="bib1.bibx52" id="text.43"/>. The enthalpies for Eq. (27) span a range of 110 kJ mol<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which makes critical comparison of our and earlier data complicated.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T7" specific-use="star"><?xmltex \currentcnt{7}?><label>Table 7</label><caption><p id="d1e7373">Enthalpies for reaction 0.5Sb<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M370" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (valentinite) <inline-formula><mml:math id="M371" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 0.5Sb<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M373" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M374" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> Sb<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> (Eq. 27) at <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298.15</mml:mn></mml:mrow></mml:math></inline-formula> K. All data are in kJ mol<inline-formula><mml:math id="M378" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx9" id="text.44"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">25.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">dissociation pressure measurements</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx41" id="text.45"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">heats of combination with sodium peroxide</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx55" id="text.46"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">dissociation pressure measurements</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx35" id="text.47"/>
                  </oasis:entry>
         <oasis:entry colname="col2">+0.4</oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx52" id="text.48"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">52.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx14" id="text.49"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">43</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx31" id="text.50"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx6" id="text.51"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">109.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx7" id="text.52"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">46.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx61" id="text.53"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">67.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">critical selection of thermodynamic data</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">
                    <xref ref-type="bibr" rid="bib1.bibx27" id="text.54"/>
                  </oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">heats of dissolution in eutectic KOH–NaOH mixture at 483 K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">this work</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">56.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">heats of dissolution in lead borate at 1073 K</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">this work</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">53.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">heats of dissolution in sodium molybdate at 1073 K</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e7791">The data agreement is even worse for the reaction
            <disp-formula id="Ch1.E7" content-type="numbered"><label>28</label><mml:math id="M391" display="block"><mml:mrow class="chem"><mml:mn mathvariant="normal">0.5</mml:mn><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">Sb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>
          as shown in Fig. 5. The values calculated from reported data scatter almost over 150 kJ mol<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and document the difficulties of measurements on antimony oxides. These compounds are sensitive to heat treatment and oxygen fugacity and are hard to control. This trouble was noted early on, for example by J. J. Berzelius who wrote in 1812 that “I have never worked with a material with which it was so extremely difficult to obtain constant results”, referring to his work on antimony oxides <xref ref-type="bibr" rid="bib1.bibx13" id="paren.55"/>. Obviously, much of this trouble has persisted until today.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e7848">Enthalpies of reactions that relate the antimony oxides with different oxidation state of antimony. The data are summarized in Table 7.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f05.png"/>

        </fig>

      <p id="d1e7857">When considering the enthalpies of formation of the antimony oxides, the most striking is the scatter for Sb<inline-formula><mml:math id="M393" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M394" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. <xref ref-type="bibr" rid="bib1.bibx20" id="text.56"/> gave <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">962.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M396" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and <xref ref-type="bibr" rid="bib1.bibx44" id="text.57"><named-content content-type="post">p. 151</named-content></xref> reported <inline-formula><mml:math id="M397" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1007.51 kJ mol<inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, but <xref ref-type="bibr" rid="bib1.bibx21" id="text.58"/> presented a much different value of <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1128</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, to name a few. Recently, <xref ref-type="bibr" rid="bib1.bibx1" id="text.59"/> determined the enthalpy of the drop solution for metallic Sb. They also derived the enthalpy of formation of Sb<inline-formula><mml:math id="M401" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> to be <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">957.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M404" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, but we improved this value by using a better characterized Sb<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> sample. Combining our calorimetric data for Sb<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> and the data of <xref ref-type="bibr" rid="bib1.bibx1" id="text.60"/> for Sb, we obtain <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">953.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M410" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. With this <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> value for Sb<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, our data for the Mg-Sb phases (brandholzite and byströmite) are reasonably close to what would be expected from solubility data (see Table 8).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T8" specific-use="star"><?xmltex \currentcnt{8}?><label>Table 8</label><caption><p id="d1e8113">Summary of thermodynamic data from this work, compared to previously published data.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Phase</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>G</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(kJ mol<inline-formula><mml:math id="M417" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(J mol<inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(kJ mol<inline-formula><mml:math id="M420" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Byströmite</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1742.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mn mathvariant="normal">139.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1563.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">this work</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1554.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">
                    <xref ref-type="bibr" rid="bib1.bibx51" id="text.61"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1468.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">
                    <xref ref-type="bibr" rid="bib1.bibx24" id="text.62"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Brandholzite</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5252</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mn mathvariant="normal">571.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4367</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">this work</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4358.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">
                    <xref ref-type="bibr" rid="bib1.bibx16" id="text.63"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Chapmanite</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3164.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mn mathvariant="normal">305.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2973.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">this work</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?pagebreak page366?><p id="d1e8500">The data for Sb<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are much less scattered, even though not every publication specified if the data relate to valentinite or senarmontite. <xref ref-type="bibr" rid="bib1.bibx20" id="text.64"/> gave <inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">702.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8.7</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <xref ref-type="bibr" rid="bib1.bibx44" id="text.65"><named-content content-type="post">p. 151</named-content></xref> gave <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">709.44</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <xref ref-type="bibr" rid="bib1.bibx50" id="text.66"/> selected <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">708.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. A recent EMF study gave <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">709.74</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M442" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx3" id="paren.67"/> and showed that most available values in the literature cluster tightly between <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">708</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">710</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
      <p id="d1e8666">The available data show extreme discrepancies for Sb<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>. It could be suspected that one of the reasons for the inconsistency is the poorly defined oxidation state in the “Sb<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M449" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>” samples. Why otherwise would efforts to produce pure sample involve syntheses under high O<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(g) pressure <xref ref-type="bibr" rid="bib1.bibx53" id="paren.68"/>? It was noted that “antimonic acid cannot be dehydrated by heating in air to give products of constant and reproducible weight without simultaneous reduction of some of the Sb<inline-formula><mml:math id="M451" display="inline"><mml:msup><mml:mi/><mml:mi>V</mml:mi></mml:msup></mml:math></inline-formula> to Sb<inline-formula><mml:math id="M452" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msup></mml:math></inline-formula>” <xref ref-type="bibr" rid="bib1.bibx57" id="paren.69"/>. The nature of the Sb<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> used in various studies is therefore questionable, but this issue is beyond the scope of this study.</p>
      <p id="d1e8762">The situation regarding valentinite is much more favorable, and this phase can serve as a good reference compound for the calorimetry on Sb<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> phases. For further work, we adopt the datum from <xref ref-type="bibr" rid="bib1.bibx50" id="text.70"/> that lies approximately in the middle of the tight cluster of values.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><?xmltex \opttitle{Consistency among the magnesium antimonates: bystr\"{o}mite and brandholzite}?><title>Consistency among the magnesium antimonates: byströmite and brandholzite</title>
      <p id="d1e8789">The agreement between our calorimetric data and published solubility data <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx51" id="paren.71"/> is less than optimal, although differences of similar magnitude are encountered in many systems. The values are summarized<?pagebreak page367?> for easier comparison in Table 8. Yet, we can circumvent the need for reference compounds in the solution calorimetry and make a direct comparison. Consider the reaction
            <disp-formula id="Ch1.E8" content-type="numbered"><label>29</label><mml:math id="M456" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">MgSb</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mi mathvariant="normal">Mg</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Sb</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">6</mml:mn><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">cr</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e8877">The <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>G</mml:mi><mml:mn mathvariant="normal">29</mml:mn><mml:mtext>o</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula> value, calculated from the solubility data <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx51" id="paren.72"/>, is <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mn mathvariant="normal">41.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.1</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The calorimetric data from this study give <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msubsup><mml:mi>G</mml:mi><mml:mn mathvariant="normal">29</mml:mn><mml:mtext>o</mml:mtext></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">42.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27.6</mml:mn></mml:mrow></mml:math></inline-formula> kJ mol<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The large error relates mostly to the calorimetric datum of brandholzite (Table 4, <inline-formula><mml:math id="M462" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>22.0 kJ mol<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) that was already discussed. The agreement between the two <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>G</mml:mi></mml:mrow></mml:math></inline-formula> values is excellent. This agreement reinforces the suspicion that the primary source of the differences is the data for Sb<inline-formula><mml:math id="M465" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M466" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, even though the latest <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> value for Sb<inline-formula><mml:math id="M468" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx1" id="paren.73"><named-content content-type="pre">our data and</named-content></xref> yields fairly good results. Hence, a compound like MgSb<inline-formula><mml:math id="M470" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M471" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> would possibly be a better reference compound for solution calorimetry of Sb<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> phases.</p>
      <p id="d1e9076">Using the solubility data of <xref ref-type="bibr" rid="bib1.bibx16" id="text.74"/> and <xref ref-type="bibr" rid="bib1.bibx51" id="text.75"/>, combined with the entropies determined in this work, we propose a set of consistent thermodynamic functions for byströmite and brandholzite. They are listed in Table 9.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T9" specific-use="star"><?xmltex \currentcnt{9}?><label>Table 9</label><caption><p id="d1e9089">Proposed best set of thermodynamic functions for brandholzite and byströmite at <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">298.15</mml:mn></mml:mrow></mml:math></inline-formula> K.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Phase</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>G</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>S</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:msup><mml:mi>H</mml:mi><mml:mtext>o</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(kJ mol<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(J mol<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(J mol<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(kJ mol<inline-formula><mml:math id="M486" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Brandholzite</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4358.4</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">3.4</mml:mn><mml:mtext>a</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mn mathvariant="normal">571.0</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">4.0</mml:mn><mml:mtext>c</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2967.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5243.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bystromite</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1554.1</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">3.6</mml:mn><mml:mtext>b</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mn mathvariant="normal">139.3</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.0</mml:mn><mml:mtext>c</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">599.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1733.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e9104"><inline-formula><mml:math id="M474" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx16" id="text.76"/>; <inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx51" id="text.77"/>; <inline-formula><mml:math id="M476" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> this work.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S6.SS3">
  <label>6.3</label><title>Assemblages and origin of chapmanite</title>
      <p id="d1e9467">In this and previous studies <xref ref-type="bibr" rid="bib1.bibx5" id="paren.78"><named-content content-type="pre">e.g.,</named-content></xref>, chapmanite was consistently found to be associated with carbonates, mostly calcite or dolomite. Sulfides in the association of chapmanite were noted, for example small pyrite crystals (this work) or marcasite <xref ref-type="bibr" rid="bib1.bibx40" id="paren.79"><named-content content-type="pre">Bräunsdorf, Germany,</named-content></xref>. In the Keeley mine (Ontario, Canada), chapmanite is intergrown with native silver <xref ref-type="bibr" rid="bib1.bibx62" id="paren.80"/>. In Pezinok (Slovakia), chapmanite was found to be associated with secondary siderite, cryptocrystalline SiO<inline-formula><mml:math id="M495" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (hyalite), and allophane-like material <xref ref-type="bibr" rid="bib1.bibx49" id="paren.81"/>. In both Pezinok and La Bessade (France) <xref ref-type="bibr" rid="bib1.bibx46" id="paren.82"/>, chapmanite was identified in the deeper parts of the veins, partially forming pseudomorphs after stibnite. At La Bessade, chapmanite was intergrown with opaline silica, forming compact aggregates with conchoidal fracture. The association with quartz or chalcedony was described as a characteristic feature by <xref ref-type="bibr" rid="bib1.bibx40" id="text.83"/>.</p>
      <p id="d1e9502">These assemblages bear information about the formation conditions of chapmanite. The common association with carbonates suggests that chapmanite cannot be related to acidic solutions related to oxidative weathering of pyrite. The presence of pyrite, marcasite, or siderite indicates reducing conditions. The carbonates, for example calcite or dolomite detected in this work or by <xref ref-type="bibr" rid="bib1.bibx5" id="text.84"/>, could form later than chapmanite, thus invalidating the assumption that acidic conditions are excluded. On the other hand, siderite found with chapmanite at Pezinok <xref ref-type="bibr" rid="bib1.bibx49" id="paren.85"/> seems to be co-genetic and indicates indeed neutral or alkaline conditions. Chapmanite from Argent mine <xref ref-type="bibr" rid="bib1.bibx59" id="paren.86"><named-content content-type="pre">South Africa,</named-content></xref> was reported to occur on siderite, but no details about this association were provided. Opaline silica, reported from several localities, suggests that the fluids were transporting greater amounts of silicic acid. Hence, chapmanite could be a product of supergene processes, as suggested by <xref ref-type="bibr" rid="bib1.bibx45" id="text.87"/>, but in deeper, reduced portions of the ore bodies.</p>
</sec>
<sec id="Ch1.S6.SS4">
  <label>6.4</label><title>Stability and solubility of chapmanite</title>
      <p id="d1e9527">The thermodynamic data presented here allow one to model the stability of chapmanite quantitatively. There are two insoluble, competing sinks for antimony in low-temperature settings: schafarzikite and tripuhyite <xref ref-type="bibr" rid="bib1.bibx32" id="paren.88"/>. The question is therefore the relationship between these phases. Figure 6 presents the results of a forward simulation with PHREEQC. In this model, a Ca-Mg-SO<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> solution (for its composition, see supporting electronic information) with pH <inline-formula><mml:math id="M497" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.7 was equilibrated with chapmanite under different redox conditions. They were imposed on the solution by simply varying the input value of <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula>. The starting solution had no Fe, Sb, Al, or Si. After equilibration, pH increased slightly but not more than 0.2 log units. The model shows that under low-<inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula> conditions the saturation index of schafarzikite is almost always higher than 0, and this phase could precipitate. Under oxidizing conditions, tripuhyite is predicted to precipitate in a similar manner. There is not even a small window of <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula> conditions under which both competing phases would be undersaturated. It must be pointed out that tripuhyite, and likely also schafarzikite, possess dense structures whose formation from low-temperature fluids is kinetically inhibited <xref ref-type="bibr" rid="bib1.bibx36" id="paren.89"/>. Therefore, rapid transformation of chapmanite to schafarzikite or tripuhyite should not be expected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e9585">Graphical summary of the results of a forward simulation. A Ca-Mg-SO<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> solution with pH <inline-formula><mml:math id="M502" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5.7 was equilibrated with chapmanite under variable redox (<inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula>) conditions. Shown are the molalities of the aqueous species and saturation indices of schafarzikite and tripuhyite. For details, see text.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f06.png"/>

        </fig>

      <p id="d1e9620">What are then the conditions conducive for the formation of chapmanite? Its association with opaline silica suggests elevated activity of SiO<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(aq), which would stabilize and favor chapmanite over schafarzikite or tripuhyite, at least under some redox conditions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e9635"><bold>(a)</bold> pH–<inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula> diagram for the system Sb-O-S-H with the predominance field of aqueous species and the stability field of stibnite. Data from <xref ref-type="bibr" rid="bib1.bibx18" id="text.90"/>. In this diagram, <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi>S</mml:mi><mml:mi>b</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi><mml:mi>S</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>. The symbols show the saturation of mine drainage solutions with respect to chapmanite and are scaled to the magnitude of the saturation indices. Red circles – supersaturated; blue circles – undersaturated; crosses – solutions so close to saturation that the corresponding circles would be invisible. The light blue hatched area is the predominance field of Fe(III) species (<inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Σ</mml:mi><mml:mtext>Fe</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>), with the corresponding full pH–<inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula> diagram shown in panel <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://ejm.copernicus.org/articles/33/357/2021/ejm-33-357-2021-f07.png"/>

        </fig>

      <?pagebreak page368?><p id="d1e9747">It is interesting to examine mine drainage solutions in terms of the saturation state with respect to chapmanite. From a database of mine drainage solutions that we amassed over years, we selected the analyses where Eh was analytically determined (by oxidation–reduction potential measurement in the field or Fe<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M511" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Fe<inline-formula><mml:math id="M512" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> determination in the laboratory). The results (Fig. 7) show that most of the examined solutions are supersaturated with respect to chapmanite. This observation is in conflict with the reports that chapmanite is such a rare mineral. Yet, unless specifically looked for, chapmanite would escape attention because it would fall into the group of 1 : 1 sheet silicates (like kaolinite) that are commonly found but not often investigated in detail.<?xmltex \hack{\newpage}?></p>
      <p id="d1e9782">Precipitation of chapmanite is likely also kinetically inhibited, as for many sheet silicates at low temperatures. Formation of Fe-rich sheet silicates at low temperatures is possible through aging of hydroxide-silica amorphous precursors <xref ref-type="bibr" rid="bib1.bibx22" id="paren.91"><named-content content-type="pre">e.g.,</named-content></xref>, adding to the group of minerals that form from gel-like precursors <xref ref-type="bibr" rid="bib1.bibx38" id="paren.92"><named-content content-type="pre">see</named-content></xref>. This notion fits very well with the observation of amorphous silica in association with chapmanite.</p>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e9804">Is chapmanite a sink of antimony in the environment? The neoformation of chapmanite is limited to a specific environment and is probably kinetically hindered. It requires an Sb-rich, disordered precursor and persistence of conditions that stabilize both Fe<inline-formula><mml:math id="M513" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> and Sb<inline-formula><mml:math id="M514" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> over longer times. Thermodynamic data suggest that chapmanite is finely balanced in its stability with tripuhyite and schafarzikite under a narrow range of conditions when ferric (Fe<inline-formula><mml:math id="M515" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>) and antimonous (Sb<inline-formula><mml:math id="M516" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>) species predominate.</p>
      <p id="d1e9855">On the other hand, Sb<inline-formula><mml:math id="M517" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> can be adsorbed onto Fe-rich sheet silicates in a similar fashion as in chapmanite. This process can continue up to the formation of a monolayer of chapmanite-like arrangement but operates only on the <italic>outer</italic> surfaces of the sheet-silicate particles. Hence, chapmanite itself is rare, but chapmanite-like arrangements can be common. Identical arrangement in sheet silicates is observed for Bi<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> in bismutoferrite <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx64 bib1.bibx56" id="paren.93"/>. Similar position was observed for As<inline-formula><mml:math id="M519" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> in the structures of Mn-dominated sheet silicates schallerite and nelenite <xref ref-type="bibr" rid="bib1.bibx25" id="paren.94"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <?pagebreak page369?><p id="d1e9906">The attachment of Sb<inline-formula><mml:math id="M520" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> to the dioctahedral sheets in chapmanite can be described as a tridentate-hexanuclear complex on a local scale. Such complexes have been detected for As<inline-formula><mml:math id="M521" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> on the surface of iron oxides such as maghemite <xref ref-type="bibr" rid="bib1.bibx4" id="paren.95"/> or magnetite <xref ref-type="bibr" rid="bib1.bibx34" id="paren.96"/>. On the other hand, <xref ref-type="bibr" rid="bib1.bibx23" id="text.97"/> found mostly bidentate Sb<inline-formula><mml:math id="M522" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> complexes on the reactive edges of kaolinite and nontronite particles. It has to be noted that the duration of these experiments was only short, thus representing only the initial, short-term interactions. They also found evidence for polynuclear clusters, interpreted as incipient surface precipitation. In river sediments, Sb is associated mostly with Fe and Al substances <xref ref-type="bibr" rid="bib1.bibx10" id="paren.98"/>, confirmed by experimental studies of Sb<inline-formula><mml:math id="M523" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> removal from solutions by oxides of Mn, Al, and Fe <xref ref-type="bibr" rid="bib1.bibx58" id="paren.99"><named-content content-type="pre">e.g.,</named-content></xref>. Although the detrital clay particles are relatively large and Al-dominated, neoformed clays are commonly nanosized and Fe-rich, formed either inorganically or through the action of microorganisms <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx28" id="paren.100"/>. They could adsorb Sb<inline-formula><mml:math id="M524" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> in the tridentate-hexanuclear fashion, thus exposing their chapmanite-like surfaces to the aqueous environment around them.<?xmltex \hack{\newpage}?></p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e9995">XRD traces and Rietveld refinement. Protocols with all thermodynamic data for the studied phases. Starting composition of the solution for the forward model. All data sets available in Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e9998">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/ejm-33-357-2021-supplement" xlink:title="zip">https://doi.org/10.5194/ejm-33-357-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e10007">JM initiated the project, provided its concept, reduced the data, calculated all thermodynamic quantities and models, and wrote the paper. JM and SK synthesized and characterized the studied phases. KL, TS, and AN carried out high-temperature oxide melt solution calorimetry. ED and AB carried out relaxation and differential scanning calorimetry.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e10013">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e10019">We are thankful to Jiří Sejkora, an anonymous reviewer, and the editor Carlos Rodriguez-Navarro for the constructive criticism that improved the paper. Special thanks goes to Martin  Chovan for providing the natural chapmanite sample. The work presented here was financially supported by a Deutsche Forschungsgemeinschaft grant (MA 3927/32-1). Oxide melt solution calorimetry was supported by the U.S. Department of Energy Office of Basic Energy Sciences, under grant DE-FG02-97ER14749.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <?pagebreak page370?><p id="d1e10025">This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. MA 3927/32-1) and the Department of Energy, Labor and Economic Growth (grant no. DE-FG02-97ER14749).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e10031">This paper was edited by Bruno Lanson and reviewed by Jiří Sejkora and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><?xmltex \def\ref@label{Abramchuk et al.(2020)}?><label>Abramchuk et al.(2020)</label><?label ABR20?><mixed-citation>
Abramchuk, M., Lilova, K., Subramani, T., Yoo, R., and Navrotsky, A.: Development of high-temperature oxide melt solution calorimetry for p-block element containing materials, J. Mater. Res., 35, 2239–2246, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx2"><?xmltex \def\ref@label{Amador et al.(1988)}?><label>Amador et al.(1988)</label><?label AMA88?><mixed-citation>
Amador, J., Gutierrez-Puebla, E., Monge, M. A., Rasines, I., and Ruiz-Valero, C.: Diantimony tetraoxides revisited, Inorg. Chem., 27, 1367–1370, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx3"><?xmltex \def\ref@label{Aspiala et al.(2014)}?><label>Aspiala et al.(2014)</label><?label ASP14?><mixed-citation>Aspiala, M., Sukhomlinov, D., and Taskinen, P.: Determination of standard thermodynamic properties of Sb<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M526" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> by a solid-oxide electrolyte EMF technique, Solid State Ionics, 265, 80–84, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx4"><?xmltex \def\ref@label{Auffan et al.(2008)}?><label>Auffan et al.(2008)</label><?label AUF08?><mixed-citation>
Auffan, M., Rose, J., Proux, O., Borschneck, D., Masion, A., Chaurand, P., Hazemann, J.-L., Chaneac, C., Jolivet, J.-P., Wiesner, M. R., van Geen, A., and Bottero, J.-Y.: Enhanced adsorption of arsenic onto maghemites nanoparticles: As(III) as a probe of the surface structure and heterogeneity, Langmuir, 24, 3215–3222, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx5"><?xmltex \def\ref@label{Ballirano et al.(1998)}?><label>Ballirano et al.(1998)</label><?label BAL98?><mixed-citation>Ballirano, P., Maras, A., Marchetti, F., Merlino, S., and Perchiazzi, N.: Rietveld refinement of chapmanite SbFe<inline-formula><mml:math id="M527" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>Si<inline-formula><mml:math id="M528" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:math></inline-formula>OH, a TO dioctahedral kaolinite-like mineral, Powder Diffr., 13, 44–49, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx6"><?xmltex \def\ref@label{Barin and Knacke(1973)}?><label>Barin and Knacke(1973)</label><?label BAR73?><mixed-citation>
Barin, I. and Knacke, O.: Thermochemical properties of inorganic substances, Springer, 1973.</mixed-citation></ref>
      <ref id="bib1.bibx7"><?xmltex \def\ref@label{Barin et al.(1977)}?><label>Barin et al.(1977)</label><?label BAR77?><mixed-citation>Barin, I., Knacke, O. and Kubaschewski, O.: Thermochemical properties of inorganic substances, Supplement volume, Springer, <ext-link xlink:href="https://doi.org/10.1007/978-3-662-02293-1" ext-link-type="DOI">10.1007/978-3-662-02293-1</ext-link>, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx8"><?xmltex \def\ref@label{Benisek et al.(2012)}?><label>Benisek et al.(2012)</label><?label BEN12?><mixed-citation>
Benisek, A., Kroll, H., and Dachs, E.: The heat capacity of fayalite at high temperatures, Am. Mineral., 97, 657–660, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx9"><?xmltex \def\ref@label{Biltz(1908)}?><label>Biltz(1908)</label><?label BIL08?><mixed-citation>
Biltz, W.: Ueber die Temperaturabhängigkeit der Valenz zwischen Metallen und Sauerstoff, Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Math.-Phys. Klasse, 293–317, 1908.</mixed-citation></ref>
      <ref id="bib1.bibx10"><?xmltex \def\ref@label{Brannon and Patrick(1985)}?><label>Brannon and Patrick(1985)</label><?label BRA85?><mixed-citation>
Brannon, J. and Patrick, W.: Fixation and mobilization of antimony in sediments, Environ. Pollut. B, 9, 107–126, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx11"><?xmltex \def\ref@label{Burton et al.(2020)}?><label>Burton et al.(2020)</label><?label BUR20?><mixed-citation>
Burton, E. D., Hockmann, K., and Karimian, N.: Antimony sorption to goethite: Effects of Fe(II)-catalyzed recrystallization, ACS Earth Space Chem., 4, 476–487, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx12"><?xmltex \def\ref@label{Byström et al.(1942)}?><label>Byström et al.(1942)</label><?label BYS42?><mixed-citation>
Byström, A., Hok, B., and Mason, B.: The crystal structure of zinc metantimonate and similar compounds, Arkiv for Kemi, Mineral. Geol., 15, 1–8, 1942.</mixed-citation></ref>
      <ref id="bib1.bibx13"><?xmltex \def\ref@label{Cooke(1877)}?><label>Cooke(1877)</label><?label COO77?><mixed-citation>
Cooke Jr., J. P.: Revision of the atomic weight of antimony, P. Am. Acad. Arts Sci., 13, 1–71, 1877.</mixed-citation></ref>
      <ref id="bib1.bibx14"><?xmltex \def\ref@label{Coughlin(1954)}?><label>Coughlin(1954)</label><?label COU54?><mixed-citation>
Coughlin, J. P.: Contributions to the data on theoretical metallurgy. XII. Heats and free energies of formation of inorganic oxides, Bulletin 542, United States Bureau of Mines, 84 pp., 1954.</mixed-citation></ref>
      <ref id="bib1.bibx15"><?xmltex \def\ref@label{Dachs and Bertoldi(2005)}?><label>Dachs and Bertoldi(2005)</label><?label DAC05?><mixed-citation>
Dachs, E. and Bertoldi, C.: Precision and accuracy of the heat-pulse calorimetric technique: low-temperature heat capacities of milligram-sized synthetic mineral samples, Eur. J. Mineral., 17, 251–261, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx16"><?xmltex \def\ref@label{Diemar et al.(2009)}?><label>Diemar et al.(2009)</label><?label DIE09?><mixed-citation>
Diemar, G. A., Filella, M., Leverett, P., and Williams, P. A.: Dispersion of antimony from oxidizing ore deposits, Pure Appl. Chem., 81, 1547–1553, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx17"><?xmltex \def\ref@label{Farmer et al.(1991)}?><label>Farmer et al.(1991)</label><?label FAR91?><mixed-citation>Farmer, V. C., Krishnamurti, G. S. R., and Huang, P. M.: Synthetic allophane and layer-silicate formation in SiO<inline-formula><mml:math id="M530" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-Al<inline-formula><mml:math id="M531" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M532" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-FeO-Fe<inline-formula><mml:math id="M533" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M534" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-MgO-H<inline-formula><mml:math id="M535" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O systems at 23 <inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 89 <inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in a calcareous environment, Clays Clay Miner., 39, 561–570, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx18"><?xmltex \def\ref@label{Filella and May(2003)}?><label>Filella and May(2003)</label><?label FIL03?><mixed-citation>
Filella, M. and May, P. M.: Computer simulation of the low-molecular-weight inorganic species distribution of antimony(III) and antimony(V) in natural waters, Geochim. Cosmochim. Acta, 67, 4013–4031, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx19"><?xmltex \def\ref@label{Friedrich et al.(2000)}?><label>Friedrich et al.(2000)</label><?label FRI00?><mixed-citation>Friedrich, A., Wildner, M., Tillmanns, E., and Merz, P. L.: Crystal chemistry of the new mineral brandholzite, Mg(H<inline-formula><mml:math id="M538" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O)<inline-formula><mml:math id="M539" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>[Sb(OH)<inline-formula><mml:math id="M540" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M541" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and of the synthetic analogues M<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>(H<inline-formula><mml:math id="M543" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O)<inline-formula><mml:math id="M544" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>[Sb(OH)<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math id="M546" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (M<inline-formula><mml:math id="M547" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M548" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Mg, Co), Am. Mineral., 85, 593–599, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx20"><?xmltex \def\ref@label{Glushko et al.(1972)}?><label>Glushko et al.(1972)</label><?label GLU72?><mixed-citation>
Glushko, V. P., Medvedev, V. A., Bergman, G. A., Vasilev, B. P., Gurvich, L. V., Alekseev, V. I., Kolesov, V. P., Yungman, V. S., Ioffe, N. T., Vorabev, A. F., Reznitskii, L. A., Khodakovskii, I. L., Smirnova, N. L., Galchenko, G. L., and Baibuz, V. F.: Thermicheskie konstanti veshtestv, Academy of Science, UDSSR, 1972.</mixed-citation></ref>
      <ref id="bib1.bibx21"><?xmltex \def\ref@label{Gribchenkova et al.(2009)}?><label>Gribchenkova et al.(2009)</label><?label GRI09?><mixed-citation>
Gribchenkova, N. A., Steblevskii, A. V., Meshkov, L. L., Alikhanyan, A. S., and Nipan, G. D.: The standard enthalpies of formation of mixed antimony and bismuth oxides, Chem. Thermod. Thermoch., 83, 713–716, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx22"><?xmltex \def\ref@label{Harder(1976)}?><label>Harder(1976)</label><?label HAR76?><mixed-citation>
Harder, H.: Nontronite synthesis at low temperatures, Chem. Geol., 18, 169–180, 1976.</mixed-citation></ref>
      <ref id="bib1.bibx23"><?xmltex \def\ref@label{Ilgen and Trainor(2012)}?><label>Ilgen and Trainor(2012)</label><?label ILG12?><mixed-citation>
Ilgen, A. G. and Trainor, T. P.: Sb(III) and Sb(V) sorption onto Al-rich phases. Hydrous Al oxide and the clay minerals kaolinite KGa-1b and oxidized and reduced nontronite NAu-1, Environ. Sci. Technol., 46, 843–851, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx24"><?xmltex \def\ref@label{Kasenov et al.(1996)}?><label>Kasenov et al.(1996)</label><?label KAS96?><mixed-citation>
Kasenov, B. K., Mukhanova, M. A., Kasenova, S. B., and Mustafin, E. S.: The thermodynamic properties of the alkaline-earth metal antimonates, Russ. J. Phys. Chem., 70, 18–20, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx25"><?xmltex \def\ref@label{Kato and Watanabe(1991)}?><label>Kato and Watanabe(1991)</label><?label KAT91?><mixed-citation>
Kato, T. and Watanabe, I.: The crystal structures of schallerite and friedelite, Yamaguchi University, College of Arts Bull., 26, 51–63, 1991.</mixed-citation></ref>
      <ref id="bib1.bibx26"><?xmltex \def\ref@label{Kennedy et al.(2007)}?><label>Kennedy et al.(2007)</label><?label KEN07?><mixed-citation>
Kennedy, C. A., Stancescu, M., Marriott, R. A., and White, M. A.: Recommendations for accurate heat capacity measurements using a Quantum Design physical property measurement system, Cryogenics, 47, 107–112, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx27"><?xmltex \def\ref@label{Knauth and Schwitzgebel(1988)}?><label>Knauth and Schwitzgebel(1988)</label><?label KNA88?><mixed-citation>
Knauth, P. and Schwitzgebel, G.: E.M.F. and calorimetric investigations of antimony oxides, Berich. Bunsen. Phys. Chem., 92, 32–35, 1988.</mixed-citation></ref>
      <ref id="bib1.bibx28"><?xmltex \def\ref@label{Konhauser et al.(1993)}?><label>Konhauser et al.(1993)</label><?label KON93?><mixed-citation>
Konhauser, K. O., Fyfe, W. S., Ferric, F. G., and Beveridge, T. J.: Metal sorption and mineral precipitation by bacteria in two Amazonian river systems, Rio Solimões and Rio Negro, Geology, 21, 1103–1106, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx29"><?xmltex \def\ref@label{Konopik and Zwiauer(1952)}?><label>Konopik and Zwiauer(1952)</label><?label KON52?><mixed-citation>
Konopik, N. and Zwiauer, J.: Über Antimontetroxyd. (Löslichkeit; Oxydationsstufen in Lösung), Monatshefte für Chemie und verwandte Teile anderer Wissenschaften, 83, 189–196, 1952.</mixed-citation></ref>
      <ref id="bib1.bibx30"><?xmltex \def\ref@label{Kovalenko et al.(2019)}?><label>Kovalenko et al.(2019)</label><?label KOV19?><mixed-citation>
Kovalenko, L. Yu., Yaroshenko, F. A., Burmistrov, V. A., Isaeva, T. N., and Galimov, D. M.: Thermolysis of hydrated antimony pentoxide, Inorg. Mat., 55, 586–592, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx31"><?xmltex \def\ref@label{Kubaschewski and Evans(1958)}?><label>Kubaschewski and Evans(1958)</label><?label KUB58?><mixed-citation>
Kubaschewski, O. and Evans, E. L.: Metallurgical Thermochemistry, 3rd edn., Pergamon Press, 1958.</mixed-citation></ref>
      <?pagebreak page371?><ref id="bib1.bibx32"><?xmltex \def\ref@label{Leverett et al.(2012)}?><label>Leverett et al.(2012)</label><?label LEV12?><mixed-citation>
Leverett, P., Reynolds, J. K., Roper, A. J., and Williams, P. A.: Tripuhyite and schafarzikite: two of the ultimate sinks for antimony in the natural environment, Mineral. Mag., 76, 891–902, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx33"><?xmltex \def\ref@label{Lilova et al.(2019)}?><label>Lilova et al.(2019)</label><?label LIL19?><mixed-citation>Lilova, K., Sharma, G., Hayun, S., Shoemaker, D. P., and Navrotsky, A.: Thermodynamics of Zn<inline-formula><mml:math id="M549" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>Mn<inline-formula><mml:math id="M550" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M551" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and Mg<inline-formula><mml:math id="M552" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>Cu<inline-formula><mml:math id="M553" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula>Cr<inline-formula><mml:math id="M554" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M555" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> spinel solid solutions, J. Mat. Res., 34, 3305–3311, <ext-link xlink:href="https://doi.org/10.1557/jmr.2019.196" ext-link-type="DOI">10.1557/jmr.2019.196</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx34"><?xmltex \def\ref@label{Liu et al.(2015)}?><label>Liu et al.(2015)</label><?label LIU15?><mixed-citation>
Liu, C. H., Chuang, Y.-H., Chen, T.-Y., Tian, Y., Li, H., Wang, M.-K., and Zhang, W.: Mechanism of arsenic adsorption on magnetite nanoparticles from water: Thermodynamic and spectroscopic studies, Environ. Sci. Technol., 49, 7726–7734, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx35"><?xmltex \def\ref@label{Maier(1934)}?><label>Maier(1934)</label><?label MAI34?><mixed-citation>
Maier, C. G.: Thermodynamic data on some metallurgically important compounds of lead and the antimony-group metals and their application, Rep. Inv., United States Bureau of Mines, 1934.</mixed-citation></ref>
      <ref id="bib1.bibx36"><?xmltex \def\ref@label{Majzlan et al.(2016)}?><label>Majzlan et al.(2016)</label><?label MAJ16?><mixed-citation>Majzlan, J., Števko, M., and Lánczos, T.: Soluble secondary minerals of antimony in Pezinok and Kremnica (Slovakia) and the question of mobility or immobility of antimony in mine waters, Environ. Chem., 13, 927–935, <ext-link xlink:href="https://doi.org/10.1071/EN16013" ext-link-type="DOI">10.1071/EN16013</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx37"><?xmltex \def\ref@label{Majzlan(2017)}?><label>Majzlan(2017)</label><?label MAJ17?><mixed-citation>
Majzlan, J.: Solution calorimetry on minerals related to acid mine drainage – methodology, checks, and balances, Acta Geol. Slov., 9, 171–183, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx38"><?xmltex \def\ref@label{Majzlan(2020)}?><label>Majzlan(2020)</label><?label MAJ20?><mixed-citation>
Majzlan, J.: Processes of metastable-mineral formation in oxidation zones and mine wastes, Mineral. Mag., 84, 367–375, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx39"><?xmltex \def\ref@label{Majzlan(2021)}?><label>Majzlan(2021)</label><?label MAJ21?><mixed-citation>Majzlan, J.: Primary and secondary minerals of antimony, in: Antimony, edited by: Filella, M., De Gruyter, <ext-link xlink:href="https://doi.org/10.1515/9783110668711-002" ext-link-type="DOI">10.1515/9783110668711-002</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx40"><?xmltex \def\ref@label{Milton et al.(1958)}?><label>Milton et al.(1958)</label><?label MIL58?><mixed-citation>
Milton, C., Axelrod, J. M., and Ingram, B.: Bismutoferrite, chapmanite, and “hypochlorite”, Am. Mineral., 43, 656–670, 1958.</mixed-citation></ref>
      <ref id="bib1.bibx41"><?xmltex \def\ref@label{Mixter(1909)}?><label>Mixter(1909)</label><?label MIX09?><mixed-citation>
Mixter, W. G.: The heat of formation of trisodium orthophosphate, trisodium orthoarsenate, the oxides of antimony, bismuth trioxide; and fourth paper on the heat of combination of acidic oxides with sodium oxide, Am. J. Sci., 28, 103–111, 1909.</mixed-citation></ref>
      <ref id="bib1.bibx42"><?xmltex \def\ref@label{Navrotsky(1997)}?><label>Navrotsky(1997)</label><?label NAV97?><mixed-citation>
Navrotsky, A.: Progress and new directions in high temperature calorimetry revisited, Phys. Chem. Min., 24, 222–241, 1997.</mixed-citation></ref>
      <ref id="bib1.bibx43"><?xmltex \def\ref@label{Navrotsky(2014)}?><label>Navrotsky(2014)</label><?label NAV14?><mixed-citation>
Navrotsky, A.: Progress and new directions in calorimetry: A 2014 perspective, J. Am. Ceram. Soc., 97, 3349–3359, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx44"><?xmltex \def\ref@label{Nekrasov(2009)}?><label>Nekrasov(2009)</label><?label NEK09?><mixed-citation>
Nekrasov, I. Ya.: Geochemistry, Mineralogy and Genesis of Gold Deposits, CRC Press, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx45"><?xmltex \def\ref@label{Pauliš et al.(2019)}?><label>Pauliš et al.(2019)</label><?label PAU19?><mixed-citation>
Pauliš, P., Dolníček, Z., Vrtiška, L., Pour, O., Žák, K., Ackerman, L., Veselovský, F., Pašava, J., Kadlec, T., and Malíková, R. Mineralogy of the stibnite deposit at Chříč near Rakovník (Czech Republic), Bull. Mineral. Petr., 27, 148–166, 2019 (in Czech).</mixed-citation></ref>
      <ref id="bib1.bibx46"><?xmltex \def\ref@label{Périchaud and Pierrot(1965)}?><label>Périchaud and Pierrot(1965)</label><?label PER65?><mixed-citation>
Périchaud, J.-J. and Pierrot, R.: La chapmanite de La Bessade (Haute-Loire), B. Soc. fr. Minér. Cristall. 88, 294–299, 1965.</mixed-citation></ref>
      <ref id="bib1.bibx47"><?xmltex \def\ref@label{Petříček et al.(2014)}?><label>Petříček et al.(2014)</label><?label PET14?><mixed-citation>
Petříček, V., Dušek, M., and Palatinus, L.: Crystallographic Computing System JANA2006: General features, Z. Kristall., 5, 345–352, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx48"><?xmltex \def\ref@label{Polák(1983)}?><label>Polák(1983)</label><?label POL83?><mixed-citation>
Polák, S.: Chapmanite from Pezinok, Miner. Slov., 15, 565–566, 1983 (in Slovak).</mixed-citation></ref>
      <ref id="bib1.bibx49"><?xmltex \def\ref@label{Polák(1988)}?><label>Polák(1988)</label><?label POL88?><mixed-citation>
Polák, S.: Once again on chapmanite from Pezinok, Miner. Slov., 20, 475–476, 1988 (in Slovak).</mixed-citation></ref>
      <ref id="bib1.bibx50"><?xmltex \def\ref@label{Robie and Hemingway(1995)}?><label>Robie and Hemingway(1995)</label><?label ROB95?><mixed-citation>Robie, R. A. and Hemingway, B. S.: Thermodynamic properties of minerals and related substances at 298.15 K and 1 bar (10<inline-formula><mml:math id="M556" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:math></inline-formula> Pascals) pressure and at higher temperatures, U.S. Geol. Survey Bull., 2131, 461 pp., 1995.</mixed-citation></ref>
      <ref id="bib1.bibx51"><?xmltex \def\ref@label{Roper et al.(2015)}?><label>Roper et al.(2015)</label><?label ROP15?><mixed-citation>Roper, A. J., Leverett, P., Murphy, T. D., and Williams, P. A.: Stabilities of byströmite, MgSb<inline-formula><mml:math id="M557" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M558" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>, ordoñezite, ZnSb<inline-formula><mml:math id="M559" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M560" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula> and rosiaite, PbSb<inline-formula><mml:math id="M561" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:math></inline-formula>, and their possible roles in limiting antimony mobility in the supergene zone, Mineral. Mag., 79, 537–544, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx52"><?xmltex \def\ref@label{Rossini et al.(1952)}?><label>Rossini et al.(1952)</label><?label ROS52?><mixed-citation>
Rossini, F. D., Wagman, D. D., Evans, W. H., Levine, S., and Jaffe, I.: Selected values of chemical thermodynamic properties, Circ. Nat. Bureau Stand., 500 pp., 1952.</mixed-citation></ref>
      <ref id="bib1.bibx53"><?xmltex \def\ref@label{Schwarzmann et al.(1977)}?><label>Schwarzmann et al.(1977)</label><?label SCH77?><mixed-citation>Schwarzmann, E., Rumpel, H., and Berndt, W.: Synthese von Diantimonpentoxid Sb<inline-formula><mml:math id="M563" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M564" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula>, Z. Naturf. B, 32, 617–618, 1977.</mixed-citation></ref>
      <ref id="bib1.bibx54"><?xmltex \def\ref@label{Sejkora et al.(2007)}?><label>Sejkora et al.(2007)</label><?label SEJ07?><mixed-citation>
Sejkora, J., Ozdín, D., Vitálos, J., Tuček, P., Čejka, J., and Ďuďa, R.: Schafarzikite from the type locality Pernek (Malé Karpaty Mountains, Slovak Republic) revisited, Eur. J. Mineral., 19, 419–427, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx55"><?xmltex \def\ref@label{Simon and Thaler(1927)}?><label>Simon and Thaler(1927)</label><?label SIM27?><mixed-citation>
Simon, A. and Thaler, E.: Beiträge zur Kenntnis von Oxyden. Zur Kenntnis der Oxyde des Antimons, Z. Anorg. Chem., 162, 253–278, 1927.</mixed-citation></ref>
      <ref id="bib1.bibx56"><?xmltex \def\ref@label{\'{S}rodek et al.(2019)}?><label>Środek et al.(2019)</label><?label SRO19?><mixed-citation>
Środek, D., Encheva, S., Petrov, P., Gospodinov, N., and Galuskina, I.: Clinobisvanite and bismutoferrite from the village of Boyadzhik area, Yambol Region – new minerals for Bulgaria, Rev. Bulg. Geol. Soc., 80, 42–44, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx57"><?xmltex \def\ref@label{Stewart et al.(1972)}?><label>Stewart et al.(1972)</label><?label STE72?><mixed-citation>
Stewart, D. J., Knop, O., Ayasse, C., and Woodhams, F. W. D.: Pyrochlores. VII. The oxides of antimony: an X-ray and Mössbauer study, Can. J. Chem., 50, 690–700, 1972.</mixed-citation></ref>
      <ref id="bib1.bibx58"><?xmltex \def\ref@label{Thanabalasingam and Pickering(1990)}?><label>Thanabalasingam and Pickering(1990)</label><?label THA90?><mixed-citation>
Thanabalasingam, P. and Pickering, W.: Specific sorption of antimony (III) by the hydrous oxides of Mn, Fe, and Al, Water Air Soil Pollut., 49, 175–185, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx59"><?xmltex \def\ref@label{Verryn and Meulenbeeld(2000)}?><label>Verryn and Meulenbeeld(2000)</label><?label VER00?><mixed-citation>Verryn, S. M. C. and Meulenbeeld, P. M. P. B: A new locality for Chapmanite (Sb(OH)Fe<inline-formula><mml:math id="M565" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(SiO<inline-formula><mml:math id="M566" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>)<inline-formula><mml:math id="M567" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) at a lead-silver-zinc deposit near Argent Station, Mpumalanga, South Africa, Neues Jb. Mineral. Monat., 85–90, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx60"><?xmltex \def\ref@label{Wagman et al.(1965)}?><label>Wagman et al.(1965)</label><?label WAG65?><mixed-citation>
Wagman, D. D., Evans, W. H., Halow, I., Parker, V. B., Bailey, S. M., and Schumm, R. H.: Selected values of chemical thermodynamic properties Part 1. Tables for the first twenty-three elements in the standard order of arrangement, Nat. Bureau Stand., Techn. Note 270-1, 1965.</mixed-citation></ref>
      <ref id="bib1.bibx61"><?xmltex \def\ref@label{Wagman et al.(1982)}?><label>Wagman et al.(1982)</label><?label WAG82?><mixed-citation>Wagman, D. D., Evans, W. H., Parker, V. B., Schumm, R. H., Halow, I., Bailey, S. M., Churney, K. L., and Nuttall, R. L.: The NBS tables of chemical thermodynamic properties. Selected values for inorganic and C1 and C2 organic substances in SI units, J. Phys. Chem. Ref. Data, 11, 407 pp., 1982.
 </mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx62"><?xmltex \def\ref@label{Walker(1924)}?><label>Walker(1924)</label><?label WAL24?><mixed-citation>
Walker, T. L.: Chapmanite, a new mineral from South Lorraine, Ontario. Univ. of Toronto Studies, Geol. Ser. 17, 5–8, 1924.</mixed-citation></ref>
      <ref id="bib1.bibx63"><?xmltex \def\ref@label{Whitten et al.(2004)}?><label>Whitten et al.(2004)</label><?label WHI04?><mixed-citation>
Whitten, A. E., Dittrich, B., Spackman, M. A., Turner, P., and Brown, T. C.: Charge density analysis of two polymorphs of antimony(III) oxide, Dalton Trans., 23–29, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx64"><?xmltex \def\ref@label{Zhukhlistov and Zvyagin(1977)}?><label>Zhukhlistov and Zvyagin(1977)</label><?label ZHU77?><mixed-citation>
Zhukhlistov, A. P. and Zvyagin, B. B.: Determination of the crystal structures of chapmanite and bismuthoferrite by high-voltage electron diffraction, Kristallografiya, 22, 731–738, 1977.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Chapmanite [Fe<sub>2</sub>Sb(Si<sub>2</sub>O<sub>5</sub>)O<sub>3</sub>(OH)]: thermodynamic properties and formation in low-temperature environments</article-title-html>
<abstract-html><p>In this work, we have determined or evaluated thermodynamic properties of synthetic Sb<sub>2</sub>O<sub>5</sub>, MgSb<sub>2</sub>O<sub>6</sub> (analogue of the mineral byströmite), Mg[Sb(OH)<sub>6</sub>]<sub>2</sub> ⋅ 6H<sub>2</sub>O (brandholzite), and natural chapmanite [(Fe<sub>1.88</sub>Al<sub>0.12</sub>)Sb(Si<sub>2</sub>O<sub>5</sub>)O<sub>3</sub>(OH)]. Enthalpies of reactions, including formation enthalpies, were evaluated using reference compounds Sb, Sb<sub>2</sub>O<sub>3</sub>, Sb<sub>2</sub>O<sub>5</sub>, and other phases, with high-temperature oxide melt solution calorimetry in lead borate and sodium molybdate solvents. Heat capacity and entropy were determined by relaxation and differential scanning calorimetry. The best set of Δ<sub><i>f</i></sub><i>H</i><sup>o</sup> (kJ&thinsp;mol<sup>−1</sup>) and <i>S</i><sup>o</sup> (J&thinsp;mol<sup>−1</sup>&thinsp;K<sup>−1</sup>) is byströmite −1733.0±3.6, 139.3±1.0; brandholzite −5243.1±3.6, 571.0±4.0; and chapmanite −3164.9±4.7, 305.1±2.1. The data for chapmanite give Δ<sub><i>f</i></sub><i>G</i><sup>o</sup> of −2973.6±4.7&thinsp;kJ&thinsp;mol<sup>−1</sup> and <i>log</i><i>K</i> = −17.10 for the dissolution reaction (Fe<sub>1.88</sub>Al<sub>0.12</sub>)Sb(Si<sub>2</sub>O<sub>5</sub>)O<sub>3</sub>(OH)&thinsp;+&thinsp;6H<sup>+</sup> → &thinsp;1.88Fe<sup>3+</sup>&thinsp;+&thinsp;0.12Al<sup>3+</sup>&thinsp;+&thinsp;2SiO<sub>2</sub><sup>0</sup>&thinsp;+&thinsp;Sb(OH)<sub>3</sub><sup>0</sup>&thinsp;+&thinsp;2H<sub>2</sub>O. Analysis of the data showed that chapmanite is finely balanced in terms of its stability with schafarzikite (FeSb<sub>2</sub>O<sub>4</sub>) and tripuhyite (FeSbO<sub>4</sub>) under a specific, narrow range of conditions when both aqueous Fe(III) and Sb(III) are abundant. In such a model, chapmanite is metastable by a narrow margin but could be stabilized by high SiO<sub>2</sub><sup>0</sup>(aq) activities. Natural assemblages of chapmanite commonly contain abundant amorphous silica, suggesting that this mechanism may be indeed responsible for the formation of chapmanite. Chapmanite probably forms during low-temperature hydrothermal overprint of pre-existing Sb ores under moderately reducing conditions; the slightly elevated temperatures may help to overcome the kinetic barrier for its crystallization. During weathering, sheet silicates may adsorb Sb<sup>3+</sup> in tridentate hexanuclear fashion, thus exposing their chapmanite-like surfaces to the surrounding aqueous environment. Formation of chapmanite, as many other sheet silicates, under ambient conditions, is unlikely.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Abramchuk et al.(2020)</label><mixed-citation>
Abramchuk, M., Lilova, K., Subramani, T., Yoo, R., and Navrotsky, A.: Development of high-temperature oxide melt solution calorimetry for p-block element containing materials, J. Mater. Res., 35, 2239–2246, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Amador et al.(1988)</label><mixed-citation>
Amador, J., Gutierrez-Puebla, E., Monge, M. A., Rasines, I., and Ruiz-Valero, C.: Diantimony tetraoxides revisited, Inorg. Chem., 27, 1367–1370, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Aspiala et al.(2014)</label><mixed-citation>
Aspiala, M., Sukhomlinov, D., and Taskinen, P.: Determination of standard thermodynamic properties of Sb<sub>2</sub>O<sub>3</sub> by a solid-oxide electrolyte EMF technique, Solid State Ionics, 265, 80–84, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Auffan et al.(2008)</label><mixed-citation>
Auffan, M., Rose, J., Proux, O., Borschneck, D., Masion, A., Chaurand, P., Hazemann, J.-L., Chaneac, C., Jolivet, J.-P., Wiesner, M. R., van Geen, A., and Bottero, J.-Y.: Enhanced adsorption of arsenic onto maghemites nanoparticles: As(III) as a probe of the surface structure and heterogeneity, Langmuir, 24, 3215–3222, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Ballirano et al.(1998)</label><mixed-citation>
Ballirano, P., Maras, A., Marchetti, F., Merlino, S., and Perchiazzi, N.: Rietveld refinement of chapmanite SbFe<sub>2</sub>Si<sub>2</sub>O<sub>8</sub>OH, a TO dioctahedral kaolinite-like mineral, Powder Diffr., 13, 44–49, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Barin and Knacke(1973)</label><mixed-citation>
Barin, I. and Knacke, O.: Thermochemical properties of inorganic substances, Springer, 1973.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Barin et al.(1977)</label><mixed-citation>
Barin, I., Knacke, O. and Kubaschewski, O.: Thermochemical properties of inorganic substances, Supplement volume, Springer, <a href="https://doi.org/10.1007/978-3-662-02293-1" target="_blank">https://doi.org/10.1007/978-3-662-02293-1</a>, 1977.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Benisek et al.(2012)</label><mixed-citation>
Benisek, A., Kroll, H., and Dachs, E.: The heat capacity of fayalite at high temperatures, Am. Mineral., 97, 657–660, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Biltz(1908)</label><mixed-citation>
Biltz, W.: Ueber die Temperaturabhängigkeit der Valenz zwischen Metallen und Sauerstoff, Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, Math.-Phys. Klasse, 293–317, 1908.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Brannon and Patrick(1985)</label><mixed-citation>
Brannon, J. and Patrick, W.: Fixation and mobilization of antimony in sediments, Environ. Pollut. B, 9, 107–126, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Burton et al.(2020)</label><mixed-citation>
Burton, E. D., Hockmann, K., and Karimian, N.: Antimony sorption to goethite: Effects of Fe(II)-catalyzed recrystallization, ACS Earth Space Chem., 4, 476–487, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Byström et al.(1942)</label><mixed-citation>
Byström, A., Hok, B., and Mason, B.: The crystal structure of zinc metantimonate and similar compounds, Arkiv for Kemi, Mineral. Geol., 15, 1–8, 1942.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Cooke(1877)</label><mixed-citation>
Cooke Jr., J. P.: Revision of the atomic weight of antimony, P. Am. Acad. Arts Sci., 13, 1–71, 1877.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Coughlin(1954)</label><mixed-citation>
Coughlin, J. P.: Contributions to the data on theoretical metallurgy. XII. Heats and free energies of formation of inorganic oxides, Bulletin 542, United States Bureau of Mines, 84 pp., 1954.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Dachs and Bertoldi(2005)</label><mixed-citation>
Dachs, E. and Bertoldi, C.: Precision and accuracy of the heat-pulse calorimetric technique: low-temperature heat capacities of milligram-sized synthetic mineral samples, Eur. J. Mineral., 17, 251–261, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Diemar et al.(2009)</label><mixed-citation>
Diemar, G. A., Filella, M., Leverett, P., and Williams, P. A.: Dispersion of antimony from oxidizing ore deposits, Pure Appl. Chem., 81, 1547–1553, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Farmer et al.(1991)</label><mixed-citation>
Farmer, V. C., Krishnamurti, G. S. R., and Huang, P. M.: Synthetic allophane and layer-silicate formation in SiO<sub>2</sub>-Al<sub>2</sub>O<sub>3</sub>-FeO-Fe<sub>2</sub>O<sub>3</sub>-MgO-H<sub>2</sub>O systems at 23&thinsp;°C and 89&thinsp;°C in a calcareous environment, Clays Clay Miner., 39, 561–570, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Filella and May(2003)</label><mixed-citation>
Filella, M. and May, P. M.: Computer simulation of the low-molecular-weight inorganic species distribution of antimony(III) and antimony(V) in natural waters, Geochim. Cosmochim. Acta, 67, 4013–4031, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Friedrich et al.(2000)</label><mixed-citation>
Friedrich, A., Wildner, M., Tillmanns, E., and Merz, P. L.: Crystal chemistry of the new mineral brandholzite, Mg(H<sub>2</sub>O)<sub>6</sub>[Sb(OH)<sub>6</sub>]<sub>2</sub>, and of the synthetic analogues M<sup>2+</sup>(H<sub>2</sub>O)<sub>6</sub>[Sb(OH)<sub>6</sub>]<sub>2</sub> (M<sup>2+</sup>&thinsp; = &thinsp;Mg, Co), Am. Mineral., 85, 593–599, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Glushko et al.(1972)</label><mixed-citation>
Glushko, V. P., Medvedev, V. A., Bergman, G. A., Vasilev, B. P., Gurvich, L. V., Alekseev, V. I., Kolesov, V. P., Yungman, V. S., Ioffe, N. T., Vorabev, A. F., Reznitskii, L. A., Khodakovskii, I. L., Smirnova, N. L., Galchenko, G. L., and Baibuz, V. F.: Thermicheskie konstanti veshtestv, Academy of Science, UDSSR, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Gribchenkova et al.(2009)</label><mixed-citation>
Gribchenkova, N. A., Steblevskii, A. V., Meshkov, L. L., Alikhanyan, A. S., and Nipan, G. D.: The standard enthalpies of formation of mixed antimony and bismuth oxides, Chem. Thermod. Thermoch., 83, 713–716, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Harder(1976)</label><mixed-citation>
Harder, H.: Nontronite synthesis at low temperatures, Chem. Geol., 18, 169–180, 1976.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Ilgen and Trainor(2012)</label><mixed-citation>
Ilgen, A. G. and Trainor, T. P.: Sb(III) and Sb(V) sorption onto Al-rich phases. Hydrous Al oxide and the clay minerals kaolinite KGa-1b and oxidized and reduced nontronite NAu-1, Environ. Sci. Technol., 46, 843–851, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Kasenov et al.(1996)</label><mixed-citation>
Kasenov, B. K., Mukhanova, M. A., Kasenova, S. B., and Mustafin, E. S.: The thermodynamic properties of the alkaline-earth metal antimonates, Russ. J. Phys. Chem., 70, 18–20, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Kato and Watanabe(1991)</label><mixed-citation>
Kato, T. and Watanabe, I.: The crystal structures of schallerite and friedelite, Yamaguchi University, College of Arts Bull., 26, 51–63, 1991.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Kennedy et al.(2007)</label><mixed-citation>
Kennedy, C. A., Stancescu, M., Marriott, R. A., and White, M. A.: Recommendations for accurate heat capacity measurements using a Quantum Design physical property measurement system, Cryogenics, 47, 107–112, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Knauth and Schwitzgebel(1988)</label><mixed-citation>
Knauth, P. and Schwitzgebel, G.: E.M.F. and calorimetric investigations of antimony oxides, Berich. Bunsen. Phys. Chem., 92, 32–35, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Konhauser et al.(1993)</label><mixed-citation>
Konhauser, K. O., Fyfe, W. S., Ferric, F. G., and Beveridge, T. J.: Metal sorption and mineral precipitation by bacteria in two Amazonian river systems, Rio Solimões and Rio Negro, Geology, 21, 1103–1106, 1993.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Konopik and Zwiauer(1952)</label><mixed-citation>
Konopik, N. and Zwiauer, J.: Über Antimontetroxyd. (Löslichkeit; Oxydationsstufen in Lösung), Monatshefte für Chemie und verwandte Teile anderer Wissenschaften, 83, 189–196, 1952.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Kovalenko et al.(2019)</label><mixed-citation>
Kovalenko, L. Yu., Yaroshenko, F. A., Burmistrov, V. A., Isaeva, T. N., and Galimov, D. M.: Thermolysis of hydrated antimony pentoxide, Inorg. Mat., 55, 586–592, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Kubaschewski and Evans(1958)</label><mixed-citation>
Kubaschewski, O. and Evans, E. L.: Metallurgical Thermochemistry, 3rd edn., Pergamon Press, 1958.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Leverett et al.(2012)</label><mixed-citation>
Leverett, P., Reynolds, J. K., Roper, A. J., and Williams, P. A.: Tripuhyite and schafarzikite: two of the ultimate sinks for antimony in the natural environment, Mineral. Mag., 76, 891–902, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Lilova et al.(2019)</label><mixed-citation>
Lilova, K., Sharma, G., Hayun, S., Shoemaker, D. P., and Navrotsky, A.: Thermodynamics of Zn<sub><i>x</i></sub>Mn<sub>3 − <i>x</i></sub>O<sub>4</sub> and Mg<sub>1 − <i>z</i></sub>Cu<sub><i>z</i></sub>Cr<sub>2</sub>O<sub>4</sub> spinel solid solutions, J. Mat. Res., 34, 3305–3311, <a href="https://doi.org/10.1557/jmr.2019.196" target="_blank">https://doi.org/10.1557/jmr.2019.196</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Liu et al.(2015)</label><mixed-citation>
Liu, C. H., Chuang, Y.-H., Chen, T.-Y., Tian, Y., Li, H., Wang, M.-K., and Zhang, W.: Mechanism of arsenic adsorption on magnetite nanoparticles from water: Thermodynamic and spectroscopic studies, Environ. Sci. Technol., 49, 7726–7734, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Maier(1934)</label><mixed-citation>
Maier, C. G.: Thermodynamic data on some metallurgically important compounds of lead and the antimony-group metals and their application, Rep. Inv., United States Bureau of Mines, 1934.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Majzlan et al.(2016)</label><mixed-citation>
Majzlan, J., Števko, M., and Lánczos, T.: Soluble secondary minerals of antimony in Pezinok and Kremnica (Slovakia) and the question of mobility or immobility of antimony in mine waters, Environ. Chem., 13, 927–935, <a href="https://doi.org/10.1071/EN16013" target="_blank">https://doi.org/10.1071/EN16013</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Majzlan(2017)</label><mixed-citation>
Majzlan, J.: Solution calorimetry on minerals related to acid mine drainage – methodology, checks, and balances, Acta Geol. Slov., 9, 171–183, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Majzlan(2020)</label><mixed-citation>
Majzlan, J.: Processes of metastable-mineral formation in oxidation zones and mine wastes, Mineral. Mag., 84, 367–375, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Majzlan(2021)</label><mixed-citation>
Majzlan, J.: Primary and secondary minerals of antimony, in: Antimony, edited by: Filella, M., De Gruyter, <a href="https://doi.org/10.1515/9783110668711-002" target="_blank">https://doi.org/10.1515/9783110668711-002</a>, 2021.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Milton et al.(1958)</label><mixed-citation>
Milton, C., Axelrod, J. M., and Ingram, B.: Bismutoferrite, chapmanite, and “hypochlorite”, Am. Mineral., 43, 656–670, 1958.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Mixter(1909)</label><mixed-citation>
Mixter, W. G.: The heat of formation of trisodium orthophosphate, trisodium orthoarsenate, the oxides of antimony, bismuth trioxide; and fourth paper on the heat of combination of acidic oxides with sodium oxide, Am. J. Sci., 28, 103–111, 1909.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Navrotsky(1997)</label><mixed-citation>
Navrotsky, A.: Progress and new directions in high temperature calorimetry revisited, Phys. Chem. Min., 24, 222–241, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Navrotsky(2014)</label><mixed-citation>
Navrotsky, A.: Progress and new directions in calorimetry: A 2014 perspective, J. Am. Ceram. Soc., 97, 3349–3359, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Nekrasov(2009)</label><mixed-citation>
Nekrasov, I. Ya.: Geochemistry, Mineralogy and Genesis of Gold Deposits, CRC Press, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Pauliš et al.(2019)</label><mixed-citation>
Pauliš, P., Dolníček, Z., Vrtiška, L., Pour, O., Žák, K., Ackerman, L., Veselovský, F., Pašava, J., Kadlec, T., and Malíková, R. Mineralogy of the stibnite deposit at Chříč near Rakovník (Czech Republic), Bull. Mineral. Petr., 27, 148–166, 2019 (in Czech).
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Périchaud and Pierrot(1965)</label><mixed-citation>
Périchaud, J.-J. and Pierrot, R.: La chapmanite de La Bessade (Haute-Loire), B. Soc. fr. Minér. Cristall. 88, 294–299, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Petříček et al.(2014)</label><mixed-citation>
Petříček, V., Dušek, M., and Palatinus, L.: Crystallographic Computing System JANA2006: General features, Z. Kristall., 5, 345–352, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Polák(1983)</label><mixed-citation>
Polák, S.: Chapmanite from Pezinok, Miner. Slov., 15, 565–566, 1983 (in Slovak).
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Polák(1988)</label><mixed-citation>
Polák, S.: Once again on chapmanite from Pezinok, Miner. Slov., 20, 475–476, 1988 (in Slovak).
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Robie and Hemingway(1995)</label><mixed-citation>
Robie, R. A. and Hemingway, B. S.: Thermodynamic properties of minerals and related substances at 298.15&thinsp;K and 1&thinsp;bar (10<sup>5</sup> Pascals) pressure and at higher temperatures, U.S. Geol. Survey Bull., 2131, 461 pp., 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Roper et al.(2015)</label><mixed-citation>
Roper, A. J., Leverett, P., Murphy, T. D., and Williams, P. A.: Stabilities of byströmite, MgSb<sub>2</sub>O<sub>6</sub>, ordoñezite, ZnSb<sub>2</sub>O<sub>6</sub> and rosiaite, PbSb<sub>2</sub>O<sub>6</sub>, and their possible roles in limiting antimony mobility in the supergene zone, Mineral. Mag., 79, 537–544, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Rossini et al.(1952)</label><mixed-citation>
Rossini, F. D., Wagman, D. D., Evans, W. H., Levine, S., and Jaffe, I.: Selected values of chemical thermodynamic properties, Circ. Nat. Bureau Stand., 500 pp., 1952.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Schwarzmann et al.(1977)</label><mixed-citation>
Schwarzmann, E., Rumpel, H., and Berndt, W.: Synthese von Diantimonpentoxid Sb<sub>2</sub>O<sub>5</sub>, Z. Naturf. B, 32, 617–618, 1977.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Sejkora et al.(2007)</label><mixed-citation>
Sejkora, J., Ozdín, D., Vitálos, J., Tuček, P., Čejka, J., and Ďuďa, R.: Schafarzikite from the type locality Pernek (Malé Karpaty Mountains, Slovak Republic) revisited, Eur. J. Mineral., 19, 419–427, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Simon and Thaler(1927)</label><mixed-citation>
Simon, A. and Thaler, E.: Beiträge zur Kenntnis von Oxyden. Zur Kenntnis der Oxyde des Antimons, Z. Anorg. Chem., 162, 253–278, 1927.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Środek et al.(2019)</label><mixed-citation>
Środek, D., Encheva, S., Petrov, P., Gospodinov, N., and Galuskina, I.: Clinobisvanite and bismutoferrite from the village of Boyadzhik area, Yambol Region – new minerals for Bulgaria, Rev. Bulg. Geol. Soc., 80, 42–44, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Stewart et al.(1972)</label><mixed-citation>
Stewart, D. J., Knop, O., Ayasse, C., and Woodhams, F. W. D.: Pyrochlores. VII. The oxides of antimony: an X-ray and Mössbauer study, Can. J. Chem., 50, 690–700, 1972.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Thanabalasingam and Pickering(1990)</label><mixed-citation>
Thanabalasingam, P. and Pickering, W.: Specific sorption of antimony (III) by the hydrous oxides of Mn, Fe, and Al, Water Air Soil Pollut., 49, 175–185, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Verryn and Meulenbeeld(2000)</label><mixed-citation>
Verryn, S. M. C. and Meulenbeeld, P. M. P. B: A new locality for Chapmanite (Sb(OH)Fe<sub>2</sub>(SiO<sub>4</sub>)<sub>2</sub>) at a lead-silver-zinc deposit near Argent Station, Mpumalanga, South Africa, Neues Jb. Mineral. Monat., 85–90, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Wagman et al.(1965)</label><mixed-citation>
Wagman, D. D., Evans, W. H., Halow, I., Parker, V. B., Bailey, S. M., and Schumm, R. H.: Selected values of chemical thermodynamic properties Part 1. Tables for the first twenty-three elements in the standard order of arrangement, Nat. Bureau Stand., Techn. Note 270-1, 1965.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Wagman et al.(1982)</label><mixed-citation>
Wagman, D. D., Evans, W. H., Parker, V. B., Schumm, R. H., Halow, I., Bailey, S. M., Churney, K. L., and Nuttall, R. L.: The NBS tables of chemical thermodynamic properties. Selected values for inorganic and C1 and C2 organic substances in SI units, J. Phys. Chem. Ref. Data, 11, 407 pp., 1982.

</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Walker(1924)</label><mixed-citation>
Walker, T. L.: Chapmanite, a new mineral from South Lorraine, Ontario. Univ. of Toronto Studies, Geol. Ser. 17, 5–8, 1924.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Whitten et al.(2004)</label><mixed-citation>
Whitten, A. E., Dittrich, B., Spackman, M. A., Turner, P., and Brown, T. C.: Charge density analysis of two polymorphs of antimony(III) oxide, Dalton Trans., 23–29, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Zhukhlistov and Zvyagin(1977)</label><mixed-citation>
Zhukhlistov, A. P. and Zvyagin, B. B.: Determination of the crystal structures of chapmanite and bismuthoferrite by high-voltage electron diffraction, Kristallografiya, 22, 731–738, 1977.
</mixed-citation></ref-html>--></article>
