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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GChron</journal-id><journal-title-group>
    <journal-title>Geochronology</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GChron</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geochronology</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2628-3719</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/gchron-8-495-2026</article-id><title-group><article-title>U-Pb dating of sub-ng g<sup>−1</sup> U garnet by LA-MC-ICP-MS</article-title><alt-title><inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating of sub-<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> garnet by LA-MC-ICP-MS</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Beranoaguirre</surname><given-names>Aratz</given-names></name>
          <email>beranoaguirre@fierce.uni-frankfurt.de</email>
        <ext-link>https://orcid.org/0000-0002-1137-6498</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Millonig</surname><given-names>Leo J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5983-936X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Albert</surname><given-names>Richard</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0185-8581</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Marschall</surname><given-names>Horst R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0609-682X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Gerdes</surname><given-names>Axel</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Frankfurt Isotope and Element Research Center (FIERCE), Goethe-University Frankfurt, 60438 Frankfurt am Main, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Goethe-University Frankfurt, Department of Geosciences, 60438 Frankfurt am Main, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Aratz Beranoaguirre (beranoaguirre@fierce.uni-frankfurt.de)</corresp></author-notes><pub-date><day>10</day><month>September</month><year>2026</year></pub-date>
      
      <volume>8</volume>
      <issue>3</issue>
      <fpage>495</fpage><lpage>509</lpage>
      <history>
        <date date-type="received"><day>2</day><month>July</month><year>2026</year></date>
           <date date-type="rev-request"><day>10</day><month>July</month><year>2026</year></date>
           <date date-type="rev-recd"><day>1</day><month>September</month><year>2026</year></date>
           <date date-type="accepted"><day>3</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Aratz Beranoaguirre et al.</copyright-statement>
        <copyright-year>2026</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://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026.html">This article is available from https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026.html</self-uri><self-uri xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026.pdf">The full text article is available as a PDF file from https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e168">Advances in laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS) have largely focused on improving spatial resolution through progressively smaller laser spot sizes. Here, we explore the opposite end of the analytical limits by investigating the lower concentration limits of in-situ <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology in garnet. Using a Neptune Plus multi-collector ICP-MS equipped with seven ion counters, we developed an analytical workflow specifically designed for metamorphic garnet with ultra-low <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M6" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The method was used to date garnet from a wide range of ages and geological settings, including granulites, eclogites and hydrothermal demantoids. Uranium concentrations were exceptionally low, even below 1 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in some cases. At these concentrations, the total amount of <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> ablated during a single analysis is at femtogram levels, more than three orders of magnitude lower than that of a typical in-situ analysis of zircon. Despite these extremely low signal intensities, geologically meaningful ages were obtained for the analysed samples. Analytical precision depends on the <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and radiogenic <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, but we have obtained precisions of ca. 5 %–6 % for garnet containing less than 1 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula>. In garnet with higher <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations or ages as old as the Archean, internal precision of ca. 1 % may be achieved. These results expand the applicability of in-situ garnet <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology to the vast majority of metamorphic garnet, providing a powerful new tool for constraining garnet growth, prograde metamorphism, and deep crustal evolution.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>521366037</award-id>
<award-id>INST 161/921-1 FUGG</award-id>
<award-id>INST 161/923-1 FUGG</award-id>
<award-id>INST 161/1073-1 FUGG</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Wilhelm und Else Heraeus-Stiftung</funding-source>
<award-id>na</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

      
<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e309">The combination of laser ablation (LA) systems with inductively coupled plasma mass spectrometers (ICP-MS) revolutionised in-situ chemical analysis during the 1980s (Gray, 1985; Arrowsmith, 1987). Since the pioneering works, LA-ICP-MS <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology of high-<inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> accessory minerals such as zircon, monazite, or titanite has become a routine analytical tool (e.g., Fryer et al., 1993; Machado and Gauthier, 1996; Willigers et al., 2002; Kosler and Sylvester, 2003; Horstwood et al., 2016). Besides, over the last decade, these analytical capabilities have also been expanded to minerals with lower <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M18" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), including carbonate (Roberts and Walker, 2016; Ring and Gerdes, 2016), sulfate (Beranoaguirre et al., 2022), fluorite (Piccione et al., 2019), and garnet (Seman et al., 2017; Millonig et al., 2020; O'Sullivan et al., 2023), among others. Continuous advances in instrumentation have also been accompanied by progressively smaller laser spot sizes (review in Sylvester and Jackson, 2016), improving the spatial resolution and enabling the distinction of multiple domains within a single crystal (e.g., Chew et al., 2017). In turn, analysing low-<inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> minerals requires a different strategy, in which the main challenge is no longer spatial resolution, but concentration sensitivity. This issue is particularly challenging for metamorphic garnet, since its <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> amounts are extremely low (Deng et al., 2022). Therefore, being capable of developing a robust analytical strategy for analysing metamorphic garnet would represent a major advance in metamorphic petrology.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e393"><bold>(a)</bold> Schematic detector configuration of the Neptune Plus MC-ICP-MS used in this study, showing the positions and measured isotopes for the low-<inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> analytical configuration (modified after Richter et al., 2016). <bold>(b)</bold> Approximate signal intensity ranges covered by Faraday cups, secondary electron multipliers (SEM), and compact discrete dynode (CDD) ion counters.</p></caption>
        <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f01.png"/>

      </fig>

      <p id="d2e415">Unlike many geochronological systems that either record cooling and exhumation histories (e.g., apatite fission-track, (U–Th)/He, and Ar-based systems) or preferentially date high-temperature metamorphic events (e.g., zircon, monazite, and titanite <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology) (Dodson, 1973; McDougall and Harrison, 1999; Rubatto, 2002; Reiners et al., 2005; Flowers et al., 2009; Kohn et al., 2017), garnet can preserve prograde metamorphic growth histories over a wide range of pressure–temperature conditions (Spear and Parrish, 1996; Caddick and Kohn, 2013), in part due to its exceptionally high closure temperature for the <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> system (potentially exceeding 1000 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; Dahl, 1997; Shu et al., 2024). Traditionally, garnet has been dated by <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sm</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Nd</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> (e.g. Duchêne et al., 1997; Baxter et al., 2017). Although a very high precision can be achieved through these systems, they require laborious mineral separation and dissolution procedures. More recently, the use of tandem mass spectrometry (ICP-MS/MS) has also enabled the in-situ <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> garnet dating (Simpson et al., 2021). However, the application of in-situ <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> geochronology remains largely restricted to relatively old metamorphic systems (Caledonian or older; Tamblyn et al., 2022; Kirkland et al., 2025). This limitation may arise from the low radiogenic growth of <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">176</mml:mn></mml:msup><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> in younger garnet, which hampers analytical precision and age resolution in younger orogens. In contrast, <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> garnet geochronology has been used to resolve younger metamorphic events (Peillod et al., 2024; Manzotti et al., 2025). Consequently, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> garnet geochronology (eventually complemented with in-situ <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> dating) offers a unique opportunity to directly constrain the timing of prograde metamorphism and deep crustal processes.</p>
      <p id="d2e550">In this study, we investigate the lower limits of the <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in garnet required to obtain meaningful garnet <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dates by LA-MC-ICP-MS. For that purpose, we have optimised the LA-MC-ICP-MS method on a series of natural, low-<inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> metamorphic garnet specimens from granulites, eclogites, and one gemstone-quality grossular-andradite (i.e. demantoid). The possibility to date garnet crystals with extremely low <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M40" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) by LA-MC-ICP-MS is expected to substantially increase the field of application of garnet <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating, as most of the metamorphic garnet have <inline-formula><mml:math id="M43" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> (Millonig et al., 2020; O'Sullivan et al., 2023; Bartoli et al., 2024; Shu et al., 2024).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
      <p id="d2e670"><inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> data were acquired in-situ from polished garnet grain mounts and thin sections using a RESOLution 193 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> ArF excimer laser (CompexPro 102) equipped with a two-volume ablation cell (Laurin Technic S155) coupled to a multi-collector (MC)-ICP-MS (Neptune Plus, ThermoScientific) at the Frankfurt Isotope and Element Research Center (FIERCE), Goethe University Frankfurt. The Neptune Plus at FIERCE is equipped with ten Faraday cups and seven ion counters, of which two are classical discrete dynode secondary electron multipliers (SEM) and five compact discrete dynode (CDD) electron multipliers (Fig. 1). This results in two possibilities for the simultaneous detection of the <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> isotopes: (I) for moderate <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> contents of <inline-formula><mml:math id="M51" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.2 to 30 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula> are detected on the Faraday cups with 10<sup>13</sup> <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ω</mml:mi></mml:mrow></mml:math></inline-formula> amplifiers, <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> on the SEM and <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">208</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> on a CDD (method described in Beranoaguirre et al., 2022); while (II) at low <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M61" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.2 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and, if necessary <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">232</mml:mn></mml:msup><mml:mi mathvariant="normal">Th</mml:mi></mml:mrow></mml:math></inline-formula>, can be measured on the CDD attached to the Faraday cups (H4 and H3, respectively). A summary report of the <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating procedure is presented in the Supplement (Table S1), and the analytical results are presented in Tables S2 to S6 in the Supplement.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e902">Plots of <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), showing the analyses rejected and considered for the age calculations. <bold>(a)</bold> Cabo Ortegal demantoid (session 2) and <bold>(b)</bold> garnet G99-2 from Orlica-Śnieżnik felsic granulite. Analytical uncertainties are smaller than the plotting symbols and are therefore not visible.</p></caption>
        <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f02.png"/>

      </fig>

      <p id="d2e950">Ablation was performed in a He atmosphere (0.3 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and mixed in the ablation funnel with daily tuned 0.95–1 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow></mml:math></inline-formula> and 5–10 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mL</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Signal strength at the MC-ICP-MS was tuned for maximum sensitivity while keeping oxide formation below 0.5 % (<inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">UO</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula>) and element fractionation low (e.g. <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Th</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M76" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.9). This was done by line ablating the SRMNIST 614 glass (Jochum et al., 2011) using a 50 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot size, 6 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>, ca. 3.5 <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</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> fluence and a 3 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> line speed. The average sensitivity obtained with this setup was ca. 250 400 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> in the best of the cases. The laser parameters used for instrument tuning are independent of those employed during the analytical sessions, as the purpose of the tuning procedure is solely to optimise ICP-MS operating conditions under a stable signal rather than to reproduce the analytical ablation conditions. The garnet samples were ablated using a round spot size of 193 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and a fluence of ca. 2 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</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> at 15 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>. This yielded a depth penetration of ca. 0.8 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Each analysis consisted of 16 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of background acquisition followed by 18 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of sample ablation and 20 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of washout. The analyses were done in the static mode, measuring <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> with SEMs, and <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">202</mml:mn></mml:msup><mml:mi mathvariant="normal">Hg</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">204</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>, (<inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">208</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> with the CDD and an integration time of 0.131 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (due to electronic issues with the ion counter, <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">208</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> was not measured in all the sessions).</p>
      <p id="d2e1323">In each analytical session, soda-lime glass SRMNIST 614 was used as the primary reference material to correct for mass bias (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), inter-element fractionation and instrumental drift (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). For this purpose, a block of reference materials was analysed every 50 analyses. A low-<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> yellow garnet from the Mali Grandite locality (Seman et al., 2017) was used as the matrix-matched reference material to determine the difference in the <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> fractionation between garnet and the synthetic glass matrix. This crystal is distinct from the published Mali Grandite reference materials and was selected because its <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration (ca. 15–20 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is sufficiently low to avoid saturation of the ion counters, which occurs at approximately 1 000 000 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 1b). Further details are provided below. Lake Jaco garnet (34.0 <inline-formula><mml:math id="M106" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.4 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>, Seman et al., 2017), together with an in-house quality-control garnet from Balochistan (ID-TIMS age of ca. 45.5 <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>; Maria Stifeeva, unpublished data), were analysed to monitor the reproducibility of the analytical procedure. Due to the possible saturation of the ion counters, the secondary garnet crystals were pre-screened to identify domains with sufficiently low-<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (<inline-formula><mml:math id="M110" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Those domains also show lower <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> content, and therefore, the <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios are not affected.</p>
      <p id="d2e1534">Raw data were corrected offline using an in-house VBA spreadsheet program (Gerdes and Zeh, 2006, 2009). Following background and interference corrections, outliers were rejected based on the time-resolved <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios, while the <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> signals were used to identify and reject data derived from the co-ablation of mineral inclusions or zones with clearly distinct common-<inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations compared to the pure garnet. Likewise, outliers in <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and/or <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> content were rejected for age calculations, assuming that those analyses reflect inclusions (Fig. 2). Data are displayed in Tera–Wasserburg plots (Tera and Wasserburg, 1972), and <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dates were calculated as lower Concordia-curve intercepts using the same algorithms as Isoplot 4.15 (Ludwig, 2012). Age uncertainties shown in the Tera–Wasserburg plots are the within-session uncertainty, considering the within-run precision, counting statistic uncertainties of each isotope, and the excess of scatter and of variance (Horstwood et al., 2016), calculated from the SRMNIST 614 and the Mali garnet, and the expanded uncertainty, which includes the long-term variance of our in-house quality control garnet crystals (2 %). All uncertainties are reported at the 2<inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> level.</p>
      <p id="d2e1649">Matrix-matched reference materials (RMs) are an important component of any LA-ICP-MS method (e.g. Schaltegger et al., 2015). With respect to garnet, only a few well-characterised RMs are available to the LA-ICP-MS community in sufficient quantities, although many research groups have developed new RMs over the last few years (e.g. Stifeeva et al., 2019; Salnikova et al., 2019, 2026; Li et al., 2022; Aysal et al., 2023; Beno et al., 2024, Yang et al., 2025). The most popular garnet RMs for <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating are still the ones published by Seman et al. (2017); the red and yellow varieties of Mali Grandite (LA-ICP-MS <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>: 202 <inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>; ID-TIMS <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>: 202.0 <inline-formula><mml:math id="M130" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.2 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>) and the Lake Jaco Grossular (LA-ICP-MS <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>: 35 <inline-formula><mml:math id="M133" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Th</mml:mi><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi mathvariant="normal">He</mml:mi></mml:mrow></mml:math></inline-formula>: 35 <inline-formula><mml:math id="M136" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>). However, <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations of <inline-formula><mml:math id="M139" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of the aforementioned garnet RMs would saturate the ion counters, and thus, they are not usable for the method applied in this study. To overcome this issue, we investigated several low-<inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M142" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) garnet from the same localities investigated by Seman et al. (2017), and we identified a yellow garnet from the Mali Grandite locality with an average <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration of 15–20 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, which was subsequently used as the matrix-matched RM. The secondary reference materials, used for quality control, were compositionally and optically diverse grossular garnet crystals from Lake Jaco, and a dark brown grandite from Balochistan. When assuming the published age of 202 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> for the yellow Mali, we obtained internally consistent results across multiple sequences for the secondary garnet RMs and different samples. Although no independent age estimates (i.e. TIMS ages) are available for our matrix-match and quality control RMs we consider the obtained <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> ages as accurate within their analytical uncertainties, based on the facts that (1) the <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> ages for the various Lake Jaco garnet crystals are within the uncertainty of the published ages from that locality (Seman et al., 2017), and (2) the <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> age of 384 <inline-formula><mml:math id="M150" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> for garnet from sample G99-2 is similar to a <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> age of 387 <inline-formula><mml:math id="M153" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> from that sample (Anczkiewicz et al., 2007; Sect. 3.2). However, we will (re-)calibrate these low-<inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> garnet crystals against well-characterised low-<inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> garnet RMs, once they become available. Furthermore, this potential age ambiguity does not affect the purpose of this contribution.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Samples and results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Cabo Ortegal demantoid (Cabo Ortegal Complex, NW Iberian Massif)</title>
      <p id="d2e1995">The Cabo Ortegal Complex represents an allochthonous assemblage of continental- and oceanic-derived lithologies that record subduction-related metamorphism prior to their emplacement onto the Gondwanan margin during the Variscan orogeny (e.g. Martínez Catalán et al., 2019). Previous geochronological studies of the complex suggest that the magmatic protoliths (520–460 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>) were metamorphosed during the Variscan at ca. 400–390 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> followed by a rapid decompression to shallow crustal levels (Beranoaguirre et al., 2020). The demantoid andraditic garnet analysed here was described in detail by Madon et al. (1991). It occurs associated with chlorite and serpentine in fissures cutting across the foliation of the pyroxenite. Due to these cross-cutting relationships, it is believed that the demantoid-bearing veins postdate even the youngest regional granitoids (ca. 280 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>; Rodríguez et al., 2007).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2024">Tera–Wasserburg diagrams of garnet <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> analyses for Cabo Ortegal demantoid, analysed with the ElementXR single-collector ICP-MS <bold>(a)</bold> and Neptune MC-ICP-MS <bold>(b, c)</bold>, and sample G99-2 from Orlica-Śnieżnik granulite <bold>(d)</bold>.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f03.png"/>

        </fig>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2056">Plot of <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) for all the analysed garnet. The rejected analyses (Fig. 2) are not considered, to avoid scaling issues. Note the difference in the <inline-formula><mml:math id="M164" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis scale for the samples L212 and L02100. In the Kaapvaal samples, <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">208</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> was not measured and therefore, the <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentration is the sum of <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">204</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M168" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M170" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>. Note the discontinuity in the <inline-formula><mml:math id="M172" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis between 5 and 12 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Analytical uncertainties are smaller than the plotting symbols and are therefore not visible.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f04.png"/>

        </fig>

      <p id="d2e2202">The first attempt to date the demantoid garnet crystals was made using a single-collector ICP-MS (the method is described in Millonig et al., 2020 and Beranoaguirre et al., 2022). The resulting data defined a regression line with a lower intercept at 284 <inline-formula><mml:math id="M174" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 65 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M176" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2, Fig. 3a), and only 43 out of 72 analytical spots had <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations above the detection limits. Subsequently, two sessions were performed with the MC-ICP-MS. The resulting lower intercept dates for the sessions were 254.7 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7.9/8.7 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M181" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.19, <inline-formula><mml:math id="M182" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M183" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 47/64, Fig. 3b) and 255.3 <inline-formula><mml:math id="M184" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.8/10.5 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M186" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.37, <inline-formula><mml:math id="M187" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M188" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31/40, Fig. 3c). The regression lines were anchored to a <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratio of 0.870 <inline-formula><mml:math id="M190" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.005, derived from the mean of the unanchored upper intercept of both sessions, providing a consistent baseline for comparison. Most of the analyses have extremely low <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations between 0.5 and 1 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with rare exceptions up to 4 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Figs. 2a and 4; Tables S2 and S3).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Orlica-Śnieżnik felsic granulite (NE Bohemian Massif)</title>
      <p id="d2e2398">The Orlica-Śnieżnik Dome is located on the northeastern margin of the Bohemian Massif in SW Poland. It comprises predominantly amphibolite-facies, partly migmatised, orthogneisses, hosting numerous inclusions of (ultra) high-pressure rocks (e.g. Walczak et al., 2017). Their granitic precursors intruded supracrustal sedimentary successions of Neoproterozoic to Ordovician age and were subsequently metamorphosed during the Variscan orogeny (Szczepański and Ilnicki, 2014).</p>
      <p id="d2e2401">The garnet analysed here corresponds to the felsic granulite G99-2 studied in detail by Anczkiewicz et al. (2007), who obtained garnet <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sm</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Nd</mml:mi></mml:mrow></mml:math></inline-formula> ages of 387 <inline-formula><mml:math id="M196" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> and 320 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. From the <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> analyses performed in our laboratory, an unanchored lower intercept age of 384.0 <inline-formula><mml:math id="M201" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.0/11.5 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSDW <inline-formula><mml:math id="M203" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.52, <inline-formula><mml:math id="M204" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M205" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 46, Fig. 3d) was calculated. The <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> contents are homogeneous, varying between 2 and 4 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and between 0.3 and 3 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Figs. 2b and 4; Table S4 in the Supplement).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Granulite xenoliths from the Star kimberlite (Kaapvaal craton, South Africa)</title>
      <p id="d2e2566">Ultrahigh temperature (UHT) metamorphic crustal granulite xenoliths were found in four kimberlite diatremes from along the central axis of the Witwatersrand basin in the central Kaapvaal craton (Schmitz and Bowring, 2003). The xenoliths are <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>-free, <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow></mml:math></inline-formula>-rich UHT granulites with abundant garnet, sillimanite, rutile, graphite and sulphides, and local occurrence of sapphirine, orthopyroxene, plagioclase and quartz. Metamorphic conditions have been estimated at temperatures above 1050 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and pressures between 0.9–1.2 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">GPa</mml:mi></mml:mrow></mml:math></inline-formula> (Dawson et al., 1997). Zircon and monazite gave <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> ages of approximately 2.7 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ga</mml:mi></mml:mrow></mml:math></inline-formula> (Schmitz and Bowring, 2003). The xenoliths were brought to the surface by Cretaceous kimberlite magmatism at approximately 120 <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2638">Tera–Wasserburg diagrams of garnet <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> analyses for the samples from Kaapvaal craton ST66 and ST70 (<bold>a</bold> and <bold>b</bold>; Shu et al., 2024) and Namaqua–Natal Belt, L02100 and L212 <bold>(c, d)</bold>, respectively.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f05.png"/>

        </fig>

      <p id="d2e2668">The results of these samples have already been published and discussed in detail by Shu et al. (2024). The analyses of the garnet in that publication followed the method described here, and considering that the aim of this work is purely methodological, two examples of those rocks are shown: the one with the lowest <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration (sample ST66) and the one with the highest precision (ST 70). The latter was achieved by anchoring the regression line to a sillimanite crystal analysis, assuming that both minerals are in equilibrium. The samples ST66 and ST70 define regression lines with lower intercepts at 3096 <inline-formula><mml:math id="M219" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 63/70 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M221" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.18, <inline-formula><mml:math id="M222" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M223" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 53/53, Fig. 5a) and 3096 <inline-formula><mml:math id="M224" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 37/48 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.05, <inline-formula><mml:math id="M227" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 53/58, Fig. 5b). As stated above, sample ST66 shows the lowest <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> content among the samples presented in this work, varying from 0.3 to 2.2 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, whereas sample ST70 has a more variable <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> content, between 1 and 17 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> contents are positively correlated. Unfortunately, it was not possible to measure the <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">208</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> isotope, so the calculated <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> content is the sum of <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">204</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M238" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>. The resulting <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations do not exceed 1 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for sample ST66 and 6 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for sample ST70, except in two spots (Fig. 4; Table S5).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Eclogite xenoliths from the Namaqua–Natal Belt (South Africa)</title>
      <p id="d2e2941">Multiple Cretaceous kimberlite pipes occurring on the Proterozoic Namaqua–Natal-Fold Belt, which surrounds the Archean Kaapvaal craton, have brought to the surface a significant amount of high-pressure eclogite, granulite and pyroxenite xenoliths (Le Roex et al., 2020). The eclogites are mainly bimineralic (garnet-clinopyroxene) with accessory rutile and coesite/quartz (and even diamond), although kyanite-bearing eclogites are also described. As for the Kaapvaal craton granulites, we have analysed several samples from different kimberlites of the area, but only two of them are discussed in the present manuscript. Data points from sample L02100 define a regression line with a lower intercept at 102.7 <inline-formula><mml:math id="M245" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.6/3.9 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M247" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.05; <inline-formula><mml:math id="M248" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M249" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 37/41; Fig. 5c), whereas the analyses of sample L212 define a regression line with a lower intercept at 105.5 <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.5/2.9 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> (MSWD <inline-formula><mml:math id="M252" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.92; <inline-formula><mml:math id="M253" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M254" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 34/48; Fig. 5d). Both samples have relatively homogeneous <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> contents of 14–16 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on average. Sample L212 also shows a homogeneous <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> content between 0.5 and 4 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, whereas sample L02100 display a higher variability with up to 14 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 4, Table S6).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Discussion</title>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Bulk uranium content: zircon vs. garnet</title>
      <p id="d2e3102">One of the main strengths of the LA-ICP-MS technique is its high spatial resolution. In contrast with the bulk dating method (TIMS), the laser ablation method only analyses a relatively small volume of the targeted mineral, and therefore, the bulk amount of <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> analysed is limited. Besides, not all the ablated material reaches the detector, and the useful yield for <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M262" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> ions detected/total number of atoms in sample volume for a species of interest, Schaltegger et al., 2015) is variable depending on the utilised instrument.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3130">Illustrative example of an LA-ICP-MS ablation pit produced in garnet (sample L02100) using a 193 <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot size, 15 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> repetition rate, a fluence of <inline-formula><mml:math id="M265" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</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>, and an ablation time of 18 <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. The image was acquired with a Keyence digital microscope. <bold>(a)</bold> Three-dimensional topographic image of the ablated pit. <bold>(b)</bold> Optical image showing the position of the measured depth profile. <bold>(c)</bold> Corresponding depth profile across the pit. The illustrated pit is approximately 8 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> deep; pit depths measured for different garnet typically range from 8 to 22 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, depending on garnet composition.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f06.jpg"/>

        </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e3222">Comparison of <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> content analysed in a single LA-ICP-MS spot analysis for different minerals. Total <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> per spot was calculated from the average <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration of each material and the corresponding ablated mass. Garnet calculations assume a 193 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot diameter, <inline-formula><mml:math id="M274" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> pit depth, a density of 3.9 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and an ablated mass of <inline-formula><mml:math id="M277" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.3 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> per analysis. The GJ-1 zircon calculation assumes a 20 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot diameter, <inline-formula><mml:math id="M280" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> pit depth, a density of 4.65 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, and an ablated mass of <inline-formula><mml:math id="M283" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.012 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>. The table illustrates the extreme reduction in available parent isotope mass when dating low-<inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> metamorphic garnet, with the ST66 granulite analyses containing only <inline-formula><mml:math id="M286" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">fg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> per spot, approximately 3500 times less <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than a typical GJ-1 zircon analysis and up to five orders of magnitude less than high-<inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> skarn garnet.</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="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Material/Sample</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration (<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">Total <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> per spot (<inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">GJ-1 zircon (Jackson et al., 2004)</oasis:entry>
         <oasis:entry colname="col2">287 000</oasis:entry>
         <oasis:entry colname="col3">3.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mali garnet (Seman et al., 2017)</oasis:entry>
         <oasis:entry colname="col2">6000</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M294" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Skarn garnet (Li et al., 2022)</oasis:entry>
         <oasis:entry colname="col2">75 000</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M295" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Metamorphic garnet SS-1 (Millonig et al., 2020)</oasis:entry>
         <oasis:entry colname="col2">90</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M296" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Namaqua–Natal eclogite L212</oasis:entry>
         <oasis:entry colname="col2">14</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M297" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.032</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Orlica–Śnieżnik granulite (G99-2)</oasis:entry>
         <oasis:entry colname="col2">2–4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M298" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.003–0.009</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cabo Ortegal demantoid</oasis:entry>
         <oasis:entry colname="col2">1.3</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M299" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.002</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Kaapvaal granulite ST66</oasis:entry>
         <oasis:entry colname="col2">0.7</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M300" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3626">In the case of this study, the ablation of garnet with a 193 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot size, 15 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M303" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</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 18 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> results in a ca. 15 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> deep ablation pit. The depth is variable depending on the composition of the garnet, typically between 8–22 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Figure 6 shows a representative ablation pit from sample L02100 together with its measured depth profile, and similar pit depth measurements were routinely performed on all analysed samples to estimate the average ablated volume as accurately as possible. Considering an average pit depth of 15 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, each analysis corresponds to a total volume of ca. 600 400 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> or 2.3 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula> of ablated material, assuming a mean garnet density of 3.9 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Table 1). Li et al. (2022) recently reported skarn garnet with up to 75 <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula>. Applying the above calculations, this corresponds to ca. 100 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> per ablated spot, and ca. 8 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and 0.4 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> for a Mali garnet analysis (6 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and 0.3 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>, Seman et al., 2017). However, the metamorphic garnet rarely exceeds <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations of <inline-formula><mml:math id="M319" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Deng et al., 2022). For example, a regional metamorphic garnet with 90 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> (sample SS-1 of Millonig et al., 2020) would yield ca. 0.1 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> per analytical spot. In the present study, sample ST66 has the lowest <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration, with an average concentration of 1.1 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The total <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> ablated during such a spot analysis is ca. 1 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">fg</mml:mi></mml:mrow></mml:math></inline-formula> (femtogram; 10<sup>−15</sup> <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>). This is ca. 3500 times less <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than for a renowned GJ-1 zircon analysis (287 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">U</mml:mi><mml:mi mathvariant="normal">avg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; 26 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">Pb</mml:mi><mml:mi mathvariant="normal">avg</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Jackson et al., 2004), which yields 3.5 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and 0.30 <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> per spot, calculated for a 20 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> spot size, 15 <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> pit depth and ca. 10 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi></mml:mrow></mml:math></inline-formula> of ablated material (considering a zircon density of 4.65 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Table 1).</p>
      <p id="d2e4123">Samples with even lower amounts of <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> could be analysed, if they are older and have higher <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> for the majority of the spots (as well as <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M344" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>), with the exception of the high common-<inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> analyses. As an example, a 200 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> old concordant analysis will have ca. 30 times more <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and ca. 20 times more <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> than <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> (or 600 times more <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>). In turn, a 3 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ga</mml:mi></mml:mrow></mml:math></inline-formula> sample intercepts the Concordia at ca. 1.5 (<inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and 0.25 (<inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), the <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> being only ca. 6 times more abundant than <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>. Hence, for such old samples, it would be possible to date a garnet with even lower <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4366"><inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background (in <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>) at the FIERCE laboratory during a period of ca. one and a half years. The spots show the average <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background for each of the days.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Background level, limit of detection, limit of quantification and analytical precision</title>
      <p id="d2e4414">Such low <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in garnet correspond to a few hundred counts per second (<inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>), and therefore, the background level plays a vital role, especially for <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>, the least abundant of the measured isotopes. Background <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> may come from different sources, such as a memory effect in the tubing, contamination/dirt in gas-line connections, the cones or the laser cell. Although careful cleaning of those parts is effective in reducing their <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> contribution, <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> derived from the <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">He</mml:mi></mml:mrow></mml:math></inline-formula> gas supplies is unavoidable. This contribution varies from day to day (Fig. 7 shows the background level at the FIERCE laboratory observed over one and a half years), and it is a critical factor for the analytical performance. Following the approach proposed by Pettke et al. (2012), the limits of detection for average background signals of 10 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> and 400 <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> are approximately 6 and 30 <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (corresponding to net signals of 2 and 8 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> at the detection limit, considering the aforementioned sensitivity of 250 400 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Although the background intensity differs by a factor of 40 in these examples, the limit of detection increases by only about a factor of 4–5 because the background count rate enters the calculation under the square root. On the contrary, the limit of quantification (Currie, 1995), defined as 10 times the standard deviation of the measured background signal, drastically increases with increasing background intensity. For example, during low-background sessions, the standard deviation of the <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background can be as good as 5–6 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>, corresponding to a limit of quantification of approximately 50–60 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 6). In contrast, during one of the highest-background sessions, the standard deviation is ca. 200 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>, increasing the limit of quantification to 2000 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>. Thus, a high <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background prevents reliable analysis of low <inline-formula><mml:math id="M384" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> samples, as their signal falls below the quantification limit. In practice, samples with ultra-low-<inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and -<inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> garnet are only analysed during sessions in which the <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background remains below 50 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e4667">Relationship between the <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signal intensity and the within-run precision of the <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratio (2 SE, %; blue symbols). Orange symbols indicate the limit of quantification, calculated as 10 times the standard deviation of the measured <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> background signal (Currie, 1995). The black line represents the minimum achievable within-run precision as a function of the <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signal intensity. The pronounced increase in uncertainty below approximately 100 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> (horizontal dashed line) marks the practical analytical limit of the method. A <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signal of approximately 2500 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> (dotted lines) is typically required to achieve a within-run precision of <inline-formula><mml:math id="M396" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 % (2 SE). Analytical uncertainties are smaller than the plotting symbols and are therefore not visible.</p></caption>
          <graphic xlink:href="https://gchron.copernicus.org/articles/8/495/2026/gchron-8-495-2026-f08.png"/>

        </fig>

      <p id="d2e4770">However, even though the <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> can be reliably detected, the precision of each analysis is also crucial. Figure 8 shows the relationship between the <inline-formula><mml:math id="M398" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signal intensity and the within-run precision of the <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratio, over several sequences covering a large range of <inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations. As could be expected from counting statistics, a lower <inline-formula><mml:math id="M401" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signal results in a lower precision. Analyses yielding <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> signals above 2500 <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> commonly achieve uncertainties of less than 1 % (2 SE), whereas signals below 2500 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula> typically result in uncertainties above 1 % (2 SE). Furthermore, as the signal gets closer to the limit of quantification (<inline-formula><mml:math id="M405" display="inline"><mml:mo lspace="0mm">≤</mml:mo></mml:math></inline-formula> 100 <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cps</mml:mi></mml:mrow></mml:math></inline-formula>), there is a strong increase in the uncertainty, which highlights the limit of the technique.</p>
      <p id="d2e4884">Another potential source of uncertainty, although it is not considered in our calculations, is the variance of the <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> decay, or in other words, the statistical uncertainty coming from the decay of a small number of radioactive atoms. In the case of dating high-<inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> minerals, as well as old samples that have been decaying for a long time, such uncertainty can be considered negligible and that is likely why it is not considered in geochronology. However, physicists studying slow decay processes have discussed this phenomenon (e.g. Opendak and Wildenhain, 1994). In the case of low-<inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and young minerals (<inline-formula><mml:math id="M410" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M412" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> old), this incertitude may be of importance and needs to be considered. Nonetheless, young samples with such a low content of <inline-formula><mml:math id="M414" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> are currently not measurable with the analytical setup discussed in this study, as the amount of radiogenic <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> may be below the limit of quantification.</p>
      <p id="d2e4975">In addition to the analytical precision of each individual spot measurement, the precision of <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating for non-concordant minerals like garnet when using a Tera–Wasserburg diagram is also controlled by how accurately the regression line can be defined. This strongly depends on the variability of the <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">238</mml:mn></mml:msup><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> ratios; while samples with high common-<inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> contributions tend to cluster near the upper intercept, a larger spread in these ratios yields a smaller uncertainty on the lower intercept with the Concordia curve and, consequently, a more precise age. The internal precision for the analyses of the Cabo Ortegal demantoid are <inline-formula><mml:math id="M420" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.7 % and <inline-formula><mml:math id="M421" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.3 % for the absolute garnet ages, even with only 40 analytical spots and an extremely low <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentration (mainly below 1 <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. 4). In turn, <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations of 2–4 <inline-formula><mml:math id="M425" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, as for the G99-2 garnet (Orlica-Śnieżnik granulite), significantly improve the precision to ca. <inline-formula><mml:math id="M426" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % absolute age uncertainty. Furthermore, the analyses of sample ST70 resulted in an internal age precision of ca. <inline-formula><mml:math id="M427" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 %. In this case, two factors concurred to result in such precise data: (I) higher <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M429" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> contents and (II) the Archean age of the sample, as older samples benefit the most from the technique due to their more abundant daughter isotopes <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">206</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">207</mml:mn></mml:msup><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula>. However, in samples as young as the Cretaceous Namaqua–Natal belt eclogites, we have obtained precisions of ca. <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % at <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations of ca. 14–16 <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The results obtained for the demantoid in two independent sessions are reproducible within uncertainty. Likewise, the <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> age of the garnet from G99-2, 384 <inline-formula><mml:math id="M436" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12 <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>, is in agreement with the <inline-formula><mml:math id="M438" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> age reported by Anczkiewicz et al. (2007, 387 <inline-formula><mml:math id="M439" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>). Thus, the procedure described in this study produces accurate results within the internal precision of the technique.</p>
</sec>
<sec id="Ch1.S3.SS8">
  <label>3.8</label><title>Applications of the technique</title>
      <p id="d2e5258"><inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating of garnet is becoming a relatively common tool, above all for skarn garnet, as they typically contain several <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> (e.g., Reinhardt et al., 2022). However, the applicability of the technique is rather limited in metamorphic, typically almandine-pyrope, garnet due to their low <inline-formula><mml:math id="M444" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> content (Millonig et al., 2020; Cerva-Alves et al., 2021; Schannor et al., 2021; O'Sullivan et al., 2023; Mark et al., 2023; Peillod et al., 2024; Manzotti et al., 2025), and the common presence of high-<inline-formula><mml:math id="M445" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> mineral inclusions. The method described here allows for the analysis of very low-<inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> garnet, or a reduction in laser spot sizes to avoid inclusions (cf. Walters et al., 2025) and thus has enormous potential to become a routine tool for petro(chrono)logical investigations.</p>
      <p id="d2e5323">Moreover, due to the high closure temperature of the <inline-formula><mml:math id="M447" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> system in garnet (exceeding 1050–1100 <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>; Shu et al., 2024), it appears to be the most reliable method for dating its formation and thus the associated mineral reactions. In many cases, these events cannot be accurately constrained by traditional geochronometers like zircon, apatite, rutile, or monazite due to inherent limitations in such settings. For instance, rutile exhibits relatively low <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> closure temperatures (<inline-formula><mml:math id="M450" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 600 <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, depending on grain size; Cherniak, 2000; Zack and Kooijman, 2017). Similarly, minerals like apatite and monazite are prone to fluid-assisted coupled dissolution–reprecipitation or recrystallisation during subsequent hydrothermal events (e.g., Harlov et al., 2002, 2011; Putnis, 2009). Conversely, highly resilient minerals like zircon frequently retain inherited domains that complicate both their geochronological analysis and geological interpretation (e.g., Rubatto, 2017). Furthermore, if such minerals occur as inclusions within garnet, they may remain shielded from fluid interaction, thereby recording pre-metamorphic ages. Finally, many of these accessory phases are scarce or absent in mafic and ultramafic rocks. The granulite and eclogite xenoliths from the Kaapvaal craton and Namaqua–Natal belt analysed here are good examples, similar to the peridotitic garnet dated by O'Sullivan et al. (2023). Even though scarce rutile has been found in a few samples, the most common mineral assemblage is formed only by garnet and clinopyroxene. In addition, the low <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> content and their small grain sizes do not necessarily make metamorphic rutile a better geochronometer. In this work, we have successfully dated garnet from those geological contexts, despite their very low <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> contents. Larger sample sets of both the Kaapvaal craton granulites and the Namaqua–Natal belt eclogites have been analysed, and the results are reported and discussed in Shu et al. (2024).</p>
      <p id="d2e5394">Likewise, at present, the only possible way to date the hydrothermal garnet-chlorite-serpentine veins crosscutting the pyroxenites at Cabo Ortegal is by <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating of the Cabo Ortegal demantoid. The rock is near-monomineralic garnet, and because the associated chlorite lacks <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Rb</mml:mi></mml:mrow></mml:math></inline-formula>, traditional <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">K</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow></mml:math></inline-formula> or Rb–Sr geochronological techniques cannot be applied. As the garnet occurs in fissures cutting across the foliation of the pyroxenite, and likely the whole complex in depth, ages younger than the plutons of the area were expected (youngest plutons are ca. 280 <inline-formula><mml:math id="M458" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>, Rodriguez et al., 2007). The results of ca. 255 <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> obtained here are similar to the Aia Pluton age in the westernmost Pyrenees (dated to 267 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula>, Denèle et al., 2012). Those authors interpreted the age as reflecting the earliest evidence of an extensive regime that led later to the formation of the Bay of Biscay rift. Thus, the garnet-bearing veins at the Cabo Ortegal Complex may have formed during the same event.</p>
      <p id="d2e5462">The speed of data acquisition provided by laser-ablation techniques also allows for obtaining a large dataset in a short time, in contrast to the more precise acid-digestion-based garnet dating methods (<inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Sm</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Nd</mml:mi></mml:mrow></mml:math></inline-formula>; e.g., Münker et al., 2001; Anczkiewicz and Thirlwall, 2003). This gives the opportunity to investigate a larger number of samples, either with a higher sampling density in a given area of investigation, or by extending the investigation to a much larger area. In some cases, a larger dataset can reveal small-scale metamorphic processes that have been hidden due to sampling bias (including samples not analysed due to the appearance of alteration). For instance, the <inline-formula><mml:math id="M463" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> age of garnet from the NE Bohemian Massif obtained here is within the uncertainty of the <inline-formula><mml:math id="M464" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> age of this sample (Anczkiewicz et al., 2007). Walczak et al. (2017) dated other mesocratic and mafic granulites from the same outcrop sampled by Anczkiewicz et al. (2007) using the same analytical protocols. Their results pointed to a younger event of garnet formation at ca. 345–340 <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Ma</mml:mi></mml:mrow></mml:math></inline-formula> and they attributed this inconsistency to a contribution of inherited <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> in the whole-rock analysis of Anczkiewicz et al. (2007). The in-situ <inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> dating in garnet circumvents the inherited <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> issue as potential inclusions can be avoided by direct petrographic observations (i.e. setting spots in clean domains) or rejecting analysis with distinct <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and/or <inline-formula><mml:math id="M470" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> content (Fig. 2). In any case, the fact that the sample analysed by Walczak et al. (2017) is not exactly the same, may indicate that the geological evolution of the area is more complex (polymetamorphic?) than previously thought.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5576">This study demonstrates that meaningful <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> ages can be obtained by LA-MC-ICP-MS from garnet containing <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> concentrations lower than 1 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The analysis of all <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> isotopes using ion counters, combined with high-sensitivity analytical conditions, permits reliable regression lines to be defined in Tera–Wasserburg space, even for minerals that contain up to 300 400 times less <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> than commonly analysed accessory minerals such as the GJ1 reference zircon.</p>
      <p id="d2e5641">The method yields reproducible and geologically meaningful ages across a wide range of sample ages and compositions. Independent analytical sessions on the Cabo Ortegal demantoid produced indistinguishable ages within uncertainty, while the age obtained for the Orlica–Śnieżnik granulite garnet agrees with previously published <inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Lu</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Hf</mml:mi></mml:mrow></mml:math></inline-formula> data. The precision achieved depends on the <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> concentrations, with internal uncertainties of ca. <inline-formula><mml:math id="M480" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5 %–6 % for garnet containing <inline-formula><mml:math id="M481" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M482" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> and ca. <inline-formula><mml:math id="M483" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 % for samples with higher <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> contents (2–4 <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Moreover, in Archean samples, uncertainties as low as <inline-formula><mml:math id="M486" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 % were achieved, as older samples benefit from their higher radiogenic <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> contents.</p>
      <p id="d2e5755">These results significantly expand the applicability of in-situ garnet <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>–</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology. As most of the metamorphic garnet contain only a few <inline-formula><mml:math id="M489" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ng</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">g</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">U</mml:mi></mml:mrow></mml:math></inline-formula> or less, this analytical approach opens the possibility of dating a much broader range of metamorphic rocks. The methodology described here provides a valuable new tool for petrochronology and for directly constraining the timing of garnet growth, prograde metamorphism, and deep crustal processes. Garnet <inline-formula><mml:math id="M490" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">U</mml:mi><mml:mtext>-</mml:mtext><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow></mml:math></inline-formula> geochronology can be used together with other conventional accessory mineral geochronometers but may be particularly powerful in geological settings where such chronometers are absent, scarce, or unsuitable.</p>
</sec>

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

      <p id="d2e5807">The data presented in this manuscript are available in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5810">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/gchron-8-495-2026-supplement" xlink:title="zip">https://doi.org/10.5194/gchron-8-495-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5819">AB conceptualised the study, obtained funding and carried out the formal analyses. Data curation, validation, and writing were done by all the authors through a continuous discussion process.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5825">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5831">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5837">We would like to thank Sonja Aulbach, Jose Ignacio Gil Ibarguchi, Qiao Shu and Robert Anczkiewicz for sharing the samples analysed in this study. The help of Linda Marko and Alex Schmidt with the day-to-day operation of the instruments makes everything easier. We also sincerely thank one anonymous reviewer, Ariela Mazoz and Martin Hugo Senger for their constructive and insightful reviews, which significantly improved the manuscript. Finally, we thank associate editor Brenhin Keller and handling editor Klaus Mezger for their careful handling of the review process.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5842">This work has been supported by the Deutsche Forschungsgemeinschaft (DFG) project number 521366037, granted to AB. FIERCE is financially supported by the Deutsche Forschungsgemeinschaft (DFG: INST 161/921-1 FUGG, INST 161/923-1 FUGG and INST 161/1073-1 FUGG), and received financial support from the Wilhelm and Else Heraeus Foundation, which is gratefully acknowledged. This is FIERCE contribution no. 253.  This open-access publication was funded  by Goethe University Frankfurt.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5853">This paper was edited by Brenhin Keller and reviewed by Martin Hugo Senger, Ariela Mazoz, and one anonymous referee.</p>
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