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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Nucl. Eng.</journal-id>
<journal-title>Frontiers in Nuclear Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Nucl. Eng.</abbrev-journal-title>
<issn pub-type="epub">2813-3412</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1465080</article-id>
<article-id pub-id-type="doi">10.3389/fnuen.2024.1465080</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Nuclear Engineering</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Insights into the UO<sub>2&#x2b;x</sub>/U<sub>4</sub>O<sub>9</sub> phase characterization in oxidized UO<sub>2</sub> pellets as a function of hyper-stoichiometry</article-title>
<alt-title alt-title-type="left-running-head">Gaillard et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fnuen.2024.1465080">10.3389/fnuen.2024.1465080</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gaillard</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2792970/overview"/>
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<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lotz</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sarrasin</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pipon</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ducher</surname>
<given-names>R.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Moncoffre</surname>
<given-names>N.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>University Lyon</institution>, <institution>University Claude Bernard Lyon 1</institution>, <institution>CNRS/IN2P3</institution>, <institution>IP2I Lyon</institution>, <addr-line>Villeurbanne</addr-line>, <country>France</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>University Lyon</institution>, <institution>University Claude Bernard Lyon 1</institution>, <institution>IUT Lyon-1</institution>, <institution>D&#xe9;partement Chimie</institution>, <addr-line>Lyon</addr-line>, <country>France</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>IRSN</institution>, <institution>LETR&#x2014;BP3</institution>, <addr-line>St-Paul-Lez-Durance Cedex</addr-line>, <country>France</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1503959/overview">Thierry Wiss</ext-link>, Joint Research Centre, Germany</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1949538/overview">Romain Vauchy</ext-link>, Japan Atomic Energy Agency, Japan</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1406338/overview">Lionel Desgranges</ext-link>, Commissariat &#xe0; l&#x2019;Energie Atomique et aux Energies Alternatives (CEA), France</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: C. Gaillard, <email>gaillard@ipnl.in2p3.fr</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>3</volume>
<elocation-id>1465080</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>07</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>09</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Gaillard, Lotz, Sarrasin, Pipon, Ducher and Moncoffre.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Gaillard, Lotz, Sarrasin, Pipon, Ducher and Moncoffre</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>We present new insights into the study of the UO<sub>2&#x2b;x</sub>/U<sub>4</sub>O<sub>9</sub> equilibrium in UO<sub>2</sub> as a function of the hyper-stoichiometry (x) by coupling HERFD-XANES at the uranium M<sub>4</sub>-edge with micro-Raman spectroscopy mapping. XANES allowed the measurement of uranium speciation in the samples, while Raman spectroscopy was used to individually characterize the composition and localization of the different oxide phases. UO<sub>2</sub> pellets were oxidized under dry conditions at temperatures above the UO<sub>2&#x2b;x</sub>/U<sub>4</sub>O<sub>9</sub> phase transition to reach hyper-stoichiometries in the range of 0.01 &#x2264; x &#x2264; 0.1. Combining both techniques, we could determine the proportions of U<sub>4</sub>O<sub>9</sub> and UO<sub>2&#x2b;x</sub>. We show that at a low O/U ratio, U<sub>4</sub>O<sub>9</sub> is present as small clusters inside UO<sub>2</sub> grains. As the O/U increases, we found evidence of the formation of a network of U<sub>4</sub>O<sub>9</sub> crystallized inside the UO<sub>2&#x2b;x</sub> grains. The variation of the UO<sub>2&#x2b;x</sub> phase hyper-stoichiometry (x) was evaluated as a function of the sample oxidation.</p>
</abstract>
<kwd-group>
<kwd>UO<sub>2</sub>
</kwd>
<kwd>oxidation</kwd>
<kwd>U<sub>4</sub>O<sub>9</sub>
</kwd>
<kwd>Raman spectroscopy</kwd>
<kwd>HERFD-XANES</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Nuclear Materials</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Uranium oxide UO<sub>2</sub> is widely studied because of its use as a nuclear fuel in nuclear pressurized water reactor power plants. An important parameter that can affect the fuel&#x2019;s performance is fuel oxidation, which can occur during normal reactor operations in the case of a defective rod or during reactor accident conditions. Under LOCA (LOss of Coolant Accident) conditions, fuel oxidizes due to high temperatures and the steam environment, affecting its thermal properties and the release of fission products (<xref ref-type="bibr" rid="B26">Horlait et al., 2023</xref>; <xref ref-type="bibr" rid="B29">Kudo et al., 2007</xref>; <xref ref-type="bibr" rid="B32">Le Gall et al., 2020</xref>). Understanding oxidation mechanisms and characterizing formed oxide phases are therefore important to evaluate all consequences of this type of accident. Both the kinetics of oxidation and the crystallographic structures of the U&#x2013;O oxide phases (&#x3b1;, &#x3b2;, &#x3b3;- U<sub>4</sub>O<sub>9</sub>, U<sub>3</sub>O<sub>7</sub>, &#x3b1;, &#x3b2;- U<sub>3</sub>O<sub>8</sub>) have been studied extensively (<xref ref-type="bibr" rid="B57">Taylor, 2005</xref>; <xref ref-type="bibr" rid="B44">Mc Eachern and Taylor, 1998</xref>; <xref ref-type="bibr" rid="B49">Rousseau et al., 2006</xref>; <xref ref-type="bibr" rid="B15">Desgranges et al., 2011</xref>; <xref ref-type="bibr" rid="B19">Garrido et al., 2006</xref>; <xref ref-type="bibr" rid="B55">Souli&#xe9; et al., 2019</xref>; <xref ref-type="bibr" rid="B43">Mc Eachern, 1997</xref>). UO<sub>2</sub> has a fluorite structure of Fm-3m. At high temperatures, UO<sub>2</sub> oxidation forms a UO<sub>2&#x2b;x</sub> single phase, where oxygen atoms are incorporated into the fluorite structure in interstitial octahedral sites. At lower temperatures, UO<sub>2&#x2b;x</sub> coexists with &#x3b1;-U<sub>4</sub>O<sub>9</sub> (&#x3d;UO<sub>2.25</sub>). In hyper-stoichiometric compounds, the charge balance is made by the valence change of uranium cations from U<sup>4&#x2b;</sup> to U<sup>5&#x2b;</sup>, while interstitial oxygen atoms are accommodated as Willis clusters involving two oxygen vacancies, two oxygen O&#x2032; atoms, and two O&#x2033; atoms. A further increase in interstitial oxygen atoms leads to a distortion of the unit cell from cubic to tetragonal and ultimately to a monoclinic structure. The formation of U<sub>4</sub>O<sub>9</sub> (and U<sub>3</sub>O<sub>7</sub>) involves a slight volume reduction, while the formation of U<sub>3</sub>O<sub>8</sub> involves a 36% volume increase.</p>
<p>The transition mechanism from UO<sub>2&#x2b;x</sub> to U<sub>4</sub>O<sub>9</sub> has been widely investigated in terms of phase transition, establishing the U&#x2013;O equilibrium phase diagram (<xref ref-type="bibr" rid="B6">Bannister and Buykx, 1974</xref>; <xref ref-type="bibr" rid="B10">Blackburn, 1958</xref>; <xref ref-type="bibr" rid="B21">Gronvold, 1955</xref>; <xref ref-type="bibr" rid="B22">Gu&#xe9;neau et al., 2002</xref>; <xref ref-type="bibr" rid="B25">Higgs et al., 2007</xref>; <xref ref-type="bibr" rid="B27">Ishii et al., 1970</xref>; <xref ref-type="bibr" rid="B36">Lierde et al., 1970</xref>; <xref ref-type="bibr" rid="B41">Matsui and Naito, 1975</xref>). However, few have studied the morphological changes in polycrystalline UO<sub>2</sub> after oxidative treatments. Whillock and Pearce studied the distribution and percentage of U<sub>4</sub>O<sub>9</sub> in oxidized UO<sub>2</sub> (total O/U ratio between 2.05 and 2.12) (<xref ref-type="bibr" rid="B60">Whillock and Pearce, 1990</xref>). They found different types of morphology for U<sub>4</sub>O<sub>9</sub> in UO<sub>2</sub>, from needles to starbursts or massive blocks, as the U<sub>4</sub>O<sub>9</sub> proportion varies from 20% to 40%. Schaner studied the UO<sub>2</sub>&#x2013;U<sub>4</sub>O<sub>9</sub> equilibrium phase diagram between UO<sub>2.006</sub> and UO<sub>2.176</sub> on polycrystalline UO<sub>2</sub> pellets using metallographic techniques (<xref ref-type="bibr" rid="B52">Schaner, 1960</xref>), finding that U<sub>4</sub>O<sub>9</sub> solubility in UO<sub>2&#x2b;x</sub> depends on temperature. In addition, photomicrographs of the sample surfaces taken after different oxidative treatments at 900&#xa0;&#xb0;C show that the U<sub>4</sub>O<sub>9</sub> morphology inside UO<sub>2&#x2b;x</sub> grains depends on the O/U ratio and on the experimental procedure used to cool the samples at ambient temperature (slow temperature decrease or quenching below the phase transition limit).</p>
<p>In this study, we contribute to the study of the UO<sub>2&#x2b;x</sub>/U<sub>4</sub>O<sub>9</sub> equilibrium in UO<sub>2</sub> as a function of hyper-stoichiometry by coupling HERFD-XANES at the uranium M<sub>4</sub>-edge with micro-Raman spectroscopy mapping. XANES allows the measurement of uranium speciation in the samples, while Raman spectroscopy individually characterizes the composition and localization of the different oxide phases in UO<sub>2</sub> pellets. Combining both techniques, we could determine the proportion between U<sub>4</sub>O<sub>9</sub> and UO<sub>2&#x2b;x</sub> and evaluate the variation of the UO<sub>2&#x2b;x</sub> phase stoichiometry (x) as a function of the sample oxidation.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Sample preparation</title>
<p>Depleted UO<sub>2</sub> pellets (diameter 9&#xa0;mm &#xd7; 1.6&#xa0;mm thick) of high bulk density (97.5% of the theoretical density) sintered at 1750&#xa0;&#xb0;C under reducing conditions (Ar/H<sub>2</sub> 5%) for 5&#xa0;h were provided by Framatome. Their average grain size was 11&#xa0;&#x3bc;m, which is comparable to that of the PWR nuclear fuel. The pellets were polished on one side by the PRIMEVerre company (Montpellier, France) with a &#xbc; &#xb5;m diamond paste. The samples were then annealed in a PECKLY<sup>&#xa9;</sup> tubular furnace at 1000&#xa0;&#xb0;C for 10&#xa0;h under vacuum (10<sup>&#x2013;7</sup>&#xa0;mbar) to de-gas adsorbed species on the pellets. Second, annealing at 1600&#xa0;&#xb0;C for 4&#xa0;h in a NABERTHERM<sup>&#xa9;</sup> tubular furnace was performed under a Ar/H<sub>2</sub> 5% gas mixture flowing through ultrahigh capacity oxygen and moisture traps. This thermal treatment allowed annealing of the polishing defects while avoiding UO<sub>2</sub> oxidation.</p>
<p>UO<sub>2</sub> oxidation was performed by thermal annealing under a dry atmosphere using different protocols according to the samples (<xref ref-type="table" rid="T1">Table 1</xref>). Before and after each annealing, the pellets were weighted with a Sartorius &#x3bc;-balance with a &#xb1;2&#xa0;&#x3bc;g accuracy. The O/U ratio was calculated from the mass gain of the samples during annealing, with an error of &#xb1;0.001.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of the sample oxidative treatments.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Sample ID</th>
<th align="center">O/U ratio</th>
<th align="center">Sample oxidative treatment</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">UO<sub>2</sub>
</td>
<td align="center">2.000</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">UO2_ox1_A</td>
<td align="center">2.007</td>
<td align="left">4h&#x2013;1600&#xb0;C &#x2013; Ar/O<sub>2</sub> 5&#xa0;ppm</td>
</tr>
<tr>
<td align="center">UO2_ox1_B</td>
<td align="center">2.010</td>
<td align="left">4&#xa0;h &#x2b; 4h&#x2013;1600&#xb0;C &#x2013; Ar/O<sub>2</sub> 5&#xa0;ppm</td>
</tr>
<tr>
<td align="center">UO2_ox2_BQ</td>
<td align="center">2.010</td>
<td align="left">4&#xa0;h &#x2b; 4h&#x2013;1600&#xb0;C &#x2013; Ar/O<sub>2</sub> 5&#xa0;ppm</td>
</tr>
<tr>
<td align="center">UO2_ox2_AQ</td>
<td align="center">2.010</td>
<td align="left">4&#xa0;h &#x2b; 4h&#x2013;1600&#xb0;C &#x2013; Ar/O<sub>2</sub> 5&#xa0;ppm, quenching at 900&#xa0;&#xb0;C</td>
</tr>
<tr>
<td align="center">UO2_ox3</td>
<td align="center">2.050</td>
<td align="left">15h&#x2013;1600&#xb0;C &#x2013; Ar/O<sub>2</sub> 5&#xa0;ppm</td>
</tr>
<tr>
<td align="center">UO2_ox4</td>
<td align="center">2.100</td>
<td align="left">2h&#x2013;850&#xb0;C &#x2013; Ar/O<sub>2</sub> 100&#xa0;ppm during plateau temperature</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Samples <italic>UO2_ox1_A</italic> and <italic>UO2_ox1_B</italic> correspond to the same initial pellet. For <italic>UO2_ox1_A</italic>, the pellet was annealed in a NABERTHERM<sup>&#xa9;</sup> tubular furnace at 1600&#xa0;&#xb0;C under an Ar/O<sub>2</sub> 5&#xa0;ppm gas flow over 4&#xa0;h, with a ramping of 300&#xb0;/h for heating and cooling. After annealing, the pellet was weighed and analyzed by Raman spectroscopy. It was then oxidized a second time following the same experimental protocol (sample <italic>UO2_ox1_B</italic>) to reach a final O/U ratio of 2.010. The sample <italic>UO2_ox2</italic> was submitted to the same annealing treatment as <italic>UO2_ox1_B</italic> to reach a 2.010 stoichiometry. Then, it was annealed in a steel tubular furnace at 900&#xa0;&#xb0;C for an hour under an Ar/O<sub>2</sub> 5&#xa0;ppm gas flow. According to the O/U phase diagram (<xref ref-type="bibr" rid="B22">Gu&#xe9;neau et al., 2002</xref>; <xref ref-type="bibr" rid="B37">Lindemer and Besmann, 1985</xref>), this annealing condition allows the dissolution of any U<sub>4</sub>O<sub>9</sub> phase that might be present in the sample to form the sole UO<sub>2&#x2b;x</sub> phase. Sample quenching was then performed to keep this UO<sub>2&#x2b;x</sub> phase at an ambient temperature. This rapid sample cooling, from 900&#xa0;&#xb0;C to room temperature, was achieved in 10&#xa0;minutes under the same atmospheric conditions as those during the annealing (Ar/O<sub>2</sub> 5&#xa0;ppm gas flow). After this quenching, no mass variation was detected on the pellet, so we can assume that its final stoichiometry was the same as before quenching (2.010). Sample <italic>UO2_ox3</italic> was prepared by annealing at 1600&#xa0;&#xb0;C under an Ar/O<sub>2</sub> 5&#xa0;ppm gas flow for 15&#xa0;h. Sample <italic>UO2_ox4</italic> was obtained using a SETARAM<sup>&#xa9;</sup> thermobalance. The UO<sub>2</sub> pellet was placed in a quartz boat suspended in an oven. The analyzer was placed in a vacuum for 30&#xa0;min and then filled with a carrier gas to avoid any gaseous pollution. The gases used were He and Ar/O<sub>2</sub> 100&#xa0;ppm, the introduction of O<sub>2</sub> being controlled by an oxygen sensor. In order to reach the O/U ratio &#x3d; 2.10, oxidation was performed at 850&#xa0;&#xb0;C. A ramp of 10&#xb0;C.min<sup>-1</sup> was programmed up to 850&#xa0;&#xb0;C, then plateaued at 850&#xa0;&#xb0;C until the mass gain was reached, and finally the heating was switched off. O<sub>2</sub> was added only during the plateau at 850&#xa0;&#xb0;C, while the increase and decrease in temperature were performed under He. The mass gain was achieved in 3.5&#xa0;h. <xref ref-type="sec" rid="s11">Supplementary Figure S1</xref> displays the mass gain variation with time and temperature; these curves show that the mass gain of the pellet is linear with time at 850&#xa0;&#xb0;C. The change of atmosphere at the end of the plateau combined with the decrease of temperature (approximately 30&#xa0;&#xb0;C/min) probably limited the oxidation to a negligible level during the cooling stage.</p>
</sec>
<sec id="s2-2">
<title>2.2 HERFD-XANES measurements at the U M<sub>4</sub>-edge</title>
<p>High Energy Resolution Fluorescence Detected XANES (HERFD-XANES) data were measured at the MARS beamline of the SOLEIL synchrotron (Saint-Aubin, France) (<xref ref-type="bibr" rid="B54">Sitaud et al., 2012</xref>) on pellets. Spectra were measured at room temperature at the U M<sub>4</sub>-edge (3728&#xa0;eV) using a double-crystal monochromator (DCM) equipped with a pair of Si(111) crystals. Higher harmonic rejection and vertical focusing were achieved using the Si strip of each mirror inserted before and after the DCM with a 4&#xa0;mrad incidence angle. The beam size was 250 &#xd7; 150&#xa0;&#xb5;m. The incident energy was calibrated using the absorption K-edge of potassium of a KBr pellet (3608.4&#xa0;eV). HERFD-XANES was performed using the crystal-analyzer emission spectrometer in the Rowland geometry and a KETEK single-element silicon solid-state detector. The M<sub>&#x3b2;</sub> emission line of U (3339&#xa0;eV) was analyzed using the 220 reflection of an Si (220) bent, diced crystal analyzer with a curvature radius of 1&#xa0;m. The samples were oriented at 45&#xb0; with respect to the incident beam. An He-filled balloon was used to reduce the scattering of the incident and emitted X-rays by the air between the sample and the crystal analyzer and the detector. No evolution of the spectra was observed during measurements under the beam. Collected spectra were normalized using ATHENA software (<xref ref-type="bibr" rid="B48">Ravel and Newville, 2005</xref>). The contributions of U(IV) and U(V) were derived from the linear combination of UO<sub>2</sub> and U<sub>4</sub>O<sub>9</sub> reference spectra.</p>
</sec>
<sec id="s2-3">
<title>2.3 Raman analysis</title>
<p>Raman spectroscopy analyses were performed on a Renishaw Invia Qontor equipped with a 1800&#xa0;gr/mm grating using a He&#x2212;Ne laser (633&#xa0;nm). Mapping was recorded using a &#xd7;50 objective from 200 to 1300&#xa0;cm<sup>&#x2212;1</sup>. Great care was taken to ensure that the laser did not induce any structural modification during the measurements. Starting with low to high laser powers, analyses were repeated on the same point on a pellet surface to optimize our measurement parameters and verify that Raman spectra did not change under the effect of the beam. The incident laser power was thus fixed to 0.9&#xa0;mW. A silicon standard was used to calibrate the spectrometer with its line frequency fixed at 520.5&#xa0;cm<sup>&#x2212;1</sup>. Raman mapping was performed on UO<sub>2</sub> pellets with a spatial resolution of 1 &#xd7; 1&#xa0;&#x3bc;m<sup>2</sup>. Each mapping covered at least ten grains and the depth probed was estimated to be 3&#x2013;5&#xa0;&#xb5;m (<xref ref-type="bibr" rid="B20">Griffiths and Hubbard, 1991</xref>). Data were processed on WIRE 5.4 software.</p>
</sec>
<sec id="s2-4">
<title>2.4 AFM</title>
<p>Atomic force microscopy (AFM) was performed on a NaioAFM microscope (Liestal, Switzerland) fitted with a 190 Al cantilever tip with the following dimensions: length, 225&#xa0;&#x3bc;m; width, 38&#xa0;&#x3bc;m; tip radius, 10&#xa0;nm. The cantilever spring constant was 48&#xa0;N&#xa0;m<sup>&#x2212;1</sup>. Data analysis was performed using Nanosurf, Naio control software in the dynamic mode. The AFM images were recorded in air and at room temperature. Data treatment was performed using Gwyddion software.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Chemical state of uranium in oxidized samples</title>
<p>HERFD-XANES at the U M<sub>4</sub>-edge probes the 5f unoccupied states, and it has been shown to be suitable for differentiating U(V) species from U(IV) and U(VI) (<xref ref-type="bibr" rid="B30">Kvashnina and Butorin, 2022</xref>). Therefore, we used this technique on UO<sub>2</sub> oxidized samples in order to determine the uranium oxidation state. It must be noted that at this edge, the UO<sub>2</sub> pellet is probed only over the first micrometer. <xref ref-type="fig" rid="F1">Figure 1</xref> displays the HERFD-XANES spectrum of a stoichiometric UO<sub>2</sub> compared with spectra of oxidized samples at different O/U ratios. The first peak at 3725.3&#xa0;eV corresponds to U(IV), while the second peak observed at 3726.4&#xa0;eV corresponds to the presence of U(V). This latter peak is thus the signature of hyper-stoichiometry.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>HERFD-XANES spectra at the U M<sub>4</sub>-edge of stoichiometric UO<sub>2</sub> and oxidized UO<sub>2</sub> samples at different O/U (see <xref ref-type="table" rid="T1">Table 1</xref> for sample details).</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g001.tif"/>
</fig>
<p>UO<sub>2</sub> oxidation can lead to the formation of different species: UO<sub>2&#x2b;x</sub>, which is a mixture of U(IV) and U(V); U<sub>4</sub>O<sub>9</sub> composed of 50% U(IV) and 50% U(V); U<sub>3</sub>O<sub>8</sub> containing a mixture of U(V) and U(VI) (<xref ref-type="bibr" rid="B33">Leinders et al., 2020</xref>). We did not consider the latter oxide as we had no evidence of a U(VI) signal, which was further confirmed by Raman analysis (see below). Thus, spectra were fitted by a linear combination of U(IV) and U(V) reference spectra in order to determine the proportion between uranium oxidation degrees. <xref ref-type="table" rid="T2">Table 2</xref> gives these results and the O/U ratio calculated from this proportion. The less oxidized sample <italic>UO2_ox1_B</italic> contained approximately 10% U<sub>4</sub>O<sub>9</sub>. Sample <italic>UO2_ox3</italic> contained 30% U<sub>4</sub>O<sub>9</sub> and a stoichiometry at the surface which was slightly higher than the average obtained by mass gain measurements (O/U &#x3d; 2.08 vs. 2.05). Analysis of the <italic>UO2_ox4</italic> sample showed a noticeable higher hyper-stoichiometry at the extreme surface (2.16) than average (2.10), and the presence of 65% U<sub>4</sub>O<sub>9</sub>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Proportion of U(IV) and U(V) and stoichiometries in UO<sub>2</sub> oxidized samples, obtained by linear fitting of HERFD-XANES spectra using reference compounds UO<sub>2</sub> and U<sub>4</sub>O<sub>9</sub>. The average O/U ratio was obtained by mass gain measurements after oxidation treatments.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Sample ID</th>
<th align="center">Average O/U&#x2a;</th>
<th align="center">% UO<sub>2</sub>
</th>
<th align="center">% U<sub>4</sub>O<sub>9</sub>
</th>
<th align="center">% U(IV)</th>
<th align="center">% U(V)</th>
<th align="center">XANES O/U ratio (&#xb1;0.01) on the first &#xb5;m</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">UO<sub>2</sub>
</td>
<td align="center">2.000</td>
<td align="center">100</td>
<td align="center">0</td>
<td align="center">100</td>
<td align="center">0</td>
<td align="center">2.00</td>
</tr>
<tr>
<td align="center">UO2_ox1_B</td>
<td align="center">2.010</td>
<td align="center">90</td>
<td align="center">10</td>
<td align="center">95</td>
<td align="center">5</td>
<td align="center">2.02</td>
</tr>
<tr>
<td align="center">UO2_ox3</td>
<td align="center">2.050</td>
<td align="center">70</td>
<td align="center">30</td>
<td align="center">85</td>
<td align="center">15</td>
<td align="center">2.08</td>
</tr>
<tr>
<td align="center">UO2_ox4</td>
<td align="center">2.100</td>
<td align="center">35</td>
<td align="center">65</td>
<td align="center">67</td>
<td align="center">33</td>
<td align="center">2.16</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;obtained by mass gain measurements.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Speciation of uranium oxide phases by Raman spectroscopy</title>
<p>Raman spectroscopy was used to identify the different crystallographic phases that may be present in samples after oxidation. Three phases were expected: stoichiometric UO<sub>2</sub>, UO<sub>2&#x2b;x</sub>, and U<sub>4</sub>O<sub>9</sub>. Their respective Raman spectra are shown in <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>, and Raman mappings of stoichiometric UO<sub>2</sub> were published in <xref ref-type="bibr" rid="B18">Gaillard et al. (2024)</xref>. For stoichiometric UO<sub>2</sub>, the most intense band is the T<sub>2g</sub> band located at 444.6&#xa0;cm<sup>&#x2212;1</sup>, typical of the fluorite structure. This triply degenerate mode corresponds to the symmetrical vibration of oxygen atoms around an uranium atom (<xref ref-type="bibr" rid="B28">Keramidas and White, 1973</xref>). The second most intense band located at &#x223c;1150&#xa0;cm<sup>&#x2212;1</sup> corresponds to the 2LO band, an overtone of the first-order LO phonon (<xref ref-type="bibr" rid="B39">Livneh and Sterer, 2006</xref>; <xref ref-type="bibr" rid="B17">Elorrieta et al., 2018</xref>). Recent studies (<xref ref-type="bibr" rid="B18">Gaillard et al., 2024</xref>; <xref ref-type="bibr" rid="B38">Livneh, 2022</xref>) have shown that this band has a second weak contribution at 1196&#xa0;cm<sup>&#x2212;1</sup>; we did not take this into account in this study as it does not give additional information. Indeed, this band has the same behavior as the 1196&#xa0;cm<sup>-1</sup> one upon the formation of U<sub>4</sub>O<sub>9</sub>. Bands of very weak intensities are noticeable between 500 and 700&#xa0;cm<sup>&#x2212;1</sup>. These so-called U bands are correlated with the presence of defects in the UO<sub>2</sub> crystallographic structure and to the formation of domains having a local symmetry lower than that of perfect UO<sub>2</sub> (<xref ref-type="bibr" rid="B23">Guimbreti&#xe8;re et al., 2012</xref>; <xref ref-type="bibr" rid="B53">Simon et al., 2023</xref>). The UO<sub>2&#x2b;x</sub> spectrum is similar in shape to the UO<sub>2</sub> spectrum. A slight blueshift of the T<sub>2g</sub> band is expected as the result of the UO<sub>2</sub> lattice contraction (<xref ref-type="bibr" rid="B56">Spino and Peerani, 2008</xref>; <xref ref-type="bibr" rid="B3">Allen et al., 1982</xref>; <xref ref-type="bibr" rid="B24">He and Shoesmith, 2010</xref>). The insertion of oxygen atoms in the UO<sub>2</sub> fluorite structure entails the presence of defects in the material, which is seen on the Raman spectrum by a slight widening of the T<sub>2g</sub> peak and an increase of the intensity of the U defect bands. Different features are observed on the U<sub>4</sub>O<sub>9</sub> spectrum. A strong decrease of the T<sub>2g</sub> intensity and increase of the U band intensity are observed, while the 2LO band is no longer visible. We also observe a strong width widening of the T<sub>2g</sub> band, which shifts from &#x223c;445&#xa0;cm<sup>&#x2212;1</sup> in UO<sub>2</sub> to &#x223c;454&#xa0;cm<sup>&#x2212;1</sup> in U<sub>4</sub>O<sub>9</sub>.</p>
<p>Thus, strong differences are present between U<sub>4</sub>O<sub>9</sub> and UO<sub>2</sub>/UO<sub>2&#x2b;x</sub> Raman spectra. In particular, the absence/presence of the 2LO band at 1150&#xa0;cm<sup>&#x2212;1</sup> was used to detect the presence of U<sub>4</sub>O<sub>9</sub> in the oxidized pellets. <xref ref-type="table" rid="T3">Table 3</xref> summarizes the T<sub>2g</sub> band position and width measured, respectively, in the UO<sub>2&#x2b;x</sub> and U<sub>4</sub>O<sub>9</sub> phases of each oxidized sample.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Summary of the T<sub>2g</sub> band position and width in UO<sub>2</sub>/UO<sub>2&#x2b;x</sub> and U<sub>4</sub>O<sub>9</sub> phases (BQ &#x3d; before quenching, AQ &#x3d; after quenching, <italic>cf.</italic> part 2.2).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="2" align="center">UO<sub>2</sub> - UO<sub>2&#x2b;x</sub> phase</th>
<th colspan="2" align="center">U<sub>4</sub>O<sub>9</sub> phase</th>
</tr>
<tr>
<th align="left"/>
<th align="center">Position (cm<sup>-1</sup>)</th>
<th align="center">Width (cm<sup>-1</sup>)</th>
<th align="center">Position (cm<sup>-1</sup>)</th>
<th align="center">Width (cm<sup>-1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">UO<sub>2</sub>
</td>
<td align="center">444.6</td>
<td align="center">15.7</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">U<sub>4</sub>O<sub>9</sub>
</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">455</td>
<td align="center">45</td>
</tr>
<tr>
<td align="center">UO2_ox1_A</td>
<td align="center">444.7</td>
<td align="center">15.7</td>
<td align="center">448</td>
<td align="center">27</td>
</tr>
<tr>
<td align="center">UO2_ox1_B</td>
<td align="center">444.7</td>
<td align="center">15.7</td>
<td align="center">449</td>
<td align="center">30</td>
</tr>
<tr>
<td align="center">UO2_ox2 BQ</td>
<td align="center">444.8</td>
<td align="center">15.8</td>
<td align="center">452</td>
<td align="center">40</td>
</tr>
<tr>
<td align="center">UO2_ox2 AQ</td>
<td align="center">444.9</td>
<td align="center">16.2</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="center">UO2_ox3</td>
<td align="center">445.1</td>
<td align="center">15.8</td>
<td align="center">450</td>
<td align="center">30</td>
</tr>
<tr>
<td align="center">UO2_ox4</td>
<td align="center">445.7</td>
<td align="center">16.8</td>
<td align="center">457</td>
<td align="center">45</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-2-1">
<title>3.2.1 UO<sub>2</sub> microstructure at low O/U (&#x2264;2.010)</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> presents Raman mappings of the <italic>UO2_ox1</italic> sample oxidized twice consecutively. The first oxidation (on the left of the figure) led to an O/U ratio of 2.007 (sample <italic>UO2_ox1_A</italic>), while the second oxidation (on the right of the figure) led to a 2.010 stoichiometry (sample <italic>UO2_ox1_B</italic>). For both O/U ratios, the same region was analyzed by Raman spectroscopy in order to study the evolution of the sample surface morphology. On the optical image (<xref ref-type="fig" rid="F2">Figure 2A</xref>), the region analyzed on sample <italic>UO2_ox1_A</italic> is indicated with a red rectangle, while the region analyzed on sample <italic>UO2_ox1_B</italic> corresponds to the whole optical picture. Mappings of the 2LO band intensity are displayed in <xref ref-type="fig" rid="F2">Figures 2B,C</xref>, respectively. For both samples, we observe black areas of micrometric size where the 2LO band intensity is very weak. Raman spectra extracted from one of these regions are presented in <xref ref-type="fig" rid="F3">Figure 3A</xref> for both samples, corresponding to U<sub>4</sub>O<sub>9</sub> species. The 2LO band is visible, although its intensity is weak, probably because the zone probed by the laser also detected a UO<sub>2&#x2b;x</sub> phase. In these U<sub>4</sub>O<sub>9</sub> areas, the T<sub>2g</sub> band position and width values (<xref ref-type="table" rid="T3">Table 3</xref>) are intermediate between those of UO<sub>2</sub> and U<sub>4</sub>O<sub>9</sub>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Raman mapping of the 2LO and T<sub>2g</sub> band intensities at the surface of sample <italic>UO2_ox1</italic> after two oxidations (samples <italic>UO2_ox1_A</italic> on the left and <italic>UO2_ox1_B</italic> on the right). <bold>(A)</bold> Optical picture of the analyzed region; <bold>(B)</bold> and <bold>(C)</bold> Raman mapping of the 2LO band intensity; <bold>(D)</bold> and <bold>(E)</bold> Raman mapping of the T<sub>2g</sub> band intensity. The color scale corresponds to the intensity scale, from the lowest (black) to the highest (red) value. For clarity, grain boundaries visible on the optical picture are represented by white lines on the mapping.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Raman spectra extracted from <italic>UO2_ox1_A</italic> and <italic>UO2_ox1_B</italic> sample mappings (<italic>cf.</italic> <xref ref-type="fig" rid="F2">Figure 2</xref>). <bold>(A)</bold> Individual Raman spectra extracted in U<sub>4</sub>O<sub>9</sub> area (back pixels on the mapping); <bold>(B)</bold> individual Raman spectra extracted in UO<sub>2&#x2b;x</sub> area (green pixels on the mapping). Spectra were normalized on the T<sub>2g</sub> band intensity for comparison.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g003.tif"/>
</fig>
<p>Outside the U<sub>4</sub>O<sub>9</sub> zones, the 2LO band intensity mapping is quite homogeneous at the surface of the samples. Raman spectra extracted from this region, on the same grain for the two samples (<italic>UO2_ox1_A</italic> and <italic>UO2_ox1_B</italic>), are presented in <xref ref-type="fig" rid="F3">Figure 3B</xref> and are identical. For comparison, a spectrum of stoichiometric UO<sub>2</sub> is also shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>. We did not observe significant changes on the T<sub>2g</sub> band (same position and width, see <xref ref-type="table" rid="T3">Table 3</xref>) compared to UO<sub>2</sub>. However, the defect band intensity is noticeably higher than the stoichiometric UO<sub>2</sub> spectrum.</p>
<p>On both samples, the U<sub>4</sub>O<sub>9</sub> phase forms aggregates inside grains, located heterogeneously. Note that no U<sub>4</sub>O<sub>9</sub> aggregates are present in grain boundaries. Comparing the first and second oxidation, U<sub>4</sub>O<sub>9</sub> aggregates have similar shapes, sizes, and locations on samples. This indicates that during the second oxidation, U<sub>4</sub>O<sub>9</sub> clusters formed in the same zones than during the first oxidation. This is noticeable considering the experiment that was performed; during the second oxidation process at 1600&#xa0;&#xb0;C, the U<sub>4</sub>O<sub>9</sub> phases formed in sample <italic>UO2_ox1_A</italic> dissolved and then re-crystallized during the sample cooling. Thus, U<sub>4</sub>O<sub>9</sub> crystallization inside grains is not a random process but is a reversible process that occurs in defined locations inside UO<sub>2</sub> grains. In addition, the U<sub>4</sub>O<sub>9</sub> aggregate size is comparable for both oxidations, probably because the final O/M ratios after the two oxidation treatments are close (2.007 and 2.010).</p>
<p>
<xref ref-type="fig" rid="F2">Figures 2D,E</xref> map the T<sub>2g</sub> band intensity for both oxidized samples. Outside the U<sub>4</sub>O<sub>9</sub> clusters, we observe that this T<sub>2g</sub> intensity depends on grains. This effect is well-known and is due to the dependence of the T<sub>2g</sub> intensity on the different crystalline orientations of UO<sub>2</sub> grains (<xref ref-type="bibr" rid="B47">Morgan et al., 2021</xref>; <xref ref-type="bibr" rid="B40">Maslova et al., 2019</xref>). Thus, the precipitation of U<sub>4</sub>O<sub>9</sub> clusters inside grains does not affect global crystallography within the grain.</p>
<p>We performed AFM mapping on sample <italic>UO2_ox1_B</italic>. Particular interest was given to regions containing the U<sub>4</sub>O<sub>9</sub> phase. <xref ref-type="sec" rid="s11">Supplementary Figure S3A</xref> displays the Raman 2LO band intensity mapping which locates U<sub>4</sub>O<sub>9</sub> zones on the pellet surface. This mapping was used to select two areas, indicated by white squares on <xref ref-type="sec" rid="s11">Supplementary Figure S3A</xref>, where surface mapping was done by AFM. <xref ref-type="sec" rid="s11">Supplementary Figures S3B&#x2013;E</xref> show the 2D and 3D topography images. The color scale, from dark to light brown, indicates the roughness contrast at the surface. U<sub>4</sub>O<sub>9</sub> zones are clearly visible as darker zones, which means that they correspond to lower planes (up to &#x223c;50&#xa0;nm) than UO<sub>2</sub> zones. So we evidence that U<sub>4</sub>O<sub>9</sub> formation entails a measurable local contraction of the lattice inside UO<sub>2</sub> grains, even if the lattice parameter of both oxides only differ slightly: 5.44&#xa0;&#xc5; for U<sub>4</sub>O<sub>9</sub> (<xref ref-type="bibr" rid="B21">Gronvold, 1955</xref>; <xref ref-type="bibr" rid="B2">Allen and Holmes, 1995</xref>; <xref ref-type="bibr" rid="B12">Cooper and Willis, 2004</xref>) and 5.47&#xa0;&#xc5; for UO<sub>2</sub> (<xref ref-type="bibr" rid="B21">Gronvold, 1955</xref>; <xref ref-type="bibr" rid="B14">Desgranges et al., 2009</xref>; <xref ref-type="bibr" rid="B34">Leinders et al., 2015</xref>).</p>
<p>In conclusion, we detected the coexistence of UO<sub>2</sub> and U<sub>4</sub>O<sub>9</sub> phases for low hyper-stoichiometric UO<sub>2</sub>. The latter oxide crystallizes inside UO<sub>2</sub> grains as micrometric clusters entail a local lattice contraction without altering the overall crystallography of the grains.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Effect of quenching on U<sub>4</sub>O<sub>9</sub> formation</title>
<p>Quenching is a rapid cooling process which strongly limits atomic displacements and phase transformation. It permits obtaining at room temperature crystallographic phases formed at high temperature. Therefore, quenching, instead of a slow decrease in temperature, is an effective process for overcoming the precipitation of U<sub>4</sub>O<sub>9</sub> formed during heating treatment (<xref ref-type="bibr" rid="B21">Gronvold, 1955</xref>; <xref ref-type="bibr" rid="B52">Schaner, 1960</xref>; <xref ref-type="bibr" rid="B61">Yao et al., 2018</xref>). Sample <italic>UO2_ox2</italic> was first submitted to an oxidative annealing in order to obtain an O/U &#x3d; 2.010. Then, it was submitted to a second thermal treatment at a temperature that entails the dissolution of the U<sub>4</sub>O<sub>9</sub> phase (900&#xb0;C) followed by quenching. No weight evolution of the pellet was measured before and after the quenching, indicating that the O/U ratio did not change during the experiment.</p>
<p>Raman spectroscopy was used to analyze the sample before and after quenching (<xref ref-type="fig" rid="F4">Figure 4</xref>). Before quenching (<xref ref-type="fig" rid="F4">Figures 4A,C</xref>), Raman mapping of the 2LO band intensity (<xref ref-type="fig" rid="F4">Figure 4C</xref>) evidenced in black the presence of U<sub>4</sub>O<sub>9</sub> clusters, as characterized previously. Interestingly, it is possible to see the shape of the U<sub>4</sub>O<sub>9</sub> region on the optical picture with a weak contrast of color between U<sub>4</sub>O<sub>9</sub> and UO<sub>2</sub> (see white circles). <xref ref-type="fig" rid="F4">Figures 4B and D</xref> present the optical picture and the corresponding 2LO band intensity mapping performed in the same zone after quenching from 900&#xa0;&#xb0;C. We observed the disappearance of the U<sub>4</sub>O<sub>9</sub> aggregates. Thus, the sample is solely composed of a UO<sub>2.01</sub> phase.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Effect of quenching on the 2LO band intensity Raman mapping of sample <italic>UO2_ox2</italic>. <bold>(A)</bold> Optical picture of the analyzed zone before and <bold>(B)</bold> after quenching; <bold>(C)</bold> and <bold>(D)</bold> Raman mapping of the 2LO intensity before <bold>(C)</bold> and after quenching <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g004.tif"/>
</fig>
<p>As observed previously for sample <italic>UO2_ox1</italic>, the Raman mapping exhibited two vibrational signatures, U<sub>4</sub>O<sub>9</sub> and UO<sub>2&#x2b;x</sub>, before quenching. After quenching, only the UO<sub>2&#x2b;x</sub> vibrational signature is present. <xref ref-type="fig" rid="F5">Figure 5</xref> presents the average spectra of UO<sub>2&#x2b;x</sub> zones on the Raman mapping before (mapping without U<sub>4</sub>O<sub>9</sub> areas) and after (whole mapping) quenching. Their shapes are identical except for a strong increase of defect band intensity after quenching. This can be explained by the dissolution of U<sub>4</sub>O<sub>9</sub> aggregates at 900&#xa0;&#xb0;C and the incorporation of oxygen atoms in the UO<sub>2&#x2b;x</sub> lattice which increases defect concentration. This phenomenon is also visible by the slight widening of the T<sub>2g</sub> band from 15.8 to 16.2&#xa0;cm<sup>&#x2212;1</sup> and a slight but significant shift in the T<sub>2g</sub> band position (<italic>cf.</italic> <xref ref-type="table" rid="T3">Table 3</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Effect of quenching on the Raman spectra of sample <italic>UO2_ox2</italic>. Average spectra of UO<sub>2&#x2b;x</sub> zones on the Raman mapping before quenching (red); average spectrum of the mapping after quenching (blue). For comparison, spectra are normalized to the T<sub>2g</sub> band intensity.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g005.tif"/>
</fig>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Oxidized UO<sub>2</sub> microstructure for O/U &#x3d; 2.050</title>
<p>Raman mapping of the sample <italic>UO2_ox3</italic> is presented in <xref ref-type="fig" rid="F6">Figure 6</xref>. According to mass gain measurements, this sample has an average hyper-stoichiometry of 2.05, while HERFD-XANES analysis shows that its hyper-stoichiometry in the first micrometer is slightly higher at 2.08. This corresponds to the presence of approximately 30% of U<sub>4</sub>O<sub>9</sub> in the sample, confirmed by the Raman analysis. Indeed, the 2LO band mapping intensity (<xref ref-type="fig" rid="F6">Figure 6B</xref>) highlights numerous dark spots distributed over the sample surface, which correspond mainly to U<sub>4</sub>O<sub>9</sub>, as is shown on the Raman spectrum extracted from one of the black pixels (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). In this sample, U<sub>4</sub>O<sub>9</sub> does not form big clusters inside grains, as shown previously for lower stoichiometric samples, but is present in a rather homogeneous distribution as very small clusters inside grains (<italic>cf.</italic> <xref ref-type="fig" rid="F6">Figure 6B</xref>). <xref ref-type="sec" rid="s11">Supplementary Figure S3</xref> also presents a spectrum extracted from a green pixel of the mapping; it is typical of a UO<sub>2&#x2b;x</sub> phase and exhibits a shift of the T<sub>2g</sub> band to 445.1&#xa0;cm<sup>&#x2212;1</sup>. It is interesting to note that these UO<sub>2&#x2b;x</sub> zones correspond mainly to grain boundaries, where little U<sub>4</sub>O<sub>9</sub> is detected. Grains are slightly visible on the Raman mapping of the T<sub>2g</sub> band intensity (<xref ref-type="fig" rid="F6">Figure 6C</xref>). So, despite the presence of about 30% of U<sub>4</sub>O<sub>9</sub>, the grain crystalline orientation is somehow maintained, and the fluorite structure remains present.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Raman mapping of sample <italic>UO2_ox3</italic>. <bold>(A)</bold> Optical picture of the analyzed zone; <bold>(B)</bold> 2LO band intensity mapping; <bold>(C)</bold> T<sub>2g</sub> band intensity mapping.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g006.tif"/>
</fig>
</sec>
<sec id="s3-2-4">
<title>3.2.4 Oxidized UO<sub>2</sub> microstructure for O/U &#x3d; 2.10</title>
<p>Sample <italic>UO2_ox4</italic> was prepared with a final hyper-stoichiometry of 2.10, following the protocol explained in experimental <xref ref-type="sec" rid="s2-2">Section (2.2)</xref>. HERFD-XANES analysis shows that it contains approximately 65% U<sub>4</sub>O<sub>9</sub> on the first micrometer, resulting in a hyper-stoichiometry of 2.16. Its Raman mapping is presented in <xref ref-type="fig" rid="F7">Figure 7</xref>. The 2LO band intensity mapping displays dark areas distributed as a zebra pattern on the sample surface. We did not observe any difference between grain and grain boundaries. As shown in <xref ref-type="fig" rid="F8">Figure 8</xref>, these dark areas correspond to pure U<sub>4</sub>O<sub>9</sub>. Elsewhere on the pellet, Raman spectra show the presence of UO<sub>2&#x2b;x</sub>. A spectrum extracted on a green pixel of the mapping is shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. A noticeable shift of the T<sub>2g</sub> band position in the UO<sub>2&#x2b;x</sub> area measures 445.7&#xa0;cm<sup>&#x2212;1</sup>, larger than that measured at x &#x3d; 2.05. Thus, as global hyper-stoichiometry increases, the proportion of U<sub>4</sub>O<sub>9</sub> and the hyper-stoichiometry of the UO<sub>2&#x2b;x</sub> phase increase. The T<sub>2g</sub> band intensity mapping is displayed in <xref ref-type="fig" rid="F8">Figure 8C</xref>. Despite the large U<sub>4</sub>O<sub>9</sub> concentration, it is still possible to distinguish the contrast between grains in the UO<sub>2&#x2b;x</sub> phase. So, as observed at lower hyper-stoichiometries, the UO<sub>2</sub> lattice is maintained despite the growth of the U<sub>4</sub>O<sub>9</sub> phase.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Raman mappings of sample <italic>UO2_ox4</italic>. <bold>(A)</bold> Optical picture of the analyzed zone; <bold>(B)</bold> 2LO band intensity mapping; <bold>(C)</bold> T<sub>2g</sub> band intensity mapping.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Raman spectra extracted on the mapping of sample <italic>UO2_ox4</italic> in U<sub>4</sub>O<sub>9</sub> clusters (black pixel on the mapping) and in UO<sub>2&#x2b;x</sub> zone (green pixel on the mapping). Spectra are normalized to the T<sub>2g</sub> band intensity.</p>
</caption>
<graphic xlink:href="fnuen-03-1465080-g008.tif"/>
</fig>
</sec>
<sec id="s3-2-5">
<title>3.2.5 UO<sub>2&#x2b;x</sub> phase composition as a function of the sample hyper-stoichiometry</title>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> summarizes the T<sub>2g</sub> band position measured in UO<sub>2&#x2b;x</sub> phase of oxidized samples, and we observe that this position shifts with the global hyper-stoichiometry of samples. Thanks to these measurements, it is possible to evaluate the O/M ratio specifically in UO<sub>2&#x2b;x</sub> phases of our samples. Indeed, the increase of hyper-stoichiometry entails a contraction of the fluorite lattice parameter (<xref ref-type="bibr" rid="B21">Gronvold, 1955</xref>). This effect has a direct impact on the T<sub>2g</sub> band position, which is expected to shift to higher frequencies according to the <xref ref-type="disp-formula" rid="e1">Equation 1</xref> (<xref ref-type="bibr" rid="B42">McBride et al., 1994</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3</mml:mn>
<mml:mi>&#x3b3;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where &#x3b3; is the Gruneisen parameter (2.17 for UO<sub>2</sub>), &#x3c9; is the T<sub>2g</sub> position for stoichiometric UO<sub>2</sub>, and &#x394;a is the variation of the lattice parameter compared to the UO<sub>2</sub> one (a<sub>0</sub>).</p>
<p>Therefore, knowing the T<sub>2g</sub> band position shift from pristine UO<sub>2</sub> (&#x394;T<sub>2g</sub>), it is possible to determine the corresponding variation of the lattice parameter (&#x394;a) (<xref ref-type="bibr" rid="B45">Medyk et al., 2020</xref>), and thus to evaluate the O/M ratio in the UO<sub>2&#x2b;x</sub> phase. Indeed, the variation of the UO<sub>2&#x2b;x</sub> lattice parameter as a function of x has been widely reported in the literature (<xref ref-type="bibr" rid="B56">Spino and Peerani, 2008</xref>). Results are given in <xref ref-type="table" rid="T4">Table 4</xref>, where they are compared with the O/U ratio calculated for the whole pellet from mass gain after oxidative treatments. For low oxidized samples <italic>UO2_ox1</italic> and <italic>UO2_ox2_BQ</italic>, the T<sub>2g</sub> band shift measured in the UO<sub>2&#x2b;x</sub> phase inside grains is uncertain; the corresponding O/U is actually close to 2. This means that in these samples, most additional oxygen atoms have formed the U<sub>4</sub>O<sub>9</sub> phase while the UO<sub>2&#x2b;x</sub> phase is stoichiometric or nearly so. In sample <italic>UO2_ox2_AQ</italic> formed by a sole UO<sub>2&#x2b;x</sub> phase, the O/U value obtained by Raman measurement is in line with that obtained by mass gain measurement: &#x223c;2.01. For samples <italic>UO2_ox3</italic> and <italic>UO2_ox4</italic>, O/U ratios of the UO<sub>2&#x2b;x</sub> phase increase with the global hyper-stoichiometry of the samples (respectively 2.010 and 2.023) and correspond roughly to 20% of the global O/U ratio.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Calculation of lattice parameters A and O/U ratio in the UO<sub>2&#x2b;x</sub> phase of analyzed samples, from the T<sub>2g</sub> band shift &#x394;T<sub>2g</sub>. For comparison, O/U ratios obtained by mass gain are given.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="3" align="center">UO<sub>2&#x2b;x</sub> phase</th>
<th align="center">Average in the sample</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Sample ID</td>
<td align="center">&#x394;T<sub>2g</sub> (cm<sup>-1</sup>)</td>
<td align="center">Calculated A (&#xc5;)</td>
<td align="center">Calculated O/U</td>
<td align="center">O/U from mass gain</td>
</tr>
<tr>
<td align="center">UO2</td>
<td align="center">0</td>
<td align="center">5.4703</td>
<td align="center">2.000</td>
<td align="center">2.00</td>
</tr>
<tr>
<td align="center">UO2_ox1_A</td>
<td align="center">0.1</td>
<td align="center">5.4701</td>
<td align="center">2.002</td>
<td align="center">2.007</td>
</tr>
<tr>
<td align="center">UO2_ox1_B</td>
<td align="center">0.1</td>
<td align="center">5.4701</td>
<td align="center">2.002</td>
<td align="center">2.01</td>
</tr>
<tr>
<td align="center">UO2_ox2 BQ</td>
<td align="center">0.2</td>
<td align="center">5.4699</td>
<td align="center">2.004</td>
<td align="center">2.01</td>
</tr>
<tr>
<td align="center">UO2_ox2 AQ</td>
<td align="center">0.3</td>
<td align="center">5.4697</td>
<td align="center">2.007</td>
<td align="center">2.01</td>
</tr>
<tr>
<td align="center">UO2_ox3</td>
<td align="center">0.5</td>
<td align="center">5.4693</td>
<td align="center">2.010</td>
<td align="center">2.05</td>
</tr>
<tr>
<td align="center">UO2_ox4</td>
<td align="center">1.1</td>
<td align="center">5.4682</td>
<td align="center">2.023</td>
<td align="center">2.10</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>Our study consisted of oxidizing UO<sub>2</sub> pellets, initially stoichiometric, to hyper-stoichiometries up to 2.1. As expected from the U&#x2013;O phase diagram, we characterized two crystallographic phases, UO<sub>2&#x2b;x</sub> and U<sub>4</sub>O<sub>9</sub>, by coupling HERFD-XANES and Raman spectroscopy measurements at room temperature. A significant discrepancy is observed between the calculated O/U ratios from XANES measurements and that obtained from the mass gain of samples for the most oxidized sample at 2.1. Indeed, the hyper-stoichiometry is higher at the extreme surface of the sample (XANES probes the first micrometer) than expected. Contrary to other samples, its thermal treatment was performed at 850&#xa0;&#xb0;C, not at 1600&#xa0;&#xb0;C. At the latter, the oxygen diffusion coefficient (D) in stoichiometric polycrystalline UO<sub>2</sub> pellets is in the order of 10<sup>&#x2212;6</sup>&#xa0;cm<sup>2</sup>/s (<xref ref-type="bibr" rid="B51">Sabioni et al., 2000</xref>). Therefore, a constant repartition of oxygen over the whole pellet depth is obtained after a 4-h annealing, and the hyper-stoichiometry can be considered as constant inside the sample. This may not be the case at 850&#xa0;&#xb0;C for a 3.5&#xa0;h annealing. The oxygen diffusion coefficient is significantly lower at this temperature, in the order of 10<sup>&#x2212;11</sup>&#x2013;10<sup>&#x2212;12</sup>&#xa0;cm<sup>2</sup>/s (<xref ref-type="bibr" rid="B51">Sabioni et al., 2000</xref>; <xref ref-type="bibr" rid="B16">Dorado et al., 2011</xref>; <xref ref-type="bibr" rid="B8">Berthinier et al., 2013</xref>). This corresponds to a diffusion of oxygen over the first &#x223c;20&#xa0;&#xb5;m in sample <italic>UO2_ox4</italic>. However, it is known that the increase of UO<sub>2</sub> stoichiometry entails a significant increase of oxygen diffusion. Large discrepancies exist in the literature concerning oxygen diffusion coefficients in UO<sub>2&#x2b;x</sub>, probably because of the different experimental protocols used to make D measurements (<xref ref-type="bibr" rid="B9">Bittel et al., 1969</xref>; <xref ref-type="bibr" rid="B7">Bayoglu and Loreznzelli, 1984</xref>; <xref ref-type="bibr" rid="B31">Lay, 1970</xref>; <xref ref-type="bibr" rid="B50">Ruello et al., 2004</xref>). According to those data, the oxygen diffusion coefficient may range from 10<sup>&#x2212;8</sup> to 10<sup>&#x2212;13</sup>&#xa0;cm<sup>2</sup>/s at 850&#xa0;&#xb0;C. Therefore, it is difficult to precisely evaluate the diffusion depth of oxygen in sample <italic>UO2_ox4</italic>. It is expected to be above 20&#xa0;&#xb5;m but may not be large enough to assure a constant repartition of oxygen over the whole depth. This question will be addressed in further research by the characterization of pellet cross-sections.</p>
<p>Some have noticed preferential oxidation as a function of the grain orientation, based on work on UO<sub>2</sub> single-crystals (<xref ref-type="bibr" rid="B4">Allen et al., 1988a</xref>; <xref ref-type="bibr" rid="B5">Allen et al., 1988b</xref>). We did not observe this phenomenon, as the amount of U<sub>4</sub>O<sub>9</sub> was homogeneous at the pellet surface whatever the O/U. However, the experimental conditions used by Allen (300&#xa0;&#xb0;C, 1 torr of O<sub>2</sub>) significantly differ from ours and led to the formation of upper oxides (U<sub>3</sub>O<sub>7</sub> and U<sub>3</sub>O<sub>8</sub>) not observed in our work. This also highlights the effect of the oxidative conditions on the nature of the oxides formed. In our study, oxidative annealing treatments were performed at 1600&#xa0;&#xb0;C or 850&#xa0;&#xb0;C&#x2014;temperatures where the sole existing phase is UO<sub>2&#x2b;x</sub>. The crystallographic phases we further characterized at room temperature are those &#x201c;allowed&#x201d; to form during the sample cooling&#x2014;UO<sub>2&#x2b;x</sub> and U<sub>4</sub>O<sub>9</sub> according to the U&#x2013;O phase diagram. When oxidation treatments are performed at lower temperature and under stronger oxidative conditions such as air, a prompt conversion of U<sub>4</sub>O<sub>9</sub> into U<sub>3</sub>O<sub>7</sub> and eventually U<sub>3</sub>O<sub>8</sub> is observed (<xref ref-type="bibr" rid="B13">De Bona et al., 2022</xref>; <xref ref-type="bibr" rid="B46">Milena-Perez et al., 2023</xref>; <xref ref-type="bibr" rid="B58">Teixeira and Imakuma, 1991</xref>).</p>
<p>Thanks to the analysis of Raman mapping, we could evaluate the composition of the UO<sub>2&#x2b;x</sub> phases as a function of the global O/U ratio of samples, while XANES could help evaluate the proportion of U<sub>4</sub>O<sub>9</sub> inside samples. At low O/U (&#x223c;0.01), the UO<sub>2&#x2b;x</sub> phase can be considered stoichiometric, which means that samples are composed of UO<sub>2</sub> and &#x223c;10% of U<sub>4</sub>O<sub>9</sub>. For O/U &#x2265; 2.05, samples are composed of U<sub>4</sub>O<sub>9</sub> and of a UO<sub>2&#x2b;x</sub> phase whose hyper-stoichiometry increases with the global O/U ratio. For O/U &#x3d; 2.05, samples are composed of &#x223c;70% of UO<sub>2.01</sub> and &#x223c;30% of U<sub>4</sub>O<sub>9</sub>, while at O/U &#x3d; 2.1, they are composed of &#x223c;65% U<sub>4</sub>O<sub>9</sub> and 35% UO<sub>2.02</sub>. We thus observe that UO<sub>2&#x2b;x</sub> phases display quite low O/M ratios, even for high global hyper-stoichiometries.</p>
<p>We could detect the U<sub>4</sub>O<sub>9</sub> growth mechanism inside grains. At low hyper-stoichiometry (2.01), U<sub>4</sub>O<sub>9</sub> is present as micrometric clusters inside stoichiometric UO<sub>2</sub> grains. These clusters were formed during the slow cooling of our sample from a homogeneous UO<sub>2&#x2b;x</sub> phase. Such clusters were evidenced by <xref ref-type="bibr" rid="B1">Allen et al. (1983)</xref> but for highly oxidized UO<sub>2</sub> pellets at O/U &#x3d; 2.24. As the hyper-stoichiometry increases to O/U &#x3d; 2.1, these clusters coalesce to form a U<sub>4</sub>O<sub>9</sub> network at the surface of the material. This kind of microstructure can be compared to those reported by previous research, showing that the precipitation of U<sub>4</sub>O<sub>9</sub> in UO<sub>2&#x2b;x</sub> leads to a Widmanst&#xe4;tten needle structure or the formation of platelets (<xref ref-type="bibr" rid="B59">Tuxworth and Evans, 1959</xref>) (<xref ref-type="bibr" rid="B36">Lierde et al., 1970</xref>; <xref ref-type="bibr" rid="B60">Whillock and Pearce, 1990</xref>; <xref ref-type="bibr" rid="B52">Schaner, 1960</xref>). The formation of U<sub>4</sub>O<sub>9</sub> entails a local lattice contraction inside grains, evidenced by AFM, but without affecting the surrounding UO<sub>2</sub> matrix. Even for high hyper-stoichiometry (x &#x3e; 2.1) where U<sub>4</sub>O<sub>9</sub> is the main crystallographic phase, the UO<sub>2</sub> lattice is preserved and, consequently, we always observe a joint presence of two crystallographic phases. This is comparable with observations made by <xref ref-type="bibr" rid="B1">Allen et al. (1983)</xref> on UO<sub>2</sub> pellets and <xref ref-type="bibr" rid="B35">Leinders et al. (2016)</xref> on UO<sub>2</sub> nanopowders. We also show by twice oxidizing a UO<sub>2</sub> sample at high temperature (1600&#xa0;&#xb0;C) that U<sub>4</sub>O<sub>9</sub> clustering inside UO<sub>2</sub> grains is not a random process and that it occurs in defined zones inside grains. One may link this fact with the presence of defects in grains that may constitute nucleation sites. The precipitation of U<sub>4</sub>O<sub>9</sub> in UO<sub>2&#x2b;x</sub> occurs by the agglomeration of oxygen atoms that produces defects. For this reason, some authors consider that the interface between UO<sub>2&#x2b;x</sub> and U<sub>4</sub>O<sub>9</sub> is equivalent to dislocations (<xref ref-type="bibr" rid="B11">Chevrel, 1992</xref>). One may envision that after the re-dissolution of U<sub>4</sub>O<sub>9</sub>, dislocations remain and, during the second oxidation annealing, favor the recrystallization of U<sub>4</sub>O<sub>9</sub> in the same zone of grains. We have also observed that the formation of U<sub>4</sub>O<sub>9</sub> occurs only inside grains, not in grain boundaries. The latter contain a high concentration of defects like dislocations that entail a lower crystallinity and, probably, tensile strains that may entail the clustering of U<sub>4</sub>O<sub>9</sub>.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>We studied the UO<sub>2&#x2b;x</sub>/U<sub>4</sub>O<sub>9</sub> phase equilibrium in UO<sub>2</sub> in the hyper-stoichiometry range 0.01 &#x3c; &#xd7; &#x3c; 0.1 after thermal oxidation treatments performed under dry conditions at 850&#xa0;&#xb0;C or 1600&#xa0;&#xb0;C. By coupling HERFD-XANES at the uranium M<sub>4</sub>-edge and micro-Raman spectroscopy mapping, we could determine the proportion between each phase and their composition.</p>
<p>At low O/U, U<sub>4</sub>O<sub>9</sub> is present as small clusters inside UO<sub>2</sub> grains. Their formation, occurring during the slow cooling of our samples, does not occur in a random area of grains. Indeed, we show by twice repeating the annealing/cooling process that the U<sub>4</sub>O<sub>9</sub> cluster size and location are identical. The presence of U<sub>4</sub>O<sub>9</sub> entails a local contraction of the lattice, measurable by AFM, which does not affect the global structure of grains, even at a high U<sub>4</sub>O<sub>9</sub> concentration.</p>
<p>As the O/U increases, the proportion of U<sub>4</sub>O<sub>9</sub> and the UO<sub>2&#x2b;x</sub> phase hyper-stoichiometry increase, leading to the formation of a network of U<sub>4</sub>O<sub>9</sub> crystallized inside UO<sub>2&#x2b;x</sub> grains. However, even for highly oxidized samples, we observed that the UO<sub>2&#x2b;x</sub> phases exhibit only a slight O/M, meaning that during the slow cooling process, most of the additional oxygen atoms are incorporated as U<sub>4</sub>O<sub>9</sub> in the samples.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>CG: conceptualization, formal analysis, funding acquisition, investigation, project administration, supervision, and writing&#x2013;original draft. HL: formal analysis, investigation, and writing&#x2013;original draft. LS: formal analysis, investigation, and writing&#x2013;original draft. YP: funding acquisition and writing&#x2013;review and editing. RD: funding acquisition and writing&#x2013;review and editing. NM: funding acquisition and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. The authors acknowledge the support of the French Agence Nationale de la Recherche (ANR) under grant ANR-21-CE05-0035 (project BENEFICIA).</p>
</sec>
<ack>
<p>We acknowledge S. Forel (LMI, UCBL, France) for her assistance using AFM, and M. Pijolat, V. P&#xe9;res, and L. Vieille (Mines St Etienne, France) for the TGA experiments. The authors would also like to thank R. Fillol (IP2I) for his helpful technical contribution. We acknowledge SOLEIL for the provision of synchrotron radiation facilities, and we would like to thank M. Hunault and P-L. Solari for assistance in using beamline MARS.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fnuen.2024.1465080/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fnuen.2024.1465080/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Allen</surname>
<given-names>G. C.</given-names>
</name>
<name>
<surname>Buswell</surname>
<given-names>J. T.</given-names>
</name>
<name>
<surname>Tempest</surname>
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