<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-01091838</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-19T17:34:24+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Free energy of BaTiO3 single crystal</title>
            <author role="aut">
              <persName>
                <forename type="first">Raphaël</forename>
                <surname>Renoud</surname>
              </persName>
              <email type="md5">ac6a3428a94f7d234547e35f2a4c07db</email>
              <email type="domain">univ-nantes.fr</email>
              <idno type="idhal" notation="string">raphael-renoud</idno>
              <idno type="idhal" notation="numeric">740259</idno>
              <idno type="halauthorid" notation="string">16352-740259</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-4339-5423</idno>
              <idno type="IDREF">https://www.idref.fr/067156568</idno>
              <affiliation ref="#struct-185974"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Mostafa</forename>
                <surname>Ragheb</surname>
              </persName>
              <idno type="halauthorid">802598-0</idno>
              <affiliation ref="#struct-185974"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Caroline</forename>
                <surname>Borderon</surname>
              </persName>
              <email type="md5">e1979915daddc4d4780b258e4428ecc0</email>
              <email type="domain">univ-nantes.fr</email>
              <idno type="idhal" notation="string">caroline-borderon</idno>
              <idno type="idhal" notation="numeric">182532</idno>
              <idno type="halauthorid" notation="string">32873-182532</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-7126-9088</idno>
              <idno type="IDREF">https://www.idref.fr/134189337</idno>
              <affiliation ref="#struct-185974"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Hartmut</forename>
                <surname>Gundel</surname>
              </persName>
              <email type="md5">c7d15fdf493aad31b656268af1210780</email>
              <email type="domain">univ-nantes.fr</email>
              <idno type="idhal" notation="numeric">918203</idno>
              <idno type="halauthorid" notation="string">611610-918203</idno>
              <affiliation ref="#struct-185974"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Gilles</forename>
                <surname>Damamme</surname>
              </persName>
              <email type="md5">f6096f57df536f7acd40913306a9c6f4</email>
              <email type="domain">CEA.fr</email>
              <idno type="idhal" notation="numeric">874435</idno>
              <idno type="halauthorid" notation="string">151244-874435</idno>
              <affiliation ref="#struct-197470"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Raphaël</forename>
                <surname>Renoud</surname>
              </persName>
              <email type="md5">ac6a3428a94f7d234547e35f2a4c07db</email>
              <email type="domain">univ-nantes.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2014-12-07 08:29:25</date>
              <date type="whenModified">2024-09-03 11:16:36</date>
              <date type="whenReleased">2014-12-07 08:29:25</date>
              <date type="whenProduced">2013-07-21</date>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="192206">
                <persName>
                  <forename>Raphaël</forename>
                  <surname>Renoud</surname>
                </persName>
                <email type="md5">ac6a3428a94f7d234547e35f2a4c07db</email>
                <email type="domain">univ-nantes.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-01091838</idno>
            <idno type="halUri">https://hal.science/hal-01091838</idno>
            <idno type="halBibtex">renoud:hal-01091838</idno>
            <idno type="halRefHtml">&lt;i&gt;IEEE International Symposium on the Applications of Ferroelectric and Workshop on the Piezoresponse Force Microscopy (ISAF/PFM), 2013&lt;/i&gt;, Jul 2013, Prague, Czech Republic. pp.34 - 37, &lt;a target="_blank" href="https://dx.doi.org/10.1109/ISAF.2013.6748727"&gt;&amp;#x27E8;10.1109/ISAF.2013.6748727&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">IEEE International Symposium on the Applications of Ferroelectric and Workshop on the Piezoresponse Force Microscopy (ISAF/PFM), 2013, Jul 2013, Prague, Czech Republic. pp.34 - 37, &amp;#x27E8;10.1109/ISAF.2013.6748727&amp;#x27E9;</idno>
            <availability status="restricted"/>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CEA">CEA - Commissariat à l'énergie atomique</idno>
            <idno type="stamp" n="UNIV-NANTES">Université de Nantes</idno>
            <idno type="stamp" n="UNIV-RENNES1">Université de Rennes 1</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="INSA-RENNES">Institut National des Sciences Appliquées de Rennes</idno>
            <idno type="stamp" n="IETR">Institut d'Électronique et des Technologies du numéRique - UMR CNRS 6164</idno>
            <idno type="stamp" n="IETR_MF" corresp="IETR">Matériaux fonctionnels</idno>
            <idno type="stamp" n="DAM" corresp="CEA">Direction des applications militaires</idno>
            <idno type="stamp" n="UR1-HAL">Publications labos UR1 dans HAL-Rennes 1</idno>
            <idno type="stamp" n="UR1-MATH-STIC">UR1 - publications Maths-STIC</idno>
            <idno type="stamp" n="UR1-UFR-ISTIC">UFR ISTIC Informatique et électronique</idno>
            <idno type="stamp" n="IETR-FUNMAT" corresp="IETR">Functional MATerials</idno>
            <idno type="stamp" n="IETR-ADH">IETR - Département Antennes et Dispositifs Hyperfréquences</idno>
            <idno type="stamp" n="TEST-UNIV-RENNES">TEST Université de Rennes</idno>
            <idno type="stamp" n="TEST-UR-CSS">TEST Université de Rennes CSS</idno>
            <idno type="stamp" n="UNIV-RENNES">Université de Rennes</idno>
            <idno type="stamp" n="INSA-GROUPE">Groupe INSA</idno>
            <idno type="stamp" n="UR1-MATH-NUM">Pôle UnivRennes - Mathématiques - Numérique </idno>
            <idno type="stamp" n="NANTES-UNIVERSITE">Nantes Université</idno>
            <idno type="stamp" n="UNIV-NANTES-AV2022">Université de Nantes</idno>
            <idno type="stamp" n="IETR-NANTES" corresp="IETR">Publications IETR de Nantes Université</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="invited" n="0">No</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
            <note type="proceedings" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Free energy of BaTiO3 single crystal</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Raphaël</forename>
                    <surname>Renoud</surname>
                  </persName>
                  <email type="md5">ac6a3428a94f7d234547e35f2a4c07db</email>
                  <email type="domain">univ-nantes.fr</email>
                  <idno type="idhal" notation="string">raphael-renoud</idno>
                  <idno type="idhal" notation="numeric">740259</idno>
                  <idno type="halauthorid" notation="string">16352-740259</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-4339-5423</idno>
                  <idno type="IDREF">https://www.idref.fr/067156568</idno>
                  <affiliation ref="#struct-185974"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Mostafa</forename>
                    <surname>Ragheb</surname>
                  </persName>
                  <idno type="halauthorid">802598-0</idno>
                  <affiliation ref="#struct-185974"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Caroline</forename>
                    <surname>Borderon</surname>
                  </persName>
                  <email type="md5">e1979915daddc4d4780b258e4428ecc0</email>
                  <email type="domain">univ-nantes.fr</email>
                  <idno type="idhal" notation="string">caroline-borderon</idno>
                  <idno type="idhal" notation="numeric">182532</idno>
                  <idno type="halauthorid" notation="string">32873-182532</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-7126-9088</idno>
                  <idno type="IDREF">https://www.idref.fr/134189337</idno>
                  <affiliation ref="#struct-185974"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Hartmut</forename>
                    <surname>Gundel</surname>
                  </persName>
                  <email type="md5">c7d15fdf493aad31b656268af1210780</email>
                  <email type="domain">univ-nantes.fr</email>
                  <idno type="idhal" notation="numeric">918203</idno>
                  <idno type="halauthorid" notation="string">611610-918203</idno>
                  <affiliation ref="#struct-185974"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Gilles</forename>
                    <surname>Damamme</surname>
                  </persName>
                  <email type="md5">f6096f57df536f7acd40913306a9c6f4</email>
                  <email type="domain">CEA.fr</email>
                  <idno type="idhal" notation="numeric">874435</idno>
                  <idno type="halauthorid" notation="string">151244-874435</idno>
                  <affiliation ref="#struct-197470"/>
                </author>
              </analytic>
              <monogr>
                <meeting>
                  <title>IEEE International Symposium on the Applications of Ferroelectric and Workshop on the Piezoresponse Force Microscopy (ISAF/PFM), 2013</title>
                  <date type="start">2013-07-21</date>
                  <date type="end">2013-07-25</date>
                  <settlement>Prague</settlement>
                  <country key="CZ">Czech Republic</country>
                </meeting>
                <imprint>
                  <biblScope unit="pp">34 - 37</biblScope>
                </imprint>
              </monogr>
              <idno type="doi">10.1109/ISAF.2013.6748727</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">BaTiO3</term>
                <term xml:lang="en">phase transition</term>
                <term xml:lang="en">Ferroelectric crystals</term>
              </keywords>
              <classCode scheme="halDomain" n="chim.mate">Chemical Sciences/Material chemistry</classCode>
              <classCode scheme="halDomain" n="phys">Physics [physics]</classCode>
              <classCode scheme="halDomain" n="phys.cond">Physics [physics]/Condensed Matter [cond-mat]</classCode>
              <classCode scheme="halDomain" n="spi">Engineering Sciences [physics]</classCode>
              <classCode scheme="halDomain" n="phys.cond.cm-ms">Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci]</classCode>
              <classCode scheme="halTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halOldTypology" n="COMM">Conference papers</classCode>
              <classCode scheme="halTreeTypology" n="COMM">Conference papers</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>The thermodynamic description of a ferroelectric material is generally done using the approach of Landau. This latter is based on the development of the free energy around the para/ferro-electric transition temperature. Following the formulation of Devonshire (1949), many authors have tried to improve the description level. In this context, the free energy due to the elastic behavior of the material has been included in models. Despite this progress, the development of the free energy in successive power of the polarization still depends on parameters that must be set in an ad hoc manner. We propose here a formulation of the free energy for displacive ferroelectrics which takes direct account of the polarization but also of the coupling with temperature and of the electrostrictive coupling. We apply this formalism to the case of BaTiO3 single crystal. A comparison with experiment and with previous works is performed. The proposed approach allows for example to properly account for the evolution of the spontaneous polarization and lattice parameters as a function of temperature in all polar phases.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-185974" status="OLD">
          <idno type="IdRef">149256035</idno>
          <idno type="RNSR">200212224H</idno>
          <idno type="ROR">https://ror.org/013q33h79</idno>
          <orgName>Institut d'Électronique et des Technologies du numéRique</orgName>
          <orgName type="acronym">IETR</orgName>
          <date type="start">2012-01-01</date>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu Bâtiment 11D263 Av.Général Leclerc-CS 74205 35042 Rennes Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.ietr.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-93263" type="direct"/>
            <relation active="#struct-105160" type="direct"/>
            <relation active="#struct-117606" type="direct"/>
            <relation active="#struct-301232" type="indirect"/>
            <relation active="#struct-411575" type="direct"/>
            <relation name="UMR6164" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-197470" status="VALID">
          <orgName>GRAMAT</orgName>
          <orgName type="acronym">DAM/GRAMAT</orgName>
          <desc>
            <address>
              <addrLine>Route de Reilhac 46500 Gramat</addrLine>
              <country key="FR"/>
            </address>
          </desc>
          <listRelation>
            <relation name="DAM/GRAMAT" active="#struct-5981" type="direct"/>
            <relation name="DAM" active="#struct-300016" type="indirect"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-93263" status="OLD">
          <idno type="IdRef">026403447</idno>
          <idno type="ROR">https://ror.org/03gnr7b55</idno>
          <orgName>Université de Nantes</orgName>
          <orgName type="acronym">UN</orgName>
          <date type="end">2021-12-31</date>
          <desc>
            <address>
              <addrLine>1, quai de Tourville - BP 13522 - 44035 Nantes cedex 1</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-nantes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-105160" status="VALID">
          <idno type="IdRef">26693823X</idno>
          <idno type="ROR">https://ror.org/015m7wh34</idno>
          <orgName>Université de Rennes</orgName>
          <orgName type="acronym">UR</orgName>
          <desc>
            <address>
              <addrLine>Campus de Beaulieu, 263 avenue Général Leclerc, CS 74205, 35042 RENNES CEDEX</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-rennes.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-117606" status="VALID">
          <idno type="ROR">https://ror.org/04xaa4j22</idno>
          <orgName>Institut National des Sciences Appliquées - Rennes</orgName>
          <orgName type="acronym">INSA Rennes</orgName>
          <desc>
            <address>
              <addrLine>20, avenue des Buttes de Coësmes - CS 70839 - 35708 Rennes cedex 7</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.insa-rennes.fr/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-301232" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-301232" status="VALID">
          <idno type="IdRef">162105150</idno>
          <orgName>Institut National des Sciences Appliquées</orgName>
          <orgName type="acronym">INSA</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
          </desc>
        </org>
        <org type="institution" xml:id="struct-411575" status="VALID">
          <idno type="IdRef">184443237</idno>
          <idno type="ROR">https://ror.org/019tcpt25</idno>
          <orgName>CentraleSupélec</orgName>
          <desc>
            <address>
              <addrLine>3, rue Joliot Curie,Plateau de Moulon,91192 GIF-SUR-YVETTE Cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.centralesupelec.fr</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="regrouplaboratory" xml:id="struct-5981" status="VALID">
          <idno type="IdRef">026372096</idno>
          <idno type="ISNI">0000000119569481</idno>
          <idno type="ROR">https://ror.org/00kn4eb29</idno>
          <idno type="Wikidata">Q2931222</idno>
          <orgName>Direction des Applications Militaires</orgName>
          <orgName type="acronym">DAM</orgName>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">http://www-dam.cea.fr/</ref>
          </desc>
          <listRelation>
            <relation name="DAM" active="#struct-300016" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-300016" status="VALID">
          <idno type="IdRef">026372061</idno>
          <idno type="ISNI">0000000122998025</idno>
          <idno type="ROR">https://ror.org/00jjx8s55</idno>
          <idno type="Wikidata">Q868550</idno>
          <orgName>Commissariat à l'énergie atomique et aux énergies alternatives</orgName>
          <orgName type="acronym">CEA</orgName>
          <desc>
            <address>
              <addrLine>Centre de SaclayCentre de GrenobleCentre de Cadaracheetc</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.cea.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>