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  <front xmlns:xlink="http://www.w3.org/1999/xlink">
    <journal-meta>
      <journal-title-group>
        <journal-title>St. Petersburg Polytechnic University Journal: Physics and Mathematics</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Научно-технические ведомости СПбГПУ. Физико-математические науки</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2304-9782, 2618-8686, 2405-7223</issn>
    </journal-meta>
    <article-meta xmlns:xlink="http://www.w3.org/1999/xlink">
      <article-id pub-id-type="publisher-id">1</article-id>
      <article-id pub-id-type="doi">10.18721/JPM.18301</article-id>
      <title-group>
        <article-title>Critical scattering of synchrotron radiation in the lead zirconate-titanate (PZT2.4) using the Last model for the soft mode</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Критическое рассеяние синхротронного излучения в цирконате-титанате свинца (PZT2.4) с использованием модели Ласта для мягкой моды</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0003-4867-1404</contrib-id>
          <name>
            <surname>Vakhrushev</surname>
            <given-names>Sergey</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>s.vakhrushev@mail.ioffe.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0009-0009-9951-758X</contrib-id>
          <name>
            <surname>Reimers</surname>
            <given-names>Serafim</given-names>
          </name>
          <xref ref-type="aff" rid="aff2"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0003-0225-0487</contrib-id>
          <name>
            <surname>Bronwald</surname>
            <given-names>Iurii</given-names>
          </name>
          <xref ref-type="aff" rid="aff3"/>
          <email>yuramel@gmail.com</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Ioffe Institute of the Russian Academy of Sciences</aff>
      <aff id="aff2">Peter the Great St. Petersburg Polytechnic University</aff>
      <aff id="aff3">Ioffe Institute of RAS</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-09-09">
        <day>09</day>
        <month>09</month>
        <year>2025</year>
      </pub-date>
      <volume>18</volume>
      <issue>3</issue>
      <fpage>9</fpage>
      <lpage>19</lpage>
      <self-uri xmlns:xlink="http://www.w3.org/1999/xlink" content-type="pdf" xlink:href="https://physmath.spbstu.ru/userfiles/files/articles/2025/3/01_vakhrushev.pdf"/>
      <abstract xml:lang="en">
        <p>In this work, an experimental and theoretical studies of critical scattering for the PbZr0.976Ti 0.024O3 (PZT2.4) compound in the vicinity of the Brillouin zone center have been carried out taking into account the mode coupling. The scattering measurements were carried out at the European Synchrotron Radiation Facility (ESRF). One-dimensional profiles of the scattering intensity dependence on the wave vector were obtained using specially developed programs. The Last model was used for the optical soft mode in the Brillouin zone center. The frequencies and polarization vectors of the renormalized modes were determined by quantitative analysis of the scattering profile for the soft direction [1 0 1]. Good agreement between the calculated results of the model and the experimental data was achieved. The polarization vector’s change of the lowest transverse acoustic mode was traced as a function of the reduced wave vector.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>ferroelectric</kwd>
        <kwd>antiferroelectric</kwd>
        <kwd>phase transition</kwd>
        <kwd>lattice dynamics</kwd>
        <kwd>critical scattering</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
