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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "https://jats.nlm.nih.gov/publishing/1.3/JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xml:lang="ru">
  <front>
    <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>
      <article-id pub-id-type="publisher-id">15</article-id>
      <title-group>
        <article-title>Higher-order finite-difference method and its application to investigation of clusters of covalent crystals</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Метод конечных разностей высокого порядка и его использование для исследования кластеров ковалентных кристаллов</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Onopko</surname>
            <given-names>Daniil</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
      </contrib-group>
      <aff id="aff1">Open Joint Stock Company "S. I. Vavilov State Optical Institute"</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2009-03-30">
        <day>30</day>
        <month>03</month>
        <year>2009</year>
      </pub-date>
      <issue>1</issue>
      <issue-id pub-id-type="publisher-id">73</issue-id>
      <fpage>101</fpage>
      <lpage>110</lpage>
      <abstract xml:lang="en">
        <p>The previously suggested procedure for the account of boundary conditions for clusters of covalent crystals has been realized on the basis of high-order finite-difference method. In cluster approximation the peculiarities of the electron structure and space structure of regular crystals (GaAs, Si) as well as the impurity centers (GaAs:Si, Si:P, Si:S) are studied. We consider the defect stability, its probable reconstruction and also the influence of the center charge on its stability. The reasonably good agreement with the results of experiment as well as with the conclusions of crystalline approach (expanded cell method) has been obtained.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>boundary conditions for clusters of covalent crystals</kwd>
        <kwd>higher-order finite-difference method</kwd>
        <kwd>impurity centers in crystals</kwd>
        <kwd>reconstruction</kwd>
      </kwd-group>
    </article-meta>
  </front>
</article>
