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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-178</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title>The Coulomb interaction between an s-orbital electron and ionic crystal lattice</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Anikeenok</surname><given-names>A. O.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><email xlink:type="simple">Oleg.Anikeenok@ksu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Kazan State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2009</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2024</year></pub-date><volume>11</volume><issue>1</issue><fpage>1</fpage><lpage>6</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Anikeenok A.O., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Anikeenok A.O.</copyright-holder><copyright-holder xml:lang="en">Anikeenok A.O.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.mrsej.ru/jour/article/view/178">https://www.mrsej.ru/jour/article/view/178</self-uri><abstract><p>Analytical expressions for the Coulomb interaction between an s-orbital electron and the surroundings, infinite ionic crystal lattice are derived. The s-orbital wave functions are presented in the form of a Gaussian expansion. As a test, Madelung constants and interaction energy for NaCl, KMgF3, CaF2 are calculated using a single Gaussian exponent. The calculated values are coincided with known literature data with a high degree of accuracy.</p></abstract><kwd-group xml:lang="en"><kwd>localized orbitals</kwd><kwd>Madelung energy</kwd><kwd>orbital energy</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Ewald P.P. Ann. der Physik 64, 253 (1921).</mixed-citation><mixed-citation xml:lang="en">Ewald P.P. Ann. der Physik 64, 253 (1921).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Evjen H.M. Phys. Rev. 39, 675 (1932).</mixed-citation><mixed-citation xml:lang="en">Evjen H.M. Phys. 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