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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-195</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>Image-Potential States in Small Metal Particles</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>Fayzullin</surname><given-names>M. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>420008, Kremlyovskaya 18, Kazan</p></bio><email xlink:type="simple">fmrs@inbox.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Zhikharev</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>420015, Karl Marks 68, Kazan</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Kazan State University</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Kazan State Technological University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2007</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2024</year></pub-date><volume>9</volume><issue>2</issue><fpage>1</fpage><lpage>5</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Fayzullin M.A., Zhikharev V.A., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Fayzullin M.A., Zhikharev V.A.</copyright-holder><copyright-holder xml:lang="en">Fayzullin M.A., Zhikharev V.A.</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/195">https://www.mrsej.ru/jour/article/view/195</self-uri><abstract><p>Electron states near the surface of small metal particle caused by an image charge (image-potential states) have been investigated. The wave functions were calculated and the energy spectrum of these states was found depending on particle size. To estimate the influence of static magnetic field on the image-potential states the model problem, in which electron is localized on a surface of a sphere in uniform magnetic field was solved. In this case the field dependence of the energy levels represents a complex level crossing structure.</p></abstract><kwd-group xml:lang="en"><kwd>image-potential states</kwd><kwd>energy level crossing</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">Straub D., Himpsel F. J. Phys. Rev. Lett. 52, 1922 (1984).</mixed-citation><mixed-citation xml:lang="en">Straub D., Himpsel F. J. Phys. Rev. Lett. 52, 1922 (1984).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Himpsel F. J., Ortega J. E. 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