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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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">dan</journal-id><journal-title-group><journal-title xml:lang="ru">Доклады Национальной академии наук Беларуси</journal-title><trans-title-group xml:lang="en"><trans-title>Doklady of the National Academy of Sciences of Belarus</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1561-8323</issn><issn pub-type="epub">2524-2431</issn><publisher><publisher-name>The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.29235/1561-8323-2024-68-6-513-518</article-id><article-id custom-type="elpub" pub-id-type="custom">dan-1228</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>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TECHNICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>Влияние жесткости и добротности зонда на характеристики его колебаний в динамическом режиме работы атомно-силового микроскопа</article-title><trans-title-group xml:lang="en"><trans-title>Influence of the probe spring constant and the quality factor on its oscillation characteristics in dynamic mode of atomic force microscopy</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Абетковская</surname><given-names>С. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Abetkovskaia</surname><given-names>S. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Абетковская Светлана Олеговна – научный сотрудник</p><p>ул. П. Бровки, 15, 220072, Минск</p></bio><bio xml:lang="en"><p>Abetkovskaia Sviatlana O. – Researcher</p><p>15, P. Brovka Str., 220072, Minsk</p></bio><email xlink:type="simple">abetkovskaia@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Чижик</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Chizhik</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Чижик Сергей Антонович – академик, д-р техн. наук, профессор, заведующий отделением</p><p>ул. П. Бровки, 15, 220072, Минск</p></bio><bio xml:lang="en"><p>Chizhik Sergei A. – Academician, D. Sc. (Engineering), Professor, Head of the Department</p><p>15, P. Brovka Str., 220072, Minsk</p></bio><email xlink:type="simple">chizhik_sa@tut.by</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт тепло- и массообмена имени А. В. Лыкова Национальной академии наук Беларуси</institution></aff><aff xml:lang="en"><institution>A. V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2025</year></pub-date><volume>68</volume><issue>6</issue><fpage>513</fpage><lpage>518</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Абетковская С.О., Чижик С.А., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Абетковская С.О., Чижик С.А.</copyright-holder><copyright-holder xml:lang="en">Abetkovskaia S.O., Chizhik S.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://doklady.belnauka.by/jour/article/view/1228">https://doklady.belnauka.by/jour/article/view/1228</self-uri><abstract><p>В работе приведены результаты математического моделирования динамической атомно-силовой микроскопии (АСМ). Исследовано влияние жесткости и добротности АСМ-зонда на амплитуду, сдвиг фазы колебаний его острия в режиме полуконтактного взаимодействия с поверхностью материала. Рассчитаны глубины деформирования материала зондом. Также показано влияние амплитуды колебаний пьезогенератора, вынуждающего зонд осциллировать, на характеристики колебаний зонда. </p></abstract><trans-abstract xml:lang="en"><p>The work presents the results of mathematical simulation of dynamic atomic force microscopy (AFM). Influences of spring constant, the quality factor of AFM-probe on its vibration amplitude and phase shifts are studied for semi-contact interaction of tip probe and sample surface. The deformation depths of sample by probe are calculated. Also the influence of oscillation amplitude of piezogenerator, which forces probe vibration, on the characteristics of probe oscillation is shown. </p></trans-abstract><kwd-group xml:lang="ru"><kwd>атомно-силовая микроскопия</kwd><kwd>АСМ</kwd><kwd>динамический режим</kwd><kwd>зонд</kwd><kwd>колебания</kwd><kwd>модель Джонсона–Кенделла–Робертса</kwd><kwd>жесткость зонда</kwd><kwd>добротность зонда</kwd><kwd>амплитуда колебаний пьезогенератора</kwd><kwd>глубина деформирования материала</kwd></kwd-group><kwd-group xml:lang="en"><kwd>atomic force microscopy</kwd><kwd>AFM</kwd><kwd>dynamic mode</kwd><kwd>probe</kwd><kwd>oscillation</kwd><kwd>the Johnson–Kendall–Roberts model</kwd><kwd>probe spring constant</kwd><kwd>the probe quality factor</kwd><kwd>oscillation amplitude of piezogenerator</kwd><kwd>deformation depth of material</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках задания 3.03.3 ГПНИ «Конвергенция–2025» на 2021–2025 гг.</funding-statement><funding-statement xml:lang="en">The work is performed within the framework of the project 3.03.3 of the State program of scientific research “Convergence–2025” for 2021–2025.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Probes by “NT-MDT”. 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