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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">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2025-16-4-441-449</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1443</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="en"><subject>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Ionic conductivity in nanopipettes: experiment and model</article-title><trans-title-group xml:lang="ru"><trans-title>Ионная проводимость в нанопипетках: эксперимент и модель</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5356-1261</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Лукашенко</surname><given-names>С. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Lukashenko</surname><given-names>S. Yu.</given-names></name></name-alternatives><bio xml:lang="en"><p>Stanislav Yu. Lukashenko</p><p>Saint Petersburg </p></bio><email xlink:type="simple">lukashenko13@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-7054-6602</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Горбенко</surname><given-names>О. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Gorbenko</surname><given-names>O. M.</given-names></name></name-alternatives><bio xml:lang="en"><p>Olga M. Gorbenko</p><p>Saint Petersburg</p></bio><email xlink:type="simple">gorolga64@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8677-061X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Фельштын</surname><given-names>М. Л.</given-names></name><name name-style="western" xml:lang="en"><surname>Felshtyn</surname><given-names>M. L.</given-names></name></name-alternatives><bio xml:lang="en"><p>Mikhail L. Felshtyn</p><p>Saint Petersburg </p></bio><email xlink:type="simple">mfelsztyn@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2575-5015</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сапожников</surname><given-names>И. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Sapozhnikov</surname><given-names>I. D.</given-names></name></name-alternatives><bio xml:lang="en"><p>Ivan D. Sapozhnikov</p><p>Saint Petersburg </p></bio><email xlink:type="simple">isapojnikov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1571-209X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кириленко</surname><given-names>Д. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirilenko</surname><given-names>D. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Demid A. Kirilenko</p><p>Saint Petersburg </p></bio><email xlink:type="simple">Demid.Kirilenko@mail.ioffe.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8578-5200</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Пичахчи</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Pichakhchi</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Stepan V. Pichakhchi</p><p>Saint Petersburg </p></bio><email xlink:type="simple">pichakhchi.s@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3361-6947</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жуков</surname><given-names>М. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhukov</surname><given-names>M. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Mikhail V. Zhukov</p><p>Saint Petersburg </p></bio><email xlink:type="simple">cloudjyk@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9970-9172</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Голубок</surname><given-names>А. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Golubok</surname><given-names>A. O.</given-names></name></name-alternatives><bio xml:lang="en"><p>Alexander O. Golubok</p><p>Saint Petersburg </p></bio><email xlink:type="simple">aogolubok@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Institute for Analytical Instrumentation of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff><aff xml:lang="en" id="aff-2"><institution>Ioffe Institute</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>03</day><month>09</month><year>2025</year></pub-date><volume>16</volume><issue>4</issue><fpage>441</fpage><lpage>449</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Lukashenko S.Y., Gorbenko O.M., Felshtyn M.L., Sapozhnikov I.D., Kirilenko D.A., Pichakhchi S.V., Zhukov M.V., Golubok A.O., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Лукашенко С.Ю., Горбенко О.М., Фельштын М.Л., Сапожников И.Д., Кириленко Д.А., Пичахчи С.В., Жуков М.В., Голубок А.О.</copyright-holder><copyright-holder xml:lang="en">Lukashenko S.Y., Gorbenko O.M., Felshtyn M.L., Sapozhnikov I.D., Kirilenko D.A., Pichakhchi S.V., Zhukov M.V., Golubok 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://nanojournal.ifmo.ru/jour/article/view/1443">https://nanojournal.ifmo.ru/jour/article/view/1443</self-uri><abstract><p>This work investigates ion transport in glass nanopipettes with tip diameters in the range of 80–100 nm, filled with phosphate-buffered saline. A combination of experimental measurements and theoretical modeling is employed. A coupled Poisson-Nernst-Planck-Navier-Stokes model is used to describe the ion transport, incorporating electroosmotic flow, electrophoresis and interionic effects. The theoretical results are in good agreement with experimental current to voltage characteristics. Comparison between modeled and measured data enables estimation of nanopipette geometry with good accuracy. The simulations also reveal characteristic spatial distributions of ionic flow in the aperture area of the nanopipette tip, governed by electroosmosis and the tip shape. These findings provide insights into nanoscale ion transport phenomena relevant for analytical and biological applications.</p></abstract><trans-abstract xml:lang="ru"><p>В этой работе представлено исследование ионной проводимости в стеклянных нанопипетках с внутренними диаметрами при вершине в диапазоне 80–100 нм, заполненных буферным раствором. Используется комбинация экспериментальных измерений и теоретического моделирования. Для описания ионной проводимости использовалась совмещенная модель Пуассона-Нернста-Планка-Навье-Стокса, учитывающая электроосмотический и электрофоретический потоки и эффекты межионного взаимодействия. Рассчитанные значения ионных токов хорошо согласуются с экспериментальными вольт-амперными характеристиками. Сравнение между рассчитанными и измеренными данными позволяет с хорошей точностью оценить внутренний диаметр при вершине нанопипетки. Моделирование также выявляет особенность в пространственном распределении электроосмотического потока в области вершины нанопипетки, управляемую геометрией вершины и апертуры нанопипетки. Полученные результаты предоставляют новые данные об ионной проводимости в наносистемах, важные для разработки аналитических платформ и инструментов на основе нанопипеток для биомедицинских задач.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Боросиликатные</kwd><kwd>Боросиликатные нанопипетки</kwd><kwd>геометрия нанопипеток</kwd><kwd>ионная проводимость</kwd><kwd>электроосмотический поток</kwd><kwd>ректификация ионного тока</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Borosilicate nanopipettes</kwd><kwd>nanopipette geometry</kwd><kwd>ionic conductivity</kwd><kwd>electroosmotic flow</kwd><kwd>ion current rectification</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">Yaul, M.; Bhatti, R.; Lawrence, S. 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