<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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 custom-type="elpub" pub-id-type="custom">najo-1072</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>Model of porous aluminum oxide growth in the initial stage of anodization</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>Aryslanov</surname><given-names>E. M.</given-names></name></name-alternatives><bio xml:lang="en"><p>49 Kronverkskiy, St. Petersburg, 197101</p></bio><email xlink:type="simple">elizabeth.aryslanova@gmail.com</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>Alfimov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>49 Kronverkskiy, St. Petersburg, 197101</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Chivilikhin</surname><given-names>S. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>49 Kronverkskiy, St. Petersburg, 1</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>St. Petersburg National Research University of Information Technologies, Mechanics and Optics</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2013</year></pub-date><pub-date pub-type="epub"><day>17</day><month>08</month><year>2025</year></pub-date><volume>4</volume><issue>5</issue><fpage>585</fpage><lpage>591</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Aryslanov E.M., Alfimov A.V., Chivilikhin S.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Aryslanov E.M., Alfimov A.V., Chivilikhin S.A.</copyright-holder><copyright-holder xml:lang="en">Aryslanov E.M., Alfimov A.V., Chivilikhin 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://nanojournal.ifmo.ru/jour/article/view/1072">https://nanojournal.ifmo.ru/jour/article/view/1072</self-uri><abstract><p>Currently, due to the development of nanotechnology and metamaterials, it has become important to obtain regular self-organized structures, with different parameters. Porous anodic alumina films are self-organizing structures, which can be represented in a hexagonal packing of cylindrical pores normal to the plane of the aluminum film and used as a template for synthesis of various nanocomposites. The diameter of pores and the distance between them can vary (pore diameter — from 2 to 350 nm, the distance between the pores — from 5 to 50 nm), using different electrolytes, voltage and anodizing time. Currently, there are various models that describe the growth of a porous film of aluminum oxide, but none take into account the influence of aluminum layers and electrolyte on the rate of aluminum oxide growth, as well as the effect of surface diffusion. In present work we consider those effects.</p></abstract><kwd-group xml:lang="en"><kwd>porous aluminum oxide</kwd><kwd>anodizing</kwd><kwd>anodized aluminum oxide</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">D.I. Petukhov, K.S. Napolskii, A.A. Eliseev. Permeability of anodic alumina membranes with branched channels. Nanotechnology, 23(33), P. 1–6 (2012).</mixed-citation><mixed-citation xml:lang="en">D.I. Petukhov, K.S. Napolskii, A.A. Eliseev. Permeability of anodic alumina membranes with branched channels. Nanotechnology, 23(33), P. 1–6 (2012).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">D.I. Petukhov, K.S. Napolskii, M.V. Berekchiyan, A.G. Lebedev, A.A. Eliseev. Comparative Study of Structure and Permeability of Porous Oxide Films on Aluminum Obtained by Single- and Two-Step Anodization. ACS applied materials &amp; interfaces, 5, P. 7819–7824 (2013).</mixed-citation><mixed-citation xml:lang="en">D.I. Petukhov, K.S. Napolskii, M.V. Berekchiyan, A.G. Lebedev, A.A. Eliseev. Comparative Study of Structure and Permeability of Porous Oxide Films on Aluminum Obtained by Single- and Two-Step Anodization. ACS applied materials &amp; interfaces, 5, P. 7819–7824 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">K.S Napolskii., I. V. Roslyakov, A.A. Eliseev, D.V. Byelov, A.V. Petukhov, N.A. Grigoryeva, W.G. Bouwman, A.V. Lukashin, A.P. Chumakov, S.V. Grigoriev. The Kinetics and Mechanism of Long-Range Pore Ordering in Anodic Films on Aluminum. Journal of Physical Chemistry C, 115(48), P. 23726– 23731 (2012).</mixed-citation><mixed-citation xml:lang="en">K.S Napolskii., I. V. Roslyakov, A.A. Eliseev, D.V. Byelov, A.V. Petukhov, N.A. Grigoryeva, W.G. Bouwman, A.V. Lukashin, A.P. Chumakov, S.V. Grigoriev. The Kinetics and Mechanism of Long-Range Pore Ordering in Anodic Films on Aluminum. Journal of Physical Chemistry C, 115(48), P. 23726– 23731 (2012).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">D.I. Petukhov, A.A. Yeliseyev, D.A. Buldakt, R.S. Napol’skiy, A.V. Lukashin, Yu.D. Tret’yakov, Yu.D. Yampol’skiy. Anodic aluminum oxide: membranes with controlled gas permeability. Membranes, 3(43), P. 16–22 (2009).</mixed-citation><mixed-citation xml:lang="en">D.I. Petukhov, A.A. Yeliseyev, D.A. Buldakt, R.S. Napol’skiy, A.V. Lukashin, Yu.D. Tret’yakov, Yu.D. Yampol’skiy. Anodic aluminum oxide: membranes with controlled gas permeability. Membranes, 3(43), P. 16–22 (2009).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">V.Yu. Koda, M.M. Nishchenko, G.P. Prikhod’ko, S.Ya. Brichka. Electronic and mechanical properties of carbon nanotubes produced by the matrix method. Proceeding of conference ICHMS’2005, P. 455–457.</mixed-citation><mixed-citation xml:lang="en">V.Yu. Koda, M.M. Nishchenko, G.P. Prikhod’ko, S.Ya. Brichka. Electronic and mechanical properties of carbon nanotubes produced by the matrix method. Proceeding of conference ICHMS’2005, P. 455–457.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">V.M. Parkun, I.A. Vrublevskiy, Ye.P. Ignashev, M.V. Parkun Investigation of porous alumina volume growth. Doklady BGUIR, 1(2), P. 66–72 (2003).</mixed-citation><mixed-citation xml:lang="en">V.M. Parkun, I.A. Vrublevskiy, Ye.P. Ignashev, M.V. Parkun Investigation of porous alumina volume growth. Doklady BGUIR, 1(2), P. 66–72 (2003).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ye.V. Zolotukhina, B.A. Spiridonov, V.I. Fedyanin, Ye.V. Grudneva. Disinfection of water by the use of nanocomposites based on porous aluminum oxide and silver compounds. Sorbtsionnyye i khromatograficheskiye protsessy, 10(1), P. 78–85 (2010).</mixed-citation><mixed-citation xml:lang="en">Ye.V. Zolotukhina, B.A. Spiridonov, V.I. Fedyanin, Ye.V. Grudneva. Disinfection of water by the use of nanocomposites based on porous aluminum oxide and silver compounds. Sorbtsionnyye i khromatograficheskiye protsessy, 10(1), P. 78–85 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">A.I. Chukavin, R.G. Valeev, A.N. Beltukov. The synthesis of germanium nanostructures in porous anodic alumina matrix. Bulletin of Udmurt University. Physics. Chemistry, 2, P. 3–7 (2011).</mixed-citation><mixed-citation xml:lang="en">A.I. Chukavin, R.G. Valeev, A.N. Beltukov. The synthesis of germanium nanostructures in porous anodic alumina matrix. Bulletin of Udmurt University. Physics. Chemistry, 2, P. 3–7 (2011).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">G. Patermarakis The origin of nucleation and development of porous nanostructure of anodic lumina films. Journal of Electroanalytical Chemistry, 635, P. 39–50 (2009).</mixed-citation><mixed-citation xml:lang="en">G. Patermarakis The origin of nucleation and development of porous nanostructure of anodic lumina films. Journal of Electroanalytical Chemistry, 635, P. 39–50 (2009).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">I.V. Roslyakov, K.S. Napol’skiy, A.A. Yeliseyev, A.V. Lukashin, D.Yu. Chernyshov, S.V. Grigor’yev Synthesis of magnetic nanoparticles with controlled anisotropy of functional properties in the matrix of porous alumina. Nanotechnologies in Russia, 4(3–4), P. 82–86 (2009).</mixed-citation><mixed-citation xml:lang="en">I.V. Roslyakov, K.S. Napol’skiy, A.A. Yeliseyev, A.V. Lukashin, D.Yu. Chernyshov, S.V. Grigor’yev Synthesis of magnetic nanoparticles with controlled anisotropy of functional properties in the matrix of porous alumina. Nanotechnologies in Russia, 4(3–4), P. 82–86 (2009).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">L. Datas, Le Coz F., L. Arurault. Chemical analysis of a single basic cell of porous anodic aluminium oxide templates. Mat. Char, 61, P. 283–288 (2010).</mixed-citation><mixed-citation xml:lang="en">L. Datas, Le Coz F., L. Arurault. Chemical analysis of a single basic cell of porous anodic aluminium oxide templates. Mat. Char, 61, P. 283–288 (2010).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">G.R. Singh, A.A. Golovin, I.S. Aranson. Formation of self-organized nanoscale porous structures in anodic aluminum oxide. Physical review B, 73, P. 205422, 1-12 (2006).</mixed-citation><mixed-citation xml:lang="en">G.R. Singh, A.A. Golovin, I.S. Aranson. Formation of self-organized nanoscale porous structures in anodic aluminum oxide. Physical review B, 73, P. 205422, 1-12 (2006).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">A.V. Atrashchenko, A.A. Krasilin, I.S. Kuchuk, Ye.M. Aryslanova, S.A. Chivilikhin, P.A. Belov. Electrochemical methods of synthesis of hyperbolic metamaterials. Nanosystems: Physics, chemistry, mathematics, 3(1), P. 31–51 (2012).</mixed-citation><mixed-citation xml:lang="en">A.V. Atrashchenko, A.A. Krasilin, I.S. Kuchuk, Ye.M. Aryslanova, S.A. Chivilikhin, P.A. Belov. Electrochemical methods of synthesis of hyperbolic metamaterials. Nanosystems: Physics, chemistry, mathematics, 3(1), P. 31–51 (2012).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">E.M. Aryslanova, A.V. Alfimov, S.A. Chivilikhin. Modelling the initial stage of porous alumina growth during anodization. Proceedings of SPIE. Nanotechnology, P. 8766, 1–16 (2013).</mixed-citation><mixed-citation xml:lang="en">E.M. Aryslanova, A.V. Alfimov, S.A. Chivilikhin. Modelling the initial stage of porous alumina growth during anodization. Proceedings of SPIE. Nanotechnology, P. 8766, 1–16 (2013).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">E.M. Aryslanova, A.V. Alfimov, S.A. Chivilikhin, I.Yu. Popov, V.V. Gusarov. Modeling the process of aluminum anodization. Book of abstracts of “International Summer School “Advanced Problems in Mechanics”, St. Petersburg, Russia , July 1 – 6, 2013, P. 30–31.</mixed-citation><mixed-citation xml:lang="en">E.M. Aryslanova, A.V. Alfimov, S.A. Chivilikhin, I.Yu. Popov, V.V. Gusarov. Modeling the process of aluminum anodization. Book of abstracts of “International Summer School “Advanced Problems in Mechanics”, St. Petersburg, Russia , July 1 – 6, 2013, P. 30–31.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
