<?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 pub-id-type="doi">10.17586/2220-8054-2023-14-2-172-177</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-127</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>Study of ion partitioning in nanoporous materials by analytical approach and molecular modeling</article-title><trans-title-group xml:lang="ru"><trans-title>Исследование распределения ионов в нанопористых материалах с помощью аналитического подхода и молекулярного моделирования</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-2988-0918</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Двейк</surname><given-names>Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Dweik</surname><given-names>J.</given-names></name></name-alternatives><bio xml:lang="en"><p>Jalal Dweik – Professor in Mathematics and Physics</p><p>Zaytoun Abi-Samra, P.O. Box: 808, Tripoli</p></bio><email xlink:type="simple">Jalal.douwayk@jinan.edu.lb</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0370-1120</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Коабаз</surname><given-names>М.</given-names></name><name name-style="western" xml:lang="en"><surname>Koabazb</surname><given-names>M.</given-names></name></name-alternatives><bio xml:lang="en"><p>Mahmoud Koabaz – Assistant Professor in Mathematics and Physics</p><p>Zaytoun Abi-Samra, P.O. Box: 808, Tripoli</p></bio><email xlink:type="simple">mahmoud.koabaz@jinan.edu.lb</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Jinan University</institution><country>Lebanon</country></aff><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>03</day><month>06</month><year>2025</year></pub-date><volume>14</volume><issue>2</issue><fpage>172</fpage><lpage>177</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Dweik J., Koabazb M., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Двейк Д., Коабаз М.</copyright-holder><copyright-holder xml:lang="en">Dweik J., Koabazb M.</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/127">https://nanojournal.ifmo.ru/jour/article/view/127</self-uri><abstract><p>Physical and chemical processes that occur in nano-confined aqueous solutions, particularly the role of “solute-interface” and “solute-solute” interactions within nanopores, are the source of filtration selectivity and require further investigation. The goal is to clarify the validity of different approximations based on the macroscopic mean field approach by comparing them with computational techniques such as Monte Carlo (GCMC) and classical molecular dynamics (MD). These techniques are used to study the distribution of ions at the water/nanopore interface. At the molecular scale, the results show that the distribution of ions depends on their size, polarizability and the structure of water when it is explicitly added to the model, which cannot be reproduced by the primitive model using the GCMC and the mean field approach based on the Poisson Boltzmann equation.</p></abstract><trans-abstract xml:lang="ru"><p>Физические и химические процессы, которые происходят в наноограниченных водных растворах, особенно роль взаимодействий «растворенное вещество-поверхность раздела» и «растворенное вещество-растворенное вещество» внутри нанопор, являются источником селективности фильтрации и требуют дальнейшего изучения. Цель состоит в том, чтобы выяснить достоверность различных приближений, основанных на макроскопическом подходе среднего поля, путем сравнения их с вычислительными методами, такими как метод Монте-Карло (GCMC) и классическая молекулярная динамика (МД). Эти методы используются для изучения распределения ионов на границе раздела вода/нанопоры. На молекулярном уровне результаты показывают, что распределение ионов зависит от их размера, поляризуемости и структуры воды, когда она явно добавляется в модель, что не может быть воспроизведено примитивной моделью, использующей GCMC и подход среднего поля, основанный на по уравнению Пуассона-Больцмана.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нанопористые материалы</kwd><kwd>молекулярная динамика</kwd><kwd>распределение ионов</kwd><kwd>структура воды</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nanoporous materials</kwd><kwd>molecular dynamics</kwd><kwd>ions distribution</kwd><kwd>water structure</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">Dresner L., Kraus K.A. Ion exclusion and salt filtering with porous ion-exchange materials. J. Phys. Chem., 1963, 67, P. 990–998.</mixed-citation><mixed-citation xml:lang="en">Dresner L., Kraus K.A. Ion exclusion and salt filtering with porous ion-exchange materials. J. Phys. Chem., 1963, 67, P. 990–998.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Jacazio G., Probstein R.F., Sonin A.A., Yung D. Electrokinetic salt rejection in hyperfiltration through porous materials: Theory and experiments. J. Phys. Chem., 1972, 76, P. 4015–4023.</mixed-citation><mixed-citation xml:lang="en">Jacazio G., Probstein R.F., Sonin A.A., Yung D. Electrokinetic salt rejection in hyperfiltration through porous materials: Theory and experiments. J. Phys. Chem., 1972, 76, P. 4015–4023.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Siwy Z., Fulinski A. Origin of Noise in Membrane Channel Currents. Phys. Rev. Lett., 2002, 89, P. 158101–158104.</mixed-citation><mixed-citation xml:lang="en">Siwy Z., Fulinski A. Origin of Noise in Membrane Channel Currents. Phys. Rev. Lett., 2002, 89, P. 158101–158104.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Crozier P.S., Rowley R.L. Molecular dynamics simulation of continuous current flow through a model biological membrane channel. Phys. Rev. Lett., 2001, 86, P. 2467–2470.</mixed-citation><mixed-citation xml:lang="en">Crozier P.S., Rowley R.L. Molecular dynamics simulation of continuous current flow through a model biological membrane channel. Phys. Rev. Lett., 2001, 86, P. 2467–2470.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Roux B., Karplus M. Molecular dynamics simulations of the gramicidin channel. Annu. Rev. Biophys. Biomol. Struct., 1994, 23, P. 731–761.</mixed-citation><mixed-citation xml:lang="en">Roux B., Karplus M. Molecular dynamics simulations of the gramicidin channel. Annu. Rev. Biophys. Biomol. Struct., 1994, 23, P. 731–761.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Jardat M., Hribar-Lee B., Vlachy V. Self-diffusion of ions in charged nanoporous media. Soft Matter., 2012, 8, P. 954–964.</mixed-citation><mixed-citation xml:lang="en">Jardat M., Hribar-Lee B., Vlachy V. Self-diffusion of ions in charged nanoporous media. Soft Matter., 2012, 8, P. 954–964.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Donnan F.G. The theory of membrane equilibrium and membrane potential in the presence of a non-dialyzable electrolyte. A contribution to physical-chemical physiology. Z. F¨ur Elektrochem. Und Angew. Phys. Chem., 1911, 17, P. 572–581.</mixed-citation><mixed-citation xml:lang="en">Donnan F.G. The theory of membrane equilibrium and membrane potential in the presence of a non-dialyzable electrolyte. A contribution to physical-chemical physiology. Z. F¨ur Elektrochem. Und Angew. Phys. Chem., 1911, 17, P. 572–581.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Palmeri J., Blanc P., Larbot A., David P. Theory of pressure-driven transport of neutral solutes and ions in porous ceramic nanofiltration membranes. J. Membrane Sci., 1999, 160 (2), P. 141–170.</mixed-citation><mixed-citation xml:lang="en">Palmeri J., Blanc P., Larbot A., David P. Theory of pressure-driven transport of neutral solutes and ions in porous ceramic nanofiltration membranes. J. Membrane Sci., 1999, 160 (2), P. 141–170.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Chang C.W., Chu C.W., Su Y.S., Yeh L.H. Space charge enhanced ion transport in heterogeneous polyelectrolyte/alumina nanochannel membranes for high-performance osmotic energy conversion. J. Mater. Chem. A, 2022, 10, P. 2867–2875.</mixed-citation><mixed-citation xml:lang="en">Chang C.W., Chu C.W., Su Y.S., Yeh L.H. Space charge enhanced ion transport in heterogeneous polyelectrolyte/alumina nanochannel membranes for high-performance osmotic energy conversion. J. Mater. Chem. A, 2022, 10, P. 2867–2875.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Jamnik B., Vlachy V.J. Ion Partitioning between Charged Micropores and Bulk Electrolyte Solution. Mixtures of Mono- and Divalent Counterions and Monovalent Co-Ions. Am. Chem. Soc., 1995, 117 (30), P. 8010–8016.</mixed-citation><mixed-citation xml:lang="en">Jamnik B., Vlachy V.J. Ion Partitioning between Charged Micropores and Bulk Electrolyte Solution. Mixtures of Mono- and Divalent Counterions and Monovalent Co-Ions. Am. Chem. Soc., 1995, 117 (30), P. 8010–8016.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Dubois M., Zemb T., Belloni L., Deville A., Levitz P., Setton R. Osmotic pressure and salt exclusion in electrostatically swollen lamellar phases. J. Chem. Phys., 1992, 96, P. 2278–2286.</mixed-citation><mixed-citation xml:lang="en">Dubois M., Zemb T., Belloni L., Deville A., Levitz P., Setton R. Osmotic pressure and salt exclusion in electrostatically swollen lamellar phases. J. Chem. Phys., 1992, 96, P. 2278–2286.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Hartnig C., Witschel C., Spohr E., Bunsenges Ber. Molecular dynamics study of electrolyte-filled pores. Phys. Chem., 1998, 102, P. 1689–1692.</mixed-citation><mixed-citation xml:lang="en">Hartnig C., Witschel C., Spohr E., Bunsenges Ber. Molecular dynamics study of electrolyte-filled pores. Phys. Chem., 1998, 102, P. 1689–1692.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Boiteux C., Kraszewski S., Ramseyer C., Girardet C. Ion conductance vs. pore gating and selectivity in KcsA channel: modeling achievements and perspectives. J. of Molecular Modeling, 2007, 13, P. 699–713.</mixed-citation><mixed-citation xml:lang="en">Boiteux C., Kraszewski S., Ramseyer C., Girardet C. Ion conductance vs. pore gating and selectivity in KcsA channel: modeling achievements and perspectives. J. of Molecular Modeling, 2007, 13, P. 699–713.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Allen T.W., Kuyucak S., Chung S.H. Molecular dynamics study of the KcsA potassium channel. Biophys. Chem., 2000, 86, P. 1–14.</mixed-citation><mixed-citation xml:lang="en">Allen T.W., Kuyucak S., Chung S.H. Molecular dynamics study of the KcsA potassium channel. Biophys. Chem., 2000, 86, P. 1–14.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Compoint M., Carloni P., Ramseyer C., Girardet C. Molecular dynamics study of the KcsA channel at 2.0-angstrom resolution: stability and concerted motions within the pore. Biochimica Biophysica Acta– Biomembranes, 2004, 1661, P. 26–39.</mixed-citation><mixed-citation xml:lang="en">Compoint M., Carloni P., Ramseyer C., Girardet C. Molecular dynamics study of the KcsA channel at 2.0-angstrom resolution: stability and concerted motions within the pore. Biochimica Biophysica Acta– Biomembranes, 2004, 1661, P. 26–39.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Corry B., Allen T.W., Kuyucak S., Chung S.H. A model of calcium channels. Biochim. Biophys. Acta, 2000, 1509, P. 1–6.</mixed-citation><mixed-citation xml:lang="en">Corry B., Allen T.W., Kuyucak S., Chung S.H. A model of calcium channels. Biochim. Biophys. Acta, 2000, 1509, P. 1–6.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Berendsen H.J.C., Postma J.P.M., Van Gunsteren W.F., Dinola A., Haak J.R. Molecular dynamics with coupling to an external bath. J. Chem. Phys., 1984, 81 (8), P. 3684–3690.</mixed-citation><mixed-citation xml:lang="en">Berendsen H.J.C., Postma J.P.M., Van Gunsteren W.F., Dinola A., Haak J.R. Molecular dynamics with coupling to an external bath. J. Chem. Phys., 1984, 81 (8), P. 3684–3690.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Caldwell J.W., Kollman P.A. Structure and Properties of Neat Liquids Using Nonadditive Molecular Dynamics: Water, Methanol, and N Methylacetamide. J. Phys. Chem., 1995, 99 (16), P. 6208–6219.</mixed-citation><mixed-citation xml:lang="en">Caldwell J.W., Kollman P.A. Structure and Properties of Neat Liquids Using Nonadditive Molecular Dynamics: Water, Methanol, and N Methylacetamide. J. Phys. Chem., 1995, 99 (16), P. 6208–6219.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Gupta A., Rajan A.G., Carter E.A., Stone H.A. Ionic Layering and Overcharging in Electrical Double Layers in a Poisson-Boltzmann Model. Phys. Rev. Lett., 2020, 125, 1103.</mixed-citation><mixed-citation xml:lang="en">Gupta A., Rajan A.G., Carter E.A., Stone H.A. Ionic Layering and Overcharging in Electrical Double Layers in a Poisson-Boltzmann Model. Phys. Rev. Lett., 2020, 125, 1103.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Caldwell J.W., Kollman P.A. Structure and Properties of Neat Liquids Using Nonadditive Molecular Dynamics: Water, Methanol, and N Methylacetamide. J. Phys. Chem., 1995, 99 (16), P. 6208–6219.</mixed-citation><mixed-citation xml:lang="en">Caldwell J.W., Kollman P.A. Structure and Properties of Neat Liquids Using Nonadditive Molecular Dynamics: Water, Methanol, and N Methylacetamide. J. Phys. Chem., 1995, 99 (16), P. 6208–6219.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Hijnen H.J.M., Van Daalen J., Smit J.A.M.J. The application of the space-charge model to the permeability properties of charged microporous membranes. Colloid Interface Sci., 1985, 107, P. 525–539.</mixed-citation><mixed-citation xml:lang="en">Hijnen H.J.M., Van Daalen J., Smit J.A.M.J. The application of the space-charge model to the permeability properties of charged microporous membranes. Colloid Interface Sci., 1985, 107, P. 525–539.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Palmeri J., Blanc P., Larbot A., David P. Theory of pressure-driven transport of neutral solutes and ions in porous ceramic nanofiltration membranes. J. Membrane Sci., 1999, 160, P. 141–170.</mixed-citation><mixed-citation xml:lang="en">Palmeri J., Blanc P., Larbot A., David P. Theory of pressure-driven transport of neutral solutes and ions in porous ceramic nanofiltration membranes. J. Membrane Sci., 1999, 160, P. 141–170.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Case D.A., et al. AMBER9. University of California, San Francisco, 2006.</mixed-citation><mixed-citation xml:lang="en">Case D.A., et al. AMBER9. University of California, San Francisco, 2006.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Jungwirth P., Tobias D.J. Specific ion effects at the air/water interface. Chem. Rev., 2002, 106, P. 1259–1281.</mixed-citation><mixed-citation xml:lang="en">Jungwirth P., Tobias D.J. Specific ion effects at the air/water interface. Chem. Rev., 2002, 106, P. 1259–1281.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Chandler D. Interfaces and the driving force of hydrophobic assembly. Review Nature, 2005, 437, P. 640–647.</mixed-citation><mixed-citation xml:lang="en">Chandler D. Interfaces and the driving force of hydrophobic assembly. Review Nature, 2005, 437, P. 640–647.</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>
