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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">jamt</journal-id><journal-title-group><journal-title xml:lang="ru">Journal of Advanced Materials and Technologies</journal-title><trans-title-group xml:lang="en"><trans-title>Journal of Advanced Materials and Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2782-2192</issn><issn pub-type="epub">2782-2206</issn><publisher><publisher-name>ФГБОУ ВО «ТГТУ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17277/jamt-2025-10-02-141-153</article-id><article-id custom-type="elpub" pub-id-type="custom">jamt-74</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>Теоретическое изучение механизма взаимодействия производных триалкиламинов с поверхностью фталоцианина меди</article-title><trans-title-group xml:lang="en"><trans-title>Theoretical investigation of the interaction mechanism of trialkylamine derivatives with the copper phthalocyanine surface</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3690-4565</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дегтярев</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Degtyarev</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><sec><title>Дегтярев Андрей Александрович, кандидат технических наук, доцент</title><p>Тамбов</p></sec></bio><bio xml:lang="en"><sec><title>Andrey A. Degtyarev, Cand. Sc. (Eng.), Associate Professor</title></sec><sec><title>Tambov</title></sec></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3413-4763</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тришина</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Trishina</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><sec><title>Тришина Александра Викторовна, ассистент</title><p>Тамбов</p></sec></bio><bio xml:lang="en"><sec><title>Alexandra V. Trishina, Assistant</title></sec><sec><title>Tambov</title></sec></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2746-3545</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ростова</surname><given-names>Д. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Rostova</surname><given-names>D. P.</given-names></name></name-alternatives><bio xml:lang="ru"><sec><title>Ростова Дария Павловна, аспирант</title><p>Тамбов</p></sec></bio><bio xml:lang="en"><sec><title>Dariya P. Rostova, Postgraduate</title></sec><sec><title>Tambov</title></sec></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Тамбовский государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Tambov State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>17</day><month>02</month><year>2026</year></pub-date><volume>10</volume><issue>2</issue><fpage>141</fpage><lpage>153</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Дегтярев А.А., Тришина А.В., Ростова Д.П., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Дегтярев А.А., Тришина А.В., Ростова Д.П.</copyright-holder><copyright-holder xml:lang="en">Degtyarev A.A., Trishina A.V., Rostova D.P.</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://jamt.elpub.ru/jour/article/view/74">https://jamt.elpub.ru/jour/article/view/74</self-uri><abstract><p>Проведено теоретическое исследование механизмов сорбции трипропиламина, триизопропиламина, тригидроксипропиламинов и хлорида тетрапропиламмония на поверхности фталоцианина меди, включающей атом металла на уровне теории функционала плотности. В качестве инструментов изучения механизма взаимодействия молекулы сорбата с поверхностью использовались критические точки QTAIM, IRI и распределения зарядов в комплексах сорбат-сорбент. Определено, что триалкиламины имеют более высокую энергию связи с поверхностью, чем триалкиламиноспирты, за счет меньшей энергии взаимодействия с растворителем. Во всех случаях связь молекул сорбата с поверхностью в основном имеет электростатический и дисперсионный механизм, однако присутствие связей с перекрытием орбиталей существенно увеличивает стабильность комплексов. Комплекс с солью четвертичного аммониевого основания является самым стабильным за счет сочетания электростатического и орбитального механизмов. В комплексе с четвертичным аммониевым катионом наблюдается существенная поляризация поверхности по направлению вглубь кристалла, что может увеличивать энергию взаимодействия между молекулами в приповерхностных слоях и уменьшать растворимость модифицированных таким образом частиц в полярных растворителях. Во всех комплексах с перекрытием орбиталей со стороны поверхности участвует 3dz 2 -орбитали атома меди.</p></abstract><trans-abstract xml:lang="en"><p>The paper presents a theoretical study of the sorption mechanisms of tripropylamine, triisopropylamine, trihydroxypropylamines, and tetrapropylammonium chloride on the surface of copper phthalocyanine containing a metal atom, using density functional theory. The critical points of QTAIM, IRI, and charge distributions in sorbate-sorbent complexes were analyzed to investigate the interaction mechanism between the sorbate molecule and the surface. It was found that trialkylamines exhibit a higher binding energy with the surface than trialkylaminoalcohols due to their lower interaction energy with the solvent. In all cases, the binding of sorbate molecules to the surface is primarily driven by electrostatic and dispersion interactions; however, the presence of bonds with orbital overlap significantly enhances the stability of the complexes. The complex with the quaternary ammonium salt is the most stable due to a combination of electrostatic and orbital interactions. In the complex with a quaternary ammonium cation, significant polarization of the surface toward the crystal interior is observed, which may increase the interaction energy between molecules in the surface layers and reduce the solubility of modified particles in polar solvents. In all complexes with orbital overlap, the 3dz 2 -orbitals of the copper atom contribute from the surface side.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>фталоцианин меди</kwd><kwd>DFT</kwd><kwd>адсорбция</kwd><kwd>триалкиламины</kwd><kwd>QTAIM</kwd><kwd>IRI</kwd><kwd>модификация поверхности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>copper phthalocyanine</kwd><kwd>DFT</kwd><kwd>adsorption</kwd><kwd>trialkylamines</kwd><kwd>QTAIM</kwd><kwd>IRI</kwd><kwd>surface modification</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">Sarkodie B, Acheampong C, Asinyo B, Zhang X, et al. Characteristics of pigments, modification, and their functionalities. Color Research &amp; Application. 2019;44(3):396-410. DOI:10.1002/col.22359</mixed-citation><mixed-citation xml:lang="en">Sarkodie B, Acheampong C, Asinyo B, Zhang X, et al. Characteristics of pigments, modification, and their functionalities. Color Research &amp; Application. 2019;44(3):396-410. DOI:10.1002/col.22359</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Sun S, Ding H, Zha Y, Chen W, et al. Surface organic modification of CaCo3-TiO2 composite pigment. Minerals. 2019;9(2):112. DOI:10.3390/min9020112</mixed-citation><mixed-citation xml:lang="en">Sun S, Ding H, Zha Y, Chen W, et al. Surface organic modification of CaCo3-TiO2 composite pigment. Minerals. 2019;9(2):112. DOI:10.3390/min9020112</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Švara Fabjan E, Otoničar M, Gaberšček M, Sever Škapin A. Surface protection of an organic pigment based on a modification using a mixed-micelle system. Dyes and Pigments. 2016;127:100-109. DOI:10.1016/j.dyepig. 2015.12.016</mixed-citation><mixed-citation xml:lang="en">Švara Fabjan E, Otoničar M, Gaberšček M, Sever Škapin A. Surface protection of an organic pigment based on a modification using a mixed-micelle system. Dyes and Pigments. 2016;127:100-109. DOI:10.1016/j.dyepig. 2015.12.016</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Jadhav SA, Bongiovanni R, Marchisio DL, Fontana D, et al. Surface modification of iron oxide (Fe2O3) pigment particles with amino-functional polysiloxane for improved dispersion stability and hydrophobicity. Pigment &amp; Resin Technology. 2014;43(4):219-227. DOI:10.1108/PRT-07-2013-0057</mixed-citation><mixed-citation xml:lang="en">Jadhav SA, Bongiovanni R, Marchisio DL, Fontana D, et al. Surface modification of iron oxide (Fe2O3) pigment particles with amino-functional polysiloxane for improved dispersion stability and hydrophobicity. Pigment &amp; Resin Technology. 2014;43(4):219-227. DOI:10.1108/PRT-07-2013-0057</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Karlsson P, Palmqvist AEC, Holmberg K. Surface modification for aluminium pigment inhibition. Advances in Colloid and Interface Science. 2006;128-130:121-134. DOI:10.1016/j.cis.2006.11.010</mixed-citation><mixed-citation xml:lang="en">Karlsson P, Palmqvist AEC, Holmberg K. Surface modification for aluminium pigment inhibition. Advances in Colloid and Interface Science. 2006;128-130:121-134. DOI:10.1016/j.cis.2006.11.010</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Rostami M, Khosravi A, Attar MM. Synthesis and surface modification of Pigment Red 3 by sulfonation method for improving properties in waterborne ink. Progress in Color, Colorants and Coatings. 2017;10(1): 51-65. DOI:10.30509/pccc.2017.75714</mixed-citation><mixed-citation xml:lang="en">Rostami M, Khosravi A, Attar MM. Synthesis and surface modification of Pigment Red 3 by sulfonation method for improving properties in waterborne ink. Progress in Color, Colorants and Coatings. 2017;10(1): 51-65. DOI:10.30509/pccc.2017.75714</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Degtyarev AA, Trishina AV, Tarakanov AG. Research of the sorption activity of copper phthalocyanine. Butlerovskie Soobshcheniya = Butlerov Communications. 2018;55(7):22-30.(In Russ.)</mixed-citation><mixed-citation xml:lang="en">Degtyarev AA, Trishina AV, Tarakanov AG. Research of the sorption activity of copper phthalocyanine. Butlerovskie Soobshcheniya = Butlerov Communications. 2018;55(7):22-30.(In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Degtyarev AA, Zarapina IV, Zdereva AV. Modeling the sorption of low-molecular compounds on the surface of copper phthalocyanine by the method of density functional theory. Butlerovskie Soobshcheniya = Butlerov Communications. 2021;65(3):86-92. (In Russ.) DOI: 10.37952/ROI-jbc-01/21-65-3-86</mixed-citation><mixed-citation xml:lang="en">Degtyarev AA, Zarapina IV, Zdereva AV. Modeling the sorption of low-molecular compounds on the surface of copper phthalocyanine by the method of density functional theory. Butlerovskie Soobshcheniya = Butlerov Communications. 2021;65(3):86-92. (In Russ.) DOI: 10.37952/ROI-jbc-01/21-65-3-86</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Lambourne R, Strivens TA. Paint and surface coatings: theory and practice. Elsevier Science; 1999. 784 p.</mixed-citation><mixed-citation xml:lang="en">Lambourne R, Strivens TA. Paint and surface coatings: theory and practice. Elsevier Science; 1999. 784 p.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Degtyarev AA, Trishina AV, Dyachkova TP, Subocheva MYu, et al. Predicting the possibility of oleophilizing surfaces of copper phthalocianin on the basis of reactivity descriptors. Russian Journal of Physical Chemistry A. 2020;94(8):1694-1698. DOI:10.1134/ S0036024420080051</mixed-citation><mixed-citation xml:lang="en">Degtyarev AA, Trishina AV, Dyachkova TP, Subocheva MYu, et al. Predicting the possibility of oleophilizing surfaces of copper phthalocianin on the basis of reactivity descriptors. Russian Journal of Physical Chemistry A. 2020;94(8):1694-1698. DOI:10.1134/ S0036024420080051</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Degtyarev AA, Trishina AV, Kroviakova EI. Study of the trialkylamines adsorption on the surface of copper phthalocyanine using density functional theory methods. Journal of Advanced Materials and Technologies. 2024;9(4):286-295. DOI:10.17277/jamt. 2024.04.pp.286-295</mixed-citation><mixed-citation xml:lang="en">Degtyarev AA, Trishina AV, Kroviakova EI. Study of the trialkylamines adsorption on the surface of copper phthalocyanine using density functional theory methods. Journal of Advanced Materials and Technologies. 2024;9(4):286-295. DOI:10.17277/jamt. 2024.04.pp.286-295</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Asai S, Nakamura H, Tanabe M, Sakamoto K. Distribution and dissociation equilibria of phase-transfer catalysts, tetrabutylammonium salts. Industrial &amp; Engineering Chemistry Research. 1993;32(7):1438-1441. DOI:10.1021/ie00019a018</mixed-citation><mixed-citation xml:lang="en">Asai S, Nakamura H, Tanabe M, Sakamoto K. Distribution and dissociation equilibria of phase-transfer catalysts, tetrabutylammonium salts. Industrial &amp; Engineering Chemistry Research. 1993;32(7):1438-1441. DOI:10.1021/ie00019a018</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Zou T, Wang X, Ju H, Zhao L, et al. Controllable molecular packing motif and overlap type in organic nanomaterials for advanced optical properties. Crystals. 2018;8(1):22. DOI:10.3390/cryst8010022</mixed-citation><mixed-citation xml:lang="en">Zou T, Wang X, Ju H, Zhao L, et al. Controllable molecular packing motif and overlap type in organic nanomaterials for advanced optical properties. Crystals. 2018;8(1):22. DOI:10.3390/cryst8010022</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Mayhall NJ, Raghavachari K, Hratchian HP. ONIOM-based QM:QM electronic embedding method using Löwdin atomic charges: energies and analytic gradients. The Journal of Chemical Physics. 2010;132(11):114107. DOI:10.1063/1.3315417</mixed-citation><mixed-citation xml:lang="en">Mayhall NJ, Raghavachari K, Hratchian HP. ONIOM-based QM:QM electronic embedding method using Löwdin atomic charges: energies and analytic gradients. The Journal of Chemical Physics. 2010;132(11):114107. DOI:10.1063/1.3315417</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bannwarth C, Ehlert S, Grimme S. GFN2-XTB – an accurate and broadly parametrized self-consistent tightbinding quantum chemical method with multipole electrostatics and density-dependent dispersion contributions. Journal of Chemical Theory and Computation. 2019;15(3):1652-1671. DOI:10.1021/acs. jctc.8b01176</mixed-citation><mixed-citation xml:lang="en">Bannwarth C, Ehlert S, Grimme S. GFN2-XTB – an accurate and broadly parametrized self-consistent tightbinding quantum chemical method with multipole electrostatics and density-dependent dispersion contributions. Journal of Chemical Theory and Computation. 2019;15(3):1652-1671. DOI:10.1021/acs. jctc.8b01176</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Grimme S, Hansen A, Ehlert S, Mewes JM. R2SCAN-3C: A “swiss army knife” composite electronicstructure method. The Journal of Chemical Physics. 2021;154(6):064103. DOI:10.1063/5.0040021</mixed-citation><mixed-citation xml:lang="en">Grimme S, Hansen A, Ehlert S, Mewes JM. R2SCAN-3C: A “swiss army knife” composite electronicstructure method. The Journal of Chemical Physics. 2021;154(6):064103. DOI:10.1063/5.0040021</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Najibi A, Goerigk L. DFT-D4 counterparts of leading meta-generalized‐gradient approximation and hybrid density functionals for energetics and geometries. Journal of Computational Chemistry. 2020;41(30):25622572. DOI:10.1002/jcc.26411</mixed-citation><mixed-citation xml:lang="en">Najibi A, Goerigk L. DFT-D4 counterparts of leading meta-generalized‐gradient approximation and hybrid density functionals for energetics and geometries. Journal of Computational Chemistry. 2020;41(30):25622572. DOI:10.1002/jcc.26411</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Weigend F, Ahlrichs R. Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: design and assessment of accuracy. Physical Chemistry Chemical Physics. 2005;7(18):3297. DOI:10.1039/b508541a</mixed-citation><mixed-citation xml:lang="en">Weigend F, Ahlrichs R. Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for H to Rn: design and assessment of accuracy. Physical Chemistry Chemical Physics. 2005;7(18):3297. DOI:10.1039/b508541a</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Rappoport D, Furche F. Property-optimized gaussian basis sets for molecular response calculations. The Journal of Chemical Physics. 2010;133(13):134105. DOI:10.1063/1.3484283</mixed-citation><mixed-citation xml:lang="en">Rappoport D, Furche F. Property-optimized gaussian basis sets for molecular response calculations. The Journal of Chemical Physics. 2010;133(13):134105. DOI:10.1063/1.3484283</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Ehlert S, Stahn M, Spicher S, Grimme S. Robust and efficient implicit solvation model for fast semiempirical methods. Journal of Chemical Theory and Computation. 2021;17(7):4250-4261. DOI:10.1021/acs. jctc.1c00471</mixed-citation><mixed-citation xml:lang="en">Ehlert S, Stahn M, Spicher S, Grimme S. Robust and efficient implicit solvation model for fast semiempirical methods. Journal of Chemical Theory and Computation. 2021;17(7):4250-4261. DOI:10.1021/acs. jctc.1c00471</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Neese F. Software update: the ORCA program system – version 5.0. WIREs Computational Molecular Science. 2022;12(5):e1606. DOI:10.1002/wcms.1606</mixed-citation><mixed-citation xml:lang="en">Neese F. Software update: the ORCA program system – version 5.0. WIREs Computational Molecular Science. 2022;12(5):e1606. DOI:10.1002/wcms.1606</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Bader RFW. Atoms in molecules: a quantum theory. Oxford: Oxford University Press; 1990. 456 p. DOI:10.1093/oso/9780198551683.001.0001</mixed-citation><mixed-citation xml:lang="en">Bader RFW. Atoms in molecules: a quantum theory. Oxford: Oxford University Press; 1990. 456 p. DOI:10.1093/oso/9780198551683.001.0001</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Matta CF, Boyd RJ, eds. The quantum theory of atoms in molecules: from solid state to DNA and drug design. Wiley; 2007. 568 p. DOI:10.1002/9783527610709</mixed-citation><mixed-citation xml:lang="en">Matta CF, Boyd RJ, eds. The quantum theory of atoms in molecules: from solid state to DNA and drug design. Wiley; 2007. 568 p. DOI:10.1002/9783527610709</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Lu T, Chen Q. Interaction region indicator: a simple real space function clearly revealing both chemical bonds and weak interactions. Chemistry – Methods. 2021;1(5):231-239. DOI:10.1002/cmtd.202100007</mixed-citation><mixed-citation xml:lang="en">Lu T, Chen Q. Interaction region indicator: a simple real space function clearly revealing both chemical bonds and weak interactions. Chemistry – Methods. 2021;1(5):231-239. DOI:10.1002/cmtd.202100007</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Bultinck P, Van Alsenoy C, Ayers PW, CarbóDorca R. Critical analysis and extension of the Hirshfeld atoms in molecules. The Journal of Chemical Physics. 2007;126(14):144111. DOI:10.1063/1.2715563</mixed-citation><mixed-citation xml:lang="en">Bultinck P, Van Alsenoy C, Ayers PW, CarbóDorca R. Critical analysis and extension of the Hirshfeld atoms in molecules. The Journal of Chemical Physics. 2007;126(14):144111. DOI:10.1063/1.2715563</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Breneman CM, Wiberg KB. Determining atomcentered monopoles from molecular electrostatic potentials. The need for high sampling density in formamide conformational analysis. Journal of Computational Chemistry. 1990;11(3):361-373. DOI:10.1002/jcc.540110311</mixed-citation><mixed-citation xml:lang="en">Breneman CM, Wiberg KB. Determining atomcentered monopoles from molecular electrostatic potentials. The need for high sampling density in formamide conformational analysis. Journal of Computational Chemistry. 1990;11(3):361-373. DOI:10.1002/jcc.540110311</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Lu T, Chen F. Multiwfn: a multifunctional wavefunction analyzer. Journal of Computational Chemistry. 2012;33(5):580-592. DOI:10.1002/jcc.22885</mixed-citation><mixed-citation xml:lang="en">Lu T, Chen F. Multiwfn: a multifunctional wavefunction analyzer. Journal of Computational Chemistry. 2012;33(5):580-592. DOI:10.1002/jcc.22885</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Becke AD, Edgecombe KE. A simple measure of electron localization in atomic and molecular systems. The Journal of Chemical Physics. 1990;92(9):5397–5403. DOI: 10.1063/1.458517</mixed-citation><mixed-citation xml:lang="en">Becke AD, Edgecombe KE. A simple measure of electron localization in atomic and molecular systems. The Journal of Chemical Physics. 1990;92(9):5397–5403. DOI: 10.1063/1.458517</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Jacobsen H. Localized-orbital locator (LOL) profiles of chemical bonding. Canadian Journal of Chemistry. 2008;86(7):695–702. DOI: 10.1139/v08-052</mixed-citation><mixed-citation xml:lang="en">Jacobsen H. Localized-orbital locator (LOL) profiles of chemical bonding. Canadian Journal of Chemistry. 2008;86(7):695–702. DOI: 10.1139/v08-052</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Emamian S, Lu T, Kruse H, Emamian H. Exploring nature and predicting strength of hydrogen bonds: a correlation analysis between atoms-in-molecules descriptors, binding energies, and energy components of symmetry-adapted perturbation theory. Journal of Computational Chemistry. 2019;40(32):2868-2881. DOI:10.1002/jcc.26068</mixed-citation><mixed-citation xml:lang="en">Emamian S, Lu T, Kruse H, Emamian H. Exploring nature and predicting strength of hydrogen bonds: a correlation analysis between atoms-in-molecules descriptors, binding energies, and energy components of symmetry-adapted perturbation theory. Journal of Computational Chemistry. 2019;40(32):2868-2881. DOI:10.1002/jcc.26068</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Parthasarathi R, Subramanian V, Sathyamurthy N. Hydrogen bonding without borders: an atoms-in-molecules perspective. The Journal of Physical Chemistry A. 2006;110(10):3349-3351. DOI:10.1021/jp060571z</mixed-citation><mixed-citation xml:lang="en">Parthasarathi R, Subramanian V, Sathyamurthy N. Hydrogen bonding without borders: an atoms-in-molecules perspective. The Journal of Physical Chemistry A. 2006;110(10):3349-3351. DOI:10.1021/jp060571z</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Shahi A, Arunan E. Hydrogen bonding, halogen bonding and lithium bonding: An atoms in molecules and natural bond orbital perspective towards conservation of total bond order, interand intra-molecular bonding. Physical Chemistry Chemical Physics. 2014;16(42):2293522952. DOI:10.1039/C4CP02585G</mixed-citation><mixed-citation xml:lang="en">Shahi A, Arunan E. Hydrogen bonding, halogen bonding and lithium bonding: An atoms in molecules and natural bond orbital perspective towards conservation of total bond order, interand intra-molecular bonding. Physical Chemistry Chemical Physics. 2014;16(42):2293522952. DOI:10.1039/C4CP02585G</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Das A, Arunan E. Unified classification of noncovalent bonds formed by main group elements: a bridge to chemical bonding. Physical Chemistry Chemical Physics. 2023;25(34):22583-22594. DOI:10.1039/ D3CP00370A</mixed-citation><mixed-citation xml:lang="en">Das A, Arunan E. Unified classification of noncovalent bonds formed by main group elements: a bridge to chemical bonding. Physical Chemistry Chemical Physics. 2023;25(34):22583-22594. DOI:10.1039/ D3CP00370A</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Pipek J, Mezey PG. A fast intrinsic localization procedure applicable for ab initio and semiempirical linear combination of atomic orbital wave functions. The Journal of Chemical Physics. 1989;90(9):4916-4926. DOI:10.1063/ 1.456588</mixed-citation><mixed-citation xml:lang="en">Pipek J, Mezey PG. A fast intrinsic localization procedure applicable for ab initio and semiempirical linear combination of atomic orbital wave functions. The Journal of Chemical Physics. 1989;90(9):4916-4926. DOI:10.1063/ 1.456588</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Lehtola S, Jónsson H. Pipek-mezey orbital localization using various partial charge estimates. Journal of Chemical Theory and Computation. 2014;10(2):642649. DOI:10.1021/ct401016x</mixed-citation><mixed-citation xml:lang="en">Lehtola S, Jónsson H. Pipek-mezey orbital localization using various partial charge estimates. Journal of Chemical Theory and Computation. 2014;10(2):642649. DOI:10.1021/ct401016x</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Humphrey W, Dalke A, Schulten K. VMD: visual molecular dynamics. Journal of Molecular Graphics. 1996;14(1):33-38. DOI:10.1016/0263-7855(96)00018-5</mixed-citation><mixed-citation xml:lang="en">Humphrey W, Dalke A, Schulten K. VMD: visual molecular dynamics. Journal of Molecular Graphics. 1996;14(1):33-38. DOI:10.1016/0263-7855(96)00018-5</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>
