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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">10.17586/2220-8054-2021-12-5-623-629</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-544</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>CHEMISTRY AND MATERIAL SCIENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ХИМИЯ И МАТЕРИАЛОВЕДЕНИЕ</subject></subj-group></article-categories><title-group><article-title>The influence of edge specific surface energy on the direction of hydrosilicate layers scrolling</article-title><trans-title-group xml:lang="ru"><trans-title>Влияние удельной поверхностной энергии края на направление скручивания гидросиликатных слоев</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>Krasilin</surname><given-names>A. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Krasilin</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Politekhnicheskaya 26, St.-Petersburg, 194021</p></bio><email xlink:type="simple">ikrasilin@mail.ioffe.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">Ioffe Institute<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>05</day><month>08</month><year>2025</year></pub-date><volume>12</volume><issue>5</issue><fpage>623</fpage><lpage>629</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Krasilin A.A., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Krasilin A.A.</copyright-holder><copyright-holder xml:lang="en">Krasilin A.A.</copyright-holder><license 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/544">https://nanojournal.ifmo.ru/jour/article/view/544</self-uri><abstract><p>The present study reports on energy modeling of morphological features of hydrosilicate nanoscrolls with chrysotile structure. It considers a possibility of scrolling direction change driven by difference in speciﬁc surface energies on the hydrosilicate layer edges. Speciﬁc surface energy estimation together with energy modeling of the scrolling process reveal several directions, which are preferable in comparison to the [<xref ref-type="bibr" rid="cit010">010</xref>] or [<xref ref-type="bibr" rid="cit100">100</xref>] directions of scrolling. The results obtained may help to better understand correlation between morphology, structural features, and mechanical behavior of hydrosilicate nanoscrolls.</p></abstract><trans-abstract xml:lang="ru"><p>В работе представлено энергетическое моделирование морфологических особенностей гидросиликатных наносвитков со структурой хризотила. Учитывается возможность изменения направления закручивания за счет разности удельных поверхностных энергий на краях гидросиликатного слоя. Оценка удельной поверхностной энергии совместно с энергетическим моделированием процесса прокрутки позволяет выявить несколько направлений, которые являются предпочтительными по сравнению с направлениями прокрутки [<xref ref-type="bibr" rid="cit010">010</xref>] или [<xref ref-type="bibr" rid="cit100">100</xref>]. Полученные результаты могут помочь лучше понять взаимосвязь между морфологией, структурными особенностями и механическим поведением гидросиликатных наносвитков.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>неорганические нанотрубки</kwd><kwd>моделирование</kwd><kwd>филлосиликат</kwd><kwd>морфология</kwd></kwd-group><kwd-group xml:lang="en"><kwd>inorganic nanotube</kwd><kwd>modeling</kwd><kwd>phyllosilicate</kwd><kwd>morphology</kwd></kwd-group><funding-group xml:lang="en"><funding-statement>The research was supported by the President of the Russian Federation grant MK-1962.2021.1.3. The author thanks Dr. A. V. Ankudinov, Dr. A. A. Levin, and Prof. V. V. Gusarov for fruitful discussions.</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">Krasilin A.A., Khrapova E.K., Maslennikova T.P. Cation doping approach for nanotubular hydrosilicates curvature control and related applications. Crystals, 2020, 10 (8), 654.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A., Khrapova E.K., Maslennikova T.P. Cation doping approach for nanotubular hydrosilicates curvature control and related applications. Crystals, 2020, 10 (8), 654.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Shaﬁa E., Esposito S., et al. Al/Fe isomorphic substitution versus Fe2O3 clusters formation in Fe-doped aluminosilicate nanotubes (imogolite). J. Nanopart. Res., 2015, 17 (8), 336.</mixed-citation><mixed-citation xml:lang="en">Shaﬁa E., Esposito S., et al. Al/Fe isomorphic substitution versus Fe2O3 clusters formation in Fe-doped aluminosilicate nanotubes (imogolite). J. Nanopart. Res., 2015, 17 (8), 336.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zsirka B., T´aborosi A., et al. Surface characterization of mechanochemically modiﬁed exfoliated halloysite nanoscrolls. Langmuir, 2017, 33 (14), P. 3534–3547.</mixed-citation><mixed-citation xml:lang="en">Zsirka B., T´aborosi A., et al. Surface characterization of mechanochemically modiﬁed exfoliated halloysite nanoscrolls. Langmuir, 2017, 33 (14), P. 3534–3547.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Lesci I.G., Balducci G., et al. Surface features and thermal stability of mesoporous Fe doped geoinspired synthetic chrysotile nanotubes. Micropor. Mesopor. Mat., 2014, 197, P. 8–16.</mixed-citation><mixed-citation xml:lang="en">Lesci I.G., Balducci G., et al. Surface features and thermal stability of mesoporous Fe doped geoinspired synthetic chrysotile nanotubes. Micropor. Mesopor. Mat., 2014, 197, P. 8–16.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Krasilin A.A., Danilovich D.P., et al. Crystal violet adsorption by oppositely twisted heat-treated halloysite and pecoraite nanoscrolls. Appl. Clay Sci., 2019, 173, P. 1–11.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A., Danilovich D.P., et al. Crystal violet adsorption by oppositely twisted heat-treated halloysite and pecoraite nanoscrolls. Appl. Clay Sci., 2019, 173, P. 1–11.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Guimar~aes L., Enyashin A.N., et al. Imogolite nanotubes: stability, electronic, and mechanical properties. ACS Nano, 2007, 1 (4), P. 362–368.</mixed-citation><mixed-citation xml:lang="en">Guimar~aes L., Enyashin A.N., et al. Imogolite nanotubes: stability, electronic, and mechanical properties. ACS Nano, 2007, 1 (4), P. 362–368.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Guimar~aes L., Enyashin A.N., Seifert G., Duarte H.A. Structural, electronic, and mechanical properties of single-walled halloysite nanotube models. J. Phys. Chem. C, 2010, 114 (26), P. 11358–11363.</mixed-citation><mixed-citation xml:lang="en">Guimar~aes L., Enyashin A.N., Seifert G., Duarte H.A. Structural, electronic, and mechanical properties of single-walled halloysite nanotube models. J. Phys. Chem. C, 2010, 114 (26), P. 11358–11363.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Lecouvet B., Horion J., et al. Elastic modulus of halloysite nanotubes. Nanotechnology, 2013, 24 (10), 105704.</mixed-citation><mixed-citation xml:lang="en">Lecouvet B., Horion J., et al. Elastic modulus of halloysite nanotubes. Nanotechnology, 2013, 24 (10), 105704.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Kumzerov Y.A., Parfen’eva L.S., et al. Thermal and acoustic properties of chrysotile asbestos. Phys. Solid State, 2005, 47 (2), P. 370–373.</mixed-citation><mixed-citation xml:lang="en">Kumzerov Y.A., Parfen’eva L.S., et al. Thermal and acoustic properties of chrysotile asbestos. Phys. Solid State, 2005, 47 (2), P. 370–373.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Piperno S., Kaplan-Ashiri I., et al. Characterization of geoinspired and synthetic chrysotile nanotubes by atomic force microscopy and transmission electron microscopy. Adv. Funct. Mater., 2007, 17 (16), P. 3332–3338.</mixed-citation><mixed-citation xml:lang="en">Piperno S., Kaplan-Ashiri I., et al. Characterization of geoinspired and synthetic chrysotile nanotubes by atomic force microscopy and transmission electron microscopy. Adv. Funct. Mater., 2007, 17 (16), P. 3332–3338.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Khalisov M.M., Lebedev V.A., et al. Young’s modulus of phyllosilicate nanoscrolls measured by the AFM and by the in-situ TEM indentation. Nanosystems: Phys. Chem. Math., 2021, 12 (1), P. 118–127.</mixed-citation><mixed-citation xml:lang="en">Khalisov M.M., Lebedev V.A., et al. Young’s modulus of phyllosilicate nanoscrolls measured by the AFM and by the in-situ TEM indentation. Nanosystems: Phys. Chem. Math., 2021, 12 (1), P. 118–127.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Lisuzzo L., Cavallaro G., et al. Colloidal stability of halloysite clay nanotubes. Ceram. Int., 2019, 45 (2), P. 2858–2865.</mixed-citation><mixed-citation xml:lang="en">Lisuzzo L., Cavallaro G., et al. Colloidal stability of halloysite clay nanotubes. Ceram. Int., 2019, 45 (2), P. 2858–2865.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Bonelli B., Bottero I., et al. IR spectroscopic and catalytic characterization of the acidity of imogolite-based systems. J. Catal., 2009, 264 (1), P. 15–30.</mixed-citation><mixed-citation xml:lang="en">Bonelli B., Bottero I., et al. IR spectroscopic and catalytic characterization of the acidity of imogolite-based systems. J. Catal., 2009, 264 (1), P. 15–30.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Mahajan A., Gupta P. Halloysite nanotubes based heterogeneous solid acid catalysts. New J. Chem., 2020, 44 (30), P. 12897–12908.</mixed-citation><mixed-citation xml:lang="en">Mahajan A., Gupta P. Halloysite nanotubes based heterogeneous solid acid catalysts. New J. Chem., 2020, 44 (30), P. 12897–12908.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Bian Z., Kawi S. Preparation, characterization and catalytic application of phyllosilicate: A review. Catal. Today, 2020, 339, P. 3–23.</mixed-citation><mixed-citation xml:lang="en">Bian Z., Kawi S. Preparation, characterization and catalytic application of phyllosilicate: A review. Catal. Today, 2020, 339, P. 3–23.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Khrapova E.K., Ugolkov V.L., et al. Thermal behavior of Mg–Ni-phyllosilicate nanoscrolls and performance of the resulting composites in hexene-1 and acetone hydrogenation. ChemNanoMat, 2021, 7 (3), P. 257–269.</mixed-citation><mixed-citation xml:lang="en">Khrapova E.K., Ugolkov V.L., et al. Thermal behavior of Mg–Ni-phyllosilicate nanoscrolls and performance of the resulting composites in hexene-1 and acetone hydrogenation. ChemNanoMat, 2021, 7 (3), P. 257–269.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Monet G., Paineau E., et al. Solid wetting-layers in inorganic nano-reactors: the water in imogolite nanotube case. Nanoscale Adv., 2020, 2 (5), P. 1869–1877.</mixed-citation><mixed-citation xml:lang="en">Monet G., Paineau E., et al. Solid wetting-layers in inorganic nano-reactors: the water in imogolite nanotube case. Nanoscale Adv., 2020, 2 (5), P. 1869–1877.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Pigni´e M.-C., Shcherbakov V., et al. Conﬁned water radiolysis in aluminosilicate nanotubes: the importance of charge separation effects. Nanoscale, 2021, 13 (5), P. 3092–3105.</mixed-citation><mixed-citation xml:lang="en">Pigni´e M.-C., Shcherbakov V., et al. Conﬁned water radiolysis in aluminosilicate nanotubes: the importance of charge separation effects. Nanoscale, 2021, 13 (5), P. 3092–3105.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Lvov Y., Wang W., Zhang L., Fakhrullin R. Halloysite clay nanotubes for loading and sustained release of functional compounds. Adv. Mater., 2016, 28 (6), P. 1227–1250.</mixed-citation><mixed-citation xml:lang="en">Lvov Y., Wang W., Zhang L., Fakhrullin R. Halloysite clay nanotubes for loading and sustained release of functional compounds. Adv. Mater., 2016, 28 (6), P. 1227–1250.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Cavallaro G., Milioto S., Lazzara G. Halloysite nanotubes: interfacial properties and applications in cultural heritage. Langmuir, 2020, 36 (14), P. 3677–3689.</mixed-citation><mixed-citation xml:lang="en">Cavallaro G., Milioto S., Lazzara G. Halloysite nanotubes: interfacial properties and applications in cultural heritage. Langmuir, 2020, 36 (14), P. 3677–3689.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Maslennikova T.P., Korytkova E.N. Aqueous solutions of cesium salts and cesium hydroxide in hydrosilicate nanotubes of the Mg3Si2O5(OH)4 composition. Glass Phys. Chem., 2010, 36 (3), P. 345–350.</mixed-citation><mixed-citation xml:lang="en">Maslennikova T.P., Korytkova E.N. Aqueous solutions of cesium salts and cesium hydroxide in hydrosilicate nanotubes of the Mg3Si2O5(OH)4 composition. Glass Phys. Chem., 2010, 36 (3), P. 345–350.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Kononova S.V., Korytkova E.N., et al. Polymer-inorganic nanocomposites based on aromatic polyamidoimides effective in the processes of liquids separation. Russ. J. Gen. Chem., 2010, 80 (6), P. 1136–1142.</mixed-citation><mixed-citation xml:lang="en">Kononova S.V., Korytkova E.N., et al. Polymer-inorganic nanocomposites based on aromatic polyamidoimides effective in the processes of liquids separation. Russ. J. Gen. Chem., 2010, 80 (6), P. 1136–1142.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Lvov Y., Abdullayev E. Functional polymer–clay nanotube composites with sustained release of chemical agents. Prog. Polym. Sci., 2013, 38 (10–11), P. 1690–1719.</mixed-citation><mixed-citation xml:lang="en">Lvov Y., Abdullayev E. Functional polymer–clay nanotube composites with sustained release of chemical agents. Prog. Polym. Sci., 2013, 38 (10–11), P. 1690–1719.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Khrapova E.K., Ezhov I.S., et al. Nanotubular nickel hydrosilicate and its thermal annealing products as anode materials for lithium ion batteries. Inorg. Mater., 2020, 56 (12), P. 1248–1257,</mixed-citation><mixed-citation xml:lang="en">Khrapova E.K., Ezhov I.S., et al. Nanotubular nickel hydrosilicate and its thermal annealing products as anode materials for lithium ion batteries. Inorg. Mater., 2020, 56 (12), P. 1248–1257,</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Yada K. Study of microstructure of chrysotile asbestos by high-resolution electron microscopy. Acta Crystallogr. A, 1971, 27 (6), P. 659–664.</mixed-citation><mixed-citation xml:lang="en">Yada K. Study of microstructure of chrysotile asbestos by high-resolution electron microscopy. Acta Crystallogr. A, 1971, 27 (6), P. 659–664.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Wicks F.J., Whittaker E.J.W. A reappraisal of the structures of the serpentine minerals. Can. Mineral., 1975, 13 (3), P. 227–243.</mixed-citation><mixed-citation xml:lang="en">Wicks F.J., Whittaker E.J.W. A reappraisal of the structures of the serpentine minerals. Can. Mineral., 1975, 13 (3), P. 227–243.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Falini G., Foresti E., et al. Tubular-shaped stoichiometric chrysotile nanocrystals. Chem. Eur. J., 2004, 10 (12), P. 3043–3049.</mixed-citation><mixed-citation xml:lang="en">Falini G., Foresti E., et al. Tubular-shaped stoichiometric chrysotile nanocrystals. Chem. Eur. J., 2004, 10 (12), P. 3043–3049.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Drits V.A., Sakharov B.A., Hillier S. Phase and structural features of tubular halloysite (7 ˚A). Clay Miner., 2018, 53 (4), P. 691–720.</mixed-citation><mixed-citation xml:lang="en">Drits V.A., Sakharov B.A., Hillier S. Phase and structural features of tubular halloysite (7 ˚A). Clay Miner., 2018, 53 (4), P. 691–720.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Niu J., Qiang Y., et al. Morphology and orientation of curling of kaolinite layer in hydrate. Appl. Clay Sci., 2014, 101, P. 215–222.</mixed-citation><mixed-citation xml:lang="en">Niu J., Qiang Y., et al. Morphology and orientation of curling of kaolinite layer in hydrate. Appl. Clay Sci., 2014, 101, P. 215–222.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Khalitov Z., Khadiev A., Pashin D. Electron diffraction patterns from scroll nanotubes: interpretation peculiarities. J. Appl. Crystallogr., 2015, 48 (1), P. 29–36.</mixed-citation><mixed-citation xml:lang="en">Khalitov Z., Khadiev A., Pashin D. Electron diffraction patterns from scroll nanotubes: interpretation peculiarities. J. Appl. Crystallogr., 2015, 48 (1), P. 29–36.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Mak´o ´E., D´odony I., et al. Nanoscale structural and morphological features of kaolinite nanoscrolls. Appl. Clay Sci., 2020, 198, 105800.</mixed-citation><mixed-citation xml:lang="en">Mak´o ´E., D´odony I., et al. Nanoscale structural and morphological features of kaolinite nanoscrolls. Appl. Clay Sci., 2020, 198, 105800.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Korytkova E.N., Maslov A.V., et al. Formation of Mg3Si2O5(OH)4 nanotubes under hydrothermal conditions. Glass Phys. Chem., 2004, 30 (1), P. 51–55.</mixed-citation><mixed-citation xml:lang="en">Korytkova E.N., Maslov A.V., et al. Formation of Mg3Si2O5(OH)4 nanotubes under hydrothermal conditions. Glass Phys. Chem., 2004, 30 (1), P. 51–55.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Krasilin A.A., Suprun A.M., Nevedomsky V.N., Gusarov V.V. Formation of conical (Mg,Ni)3Si2O5(OH)4 nanoscrolls. Dokl. Phys. Chem., 2015, 460 (2), P. 42–44.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A., Suprun A.M., Nevedomsky V.N., Gusarov V.V. Formation of conical (Mg,Ni)3Si2O5(OH)4 nanoscrolls. Dokl. Phys. Chem., 2015, 460 (2), P. 42–44.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Krasilin A.A., Gusarov V.V. Redistribution of Mg and Ni cations in crystal lattice of conical nanotube with chrysotile structure. Nanosystems: Phys. Chem. Math., 2017, 8 (5), P. 620–627.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A., Gusarov V.V. Redistribution of Mg and Ni cations in crystal lattice of conical nanotube with chrysotile structure. Nanosystems: Phys. Chem. Math., 2017, 8 (5), P. 620–627.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Bloise A., Barrese E., Apollaro C. Hydrothermal alteration of Ti-doped forsterite to chrysotile and characterization of the resulting chrysotile ﬁbers. Neues Jb. Miner. Abh., 2009, 185 (3), P. 297–304.</mixed-citation><mixed-citation xml:lang="en">Bloise A., Barrese E., Apollaro C. Hydrothermal alteration of Ti-doped forsterite to chrysotile and characterization of the resulting chrysotile ﬁbers. Neues Jb. Miner. Abh., 2009, 185 (3), P. 297–304.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Bloise A., Belluso E., et al. Hydrothermal alteration of glass to chrysotile. J. Am. Ceram. Soc., 2012, 95 (10), P. 3050–3055.</mixed-citation><mixed-citation xml:lang="en">Bloise A., Belluso E., et al. Hydrothermal alteration of glass to chrysotile. J. Am. Ceram. Soc., 2012, 95 (10), P. 3050–3055.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Singh B. Why does halloysite roll? – A new model. Clay. Clay Miner., 1996, 44 (2), P. 191–196.</mixed-citation><mixed-citation xml:lang="en">Singh B. Why does halloysite roll? – A new model. Clay. Clay Miner., 1996, 44 (2), P. 191–196.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Perbost R., Amouric M., Olives J. Inﬂuence of cation size on the curvature of serpentine minerals: HRTEM-AEM study and elastic theory. Clay. Clay Miner., 2003, 51 (4), P. 430–438.</mixed-citation><mixed-citation xml:lang="en">Perbost R., Amouric M., Olives J. Inﬂuence of cation size on the curvature of serpentine minerals: HRTEM-AEM study and elastic theory. Clay. Clay Miner., 2003, 51 (4), P. 430–438.</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Chivilikhin S.A., Popov I.Y., Gusarov V.V. Dynamics of nanotube twisting in a viscous ﬂuid. Dokl. Phys., 2007, 52 (1), P. 60–62.</mixed-citation><mixed-citation xml:lang="en">Chivilikhin S.A., Popov I.Y., Gusarov V.V. Dynamics of nanotube twisting in a viscous ﬂuid. Dokl. Phys., 2007, 52 (1), P. 60–62.</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Thill A., Guiose B., et al. How the diameter and structure of (OH)3Al2O3SixGe1−xOH imogolite nanotubes are controlled by an adhesion versus curvature competition. J. Phys. Chem. C, 2012, 116 (51), P. 26841–26849.</mixed-citation><mixed-citation xml:lang="en">Thill A., Guiose B., et al. How the diameter and structure of (OH)3Al2O3SixGe1−xOH imogolite nanotubes are controlled by an adhesion versus curvature competition. J. Phys. Chem. C, 2012, 116 (51), P. 26841–26849.</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">Krasilin A.A., Nevedomsky V.N., Gusarov V.V. Comparative energy modeling of multiwalled Mg3Si2O5(OH)4 and Ni3Si2O5(OH)4 nanoscroll growth. J. Phys. Chem. C, 2017, 121 (22), P. 12495–12502.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A., Nevedomsky V.N., Gusarov V.V. Comparative energy modeling of multiwalled Mg3Si2O5(OH)4 and Ni3Si2O5(OH)4 nanoscroll growth. J. Phys. Chem. C, 2017, 121 (22), P. 12495–12502.</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">Krasilin A.A. Energy modeling of competition between tubular and platy morphologies of chrysotile and halloysite layers. Clay. Clay Miner., 2020, 68 (5), P. 436–445.</mixed-citation><mixed-citation xml:lang="en">Krasilin A.A. Energy modeling of competition between tubular and platy morphologies of chrysotile and halloysite layers. Clay. Clay Miner., 2020, 68 (5), P. 436–445.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Landau L.D., Pitaevskii L.P., Kosevich A.M., Lifshitz E.M. Theory of Elasticity, Third Edition: Volume 7 (Course of Theoretical Physics), Butterworth-Heinemann, Oxford, 1986, 195 p.</mixed-citation><mixed-citation xml:lang="en">Landau L.D., Pitaevskii L.P., Kosevich A.M., Lifshitz E.M. Theory of Elasticity, Third Edition: Volume 7 (Course of Theoretical Physics), Butterworth-Heinemann, Oxford, 1986, 195 p.</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Lourenc¸o M.P., de Oliveira C., et al. Structural, electronic, and mechanical properties of single-walled chrysotile nanotube models. J. Phys. Chem. C, 2012, 116 (17), P. 9405–9411.</mixed-citation><mixed-citation xml:lang="en">Lourenc¸o M.P., de Oliveira C., et al. Structural, electronic, and mechanical properties of single-walled chrysotile nanotube models. J. Phys. Chem. C, 2012, 116 (17), P. 9405–9411.</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">Cressey B.A., Whittaker E.J.W. Five-fold symmetry in chrysotile asbestos revealed by transmission electron microscopy. Mineral. Mag., 1993, 57 (389), P. 729–732.</mixed-citation><mixed-citation xml:lang="en">Cressey B.A., Whittaker E.J.W. Five-fold symmetry in chrysotile asbestos revealed by transmission electron microscopy. Mineral. Mag., 1993, 57 (389), P. 729–732.</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Demichelis R., De La Pierre M., et al. Serpentine polymorphism: a quantitative insight from ﬁrst-principles calculations. CrystEngComm, 2016, 18 (23), P. 4412–4419.</mixed-citation><mixed-citation xml:lang="en">Demichelis R., De La Pierre M., et al. Serpentine polymorphism: a quantitative insight from ﬁrst-principles calculations. CrystEngComm, 2016, 18 (23), P. 4412–4419.</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">Churakov S.V., Iannuzzi M., Parrinello M. Ab initio study of dehydroxylation?carbonation reaction on brucite surface. J. Phys. Chem. B, 2004, 108 (31), P. 11567–11574.</mixed-citation><mixed-citation xml:lang="en">Churakov S.V., Iannuzzi M., Parrinello M. Ab initio study of dehydroxylation?carbonation reaction on brucite surface. J. Phys. Chem. B, 2004, 108 (31), P. 11567–11574.</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Shchipalov Y.K. Surface energy of crystalline and vitreous silica. Glass Ceram., 2000, 57 (11–12), P. 374–377.</mixed-citation><mixed-citation xml:lang="en">Shchipalov Y.K. Surface energy of crystalline and vitreous silica. Glass Ceram., 2000, 57 (11–12), P. 374–377.</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">Cotton D.H., Jenkins D.R. Bond-dissociation energy of gaseous magnesium oxide. T. Faraday Soc., 1969, 65, P. 376–379.</mixed-citation><mixed-citation xml:lang="en">Cotton D.H., Jenkins D.R. Bond-dissociation energy of gaseous magnesium oxide. T. Faraday Soc., 1969, 65, P. 376–379.</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Momma K., Izumi F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr., 2011, 44 (6), P. 1272–1276.</mixed-citation><mixed-citation xml:lang="en">Momma K., Izumi F. VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. J. Appl. Crystallogr., 2011, 44 (6), P. 1272–1276.</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Parﬁtt R.L. Allophane and imogolite: role in soil biogeochemical processes. Clay Miner., 2009, 44 (1), P. 135–155.</mixed-citation><mixed-citation xml:lang="en">Parﬁtt R.L. Allophane and imogolite: role in soil biogeochemical processes. Clay Miner., 2009, 44 (1), P. 135–155.</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Du P., Yuan P., et al. Insights into the formation mechanism of imogolite from a full-range observation of its sol-gel growth. Appl. Clay Sci., 2017, 150, P. 115–124.</mixed-citation><mixed-citation xml:lang="en">Du P., Yuan P., et al. Insights into the formation mechanism of imogolite from a full-range observation of its sol-gel growth. Appl. Clay Sci., 2017, 150, P. 115–124.</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">Thill A., Picot P., Belloni L. A mechanism for the sphere/tube shape transition of nanoparticles with an imogolite local structure (imogolite and allophane). Appl. Clay Sci., 2017, 141, P. 308–315.</mixed-citation><mixed-citation xml:lang="en">Thill A., Picot P., Belloni L. A mechanism for the sphere/tube shape transition of nanoparticles with an imogolite local structure (imogolite and allophane). Appl. Clay Sci., 2017, 141, P. 308–315.</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Khadiev A., Khalitov Z. Quantitative theory of diffraction by cylindrical scroll nanotubes. Acta Crystallogr. A, 2018, 74 (3), P. 233–244.</mixed-citation><mixed-citation xml:lang="en">Khadiev A., Khalitov Z. Quantitative theory of diffraction by cylindrical scroll nanotubes. Acta Crystallogr. A, 2018, 74 (3), P. 233–244.</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>
