<?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">10.17586/2220-8054-2025-16-6-763-769</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1615</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>Defective aluminum nitride monolayer as electrode material for supercapacitor applications: a DFT study</article-title><trans-title-group xml:lang="ru"><trans-title>Дефектный монослой нитрида алюминия в качестве электродного материала для суперконденсаторов: исследование методом DFT</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>Ахмад</surname><given-names>Ш.</given-names></name><name name-style="western" xml:lang="en"><surname>Ahmad</surname><given-names>Shamsuddin</given-names></name></name-alternatives><bio xml:lang="ru"><p>Шамсуддин Ахмад</p></bio><bio xml:lang="en"><p>Shamsuddin Ahmad – Department of Physics</p><p>Bihar-841226</p></bio><email xlink:type="simple">sahmadzaic@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хаке</surname><given-names>Мд. Махфузул</given-names></name><name name-style="western" xml:lang="en"><surname>Haque</surname><given-names>Md. Mahfoozul</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мд. Махфузул Хаке</p></bio><bio xml:lang="en"><p>Md. Mahfoozul Haque – Department of Physics</p><p>Bihar-812007</p></bio><email xlink:type="simple">mahfooz.haque@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аббас</surname><given-names>З.</given-names></name><name name-style="western" xml:lang="en"><surname>Abbas</surname><given-names>Zaheer</given-names></name></name-alternatives><bio xml:lang="ru"><p>Захир Аббас</p></bio><bio xml:lang="en"><p>Zaheer Abbas – Department of Science and Humanities</p><p>Jehanabad, Bihar-804407</p></bio><email xlink:type="simple">zaheerid@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9769-582X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Хан</surname><given-names>Мд. Шахзад</given-names></name><name name-style="western" xml:lang="en"><surname>Khan</surname><given-names>Md. Shahzad</given-names></name></name-alternatives><bio xml:lang="ru"><p>Мд. Шахзад Хан</p></bio><bio xml:lang="en"><p>Md. Shahzad Khan – Department of Physics</p><p>Bihar-841226</p></bio><email xlink:type="simple">kshahzad001@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Z. A. Islamia P. G. College Siwan</institution><country>India</country></aff><aff xml:lang="en" id="aff-2"><institution>T. M. Bhagalpur University</institution><country>India</country></aff><aff xml:lang="en" id="aff-3"><institution>Government Engineering College</institution><country>India</country></aff><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>06</day><month>01</month><year>2026</year></pub-date><volume>16</volume><issue>6</issue><fpage>763</fpage><lpage>769</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ahmad S., Haque M., Abbas Z., Khan M., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Ахмад Ш., Хаке М., Аббас З., Хан М.</copyright-holder><copyright-holder xml:lang="en">Ahmad S., Haque M., Abbas Z., Khan 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/1615">https://nanojournal.ifmo.ru/jour/article/view/1615</self-uri><abstract><p>This paper analyzes the quantum capacitance properties of aluminum nitride nanosheets (AlNNS) with defects focusing on their potential use in supercapacitors. We validated the structural stability of the primitive cell through cohesive energy calculations and phonon spectrum analysis. Our findings indicate that monolayers containing aluminum (Al), nitrogen (N), or with Al–N deficiencies exhibit p-type/n-type or wide bandgap semiconducting state. Calculations of defect formation energy indicate that N-deficient AlNNS is the least favorable option. The presence of under-coordinated atoms near the defect leads to the emergence of new impurity state in the forbidden energy bad gap region. This prompted us for a detailed examination of their quantum capacitance, which is heavily influenced by the density of states around the Fermi energy. Our study reveals that Al-deficient AlNNS achieves a maximum quantum capacitance (CQMax) of 690 µF/cm2 in the positively biased region, making it a suitable candidate for anodic material in supercapacitor applications. In comparison, the nitrogen-deficient AlNNS reaches a CQMax of 313 µF/cm2 and a maximum surface charge capacity (QMax) of −91 µC/cm2 , highlighting its potential as a cathodic material. The Al-N-deficient AlNNS shows intermediate behavior with prominent quantum capacitance peaks in both biased regions, offering additional flexibility for potential applications.</p></abstract><trans-abstract xml:lang="ru"><p>В данной работе анализируются квантовые емкостные свойства нанолистов нитрида алюминия (AlNNS) с дефектами, с акцентом на их потенциальное использование в суперконденсаторах. Мы подтвердили структурную стабильность примитивной ячейки с помощью расчетов энергии когезии и анализа фононного спектра. Наши результаты показывают, что монослои, содержащие алюминий (Al), азот (N) или имеющие дефицит Al-N, демонстрируют полупроводниковое состояние p-типа/n-типа или с широкой запрещенной зоной. Расчеты энергии образования дефектов показывают, что AlNNS с дефицитом N является наименее предпочтительным вариантом. Присутствие недокоординированных атомов вблизи дефекта приводит к появлению нового примесного состояния в запрещенной энергетической зоне. Это побудило нас к детальному исследованию их квантовой емкости, на которую сильно влияет плотность состояний вблизи энергии Ферми. Наше исследование показывает, что Al-дефицитные AlNNS достигают максимальной квантовой емкости (CQMax) 690 мкФ/см² в области положительного смещения, что делает их подходящим кандидатом на роль анодного материала в суперконденсаторах. Для сравнения, азот-дефицитные AlNNS достигают CQMax 313 мкФ/см² и максимальной емкости поверхностного заряда (QMax) -91 мкКл/см², что подчеркивает их потенциал в качестве катодного материала. Al-N-дефицитные AlNNS демонстрируют промежуточное поведение с выраженными пиками квантовой емкости в обеих областях смещения, что обеспечивает дополнительную гибкость для потенциальных применений.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>Теория функционала плотности</kwd><kwd>зонная структура</kwd><kwd>нанолисты нитрида алюминия</kwd><kwd>квантовая емкость</kwd><kwd>поверхностный заряд</kwd></kwd-group><kwd-group xml:lang="en"><kwd>density functional theory</kwd><kwd>band structure</kwd><kwd>aluminium nitride nanosheet</kwd><kwd>quantum capacitance</kwd><kwd>surface charge</kwd></kwd-group><funding-group><funding-statement xml:lang="en">No external funding or specific support was received for this research.</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">Hughes Z.E., Walsh T.R. Computational chemistry for graphene-based energy applications: progress and challenges. Nanoscale, 2015, 7 (13), P. 6883–6908.</mixed-citation><mixed-citation xml:lang="en">Hughes Z.E., Walsh T.R. Computational chemistry for graphene-based energy applications: progress and challenges. Nanoscale, 2015, 7 (13), P. 6883–6908.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ponnamma D., Vijayan P., Al Ali Al-Maadeed M. 3D architectures of titania nanotubes and graphene with efficient nanosynergy for supercapacitors. Mater. Des., 2017, 117, P. 203–212.</mixed-citation><mixed-citation xml:lang="en">Ponnamma D., Vijayan P., Al Ali Al-Maadeed M. 3D architectures of titania nanotubes and graphene with efficient nanosynergy for supercapacitors. Mater. Des., 2017, 117, P. 203–212.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Wang G., Zhang L., Zhang J. A review of electrode materials for electrochemical supercapacitors. Chem. Soc. Rev., 2012, 41 (2), P. 797–828.</mixed-citation><mixed-citation xml:lang="en">Wang G., Zhang L., Zhang J. A review of electrode materials for electrochemical supercapacitors. Chem. Soc. Rev., 2012, 41 (2), P. 797–828.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Pak A.J., Paek E., Hwang G.S. Relative contributions of quantum and double layer capacitance to the supercapacitor performance of carbon nanotubes in an ionic liquid. Phys. Chem. Chem. Phys., 2013, 15 (44), P. 19741–19747.</mixed-citation><mixed-citation xml:lang="en">Pak A.J., Paek E., Hwang G.S. Relative contributions of quantum and double layer capacitance to the supercapacitor performance of carbon nanotubes in an ionic liquid. Phys. Chem. Chem. Phys., 2013, 15 (44), P. 19741–19747.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Stoller M.D., Magnuson C.W., Zhu Y., Murali S., Suk J.W., Piner R., Ruoff R.S. Interfacial capacitance of single layer graphene. Energy Environ. Sci., 2011, 4 (11), P. 4685–4689.</mixed-citation><mixed-citation xml:lang="en">Stoller M.D., Magnuson C.W., Zhu Y., Murali S., Suk J.W., Piner R., Ruoff R.S. Interfacial capacitance of single layer graphene. Energy Environ. Sci., 2011, 4 (11), P. 4685–4689.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Xia J., Chen F., Li J., Tao N. Measurement of the quantum capacitance of graphene. Nat. Nanotechnol., 2009, 4 (8), P. 505–509.</mixed-citation><mixed-citation xml:lang="en">Xia J., Chen F., Li J., Tao N. Measurement of the quantum capacitance of graphene. Nat. Nanotechnol., 2009, 4 (8), P. 505–509.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Vurgaftman I., Meyer J.N. Band parameters for nitrogen-containing semiconductors. J. Appl. Phys., 2003, 94 (6), P. 3675–3696.</mixed-citation><mixed-citation xml:lang="en">Vurgaftman I., Meyer J.N. Band parameters for nitrogen-containing semiconductors. J. Appl. Phys., 2003, 94 (6), P. 3675–3696.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Wu J. When group-III nitrides go infrared: New properties and perspectives. J. Appl. Phys., 2009, 106 (1), 011101.</mixed-citation><mixed-citation xml:lang="en">Wu J. When group-III nitrides go infrared: New properties and perspectives. J. Appl. Phys., 2009, 106 (1), 011101.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang Y., Liu J., He R., Zhang Q., Zhang X., Zhu J. Synthesis of aluminum nitride nanowires from carbon nanotubes. Chem. Mater., 2001, 13 (11), P. 3899–3905.</mixed-citation><mixed-citation xml:lang="en">Zhang Y., Liu J., He R., Zhang Q., Zhang X., Zhu J. Synthesis of aluminum nitride nanowires from carbon nanotubes. Chem. Mater., 2001, 13 (11), P. 3899–3905.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Wu Q., Hu Z., Wang X., Lu Y., Chen X., Xu H., Chen Y. Synthesis and characterization of faceted hexagonal aluminum nitride nanotubes. J. Am. Chem. Soc., 2003, 125 (34), P. 10176–10177.</mixed-citation><mixed-citation xml:lang="en">Wu Q., Hu Z., Wang X., Lu Y., Chen X., Xu H., Chen Y. Synthesis and characterization of faceted hexagonal aluminum nitride nanotubes. J. Am. Chem. Soc., 2003, 125 (34), P. 10176–10177.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Stan G., Ciobanu C.V., Thayer T.P., Wang G.T., Creighton J.R., Purushotham K.P., Cook R.F. Elastic moduli of faceted aluminum nitride nanotubes measured by contact resonance atomic force microscopy. Nanotechnology, 2008, 20 (3), 035706.</mixed-citation><mixed-citation xml:lang="en">Stan G., Ciobanu C.V., Thayer T.P., Wang G.T., Creighton J.R., Purushotham K.P., Cook R.F. Elastic moduli of faceted aluminum nitride nanotubes measured by contact resonance atomic force microscopy. Nanotechnology, 2008, 20 (3), 035706.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang X., Liu Z., Hark S. Synthesis and optical characterization of single-crystalline AlN nanosheets. Solid State Commun., 2007, 143 (6-7), P. 317–320.</mixed-citation><mixed-citation xml:lang="en">Zhang X., Liu Z., Hark S. Synthesis and optical characterization of single-crystalline AlN nanosheets. Solid State Commun., 2007, 143 (6-7), P. 317–320.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Lei M., Song B., Guo X., Guo Y.F., Li P.G., Tang W.H. Large-scale AlN nanowires synthesized by direct sublimation method. J. Eur. Ceram. Soc., 2009, 29 (1), P. 195–200.</mixed-citation><mixed-citation xml:lang="en">Lei M., Song B., Guo X., Guo Y.F., Li P.G., Tang W.H. Large-scale AlN nanowires synthesized by direct sublimation method. J. Eur. Ceram. Soc., 2009, 29 (1), P. 195–200.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Wang P., Wang T., Wang H., Sun X., Huang P., Sheng B., Wang X. Experimental evidence of large bandgap energy in atomically thin AlN. Adv. Funct. Mater., 2019, 29 (36), 1902608. [15] Han L., Li Y., Zhao Y., Meng X., Lei X., Yang X., Liu M. One-time mass production of AlN nanosheets: Synergistic effect of high-energy shear and effective collision in a sanding mill. Ceram. Int., 2024, 50 (11), P. 19642–19649.</mixed-citation><mixed-citation xml:lang="en">Wang P., Wang T., Wang H., Sun X., Huang P., Sheng B., Wang X. Experimental evidence of large bandgap energy in atomically thin AlN. Adv. Funct. Mater., 2019, 29 (36), 1902608. [15] Han L., Li Y., Zhao Y., Meng X., Lei X., Yang X., Liu M. One-time mass production of AlN nanosheets: Synergistic effect of high-energy shear and effective collision in a sanding mill. Ceram. Int., 2024, 50 (11), P. 19642–19649.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Javaheri S., Babaeipour M., Boochani A., Naderi S. Electronic and optical properties of V doped AlN nanosheet: DFT calculations. Chin. J. Phys., 2018, 56 (6), P. 2698–2709.</mixed-citation><mixed-citation xml:lang="en">Javaheri S., Babaeipour M., Boochani A., Naderi S. Electronic and optical properties of V doped AlN nanosheet: DFT calculations. Chin. J. Phys., 2018, 56 (6), P. 2698–2709.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Peng Y., Xia C., Zhang H., Wang T., Wei S., Jia Y. Tunable electronic structures of p-type Mg doping in AlN nanosheet. J. Appl. Phys., 2014, 116 (4), 044306.</mixed-citation><mixed-citation xml:lang="en">Peng Y., Xia C., Zhang H., Wang T., Wei S., Jia Y. Tunable electronic structures of p-type Mg doping in AlN nanosheet. J. Appl. Phys., 2014, 116 (4), 044306.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Liu P., De Sarkar A., Ahuja R. Shear strain induced indirect to direct transition in band gap in AlN monolayer nanosheet. Comput. Mater. Sci., 2014, 86, P. 206–210.</mixed-citation><mixed-citation xml:lang="en">Liu P., De Sarkar A., Ahuja R. Shear strain induced indirect to direct transition in band gap in AlN monolayer nanosheet. Comput. Mater. Sci., 2014, 86, P. 206–210.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Tsipas P., Kassavetis S., Tsoutsou D., Xenogiannopoulou E., Golias E., Giamini S.A., Grazianetti C. et al. Evidence for graphite-like hexagonal AlN nanosheets epitaxially grown on single crystal Ag(111). Appl. Phys. Lett., 2013, 103 (25), 251605.</mixed-citation><mixed-citation xml:lang="en">Tsipas P., Kassavetis S., Tsoutsou D., Xenogiannopoulou E., Golias E., Giamini S.A., Grazianetti C. et al. Evidence for graphite-like hexagonal AlN nanosheets epitaxially grown on single crystal Ag(111). Appl. Phys. Lett., 2013, 103 (25), 251605.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Perdew J.P., Burke K., Ernzerhof M. Generalized gradient approximation made simple. Phys. Rev. Lett., 1996, 77 (18), P. 3865–3868.</mixed-citation><mixed-citation xml:lang="en">Perdew J.P., Burke K., Ernzerhof M. Generalized gradient approximation made simple. Phys. Rev. Lett., 1996, 77 (18), P. 3865–3868.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Monkhorst H.J., Pack J.D. Special points for Brillouin-zone integrations. Phys. Rev. B, 1976, 13 (12), P. 5188–5192.</mixed-citation><mixed-citation xml:lang="en">Monkhorst H.J., Pack J.D. Special points for Brillouin-zone integrations. Phys. Rev. B, 1976, 13 (12), P. 5188–5192.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Troullier N., Martins J.L. Efficient pseudopotentials for plane-wave calculations. Phys. Rev. B, 1991, 43 (3), P. 1993–2006.</mixed-citation><mixed-citation xml:lang="en">Troullier N., Martins J.L. Efficient pseudopotentials for plane-wave calculations. Phys. Rev. B, 1991, 43 (3), P. 1993–2006.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ordej’on P., Artacho E., Soler J.M. Self-Consistent Order-N Density-Functional Calculations for Very Large Systems. Phys. Rev. B, 1996, 53 (16), R10441–R10444.</mixed-citation><mixed-citation xml:lang="en">Ordej’on P., Artacho E., Soler J.M. Self-Consistent Order-N Density-Functional Calculations for Very Large Systems. Phys. Rev. B, 1996, 53 (16), R10441–R10444.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Soler J.M., Artacho E., Gale J.D., Garc’ia A., Junquera J., Ordej’on P., S’anchez-Portal D. The Siesta method for ab initio order-N materials simulation. J. Phys.: Condens. Matter, 2002, 14 (11), P. 2745–2779.</mixed-citation><mixed-citation xml:lang="en">Soler J.M., Artacho E., Gale J.D., Garc’ia A., Junquera J., Ordej’on P., S’anchez-Portal D. The Siesta method for ab initio order-N materials simulation. J. Phys.: Condens. Matter, 2002, 14 (11), P. 2745–2779.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">The MathWorks Inc. Statistics and Machine Learning Toolbox Documentation, Natick, Massachusetts: The MathWorks Inc., 2022, URL: https://www.mathworks.com/help/stats/index.html.</mixed-citation><mixed-citation xml:lang="en">The MathWorks Inc. Statistics and Machine Learning Toolbox Documentation, Natick, Massachusetts: The MathWorks Inc., 2022, URL: https://www.mathworks.com/help/stats/index.html.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Nguyen D.K., Vu T.V., Hoat D.M. Antiferromagnetic ordering in the TM-adsorbed AlN monolayer (TM = V and Cr). RSC Adv., 2022, 12 (26), P. 16677–16683.</mixed-citation><mixed-citation xml:lang="en">Nguyen D.K., Vu T.V., Hoat D.M. Antiferromagnetic ordering in the TM-adsorbed AlN monolayer (TM = V and Cr). RSC Adv., 2022, 12 (26), P. 16677–16683.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">SanthiBhushan B., Khan M.S., Bohat V.K., Srivastava A. Quantum capacitance estimations of pyrrolic-rich graphene for supercapacitor electrodes. IEEE Trans. Nanotechnol., 2018, 17 (2), P. 205–211.</mixed-citation><mixed-citation xml:lang="en">SanthiBhushan B., Khan M.S., Bohat V.K., Srivastava A. Quantum capacitance estimations of pyrrolic-rich graphene for supercapacitor electrodes. IEEE Trans. Nanotechnol., 2018, 17 (2), P. 205–211.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Hu R., Shang J. Quantum capacitance of transition metal and nitrogen co-doped graphenes as supercapacitors electrodes: A DFT study. Appl. Surf. Sci., 2019, 496, 143659.</mixed-citation><mixed-citation xml:lang="en">Hu R., Shang J. Quantum capacitance of transition metal and nitrogen co-doped graphenes as supercapacitors electrodes: A DFT study. Appl. Surf. Sci., 2019, 496, 143659.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Mousavi-Khoshdel M., Targholi E., Momeni M.J. First-principles calculation of quantum capacitance of codoped graphenes as supercapacitor electrodes. J. Phys. Chem. C, 2015, 119 (47), P. 26290–26295.</mixed-citation><mixed-citation xml:lang="en">Mousavi-Khoshdel M., Targholi E., Momeni M.J. First-principles calculation of quantum capacitance of codoped graphenes as supercapacitor electrodes. J. Phys. Chem. C, 2015, 119 (47), P. 26290–26295.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Khan Z.R., Abbas Z., Akhter N., Khan M.S., Khan M.S. Enhanced quantum capacitance in Ti, V, Cr, Fe, Ga, Ge, Se, and Br doped arsenene: a first principles investigation. Chem. Phys. Lett., 2023, 823, 140500.</mixed-citation><mixed-citation xml:lang="en">Khan Z.R., Abbas Z., Akhter N., Khan M.S., Khan M.S. Enhanced quantum capacitance in Ti, V, Cr, Fe, Ga, Ge, Se, and Br doped arsenene: a first principles investigation. Chem. Phys. Lett., 2023, 823, 140500.</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>
