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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">From Chemistry Towards Technology Step-By-Step</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">From Chemistry Towards Technology Step-By-Step</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>От химии к технологии шаг за шагом</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2782-1900</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">81570</article-id>
   <article-id pub-id-type="doi">10.52957/27821900_2023_01_142</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Научные статьи</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Scientific articles</subject>
    </subj-group>
    <subj-group>
     <subject>Научные статьи</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Modelling of rubber thermal degradation kinetics during the pyrolysis of rubber waste</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Modelling of rubber thermal degradation kinetics during the pyrolysis of rubber waste</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-8840-248X</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Соловьев</surname>
       <given-names>Михаил Евгеньевич</given-names>
      </name>
      <name xml:lang="en">
       <surname>Soloviev</surname>
       <given-names>Mikhail Evgen'evich</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>доктор физико-математических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of physical and mathematical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2970-6109</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Каблов</surname>
       <given-names>Виктор Федорович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kablov</surname>
       <given-names>Viktor F.</given-names>
      </name>
     </name-alternatives>
     <email>vkablov5@gmail.com</email>
     <bio xml:lang="ru">
      <p>доктор технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>doctor of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1917-7979</contrib-id>
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Балдаев</surname>
       <given-names>Сергей Львович</given-names>
      </name>
      <name xml:lang="en">
       <surname>Baldaev</surname>
       <given-names>Sergey L'vovich</given-names>
      </name>
     </name-alternatives>
     <bio xml:lang="ru">
      <p>кандидат технических наук;</p>
     </bio>
     <bio xml:lang="en">
      <p>candidate of technical sciences;</p>
     </bio>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Федорова</surname>
       <given-names>Мария Олеговна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Fedorova</surname>
       <given-names>Maria Olegovna</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Ярославский государственный технический университет</institution>
     <city>Ярославль</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Ярославский государственный технический университет</institution>
     <city>Ярославль</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Волжский политехнический институт филиал Волгоградского государственного технического университета</institution>
    </aff>
    <aff>
     <institution xml:lang="en">Volzhsky Polytechnic Institute, branch of the Volgograd State Technical University</institution>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">ООО «Технологические системы защитных покрытий»</institution>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">ООО «Технологические системы защитных покрытий»</institution>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2023-03-23T00:00:00+03:00">
    <day>23</day>
    <month>03</month>
    <year>2023</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2023-03-23T00:00:00+03:00">
    <day>23</day>
    <month>03</month>
    <year>2023</year>
   </pub-date>
   <volume>4</volume>
   <issue>1</issue>
   <fpage>142</fpage>
   <lpage>156</lpage>
   <history>
    <date date-type="received" iso-8601-date="2023-01-12T00:00:00+03:00">
     <day>12</day>
     <month>01</month>
     <year>2023</year>
    </date>
    <date date-type="accepted" iso-8601-date="2023-03-22T00:00:00+03:00">
     <day>22</day>
     <month>03</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://chemintech.ru/en/nauka/article/81570/view">https://chemintech.ru/en/nauka/article/81570/view</self-uri>
   <abstract xml:lang="ru">
    <p>The paper presents the kinetic model of polymer thermodegradation as applied to the process of pyrolysis of worn-out tyres and waste rubber products in an industrial reactor. We calculated the quantum-chemical changes of thermodynamic functions for the probable chemical reactions of mesh elastomer degradation. Solid fraction (carbon black and metal wastes) and vapor-gas mixture separated into three hydrocarbon fractions considered as the reaction products. We use a formal kinetic scheme when describing the kinetics of rubber degradation. It shows the mechanism of the process as a set of radical-chain reactions of polymer degradation. Each hydrocarbon fraction corresponds to a certain set of kinetic constants, the temperature dependences of which are assumed to be Arrhenius. The satisfactory agreement of the obtained calculated thermogravimetric de-pendences with the experimental data of different authors allowed us to approximate the rubber thermal degradation curves by the curves characterizing the general-purpose rubbers.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The paper presents the kinetic model of polymer thermodegradation as applied to the process of pyrolysis of worn-out tyres and waste rubber products in an industrial reactor. We calculated the quantum-chemical changes of thermodynamic functions for the probable chemical reactions of mesh elastomer degradation. Solid fraction (carbon black and metal wastes) and vapor-gas mixture separated into three hydrocarbon fractions considered as the reaction products. We use a formal kinetic scheme when describing the kinetics of rubber degradation. It shows the mechanism of the process as a set of radical-chain reactions of polymer degradation. Each hydrocarbon fraction corresponds to a certain set of kinetic constants, the temperature dependences of which are assumed to be Arrhenius. The satisfactory agreement of the obtained calculated thermogravimetric de-pendences with the experimental data of different authors allowed us to approximate the rubber thermal degradation curves by the curves characterizing the general-purpose rubbers.</p>
   </trans-abstract>
   <kwd-group xml:lang="en">
    <kwd>worn tyres</kwd>
    <kwd>rubber waste</kwd>
    <kwd>pyrolysis</kwd>
    <kwd>kinetic model</kwd>
    <kwd>quantum-chemical calculation</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
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 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bandyopadhyay, S., Agrawal, S.L., Ameta, R., Dasgupta, S., Mukhopadhyay, R., Deuri, A.S. &amp; Suresh, C. (2008) An Overview of Rubber Recycling, Progress in Rubber, Plastics and Recycling Technology, 24(2), pp. 73-112 [online]. Available at: https://doi.org/10.1177/147776060802400201</mixed-citation>
     <mixed-citation xml:lang="en">Bandyopadhyay, S., Agrawal, S.L., Ameta, R., Dasgupta, S., Mukhopadhyay, R., Deuri, A.S. &amp; Suresh, C. (2008) An Overview of Rubber Recycling, Progress in Rubber, Plastics and Recycling Technology, 24(2), pp. 73-112 [online]. Available at: https://doi.org/10.1177/147776060802400201</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sienkiewicz, M., Kucinska-Lipka, J., Janik, H. &amp; Balas, A. (2012) Progress in used tyres management in the European Union: A review, Waste Management, 32(10), pp. 1742-1751 [online]. Available at:  https://doi.org/10.1016/j.wasman.2012.05.010</mixed-citation>
     <mixed-citation xml:lang="en">Sienkiewicz, M., Kucinska-Lipka, J., Janik, H. &amp; Balas, A. (2012) Progress in used tyres management in the European Union: A review, Waste Management, 32(10), pp. 1742-1751 [online]. Available at:  https://doi.org/10.1016/j.wasman.2012.05.010</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Myhre, M., Saiwari, S., Dierkes, W. &amp; Noordermeer, J. (2012) Rubber recycling: chemistry, processing, and applications, Rubber Chemistry and Technology, 85(3), pp. 408–449 [online]. Available at:  https://doi.org/10.5254/rct.12.87973</mixed-citation>
     <mixed-citation xml:lang="en">Myhre, M., Saiwari, S., Dierkes, W. &amp; Noordermeer, J. (2012) Rubber recycling: chemistry, processing, and applications, Rubber Chemistry and Technology, 85(3), pp. 408–449 [online]. Available at:  https://doi.org/10.5254/rct.12.87973</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Roy, C., Chaala, A. &amp; Darmstadt, H. (1999) The vacuum pyrolysis of used tires: End-uses for oil and carbon black products, Journal of Analytical and Applied Pyrolysis, 51(1-2), pp. 201-221 [online]. Available at:  https://doi.org/10.1016/S0165-2370(99)00017-0</mixed-citation>
     <mixed-citation xml:lang="en">Roy, C., Chaala, A. &amp; Darmstadt, H. (1999) The vacuum pyrolysis of used tires: End-uses for oil and carbon black products, Journal of Analytical and Applied Pyrolysis, 51(1-2), pp. 201-221 [online]. Available at:  https://doi.org/10.1016/S0165-2370(99)00017-0</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kaminsky, W., Mennerich, C. &amp; Zhang, Z. (2009) Feedstock recycling of synthetic and natural rubber by pyrolysis in a fluidized bed, Journal of Analytical and Applied Pyrolysis, 85(1-2), pp. 334-337 [online]. Available at:  https://doi.org/10.1016/j.jaap.2008.11.012</mixed-citation>
     <mixed-citation xml:lang="en">Kaminsky, W., Mennerich, C. &amp; Zhang, Z. (2009) Feedstock recycling of synthetic and natural rubber by pyrolysis in a fluidized bed, Journal of Analytical and Applied Pyrolysis, 85(1-2), pp. 334-337 [online]. Available at:  https://doi.org/10.1016/j.jaap.2008.11.012</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Czajczyńska, D., Czajka, K., Krzyżyńska &amp; R., Jouhara, H. (2020) Waste tyre pyrolysis – Impact of the process and its products on the environment, Thermal Science and Engineering Progress, 20, 100690 [online]. Available at: https://doi.org/10.1016/j.tsep.2020.100690</mixed-citation>
     <mixed-citation xml:lang="en">Czajczyńska, D., Czajka, K., Krzyżyńska &amp; R., Jouhara, H. (2020) Waste tyre pyrolysis – Impact of the process and its products on the environment, Thermal Science and Engineering Progress, 20, 100690 [online]. Available at: https://doi.org/10.1016/j.tsep.2020.100690</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Khalil, U., Vongsvivut, J., Shahabuddin, M., Samudrala, S.P., Srivatsa, S.C. &amp; Bhattacharya, S. (2020) A study on the performance of coke resistive cerium modified zeolite Y catalyst for the pyrolysis of scrap tyres in a two-stage fixed bed reactor, Waste Management, 102, pp. 139-148 [online]. Available at: https://doi.org/10.1016/j.wasman.2019.10.029</mixed-citation>
     <mixed-citation xml:lang="en">Khalil, U., Vongsvivut, J., Shahabuddin, M., Samudrala, S.P., Srivatsa, S.C. &amp; Bhattacharya, S. (2020) A study on the performance of coke resistive cerium modified zeolite Y catalyst for the pyrolysis of scrap tyres in a two-stage fixed bed reactor, Waste Management, 102, pp. 139-148 [online]. Available at: https://doi.org/10.1016/j.wasman.2019.10.029</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hijazi, A., Al-Muhtaseb, A.H., Aouad, S., Ahmad, M.N. &amp; Zeaiter, J. (2019) Pyrolysis of Waste Rubber Tires with Palladium Doped Zeolite, Journal of Environmental Chemical Engineering, 7(6), 103451 [online]. Available at: https://doi.org/10.1016/j.jece.2019.103451</mixed-citation>
     <mixed-citation xml:lang="en">Hijazi, A., Al-Muhtaseb, A.H., Aouad, S., Ahmad, M.N. &amp; Zeaiter, J. (2019) Pyrolysis of Waste Rubber Tires with Palladium Doped Zeolite, Journal of Environmental Chemical Engineering, 7(6), 103451 [online]. Available at: https://doi.org/10.1016/j.jece.2019.103451</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wang, F., Gao, N., Quan, C. &amp; López, G. (2019) Investigation of Hot Char Catalytic Role in the Pyrolysis of Waste Tires in a Two-step Process, Journal of Analytical and Applied Pyrolysis, 146, 104770 [online]. Available at: https://doi.org/10.1016/j.jaap.2019.104770</mixed-citation>
     <mixed-citation xml:lang="en">Wang, F., Gao, N., Quan, C. &amp; López, G. (2019) Investigation of Hot Char Catalytic Role in the Pyrolysis of Waste Tires in a Two-step Process, Journal of Analytical and Applied Pyrolysis, 146, 104770 [online]. Available at: https://doi.org/10.1016/j.jaap.2019.104770</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Islam, M.R., Parveen, M., Haniu, H. &amp; Sarker, M.R.I. (2010) Innovation in Pyrolysis Technology for Management of Scrap Tire: a Solution of Energy and Environment, International Journal of Environmental Science and Development, 1(1), pp. 89-96. DOI: 10.7763/IJESD.2010.V1.18.</mixed-citation>
     <mixed-citation xml:lang="en">Islam, M.R., Parveen, M., Haniu, H. &amp; Sarker, M.R.I. (2010) Innovation in Pyrolysis Technology for Management of Scrap Tire: a Solution of Energy and Environment, International Journal of Environmental Science and Development, 1(1), pp. 89-96. DOI: 10.7763/IJESD.2010.V1.18.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yaqoob, H., Teoh, Y.H., Ahmad, M. &amp; Gulzar, M. (2021) Potential of tire pyrolysis oil as an alternate fuel for diesel engines: A review, Journal of the Energy Institute, 96, pp. 205-221 [online]. Available at: https://doi.org/10.1016/j.joei.2021.03.002</mixed-citation>
     <mixed-citation xml:lang="en">Yaqoob, H., Teoh, Y.H., Ahmad, M. &amp; Gulzar, M. (2021) Potential of tire pyrolysis oil as an alternate fuel for diesel engines: A review, Journal of the Energy Institute, 96, pp. 205-221 [online]. Available at: https://doi.org/10.1016/j.joei.2021.03.002</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mikulski, M., Ambrosewicz-Walacik, M., Hunicz, J. &amp; Nitkiewicz, S. (2021) Combustion engine applications of waste tyre pyrolytic oil, Progress in Energy and Combustion Science, 85, 100915 [online]. Available at: https://doi.org/10.1016/j.pecs.2021.100915</mixed-citation>
     <mixed-citation xml:lang="en">Mikulski, M., Ambrosewicz-Walacik, M., Hunicz, J. &amp; Nitkiewicz, S. (2021) Combustion engine applications of waste tyre pyrolytic oil, Progress in Energy and Combustion Science, 85, 100915 [online]. Available at: https://doi.org/10.1016/j.pecs.2021.100915</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yaqoob, H., Teoh, Y.H., Sher, F., Jamil, M.A., Nuhanović, M., Razmkhah, O. &amp; Erten, B. (2021) Tribological Behaviour and Lubricating Mechanism of Tire Pyrolysis Oil, Coatings, 11, 386, pp. 1-13 [online]. Available at: https://doi.org/10.3390/coatings11040386</mixed-citation>
     <mixed-citation xml:lang="en">Yaqoob, H., Teoh, Y.H., Sher, F., Jamil, M.A., Nuhanović, M., Razmkhah, O. &amp; Erten, B. (2021) Tribological Behaviour and Lubricating Mechanism of Tire Pyrolysis Oil, Coatings, 11, 386, pp. 1-13 [online]. Available at: https://doi.org/10.3390/coatings11040386</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kyari, M., Cunliffe, A. &amp; Williams, P.T. (2005) Characterization of Oils, Gases, and Char in Relation to the Pyrolysis of Different Brands of Scrap Automotive Tires, Energy &amp; Fuels, 19, pp. 1165-1173. URL: https://doi.org/10.1021/ef049686x</mixed-citation>
     <mixed-citation xml:lang="en">Kyari, M., Cunliffe, A. &amp; Williams, P.T. (2005) Characterization of Oils, Gases, and Char in Relation to the Pyrolysis of Different Brands of Scrap Automotive Tires, Energy &amp; Fuels, 19, pp. 1165-1173. URL: https://doi.org/10.1021/ef049686x</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pavlova, A., Stratiev, D., Mitkova, M., Stanulov, K., Dishovsky, N. &amp; Georgiev, K. (2015) Gas Chromatography-Mass Spectrometry for Characterization of Liquid Products from Pyrolysis of Municipal Waste and Spent Tyres, Acta Chromatographica, 1, pp. 1-19 [online]. Available at: https://doi.org/10.1556/achrom.27.2015.4.5</mixed-citation>
     <mixed-citation xml:lang="en">Pavlova, A., Stratiev, D., Mitkova, M., Stanulov, K., Dishovsky, N. &amp; Georgiev, K. (2015) Gas Chromatography-Mass Spectrometry for Characterization of Liquid Products from Pyrolysis of Municipal Waste and Spent Tyres, Acta Chromatographica, 1, pp. 1-19 [online]. Available at: https://doi.org/10.1556/achrom.27.2015.4.5</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Campuzano, F., Jameel, A.G.A, Zhang, W., Emwas, A.-H., Agudelo, A.F., Martínez, J.D. &amp; Mani Sara-thy, S.M. (2020) Fuel and Chemical Properties of Waste Tire Pyrolysis Oil Derived from a Continuous Twin-Auger Reactor, Energy &amp; Fuels, 34(10), pp. 12688–12702 [online]. Available at: https://doi.org/10.1021/acs.energyfuels.0c02271</mixed-citation>
     <mixed-citation xml:lang="en">Campuzano, F., Jameel, A.G.A, Zhang, W., Emwas, A.-H., Agudelo, A.F., Martínez, J.D. &amp; Mani Sara-thy, S.M. (2020) Fuel and Chemical Properties of Waste Tire Pyrolysis Oil Derived from a Continuous Twin-Auger Reactor, Energy &amp; Fuels, 34(10), pp. 12688–12702 [online]. Available at: https://doi.org/10.1021/acs.energyfuels.0c02271</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Abedeen, A., Hossain, M.S., Som, U. &amp; Moniruzzaman, M.D. (2021) Catalytic cracking of scrap tire-generated fuel oil from pyrolysis of waste tires with zeolite ZSM-5, International journal of sustainable engineering, 14(6), pp. 2025-2040 [online]. Available at: https://doi.org/10.1080/19397038.2021.1951883</mixed-citation>
     <mixed-citation xml:lang="en">Abedeen, A., Hossain, M.S., Som, U. &amp; Moniruzzaman, M.D. (2021) Catalytic cracking of scrap tire-generated fuel oil from pyrolysis of waste tires with zeolite ZSM-5, International journal of sustainable engineering, 14(6), pp. 2025-2040 [online]. Available at: https://doi.org/10.1080/19397038.2021.1951883</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mkhize, N.M., Danon, B., van der Gryp, P. &amp; Görgens, J.F. (2019) Kinetic study of the effect of the heating rate on the waste tyre pyrolysis to maximise limonene production, Chemical Engineering Research and Design, 152, pp. 363–371 [online]. Available at: https://doi.org/10.1016/j.cherd.2019.09.036</mixed-citation>
     <mixed-citation xml:lang="en">Mkhize, N.M., Danon, B., van der Gryp, P. &amp; Görgens, J.F. (2019) Kinetic study of the effect of the heating rate on the waste tyre pyrolysis to maximise limonene production, Chemical Engineering Research and Design, 152, pp. 363–371 [online]. Available at: https://doi.org/10.1016/j.cherd.2019.09.036</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Nkosi, N., Muzenda, E., Mamvura, T.A., Belaid, M. &amp; Patel, B. (2020) The Development of a Waste Tyre Pyrolysis Production Plant Business Model for the Gauteng Region, South Africa, Processes, 8(7), pp. 766-774 [online]. Available at: https://doi.org/10.3390/pr8070766</mixed-citation>
     <mixed-citation xml:lang="en">Nkosi, N., Muzenda, E., Mamvura, T.A., Belaid, M. &amp; Patel, B. (2020) The Development of a Waste Tyre Pyrolysis Production Plant Business Model for the Gauteng Region, South Africa, Processes, 8(7), pp. 766-774 [online]. Available at: https://doi.org/10.3390/pr8070766</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Rani, S. &amp; Agnihotri, R. (2014) Recycling of scrap tyres, International Journal of Materials Science and Applications,  3(5), pp. 164-167 [online]. Available at: https://doi.org/10.11648/j.ijmsa.20140305.16</mixed-citation>
     <mixed-citation xml:lang="en">Rani, S. &amp; Agnihotri, R. (2014) Recycling of scrap tyres, International Journal of Materials Science and Applications,  3(5), pp. 164-167 [online]. Available at: https://doi.org/10.11648/j.ijmsa.20140305.16</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hohenberg, P. &amp; Kohn, W. (1964) Inhomogeneous Electron Gas, Phys. Rev., 136, 3B, pp. B864-B871 [online]. Available at: https://doi.org/10.1103/PhysRev.136.B864</mixed-citation>
     <mixed-citation xml:lang="en">Hohenberg, P. &amp; Kohn, W. (1964) Inhomogeneous Electron Gas, Phys. Rev., 136, 3B, pp. B864-B871 [online]. Available at: https://doi.org/10.1103/PhysRev.136.B864</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Kohn, W. &amp; Sham, L.J. (1965) Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev., 140, 4A, pp. A1133-A1138 [online]. Available at:  https://doi.org/10.1103/PhysRev.140.A1133</mixed-citation>
     <mixed-citation xml:lang="en">Kohn, W. &amp; Sham, L.J. (1965) Self-Consistent Equations Including Exchange and Correlation Effects, Phys. Rev., 140, 4A, pp. A1133-A1138 [online]. Available at:  https://doi.org/10.1103/PhysRev.140.A1133</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Becke, A.D. (1993) Densityfunctional thermochemistry. III. The role of exact exchange, J. Chem. Phys., 98(7), pp. 5648–5652 [online]. Available at: https://doi.org/10.1063/1.462066</mixed-citation>
     <mixed-citation xml:lang="en">Becke, A.D. (1993) Densityfunctional thermochemistry. III. The role of exact exchange, J. Chem. Phys., 98(7), pp. 5648–5652 [online]. Available at: https://doi.org/10.1063/1.462066</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Neese, F. (2017) Software update: the ORCA program system, version 4.0, Wiley Interdiscip. Rev.: Comput. Mol. Sci., 8, e1327  [online]. Available at: https://doi.org/10.1002/wcms.1327</mixed-citation>
     <mixed-citation xml:lang="en">Neese, F. (2017) Software update: the ORCA program system, version 4.0, Wiley Interdiscip. Rev.: Comput. Mol. Sci., 8, e1327  [online]. Available at: https://doi.org/10.1002/wcms.1327</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Broyden, C.G. (1970) The convergence of a class of double-rank minimization algorithms, Journal of Applied Mathematics, 6, pp. 76–90 [online]. Available at: https://doi:10.1093/imamat/6.1.76</mixed-citation>
     <mixed-citation xml:lang="en">Broyden, C.G. (1970) The convergence of a class of double-rank minimization algorithms, Journal of Applied Mathematics, 6, pp. 76–90 [online]. Available at: https://doi:10.1093/imamat/6.1.76</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fletcher, R.A. (1970) New Approach to Variable Metric Algorithms, Computer Journal, 13(3), pp. 317–322 [online]. Available at: https://doi:10.1093/comjnl/13.3.317</mixed-citation>
     <mixed-citation xml:lang="en">Fletcher, R.A. (1970) New Approach to Variable Metric Algorithms, Computer Journal, 13(3), pp. 317–322 [online]. Available at: https://doi:10.1093/comjnl/13.3.317</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Goldfarb, D.A. (1970) Family of Variable-metric methods Updates Derived by Variational Means, Mathematics of Computation, 24(109), pp. 23–26 [online]. Available at: https://doi:10.1090/S0025-5718-1970-0258249-6</mixed-citation>
     <mixed-citation xml:lang="en">Goldfarb, D.A. (1970) Family of Variable-metric methods Updates Derived by Variational Means, Mathematics of Computation, 24(109), pp. 23–26 [online]. Available at: https://doi:10.1090/S0025-5718-1970-0258249-6</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shanno, D.F. (1970) Conditioning of quasi-Newton methods for function minimization, Mathematics of Computation, 24(111), pp. 647–656 [online]. Available at: https://doi:10.1090/S0025-5718-1970-0274029-X</mixed-citation>
     <mixed-citation xml:lang="en">Shanno, D.F. (1970) Conditioning of quasi-Newton methods for function minimization, Mathematics of Computation, 24(111), pp. 647–656 [online]. Available at: https://doi:10.1090/S0025-5718-1970-0274029-X</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Mueller, M. (2002) Fundamentals of Quantum Chemistry. Molecular Spectroscopy and Modern Electronic Structure Computation. New York (NY): Kluwer Academic publisher [online]. Available at:  https://doi.org/10.1063/1.1535013</mixed-citation>
     <mixed-citation xml:lang="en">Mueller, M. (2002) Fundamentals of Quantum Chemistry. Molecular Spectroscopy and Modern Electronic Structure Computation. New York (NY): Kluwer Academic publisher [online]. Available at:  https://doi.org/10.1063/1.1535013</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Varvarkin, S.V., Soloviev, M.E. &amp; Gerasimova, N.P. (2022) Quantum-chemical study of the carboxylation reaction of 4-aminophenol, 4-acetylaminophenol and their salts in the synthesis of 5-aminosalicylic acid, From Chemistry Towards Technology Step-By-Step, 3(3), pp. 27-33. DOI: 10.52957/27821900_2022_03_27 [online]. Available at: https://drive.google.com/file/d/1k3uNF_opZcwn_-W9gFfgZ6o4PLJ3BBSf/view (in Russian).</mixed-citation>
     <mixed-citation xml:lang="en">Varvarkin, S.V., Soloviev, M.E. &amp; Gerasimova, N.P. (2022) Quantum-chemical study of the carboxylation reaction of 4-aminophenol, 4-acetylaminophenol and their salts in the synthesis of 5-aminosalicylic acid, From Chemistry Towards Technology Step-By-Step, 3(3), pp. 27-33. DOI: 10.52957/27821900_2022_03_27 [online]. Available at: https://drive.google.com/file/d/1k3uNF_opZcwn_-W9gFfgZ6o4PLJ3BBSf/view (in Russian).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lin, J.-P., Chip Yuan, Chang, C., Wu, C.-H. &amp; Shih, S.-M. (1996) Thermal degradation kinetics of polybutadiene rubber, Polymer Degradation and Stability, 53, pp. 295-300 [online]. Available at: https://doi.org/10.1016/0141-3910(96)00098-5</mixed-citation>
     <mixed-citation xml:lang="en">Lin, J.-P., Chip Yuan, Chang, C., Wu, C.-H. &amp; Shih, S.-M. (1996) Thermal degradation kinetics of polybutadiene rubber, Polymer Degradation and Stability, 53, pp. 295-300 [online]. Available at: https://doi.org/10.1016/0141-3910(96)00098-5</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B32">
    <label>32.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">McCreedy, K. &amp; Keskkula, H. (1979) Effect of thermal crosslinking on decomposition of polybutadiene, Polymer, 20, pp. 1155-1159 [online]. Available at: https://doi.org/10.1016/0032-3861(79)90309-4</mixed-citation>
     <mixed-citation xml:lang="en">McCreedy, K. &amp; Keskkula, H. (1979) Effect of thermal crosslinking on decomposition of polybutadiene, Polymer, 20, pp. 1155-1159 [online]. Available at: https://doi.org/10.1016/0032-3861(79)90309-4</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
