<article 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" article-type="research-article" dtd-version="1.2" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">Russian Journal of Physical Chemistry</journal-id><journal-title-group><journal-title>Russian Journal of Physical Chemistry</journal-title></journal-title-group><issn publication-format="print">0044-4537</issn><issn publication-format="electronic">3034-5537</issn><publisher><publisher-name>Russian Academy of Science</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.7868/S3034553725010053</article-id><title-group><article-title>Kinetic model of the temperature-programmed desorption of ammonia to study the acidity of heterogeneous catalysts</article-title><trans-title-group xml:lang="ru"><trans-title>Кинетическая модель температурно-программируемой десорбции аммиака для исследования кислотности гетерогенных катализаторов</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Lysikov</surname><given-names>A. I.</given-names></name><name xml:lang="ru"><surname>Лысиков</surname><given-names>А. И. </given-names></name></name-alternatives><email>lyanig@catalysis.ru</email><xref ref-type="aff" rid="aff-1"></xref><xref ref-type="aff" rid="aff-2"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Vdovichenko</surname><given-names>V. A.</given-names></name><name xml:lang="ru"><surname>Вдовиченко</surname><given-names>В. А. </given-names></name></name-alternatives><email>vdovichenko_v_a_noemail@ras.ru</email><xref ref-type="aff" rid="aff-3"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Vorob’eva</surname><given-names>E. E.</given-names></name><name xml:lang="ru"><surname>Воробьева</surname><given-names>Е. Е. </given-names></name></name-alternatives><email>vorob&amp;apos;eva_e_e_noemail@ras.ru</email><xref ref-type="aff" rid="aff-5"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Shamanaeva</surname><given-names>I. A.</given-names></name><name xml:lang="ru"><surname>Шаманаева</surname><given-names>И. А. </given-names></name></name-alternatives><email>shamanaeva_i_a_noemail@ras.ru</email><xref ref-type="aff" rid="aff-7"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Luzina</surname><given-names>E. V.</given-names></name><name xml:lang="ru"><surname>Лузина</surname><given-names>Е. В. </given-names></name></name-alternatives><email>luzina_e_v_noemail@ras.ru</email><xref ref-type="aff" rid="aff-9"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Piryutko</surname><given-names>L. V.</given-names></name><name xml:lang="ru"><surname>Пирютко</surname><given-names>Л. В. </given-names></name></name-alternatives><email>piryutko_l_v_noemail@ras.ru</email><xref ref-type="aff" rid="aff-11"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Veselovskaya</surname><given-names>Zh. V.</given-names></name><name xml:lang="ru"><surname>Веселовская</surname><given-names>Ж. В. </given-names></name></name-alternatives><email>veselovskaya_zh_v_noemail@ras.ru</email><xref ref-type="aff" rid="aff-13"></xref></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid"></contrib-id><name-alternatives><name xml:lang="en"><surname>Parkhomchuk</surname><given-names>E. V.</given-names></name><name xml:lang="ru"><surname>Пархомчук</surname><given-names>Е. В. </given-names></name></name-alternatives><email>parkhomchuk_e_v_noemail@ras.ru</email><xref ref-type="aff" rid="aff-15"></xref></contrib></contrib-group><aff-alternatives id="aff-1"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff><institution xml:lang="ru"></institution><institution xml:lang="en"></institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-5"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-7"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-9"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-11"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS)</institution></aff></aff-alternatives><aff-alternatives id="aff-13"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><aff-alternatives id="aff-15"><aff><institution xml:lang="ru">Институт катализа им. Г. К. Борескова СО РАН (ИК СО РАН); Новосибирский национальный исследовательский государственный университет (НГУ)</institution><institution xml:lang="en">Boreskov Institute of Catalysis SB RAS (IC SB RAS); Novosibirsk State University (NSU)</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-01-01" publication-format="electronic"><day>01</day><month>01</month><year>2025</year></pub-date><volume>99</volume><issue>1</issue><fpage>50</fpage><lpage>67</lpage><abstract xml:lang="en"><p>A new method for processing the results of the temperature-programmed desorption (TPD) of ammonia from heterogeneous catalyst surfaces and an approach for automatic deconvolution of TPD kinetic curves are proposed. This method uses the Polanyi-Wigner kinetic model with formal kinetics approaches for simple reactions, which imposes restrictions on the observed orders of 1, 2, or 3. The parameters of TPD curves are selected based on the inverse simulation using the Runge-Kutta method and fitting them to experimental points using dynamic model parameters changes. As an example, several heterogeneous catalysts are presented in this work. TPD-NH3 of titanium silicalite-1 and silicalite-1 is obtained using one third-order desorption kinetic equation. TPD-NH3 of the three samples of γ-alumina is obtained using two desorption peaks with similar kinetic parameters.</p></abstract><trans-abstract xml:lang="ru"><p>Предложен новый метод обработки результатов температурно-программируемой десорбции аммиака с поверхности гетерогенных катализаторов и описан подход для автоматической деконволюции кинетических кривых ТПД. Данный метод использует кинетическую модель Поляни–Вигнера с применением уравнений формальной кинетики простых реакций, что накладывает ограничения на использование кинетических кривых с наблюдаемым порядком 1, 2 или 3. Подбор параметров для кривых ТПД основан на методе нелинейной минимизации методом Рунге–Кутте и подгона их под экспериментальные точки с использованием динамической скорости изменения параметров модели. В качестве примера представлено несколько однотипных гетерогенных систем: титансиликалит–1 и силикалит–1, для которых получено описание экспериментальных точек одним кинетическим уравнением десорбции третьего порядка, и три образца γ-оксида алюминия, для которых были получены модельные кинетические кривые с двумя пиками десорбции и со сходящимися кинетическими параметрами.</p></trans-abstract><kwd-group xml:lang="en"><kwd>температурно-программируемая десорбция аммиака кислотность кинетика оксид алюминия силикалит–1 титансиликалит–1</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>температурно-программируемая десорбция аммиака кислотность кинетика оксид алюминия силикалит–1 титансиликалит–1</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Правительство Новосибирской области (гр-10). Министерство науки и высшего образования Российской Федерации.</funding-statement></funding-group><funding-group xml:lang="en"><funding-statement>Government of the Novosibirsk Region (гр-10). Ministry of Science and Higher Education of the Russian Federation.</funding-statement></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>B1</label><citation-alternatives><mixed-citation xml:lang="ru">Da Ros S., Barbosa-Coutinho E., Schwaab M. et al. // Mater. Charact. 2013. V. 80. P. 50.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B2"><label>B2</label><citation-alternatives><mixed-citation xml:lang="ru">Phung T.K., Garbarino G. // J. Ind. Eng. Chem. 2017. V. 47. P. 288.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B3"><label>B3</label><citation-alternatives><mixed-citation xml:lang="ru">Yashnik S.A., Boltenkov V.V., Babushkin D.E. et al. // Kinet. Catal. 2022. V. 63. P. 555.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B4"><label>B4</label><citation-alternatives><mixed-citation xml:lang="ru">Cvetanoviĉ R.J., Amenomiya Y. // Adv. Catal. 1972. V. 6. P. 21.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B5"><label>B5</label><citation-alternatives><mixed-citation xml:lang="ru">Amenomiya Y., Chenier J.H.B., Cvetanović R.J. // J. Phys. Chem. 1964. V. 68. P. 52.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B6"><label>B6</label><citation-alternatives><mixed-citation xml:lang="ru">Serebrennikov D.V., Grigor’eva N.G., Khazipova A.N. et al. // Kinet. Catal. 2022. V. 63. P. 577.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B7"><label>B7</label><citation-alternatives><mixed-citation xml:lang="ru">Wu L., Su H., Liu Q. et al. // Ibid. 2022. V. 63. P. 498.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B8"><label>B8</label><citation-alternatives><mixed-citation xml:lang="ru">Busca G. // Chem. Rev. 2007. V. 107. P. 5366.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B9"><label>B9</label><citation-alternatives><mixed-citation xml:lang="ru">Kim C., Yan X.M., White J.M. // Rev. Sci. Instrum. 2000. V. 71. P. 3502.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B10"><label>B10</label><citation-alternatives><mixed-citation xml:lang="ru">Kechagiopoulos P.N., Thybaut J.W., Marin G.B. // Ind. Eng. Chem. 2014. V. 53. P. 1825.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B11"><label>B11</label><citation-alternatives><mixed-citation xml:lang="ru">Cvetanović R.J., Amenomiya Y. // Adv. Catal. 1967. V. 17. P. 103.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B12"><label>B12</label><citation-alternatives><mixed-citation xml:lang="ru">Rodríguez-González L., Hermes F., Bertmer M. et al. // Appl. Catal. A Gen. 2007. V. 328. P. 174.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B13"><label>B13</label><citation-alternatives><mixed-citation xml:lang="ru">Schwarz J.A. // Catal. Rev. – Sci. Eng. 1983. V. 25. P. 141.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B14"><label>B14</label><citation-alternatives><mixed-citation xml:lang="ru">Bhatia S., Beltramini J., Do D.D. // Catal. Today. 1990. V. 7. P. 309.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B15"><label>B15</label><citation-alternatives><mixed-citation xml:lang="ru">Kanervo J.M., Krause A.O.I. // J. Phys. Chem. B. 2001. V. 105. P. 9778.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B16"><label>B16</label><citation-alternatives><mixed-citation xml:lang="ru">Russell N.M., Ekerdt J.G. // Surf. Sci. 1996. V. 364. P. 199–218.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B17"><label>B17</label><citation-alternatives><mixed-citation xml:lang="ru">Niwa M., Katada N. // Chem. Rec. 2013. V. 13. P. 432.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B18"><label>B18</label><citation-alternatives><mixed-citation xml:lang="ru">Da Ros S., Valter Flores K.A., Schwaab M. et al. // J. Ind. Eng. Chem. 2021. V. 94. P. 425.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B19"><label>B19</label><citation-alternatives><mixed-citation xml:lang="ru">Xu J., Deng J. // ACS Omega. 2020. V. 5. P. 4148.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B20"><label>B20</label><citation-alternatives><mixed-citation xml:lang="ru">Campbell C.T., Sellers J.R.V. // Chem. Rev. 2013. V. 113. P. 4106.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B21"><label>B21</label><citation-alternatives><mixed-citation xml:lang="ru">King D.A. // Surf. Sci. 1975. V. 47. P. 384.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B22"><label>B22</label><citation-alternatives><mixed-citation xml:lang="ru">Parmon V. Thermodynamics of non-equilibrium processes for chemists with a particular application to catalysis // Elsevier. 2010.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B23"><label>B23</label><citation-alternatives><mixed-citation xml:lang="ru">Sidoumou M., Panella V., Suzanne J. // J. Chem. Phys. 1998. V. 101. P. 6338.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B24"><label>B24</label><citation-alternatives><mixed-citation xml:lang="ru">Schmid M., Parkinson G.S., Diebold U. // ACS Phys. Chem. Au. 2023. V. 3. P. 44.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B25"><label>B25</label><citation-alternatives><mixed-citation xml:lang="ru">Sprowl L.H., Campbell C.T., Árnadóttir L. // J. Phys. Chem. C. 2017. V. 121. P. 9655.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B26"><label>B26</label><citation-alternatives><mixed-citation xml:lang="ru">Sprowl L.H., Campbell C.T., Árnadóttir L. // Ibid. 2016. V. 120. P. 9719.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B27"><label>B27</label><citation-alternatives><mixed-citation xml:lang="ru">Banerjee A., Vithusha T., Krishna B.B. et al. // Bioresour. Technol. 2021. V. 340. P. 125534.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B28"><label>B28</label><citation-alternatives><mixed-citation xml:lang="ru">Vyazovkin S., Burnham A.K., Favergeon L. et al. // Thermochim. Acta. 2020. V. 689. P. 178597.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B29"><label>B29</label><citation-alternatives><mixed-citation xml:lang="ru">Luzina E.V., Shamanaeva I.A., Parkhomchuk E.V. // Pet. Chem. 2021. V. 61. P. 807.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B30"><label>B30</label><citation-alternatives><mixed-citation xml:lang="ru">Veselovskaya J.V., Parunin P.D., Netskina O.V. et al. // Energy. 2018. V. 159. P. 766.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B31"><label>B31</label><citation-alternatives><mixed-citation xml:lang="ru">Semeykina V.S., Polukhin A.V., Lysikov A.I. et al. // Catal. Letters. 2019 V. 3. P. 513.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B32"><label>B32</label><citation-alternatives><mixed-citation xml:lang="ru">Parkhomchuk E.V., Fedotov K.V., Lysikov A.I. et al. // Catal. Ind. 2022. V. 14. P. 86.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B33"><label>B33</label><citation-alternatives><mixed-citation xml:lang="ru">Dormand J.R., Prince P.J. // J. Comput. Appl. Math. 1980. V. 6. P. 19.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B34"><label>B34</label><citation-alternatives><mixed-citation xml:lang="ru">Shampine L.F., Reichelt M.W., Sci S.J. // Soc. Ind. Appl. Math. 1997. V. 18. P. 1.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B35"><label>B35</label><citation-alternatives><mixed-citation xml:lang="ru">Ламберов А.А., Халилов И.Ф., Ильясов И.Р. и др. // Вестн. Казанского Технологического Университета. 2011. № 13. С. 24</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B36"><label>B36</label><citation-alternatives><mixed-citation xml:lang="ru">Ye Y.L., Fu M.Q., Chen H.L. et al. // J. Fuel Chem. Technol. 2020. V. 48. P. 311.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B37"><label>B37</label><citation-alternatives><mixed-citation xml:lang="ru">Efstathiou A.M., Fliatoura K. // Appl. Catal. B, Environ. 1995. V. 6. P. 35.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B38"><label>B38</label><citation-alternatives><mixed-citation xml:lang="ru">Guo R., Zhou Y., Pan W. et al. // J. Ind. Eng. Chem. 2013. V. 19. P. 2022.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref><ref id="B39"><label>B39</label><citation-alternatives><mixed-citation xml:lang="ru">Zhdanov V.P., Pavlicek J., Knor Z. // Catal. Rev. – Sci. Eng. 1988. V. 30. P. 501.</mixed-citation><mixed-citation xml:lang="en"></mixed-citation></citation-alternatives></ref></ref-list></back></article>