Information Entropy of Catalytic Reaction

Doklady Physical Chemistry - Trang 1-6 - 2024
A. D. Zimina1, A. A. Tukhbatullina1, D. Sh. Sabirov1
1Institute of Petrochemistry and Catalysis, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia

Tóm tắt

As structural descriptors in chemistry, indices based of information entropy are widely used. The change in information entropy in a chemical reaction is calculated as the difference of the values for the ensemble of products and the ensemble of reactants. In this work, for a generalized scheme of a catalytic reaction, analytical expressions were derived that relate the information entropy change in it with the parameters of individual steps and the corresponding overall equation. It was found that the sum of the parameters of individual steps is proportional to the information entropy change in the formal noncatalytic reaction, and the coefficient of proportionality is the fraction of atoms contained in reacting (forming) molecules of the ensemble of reactants (or products).

Tài liệu tham khảo

Stankevich, M.I., Stankevich, I.V., and Zefirov, N.S., Russ. Chem. Rev., 1988, vol. 57, pp. 191–208. https://doi.org/10.1070/RC1988v057n03ABEH003344

Sabirov, D.S. and Shepelevich, I.S., Entropy, 2021, vol. 23, p. 1240. https://doi.org/10.3390/e23101240

Barigye, S.J., Marrero-Ponce, Y., Pérez-Giménez, F., and Bonchev, D., Mol. Divers., 2014, vol. 18, p. 673. https://doi.org/10.1007/s11030-014-9517-7

Zhdanov, Yu.A., Informatsionnaya entropiya v organicheskoi khimii (Information Entropy in Organic Chemistry), Rostov-on-Don: Rostov Univ., 1979.

Sabirov, D. and Koledina, K., EPJ Web Conf., 2020, vol. 244, p. 01016. https://doi.org/10.1051/epjconf/202024401016

Sabirov, D.Sh., Ori, O., and László, I., Fullerene Nanotube Carbon Nanostruct., 2018, vol. 26, p. 100. https://doi.org/10.1080/1536383X.2017.1405389

Sabirov, D.Sh., Tukhbatullina, A.A., and Shepelevich, I.S., Symmetry. 2022, vol. 14, p. 1800. https://doi.org/10.3390/sym14091800

Krivovichev, S.V., Mineral. Mag., 2013, vol. 77, pp. 275. https://doi.org/10.1180/minmag.2013.077.3.05

Aksenov, S.M., Yamnova, N.A., Borovikova, E.Yu., Stefanovich, S.Yu. Volkov, A.S., Deyneko, D.V., Dimitrova, O.V., Gurbanova, O.A., Khikson, A.E., and Krivovichev, S.V., J. Struct. Chem., 2020, vol. 61, p. 1760. https://doi.org/10.1134/S0022476620110104

Banaru, D.A., Hornfeck, W., Aksenov, S.M., and Banaru, A.M., CrystEngComm., 2023, vol. 25, p. 2144. https://doi.org/10.1039/D2CE01542K

Banaru, A.M., Aksenov, S.M., and Krivovichev, S.V., Symmetry, 2021, vol. 13, p. 1399. https://doi.org/10.3390/sym13081399

Sabirov, D.S., Ori, O., Tukhbatullina, A.A., and Shepelevich, I.S., Symmetry, 2021, vol. 13, p. 1899. https://doi.org/10.3390/sym13101899

Sabirov, D.Sh., Comput. Theor. Chem, 2016, vol. 1097, p. 83. https://doi.org/10.1016/j.comptc.2016.10.014

Bonchev, D.G., Bulgar. Chem. Commun., 1995, vol. 28, p. 567.

Basak, S.C., in: Big Data Analytics in Chemoinformatics and Bioinformatics (With Applications to Computer-Aided Drug Design, Cancer Biology, Emerging Pathogens and Computational Toxicology), Basak, S.C. and Vračko, M., Eds., Elsevier, 2023, pp. 3–35.

Bertz, S.H., New J. Chem., 2003, vol. 27, p. 860. https://doi.org/10.1039/B210843G

Karreman, G., Bull. Math. Biol., 1955, vol. 17, p. 279. https://doi.org/10.1007/BF02477754

Kobozev, N.I., Zh. Fiz. Khim., 1966, vol. 40, p. 281.

Kobozev, N.I., Strakhov, B.V., and Rubashov, A.M., Zh. Fiz. Khim., 1971, vol. 45, p. 86.

Kobozev, N.I., Strakhov, B.V., and Rubashov, A.M., Zh. Fiz. Khim., 1971, vol. 45, p. 375.

Ugi, I. and Gillespie, P., Angew. Chem., 1971, vol. 10, p. 914. https://doi.org/10.1002/anie.197109141

Sabirov, D.S., Comput. Theor. Chem., 2018, vol. 1123, p. 169. https://doi.org/10.1016/j.comptc.2017.11.022

Nielsen, M.A. and Chuang, I.L., Quantum Computation and Quantum Information, Cambridge University Press, 2001.

Sabirov, D.Sh., Terentyev, O.A., and Sokolov, V.I., RSC Adv., 2016. vol. 6, p. 72230. https://doi.org/10.1039/C6RA12228K

Tukhbatullina, A.A., Shepelevich, I.S., and Sabirov, D.Sh., Vestn. Bashkir. Univ., 2022, vol. 27, no. 2, p. 349. https://doi.org/10.33184/bulletin-bsu-2022.2.16

Özbek, M.O. and van Santen, R.A., Catal. Lett., 2013, vol. 143, p. 131. https://doi.org/10.1007/s10562-012-0957-3

Xie, Y.-P., Shen, Y.-L., Duan, G.-X., Han, J., Zhang, L.-P., and Lu, X., Mater. Chem. Front., 2020, vol. 4, p. 2205. https://doi.org/10.1039/D0QM00117A