{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:20:59Z","timestamp":1760239259356,"version":"build-2065373602"},"reference-count":13,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2020,10,21]],"date-time":"2020-10-21T00:00:00Z","timestamp":1603238400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>For a complex catalytic reaction with a single-route linear mechanism, a new, kinetico-thermodynamic form of the steady-state reaction rate is obtained, and we show how its symmetries in terms of the kinetic and thermodynamic parameters allow better discerning their influence on the result. Its reciprocal is equal to the sum of n terms (n is the number of complex reaction steps), each of which is the product of a kinetic factor multiplied by a thermodynamic factor. The kinetic factor is the reciprocal apparent kinetic coefficient of the i-th step. The thermodynamic factor is a function of the apparent equilibrium constants of the i-th equilibrium subsystem, which includes the (n\u22121) other steps. This kinetico-thermodynamic form separates the kinetic and thermodynamic factors. The result is extended to the case of a buffer substance. It is promising for distinguishing the influence of kinetic and thermodynamic factors in the complex reaction rate. The developed theory is illustrated by examples taken from heterogeneous catalysis.<\/jats:p>","DOI":"10.3390\/sym12101748","type":"journal-article","created":{"date-parts":[[2020,10,23]],"date-time":"2020-10-23T02:01:42Z","timestamp":1603418502000},"page":"1748","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Single-Route Linear Catalytic Mechanism: A New, Kinetico-Thermodynamic Form of the Complex Reaction Rate"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8970-1943","authenticated-orcid":false,"given":"Gregory S.","family":"Yablonsky","sequence":"first","affiliation":[{"name":"McKelvey School of Engineering, Department of Energy, Environmental and Chemical Engineering, Washington University in St. Louis, St. Louis, MO 63130-4899, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6826-6185","authenticated-orcid":false,"given":"Denis","family":"Constales","sequence":"additional","affiliation":[{"name":"Department of Electronics and Information Systems ELIS, Ghent University, B-9052 Gent, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6733-1213","authenticated-orcid":false,"given":"Guy B.","family":"Marin","sequence":"additional","affiliation":[{"name":"Laboratory for Chemical Technology, Ghent University, B-9052 Gent, Belgium"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,10,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1375","DOI":"10.1021\/j150544a010","article-title":"A schematic method of deriving the ratelaws for enzyme-catalyzed reactions","volume":"60","author":"King","year":"1956","journal-title":"J. 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Nauk SSSR"},{"key":"ref_6","unstructured":"Yablonskii, G.S., Bykov, V.I., and Gorban, A.N. (1983). Kinetic Models of Catalytic Reactions, Nauka. (In Russian)."},{"key":"ref_7","unstructured":"Compton, R.G. (1991). Kinetic Models of Catalytic Reactions, Elsevier."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Marin, G.B., Yablonsky, G.S., and Constales, D. (2019). Kinetics of Chemical Reactions: Decoding Complexity, Wiley-VCH. [2nd ed.].","DOI":"10.1002\/9783527808397"},{"key":"ref_9","unstructured":"Marin, G.B., West, D.H., and Yablonsky, G.S. (2008). Overall reaction rate equation of single-route complex catalytic reactions in terms of hypergeometric series. Advances in Chemical Engineering\u2014Mathematics in Chemical Engineering and Kinetics, Elsevier."},{"key":"ref_10","unstructured":"Passare, M. (1998). 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Phys."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"37","DOI":"10.3390\/reactions1010004","article-title":"Requiem for the Rate-Determining Step in Complex Heterogeneous Catalytic Reactions?","volume":"1","author":"Murzin","year":"2020","journal-title":"Reactions"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/10\/1748\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:25:27Z","timestamp":1760178327000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/10\/1748"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,21]]},"references-count":13,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2020,10]]}},"alternative-id":["sym12101748"],"URL":"https:\/\/doi.org\/10.3390\/sym12101748","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,10,21]]}}}