Abstract
AbstractThe dynamic behaviour of a chemical system made of two coupled reactions is compared with that of a mechanical system consisting of two oscillating bodies connected by springs. First, the principle of energy departure from equilibrium is employed to derive the motion equations of both systems. Subsequently, the relevant characteristic frequencies and the amplitude parameters are obtained and analysed in terms of “Normal Modes”. The results show that systems belonging to different branches of science can be analysed using the same methodologies. To elucidate the application of Normal Modes to chemistry, the dynamic analysis of a system consisting of a proton transfer reaction coupled to a complex formation reaction is described in the Supporting Information: the procedure enables the evaluation of rate constants, equilibrium constants and reaction enthalpies of a reacting chemical system made of two coupled reactions. The method is then extended to a cycle of three reactions.
Publisher
Springer Science and Business Media LLC
Subject
Physical and Theoretical Chemistry,Molecular Biology,Biochemistry,Biophysics
Reference30 articles.
1. Eigen, M.: Proton transfer, acid-base catalysis, and enzymatic hydrolysis. Part I: Elementary processes. Angew. Chem. Int. Ed. Engl. 3, 1–19 (1964)
2. Hurwitz, P., Kustin, K.: Kinetics of fast electron-transfer reactions. Inorg. Chem. 3, 823–826 (1964)
3. Morris, W.D., Mayer, J.M.: Separating proton and electron transfer effects in three-component concerted proton-coupled electron transfer reactions. J. Am. Chem. Soc. 139, 10312–10319 (2017)
4. Eigen, M., Wilkins, R.G.: The kinetics and mechanism of formation of metal complexes. Mech. Inorg. React. 49, 55–80 (1965)
5. Biver, T., Kraiem, M., Secco, F., Venturini, M.: On the mechanism of indium(III) complex formation with metallochromic indicators. Polyhedron 156, 6–13 (2018)