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Doktorov AB, Lukzen NN. Magnetic Field Effect in Bimolecular Rate Constant of Radical Recombination. Int J Mol Sci 2023; 24:ijms24087555. [PMID: 37108719 PMCID: PMC10139179 DOI: 10.3390/ijms24087555] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/28/2023] [Revised: 04/17/2023] [Accepted: 04/18/2023] [Indexed: 04/29/2023] Open
Abstract
The influence of magnetic fields on chemical reactions, including biological ones, has been and still is a topical subject in the field of scientific research. Experimentally discovered and theoretically substantiated magnetic and spin effects in chemical radical reactions form the basis of research in the field of spin chemistry. In the present work, the effect of a magnetic field on the rate constant of the bimolecular spin-selective recombination of radicals in the bulk of a solution is considered theoretically for the first time, taking into account the hyperfine interaction of radical spins with their magnetic nuclei. In addition, the paramagnetic relaxation of unpaired spins of the radicals and the non-equality of their g-factors that also influence the recombination process are taken into account. It is found that the reaction rate constant can vary in magnetic field from a few to half a dozen percent, depending on the relative diffusion coefficient of radicals, which is determined by the solution viscosity. It is shown that the consideration of hyperfine interactions gives rise to the presence of resonances in the dependence of the rate constant on the magnetic field. The magnitudes of the magnetic fields of these resonances are determined by the hyperfine coupling constants and difference in the g-factors of the recombining radicals. Analytical expressions for the reaction rate constant of the bulk recombination for magnetic fields larger than hfi (hyperfine interaction) constants are obtained. In general, it is shown for the first time that accounting for hyperfine interactions of radical spins with magnetic nuclei significantly affects the dependence of the reaction rate constant of the bulk radical recombination on the magnetic field.
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Affiliation(s)
- Alexander B Doktorov
- International Tomography Center SB RAS, 630090 Novosibirsk, Russia
- Voevodsky Institute of Chemical Kinetics and Combustion SB RAS, 630090 Novosibirsk, Russia
| | - Nikita N Lukzen
- International Tomography Center SB RAS, 630090 Novosibirsk, Russia
- Physics Faculty, Novosibirsk State University, 630090 Novosibirsk, Russia
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Petrova MV, Stass DV, Lukzen NN. Radical recombination in ultrahigh magnetic fields. Russ Chem Bull 2022. [DOI: 10.1007/s11172-021-3351-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Lukzen NN, Ivanov KL, Sadovsky VM, Sagdeev RZ. Magnetic field effect on recombination of radicals diffusing on a two-dimensional plane. J Chem Phys 2020; 152:034103. [PMID: 31968965 DOI: 10.1063/1.5131583] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Magnetic Field Effects (MFEs) on the recombination of radicals, which diffuse on an infinite plane, are studied theoretically. The case of spin-selective diffusion-controlled recombination of Radical Pairs (RPs) starting from a random spin state is considered assuming uniform initial distribution of the radicals. In this situation, reaction kinetics is described by a time-dependent rate coefficient K(t), which tends to zero at long times. Strong MFEs on K(t) are predicted that originate from the Δg and hyperfine driven singlet-triplet mixing in the RP. The effects of spin relaxation on the magnetic field are studied, as well as the influence of the dipole-dipole interaction between the electron spins of the RP. In the two-dimensional case, this interaction is not averaged out by diffusion and it strongly affects the MFE. The results of this work are of importance for interpreting MFEs on lipid peroxidation, a magnetosensitive process occurring on two-dimensional surfaces of cell membranes.
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Affiliation(s)
- Nikita N Lukzen
- International Tomography Center, Siberian Branch, Russian Academy of Sciences, Institutskaya Str. 3a, Novosibirsk 630090, Russia
| | - Konstantin L Ivanov
- International Tomography Center, Siberian Branch, Russian Academy of Sciences, Institutskaya Str. 3a, Novosibirsk 630090, Russia
| | - Vladimir M Sadovsky
- Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences, Akademgorodok 50/44, Krasnoyarsk 660036, Russia
| | - Renad Z Sagdeev
- International Tomography Center, Siberian Branch, Russian Academy of Sciences, Institutskaya Str. 3a, Novosibirsk 630090, Russia
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Lukzen NN, Klein JH, Lambert C, Steiner UE. The Quantum Dynamical Basis of a Classical Kinetic Scheme Describing Coherent and Incoherent Regimes of Radical Pair Recombination. ACTA ACUST UNITED AC 2016. [DOI: 10.1515/zpch-2016-0833] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
In recent work from this group (J. H. Klein et al. J. Am. Chem. Soc. 2015, 137, 11011), the magnetic field dependent charge recombination kinetics in donor/Ir-complex/acceptor triads has been determined with outstanding accuracy and reproducibility. The field-dependent kinetics has been analyzed in terms of a classical reaction scheme including the field-independent rate parameters of singlet recombination (rate constant k
S) and S/T0 mixing (rate constant k
ST0) and the field-dependent rate constant k±(B) connecting central and outer Zeeman levels. In the present work, the extraction of k± from the experimental data is more precisely defined and the appearance of a “coherent” and “incoherent” regime of spin motion in a double log plot of k± vs. B is confirmed. The experimental decay curves have been reproduced by a full quantum dynamical model based on the stochastic Liouville equation, which was solved numerically, taking into account isotropic hyperfine coupling with five nuclear spins (1 N on donor radical, 4 H on acceptor radical) and anisotropic hyperfine coupling with the nitrogen nucleus at the donor radical. The results of the quantum calculations serve as a rigorous basis of interpreting the classical parameter k±. Furthermore, it is demonstrated that the incoherent part of spin motion is essential for a full understanding of the charge recombination kinetics even in the “coherent” regime.
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Affiliation(s)
- Nikita N. Lukzen
- Novosibirsk State University, Pirogova Str. 2, and International Tomography Center, Siberian Branch Russian Academy of Science, Institutskaya 3a, Novosibirsk 630090, Russian Federation
| | - Johannes H. Klein
- Institut für Organische Chemie, Wilhelm Conrad Röntgen Research Center for Complex Material Systems, Center for Nanosystems Chemistry, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
| | - Christoph Lambert
- Institut für Organische Chemie, Wilhelm Conrad Röntgen Research Center for Complex Material Systems, Center for Nanosystems Chemistry, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
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Burshtein AI, Ivanov AI. Diffusion affected magnetic field effect in exciplex fluorescence. J Chem Phys 2014; 141:024508. [DOI: 10.1063/1.4886809] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
| | - Anatoly I. Ivanov
- Volgograd State University, University Avenue, 100, Volgograd 400062, Russia
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Lukzen NN, Ivanov KL, Sadovsky VM, Kaptein R, Sagdeev RZ. Magnetic field and spin effects on the recombination of radicals on two-dimensional surfaces. DOKLADY PHYSICAL CHEMISTRY 2013. [DOI: 10.1134/s0012501613030056] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Dodin DV, Ivanov AI, Burshtein AI. Hyperfine interaction mechanism of magnetic field effects in sequential fluorophore and exciplex fluorescence. J Chem Phys 2013; 138:124102. [DOI: 10.1063/1.4795576] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Dodin DV, Ivanov AI, Burshtein AI. Magnetic field effect in fluorescence of excited fluorophore equilibrated with exciplex that reversibly dissociates into radical-ion pair undergoing the spin conversion. J Chem Phys 2012; 137:024511. [DOI: 10.1063/1.4734306] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Karogodina TY, Dranov IG, Sergeeva SV, Stass DV, Steiner UE. Kinetic Magnetic-Field Effect Involving the Small Biologically Relevant Inorganic Radicals NO and O2.−. Chemphyschem 2011; 12:1714-28. [DOI: 10.1002/cphc.201100178] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/07/2011] [Indexed: 11/05/2022]
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Abstract
The limitations and advantages of modern encounter theories of remote transfer are discussed, as well as their application to particular transfer reactions assisted by encounter diffusion. Comparison is made with contact multiparticle theories, Brownian dynamic simulations, and the actual experimental data requiring a distant description of energy and/or electron transfer.
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Ivanov KL, Lukzen NN. A novel method for calculating rate constants of diffusion-influenced reactions. J Chem Phys 2004; 121:5109-14. [PMID: 15352802 DOI: 10.1063/1.1782073] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In the present work we suggest a method for calculating rate constants of chemical processes affected by mobility of reactants. The method is based on the encounter theory. Unlike the widely accepted model of collision complexes it provides a general formal solution for practically arbitrary reaction scheme.
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Ivanov KL, Lukzen NN, Kipriyanov AA, Doktorov AB. The integral encounter theory of multistage reactions containing association–dissociation reaction stages : Part I. Kinetic equations. Phys Chem Chem Phys 2004. [DOI: 10.1039/b308267a] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Ivanov KL, Lukzen NN, Doktorov AB. The integral encounter theory of multistage reactions containing association–dissociation reaction stages : Part II. The kinetics of reversible excitation binding. Phys Chem Chem Phys 2004. [DOI: 10.1039/b308268g] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Hötzer KA, Klingert A, Klumpp T, Krissinel E, Bürssner D, Steiner UE. Temperature-Dependent Spin Relaxation: A Major Factor in Electron Backward Transfer Following the Quenching of *Ru(bpy)32+ by Methyl Viologen. J Phys Chem A 2001. [DOI: 10.1021/jp012558e] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - Andreas Klingert
- Fachbereich Chemie, Universität Konstanz, 78457 Konstanz, Germany
| | - Thomas Klumpp
- Fachbereich Chemie, Universität Konstanz, 78457 Konstanz, Germany
| | | | - Dieter Bürssner
- Fachbereich Chemie, Universität Konstanz, 78457 Konstanz, Germany
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Ivanov KL, Lukzen NN, Doktorov AB, Burshtein AI. Integral encounter theories of multistage reactions. I. Kinetic equations. J Chem Phys 2001. [DOI: 10.1063/1.1317526] [Citation(s) in RCA: 48] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Ivanov KL, Lukzen NN, Doktorov AB, Burshtein AI. Integral encounter theories of multistage reactions. II. Reversible inter-molecular energy transfer. J Chem Phys 2001. [DOI: 10.1063/1.1317527] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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