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Issue 15, 2015
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A practical approach to calculate the time evolutions of magnetic field effects on photochemical reactions in nano-structured materials

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Abstract

A practical method to calculate time evolutions of magnetic field effects (MFEs) on photochemical reactions involving radical pairs is developed on the basis of the theory of the chemically induced dynamic spin polarization proposed by Pedersen and Freed. In theory, the stochastic Liouville equation (SLE), including the spin Hamiltonian, diffusion motions of the radical pair, chemical reactions, and spin relaxations, is solved by using the Laplace and the inverse Laplace transformation technique. In our practical approach, time evolutions of the MFEs are successfully calculated by applying the Miller–Guy method instead of the final value theorem to the inverse Laplace transformation process. Especially, the SLE calculations are completed in a short time when the radical pair dynamics can be described by the chemical kinetics consisting of diffusions, reactions and spin relaxations. The SLE analysis with a short calculation time enables one to examine the various parameter sets for fitting the experimental date. Our study demonstrates that simultaneous fitting of the time evolution of the MFE and of the magnetic field dependence of the MFE provides valuable information on the diffusion motions of the radical pairs in nano-structured materials such as micelles where the lifetimes of radical pairs are longer than hundreds of nano-seconds and the magnetic field dependence of the spin relaxations play a major role for the generation of the MFE.

Graphical abstract: A practical approach to calculate the time evolutions of magnetic field effects on photochemical reactions in nano-structured materials

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Publication details

The article was received on 30 Jan 2015, accepted on 02 Mar 2015 and first published on 03 Mar 2015


Article type: Paper
DOI: 10.1039/C5CP00595G
Author version available: Download Author version (PDF)
Citation: Phys. Chem. Chem. Phys., 2015,17, 9737-9747
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    A practical approach to calculate the time evolutions of magnetic field effects on photochemical reactions in nano-structured materials

    T. Yago and M. Wakasa, Phys. Chem. Chem. Phys., 2015, 17, 9737
    DOI: 10.1039/C5CP00595G

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