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On Relations Between Singlet and Triplet Recombination Yields for Singlet and Triplet Precursors

  • Alexander B. Doktorov EMAIL logo
Published/Copyright: August 23, 2016

Abstract

The relations have been analytically derived for recombination yields of radical pairs with different precursor states and by different reaction channels (singlet and/or triplet) in arbitrary magnetic and microwave fields. Recombination of two particles from a radical pair mostly with anisotropic reactivity is assumed to take place in a narrow reaction zone, and relative translation motion including rotation of reactants may be an arbitrary stochastic process. In addition, the approach may take into account the time-dependent spin Hamiltonian. The novel method for the calculation of recombination yields is suggested, and general expressions for recombination yields are derived for strong singlet-triplet dephasing. Some of the relations and expressions are the basis of the results given in the literature and their generalization to the case of non-model reacting systems that does not use simplification of reactants structure and reactants motion in solutions.


Dedicated to: Kev Salikhov on the occasion of his 80th birthday.


Acknowledgements

The author is grateful to the Federal Agency of Scientific Organizations for financial support (project No 44.1.5.) and to Dr. Pedersen J.B. for stimulating discussions.

References

1. J. B. Pedersen, J. H. Freed, J. Chem. Phys. 61 (1974) 1517.10.1063/1.1682096Search in Google Scholar

2. J. H. Freed, J. B. Pedersen, Adv. Magn. Res. 8 (1976) 1.10.1016/B978-0-12-025508-5.50006-2Search in Google Scholar

3. A. B. Doktorov, J. B. Pedersen, Chem. Phys. 322 (2006) 433.10.1016/j.chemphys.2005.09.013Search in Google Scholar

4. K. M. Salikhov, Y. N. Molin, R. Z. Sagdeev, A. L. Buchachenko, Spin Polarization and Magnetic Field Effects in Radical Reactions. Elsevier, Amsterdam (1984).Search in Google Scholar

5. N. N. Lukzen, J. B. Pedersen, A. I. Burshtein, J. Phys. Chem. A 109 (2005) 11914.10.1021/jp053539ySearch in Google Scholar

6. A. B. Doktorov, J. B. Pedersen, Chem. Phys. Lett. 423 (2006) 208.10.1016/j.cplett.2006.03.078Search in Google Scholar

7. N. N. Korst, A. V. Lazarev, Physica 42 (1969) 31.10.1016/0031-8914(69)90085-8Search in Google Scholar

8. J. B. Pedersen, J. H. Freed, J. Chem. Phys. 58 (1973) 2746.10.1063/1.1679576Search in Google Scholar

9. A. B. Doktorov, A. A. Kipriyanov, J. Chem. Phys. 140 (2014) 184104.10.1063/1.4874001Search in Google Scholar

10. A. I. Abragam, The Principles of Nuclear Magnetism. Oxford University Press, New York (1961).10.1063/1.3057238Search in Google Scholar

11. A. A. Kipriyanov, A. B. Doktorov, Physica A 230 (1996) 75.10.1016/0378-4371(96)00043-XSearch in Google Scholar

12. W. Magnus, Comm. Pure and Appl. Math. VII (1954) 649.10.1002/cpa.3160070404Search in Google Scholar

13. P. A. Purtov, A. B. Doktorov, Chem. Phys. 178 (1993) 47.10.1016/0301-0104(93)85050-ISearch in Google Scholar

14. A. B. Doktorov, in Recent Research Development in Chemical Physics. Volume 6, Chapter 6 (Ed. S. G. Pandalai), Transworld Research Network, Kerala, India (2012), P. 135.Search in Google Scholar

15. A. B. Doktorov, J. Chem. Phys. 143 (2015) 074117.10.1063/1.4928640Search in Google Scholar

16. V. M. Berdnikov, A. B. Doktorov, Chem. Phys. 69 (1982) 205.10.1016/0301-0104(82)88147-0Search in Google Scholar

17. G. Wilemsky, M. J. Fixman Chem. Phys. 58(1973) 4009.10.1063/1.1679757Search in Google Scholar

18. M. Doi, Chem. Phys. 11 (1975) 115.10.1016/0301-0104(75)80044-9Search in Google Scholar

Received: 2016-5-27
Accepted: 2016-7-14
Published Online: 2016-8-23
Published in Print: 2017-2-1

©2017 Walter de Gruyter GmbH, Berlin/Boston

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