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Spin-vibrational interactions in geminate radical pairs: Effective spin Hamiltonian including anharmonicity

  • Elementary Physicochemical Processes
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Abstract

An equation for the effective spin Hamiltonian including the interaction of radical pair spins with vibrations in both linear and higher approximations was obtained. Even in the linear approximation, the Hamiltonian was found to be non-Heisenberg. The influence of a sound field on the probability of geminate radical pair recombination is considered in the Appendix. The results obtained can be of use for solving certain nanochemistry problems.

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References

  1. S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Nauka, Moscow, 1975; Plenum, New York, 1967).

    Google Scholar 

  2. S. I. Kubarev, I. S. Kubareva, and I. P. Shapkarin, Dokl. Akad. Nauk 379(2), 219 (2001) [Dokl. Phys. Chem. 379 (1–3), 179 (2001)].

    CAS  Google Scholar 

  3. S. I. Kubarev, E. A. Ermakova, I. S. Kubareva, and I. P. Shapkarin, Khim. Fiz. 21(2), 26 (2002).

    CAS  Google Scholar 

  4. S. I. Kubarev, I. S. Kubareva, and I. P. Shapkarin, Khim. Fiz. 21(2), 35 (2002).

    CAS  Google Scholar 

  5. I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 32, 1547 (1957).

    Google Scholar 

  6. T. Moriya, J. Appl. Phys. 39(2), 1042 (1968).

    Article  CAS  Google Scholar 

  7. R. L. Carlin, Magnetochemistry (Springer, New York, 1986; Mir, Moscow, 1989).

    Google Scholar 

  8. B. S. Tsukerblat and M. I. Belinskii, Magnetochemistry and Radiospectroscopy of Exchange Clusters (Shtiintsa, Chisinau, 1983) [in Russian].

    Google Scholar 

  9. Yu. A. Izyumov, N. M. Plakida, and Yu. N. Skryabin, Usp. Fiz. Nauk 159(4), 621 (1989).

    Article  CAS  Google Scholar 

  10. A. Bencini and D. Gatteschi, Electron Paramagnetic Resonance of Exchange Coupled Systems (Springer, Berlin, 1990).

    Google Scholar 

  11. S. N. Dobryakov, A. K. Mamitkulova, and N. N. Barabanova, Khim. Fiz. 16(5), 76 (1997).

    CAS  Google Scholar 

  12. A. I. Aleksandrov, Yu. A. Borisov, and S. N. Dobryakov, Dokl. Akad. Nauk 376(1), 59 (2001) [Dokl. 376 (1–3), 5 (2001)].

    CAS  Google Scholar 

  13. S. I. Kubarev, I. S. Kubareva, O. A. Ponomarev, and I. P. Shapkarin, Dokl. Akad. Nauk 388(5), 634 (2003) [Dokl. Phys. Chem. 388 (4–6), 53 (2003)].

    Google Scholar 

  14. S. I. Kubarev, A. A. Belyaev, and I. S. Kubareva, Dokl. Akad. Nauk 401(3), 357 (2005) [Dokl. Phys. Chem. 401 (1–3), 32 (2005)].

    Google Scholar 

  15. S. I. Kubarev and O. A. Ponomarev, Effect of Dynamic Coupling in Statistical Physics (Nauka, Moscow, 1992) [in Russian].

    Google Scholar 

  16. S. I. Kubarev and O. A. Ponomarev, Fiz. Met. Metalloved. 251, 977 (1968).

    Google Scholar 

  17. S. I. Kubarev and O. A. Ponomarev, Phys. Lett. A 26, 633 (1968).

    Article  Google Scholar 

  18. N. Kh. Bigbaev, A. I. Ivanov, G. S. Lomakin, and O. A. Ponomarev, Zh. Eksp. Teor. Fiz. 74, 2154 (1978).

    Google Scholar 

  19. N. U. Nazarov and O. A. Ponomarev, Phys. Lett. A 164, 447 (1992).

    Article  CAS  Google Scholar 

  20. O. A. Ponomarev, S. I. Kubarev, I. S. Kubareva, et al., Chem. Phys. Lett. 388, 231 (2004).

    Article  CAS  Google Scholar 

  21. F. A. Chmilenko and A. N. Baklanov, Vopr. Khim. Khim. Tekhnol., No. 2, 22 (2001).

  22. M. A. Margulis, Fundamentals of Sonochemistry (Chemical Reactions in Acoustic Fields) (Vysshaya Shkola, Moscow, 1984) [in Russian].

    Google Scholar 

  23. S. I. Kubarev, I. S. Kubareva, and E. A. Ermakova, Khim. Fiz. 14(8), 110 (1995).

    CAS  Google Scholar 

  24. S. I. Kubarev, I. S. Kubareva, and I. P. Shapkarin, Effect of Magnetic Field on Spin-Selective Processes in Condensed Phase (Izd. MGUDT, Moscow, 2005) [in Russian].

    Google Scholar 

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Original Russian Text © S.I. Kubarev, A.S. Shigaev, I.S. Kubareva, V.O. Ponomarev, O.A. Ponomarev, 2008, published in Khimicheskaya Fizika, 2008, Vol. 27, No. 5, pp. 5–18.

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Kubarev, S.I., Shigaev, A.S., Kubareva, I.S. et al. Spin-vibrational interactions in geminate radical pairs: Effective spin Hamiltonian including anharmonicity. Russ. J. Phys. Chem. B 2, 329–342 (2008). https://doi.org/10.1134/S1990793108030019

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  • DOI: https://doi.org/10.1134/S1990793108030019

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