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
S. V. Tyablikov, Methods in the Quantum Theory of Magnetism (Nauka, Moscow, 1975; Plenum, New York, 1967).
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)].
S. I. Kubarev, E. A. Ermakova, I. S. Kubareva, and I. P. Shapkarin, Khim. Fiz. 21(2), 26 (2002).
S. I. Kubarev, I. S. Kubareva, and I. P. Shapkarin, Khim. Fiz. 21(2), 35 (2002).
I. E. Dzyaloshinskii, Zh. Eksp. Teor. Fiz. 32, 1547 (1957).
T. Moriya, J. Appl. Phys. 39(2), 1042 (1968).
R. L. Carlin, Magnetochemistry (Springer, New York, 1986; Mir, Moscow, 1989).
B. S. Tsukerblat and M. I. Belinskii, Magnetochemistry and Radiospectroscopy of Exchange Clusters (Shtiintsa, Chisinau, 1983) [in Russian].
Yu. A. Izyumov, N. M. Plakida, and Yu. N. Skryabin, Usp. Fiz. Nauk 159(4), 621 (1989).
A. Bencini and D. Gatteschi, Electron Paramagnetic Resonance of Exchange Coupled Systems (Springer, Berlin, 1990).
S. N. Dobryakov, A. K. Mamitkulova, and N. N. Barabanova, Khim. Fiz. 16(5), 76 (1997).
A. I. Aleksandrov, Yu. A. Borisov, and S. N. Dobryakov, Dokl. Akad. Nauk 376(1), 59 (2001) [Dokl. 376 (1–3), 5 (2001)].
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)].
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)].
S. I. Kubarev and O. A. Ponomarev, Effect of Dynamic Coupling in Statistical Physics (Nauka, Moscow, 1992) [in Russian].
S. I. Kubarev and O. A. Ponomarev, Fiz. Met. Metalloved. 251, 977 (1968).
S. I. Kubarev and O. A. Ponomarev, Phys. Lett. A 26, 633 (1968).
N. Kh. Bigbaev, A. I. Ivanov, G. S. Lomakin, and O. A. Ponomarev, Zh. Eksp. Teor. Fiz. 74, 2154 (1978).
N. U. Nazarov and O. A. Ponomarev, Phys. Lett. A 164, 447 (1992).
O. A. Ponomarev, S. I. Kubarev, I. S. Kubareva, et al., Chem. Phys. Lett. 388, 231 (2004).
F. A. Chmilenko and A. N. Baklanov, Vopr. Khim. Khim. Tekhnol., No. 2, 22 (2001).
M. A. Margulis, Fundamentals of Sonochemistry (Chemical Reactions in Acoustic Fields) (Vysshaya Shkola, Moscow, 1984) [in Russian].
S. I. Kubarev, I. S. Kubareva, and E. A. Ermakova, Khim. Fiz. 14(8), 110 (1995).
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].
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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