Abstract
Magnetic and spin effects in chemical reactions are caused by the effect of spin bans, which control the elementary acts of radical and ion-radical reactions involving, as a rule, two paramagnetic particles. Any description of spin bans acting in chemical and enzymatic reactions, which is accompanied by transfer of several electrons, as well as in the reactions of high spin molecules, requires knowledge of spin states. It is shown that spin states of multi-electron states should be described by a spin density matrix; rules for their construction are given and their properties are described. As a first step, the construction of four-density matrix is described in detail. The application of four- and three-spin density matrixes is shown for analyzing the formation of superoxide anion in respiratory chains of mitochondria.
Similar content being viewed by others
References
A. L. Buchachenko, R. Z. Sagdeev, and K. M. Salikhov, Magnetic and Spin Effects in Chemical Reactions (Nauka, Novosibirsk, 1978) [in Russian].
A. L. Buchachenko, Chemical Polarisation of Electrons and Nuclei (Nauka, Moscow, 1994) [in Russian].
A. L. Buchachenko, Chem. Rev. 95, 2507 (1995).
A. L. Buchachenko and V. L. Berdinskiy, Chem. Rev. 102, 603 (2002).
A. L. Buchachenko and E. L. Frankevich, Chemical Generation and Reception of Radio- and Microwaves (VCH, New York, 1994).
A. L. Buchachenko, New Isotopy in Chemistry and Biochemistry (Nauka, Moscow, 2007) [in Russian].
A. L. Buchachenko and D. A. Kuznetsov, Vestn. Ross. Akad. Nauk 78(7), 579 (2008).
A. L. Buchachenko and D. A. Kuznetsov, J. Am. Chem. Soc. 130, 12868 (2008).
U. G. Shevchenko, E. I. Avdeeva, and V. L. Berdinskii, Russ. J. Phys. Chem. B 6, 531 (2012).
G. Jeschke and J. Matysik, Chem. Phys. 294, 239 (2003).
O.-M. H. Richter and B. Ludwig, Rev. Physiol. Biochem. Pharmacol. 147, 47 (2003).
J. Postgate, Nitrogen Fixation (Cambridge Univ. Press, Cambridge, UK, 1998).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1969; Pergamon, New York, 1977).
A. B. Migdal, The Theory of Finite Fermi Systems and The Properties of Nuclei (Nauka, Moscow, 1982) [in Russian].
K. Blum, Density Matrix Theory and Applications (Plenum, New York, 1996; Mir, Moscow, 1983).
Y. Liu, R. Edge, K. Henbest, et al., Chem. Commun., 174 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.R. Arifullin, V.L. Berdinskii, 2013, published in Zhurnal Fizicheskoi Khimii, 2013, Vol. 87, No. 7, pp. 1208–1212.
Rights and permissions
About this article
Cite this article
Arifullin, M.R., Berdinskii, V.L. Spin states of multielectron systems and the action of multi-spin bans. Russ. J. Phys. Chem. 87, 1186–1190 (2013). https://doi.org/10.1134/S0036024413070042
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0036024413070042