Abstract
The nature of the exchange interaction is illustrated by a simple example, which is treated in detail, and the phenomenological nature of the Heisenberg Hamiltonian is emphasized. First-order perturbation theory is then used to calculate the splitting of the resonance lines of two paramagnetic centers coupled by weak exchange and dipolar interactions. The magnitude of the splitting is compared with that obtained from numerically calculated spectra. The cases of polynuclear transition ion complexes and biradicals, in which strong exchange interactions exist, are treated by using equivalent operators. They are illustrated by several spectra displayed by typical pairs. The intensity of spectra given by coupled paramagnetic centres and their relaxation properties are discussed.
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References
Altenbach C. et al. (2005) Biophysical Journal 89: 2103-2112.
Atherton N.M. (1993) Principles of Electron Spin Resonance, Ellis Horwood PTR Prentice Hall, New York.
Ayant Y. & Belorizky E. (2000) Cours de mécanique quantique, Dunod, Paris.
Belorizky E. & Fries P.H. (1993) Journal de Chimie Physique 90: 1077-1100.
Bencini A. & Gatteschi D. (1990) EPR of Exchange Coupled Systems, Springer-Verlag, Berlin.
Bertrand P., Guigliarelli B. & More C. (1991) New Journal of Chemistry 15: 445-454.
Blanchard S. et al. (2003) Inorganic Chemistry 42: 4568-4578.
Blondin G. & Girerd J.-J. (1990) Chemical Review 90: 1359-1376.
Caldeira J. et al. (2000) Biochemistry 39: 2700-2707.
Caneschi A. et al. (1988) Inorganic Chemistry 27: 1031-1035.
Catala L. et al. (2001) Chemistry: A European Journal 7: 2466-2480.
Crouse B.R. et al. (1995) Journal of the American Chemical Society 117: 9612-9613.
Fournel A. et al. (1998) Journal of Chemical Physics 109: 10905-10913.
Gibson J.F. et al. (1966) Proceeding of the National Academy of Sciences of the USA 56: 987-990.
Gordy W. (1980) Theory and Applications of Electron Spin Resonance, John Wileys and Sons, New York.
Guigliarelli B. et al. (1995) Biochemistry 34: 4781-4790.
Guigliarelli B. & Bertrand P. (1999) Advances in Inorganic Chemistry 47: 421-497.
Heinrich B. (2005) “Radio Frequency Techniques”, in Ultrathin Magnetic Structures II, Heinrich B. & Bland J.A.C. eds, Springer Verlag, Berlin.
Hureau C. et al. (2004) Chemistry-A European Journal 10: 1998-2010.
Kahn O. (1993) Molecular Magnetism, Wiley-VCH Publishers, New York.
More C. et al. (1996) Journal of Biological Chemistry 1: 152-161.
More C. et al. (2005) Biochemistry 44: 11628-11635.
Owen J. & Harris E.A. (1972) “ Pair Spectra and Exchange Interactions” in Electron Paramagnetic Resonance, Geschwind S. ed. Plenum Press, New York.
Smith T.D. & Pilbrow J.R. (1974) Coordination Chemistry Reviews 13: 173-278.
Schneider J. et al. (1968) Journal of Physics and Chemistry of Solids 29: 451-462.
Schweiger A. & Jeschke G. (2001) Principles of Pulse Electron Paramagnetic Resonance, Oxford University Press, Oxford.
Sweeney W.V. & Coffman R.E. (1972) Biochimica et Biophysica Acta 286: 26-35.
Wautelet P. et al. (2003) Journal of Organic Chemistry 68: 8025-8036.
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Bertrand, P. (2020). Effects of Dipolar and Exchange Interactions on the EPR Spectrum. Biradicals and Polynuclear Complexes. In: Electron Paramagnetic Resonance Spectroscopy. Springer, Cham. https://doi.org/10.1007/978-3-030-39663-3_7
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DOI: https://doi.org/10.1007/978-3-030-39663-3_7
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