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The angular dependence of the multipole–multipole interaction for energy transfer
Authors:Thomas Luxbacher  Harald P Fritzer  James P Riehl  Colin D Flint
Institution:Institut für Physikalische und Theoretische Chemie, Technische Universit?t Graz, Rechbauerstrasse 12, A-8010 Graz, Austria, AT
Department of Chemistry, Michigan Technical University, 1400 Townsend Drive, Houghton, MI 49931, USA, US
Laser Laboratory, Department of Chemistry, Birkbeck College, University of London, 29 Gordon Square, London WC1H 0PP, UK, GB
Abstract:The interaction between multipoles is not isotropic even in cubic systems. This results in the introduction of geometric reduction factors in the calculation of energy-transfer rates in crystals. We derive these reduction factors for the cases of dipole–dipole, dipole–quadrupole, and quadrupole–quadrupole couplings and present a general procedure for their derivation in other cases. For the dipole–dipole case the geometric factor is independent of the distribution of the acceptor species, but for higher-order couplings, a significant angular dependence is found. Received: 6 November 1998 / Accepted: 15 January 1999 / Published online: 7 June 1999
Keywords:: Energy transfer  Shell model  Multipolar interaction  Angular dependence  Elpasolite crystal
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