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Journal of Physics C Solid State Physics

Energy transfer between different emitters and spatial diffusion in ruby

André Monteil, Eugène Duval

Published Aug 30, 1980• 9 citations
Publisher

Abstract

The energy transfer between single Cr 3+ ions and N 2 pairs in ruby is interpreted by energy diffusion on single ions. It is shown that the superexchange is responsible for this diffusion. The probability of transfer between single ions and the diffusion coefficient are evaluated. Experimental results on the transfers from fourth next-neighbour pairs to single ions and to third next-neighbour pairs are given. It appears that the diffusion is weak on the fourth NN pairs. The temperature dependence of the transfer probabilities are determined and interpreted.

DOI
10.1088/0022-3719/13/24/017

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The energy transfer between single Cr 3+ ions and N 2 pairs in ruby is interpreted by energy diffusion on single ions. It is shown that the superexchange is responsible for this diffusion. The probability of transfer between single ions and the diffusion coefficient are evaluated. Experimental results on the transfers from fourth next-neighbour pairs to single ions and to third next-neighbour pairs are given. It appears that the diffusion is weak on the fourth NN pairs. The temperature dependence of the transfer probabilities are determined and interpreted.
Using the critical percolation conductance method the energy-dependent diffusion coefficient associated with thermally assisted transfer of the R 1 line excitation between single Cr 3+ ions with strain-induced randomness has been calculated in the 4 A 2 to E( 2 E) transition energies. For localized states sufficiently far away from the mobility edge the energy transfer is dominated by dipolar interactions, while very close to the mobility edge it is determined by short-range exchange interactions. Using the above energy-dependent diffusion coefficient a macroscopic diffusion equation is solved for the rate of light emission by Cr 3+ ion-pair traps to which single-ion excitations are transferred. The dipolar mechanism leads to good agreement with recent measurements of the pair emission rate by Koo et al. (Phys. Rev. Lett., vol.35, p.1669 (1975)) right up to the mobility edge.
The transfer of energy from single chromium ions to closely coupled pairs of chromium ions in ruby has been investigated. Ruby samples whose concentrations ranged from 0.003 to 1.0% Cr2{\mathrm{Cr}}_{2}Cr2​O3{\mathrm{O}}_{3}O3​ were prepared and in each crystal the intensity of single-ion fluorescence and of pair fluorescence was accurately measured. Radiative-decay measurements were also made in an attempt to unravel the dynamics of the transfer process. The transfer from single ions to pairs is shown to occur nonradiatively, and its efficiency is enhanced by a fast energy transfer between individual single ions. The possibility is explored that an electric quadrupole-quadrupole interaction is responsible for this transfer process.
The transfer of energy from single chromium ions to closely coupled pairs of chromium ions in ruby has been investigated. Ruby samples whose concentrations ranged from 0.003 to 1.0% Cr2{\mathrm{Cr}}_{2}Cr2​O3{\mathrm{O}}_{3}O3​ were prepared and in each crystal the intensity of single-ion fluorescence and of pair fluorescence was accurately measured. Radiative-decay measurements were also made in an attempt to unravel the dynamics of the transfer process. The transfer from single ions to pairs is shown to occur nonradiatively, and its efficiency is enhanced by a fast energy transfer between individual single ions. The possibility is explored that an electric quadrupole-quadrupole interaction is responsible for this transfer process.
The transfer of energy from single chromium ions to closely coupled pairs of chromium ions in ruby has been investigated. Ruby samples whose concentrations ranged from 0.003 to 1.0 percent Cr2O3were prepared and in each crystal the intensity of single-ion fluorescence and of pair fluorescence was accurately measured. Radiative decay measurements were also made in an attempt to unravel the dynamics of the transfer process. The transfer from single ions to pairs is shown to occur nonradiatively, and its efficiency is enhanced by a fast energy transfer between individual single ions. The possibility is explored that an electric quadrupole-quadrupole interaction is responsible for this transfer process.