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Simple Semicontinuum Vibronic Model of the F Center

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Abstract

This is an extension of our earlier work on the F center1. We had calculated the thermal ionization rates of excited F centers (F*) in KCl using experimental data on the F center photoionization efficiency and luminescent lifetime. When plotting them versus the respective reciprocal temperatures, considerable deviations from the Arrhenius temperature behavior were found to occur below 100 K leading to a nonvanishing residual ionizability at low temperature. These were suspected to result from a strong lattice tunneling at the lower temperatures. A reaction-rate theory was applied for a quantitative analysis which expresses the rate constant in terms of four adjustable parameters: vibrational frequency ω, lattice-reorganizational energy Er, reaction heat Q at 0 K, and electron-exchange integral V12.2 The ionization transition was regarded as the one in which the F* electron transferred to a polaron state by virtue of the strong interaction with a promoting mode. Very reasonable values were obtained for the fitting parameters, as the theory was compared numerically with the experiment. V12 was also estimated independently within the BWK approximation resulting in a remarkable agreement between fitted and computed values.

© 1984 Optical Society of America

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