A Course in Luminescence Measurements and Analyses for Radiation Dosimetry. Stephen W. S. McKeever

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СКАЧАТЬ Bose-Einstein statistics as 1/(1+ exp{−Eph/kT}). Thus, the availability of sufficiently energetic phonons increases with temperature, giving rise to an exponential dependence of the capture cross-section on temperature (exp{−Eph/kT}). The cascade-capture mechanism is likely to be combined with the multi-phonon mechanism, especially for the last excited-state to ground-state transition. Thus, a combination of a power-law dependence on T and an exponential dependence on T might be expected. Note that if Eph is small, the dependence will approximate to the power law T−a.

      Shockley-Read-Hall recombination requires a combination of two of the above capture processes. First, capture of (say) a hole is required, followed by capture of an electron by the trapped hole and consequent electron-hole recombination.

      Exercise 2.3

From the literature, look up discussions of radiative transitions, Auger processes, cascade capture, and multi-phonon relaxation. Under what conditions might one process be expected compared to another?

      Notes

      1 1. The author is grateful to P.D. Townsend for this comment.

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