Handbook Of Thermoluminescence

F: Fading Frequency Factor and Pre-Exponential Factor Expressions

Fading (Theoretical Aspects)

To study, theoretically, the fading effects in various situations simulating practical cases, it is possible to consider the simple TL system, shown in Fig.1, in which only one kind of electron trap and one recombination center are present. In such a case, the system of equations describing the traffic of charges between the trapping levels and the conduction and valence bands is the following [1,2,3,4,5]:

(1a)
(1b)
(1c)
(1d)

where

  • n is the trapped electron concentration (cm ?3) at time t

  • n* is the electron concentration (cm ?3) in the CB at time t

  • m is the trapped hole concentration (cm ?3) at time t

  • m* is the hole concentration (cm ?3) in the VB at time t

  • N is the total density of electron traps (cm ?3)

  • M is the total density of recombination centers (cm ?3)

  • A n is the probability factor for electron trapping (cm ?3 sec ?1)

  • A m is the recombination probability of electrons from the CB with holes in centers (cm ?3 sec ?1)

  • A h is the probability factor for hole capture (cm ?3 sec ?1)

  • s is the frequency factor for electron traps (sec ?1)

  • E is the thermal activation energy for electron traps (eV).

  • sh is the frequency factor for recombination centers (sec ?1)

  • Eh is the thermal activation energy for...

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