Exact Solutions of the Kinetic Equations Governing Thermally Stimulated Luminescence and Conductivity

Kelly, Paul J.; Laubitz, M. J.; Bräunlich, P.

doi:10.1103/physrevb.4.1960

Cited by 129 publications

(55 citation statements)

References 13 publications

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“…The results of this paper confirm, in principle, the presence of previously found [9,11,13] restriction of validity of the QE assumption for crystals with low density of imperfections.…”

Section: Discussionsupporting

confidence: 79%

“…Assuming that the recombination centres are initially fully occupied by the holes and their parameters have the limiting values N = 1014 cm -3 and α = 10 -12 cm3 s-1 , one obtains the initial value of free electron lifetime τ0 = 10-2 s. Therefore, the QE approximation is inaccurate for Τ0 > 10 -2 s. On the other hand, Kelly et al [9] connected the QE validity with the density of active traps. They reported that the QE approximation is invalid if Η < 10 15 cm -3 Their results were, however, obtained for the case assuming absence of deep traps (M = 0, i.e.…”

Section: (T) H(t) Dn(t)/dt Dh(t)/dt Dα(t)/dt γ(T) τ(T)mentioning

confidence: 99%

“…The QE assumptions (1) and (2) are, however, not valid for any set of parameters of traps and recombination centres. The QE approximation was examined by several investigation [9][10][11][12][13] which have obtained inconsistent results. Kelly et al [9] found that for low density of active traps (< 10 15 cm -3 ) assumptions (1) and (2) are not valid.…”

Section: Introductionmentioning

confidence: 99%

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Characteristics of Thermally Stimulated Luminescence and Conductivity of Insulating Crystal

Opanowicz

1996

Acta Phys. Pol. A

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Different characteristics of thermally stimulated luminescence and conductivity in insulator are numerically calculated without the quasi-equilibrium approximation. The results are compared with corresponding results calculated using the quasi-equiłibrium approximation. This comparison suggests that the quasi-equifibrium approximation is correct in the low temperature range of the thermally stimulated luminescence and conductivity curves for crystals which have the density of recombination centres higher than 10 13 cm 3 and the recombination coefficient larger than 10 -12 cm3 s-1 , or equivalently, for those with the initial free electron lifetime shorter than 10 -1 s. For the high temperature range of the thermally stimulated luminescence and conductivity curves the quasi-equilibrium approximation gives correct results if the recombination centres density is higher than 10 14 cm 3 and the recombination coefficient is larger than 10-12 cm3 s-1 or if the initial free electron lifetime is shorter than 10 -2 s. The results of this paper show also that the so-called "first-order" shape of the thermally stimulated luminescence and conductivity curves is likical not of the weak retrapping only, but it can be obtained ałso for the strong retrapping.

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“…The results of this paper confirm, in principle, the presence of previously found [9,11,13] restriction of validity of the QE assumption for crystals with low density of imperfections.…”

Section: Discussionsupporting

confidence: 79%

Section: (T) H(t) Dn(t)/dt Dh(t)/dt Dα(t)/dt γ(T) τ(T)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Characteristics of Thermally Stimulated Luminescence and Conductivity of Insulating Crystal

Opanowicz

1996

Acta Phys. Pol. A

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“…These variabilities are apart from the usual dependence on E (trap depth usually referred to as the activation energy), s (frequency factor), and the heating rate used for recording the curve. These results led Kelly et al [4] to a very pessimistic conclusion. They stated that in the absence of the knowledge of the parameters of the solid it is virtually impossible to interpret the results uniquely.…”

Section: Introductionmentioning

confidence: 95%

Interactive Kinetics in Thermoluminescence (TL) and Its Effect on Glow Curves and Their Growth as a Function of Dose

Sunta¹,

Kulkarni²,

Yoshimura³

et al. 1994

Physica Status Solidi (b)

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Glow curve calculations are presented for a system of interactive traps in which the deep trap population is an order of magnitude greater than that of the active TL traps. It is shown that the glow peak exhibits a first-order type of kinetic behaviour even when recombination does not predominate over retrapping. Under most of the dose ranges it is the recapture by the deep traps which is responsible for this kinetic behaviour. The likely reason for the apparent dominance of first-order kinetics appears to be the interaction between the active TL traps and the deep traps. Another important consequence of interactive kinetics is that the growth of TL intensity with dose becomes supralinear. The interactive nature of the traps thus provides an interpretation not only for the kinetic behaviour of the glow peaks but explains also their supralinearity.Glowkurven werden berechnet fur ein System mit wechselwirkenden Haftstellen, in dem die Konzentration der tiefen Haftstellen um das zehnfache grol3er ist als die der aktiven Haftstellen. Es wird gezeigt, dal3 der auftretende Peak einer Kinetik erster Ordnung entspricht, selbst wenn Rekombination nicht die Wiederhaftung uberwiegt. Fur den grol3ten Teil des Dosisbereichs wird dieses kinetische Verhalten durch Wiederhaftung an tiefen Haftstellen verursacht. Die bestmogliche Ursache fur dieses anscheinende Uberwiegen der Kinetik erster Ordnung scheint die Wechselwirkung zwischen tiefen und aktiven Haftstellen zu sein. Eine andere wichtige Folge der wechselwirkenden Kinetik ist, da8 eine supralineare Beziehung zwischen Dosis und Thermolumineszenzintensitat entsteht. Die wechselwirkende Natur der Haftstellen liefert also nicht nur eine Interpretation fur das kinetische Verhalten der Glowpeaks, sondern erklirt auch ihre Supralinearitat.

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“…However, numerical solutions of the basic kinetic equations describing the TSL and TSC processes showed that the QE approximation can be questioned. Kelly and colleagues [13] compared the results of numerical solutions of the kinetic equations with the ones obtained from the analytical expressions. They found that the QE approximation is not adequate for the low trap density (<10 15 cm -3 ).…”

Section: Introductionmentioning

confidence: 99%

Analysis of thermally stimulated luminescence and conductivity without quasi-equilibrium approximation

Opanowicz¹

2007

J. Phys. D: Appl. Phys.

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Thermally stimulated luminescence (TSL) and conductivity (TSC) are considered using the classical insulator model that assumes one kind of the active trap, one kind of inactive deep trap, and one kind of the recombination center. Kinetic equations describing the model are solved numerically without and with the use of the quasiequilibrium (QE) approximation. The QE state parameter q I ,, the relative recombination probability γ, and a new parameter called quasi-stationary (QS) state parameter q*=q I γ are used for the analysis of the TSL and TSC. The TSL and TSC curves and the temperature dependences of q I , q*, γ, the recombination lifetime, and the occupancies of active traps and recombination centers are numerically calculated for five sets of kinetic parameters and different heating rates. These calculation results show that: (1) the upper limit of the heating rate for presence of the QS state appears at higher heating rate than that for the QE state when the retrapping process is present, and (2) the TSL (TSC) curves in the QS state have the properties similar to those for the TSL (TSC) curves in the QE state. Approximate formulas for calculation of the parameters q I and q* in the initial range of the TSL and TSC curves are derived and used in the heating-rate methods, proposed in this work, for determination of those parameters from the calculated TSL curves.

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Exact Solutions of the Kinetic Equations Governing Thermally Stimulated Luminescence and Conductivity

Cited by 129 publications

References 13 publications

Characteristics of Thermally Stimulated Luminescence and Conductivity of Insulating Crystal

Characteristics of Thermally Stimulated Luminescence and Conductivity of Insulating Crystal

Interactive Kinetics in Thermoluminescence (TL) and Its Effect on Glow Curves and Their Growth as a Function of Dose

Analysis of thermally stimulated luminescence and conductivity without quasi-equilibrium approximation

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