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Thermoluminescence and thermally stimulated current curves obeying general order kinetics laws are being investigated. For these cases, whose order is not necessarily first or second but rather may have some noninteger value, an effective method of calculating the activation energy is given. This method is based on measuring the temperature at the maximum of the glow peak and the half intensity temperatures. Numerical calculations for orders between 0.7 and 2.5, activation energies between 0.1 and 1.6 eV and frequency factors between 105 and 1013 sec−1 have been done using an I.B.M. 360 computer. The results reveal the general characteristics of these peaks and their dependence on the parameters. The new method for calculating the activation energy is also checked numerically.
A new method for calculating activation energies and frequency factors from thermoluminescence and thermally stimulated current peaks is described. The validity of this method, as well as of most of the other known ones, is examined for a broad range of energies and frequency factors by the use of a computer. A combination of theoretical and empirical-computational analysis is used to give corrected formulas for some of the previous methods, while only empirical corrections are given for some others. Apart from the maximum temperature, T m , the new method uses the total half width w= Tz-T1, where Tl and Tz are the half-intensity temperatures on the low-and high-temperature side of the peak, respectively. For a first-order peak with a frequency factor independent of temperature, the activation energy is given by E=2kT",(1.26 T m/w-1) where k is Boltzmann's constant. The frequency factor is found for this case to be s=[2tJ(1.26 T",/w-1)/(e2T m)] exp(2.52Tm/w) where tJ is the (linear) heating rate and e is 2.718. For the case where pre-exponential factors depend on temperature as some power function and for secondorder glow peaks, similar formulas are developed for the calculation of activation energies. The relative advantages of the various methods are discussed both from the theoretical and experimental points of view. The m~thod for distinguishing between first-and second-order peaks is also discussed.
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