Handbook Of Thermoluminescence

Grossweiner [1] was the first to use the shape of the glow-peak to calculate the trap depth and the frequency factor. His method is based on the temperature at maximum and on the low temperature at half intensity, T 1 . Using the first order-kinetics one can write
| (1) | |
| (2) | |
their ratio is
| (3) | |
The integral in brackets can be resolved by asymptotic expansion as indicated before. By dropping terms after the first in the series, expression (3) changes in the following
| (4) | |
Doing the logarithm and rearranging using the maximum condition one obtains
| (5) | |
For E/kT larger than 20, the exponential of the last expression becomes equal to 0.184. Furthermore, the term ( T 1/ T M) 2 may be neglected because it affects E by less than 2% if s/ ? is larger than 10 7. These approximations get the final form
| (6) | |
This expression was empirically modified by Chen [2] with 1.41 replacing 1.51 to get a better accuracy in the calculation of E, i.e.
| (7) | |
The frequency factor can be directly obtained from the following expression
| (8) | |
1. Grossweiner L.I., J. Appl. Phys. 24 (1969) 1306
2. Chen R., J. Appl. Phys. 24 (1969) 570