Handbook Of Thermoluminescence

These authors presented a new set of expressions for general order [1]. The prior knowledge of the kinetics order is required. The method uses any points of a peak. The mathematical procedure is similar to the one already given in Mazumdar, Singh & Gartia peak shape method (a). Using Eq.(1) for b=1, given in Peak shape method (Christodoulides: first- and general-order) [2], and Eqs.(12) and (13) for b ?1, given in Mazumdar, Singh & Gartia peak shape method (a) [3], and solving them by an iterative method, it is possible to write the following expression for the activation energy
| (1) | |
where
The coefficients C and D are found using the method of least squares for different order of kinetics b in the range from 0.7 to 2.5 and for x=1/2, 2/3 and 4/3. For a particular value of x the coefficients result to be dependent on b and then can be expressed as a quadratic function of b itself. So that, the previous equation can be rewritten as
| (2) | |
Table 1 gives the coefficients for different values of x.
| ratio | parameter | C 0 | C 1 | C 2 | D 0 | D 1 | D 2 |
|---|---|---|---|---|---|---|---|
| 1/2 | ? | 1.019 | 0.504 | ?0.066 | ?1.059 | ?1.217 | 0.109 |
| ? | 0.105 | 0.926 | ?0.048 | 0.154 | ?0.205 | ?0.128 | |
| ? | 1.124 | 1.427 |