Handbook Of Thermoluminescence

Peak Shape Method (Gartia, Singh & Mazumdar: (b) General Order)

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.

Table 1: Numerical values of the coefficients comparing in Eq.(2).

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

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: IC Electronic Filters
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.