HALF-WIDTH AND ASYMMETRY OF GLOW PEAKS AND THEIR CONSISTENT ANALYTICAL REPRESENTATION

The kinetic equation which describes many electronic as well as atomic or chemical reactions under the condition of a steadily linear raise of the temperature, is considered in a mathematically exact and straightforward way. Therefore, the equation has been transformed into a dimensionsless form, using with profit the maximum condition for the intensity peak. The two temperatures T1 and T2, corresponding to the half-height of the intensity peak, are found as unique polynomials of the small argument {Mathematical expression} only ( {Mathematical expression}=temperature of peak maximum). Thereupon, further combinations give half-width δ, peak asymmetry A=δ2/δ1 or {Mathematical expression} and the maximum of the intensity peak J; they again all depend only on -y. In some cases this dependence is weak, so that e.g. it is deduced that the half-width energy product divided by {Mathematical expression} is an invariant, different for every kinetic order π: {Mathematical expression} By means of these correlations, activation energy values E [eV] can be determined accurately to within 0.5 %, so that for most experiments the inaccuracy of the δ values becomes dominant and limiting. A special nomogram for the express estimation of E from experimentally observed δ and {Mathematical expression} is demonstrated. © 1979 Wiley Heyden Ltd., Chichester and Akadémiai Kiadó, Budapest.