Some Fundamental and Historical Aspects of Phenomenological Kinetics in the Solid State Studied by Thermal Analysis

The quandary aspects of non-isothermal kinetics beyond the ICTAC kinetic committee recommendations

“…Such an imaginary visualization exemplifies the acting reaction interfaces geometrically by straight disjointing lines which in reality are never smooth. It yields a creation defining the algebraic entities (equations) by graphic equivalents then listed by individual models [3,4,8]. It facilitates developing various arithmetical methods for their mutual verification which, however, is limited by their degree of discernment; let us call it 'discriminability' [5,6].…”

“…The table exemplifying some kinetic models f(a) in [3,4] has been published over hundred times [8,9,13,[20][21][22][23] and is a simplified version of purely mechanistic guidelines of a mathematical depiction of reaction mechanism. It is structured within the perception of simplified geometrical bodies to portray (often hypothetical) incorporated species [6].…”

“…Namely it is the kinetic treatment by means of the legendary Kissinger equation [5] making there a noticeable appeal about the significance of activation energy and associated routine of such applied nonisothermal kinetics including its potentiality to fall out of style. I like to refer to very recent papers [5][6][7][8] published almost simultaneously along with the ICTAC reports [3,4].…”

“…[10][11][12] and compendium [13] published long ago. The author is cognizant that this field has many facets which may be dealt with from various angles by a range of authors and even under a differently biased gaze so that this article is far from being fully exhaustive [6][7][8]13]. …”

Šesták–Berggren equation: now questioned but formerly celebrated—what is right

“…where the reaction rate da/dt is proportional to the product of two functions, temperature-dependent rate constant K(T) and reaction degree-dependent reaction mechanism f(a) [20,21]. Further summarization of f(a) functions, endowed with a particular form of f(a), can be visualized [2] as an overall operate: a n (1 -a) m {-log (1 -a) p , and is revealed in Table 1.…”