Use of the Arrhenius Equation in Kinetic Analyses and Mathematical Modeling of Rate Data Requires the Most Precise, Even Scrupulous, Application and Term Definitions
Theory and Applications of Chemistry Vol. 2,
Page 56-84
Abstract
This article presents a critical analysis of the frequent practice of using the Arrhenius equation for mathematical modeling of very many physical and chemical rate processes. This approach may also be used to characterize the controls and mechanisms of the rate processes investigated. We also discuss the specific form of the Arrhenius-type equation as a relationship meriting detailed investigations. In our opinion, the use of the Arrhenius relationship often can only approximate to the behavior of such systems, exemplified by the systems discussed below, including the work of N N Semenov, A K Galwey, A G Mershanov, etc. We draw attention to "erroneous" experimental designs, including the so-called "global kinetic mechanism" and other widespread uses of theoretical models which do not necessarily represent the real situation. Such limitations in rate data analyses impact negatively throughout this branch of science. Here we attempt to question these accepted practices realistically and find answers to the types of studies under consideration that do not include the misconceptions often contained (concealed) therein. Unfortunately, besides the scientific component, various political and social applications often interfere in the process by introducing errors. This symbiosis of delusions is considered for the example of “solid flame”, a Russian theme that may not be familiar to English-speaking readers. The consequences of repression for scientists in connection with their position on scientific issues are described.
Keywords:
- Arrhenius equation
- thermal reactions of solids
- classical combustion theory
- solid flame
- self-propagating high-temperature synthesis (SHS)
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