Use and misuse of logistic equations for modeling chemical kinetics

A generalized logistic function has been proposed as a kinetic analysis method that is superior to traditional methods. In fact, the parameter τ in the generalized logistic function has an effect on the reaction profile similar to the parameter n in the extended Prout–Tompkins model for autocatalyti...

Full description

Saved in:
Bibliographic Details
Published in:Journal of thermal analysis and calorimetry 2017-01, Vol.127 (1), p.1107-1116
Main Author: Burnham, Alan K.
Format: Article
Language:English
Subjects:
Analytical Chemistry
Calorimetry
Chemical kinetics
Chemistry
Chemistry and Materials Science
Comparative analysis
Fittings
Heating rate
Inorganic Chemistry
Kinetics
Logistics
Mathematical analysis
Mathematical models
Measurement Science and Instrumentation
Parameters
Physical Chemistry
Polymer Sciences
Reaction kinetics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A generalized logistic function has been proposed as a kinetic analysis method that is superior to traditional methods. In fact, the parameter τ in the generalized logistic function has an effect on the reaction profile similar to the parameter n in the extended Prout–Tompkins model for autocatalytic reactions. Furthermore, the comparisons made in some papers to traditional methods were made by using the discredited method of determining kinetic parameters from a single heating rate, so they are misleading compared to proper kinetic analysis methods that simultaneously analyze multiple thermal histories. In addition, the current implementation of the generalized logistic function of fitting each experiment individually is prone to introduce errors in the kinetic parameters. Guidance is given on how the generalized logistic function might be used for proper chemical kinetic analysis.
ISSN:1388-6150
1588-2926
1572-8943
DOI:10.1007/s10973-015-4879-3