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Crystallization with Variable Temperature: Corrections for the Activation Energy
Author(s) -
Frade Jorge Ribeiro
Publication year - 1998
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1998.tb02673.x
Subject(s) - dimensionless quantity , crystallization , activation energy , thermodynamics , variable (mathematics) , exponential function , exponential growth , curse of dimensionality , materials science , mathematics , chemistry , mathematical analysis , physics , statistics
The Nakamura‐Avrami method has been revised to derive reliable solutions for describing the kinetics of crystallization on heating with variable temperature. The corresponding numerical solutions for first‐order phase‐boundary‐controlled growth were computed to evaluate the errors that should be expected when using simple approximate solutions. The relative differences increased as the average dimensionless temperature increased; thus, a method was proposed to obtain correct values for the activation energy and pre‐exponential factors. Our analysis of the effects of heating rate on the crystallization peak is consistent with the Kissinger equation, even for dimensionality values of >1. Numerical solutions were also used to demonstrate the validity of the Kissinger equation.