Kinetic parameters in Avrami—Erofeev type reactions from isothermal and non-isothermal experiments

Bruijn, T J W de; Jong, W.A. De; Berg, P.J. Van Den

doi:10.1016/0040-6031(81)85091-5

Cited by 176 publications

(69 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Henderson [16,17] and DeBruijin et al [18] have shown that the validity of the JMA formalism can be extended in non-isothermal conditions if the entire nucleation process takes place during the early stages of the transformation, and it becomes negligible afterward. A testing method of applicability of JMA model was proposed by Málek [19].…”

Section: Resultsmentioning

confidence: 98%

Crystallization kinetics of ultrafine Co74.4B25.6 amorphous powder prepared by chemical reduction

Zhou

Xue-ding

et al. 2006

Journal of Alloys and Compounds

View full text Add to dashboard Cite

Section: Resultsmentioning

confidence: 98%

Crystallization kinetics of ultrafine Co74.4B25.6 amorphous powder prepared by chemical reduction

Zhou

Xue-ding

et al. 2006

Journal of Alloys and Compounds

View full text Add to dashboard Cite

“…(4) and (5) [10,23,24]. In the present work, a theoretical method has been developed to integrate Eq.…”

Section: Nucleation Crystal Growth and Volume Fraction Transformedmentioning

confidence: 99%

A theoretical method for analyzing the glass-crystal transformation observed by DSC in the continuous heating regime. Application to the Sb0.16As0.36Se0.48 semiconducting alloy

Vázquez

González-Palma

López-Alemany

et al. 2004

Journal of Alloys and Compounds

View full text Add to dashboard Cite

“…Hence, in books [7] it is called the Johanson-Mehl-Avrami-Kolmogorov--Erofeyev equation, and has been applied in a huge number of kinetic measurements, especially to describe the crystallization of polymers [8]. This convenient equation has also been applied to polythermic measurements, and computer programs for DTG/DTA [9][10][11] and DSC [ 12] measurements have been worked out. Then, from the temperature-dependence of k, the activation energies of reactions have been determined.…”

Section: Avrami Equation (Sae)mentioning

confidence: 99%

On stochastic models of solid-state reactions

Dziembaj

Malczyk

1988

Journal of Thermal Analysis

View full text Add to dashboard Cite

The Avrami model of solid-state reactions or transformations has frequently been presented and compared With other stochastic models. The equation often applied is shown to be merely a simplification of the full Awami model equation (FAME). A convenient proceffure for application of the FAME to the kinetics of solid-state reactions is proposed.Several stochastic models have been proposed to describe the kinetics of phase transformations or chemical reactions in solids.Erofeyev [1 ] discussed the probability of molecular events and reactions in a collection containing a large enough number of molecules to permit the use of statistics. To apply this to solid-state reactions he had to introduce a few simplifying assumptions which can never be true. For example, he neglected intercollisions between the growing nuclei of the product phase. The Erofeyev equationis the same in form as that proposed previously by Johanson-Mehl and Kolmogorov, and expresses a relation between the fractional conversion f and the reaction time t. Mampel [2] assumed the random nucleation of the product phase grains, as well as limitation of the growth of these grains as a result of their intercollisions. Though these assumptions are quite acceptable, Mampel was not able to solve the problem. Nevertheless, in the case of spherical grains, he suggested three separate equations for the initial, the intermediate and the final stage of the reaction, respectively. the problem seems to have been generally solved by Avrami [3]. He found a relation between the real and the idealized case, analysing all the unreal cases by Volterra methods. To prove the resulting equation, Avrami had to assume that the product grains are randomly distributed throughout the whole substrate phase, or even only throughout the transformation zone. With the additional assumption kg/kn = const, concerning the linear growth John Wiley & Sons, Limited, Chichester Akaddmiai Kiad6, Budapest

show abstract

Kinetic parameters in Avrami—Erofeev type reactions from isothermal and non-isothermal experiments

Cited by 176 publications

References 8 publications

Crystallization kinetics of ultrafine Co74.4B25.6 amorphous powder prepared by chemical reduction

Crystallization kinetics of ultrafine Co74.4B25.6 amorphous powder prepared by chemical reduction

A theoretical method for analyzing the glass-crystal transformation observed by DSC in the continuous heating regime. Application to the Sb0.16As0.36Se0.48 semiconducting alloy

On stochastic models of solid-state reactions

Contact Info

Product

Resources

About