1984
DOI: 10.1007/bf00553020
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Kinetics of non-isothermal crystallization process and activation energy for crystal growth in amorphous materials

Abstract: An equation expressing the volume fraction, x, of crystals precipitating in a glass heated at a constant rate, ~, was derived. When crystal particles grow m-dimensionally, x is expressed as RTwhere E is the activation energy for crystal growth and n is a numerical factor depending on the nucleation process. When the nuclei formed during the heating at the constant rate, ~, are dominant, n is equal to m + 1, and when the nuclei formed in the previous heat-treatment before thermal analysis run are dominant, n is… Show more

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Cited by 132 publications
(104 citation statements)
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“…[25][26][27][28] One of these methods is the well-known Matusita-Sakka model. Matusita and coworkers [29][30][31] emphasized that the crystallization mechanism, such as bulk crystallization or surface crystallization, should be taken into consideration for acquiring the meaningful activation energy. They have proposed that if a glass is heated at a invariable heating rate, the nucleation process occurs at temperatures somewhat higher than the glass transition temperature and reaches the maximum nucleation rate, so crystal nuclei no longer increases in number during the crystal growth (forming the DTA peak) and the activation energies for crystal growth can be estimated by analyzing the DTA crystallization peak 26,[29][30][31] Main equation that they derived is as follows:…”
Section: Crystallization Kineticsmentioning
confidence: 99%
“…[25][26][27][28] One of these methods is the well-known Matusita-Sakka model. Matusita and coworkers [29][30][31] emphasized that the crystallization mechanism, such as bulk crystallization or surface crystallization, should be taken into consideration for acquiring the meaningful activation energy. They have proposed that if a glass is heated at a invariable heating rate, the nucleation process occurs at temperatures somewhat higher than the glass transition temperature and reaches the maximum nucleation rate, so crystal nuclei no longer increases in number during the crystal growth (forming the DTA peak) and the activation energies for crystal growth can be estimated by analyzing the DTA crystallization peak 26,[29][30][31] Main equation that they derived is as follows:…”
Section: Crystallization Kineticsmentioning
confidence: 99%
“…In this case, transformation under non-isothermal condition is described as a first-order reaction. Figure 2 represents the relation of ln(T p 2 /a n ) to 1000/T p according to the Kissinger-Matusita model [12,16,17] which is described as: …”
Section: Methodsmentioning
confidence: 99%
“…In the non-isothermal method, the crystallized fraction x, precipitated in a glass heated at constant rate α, is related to the activation energy for crystallization E c through the following expression [23] [24] ( )…”
Section: Matusita Modelmentioning
confidence: 99%