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Evaluation of Matusita Equation and Its Modified Expression for Determining Activation Energy Associated with Melt Crystallization

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Abstract

Both the Matusita equation and the modified Matusita equation for estimating the activation energy associated with non-isothermal crystallization were critically evaluated. The derivation for melts crystallization on cooling indicates that, unlike for the crystallization that occurs on heating, the term 1 − exp (−ΔG/RT) in the basic rate equation of crystal growth and the term \( \int_{0}^{{T_{\text{s}} }} {\exp ( - E/{{R}}T)dT} ) \) depending on the initial temperature of the cooling process cannot be neglected. It is demonstrated that both the Matusita equation and its modified expression are only valid to estimate the activation energy associated with the crystallization that occurs on heating, but are inapplicable for the melt crystallization that occurs on cooling. It is suggested that the isoconversional methods of Friedman and Vyazovkin should be alternative to determine effective activation energy for melt crystallization that occurs on cooling.

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This work was financially supported by the Global Excellent Technology Innovation (Grant No. 10045029) funded by the Ministry of Trade, Industry & Energy (MOTIE) of Korea. This work was also supported by the State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing (Grant No. 41603017).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing (USTB), Beijing, 100083, P.R. China

    Cheng-Bin Shi (Assistant Professor)

  2. Shougang Research Institute of Technology, Beijing, 100041, P.R. China

    Hui Wang (Assistant Researcher) & Seon-Hyo Kim (Professor)

  3. Department of Materials Science and Engineering, Pohang University of Science and Technology (POSTECH), Pohang, 790-784, Republic of Korea

    Myung-Duk Seo (Ph.D. Candidate) & Jung-Wook Cho (Research Associate Professor)

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  1. Cheng-Bin Shi
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  2. Hui Wang
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  3. Myung-Duk Seo
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  4. Jung-Wook Cho
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  5. Seon-Hyo Kim
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Correspondence to Cheng-Bin Shi or Jung-Wook Cho.

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Manuscript submitted July 19, 2014.

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Shi, CB., Wang, H., Seo, MD. et al. Evaluation of Matusita Equation and Its Modified Expression for Determining Activation Energy Associated with Melt Crystallization. Metall Mater Trans B 45, 1987–1991 (2014). https://doi.org/10.1007/s11663-014-0217-6

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  • DOI: https://doi.org/10.1007/s11663-014-0217-6

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