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Entropies in Alloy Design for High-Entropy and Bulk Glassy Alloys
Institute for Materials Research, Tohoku University, 2-1-1, Katahira, Aoba-ku, Sendai 980-8577, Japan
School of Materials Science and Engineering, Dalian University of Technology, Dalian 116024, China
* Author to whom correspondence should be addressed.
Received: 19 July 2013; in revised form: 10 September 2013 / Accepted: 10 September 2013 / Published: 12 September 2013
Abstract: High-entropy (H-E) alloys, bulk metallic glasses (BMGs) and high-entropy BMGs (HE-BMGs) were statistically analyzed with the help of a database of ternary amorphous alloys. Thermodynamic quantities corresponding to heat of mixing and atomic size differences were calculated as a function of composition of the multicomponent alloys. Actual calculations were performed for configurational entropy (Sconfig.) in defining the H-E alloys and mismatch entropy (Ss) normalized with Boltzmann constant (kB), together with mixing enthalpy (DHmix) based on Miedema’s empirical model and Delta parameter (d) as a corresponding parameter to Ss/kB. The comparison between DHmix–d and DHmix– diagrams for the ternary amorphous alloys revealed Ss/kB ~ (d /22)2. The zones S, S′ and B’s where H-E alloys with disordered solid solutions, ordered alloys and BMGs are plotted in the DHmix–d diagram are correlated with the areas in the DHmix – Ss /kB diagram. The results provide mutual understandings among H-E alloys, BMGs and HE-BMGs.
Keywords: high-entropy alloy; bulk metallic glass; configurational entropy; mismatch entropy; atomic size difference; mixing enthalpy; alloy design
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MDPI and ACS Style
Takeuchi, A.; Amiya, K.; Wada, T.; Yubuta, K.; Zhang, W.; Makino, A. Entropies in Alloy Design for High-Entropy and Bulk Glassy Alloys. Entropy 2013, 15, 3810-3821.
Takeuchi A, Amiya K, Wada T, Yubuta K, Zhang W, Makino A. Entropies in Alloy Design for High-Entropy and Bulk Glassy Alloys. Entropy. 2013; 15(9):3810-3821.
Takeuchi, Akira; Amiya, Kenji; Wada, Takeshi; Yubuta, Kunio; Zhang, Wei; Makino, Akihiro. 2013. "Entropies in Alloy Design for High-Entropy and Bulk Glassy Alloys." Entropy 15, no. 9: 3810-3821.