Calculations of Mixing Enthalpy and Mismatch Entropy for Ternary Amorphous Alloys

Takeuchi, Akira; Inoue, Akihisa

doi:10.2320/matertrans1989.41.1372

Cited by 736 publications

(368 citation statements)

References 6 publications

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“…The mixing enthalpy is −23 kJ mol −1 for Cu-Zr, −44 kJ mol −1 for Al-Zr, and −1 kJ mol −1 for Al-Cu, respectively [33]. According to Inoue's empirical rules [33], the magnitude of the alloy elements in the present Cu-based alloys increases from two to three by Al addition, leading to the increase of mixing entropy. Al addition results in the increase of the size difference and negative mixing enthalpy among the atoms.…”

Section: Discussionmentioning

confidence: 97%

Phase formation, glass forming ability, mechanical and thermal properties of Cu50Zr50−x Al x (0⩽x⩽11.0) glass forming alloys

Cai

Liu

et al. 2015

Sci. China Mater.

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Phase formation, glass forming ability, mechanical and thermal properties of Cu50Zr50−xAlx (0x 11.0) glass forming alloys were systematically investigated. The results show that Cu50Zr47Al3 alloy has the best glass forming ability (GFA), lowest fragility index (m) and highest fracture strength. There are B2 CuZr and B19' CuZr phases for Cu50Zr50−xAlx (0x5.0) alloys. B2 CuZr phase disappears and two new phases (Cu10Zr7 and CuZr2) appear when 5.05.0). Cu50Zr50−xAlx (0x4.0) alloys are off-eutectic compositions while near-eutectic compositions for Cu50Zr50−xAlx (5.0x11.0) alloys. The Eg, Ex, and Ep decrease with increasing sensitive factor (β) for the studied Cu-based alloys characterized in the room-temperature brittleness. The dependence of the phase formation and GFA on the Al content is discussed. INTRODUCTIONCu-based bulk metallic glasses (BMGs) have been extensively investigated due to their interestingly properties including work hardening [1], martensitic transformation [2-5], magnetism [6], catalytic activity [7,8], cryogenic temperature plasticity [9] and room-temperature plasticity [10][11][12][13][14], which enable their applications as structural and functional materials.Cu-Zr binary alloy system is characterized by good glass forming ability (GFA) and wide composition region for the formation of glass alloys [15] Element minor addition/substitution is a well-known method for improving the GFA and other properties of glass forming alloys [6,[12][13][14]19,20]. For example, Mattern et al. [6] found that a ferromagnetic Gd-enriched nanocluster could form in Cu 50 Zr 50−x Gd x (x=5) metallic glasses due to the phase separation by Gd minor addition. Xi et al. [20] found that Gd minor addition improved the combination of the GFA and the room-temperature plasticity of Cu 46 Zr 47 Al 7 BMG. Ma et al. [12] investigated the effect of substituting Al by Ti on the GFA and the mechanical properties of brittle Cu 46 Zr 46 Al 8 BMG and found that the Ti addition significantly increased the plasticity although the characteristic temperatures including the glass transition temperature (T g ), onset crystallisation temperature (T x ) and supercooled liquid region (ΔT x ) decreased with increasing Ti content. Kuo et al. [13] investigated the effect of V on the phase formation and plasticity in Cu 47.5 Zr 47.5 Al 5 glassy alloy and found that V minor addition improved the plasticity by doubling the fracture strain to 9.4% in (Cu 47.5 Zr 47.5 Al 5 ) 99 V 1 due to the formation of B2-CuZr precipitates. Recently, Cai et al. [14] found that the substitution of Ti by Ni significantly influences the GFA, mechanical, electrical and thermal properties of Cu 50 Zr 40 Ti 10...

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Section: Discussionmentioning

confidence: 97%

Phase formation, glass forming ability, mechanical and thermal properties of Cu50Zr50−x Al x (0⩽x⩽11.0) glass forming alloys

Cai

Liu

et al. 2015

Sci. China Mater.

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“…Takeuchi et al discussed effects of the mismatch entropy normalized by Boltzmann constant (S =k B ) and chemical mixing entropy (ÁH chem ) corresponding to the second-and the third-term of the empirical rules. 30,31) These parameters for GFA are closely related to alloy system and composition, and therefore the correlation between the three empirical rules and GFA in multi-component alloy systems can be investigated based on both these factors. The S =k B and ÁH chem are important parameters to evaluate the GFA of metallic glasses.…”

Section: Phase Stability Of An Amorphous Phase Againstmentioning

confidence: 99%

“…This is the same in Zr-Cu based metallic glasses reported in previous papers. 28,29) Dependence of the onset total dose on (1) alloy composition, (2) thermal parameters evaluated by thermal analysis, and (3) chemical mixing enthalpy (ÁH chem ) and mismatch entropy (S ) suggested by Takeuchi et al 30,31) is considered. Electron irradiation induced crystallization is believed to depend on iron content because the crystallization did not occur in Fe 44 Nd 11 B 44 alloy with low Fe content.…”

Section: Phase Stability Of An Amorphous Phase Againstmentioning

confidence: 99%

Nano-Crystallization and Stability of an Amorphous Phase in Fe-Nd-B Alloy under 2.0 MeV Electron Irradiation

2008

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Formation of nano-structure in melt-spun ternary Fe-Nd-B alloys was examined focusing on electron irradiation induced crystallization. In Fe 82:2 Nd 7:1 B 10:7 (Fe/Nd/B = 23/2/3), Fe 77 Nd 4:5 B 18:5 and Fe 71 Nd 9 B 20 alloys, melt-spun amorphous phase changed to a crystalline phase during electron irradiation and nano-structure was formed. The crystalline phase in melt-spun Fe 86 Nd 9 B 5 and Fe 82:4 Nd 11:8 B 5:8 (Fe/Nd/B = 14/ 2/1) alloys was unstable under electron irradiation and electron irradiation induced amorphization occurred. With the further irradiation, crystallization from the amorphous phase was induced resulting in forming nano-crystalline structure. The onset total dose for the irradiation induced crystallization, namely, stability of the amorphous phase against electron irradiation depends strongly on the Fe-ratio, crystallization temperature, mismatch entropy and mixing enthalpy of the alloys.

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“…Here, the factors 3) are selected from the following physical and thermodynamic quantities: (1) the number of constituent elements, (2) atomic size differences and (3) mixing enthalpy. The first factor is described as N, the second is frequently with Delta parameter (¤), 11) percentage in atomic radius differences, mismatch entropy (S · ) 12) or topological instability () for multicomponent alloys 13) based on a model for binary alloys, 14) and the third with ¦H mix . On the other hand, the criteria for H-E alloys and BMGs were separately given by determining numerical or thermodynamic values to the factors with aim to use the criteria as an alloy design.…”

Section: Introductionmentioning

confidence: 99%

Alloy Designs of High-Entropy Crystalline and Bulk Glassy Alloys by Evaluating Mixing Enthalpy and Delta Parameter for Quinary to Decimal Equi-Atomic Alloys

et al. 2014

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The values of mixing enthalpy (¦H mix ) and Delta parameter (¤) were calculated with 73 elements from Miedema's model for multicomponent equi-atomic alloys to investigate the possibilities of the alloys to be formed into high-entropy (H-E) alloys or high-entropy bulk metallic glasses (HE-BMGs). The equi-atomic alloys from about 15 million ( 73 C 5 ) quinary to 621 billion ( 73 C 10 ) decimal systems were evaluated by referring to a ¦H mix ¤ diagram for zones S and B's for H-E alloys with disordered solid solutions and BMGs, respectively, reported by Zhang et al. The results revealed that the number of quinary equi-atomic alloys plotted in zone S is 28405 (³0.19% in 73 C 5 ), whereas those in zones B 1 and B 2 for conventional and Cu-and Mg-based BMGs, respectively, were 1036385 and 21518 (³6.90 and ³0.14%), respectively. This kind of statistical approach using ¦H mix ¤ diagram will lead to finding out unprecedented H-E alloys and HE-BMGs.

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Calculations of Mixing Enthalpy and Mismatch Entropy for Ternary Amorphous Alloys

Cited by 736 publications

References 6 publications

Phase formation, glass forming ability, mechanical and thermal properties of Cu50Zr50−x Al x (0⩽x⩽11.0) glass forming alloys

Phase formation, glass forming ability, mechanical and thermal properties of Cu50Zr50−x Al x (0⩽x⩽11.0) glass forming alloys

Nano-Crystallization and Stability of an Amorphous Phase in Fe-Nd-B Alloy under 2.0 MeV Electron Irradiation

Alloy Designs of High-Entropy Crystalline and Bulk Glassy Alloys by Evaluating Mixing Enthalpy and Delta Parameter for Quinary to Decimal Equi-Atomic Alloys

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