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Electrochemical potential equilibrium of electrons in ideal metallic glasses based on the cluster-resonance model

Han Guang Qiang Jian-Bing Wang Qing Wang Ying-Min Xia Jun-Hai Zhu Chun-Lei Quan Shi-Guang Dong Chuang

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Electrochemical potential equilibrium of electrons in ideal metallic glasses based on the cluster-resonance model

Han Guang, Qiang Jian-Bing, Wang Qing, Wang Ying-Min, Xia Jun-Hai, Zhu Chun-Lei, Quan Shi-Guang, Dong Chuang
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  • Ideal metallic glasses are the metallic glasses that satisfy electronic structure stability. Previously we have developed a so-calledcluster-plus-glue-atom modeland more recently acluster-resonance modelfor the ideal metallic glasses. Good metallic glass forming compositions always satisfy simple cluster formulas [cluster] (glue atoms), with x denoting the number of glue atoms matching one cluster. In this paper we present an electrochemical potential equilibrium criterion based on these models to obtain the number of glue atoms. By examples of Cu-Zr and Co-B bulk metallic glasses, it is confirmed that the experimentally determined good BMG-forming compositions well agree with the calculated composition formulas.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51041011, 50901012) and the National Basic Research Program of China (Grant No. 2007CB613902).
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    [2]

    Yu P, Bai H Y, Tang M B,WangWL,WangWH 2005 Acta Phys.Sin. 54 3284 (in Chinese) [余鹏, 白海洋, 汤美波, 王万录, 汪卫华 2005 物理学报 54 3284]

    [3]

    Wang Q, Qiang J B, Wang Y M, Xia J H, Lin Z, Zhang X F, DongC 2006 Acta Phys. Sin. 55 378 (in Chinese) [王清, 羌建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 物理学报 55 378]

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    Zhao Z F, Zhang Z, Li Z, Wen P, Zhao D Q, Pan M X, Wang W L, Wang W H 2004 Acta Phys. Sin. 53 850 (in Chinese) [赵作峰, 张志, 李正, 闻平, 赵德乾, 潘明祥, 王万录, 汪卫华 2004 物理学报 53 850]

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    Lu Z P, Liu C T 2002 Acta Mater. 50 3501

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    Wang Y M, Qiang J B, Wong C H, Shek C H, Dong C 2003 J.Mater. Res. 18 642

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    Dong C, Wang Y M, Qiang J B, Wang D H, Chen W R, Shek C H2004 Mater. Trans. JIM 45 1177

    [8]

    Xia J H, Qiang J B,Wang Y M,Wang Q, Dong C 2006 Appl. Phys.Lett. 88 1019071

    [9]

    Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H,Wu J, Xia J H 2007 J. Phys. D: Appl. Phys. 40 273

    [10]

    Zhang J X, Li H, Zhang J, Song X G, Bian X F 2009 Chin. Phys.B 18 4949

    [11]

    Lu B C, Yao H J, Xu J, Li Y 2009 Appl. Phys. Lett. 94 241913

    [12]

    Guo G Q, Yang L, Zhang G Q 2011 Acta Phys. Sin. 60 016103(in Chinese) [郭古青, 杨亮, 张国庆 2011 物理学报 60 016103]

    [13]

    Han G, Qiang J B,Wang Q,Wang Y M, Zhu C L, Quan S G, DongC, Häussler P 2011 Philosophical Magazine 91 2404

    [14]

    Sanderson R T 1951 Science 114 670

    [15]

    Mortier W J, Ghosh K, Shankar S 1986 J. Am. Chem. Soc. 1084315

    [16]

    Parr R G, Donnelly R A, Levy M, Palke W E 1978 J. Chem. Phys.68 3801

    [17]

    Itskowitz P, Berkowitz M L 1997 J. Phys. Chem. A 101 5687

    [18]

    Nagel S R, Tauc J 1975 Phys. Rev. Lett. 35 380

    [19]

    Mott N F, Jones H 1936 The Theory of the Properties of Metal andAlloys (Oxford: Clarendon ) p310

    [20]

    Nagel S R 1977 Phys. Rev. B 16 1694

    [21]

    Beck H, Oberie R 1979 Solids State Commun. 32 959

    [22]

    Haussler P 1992 Phys. Reports 222 65

    [23]

    Häussler P, Nowak H , Bhuiyan M, Barzola Q J 2002 Physica B316–317 489

    [24]

    Friedel J 1958 Nuovo Cimento 7 287

    [25]

    Bernal J D 1959 Nature 183 141

    [26]

    Peker A, Johnson W L 1993 Appl. Phys. Lett. 63 2342

    [27]

    Saida J, Matsushita M, Inoue A 2001 Appl. Phys. Lett. 79 412

    [28]

    Wang W H, Wu E, Wang R J, Studer A J 2002 Phys. Rev. B 66104205

    [29]

    Li C, Saida J, Inoue A 2000 Mater. Trans. JIM 41 1521

    [30]

    Koster U, Zander D, Rainer J 2002 Mater. Sci. Forum 386–688 89

    [31]

    Saksl K, Franz H, Jovari P, Klementiev K, Welter E, Ehnes A,Saida J, Inoue A, Jiang J Z 2003 Appl. Phys. Lett. 83 3924

    [32]

    Wang R 1979 Nature 278 700

    [33]

    Wang W H, Wei Q, Friedrich S 1998 Phys. Rev. B 57 8211

    [34]

    Miracle D B 2004 Nature Mater. 3 697

    [35]

    Sheng H W, Luo W K, Alamgir F M, Bai J M, Ma E 2006 Nature439 419

    [36]

    Wang Y M, Wang Q, Zhao J J, Dong C 2010 Scripta Materialia63 178

    [37]

    Yuan L, Pang C, Wang Y M, Wang Q, Qiang J B, Dong C 2010 Intermetallics 18 1800

    [38]

    Zhu C L, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Intermetallics18 791

    [39]

    Zhu C L, Wang Q, Zhang J, Wang Y M, Dong C 2010 Inter. J.Minerals, Metallurgy and Materials 17 323

    [40]

    Chen J X, Qiang J B, Wang Q, Dong C 2012 Acta Phys. Sin. (inChinese) 61 046102 [陈季香, 羌建兵, 王清, 董闯 2011 物理学报 in Press]

    [41]

    Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil.Mag. 90 3961

    [42]

    Xu D H, Lohwongwatana B, Duan G, Johnson W L, Garland C2004 Acta Mater. 52 2621

    [43]

    Wang Q, Qiang J B,Wang Y M, Xia J H, Zhang X F, Dong C 2005Materials Science Forum 475–479 3381

    [44]

    Xia J H, Qiang J B, Wang Y M, Wang Q, Dong C 2007 Mate. Sci.Eng. A 449–451 281

    [45]

    Inoue A, Zhang W 2004 Mater. Trans. JIM 45 584

    [46]

    Jia P, Guo H, Li Y, Xu J, Ma E 2006 Scripta Mater. 54 2165

    [47]

    Inoue A, Kato A, Zhang T, Kim S G, Masumoto T 1991 Mater.Trans. JIM 32 609

    [48]

    Yao K F, Ruan F 2005 Chin. Phys. Lett. 22 1481

    [49]

    Chen Q J, Shen J, Zhang D L, Fan H B, Sun J F, McCartney D G2006 Mater. Sci. Eng. A 433 155

    [50]

    Zhu C L 2011 Ph.D. Dissertation (Dalian: Dalian University ofTechnology) (in Chinese) [朱春雷 2011 博士学位论文(大连: 大连理工大学)]

  • [1]

    Inoue A 2000 Acta Mater. 48 279

    [2]

    Yu P, Bai H Y, Tang M B,WangWL,WangWH 2005 Acta Phys.Sin. 54 3284 (in Chinese) [余鹏, 白海洋, 汤美波, 王万录, 汪卫华 2005 物理学报 54 3284]

    [3]

    Wang Q, Qiang J B, Wang Y M, Xia J H, Lin Z, Zhang X F, DongC 2006 Acta Phys. Sin. 55 378 (in Chinese) [王清, 羌建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 物理学报 55 378]

    [4]

    Zhao Z F, Zhang Z, Li Z, Wen P, Zhao D Q, Pan M X, Wang W L, Wang W H 2004 Acta Phys. Sin. 53 850 (in Chinese) [赵作峰, 张志, 李正, 闻平, 赵德乾, 潘明祥, 王万录, 汪卫华 2004 物理学报 53 850]

    [5]

    Lu Z P, Liu C T 2002 Acta Mater. 50 3501

    [6]

    Wang Y M, Qiang J B, Wong C H, Shek C H, Dong C 2003 J.Mater. Res. 18 642

    [7]

    Dong C, Wang Y M, Qiang J B, Wang D H, Chen W R, Shek C H2004 Mater. Trans. JIM 45 1177

    [8]

    Xia J H, Qiang J B,Wang Y M,Wang Q, Dong C 2006 Appl. Phys.Lett. 88 1019071

    [9]

    Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H,Wu J, Xia J H 2007 J. Phys. D: Appl. Phys. 40 273

    [10]

    Zhang J X, Li H, Zhang J, Song X G, Bian X F 2009 Chin. Phys.B 18 4949

    [11]

    Lu B C, Yao H J, Xu J, Li Y 2009 Appl. Phys. Lett. 94 241913

    [12]

    Guo G Q, Yang L, Zhang G Q 2011 Acta Phys. Sin. 60 016103(in Chinese) [郭古青, 杨亮, 张国庆 2011 物理学报 60 016103]

    [13]

    Han G, Qiang J B,Wang Q,Wang Y M, Zhu C L, Quan S G, DongC, Häussler P 2011 Philosophical Magazine 91 2404

    [14]

    Sanderson R T 1951 Science 114 670

    [15]

    Mortier W J, Ghosh K, Shankar S 1986 J. Am. Chem. Soc. 1084315

    [16]

    Parr R G, Donnelly R A, Levy M, Palke W E 1978 J. Chem. Phys.68 3801

    [17]

    Itskowitz P, Berkowitz M L 1997 J. Phys. Chem. A 101 5687

    [18]

    Nagel S R, Tauc J 1975 Phys. Rev. Lett. 35 380

    [19]

    Mott N F, Jones H 1936 The Theory of the Properties of Metal andAlloys (Oxford: Clarendon ) p310

    [20]

    Nagel S R 1977 Phys. Rev. B 16 1694

    [21]

    Beck H, Oberie R 1979 Solids State Commun. 32 959

    [22]

    Haussler P 1992 Phys. Reports 222 65

    [23]

    Häussler P, Nowak H , Bhuiyan M, Barzola Q J 2002 Physica B316–317 489

    [24]

    Friedel J 1958 Nuovo Cimento 7 287

    [25]

    Bernal J D 1959 Nature 183 141

    [26]

    Peker A, Johnson W L 1993 Appl. Phys. Lett. 63 2342

    [27]

    Saida J, Matsushita M, Inoue A 2001 Appl. Phys. Lett. 79 412

    [28]

    Wang W H, Wu E, Wang R J, Studer A J 2002 Phys. Rev. B 66104205

    [29]

    Li C, Saida J, Inoue A 2000 Mater. Trans. JIM 41 1521

    [30]

    Koster U, Zander D, Rainer J 2002 Mater. Sci. Forum 386–688 89

    [31]

    Saksl K, Franz H, Jovari P, Klementiev K, Welter E, Ehnes A,Saida J, Inoue A, Jiang J Z 2003 Appl. Phys. Lett. 83 3924

    [32]

    Wang R 1979 Nature 278 700

    [33]

    Wang W H, Wei Q, Friedrich S 1998 Phys. Rev. B 57 8211

    [34]

    Miracle D B 2004 Nature Mater. 3 697

    [35]

    Sheng H W, Luo W K, Alamgir F M, Bai J M, Ma E 2006 Nature439 419

    [36]

    Wang Y M, Wang Q, Zhao J J, Dong C 2010 Scripta Materialia63 178

    [37]

    Yuan L, Pang C, Wang Y M, Wang Q, Qiang J B, Dong C 2010 Intermetallics 18 1800

    [38]

    Zhu C L, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Intermetallics18 791

    [39]

    Zhu C L, Wang Q, Zhang J, Wang Y M, Dong C 2010 Inter. J.Minerals, Metallurgy and Materials 17 323

    [40]

    Chen J X, Qiang J B, Wang Q, Dong C 2012 Acta Phys. Sin. (inChinese) 61 046102 [陈季香, 羌建兵, 王清, 董闯 2011 物理学报 in Press]

    [41]

    Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil.Mag. 90 3961

    [42]

    Xu D H, Lohwongwatana B, Duan G, Johnson W L, Garland C2004 Acta Mater. 52 2621

    [43]

    Wang Q, Qiang J B,Wang Y M, Xia J H, Zhang X F, Dong C 2005Materials Science Forum 475–479 3381

    [44]

    Xia J H, Qiang J B, Wang Y M, Wang Q, Dong C 2007 Mate. Sci.Eng. A 449–451 281

    [45]

    Inoue A, Zhang W 2004 Mater. Trans. JIM 45 584

    [46]

    Jia P, Guo H, Li Y, Xu J, Ma E 2006 Scripta Mater. 54 2165

    [47]

    Inoue A, Kato A, Zhang T, Kim S G, Masumoto T 1991 Mater.Trans. JIM 32 609

    [48]

    Yao K F, Ruan F 2005 Chin. Phys. Lett. 22 1481

    [49]

    Chen Q J, Shen J, Zhang D L, Fan H B, Sun J F, McCartney D G2006 Mater. Sci. Eng. A 433 155

    [50]

    Zhu C L 2011 Ph.D. Dissertation (Dalian: Dalian University ofTechnology) (in Chinese) [朱春雷 2011 博士学位论文(大连: 大连理工大学)]

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Publishing process
  • Received Date:  03 April 2011
  • Accepted Date:  25 May 2011
  • Published Online:  15 March 2012

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