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Metallic glasses, quasicrystals and many intermetallic compounds belong to complex alloy phases which are characterized by specific nearest-neighbor coordination polyhedral clusters representing the local atomic features of their parent phases. However, the nearest neighbor atoms are often distributed on multiple shells, which makes the cluster difficult to define exactly. For an alloy phase dominated by the clusters, there showed appear distinct differences between the cluster part and the average structure of the phase, especially with regards to the atomic density. The clusters should have the highest atomic density so that their presence is very pronounced in phase compared with the average structure. In this paper, radial distribution of atomic density (numbers of atoms contained in different spherical shells) is proposed to define the cluster in a clear manner. The spherical shell enclosing the highest atomic density and having dense-packed triangular facets is selected as the nearest-neighbor cluster. Al-Ni-Zr alloy phases are taken for example to illustrate the easy use of this method, and the relationship between cluster and metallic glass formation is also explained.
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Keywords:
- cluster /
- atomic density /
- Al-Ni-Zr alloy phases /
- metallic glass formation
[1] Bragg W L 1930 Z. Kristallogr 74 237
[2] Bernal J D 1959 Nature 183 141
[3] Cohen M H 1964 Nature 203 964
[4] Mackay A L, Finney J L 1973 J. Appl. Cryst. 6 284
[5] Qiang J B, Wang D H, Bao C M, Wang Y M, Xu W P, Song M L, Dong C 2001 J. Mater. Res. 16 2653
[6] Dong C, Qiang J B, Wang Y M, Jiang N, Wu J, Thiel P 2006 Phil. Mag. 86 263
[7] Shenbin Li, Xiaona Li, Chuang.Dong, Xin Jiang 2010 Acta Phys. Sin. 59 4267 (in Chinese) [李胜斌, 李晓娜, 董闯, 姜辛 2010 59 4267]
[8] Wang Q, Qiang J B, Wang Y M, Xia J H, Lin Z, Zhang X F, Dong C 2006 Acta Phys. Sin. 55 378 (in Chinese) [王清, 羗建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 55 378]
[9] Chen J X, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Phil. Mag. Lett. 90 683
[10] Miracle D B 2006 Acta Mater. 54 4317
[11] Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil. Mag. 90 3961
[12] Frank F C 1952 Proc. R. Soc. London A 215 43
[13] Saida J, Matsushita M, Inoue A 2001 Appl. Phys. Lett. 79 412
[14] Waniuk T, Schroers J, Johnson WL 2003 Phys. Rev. B 67 184203
[15] Koster U, Zander D, Rainer J Mater 2002 Sci. Forum 386 89
[16] Villars P, Calvert L D 1997 Pearson’s Handbook of Crystallographic Data forIintermetallic Phases. Desk edition, Vol. 1, P.453-454 (ASM International)
[17] Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H, Wu J, Xia J H 2007 Appl. Phys. 40 273
[18] Inoue A, Zhang T, Masumoto T 1990 Mater. Trans. JIM. 31 177
[19] Li Y H, Zhang W, Dong C, Qiang J B, Makino A, Inoue A 2010 Intermetallics 18 1851
[20] Han G, Qiang J B,Wang Q,Wang YM, Zhu C L, Quan S G, Dong C, Häussler P 2011 Phil. Mag. 91 2404
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[1] Bragg W L 1930 Z. Kristallogr 74 237
[2] Bernal J D 1959 Nature 183 141
[3] Cohen M H 1964 Nature 203 964
[4] Mackay A L, Finney J L 1973 J. Appl. Cryst. 6 284
[5] Qiang J B, Wang D H, Bao C M, Wang Y M, Xu W P, Song M L, Dong C 2001 J. Mater. Res. 16 2653
[6] Dong C, Qiang J B, Wang Y M, Jiang N, Wu J, Thiel P 2006 Phil. Mag. 86 263
[7] Shenbin Li, Xiaona Li, Chuang.Dong, Xin Jiang 2010 Acta Phys. Sin. 59 4267 (in Chinese) [李胜斌, 李晓娜, 董闯, 姜辛 2010 59 4267]
[8] Wang Q, Qiang J B, Wang Y M, Xia J H, Lin Z, Zhang X F, Dong C 2006 Acta Phys. Sin. 55 378 (in Chinese) [王清, 羗建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 55 378]
[9] Chen J X, Wang Q, Wang Y M, Qiang J B, Dong C 2010 Phil. Mag. Lett. 90 683
[10] Miracle D B 2006 Acta Mater. 54 4317
[11] Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil. Mag. 90 3961
[12] Frank F C 1952 Proc. R. Soc. London A 215 43
[13] Saida J, Matsushita M, Inoue A 2001 Appl. Phys. Lett. 79 412
[14] Waniuk T, Schroers J, Johnson WL 2003 Phys. Rev. B 67 184203
[15] Koster U, Zander D, Rainer J Mater 2002 Sci. Forum 386 89
[16] Villars P, Calvert L D 1997 Pearson’s Handbook of Crystallographic Data forIintermetallic Phases. Desk edition, Vol. 1, P.453-454 (ASM International)
[17] Dong C, Wang Q, Qiang J B, Wang Y M, Jiang N, Han G, Li Y H, Wu J, Xia J H 2007 Appl. Phys. 40 273
[18] Inoue A, Zhang T, Masumoto T 1990 Mater. Trans. JIM. 31 177
[19] Li Y H, Zhang W, Dong C, Qiang J B, Makino A, Inoue A 2010 Intermetallics 18 1851
[20] Han G, Qiang J B,Wang Q,Wang YM, Zhu C L, Quan S G, Dong C, Häussler P 2011 Phil. Mag. 91 2404
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