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In this paper, Invar alloy composition is described by using binary cluster as basic structural unit. We use “cluster resonance” structure model and establish the connection of a known binary clusters with atoms by an atomic ratio of 1:x to describe Invar alloy component empirical criterion. Invar alloy composition formula is given, that is, Invar alloy component=[clusters]1 (glue atom)x. Using this criterion, some of Invar alloy compositions are calculated, and it is confirmed that the experimentally determined typical Invar alloy compositions are in good agreement with the compositions calculated from the formula. This shows that the formation of the rule of the Invar alloy composition is well explained by the composition formulae criterion.
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Keywords:
- Invar alloys /
- cluster resonance /
- glue atom /
- electrochemical potentials
[1] Salvador J R, Guo F, Hogan T, Kanatzidis M G 2003 Nature 425 702
[2] Dai W 2004 Physics 33 358 (in Chinese) [戴闻 2004 物理 33 358]
[3] Vinogradov A, Hashimoto S, Kopylov V I 2003 Mater. Sci. Engineer. A 355 277
[4] Harner L L 1997 Adv. Mater. Process. 151 31
[5] Huang Z G, Wang J P 1990 Acta Phys. Sin. 39 1842 (in Chinese) [黄志高, 王建平 1990 39 1842]
[6] Jin M Z, Yu E H, Sun S Z 1983 Acta Phys. Sin. 32 947 (in Chinese) [金明芝, 于恩华, 孙绍周 1983 32 947]
[7] Liu F S, Chen X P, Xie H X, Ao W Q, Li J Q 2010 Acta Phys. Sin. 59 3350 (in Chinese) [刘福生, 陈贤鹏, 谢华兴, 敖伟琴, 李均钦 2010 59 3350]
[8] Yuan H L, Yuan B H, Li F, Liang E J 2012 Acta Phys. Sin. 61 226502 (in Chinese) [袁焕丽, 袁保合, 李芳, 梁二军2012 61 226502]
[9] Zhou T T, Huang F L 2012 Acta Phys. Sin. 61 246501 (in Chinese) [周婷婷, 黄风雷 2012 61 246501]
[10] Takenaka K 2012 Sci. Technol. Adv. Mater. 13 013001
[11] Tong P, Wang B S, Sun Y P 2013 Chin. Phys. B 22 067501
[12] Li Q J, Yuan B H, Song W B, Liang E J, Yuan B 2012 Chin. Phys. B 21 046501
[13] Wu M M, Peng J, Zu Y, Liu R D, Hu Z B, Liu Y T, Chen D F 2012 Chin. Phys. B 21 116102
[14] Dai W 2000 Physics 29 63 (in Chinese) [戴闻 2000 物理 29 63]
[15] Xia J H, Qiang J B, Wang Y M, Wang Q, Dong C 2006 Appl. Phys. Lett. 88 1019071
[16] 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, 羌建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 55 378]
[17] 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
[18] Han G, Qiang J B, Wang Q, Wang Y M, Xia J H, Zhu C L, Quan S G, Dong C 2012 Acta Phys. Sin. 61 036402 (in Chinese) [韩光, 羌建滨, 王清, 王英敏, 夏俊海, 朱春雷, 全世光, 董闯 2012 61 036402]
[19] Han G, Qiang J B, Wang Q, Wang Y M, Zhu C L, Quan S G, Dong C, Häussler P 2011 Phil. Mag. 91 2404
[20] Bernal J D 1959 Nature 183 141
[21] Mackay A L, Finney J L 1973 J. Appl. Cryst. 6 284
[22] Chen J X, Qiang J B, Wang Q, Dong C 2012 Acta Phys. Sin. 61 046102 (in Chinese) [陈季香, 羌建兵, 王清, 董闯 2012 61 046102]
[23] Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil. Mag. 90 3961
[24] Häussler P, Nowak H, Bhuiyan M, Barzola Q J 2002 Physica B 316–317 489
[25] Friedel J 1958 Nuovo Cimento 7 287
[26] Birch F 1996 Hand Book of Physics Constants 97 107
[27] Jellinghaus W, Andrés M P 1960 Ann. Phys. 5 187
[28] Belov K P, Svirina E P 1966 Sov. Phys. Solid State 8 967
[29] Saito H, Fukamichi K 1971 Trans. JIM 12 68
[30] Masumoto H, Kikuchi M, Nakayama T 1983 Trans. JIM 24 42
[31] McCain W S, Maringer R E 1965 Battelle Memorials Inst. DMIC Memorandum 207
[32] Fukamichi K, Hiroyoshi H 1985 Sci. Rep. RITU A 32 154
[33] Hiroyoshi H, Fukamichi K, Kikuchi M, Hoshi A, Masumoto T 1999 Phys. Lett. A 65 163
[34] Shiga M 1967 J. Phys. Soc. Japan 22 539
[35] Sohmura T, Fujita F, Okuhata M 1979 J. Phys. Colloques 40 C2-207
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[1] Salvador J R, Guo F, Hogan T, Kanatzidis M G 2003 Nature 425 702
[2] Dai W 2004 Physics 33 358 (in Chinese) [戴闻 2004 物理 33 358]
[3] Vinogradov A, Hashimoto S, Kopylov V I 2003 Mater. Sci. Engineer. A 355 277
[4] Harner L L 1997 Adv. Mater. Process. 151 31
[5] Huang Z G, Wang J P 1990 Acta Phys. Sin. 39 1842 (in Chinese) [黄志高, 王建平 1990 39 1842]
[6] Jin M Z, Yu E H, Sun S Z 1983 Acta Phys. Sin. 32 947 (in Chinese) [金明芝, 于恩华, 孙绍周 1983 32 947]
[7] Liu F S, Chen X P, Xie H X, Ao W Q, Li J Q 2010 Acta Phys. Sin. 59 3350 (in Chinese) [刘福生, 陈贤鹏, 谢华兴, 敖伟琴, 李均钦 2010 59 3350]
[8] Yuan H L, Yuan B H, Li F, Liang E J 2012 Acta Phys. Sin. 61 226502 (in Chinese) [袁焕丽, 袁保合, 李芳, 梁二军2012 61 226502]
[9] Zhou T T, Huang F L 2012 Acta Phys. Sin. 61 246501 (in Chinese) [周婷婷, 黄风雷 2012 61 246501]
[10] Takenaka K 2012 Sci. Technol. Adv. Mater. 13 013001
[11] Tong P, Wang B S, Sun Y P 2013 Chin. Phys. B 22 067501
[12] Li Q J, Yuan B H, Song W B, Liang E J, Yuan B 2012 Chin. Phys. B 21 046501
[13] Wu M M, Peng J, Zu Y, Liu R D, Hu Z B, Liu Y T, Chen D F 2012 Chin. Phys. B 21 116102
[14] Dai W 2000 Physics 29 63 (in Chinese) [戴闻 2000 物理 29 63]
[15] Xia J H, Qiang J B, Wang Y M, Wang Q, Dong C 2006 Appl. Phys. Lett. 88 1019071
[16] 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, 羌建兵, 王英敏, 夏俊海, 林哲, 张新房, 董闯 2006 55 378]
[17] 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
[18] Han G, Qiang J B, Wang Q, Wang Y M, Xia J H, Zhu C L, Quan S G, Dong C 2012 Acta Phys. Sin. 61 036402 (in Chinese) [韩光, 羌建滨, 王清, 王英敏, 夏俊海, 朱春雷, 全世光, 董闯 2012 61 036402]
[19] Han G, Qiang J B, Wang Q, Wang Y M, Zhu C L, Quan S G, Dong C, Häussler P 2011 Phil. Mag. 91 2404
[20] Bernal J D 1959 Nature 183 141
[21] Mackay A L, Finney J L 1973 J. Appl. Cryst. 6 284
[22] Chen J X, Qiang J B, Wang Q, Dong C 2012 Acta Phys. Sin. 61 046102 (in Chinese) [陈季香, 羌建兵, 王清, 董闯 2012 61 046102]
[23] Luo L J, Wu J, Wang Q, Wang Y M, Han G, Dong C 2010 Phil. Mag. 90 3961
[24] Häussler P, Nowak H, Bhuiyan M, Barzola Q J 2002 Physica B 316–317 489
[25] Friedel J 1958 Nuovo Cimento 7 287
[26] Birch F 1996 Hand Book of Physics Constants 97 107
[27] Jellinghaus W, Andrés M P 1960 Ann. Phys. 5 187
[28] Belov K P, Svirina E P 1966 Sov. Phys. Solid State 8 967
[29] Saito H, Fukamichi K 1971 Trans. JIM 12 68
[30] Masumoto H, Kikuchi M, Nakayama T 1983 Trans. JIM 24 42
[31] McCain W S, Maringer R E 1965 Battelle Memorials Inst. DMIC Memorandum 207
[32] Fukamichi K, Hiroyoshi H 1985 Sci. Rep. RITU A 32 154
[33] Hiroyoshi H, Fukamichi K, Kikuchi M, Hoshi A, Masumoto T 1999 Phys. Lett. A 65 163
[34] Shiga M 1967 J. Phys. Soc. Japan 22 539
[35] Sohmura T, Fujita F, Okuhata M 1979 J. Phys. Colloques 40 C2-207
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