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Based on the GRAY equation of state (EOS), we establish a solid-liquid-gas three-phase complete EOS, and compare it with the experimental isothermal compression data, Hugoniot data, melting data and thermodynamic functions under ambient pressure. It is indicated that the EOS in this paper can describe reasonably the thermodynamic state of aluminum in a wide region.
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Keywords:
- Helmholtz free energy /
- GRAY three phase EOS /
- aluminum
[1] Royce E B 1971 Lawrence Livermore Lab Report: UCRL 51121
[2] Grover R 1971 J. Chem. Phys. 55 3435
[3] Young D A, Alder B J 1971 Phys. Rev. A 3 364
[4] Peng X J, Liu F S 2012 Acta Phys. Sin. 61 186201 (in Chinese)[彭小娟, 刘福生 2012 物理学报 61 186201]
[5] Wallace D C 1972 Thermodynamics of Crystals (Wiley: New York)
[6] Vinet P, Ferrante J, Rose J H, Smith J R 1989 J. Phys. Condens. Matter 1 1941
[7] Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 物理学报 58 1879]
[8] Li Y H, Chang J Z, Li X M, Zhang L 2012 Chin. Phys. Lett. 29 046201
[9] Tian R G, Sun J X 2011 Chin. Phys. B 20 080508
[10] Kamm G N, Alers G A 1964 J. App. Phys. 35 327
[11] Ho P S, Ruoff A I 1969 J. App. Phys. 40 3151
[12] Straub G K, Aidun J B, Wills J M, Sanchez-Castro C R, Wallace D C 1994 Phys. Rev. B 50 5055
[13] Xu X S, Zhang W X 2004 Introduction to Practical Equation of State Theory (Beijing: Science Press) p521 (in Chinese) [徐锡申, 张万箱 2004 实用物态方程理论导引 (北京：科学出版社) 第521页]
[14] Moriarty J A, Young D A, Ross M 1984 Phys. Rev. B 30 578
[15] Boehler R, Ross M 1997 Earth Planet. Sci. Lett. 153 223
[16] Hanstrom A, Lazor P 2000 J. Alloys Compd. 305 209
[17] McQueen R G, Fritz J N, Morris C E 1983 Shock Waves in condensed matter Amsterdam, North Holland, 1984 p95
[18] Pelissier J L 1984 Physica A 128 363
[19] Dewaele A, Loubeyre P, Mezouar M 2004 Phys. Rev. B 70 094112
[20] Greene R G, Luo H, Ruoff A L 1994 Phys. Rev. Lett. 73 2075
[21] Akahama Y, Nishimura M, Kinoshita K, Kawamura H 2006 Phys. Rev. Lett. 96 045505
[22] Nellis W J, Moriarty J A, Mitchell A C, Ross M, Dandrea R G, Ashcroft N W, Holmes N C, Gathers G R 1988 Phys. Rev. Lett. 60 1414
[23] Celliers P M, Collins G W, Hicks D G, Eggert J H 2005 J. App. Phys. 98 11352
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[1] Royce E B 1971 Lawrence Livermore Lab Report: UCRL 51121
[2] Grover R 1971 J. Chem. Phys. 55 3435
[3] Young D A, Alder B J 1971 Phys. Rev. A 3 364
[4] Peng X J, Liu F S 2012 Acta Phys. Sin. 61 186201 (in Chinese)[彭小娟, 刘福生 2012 物理学报 61 186201]
[5] Wallace D C 1972 Thermodynamics of Crystals (Wiley: New York)
[6] Vinet P, Ferrante J, Rose J H, Smith J R 1989 J. Phys. Condens. Matter 1 1941
[7] Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 物理学报 58 1879]
[8] Li Y H, Chang J Z, Li X M, Zhang L 2012 Chin. Phys. Lett. 29 046201
[9] Tian R G, Sun J X 2011 Chin. Phys. B 20 080508
[10] Kamm G N, Alers G A 1964 J. App. Phys. 35 327
[11] Ho P S, Ruoff A I 1969 J. App. Phys. 40 3151
[12] Straub G K, Aidun J B, Wills J M, Sanchez-Castro C R, Wallace D C 1994 Phys. Rev. B 50 5055
[13] Xu X S, Zhang W X 2004 Introduction to Practical Equation of State Theory (Beijing: Science Press) p521 (in Chinese) [徐锡申, 张万箱 2004 实用物态方程理论导引 (北京：科学出版社) 第521页]
[14] Moriarty J A, Young D A, Ross M 1984 Phys. Rev. B 30 578
[15] Boehler R, Ross M 1997 Earth Planet. Sci. Lett. 153 223
[16] Hanstrom A, Lazor P 2000 J. Alloys Compd. 305 209
[17] McQueen R G, Fritz J N, Morris C E 1983 Shock Waves in condensed matter Amsterdam, North Holland, 1984 p95
[18] Pelissier J L 1984 Physica A 128 363
[19] Dewaele A, Loubeyre P, Mezouar M 2004 Phys. Rev. B 70 094112
[20] Greene R G, Luo H, Ruoff A L 1994 Phys. Rev. Lett. 73 2075
[21] Akahama Y, Nishimura M, Kinoshita K, Kawamura H 2006 Phys. Rev. Lett. 96 045505
[22] Nellis W J, Moriarty J A, Mitchell A C, Ross M, Dandrea R G, Ashcroft N W, Holmes N C, Gathers G R 1988 Phys. Rev. Lett. 60 1414
[23] Celliers P M, Collins G W, Hicks D G, Eggert J H 2005 J. App. Phys. 98 11352
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