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According to the definition of disordered entropy, we obtain the equation of state (EOS) of liquid metals. Then due to the fact that the fraction of liquid present in the mixed phase region is assumed to be not linear with temperature but linear with volume, the incorrect hypothesis of the fraction of liquid present in Grover model is clarified. The more accurate formula to express the EOS of solid-liquid mixed phase is obtained. The calculations from Grover model show that the solidus, liquidus and melting line do not coincide in the P-T graph as they should be. The modified results are shown to be in good coincidence with the three lines in the P-T graph.
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Keywords:
- equation of state /
- Grover model
[1] Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory (Beijing: Science ress) p4 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社) 第4页]
[2] Grover R 1971 J. Chem. Phys. 55 3435
[3] Song P, Cai L C 2010 Phys. B: Condensed Matter 405 1509
[4] Zhang X, Liu Z, Gu Y, Cai L C, Jing F Q 2008 Phys. B: Condensed Matter 403 3261
[5] Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 58 1879]
[6] Huang H J, Cai L C, Tian X 2007 Chin. J. High Pres. Phys. 21 205 (in Chinese) [黄海军, 蔡灵仓, 田旭 2007 高压 21 205]
[7] Sun Y H 2009 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) p55 (in Chinese) [孙峪怀 2009 博士学位论文 (成都: 西南交通大学) 第55页]
[8] Neal T 1976 Phys. Rev. B 14 5172
[9] van Thiel M, Ross M, Hord B L, Mitchell A C, Gust W H, D'Addario M J, Keeler R N, Boutwell K 1973 Phys. Rev. Lett. 31 979
[10] Oriani R 1951 J. Chem. Phys. 19 93
[11] Luo S N, Ahrens T J 2004 Phys. Earth Planet. Int. 143 369
[12] Jing F Q 1999 Introduction to Experimental Equation of State (Beijing: Science Press) p28 (in Chinese) [经福谦 1999 实验物态方程导引 (北京: 科学出版社) 第28页]
[13] Brown J M, McQueen R G 1986 J. Geophys. Res. 91 7485
[14] Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory ( Beijing: Science Press) p333 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社)第333页]
[15] Dai C D, Tan H, Gen H Y 2002 J. Appl. Phys. 92 5019
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[1] Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory (Beijing: Science ress) p4 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社) 第4页]
[2] Grover R 1971 J. Chem. Phys. 55 3435
[3] Song P, Cai L C 2010 Phys. B: Condensed Matter 405 1509
[4] Zhang X, Liu Z, Gu Y, Cai L C, Jing F Q 2008 Phys. B: Condensed Matter 403 3261
[5] Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 58 1879]
[6] Huang H J, Cai L C, Tian X 2007 Chin. J. High Pres. Phys. 21 205 (in Chinese) [黄海军, 蔡灵仓, 田旭 2007 高压 21 205]
[7] Sun Y H 2009 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) p55 (in Chinese) [孙峪怀 2009 博士学位论文 (成都: 西南交通大学) 第55页]
[8] Neal T 1976 Phys. Rev. B 14 5172
[9] van Thiel M, Ross M, Hord B L, Mitchell A C, Gust W H, D'Addario M J, Keeler R N, Boutwell K 1973 Phys. Rev. Lett. 31 979
[10] Oriani R 1951 J. Chem. Phys. 19 93
[11] Luo S N, Ahrens T J 2004 Phys. Earth Planet. Int. 143 369
[12] Jing F Q 1999 Introduction to Experimental Equation of State (Beijing: Science Press) p28 (in Chinese) [经福谦 1999 实验物态方程导引 (北京: 科学出版社) 第28页]
[13] Brown J M, McQueen R G 1986 J. Geophys. Res. 91 7485
[14] Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory ( Beijing: Science Press) p333 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社)第333页]
[15] Dai C D, Tan H, Gen H Y 2002 J. Appl. Phys. 92 5019
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