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Thermal Vinet Equation of State and Its Applications
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Jiu-Xun SUN1, Qiang WU2, Ling-Cang CAI2, Fu-Qian JING2
Chinese Journal of High Pressure Physics | 2004, 18(2) : 109 - 115
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Chinese Journal of High Pressure Physics | 2004, 18(2): 109-115
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Thermal Vinet Equation of State and Its Applications
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Jiu-Xun SUN1, Qiang WU2, Ling-Cang CAI2, Fu-Qian JING2
Affiliations
  • 1.Department of Applied Physics, University of Electronic Science & Technology, Chengdu 610054, China
  • 2.Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China

    • SUN Jiu-Xun(1967—), male, Doctor of physics, Professor. E-mail:

About Author:

SUN Jiu-Xun(1967—), male, Doctor of physics, Professor. E-mail:

Published: 2004-06-05
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Based on the Einstein model, the universal equation of state for solids proposed by Vinet et al. is extended to include the thermal effect. Employing the nearest neighbor generalized Lennard-Jones potential to describe the effective interaction between the ions, the lattice part of potential energy per atom is expanded as quadratic function of displacement of ion to derive the Einstein temperature and Debye-Grüneisen parameter as a function of the volume. The theory contains four potential parameters except for the three parameters in the Vinet EOS, but only five of them are independent, and as the temperature being higher than the Debye temperature, the number of independent parameter can be further reduced to four. The theory is applied for 23 metallic solids, to predict Debye-Grüneisen parameters and compressibility coefficients at chamber temperature. The predicted results are in good agreement with the experimental data. The predicted variation of compressibility and thermal expansivity coefficients with temperature for gold, copper, xenon and sodium chloride also are in good agreement with the experimental data.

equation of state  /  Einstein model  /  thermodynamic properties
孙久勋, 吴强, 蔡灵仓, 经福谦. 考虑热效应的Vinet状态方程及其应用. 高压物理学报, 2004 , 18 (2) : 109 -115 .
Jiu-Xun SUN, Qiang WU, Ling-Cang CAI, Fu-Qian JING. Thermal Vinet Equation of State and Its Applications[J]. Chinese Journal of High Pressure Physics, 2004 , 18 (2) : 109 -115 .
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Funding
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  • Science Foundation outer of the China Academy of Engineering Physics(99010102)
  • Natural Science Foundation of China(19904002)
  • Youth Science and Technology Foundation of UESTC
References
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[1]
Rose J H, Ferrante J, Smith J R. Universal Binding Energy Curves for Metals and Bimetallic Interfaces[J]. Phys Rev Lett, 1981, 47: 675.
[2]
Rose J H, Vary J P, Smith J R. Nuclear Equation of State from Scaling Relations for Solids[J]. Phys Rev Lett, 1984, 53: 344.
[3]
Rose J H, Smith J R, Guinea F, et al. Universal Features of the Equation of State of Metals[J]. Phys Rev B, 1984, 29: 2963.
[4]
Vinet P, Ferrante J, Smith J R, et al. A Universal Equation of State for Solids[J]. J Phys C, 1986, 19: L467.
[5]
Vinet P, Smith J R, Ferrante J, et al. Temperature Effects on the Universal Equation of State of Solids[J]. Phys Rev B, 1987, 35: 1945.
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Vinet P, Rose J H, Ferrante J, et al. Universal Features of the Equation of State of Solids[J]. J Phys: Condensed Matter, 1989, 1: 1941.
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Xu X S, Zhang W X. Introduction for Practical Theory of Equation of State[M]. Beijing: Science Press, 1986. (in Chinese)
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Westera K, Cowley E R. Cell-Cluster Expansion for an Anharmonic Solid[J]. Phys Rev B, 1975, 11: 4008.
[9]
Sun J X, Wu Q, Cai L C, et al. Analytic Equation of State for Generalized Lennard-Jones Solid Including Lowest-Order Anharmonic and Correlation Corrections[J]. Chinese Physics, 2000, 9(12): 1009.
[10]
Baonza V G, Taravillo M, Caceres M, et al. Universal Features of the Equation of State of Solids from a Pseudospinodal Hypothesis[J]. Phys Rev B, 1996, 53: 5252.
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Fernandez G E. A Debye-Grüneisen Thermal Correction to the Murnaghan Equation of State for Solids[J]. J Phys Chem Solids, 1998, 59: 867.
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Qian X S. A Lecture for Physical Mechanics[M]. Beijing: Science Press, 1962. (in Chinese)
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Varavillo M T, Baonza G. The Temperature Dependence of the Equation of State at High Pressure Revisited: An Universal Model for Solids[J]. J Phys Chem Solids, 2002, 63: 1705.
Appendix
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Year 2004 volume 18 Issue 2
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22
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Article Info
  • Receive Date：2003-05-23
  • Online Date：2026-10-31
  • Published：2004-06-05
Article Data
Affiliations
History
  • Received：2003-05-23
  • Revised：2003-09-12
Funding
Science Foundation outer of the China Academy of Engineering Physics(99010102)
Natural Science Foundation of China(19904002)
Youth Science and Technology Foundation of UESTC
Affiliations
    1.Department of Applied Physics, University of Electronic Science & Technology, Chengdu 610054, China
    2.Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China
References
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表12种不同金属材料的力学参数
科
Family		 属数
Number of
genus		 种数
Number of
species		 占总种数比例
Percentage of
total species (%)		 属
Genus		 种数
Number of
species		 占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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