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Modified Einstein Model to Consider Thermal Effect and Applied to Three Universal Equations of State
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Chao ZHANG, Jiu-Xun SUN, Rong-Gang TIAN, Ming LI
Chinese Journal of High Pressure Physics | 2007, 21(3) : 269 - 278
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Chinese Journal of High Pressure Physics | 2007, 21(3): 269-278
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Modified Einstein Model to Consider Thermal Effect and Applied to Three Universal Equations of State
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Chao ZHANG, Jiu-Xun SUN, Rong-Gang TIAN, Ming LI
Affiliations
  • Department of Applied Physics, University of Electronic Science and Technology, Chengdu 610054, China

    • ZHANG Chao (1980—), male, master of physics. Main interest: Thermo-physical properties of condensed matters. E-mail:

About Author:

ZHANG Chao (1980—), male, master of physics. Main interest: Thermo-physical properties of condensed matters. E-mail:

Published: 2007-09-05
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The Einstein model to consider thermal effect in universal equations of state (UEOS) is modified. It is proposed that the zero-point vibration term should be deleted in a thermal UEOS, and the parameters can not be directly taken as experimental data at a reference temperature, VR, BR, B′R and , but their values at absolute zero temperature, V0, B0, B′0 and . An approach is proposed to solve V0, B0, B′0 and from VR, BR, B′R and . The approaches are applied to three typical universal EOSs, including the Baonza, mMNH and Vinet EOSs. The numerical results show that the solved values of parameters are almost identical for different EOSs. And the thermo-physical properties predicted through different EOSs are almost identical at zero and low-pressure conditions, once the same approach and input experimental data are used to solve parameters. It is concluded that the prediction of thermo-physical properties at zero and low-pressure conditions cannot be taken as the criteria to judge the applicability of a universal EOS.

equation-of-state  /  high-pressure  /  thermodynamic properties  /  thermal expansions
张超, 孙久勋, 田荣刚, 李明. 对爱因斯坦模型的修正及考虑热效应的三个通用状态方程. 高压物理学报, 2007 , 21 (3) : 269 -278 .
Chao ZHANG, Jiu-Xun SUN, Rong-Gang TIAN, Ming LI. Modified Einstein Model to Consider Thermal Effect and Applied to Three Universal Equations of State[J]. Chinese Journal of High Pressure Physics, 2007 , 21 (3) : 269 -278 .
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Funding
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  • Program of Sichuan Province of China under Grant(06ZQ026-010)
  • Program of Education Ministration of China under Grant(NCET-05-0799)
  • Program of UESTC under Grant(23601008)
References
Less
[1]
Rose J H, Smith J R, Guinea F. Universal Features of the Equation of State of Metals[J]. Phys Rev B, 1984, 29(6): 2963-2969.
[2]
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(4): 1945-1953.
[3]
Dodson B. Universal Scaling Relations in Compressibility of Solids[J]. Phys Rev B, 1987, 35(6): 2619-2625.
[4]
Kumari M, Dass N. An Equation of State Applied to Sodium Chloride and Caesium Chloride at High Pressures and High Temperatures[J]. J Phys: Condens Matter, 1990, 2(14): 3219-3229.
[5]
Kuchhal P, Kumar R, Dass N. Equation of State of Liquid Metals from Sound-Velocity Measurements[J]. Phys Rev B, 1997, 55(13): 8042-8044.
[6]
Parsafar G, Mason E A. Universal Equation of State for Compressed Solids[J]. Phys Rev B, 1994, 49(5): 3049-3060.
[7]
Hama J, Suito K. The Search for a Universal Equation of State Correct up to Very High Pressures[J]. J Phys: Condens Matter, 1996, 8(1): 67-81.
[8]
Baonza V G, Caceres M, Nunez J. The Spinodal as a Reference Curve for the High-Pressure Volumetric Behavior of Liquids[J]. Chem Phys Lett, 1993, 216(3-6): 579-584.
[9]
Baonza V G, Caceres M, Nunez J. High-Pressure Compressibility Behavior of Liquids Referred to a Pseudospinodal Curve[J]. Chem Phys Lett, 1994, 228(1-3): 137-143.
[10]
Baonza V G, Caceres M, Nunez J. Experimental Measurement of Quasi-Fermi Levels at an Illuminated Semiconductor/Liquid Contact[J]. J Phys Chem, 1994, 98(19): 4955-4958.
[11]
Baonza V G, Caceres M, Nunez J. Universal Compressibility Behavior of Dense Phases[J]. Phys Rev B, 1995, 51(1): 28-37.
[12]
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(9): 5252-5258.
[13]
Taravillo M, Baonza V G, Caceres M, et al. Simple Equation of State for Solids under Compression[J]. Phys Rev B, 1996, 54(10): 7034-7045.
[14]
Taravillo M, Baonza V G, Rubio M, et al. The Temperature Dependence of the Equation of State at High Pressures Revisited: A Universal Model for Solids[J]. J Phys Chem Solids, 2002, 63(9): 1705-1715.
[15]
Brosh E, Makov G, Shneck R Z. The Spinodal Constraint on the Equation of State of Expanded Fluids[J]. J Phys: Condens Matter, 2003, 15(19): 2991-3001.
[16]
Sushil B R, Papiya B R. An Equation of State Applied to Solid up to 1 TPa[J]. J Phys: Condens Matter, 1999, 11(50): 10375-10391.
[17]
Holzapfel W B. Physics of Solids under Strong Compression[J]. Reports on Progress in Physics, 1996, 59(1): 29-90.
[18]
Holzapfel W B. Equations Comment on “Energy and Pressure versus Volume of State Motivated by the Stabilized Jellium Model”[J]. Phys Rev B, 2003, 67(2): 026102-026104.
[19]
Sun J X, Wu Q, Cai L C, et al. Two Universal Equations of State for Solids Satisfying the Limiting Condition at High Pressure[J]. J Phys Chem Solids, 2005, 66(5): 773-782.
[20]
Wang Zh Ch. Thermodynamics and Statistical Physics[M]. 3rd ed. Beijing: Higher Education Press, 2003: 309-317. (in Chinese).
汪志诚. 热力学·统计物理[M]. 第三版. 北京: 高等教育出版社, 2003: 309-317.
[21]
Nellis W J. Shock Compression of a Free-Electron Gas[J]. J App Phys, 2003, 94(1): 272-275.
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Year 2007 volume 21 Issue 3
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Article Info
  • Receive Date：2006-09-22
  • Online Date：2026-11-01
  • Published：2007-09-05
Article Data
Affiliations
History
  • Received：2006-09-22
  • Revised：2007-03-15
Funding
Program of Sichuan Province of China under Grant(06ZQ026-010)
Program of Education Ministration of China under Grant(NCET-05-0799)
Program of UESTC under Grant(23601008)
Affiliations
    Department of Applied Physics, University of Electronic Science and Technology, Chengdu 610054, China

Corresponding:

SUN Jiu-Xun, (1967—), male, doctor of physics, professor. Main interest: Equation of state, phase equilibrium and phase transition. E-mail:
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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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