Volume 19 Issue 2
Apr 2015
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WU Qiang, JING Fu-Qian, LI Xin-Zhu. Determination of the Input Parameters B0K, B0K and 0K for 0 K Universal Isothermal Equation of State[J]. Chinese Journal of High Pressure Physics, 2005, 19(2): 97-104 . doi: 10.11858/gywlxb.2005.02.001
Citation: WU Qiang, JING Fu-Qian, LI Xin-Zhu. Determination of the Input Parameters B0K, B0K and 0K for 0 K Universal Isothermal Equation of State[J]. Chinese Journal of High Pressure Physics, 2005, 19(2): 97-104 . doi: 10.11858/gywlxb.2005.02.001

Determination of the Input Parameters B0K, B0K and 0K for 0 K Universal Isothermal Equation of State

doi: 10.11858/gywlxb.2005.02.001
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  • Corresponding author: WU Qiang
  • Received Date: 17 Jun 2004
  • Rev Recd Date: 12 Jul 2004
  • Publish Date: 05 Jun 2005
  • A method that is independent of the concrete forms of the isothermal equation of state is proposed to accurately determine the input parameters, which are the isothermal bulk modulus B0K, its first pressure derivative B0K and the specific density 0K at zero pressure and 0 K temperature, directly from the experimental Hugoniot data and without any assumption on the behavior of Grneisen parameter at high pressures and temperatures. Comparisons of these data with ultrasonic experiments demonstrate that the values of B0K, B0K and 0K calculated from this method are rational and of better precision.

     

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  • 经福谦. 实验物态方程导引 [M]. 北京: 科学出版社, 1986.
    徐锡申, 张万箱. 实用物态方程理论导引 [M]. 北京: 科学出版社, 1986.
    汤文辉, 张若棋. 物态方程理论及计算概论 [M]. 长沙: 国防科技大学出版社, 1999.
    Zharkov V N, Kalinin V A. Equation of State at High Pressures and Temperature [M]. New York: Plenum Consultants Bureau, 1971.
    Poirier J P. Introduction to the Physics of the Earth's Interior [M]. New York: Cambridge University Press, 1991.
    Holzapfel W B. Molecular Systems under High Pressure [M]. New York: Elsevier Science, 1991.
    Anderson O L. Equations of State of Solids for Geophysics and Ceramic Science [M]. New York: Oxford University Press, 1995.
    Poirer J P, Tarantola A. A Logarithmic Equation of State [J]. Phys Earth Planet Inter, 1998, 109: 1-8.
    Bose R S, Bose R P. An Equation of State Applied to Solid up to 1 TPa [J]. J Phys: Condens Matter, 1999, 11: 10375-10391.
    Bose R P, Bose R S. Applicability of Three-Parameter Equation of State of Solids: Compatibility with First Principles Approaches and Application to Solids [J]. J Phys: Condens Matter, 2003, 15: 1643-1663.
    Hofmeister A M. IR Spectroscopy of Alkali Halides at Very High Pressures: Calculation of Equations of State and of the Response of Bulk Moduli to the B1-B2 Phase Transition [J]. Phys Rev B, 1997, 56: 5835-5855.
    Simmons G, Wang H. Single Crystal Elastic Constants and Calculated Aggregate Properties(2nd ed)[M]. Cambridge, MA: MIT, 1971.
    Vaidya S N, Kennedy G C. Compressibility of 18 Metals to 45 kbar [J]. J Phys Chem Solids, 1970, 31: 2329-2345.
    Schulte O, Holzapfel W B. Effect of Pressure on the Atomic Volume of Zn, Cd, and Hg up to 75 GPa [J]. Phys Rev B, 1996, 53: 569-580.
    Marsh S P. Los Alamos Shock Hugoniot Data [M]. Berkeley: University of California Press, 1979.
    Mitchell A C, Nellis W J. Shock Compression of Aluminum, Copper, and Tantalum [J]. J Appl Phys, 1981, 52: 3363-3374.
    Mao H K, Bell P M, Shaner J W, et al. Specific Volume Measurements of Cu, Mo, Pd, and Ag and Calibration of the Ruby R1 Fluorescence Pressure Gauge from 0. 06 to 1 Mbar [J]. J Appl Phys, 1978, 49: 3276-3283.
    Shapiro J N, Knopoff L. Reduction of Shock-Wave Equations of State to Isothermal Equations of State [J]. J Geophys Res, 1969, 74: 1435-1438.
    Hu J B, Jing F Q. A Simplified Analytical Method for Calculations of Equation-of-State of Materials from Shock Compression Data [J]. Chinese Journal of High Pressure Physics, 1990, 4(3): 175-186. (in Chinese)
    胡金彪, 经福谦. 用冲击压缩数据计算物质结合能的一个简便解析方法 [J]. 高压物理学报, 1990, 4(3): 175-186.
    Hixson R S, Fritz J N. Shock Compression of Tungsten and Molybdenum [J]. J Appl Phys, 1992, 71: 1721-1728.
    Wang Y, Ahuja R, Johansson B. Reduction of Shock-Wave Data with Mean-Field Potential Approach [J]. J Appl Phys, 2002, 92: 6616-6620.
    Anderson O L. The Grneisen Ratio for the Last 30 Years [J]. Geophys J Int, 2000, 143: 279-294.
    Cohen R E, Glseren O, Hemley R J. Accuracy of Equation-of-State Formulations [J]. American Mineralogist, 2000, 85: 338-344.
    Gray D E. American Institute of Physics Handbook(3rd ed) [M]. New York: McGraw-Hill, 1972.
    Taravillo M, Baonza V G, Nez J, et al. Simple Equation of State for Solids under Compression [J]. Phys Rev B, 1996, 54: 7034-7045.
    Touloukia Y S, Kirby R K, Taylor R E, et al. Thermophysical Properties of Matter, Vol 12, Thermal Expansion-Metallic Elements and Alloys (2nd ed) [M]. New York-Washington: IFI/Plenum, 1977.
    Rose J H, Smith J R, Guinea F, Ferrante J. Universal Features of the Equation of State of Metals [J]. Phys Rev B, 1984, 29: 2963-2969.
    Fiolhais C, Perdew J P, Armster S Q, et al. Dominant Density Parameters and Local Pseudopotentials for Simple Metals [J]. Phys Rev B, 1995, 51: 14001-14011.
    Alchagirov A B, Perdew J P, Boettger J C, et al. Energy and Pressure versus Volume: Equations of State Motivated by the Stabilized Jellium Model [J]. Phys Rev B, 2001, 63: 224115-1-224115-16.
    Wallace D C. Lattice Dynamical Calculation of Some Thermodynamic Properties for Aluminum [J]. Phys Rev B, 1970, 1: 3963-3966.
    Leisure R G, Hsu D K, Seiber B A. Elastic Properties of Tantalum over the Temperature Range 4~300 K [J]. J Appl Phys, 1973, 44: 3394-3397.
    Akimoto S, Manghnani M H. High-Pressure Research in Geophysics [M]. Tokyo: Center for Academic Publishing, 1982.
    Heinz D L, Jeanloz R. The Equation of State of the Gold Calibration Standard [J]. J Appl Phys, 1984, 55: 885-893.
    Anderson O L, Isaak D G, Yamamoto S. Anharmonicity and the Equation of State for Gold [J]. J Appl Phys, 1989, 65: 1534-1543.
    Holmes N C, Moriarty J A, Gathers G R, et al. The Equation of State of Platinum to 660 GPa (6. 6 Mbar) [J]. J Appl Phys, 1989, 66: 2962-2967.
    Kamm G N, Alers G A. Low-Temperature Elastic Moduli of Aluminum [J]. J Appl Phys, 1964, 35: 327-330.
    Sutton P M. The Variation of the Elastic Constants of Crystalline Aluminum with Temperature Between 63 K and 773 K [J]. Phys Rev, 1953, 91: 816-821.
    Boettger J C, Trickey S B. Total Energy and Pressure in the Gaussian-Orbitals Technique. II. Pressure-Include Crystallographic Phase Transition and Equilibrium Properties of Aluminum [J]. Phys Rev B, 1984, 29: 6434-6442.
    Vaks V G, Zarocentsev E V, Kravchuk S P, et al. Temperature Dependence of the Elastic Constants in Alkali Metals [J]. J Phys F, 1978, 8: 725-742.
    Christensen N E, Ruoff A L, Rodriguez C O. Pressure Strengthening: A Way to Multimegabar Static Pressures [J]. Phys Rev B, 1995, 52: 9121-9124.
    Ruoff A L, Rodriguez C O, Christensen N E. Elastic Moduli of Tungsten to 15 Mbar, Phase Transition at 6. 5 Mbar, and Rheology to 6 Mbar [J]. Phys Rev B, 1998, 58: 2998-3002.
    Boettger J C. Equation of State for Tantalum from Relativistic Linear Combinations of Gaussian-Type Orbitals Calculations [J]. Phys Rev B, 2001, 64: 035103-1-035103-5.
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