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An experimental method to measure W-J parameters

Chen Li-Ying Liu Xiu-Ru Li Ming-Fa Zhang Dou-Dou Wang Ming-You Hong Shi-Ming

An experimental method to measure W-J parameters

Chen Li-Ying, Liu Xiu-Ru, Li Ming-Fa, Zhang Dou-Dou, Wang Ming-You, Hong Shi-Ming
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  • The W-J equation of state proposed by Wu qiang and Jing fu-qian is a volume equation with pressure and temperature as the independent variables, which is mutually complementary to the Grneisen equation of state, and is extending and perfecting in theory of the equation of state. It is significant to determine the W-J parameters for the study and application of the equation. The W-J parameters can be educed from the Grneisen parameters and adiabatic bulk modulus, but it is difficult to take into account the uncertainty of these parameters. In this paper we explore a method of direct measurement of the W-J parameters. Temperature and pressure were recorded in situ during the rapid compression process, in which the rate of change in temperature was obtained, with pressure at midpoint pressure during the isentropic compression process, through correcting temperature and increasing substantially pressure combined with mean value theorem, and finally the W-J parameters were obtained according to equation R=(P/T) ( T/ P)S. No additional parameter was introduced in the whole process. In addition, as a comparison, the W-J parameters and their relationship with the pressure of sodium chloride were also calculated by using the equation of state, the empirical formula and known parameters. The results showed that the experimentally measured W-J parameters are increased with increasing pressure, and all the W-J parameters obtained by experiments are in good agreement with those by calculation. This suggests that the experimental method in rapid compression process is feasible and reliable for the direct measurement of the W-J parameters.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10299040, 11004163, 10774123), and the Fundamental Research Funds for the Central Universities (Grant No. 2011-Ia-003).
    [1]

    Wu Q, Jing F Q 1996 J. Appl. Phys. 80 4343

    [2]

    Jing F Q 1999 Experimental Introduction to Equation of State (the second Edition) (Beijing: Science Press) p1-399 (in Chinese) [经福谦 1999 实验物态方程导引 (第二版) (北京: 科学出版社) 第1–399页]

    [3]

    Li X Z, Wu Q 2001 Chin. Journal of High Pressure Phys. 15 155 (in Chinese) [李欣竹, 吴强 2001 高压物理学报 15 155]

    [4]

    Geng H Y, Wu Q, Tan H 2001 Acta. Phys. Sin. 50 1334 (in Chinese) [耿华运, 吴强, 谭华 2001 物理学报 50 1334]

    [5]

    Geng H Y, Wu Q, Tan H 2002 Chin. Journal of High Pressure Phys. 16194 (in Chinese) [耿华运, 吴强, 谭华 2002 高压物理学报 16 194]

    [6]

    Tang W F, Zhang R Q 1999 An Introduction of the theoretic and Calculated Equation of State (Changsha: Press of Nation University of Defense Technology) p1-306 (in Chinese) [汤文辉, 张若棋 1999 物态方程理论及计算概论 (长沙: 国防大学出版社) 第1–306页]

    [7]

    Anderson O L 2000 Geophys. J. Int. 143 279

    [8]

    Wu Q 2004 Ph. D. Dissertation (Mianyang: Graduate School of China A Cademy of Engineering Physics) (in Chinese) [吴强 2004 博士学位论文 (绵阳: 中国工程物理研究院)]

    [9]

    Zhorkov V N, Kalinin V A 1971 Equation of State for Solids at High Pressure and Temperature. New York and London: Consultant Bureau, p1

    [10]

    Wu Q, Jing F Q 1995 Appl. Phys. Lett. 67 49

    [11]

    Wu Q, Jing F Q 1996 Chinese Journal of High Pressure Physics 10 1 (in Chinese) [吴强, 经福谦 1996 高压物理学报 10 1]

    [12]

    Boehler R, Kennedy G C 1977 J. Appl. Phys. 48 4183

    [13]

    Boehler R, Getting I C, Kennedy G C 1976 J. Phys. Chem. Solids 38 233

    [14]

    Ramakrishnan J, Boehler R, Higgins G H, Kennedy G C 1978 J. Geophys. Res. 83 3535

    [15]

    Hong S M, Chen L Y, Liu X R, Wu X H, Su L 2005 Rev. Sci. Instrum. 76 053905

    [16]

    Chen L Y 2005 M. S. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [陈丽英 2005 硕士学位论文 (成都: 西南交通大学)]

    [17]

    Huang D H, Liu X R, Su L, Shao C G, Jia R, Hong S M 2007 J. Phys. D: Appl. Phys. 40 5327

    [18]

    Huang D H, Liu X R, Su L, Hu Y, Lv S J, Liu H L, Hong S M 2007 Chin. Phys. Lett. 24 2441

  • [1]

    Wu Q, Jing F Q 1996 J. Appl. Phys. 80 4343

    [2]

    Jing F Q 1999 Experimental Introduction to Equation of State (the second Edition) (Beijing: Science Press) p1-399 (in Chinese) [经福谦 1999 实验物态方程导引 (第二版) (北京: 科学出版社) 第1–399页]

    [3]

    Li X Z, Wu Q 2001 Chin. Journal of High Pressure Phys. 15 155 (in Chinese) [李欣竹, 吴强 2001 高压物理学报 15 155]

    [4]

    Geng H Y, Wu Q, Tan H 2001 Acta. Phys. Sin. 50 1334 (in Chinese) [耿华运, 吴强, 谭华 2001 物理学报 50 1334]

    [5]

    Geng H Y, Wu Q, Tan H 2002 Chin. Journal of High Pressure Phys. 16194 (in Chinese) [耿华运, 吴强, 谭华 2002 高压物理学报 16 194]

    [6]

    Tang W F, Zhang R Q 1999 An Introduction of the theoretic and Calculated Equation of State (Changsha: Press of Nation University of Defense Technology) p1-306 (in Chinese) [汤文辉, 张若棋 1999 物态方程理论及计算概论 (长沙: 国防大学出版社) 第1–306页]

    [7]

    Anderson O L 2000 Geophys. J. Int. 143 279

    [8]

    Wu Q 2004 Ph. D. Dissertation (Mianyang: Graduate School of China A Cademy of Engineering Physics) (in Chinese) [吴强 2004 博士学位论文 (绵阳: 中国工程物理研究院)]

    [9]

    Zhorkov V N, Kalinin V A 1971 Equation of State for Solids at High Pressure and Temperature. New York and London: Consultant Bureau, p1

    [10]

    Wu Q, Jing F Q 1995 Appl. Phys. Lett. 67 49

    [11]

    Wu Q, Jing F Q 1996 Chinese Journal of High Pressure Physics 10 1 (in Chinese) [吴强, 经福谦 1996 高压物理学报 10 1]

    [12]

    Boehler R, Kennedy G C 1977 J. Appl. Phys. 48 4183

    [13]

    Boehler R, Getting I C, Kennedy G C 1976 J. Phys. Chem. Solids 38 233

    [14]

    Ramakrishnan J, Boehler R, Higgins G H, Kennedy G C 1978 J. Geophys. Res. 83 3535

    [15]

    Hong S M, Chen L Y, Liu X R, Wu X H, Su L 2005 Rev. Sci. Instrum. 76 053905

    [16]

    Chen L Y 2005 M. S. Dissertation (Chengdu: Southwest Jiaotong University) (in Chinese) [陈丽英 2005 硕士学位论文 (成都: 西南交通大学)]

    [17]

    Huang D H, Liu X R, Su L, Shao C G, Jia R, Hong S M 2007 J. Phys. D: Appl. Phys. 40 5327

    [18]

    Huang D H, Liu X R, Su L, Hu Y, Lv S J, Liu H L, Hong S M 2007 Chin. Phys. Lett. 24 2441

  • [1] Zou Ping, Lv Dan, Xu Gui-Ying. Microstructure and thermoelectric property of (Bi1–xTbx)2(Te0.9Se0.1)3 fabricated by high pressure sintering technique. Acta Physica Sinica, 2020, 69(5): 057201. doi: 10.7498/aps.69.20191561
    [2] High-speed and large-scale light-sheet microscopy with electrically tunable lens. Acta Physica Sinica, 2020, (): . doi: 10.7498/aps.69.20191908
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Publishing process
  • Received Date:  11 October 2012
  • Accepted Date:  11 October 2012
  • Published Online:  05 April 2013

An experimental method to measure W-J parameters

  • 1. Laboratory of High Pressure Physics, Southwest Jiaotong University, Chengdu 610031, China;
  • 2. School of Science, Wuhan University of Technology, Wuhan 430070, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 10299040, 11004163, 10774123), and the Fundamental Research Funds for the Central Universities (Grant No. 2011-Ia-003).

Abstract: The W-J equation of state proposed by Wu qiang and Jing fu-qian is a volume equation with pressure and temperature as the independent variables, which is mutually complementary to the Grneisen equation of state, and is extending and perfecting in theory of the equation of state. It is significant to determine the W-J parameters for the study and application of the equation. The W-J parameters can be educed from the Grneisen parameters and adiabatic bulk modulus, but it is difficult to take into account the uncertainty of these parameters. In this paper we explore a method of direct measurement of the W-J parameters. Temperature and pressure were recorded in situ during the rapid compression process, in which the rate of change in temperature was obtained, with pressure at midpoint pressure during the isentropic compression process, through correcting temperature and increasing substantially pressure combined with mean value theorem, and finally the W-J parameters were obtained according to equation R=(P/T) ( T/ P)S. No additional parameter was introduced in the whole process. In addition, as a comparison, the W-J parameters and their relationship with the pressure of sodium chloride were also calculated by using the equation of state, the empirical formula and known parameters. The results showed that the experimentally measured W-J parameters are increased with increasing pressure, and all the W-J parameters obtained by experiments are in good agreement with those by calculation. This suggests that the experimental method in rapid compression process is feasible and reliable for the direct measurement of the W-J parameters.

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