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Chinese Journal of High Pressure Physics  > 2006  >  20(3): 313-321 .
HU Jing, SUN Jiu-Xun, CAI Ling-Cang. Comparative Research of Applicability of Four Isothermal Equations of State[J]. Chinese Journal of High Pressure Physics, 2006, 20(3): 313-321 . doi: 10.11858/gywlxb.2006.03.016
Citation: HU Jing, SUN Jiu-Xun, CAI Ling-Cang. Comparative Research of Applicability of Four Isothermal Equations of State[J]. Chinese Journal of High Pressure Physics, 2006, 20(3): 313-321 . doi: 10.11858/gywlxb.2006.03.016
shu

Comparative Research of Applicability of Four Isothermal Equations of State

doi: 10.11858/gywlxb.2006.03.016
  • 1.

    Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, CAEP, Mianyang 621900, China;

  • 2.

    Department of Applied Physics, University of Electronic Science & Technology, Chengdu 610054, China

More Information
  • Corresponding author: HU Jing
  • Received Date: 26 Jan 2005
  • Rev Recd Date: 30 May 2005
  • Publish Date: 05 Sep 2006
    Abstract
  • It is pointed out that four equations of state are popular in literature, including Morse, Vinet, Born-Meyer (BM) and Baonza equations of state. The four equations have been applied to fit the experimental compression data of 50 materials. The optimized values of bulk modulus and its first-order pressure derivative at zero-pressure have been determined, and the average errors are compared. The results show that for all materials the Morse equation gives the best results with average error 0.557 6%, BM, Vinet and Baonza equations subsequently give inferior results with average errors 0.615 1%, 0.788 9% and 0.833 3%, respectively. For materials at wide pressure range, we recommend the Morse equation, but at middle and low pressure ranges, we recommend the Baonza equation as it can be expressed as both pressure analytic form and volume analytic form.

     

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