Skip to main content
SpringerLink
Log in

Equation of state and interaction potential of helium under high temperatures and high densities

  • Published:
Science in China Series G: Physics, Mechanics and Astronomy Aims and scope Submit manuscript

Abstract

Based on the thermodynamics statistic method, the improved variational perturbation theory and the modified quantum mechanics correction model have been used to calculate the equation of state of liquid helium at pressure from 0.7 to 108 GPa. The calculation results are in good agreement with the experimental data. The EXP-6 potential (α = 13.1) can more accurately describe the interaction of helium atoms than other potentials in the scheme. Finally, a comparison is shown between our interatomic potentials and other potentials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Loubeyre P, Hansen J P. Isotopic effect on the high pressure melting curves of helium and hydrogen. Phys Lett, 1980, A80(2): 181–184

    ADS  Google Scholar 

  2. Nellis W J, Holmes N C, Mitchell A C, et al. Shock compression of liquid helium to 56 GPa. Phys Rev Lett, 1984, 53(13): 1248–1251

    Article  ADS  Google Scholar 

  3. Young D A, Mcmahan A K, Ross M. Equation of state and melting curve of helium to very high pressure. Phys Rev B, 1981, 24(5): 5119–5127

    Article  ADS  Google Scholar 

  4. Ross M, Young D A. Helium at high density. Phys Rev Lett A, 1986, 118(9): 463–466

    ADS  Google Scholar 

  5. Meng C M, Jiao R Z, Shi S C, et al. Theoretical calculated shock-compression properties for liquid helium (in Chinese). Chin J High Pressure Phys, 2002, 16(1): 70–74

    Google Scholar 

  6. Mao H K, Hemley R J, Wu Y, et al. High-pressure phase diagram and equation of state helium from single-crystal X-ray diffraction to 23.3 GPa. Phys Rev Lett, 1988, 60(13): 2649–2652

    Article  ADS  Google Scholar 

  7. Vos W L E, van Hinsberg M G, Schouten J A. High-pressure triple point in helium: The melting line of helium up to 240 kbar. Phys Rev B, 1990, 42(10): 6106–6109

    Article  ADS  Google Scholar 

  8. Toullec R L, Loubeyre P, Pinceaux J P. Refractive-index measurements of dense helium up to 16 Gpa at t = 298 K: Analysis of its thermodynamic and electronic properties. Phys Rev B, 1989, 40(4): 2368–2378

    Article  ADS  Google Scholar 

  9. Ross M. A high-density fluid-perturbation theory based on an inverse 12th-power hard-sphere reference system. J Chem Phys, 1979, 71(4): 1567–1571

    Article  ADS  Google Scholar 

  10. Chirat R, Pittion-Rossillon G. A new equation of state for detonation products. J Chem Phys, 1981, 74: 4634–4645

    Article  ADS  Google Scholar 

  11. Fiorese G. A theoretical equation of state for molecular hydrogen. J Chem Phys, 1981, 75(3): 1431

    Article  Google Scholar 

  12. Jing F Q. Introduction to Equation of State of Matter Experimentally (in Chinese). 2nd ed. Beijing: Science Press, 1999

    Google Scholar 

  13. Younger S M, Harrison A K, Sugiyama G. Many-electron effects on transport processes in dens helium. Phys Rev A, 1989, 40(9): 5256–5272

    Article  ADS  Google Scholar 

  14. de Kuijper A, Vos W L, Barrat J L, et al. Freezing of simple system using density function theory. J Chem Phys, 1990, 93(7): 5187–5193

    Article  ADS  Google Scholar 

  15. Kujiper D E A, Smit B, Schouten J A, et al. Fluid-fluid phase separation in a repulsive-exp-6 mixture: A comparison with the full-exp-6 mixture by means of computer simulations. J Europhys Lett, 1990, 13(8): 679–683

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Taiyuan Normal University, Taiyuan, 030031, China

    JinWen Yang & YuanHong Yan

Authors
  1. JinWen Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. YuanHong Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to JinWen Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, J., Yan, Y. Equation of state and interaction potential of helium under high temperatures and high densities. Sci. China Ser. G-Phys. Mech. Astron. 52, 161–165 (2009). https://doi.org/10.1007/s11433-009-0019-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11433-009-0019-z

Keywords

Search

Navigation