Abstract
A two-parameter high-pressure equation of state (EOS) is derived on the basis of the lattice potential theory using the concept of a short-range force constant as introduced by Born and Huang. The application of the EOS to some solids is presented and compared with the Birch–Murnaghan (BM) third-order EOS, the BM fourth-order EOS, and the Vinet EOS. A comparison of the results provides a crucial test for the EOSs used in this article.
Similar content being viewed by others
References
Anderson O.L.: Equation of State of Solids for Geophysics and Ceramic Science. Oxford University Press, Oxford (1995)
Boyer L.L.: Phys. Rev. B 23, 3673 (1981)
Khairallah S.A., Militzer B.: Phys. Rev. Lett. 101, 106407 (2008)
Robert G., Legrand P., Bernard S.: Phys. Rev. B 82, 104118 (2010)
Shanker J., Kushwah S.S., Sharma M.P.: Physica B 271, 158 (1999)
Ye P., Yan Z.T.: J. Anhui Norm. Univ. (Nat. Sci.) 26, 340 (2003)
Liu Q.: Can. J. Phys. 89, 709 (2011)
Born M., Huang K.: Dynamical Theory of Crystal Lattices. Oxford University Press, Oxford (1954)
Birch F.: J. Geophys. Res. 57, 227 (1952)
Vinet P., Smith J.R., Ferrante J., Rose J.H.: Phys. Rev. B 35, 1945 (1987)
Hama J., Suito K.: J. Phys. Condens. Matter 8, 67 (1996)
Tabor D.: Gases, Liquids and Solids. Cambridge University Press, New York (1979)
Parsafar G., Mason E.A.: Phys. Rev. B 49, 3049 (1994)
Kumari M., Dass N.: J. Phys. Condens. Matter 2, 3219 (1990)
Dodson B.W.: Phys. Rev. B 35, 2619 (1987)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Q., Niu, ZM. Analysis of High-Pressure Equation of State for Solids Based on the Lattice Potential Theory. Int J Thermophys 33, 2267–2273 (2012). https://doi.org/10.1007/s10765-012-1288-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10765-012-1288-8