Condensed Matter Physics, 2012, vol. 15, No. 1, 13602: 1-9
DOI:10.5488/CMP.15.13602           arXiv:1204.5821

Title: Generalized linear isotherm regularity equation of state applied to metals
Author(s):
  H. Sun (Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China) ,
  J.X. Sun (Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China) ,
  W.J. Yu (Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China) ,
  J. Tang (Department of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China)

A three-parameter equation of state (EOS) without physically incorrect oscillations is proposed based on the generalized Lennard-Jones (GLJ) potential and the approach in developing linear isotherm regularity (LIR) EOS of Parsafar and Mason [J. Phys. Chem., 1994, 49, 3049]. The proposed (GLIR) EOS can include the LIR EOS therein as a special case. The three-parameter GLIR, Parsafar and Mason (PM) [Phys. Rev. B, 1994, 49, 3049], Shanker, Singh and Kushwah (SSK) [Physica B, 1997, 229, 419], Parsafar, Spohr and Patey (PSP) [J. Phys. Chem. B, 2009, 113, 11980], and reformulated PM and SSK EOSs are applied to 30 metallic solids within wide pressure ranges. It is shown that the PM, PMR and PSP EOSs for most solids, and the SSK and SSKR EOSs for several solids, have physically incorrect turning points, and pressure becomes negative at high enough pressure. The GLIR EOS is capable not only of overcoming the problem existing in other five EOSs where the pressure becomes negative at high pressure, but also gives results superior to other EOSs.

Key words: three-parameter equation of state, metallic solids, high pressure, physically incorrect oscillation
PACS: 64.30.Ef, 64.10.+h, 05.70.Ce


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