Analytic equation of state for solids with multi-exponential potential based on analytic mean field potential approach and applied to the epsilon phase of solid oxygen
Wang Li-Guo(王立国), Sun Jiu-Xun(孙久勋)†, and Yang Wei(杨维)
Department of Applied Physics, University of Electronic Science and Technology, Chengdu 610054, China
Abstract The thermodynamic properties of the $\varepsilon $ phase of solid oxygen are studied by using the analytic mean field approach (AMFP). Analytic expressions for the Helmholtz free energy, internal energy and equation of state of solid oxygen have been derived based on the multi-exponential potential. The formulism for the case of double-exponential (DE) model is applied to the $\varepsilon $ phase of solid oxygen. Its four potential parameters are determined through fitting the experimental compression data of the $\varepsilon $ phase of solid oxygen. Numerical results of the pressure dependence of the volume calculated by using the AMFP are in good agreement with the original experimental data. This suggests that the AMFP is a useful approach to study the thermodynamic properties of the $\varepsilon $ phase of solid oxygen. Furthermore, we predict the variation of the volume, lattice parameters and intermolecular distances with pressure, and some thermodynamic quantities versus volume, at several higher temperatures.
Received: 05 September 2007
Revised: 03 April 2008
Accepted manuscript online:
Fund: Project supported by the Joint
Foundation of National Natural Science Foundation of China and China
Academy of Engineering Physics (Grant No 10476007), by the Program
for New Century Excellent Talents in University (Grant No
NCET-05-0799), and the Program for Excellent Talents of University
of Electronic Science and Technology (Grant No 23601008).
Cite this article:
Wang Li-Guo(王立国), Sun Jiu-Xun(孙久勋), and Yang Wei(杨维) Analytic equation of state for solids with multi-exponential potential based on analytic mean field potential approach and applied to the epsilon phase of solid oxygen 2008 Chin. Phys. B 17 2867
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