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The Scientific World Journal
Volume 2014, Article ID 289353, 5 pages
Research Article

Analysis of Equation of States for the Suitability at High Pressure: MgO as an Example

1Department of Applied Science, B.T. Kumaon Institute of Technology, Dwarahat 263653, India
2Department of Applied Science, G.B. Pant Engineering College Ghurdauri, Pauri Garhwal 246194, India
3Department of Computer Science, B.T. Kumaon Institute of Technology, Dwarahat 263653, India

Received 31 August 2013; Accepted 22 October 2013; Published 16 January 2014

Academic Editors: V. Chaldyshev and L. Sheng

Copyright © 2014 Kuldeep Kholiya et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A simple theoretical model is developed to study the high pressure behavior of solids and is applied to evaluate the pressure for MgO in case of large compression along with Shanker, Tait, Vinet, and Birch-Murnaghan equation of states (EOSs). These EOSs are also tested for the basic requirements revealed from the fundamental thermodynamics for solids in the limit of extreme compressions, as given by Stacey. It is found that for the high pressure compression behavior of MgO the present model, Tait, Vinet, and Birch-Murnaghan EOSs give the results compatible with the experimental data. It has also been found that in the regime of ultrahigh pressure the present model and Birch-Murnaghan EOS satisfy the Stacey criterion.