Universal Journal of Mechanical Engineering Vol. 8(1), pp. 59 - 65
DOI: 10.13189/ujme.2020.080108
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Equation of State and Thermo Dynamic Behaviour of C60 under High Pressure


Adnan M. Al-sheikh 1,*, Sirwan K. Jalal 2, Raed H. Al-Saqa 3
1 Department of Physics, University of Mosul, Iraq
2 Department of General Science, Charmo University, Iraq
3 Tatwaan Secondary School, Directorate General of Education, Province of Nineveh, Iraq

ABSTRACT

In the present study, four equations of state (EOSs) were used, namely Birch-Murnaghan, Dodson, Bardeen and modified Lenard Jones for evaluating relative compression volume Vp/Vo, isothermal bulk modulus B and spinodal pressure Psp for C60 under high pressure. Required constant parameters in the EOSs were taken from literature data. Starting from the definition of spinodal pressure, as the pressure at which bulk modulus of a material vanishes (i.e. B=0), A new approach for the evaluation of spinodal pressure have been established, in present work, by extrapolating variation of bulk modulus under high pressure data to the point where B=0, and formulate a new mathematical expression for spinodal pressure. With the aim of finding validity of these equations of state of applying on C60, the calculated results from the entire equations of state are compared with themselves and with other available experimental and theoretical published data. The results for Vp/Vo, B, and Psp are found to be in agreement with each other for whole pressure ranges. Some other theoretical and empirical data are brought in this study and give good agreements with our results. The new spinodal pressure approach and high pressure studies might represent a promising entrance to the formalism of universal equation of state for solids.

KEYWORDS
Equation of state (EOS), C60, High Pressure, Spinodal Pressure, Bulk Modulus, mL-J EOS

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Adnan M. Al-sheikh , Sirwan K. Jalal , Raed H. Al-Saqa , "Equation of State and Thermo Dynamic Behaviour of C60 under High Pressure," Universal Journal of Mechanical Engineering, Vol. 8, No. 1, pp. 59 - 65, 2020. DOI: 10.13189/ujme.2020.080108.

(b). APA Format:
Adnan M. Al-sheikh , Sirwan K. Jalal , Raed H. Al-Saqa (2020). Equation of State and Thermo Dynamic Behaviour of C60 under High Pressure. Universal Journal of Mechanical Engineering, 8(1), 59 - 65. DOI: 10.13189/ujme.2020.080108.