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Pressure derivatives of bulk and shear modulus of rare gas solids
Institution:1. Département de Génie mécanique, Faculté de la Technologie, Université Amar Telidji de Laghouat, 03000, Laghouat, Algeria;2. Département des Sciences Techniques, Faculté de la Technologie, Université de Laghouat, 03000, Laghouat, Algeria;3. Laboratoire de Recherche : Caractérisation et Valorisation des Ressources Naturelles, Université de Bordj Bou Arreridj (34000), Algeria;4. Laboratoire de Génie des Procédés, Université Amar Telidji de Laghouat, B.P. 37G, Route de Ghardaïa, 03000, Laghouat, Algeria;5. Laboratory of Materials and Electronic Systems (LMSE), Faculty of Sciences and Technology, Mohamed Elbachir El Ibrahimi, Bordj Bou Arreridj University, Bordj Bou Arreridj (34000), Algeria
Abstract:Expressions for the isothermal bulk and shear modulus and also their first and second order pressure derivatives for rare gas solids are derived by a simple method considering the different interactions i.e. modified variable induce dipoles, short range overlap repulsion and the vibrational contribution. The derived relations for dKT/dP, dCS/dP, dC44/dP, d2KT/dP2, d2CS/dP2 and d2C44/dP2 are used to compute the numerical values of these constants at P=0 for Ne, Ar, Kr and Xe.
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