Abstract
A comparative study for temperature dependence of bulk modulus and an investigation for the evolution of this variation have been established, by using five different theoretical equations, according to their historical development. The theoretical results obtained in this work have been compared with experimental data. Pyrope garnet, Mg3Al2(SiO4)3, has been chosen as an example for solid materials.
Highlights
The behavior of minerals under the influence of high temperature, has attracted the attention of theoretical as well as experimental workers (Isaak et al.,1989; Anderson et al, 1992; Kumar, 1996)
The values of input parameters used in the theoretical equations are αo=2.36×10-5 K-1 (Anderson et al, 1992), Bo=169.4 GPa, δoT=6.27 (Anderson, 1995 ) and k=0.018 (Upadhyay et al, 2011)
The variation of bulk modulus with temperature is shown in Fig. (1) using five theoretical equations along with the experimental data for pyrope garnet
Summary
The behavior of minerals under the influence of high temperature, has attracted the attention of theoretical as well as experimental workers (Isaak et al.,1989; Anderson et al, 1992; Kumar, 1996). The knowledge of elasticity of the minerals is useful for interpreting the structure and composition of the lower mantle and in seismic studies (Upadhyay et al, 2011). Considerable efforts have been made to predict the equation of state of minerals under varying conditions of pressure using diamond- anvil cell. Fewer efforts have been made under the effect of temperature at room pressure.
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