On the dependence of the coefficient of thermal expansion on density

Details On the dependence of the coefficient of thermal expansion on density On the dependence of the coefficient of thermal expansion on density

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998pepi..109...79z&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 109, Issue 1-2, p. 79-89.

Physics

4

Scientific paper

With the help of interpolated null isotherms P0(ρ), Gruneisen parameters γ(ρ) and thermodynamic formula for γ in the classical-temperature limit the coefficients of thermal expansion α(ρ) as functions of density are calculated for crystals of noble gases and the following oxides: MgO, SiO2(St), FeO, Fe2O3, Al2O3, CaO(hypothetical high pressure phase), and Fe(hcp), FeS(hypothetical high pressure phase). The functions α(ρ) are determined in the pressure range 1-15000 GPa. Once the thermal expansion coefficients for the oxides are known then the rule of volume additivity allows one to estimate the thermal expansion coefficients for the high pressure phases of complex silicates. As an example such an estimate was obtained for the MgSiO3(Pv). The peculiarity of the α(ρ) dependence for oxides and iron Fe(hcp) is that in the pressure range up to 1000-1500 GPa the α(ρ) function consists as though of two branches: one for P2KT0, each of which is a nearly linear function of density. The density dependence of α(ρ) is determined by the Anderson-Gruneisen coefficient δ(ρ), which is also the function of density. It turns out that the power law for δ(ρ) can approximate the density dependence of α(ρ) to a pressure of 1000 GPa.

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