Physics
Scientific paper
Apr 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pepi...54..364p&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 54, Issue 3-4, p. 364-369.
Physics
21
Scientific paper
A linear relationship is empirically established between the actual melting temperature of 15 fluorides and oxides with perovskite structure and the quantity MV2/3ΘD2, where M, V and ΘD are respectively the mean atomic mass, the molar volume and the Debye temperature. This quantity is proportional to the melting temperature derived by Lindemann law. The Debye temperature has been consistently calculated from the measured elastic moduli of the perovskites. Using the correlation and the elastic constants of the MgSiO3 perovskite recently measured by Yeganeh-Haeri et al., a fictive melting temperature of stable MgSiO3 at ambient pressure is estimated; with it and the equation of state determined by Knittle and Jeanloz, the differential Lindemann law is integrated to yield a melting curve in the stability field of perovskite. The melting temperature of MgSiO3 perovskite at the core-mantle boundary pressure is estimated to be ~5070 K.
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