Phase relationships and equations of state for FeS at high pressures and temperatures and implications for the internal structure of Mars

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Scientific paper

In situ X-ray diffraction experiments on FeS up to 22GPa and 1600K were carried out using large volume multianvil apparatus, combined with synchrotron radiation at SPring-8. We investigated phase stability relationships of FeS and determined the straight phase boundaries between FeS III (monoclinic phase) and FeS IV (hexagonal phase) to be T(K)=20P (GPa)+170 and between FeS IV and FeS V (NiAs-type phase) to be T(K)=39.6P(GPa)+450. We also found anomalous behavior in the c/a ratio, thermal expansion, and isothermal compression of FeS V as well as FeS IV, in the pressure range 4-12GPa. These anomalies in FeS can be attributed to the spin-pairing transition of Fe, and divides FeS IV and FeS V into the high-spin low-pressure phase (LPP) and the possibly low-spin high-pressure phase (HPP). In order to investigate the internal structure of Mars, we evaluated the equations of state for FeS IV (HPP) and FeS V (HPP). A least square fit to the experimental data yielded K0T=62.5+/-0.9GPa at T=600K and (dK0/dT)P=-0.0208+/-0.0028GPa/K for FeS IV (HPP), and K0T=54.3+/-1.0GPa at T=1000K and (dK0/dT)P=-0.0117+/-0.0015GPa/K for FeS V (HPP) with fixed K'=4. Thermal expansion coefficients were α=7.16×10-5+6.08×10-8T for FeS IV (HPP) and α=10.42×10-5 for FeS V (HPP), respectively. Using these equations of state, we examined the internal structure of Mars that has a model mantle composition [Meteoritics 20 (1985) 367] and Fe-FeS core. Our models show that an Mg-silicate perovskite-rich lower mantle is stable only with the Fe-rich core having less than 20wt.% sulfur. The polar moment of inertia factor C derived from Mars Pathfinder data [Science 278 (1997) 1749] is consistent with any compositions between Fe and FeS for the Martian core, but it excludes the presence of a crust thicker than 100km.

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