The elastic properties of single-crystal fayalite as determined by dynamical measurement techniques

Isaak, Donald G.; Graham, E. K.; Bass, Jay D.; Wang, Hong

doi:10.1007/bf00998337

Cited by 38 publications

(47 citation statements)

References 34 publications

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“…Figure 4 shows that sound wave velocities of Graham et al (1988) and Isaak et al (1993) are well represented by models G and I, respectively. Figure 4 also indicates that the transverse sound wave velocities given by Graham et al (1988) are not significantly different from that reported by Isaak et al (1993). The difference is significant for the longitudinal sound wave velocity.…”

Section: Discussionmentioning

confidence: 93%

“…We used our method described by de Jong (2005a, 2007) as an inversion technique to conduct analyses of thermodynamic, vibrational and sound velocity data aiming at a consistent description of these properties. Because the adiabatic bulk modulus of fayalite measured by Graham et al (1988) and those by Isaak et al (1993) deviate from each other by about 10 GPa, we performed two analyses directing the optimization to either of these two datasets. Table 1 shows the result of two analyses obtained by a least-squares optimization process.…”

Section: Resultsmentioning

confidence: 99%

“…Isaak et al (1993) performed a detailed analysis of the source for this discrepancy in the acoustic measurements. Their recommended values are based on their own new measurements and those of Sumino (1979), Graham et al (1988) and Wang et al (1989).…”

Section: Discussionmentioning

confidence: 99%

“…Because of the much larger uncertainty in the bulk modulus of fayalite vis a vis forsterite, about 1 GPa, we performed two analyses. In analysis G we directed the optimization towards the data of Graham et al (1988) and in analysis I we directed it towards the recommended data of Isaak et al (1993). Here we investigate the effect of these analyses on the thermophysical properties of fayalite.…”

Section: Discussionmentioning

confidence: 99%

“…2 Calculated adiabatic bulk modulus at 1 bar pressure using model G and model I. Experimental ultrasonic data are from Sumino (1979), star with points above 673 K extrapolated, Graham et al (1988), square with extrapolated dashed line, Isaak et al (1993), circle. Ultrasonic data at room conditions are from Akimoto (1972), diamond, Wang et al (1989), asterisk.…”

Section: Discussionmentioning

confidence: 99%

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Thermodynamic mixing properties of olivine derived from lattice vibrations

Jong

2009

Phys Chem Minerals

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We use a lattice vibrational technique to derive thermophysical and thermochemical properties of fayalite, Fe 2 SiO 4 . This semi-empirical technique is based on an extension of Kieffer's model to incorporate details of the phonon spectrum. It includes treatment of intrinsic anharmonicity and electronic effects based on crystal field theory. We extend it to predict thermodynamic mixing properties of olivine (Mg,Fe) 2 SiO 4 solid solutions by using results of our previous work on the system MgO-SiO 2 . Achieving this requires a relation between phonon frequency and composition and a composition relation for the energy of the static lattice. Directed by experimental Raman spectroscopic data for specific optic modes in magnesium-iron solid solutions of olivine and pyroxene we use an empirical relation for the composition dependence for phonon frequencies. We show that lattice vibrations have a large effect on the excess entropy and that the static lattice contribution and lattice vibrations have a large impact on excess enthalpy and excess Gibbs energy. Our model indicates that compositional effects in electronic and magnetic properties are negligible. The compositional variation the Néel temperature has a large impact on excess heat capacity for temperatures below 100 K.

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Section: Discussionmentioning

confidence: 93%

Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Thermodynamic mixing properties of olivine derived from lattice vibrations

Jong

2009

Phys Chem Minerals

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Exotic crust formation on Mercury: Consequences of a shallow, FeO‐poor mantle

2015

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The range in density and compressibility of Mercurian melt compositions was determined to better understand the products of a possible Mercurian magma ocean and subsequent volcanism. Our experiments indicate that the only mineral to remain buoyant with respect to melts of the Mercurian mantle is graphite; consequently, it is the only candidate mineral to have composed a primary floatation crust during a global magma ocean. This exotic result is further supported by Mercury's volatile-rich nature and inexplicably darkened surface. Additionally, our experiments illustrate that partial melts of the Mercurian mantle that compose the secondary crust were buoyant over the entire mantle depth and could have come from as deep as the core-mantle boundary. Furthermore, Mercury could have erupted higher percentages of its partial melts compared to other terrestrial planets because magmas would not have stalled during ascent due to gravitational forces. These findings stem from the FeO-poor composition and shallow depth of Mercury's mantle, which has resulted in both low-melt density and a very limited range in melt density responsible for Mercury's primary and secondary crusts. The enigmatically darkened, yet low-FeO surface, which is observed today, can be explained by secondary volcanism and impact processes that have since mixed the primary and secondary crustal materials.

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Sound velocities of olivine at high pressures and temperatures and the composition of Earth's upper mantle

Zhang

Bass

2016

Geophysical Research Letters

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We present the elastic properties of San Carlos olivine up to P = 12.8(8) GPa and T = 1300(200) K using Brillouin spectroscopy with CO2 laser heating. A comparison of our results with the global seismic model AK135 yields average olivine content near 410 km depth of about 37% and 43% in a dry and wet (1.9 wt % H2O) upper mantle, respectively. These olivine contents are far less than in the pyrolite model. However, comparisons of our results with regional seismic models lead to very different conclusions. High olivine contents of up to 87% are implied by seismic models of the western U.S. and eastern Pacific regions. In contrast, we infer less than 35% olivine under the central Pacific. Strong variations of olivine content and upper mantle lithologies near the 410 km discontinuity are suggested by regional seismic models.

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The elastic properties of single-crystal fayalite as determined by dynamical measurement techniques

Cited by 38 publications

References 34 publications

Thermodynamic mixing properties of olivine derived from lattice vibrations

Thermodynamic mixing properties of olivine derived from lattice vibrations

Exotic crust formation on Mercury: Consequences of a shallow, FeO‐poor mantle

Sound velocities of olivine at high pressures and temperatures and the composition of Earth's upper mantle

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