Effect of hydrostatic pressure on the lattice parameters of Fe2SiO4 olivine up to 70 kbar

Yagi, T.; Ida, Yoshiaki; Sato, Yuta; Akimoto, Syun‐iti

doi:10.1016/0031-9201(75)90062-x

Cited by 93 publications

(24 citation statements)

References 10 publications

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“…In all, twenty-four data sets were obtained to define nine stiffness constants. Moreover, the bulk modulus result obtained in the present study is in excellent agreement with the independent static compression data of Yagi et al (1975), who obtained an isothermal value of KT= 124_+2GPa from hydrostatic pressure measurements up to 7 GPa. In a discussion of the utility and accuracy of the measurement of elastic constants using the RPR technique, Ohno (1976) has pointed out several experimental limitations.…”

Section: Comparison With Previous Studiessupporting

confidence: 89%

“…As a result, the bulk moduli (K) and dK/dP for forsterite and fayalite are very similar, but the rigidity modulus (#) and d#/dP for polycrystalline fayalite are much lower than their forsterite counterparts. The bulk compression properties derived from this study are very consistent with the static-compression x-ray results of Yagi et al (1975). The temperature dependence of the bulk modulus of fayalite is somewhat greater (in a negative sense) than that of forsterite.…”

supporting

confidence: 84%

“…Previous elasticity measurements include compressibility using a volumetric technique (Adams 1931), ultrasonic P-wave velocities along the three axial directions of an imperfect natural specimen (Suwa 1964;and Mizutani et al 1970), and ultrasonic measurements on hot-pressed synthetic polycrystalline materials (Mizutani et al 1970;Chung 1970;Akimoto 1972;and Resley 1979). Static compression measurements also have been carried out by Yagi et al (1975) to somewhat over 7 GPa, using x-ray diffraction in a cubic-anvil apparatus. More recently, however, several investigators have succeeded in growing synthetic single-crystal specimens of fayalite of sufficient size to carry out precise acoustic measurements of the elastic moduli (Takei 1978;and Finch et al 1980).…”

Section: Introductionmentioning

confidence: 99%

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The pressure and temperature dependence of the elastic properties of single-crystal fayalite Fe2SiO4

et al. 1988

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Abstract. The nine adiabatic elastic stiffness constants of synthetic single-crystal fayalite, FezSiO4, were measured as functions of pressure (range, 0 to 1.0 GPa) and temperature (range, 0 to 40 ~ C) using the pulse superposition ultrasonic method. Summary calculated results for a dense fayalite polycrystalline aggregate, based on the HS average of our single-crystal data, are as follows: Vp-6.67km/s; V~ = 3.39 km/s; K = 127.9 GPa; # = 50.3 GPa; (~K/SP)r = 5.2; (8 #/SP)r = 1.5;(~ K/~ T)e = --0.030 GPa/K; and, (~#/8 T)p = -0.013 GPa/K (the pressure and temperature data are referred to 25~ and 1 atm, respectively). Accuracy of the single-crystal results was maintained by numerous cross and redundancy checks.Compared to the single-crystal elastic properties of forsterite, MgzSiO4, the fayalite stiffness constants, as well as their pressure derivatives, are lower for each of the on-diagonal (Cij for which i=j) values, and generally higher for the off-diagonal (Cij for which i*j) data. As a result, the bulk moduli (K) and dK/dP for forsterite and fayalite are very similar, but the rigidity modulus (#) and d#/dP for polycrystalline fayalite are much lower than their forsterite counterparts. The bulk compression properties derived from this study are very consistent with the static-compression x-ray results of Yagi et al. (1975). The temperature dependence of the bulk modulus of fayalite is somewhat greater (in a negative sense) than that of forsterite. The rigidity dependencies are almost equivalent. Over the temperature range relevant to this study, the elastic property results are generally consistent with the data of Sumino (1978), which were obtained using the RPR technique. However, some of the compressional modes are clearly discrepant. The elastic constants of fayalite appear to be less consistent with a theoretical HCP model (Leibfried 1955) than forsterite, reflecting the more covalent character of the Fe-O bonding in the former.

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Section: Comparison With Previous Studiessupporting

confidence: 89%

supporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

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The pressure and temperature dependence of the elastic properties of single-crystal fayalite Fe2SiO4

et al. 1988

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“…AGe sample was prepared in the ST-12 phase with cubic anvil apparatus (Yagi, Ida, Sato & Akimoto, 1975). After verifying the transition to the ~-Sn-type structure by X-ray diffraction, the pressure was released.…”

Section: Methodsmentioning

confidence: 99%

A phase-difference approach to EXAFS analysis of germanium polymorphs

Kawamura¹,

Shimomura²,

Fukamachi³

et al. 1981

Acta Cryst Sect A

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Two germanium polymorphs of the diamond type and the ST-12 structure were used to investigate the accuracy of extended X-ray absorption fine structure (EXAFS) analysis with a phase-difference method. This method gives similar accuracies to both conventional curve-fitting and Fourier-transform methods in determining the difference of the firstneighbor distances for these two polymorphs. The number of first-shell atoms of the ST-12 structure was determined to be 4.0 + 0.2 with the diamond-type phase as a standard. In addition, the first-neighbor coordination of amorphous germanium was analyzed with this method. These results suggest that the phasedifference method is useful for structure analysis of materials and that it is especially useful for structure analyses under high pressure.

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“…Ultrasonic data at room conditions are from Akimoto (1972), diamond, Wang et al (1989), asterisk. Results from static compression: Plymate and Stout (1990), triangle, Takahashi (1970), cross, Yagi et al (1975), plus Burns (1985) e g 9,270 5 M2 Burns (1985) anharmonicity, a j = a j,0 (V/V 0 ) m , in which a j,0 represents the anharmonicity parameter of a specific mode j at 0 K. That results in the same unsuccessful effect on the heat capacity. Presently, we are not able to resolve the discrepancy between our calculations and the experimental data of Orr (1953).…”

Section: Discussionmentioning

confidence: 96%

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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Effect of hydrostatic pressure on the lattice parameters of Fe2SiO4 olivine up to 70 kbar

Cited by 93 publications

References 10 publications

The pressure and temperature dependence of the elastic properties of single-crystal fayalite Fe2SiO4

The pressure and temperature dependence of the elastic properties of single-crystal fayalite Fe2SiO4

A phase-difference approach to EXAFS analysis of germanium polymorphs

Thermodynamic mixing properties of olivine derived from lattice vibrations

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