Elastic Constants of Pyrite

Simmons, Gene; Birch, Francis

doi:10.1063/1.1729801

Cited by 109 publications

(36 citation statements)

References 9 publications

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“…2). This is consistent with the results of all previous studies on this material (Blanchard et al, 2005;Le Page and Rodgers, 2005;Sithole et al, 2003;Merkel et al, 2002;Benbattouche et al, 1989;Ahrens and Jeanloz, 1987;Fujii et al, 1986;Chattopadhyay and von Schnering, 1985;Drickamer et al, 1967;Simmons and Birch, 1963;Prasad and Wooster, 1956;Bridgman, 1949). Depending on the pressure and interference from Pb fluorescence peaks arising from the extensive lead shielding in the experimental hutch, a total of 12-15 diffraction lines were used in the refinement to determine the unit-cell volume of FeS 2 , with a relative standard deviation less than 0.05%.…”

Section: Resultssupporting

confidence: 88%

“…Previous studies have characterized the many differences between samples and examined the thermal expansion of pyrite (Chrystall, 1965;Smith, 1942), and there have been several experimental and computational studies conducted at high pressure (both static and dynamic) to determine the Raman spectra, electronic structure, elasticity, and equation-of-state of pyrite (Blanchard et al, 2005;Le Page and Rodgers, 2005;Kleppe and Jephcoat, 2004;Sithole et al, 2003;Merkel et al, 2002;Ahrens and Jeanloz, 1987;Fujii et al, 1986;Chattopadhyay and von Schnering, 1985;Drickamer et al, 1967). In addition, studies have determined the single-crystal elastic constants of pyrite (Benbattouche et al, 1989;Simmons and Birch, 1963;Prasad and Wooster, 1956).…”

Section: Introductionmentioning

confidence: 99%

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Acoustic velocities and elastic properties of pyrite (FeS2) to 9.6 GPa

et al. 2010

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Ultrasonic interferometry was utilized in conjunction with synchrotron-based X-ray diffraction and X-radiographic imaging to determine the compressional and shear wave velocities and unit-cell volumes of pyrite (FeS 2 ) at room temperature and pressures up to 9.6 GPa. Fitting all of the experimental volume and velocity data to third-order finite-strain equations yielded the adiabatic zero-pressure bulk and shear moduli and their first pressure derivatives: K S0 =138.9(7) GPa, G 0 =112.3(3) GPa, (∂K S0 /∂P) T =K S0 '=6.0(1), (∂G 0 /∂P) T =G 0 '=3.0(<1), where the numbers in parentheses represent the 1σ uncertainty in the last significant digit. These results are in good agreement with several previous static compression studies on this material but differ quite strongly from the results obtained via first principles calculations. This study presents the first direct measurement of the bulk shear properties of this material. KEY WORDS: mineral physics, ultrasonic interferometry, high pressure, iron sulfide, elastic property, equation of state.

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Section: Resultssupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Acoustic velocities and elastic properties of pyrite (FeS2) to 9.6 GPa

et al. 2010

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“…The lower pressure value (28.9 GPa) is taken as an approximation to the transition pressure to an hpp of unknown structure. This is not likely to be a finite strength elastic shock, both because of its high amplitude and because the velocity measured, 7.00 km/s, is significantly lower than the 8.72 km/s observed by Simmons and Birch [ 1963] •S, varied from 1.0 to 2.5, and initial densities varied from 5.33 to 5.46 g/cm a. In the case of FeS2 the small data set precluded attempting to obtain separately a best fit for zero-pressure density and Grtineisen parameter; however, the latter was varied from 1.4 to 2.5.…”

Section: Experimental Results For Pyrrhotitementioning

confidence: 59%

Equations of state of iron sulfide and constraints on the sulfur content of the Earth

Ahrens¹

1979

J. Geophys. Res.

104

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•S, FeS•., and Fe when constrained to the seismologically obtained density-pressure profiles of the outer core of the earth indicate a systematic decrease of apparent sulfur content from 10 to 6.5% with depth. When the shock data are reduced to isotherms, a nearly constant sulfur content in the range 9-12% is inferred. Using these bounds on the sulfur content of the core, and depending on whether an olivine or pyroxene mantle stoichiometry is assumed, the earth can be modeled as being depleted in S by a factor ranging from 1.7 to 3.2 with respect to the abundances of Si and from 2.8 to 7.5 relative to the abundance of Fe, in CCI carbonaceous chondrites. It is concluded that although th,e shock wave data permit the major light element in the core to be sulfur, the earth can be modeled as being depleted in sulfur, along with other volatile elements. A systematic relation, Co(km/s) = 7.15 -0.4712, was also discovered upon comparison of the inferred densities and bulk sound speeds (Co) of the hpp's of the iron sulfides with other measurements for 12 sulfides and elemental sulfur. Here I? is the volume (in cubic centimeters) per mole of atoms.

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“…In laboratory studies, acoustic double refraction, or the arrival of two shear waves of different velocities, has previously been observed in single crystals (Simmons and Birch, 1963), in rocks with stress-induced anisotropy in crack distribution (Nur and Simmons, 1969a), and in rocks with anistropy in mineral orientation (Christensen and Ramananantoandro, 1971). In addition, Simmons (1964) and Tilman and Bennett (1972) report variations in shear velocity with orientation that exceed 10 per cent for several rocks, but they do not discuss the origin of the anistropy.…”

Section: Introductionmentioning

confidence: 94%

“…In their measurement of the elastic constants of the cubic crystal pyrite, Simmons and Birch (1963) Single crystal data can be used to illustrate the way in which seismic anisotropy in rocks can be studied. Consider wave propagation along the (110) direction of a cubic crystal.…”

Section: Single Crystalsmentioning

confidence: 99%

Acoustic double refraction in low-porosity rocks

1974

International Journal of Rock Mechanics and Mining Sciences &am

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Anisotropy in physical properties of rocks can arise from preferred mineral orientation, mineral layering, nonhydrostatic stress, and anisotropic crack distribution. For instance, all of the following cause acoustic double refraction: preferential orientation of olivine grains in dunites, alternating layers in laboratory-sizedsamples of such mineral pairs as olivine-feldspar, wollastonite-diopside, and garnetpyroxene, alternating layers of basalt flows and lunar breccias, anisotropy in crack distribution of most granites, and anistropy in crack distribution induced by uniaxial stress. We discuss, both experimentally and theoretically, shear-wave propagation in these rock types and indicate how the laboratory data may be applied to the interpretation of the anisotropy observed in the Earth's crust and upper mantle. We discuss the possibility of elastic anisotropy in the Moon.

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Elastic Constants of Pyrite

Cited by 109 publications

References 9 publications

Acoustic velocities and elastic properties of pyrite (FeS2) to 9.6 GPa

Acoustic velocities and elastic properties of pyrite (FeS2) to 9.6 GPa

Equations of state of iron sulfide and constraints on the sulfur content of the Earth

Acoustic double refraction in low-porosity rocks

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