X-Ray Diffraction Studies of the Lattice Parameters of Solids under Very High Pressure

Drickamer, H. G.; Lynch, R.W.; Clendenen, R.L.; Perez-Albueene, E.A.

doi:10.1016/s0081-1947(08)60529-9

Cited by 163 publications

(18 citation statements)

References 109 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%

“…where the thermal expansion coefficient α(300 K)=2.57×10 -5 K -1 (Skinner, 1966), the volume V is the V 0 measured in this experiment (159.01 Å 3 ), the Drickamer et al (1967); 7. Chattopadhyay and von Schnering (1985); 8.…”

Section: Resultsmentioning

confidence: 99%

“…Pyritic FeS 2 occurs in a cubic structure in space group Pa3 at room temperature and pressure (Merkel et al, 2002). 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: Resultsmentioning

confidence: 99%

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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“…The bulk modulus for oe-FeSi can be compared with bulk moduli measured for other FexSil. x alloys measured using static compression techniques [Drickamer et al, 1966;Silberman, 1967], shock-wave methods [Balchan and Cowan, 1966;Matassov, 1977;Marsh, 1980] and ultrasonics [Zinoveva et al, 1974;Machova et al, 1977]. This wide variety of results is plotted in Figure 2 as a function of silicon content.…”

Section: Resultsmentioning

confidence: 99%

“…conducted of Fe-Si alloys under shock and static conditions [Balchan and Cowan, 1966;Matassov, 1977;Marsh, 1980;Silberman, 1967;Drickamer et al, 1966], and Fe-Si alloys and compounds have also been examined ultrasonically [Zinoveva et al, 1974;Machova et al, 1977]. Unfortunately, few systematics have emerged from these various data sets.…”

Section: Introductionmentioning

confidence: 99%

Static compression of ε‐FeSi and an evaluation of reduced silicon as a deep Earth constituent

Knittle¹,

Williams²

1995

Geophysical Research Letters

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The volume of ε‐FeSi has been measured to pressures of 50 GPa. No high pressure transformations are observed in this system, including after laser‐heating at high pressures. The bulk modulus of this phase is 209 (±6) GPa, with a pressure derivative of 3.5 (±0.4). This high bulk modulus will slightly elevate the thermochemically‐inferred pressure conditions at which chemical reactions between iron and mantle silicates should commence at mid‐mantle depths. Moreover, because of the relatively low pressure derivatives of the bulk moduli of FeSi alloys manifested both in our data and in previous shock results, silicon as the sole light alloying component of the outer core is unlikely to produce a sufficiently large change in the bulk sound speed of the outer core relative to pure iron liquid. Therefore, silicon is not likely to be the primary alloying component in the outer core, unless its effect on the elasticity of the outer core is fortuitously offset by other light alloying constituents: its role is probably that of a subsidiary constituent. Thus, silicon is unique (to date) among proposed major outer core alloying constituents in being potentially precludable on purely geophysical grounds.

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Paartheorie für Alkalihalogenidkristalle

Kohlmaier

1970

Ber Bunsenges Phys Chem

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Mit Hilfe eines einfachen empirischen Paarpotentialansatzes ist es gelungen, die relative Stabilitait der NaCl-und CsC1-Struktur der Alkalihalogenidkristalle zu erklilren. Im Sinne der hier entwickelten Vorstellungen ist eine explizite Beriicksichtigung der Mehrk8rperwechselwirkungen nicht notwendig, weil diese infolge ihrer Kleinheit oder ihrer Strukturunempfindlichkeit vom effektiven Paarpotential absorbiert werden k8nnen. Als empirisch beste Form des Kohllsionspotentials ergab sich ein Ausdruck. der als ein Hybrid eines Born-Mayer-Potentials und eines generalisierten Morse-Potentials betrachtet werden kann. Entscheidend Nr die relative Stabilitiit ist eine Reduktion der Madelungschen Energie und eine entsprechende Kompensation durch einen kovalenten Term, die durch die Parameter zfff. die effektive Ionizitat, und a, die Reichweite der attraktiven nichtionischen Wechselwirkung, gesteuert wird. Es ist gelungen, mit einem einzigen Parameterpaar = 494, a = 1,2 die relative Stabilitfit aller Alkalihalogenide luckenlos zu bewhreiben.Using a simple empirical pair potential it was possible to explain the relative stability of the NaCl and CsCl structures of the alkali halide crystals. Following the presented development it is not nemsary to consider many body interactions explicitely since these may be absorbed by the pair potential as long as they are small or insensitive to structure. The best empirical fit to the cohesive potential was obtained with an expression which may beconsidered a hybrid ofthe Born-Mayer potential and ageneralized Morse potential. Thereduction ofthe Madelung energy and the corresponding compensation by a covalent term which are controlled by Zlff. the parameter for the effective ionicity, and a, the extension parameter of the non-ionic attractive interaction, are crucial for the relative stability. With the single parameter pair zfff = 0.94, a = 1.2 it was possible to describe the relative stability of all alkali halides. EinfrihrungMit Awnahme von CsCl, CsBr und CsI kristallisieren die Alkalihalogenide bei 1 atm-Druck und 300°K in der NaCloder Bl-Struktur. Bekanntlich ist in der Bl-Struktur jedes herausgegriffene Ion von 6 niichsten Nachbarn umgeben, wahrend bei der CsCl-oder B2-Struktur, in der die drei genannten Cs-Verbindungen kristallisieren, die Koordination 8 auftritt. Infolge der dichteren Packung der B2-Struktur erwartet man bei Druckerhbhung einen Obergang von B 1 nach B 2. Unter den bisherigen Versuchsbedingungen wurden diese Uberginge bei den K-und Rb-Halogeniden beobachtet, und m a r bei KCl, KBr und KI im Bereich von 20 kbar, und bei RbCl, RbBr und RbI im Bereich von 5 kbar. Die empirische Paartheorie von Born und M a y er [ 13 und Huggins [2] kann die relative Stabilitiit der Cs-Verbindungen nicht, und die Phasenubergiinge der K-und Rb-Halogenide nur qualitativ erkliiren, obwohl die Kohiisionsenergien dieser Verbindungen recht gut beschrieben werden. In einer theoretischen Abhandlung uber Ionenkristalle hat Lbw din [3] darauf hingewiesen, daD bestimmte Anteile des Kohiisionspo...

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X-Ray Diffraction Studies of the Lattice Parameters of Solids under Very High Pressure

Cited by 163 publications

References 109 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

Static compression of ε‐FeSi and an evaluation of reduced silicon as a deep Earth constituent

Paartheorie für Alkalihalogenidkristalle

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