Elastic anisotropy in textured hcp-iron to 112 GPa from sound wave propagation measurements

Antonangeli, Daniele; Occelli, F.; Requardt, H.; Badro, James; Fiquet, G.; Krisch, M.

doi:10.1016/j.epsl.2004.06.004

Cited by 121 publications

(109 citation statements)

References 37 publications

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“…IXS experiments on hcp-Fe have been conducted over the last 15 years at the European Synchrotron Radiation Facility (ESRF) (Fiquet et al, 2001;Antonangeli et al, 2004b;Antonangeli et al, 2012) and more recently at the Advanced Photon Source (APS) (Mao et al, 2012) and at Spring-8 (Ohtani et al, 2013). This gives us the opportunity to compare measurements performed over time with the same instrument with similar experimental strategies, as well as results obtained by the same technique at different synchrotrons, often involving dissimilar experimental strategies.…”

Section: Density Dependence Of the Compressional Sound Velocity In Hcmentioning

confidence: 99%

“…However, in the case of measurements on polycrystalline samples (as typically the case for experiments at very high pressures), the loss of directional information limits the measurements to the averaged phonon dispersions of the aggregate (Bosak et al, 2007). V P can be then obtained from a sine fit to the aggregate phonon dispersion and V S derived by combining the measured V P with results from an equation of state (density and adiabatic bulk modulus) (Antonangeli et al, 2004b), but data analysis and interpretation now depend on how well the data sample the linear part of the phonon dispersion and on the knowledge of sample texture (Bosak et al, 2007).…”

Section: Experimental Techniques For Sound Velocity Determination Undmentioning

confidence: 99%

“…On the contrary, V P derived from the phonon density of states measured by NRIXS up to 153 GPa (Mao et al, 2001) plots higher than shock wave determination (Brown and McQueen, 1986), indicating possible temperature effects, and extrapolates at core pressures to V P higher than PREM. Later NRIXS and IXS studies, with progressively improved beamline performance (flux, focusing optics), improved statistics and improved sample environment (hydrostaticity and/or texture characterization), focused on anisotropy (Antonangeli et al, 2004b;Lin et al, 2010), high-temperature effects (Lin et al, 2005;Kantor et al, 2007;Antonangeli et al, 2008;Antonangeli et al, 2012;Ohtani et al, 2013), or effect of nickel and/or light element inclusion (Lin et al, 2003;Badro et al, 2007;Kantor et al, 2007;Gao et al, 2008;Fiquet et al, 2009;Antonangeli et al, 2010;Shibazaki et al, 2012;Kamada et al, 2014). In view of the specific characteristics of the two techniques and of the respective data analysis, today's general consensus is that, for measurements on polycrystalline samples, IXS provides more reliable V P and NRIXS more reliable V S (the Debye velocity measured directly by NRIXS is more heavily weighted in the determination of V S , while V P determination is more dependent on the used equation of state; in comparison, IXS provides a direct determination of V P while V S depends on the choice of equation of state).…”

Section: Experimental Techniques For Sound Velocity Determination Undmentioning

confidence: 99%

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Sound velocity of hcp-Fe at high pressure: experimental constraints, extrapolations and comparison with seismic models

Antonangeli

Ohtani

2015

Prog. in Earth and Planet. Sci.

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Determining the sound velocity of iron under extreme thermodynamic conditions is essential for a proper interpretation of seismic observations of the Earth's core but is experimentally challenging. Here, we review techniques and methodologies used to measure sound velocities in metals at megabar pressures, with specific focus on the compressional sound velocity of hexagonal close-packed iron. A critical comparison of literature results, coherently analyzed using consistent metrology (pressure scale, equation of state), allows us to propose reference relations for the pressure and density dependence of the compressional velocity of hexagonal close-packed iron at ambient temperature. This provides a key base line upon which to add complexity, including high-temperature effects, pre-melting effects, effects of nickel and/or light element incorporation, necessary for an accurate comparison with seismic models, and ultimately to constrain Earth's inner core composition.

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Section: Density Dependence Of the Compressional Sound Velocity In Hcmentioning

confidence: 99%

Section: Experimental Techniques For Sound Velocity Determination Undmentioning

confidence: 99%

Section: Experimental Techniques For Sound Velocity Determination Undmentioning

confidence: 99%

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Sound velocity of hcp-Fe at high pressure: experimental constraints, extrapolations and comparison with seismic models

Antonangeli

Ohtani

2015

Prog. in Earth and Planet. Sci.

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“…Many different sets of experimental [81][82][83][84][85][86][87][88][89] and theoretical 24, 26, 28-30, 59, 90-94 elastic moduli at ambient or zero temperatures have been reported for ε-Fe. We present our calculated static moduli of nonmagnetic hcp Fe as a function of volume in Fig.…”

Section: Thermoelasticitymentioning

confidence: 99%

First-principles thermal equation of state and thermoelasticity of hcp Fe at high pressures

Sha

Cohen

2010

Phys. Rev. B

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We investigate the equation of state and elastic properties of hcp iron at high pressures and high temperatures using first principles linear response linear-muffin-tin-orbital method in the generalized-gradient approximation. We calculate the Helmholtz free energy as a function of volume, temperature, and volume-conserving strains, including the electronic excitation contributions from band structures and lattice vibrational contributions from quasi-harmonic lattice dynamics. We perform detailed investigations IntroductionIron is one of the most abundant elements in the Earth, and is fundamental to our world. The study of iron at high pressures and high temperatures is of great geophysical interest, since both the Earth's liquid outer core and solid inner core are composed mostly of this element. Although the crystal structure of iron at the extremely high temperature (4000 to 8000 K) and high pressure (330 to 360 GPa) conditions found in the inner core is still under intensive debate, 1-10 the hexagonal-close-packed phase (ε-Fe) is commonly believed to have a wide stability field extending from deep mantle to core conditions, and serves as a starting point for understanding the nature of the inner core. 11 Significant experimental and theoretical efforts have been recently devoted to investigate various properties of hcp iron at high pressures and high temperatures. New high-pressure diamond-anvil-cell techniques have been developed or significantly improved, which makes it possible to reach higher pressures and provide more valuable information on material properties in these extreme states. First-principles based theoretical techniques have been improved in reliability and accuracy, and have been widely used to predicate the high pressure-temperature behavior and provide fundamental understandings to the experiment.Despite intensive investigations, numerous fundamental problems remain unresolved, and many of the current results are mutually inconsistent. 11 The melting line at very high pressures has been one of the most difficult and controversial problems. 12-19Other major problems include possible subsolidus phase transitions 2,4,5,11,20 and the magnetic structure of the dense hexagonal iron. In section II we detail the theoretical methods to perform the first-principles calculations and obtain the thermal properties and elastic moduli. We present the results and related discussions about the thermal equation of state in section III, and about the thermoelasticity in section IV. We conclude with a brief summary in Section V. II. Theoretical methodsThe Helmholtz free energy F for many metals has three major contributionswith V as the volume, T as the temperature, and δ as the strain. E static is the zerotemperature energy of a static lattice, F el is the thermal free energy arising from electronic excitations, and F ph is the lattice vibrational energy contribution. We obtain both E static and F el from first-principles calculations directly, assuming that the eigenvalues for given lattice and nuclear pos...

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“…(Boehler, 1993;Shen et al, 1998;Dubrovinsky et al, 2007; Ta te n o e t a l. , 2 0 1 0 ) e t d ' ex périences de choc (Brown and McQueen, 1986;Nguyen and Holmes, 2004). Compressional velocity (V P )a saf u n c t i o no fd e n s i t yi ns o l i dF e( l e f t )a n dl i q u i dF e( r i g ht) measured experimentally using shock-wave techniques at high T (Browna n dM c Q u e e n ,1 9 8 6 )a n di n e l a s t i cX -r a ys c a t t e r i n g techniques at room T (Fiquet et al, 2001;Antonangeli et al,2004).PREMseismicprofilesareshownforcomparison (Dziewonski and Anderson, 1981). XàTambiante(Fiquetetal.,2001;Antonangelietal.,2004).Les profils sismiques du modèle PREM sont donnés pour comparaison (Dziewonski and Anderson, 1981).…”

Section: Discussionmentioning

confidence: 99%

High-pressure experimental geosciences: state of the art and prospects

Sanloup¹

2012

Bulletin De La Société Géologique De France

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International audienceThis paper aims at reviewing the current advancements of high pressure experimental geosciences. The an- gle chosen is that of in situ measurements at the high pressure (P) and high temperature (T) conditions relevant of the deep Earth and planets, measurements that are often carried out at large facilities (X-ray synchrotrons and neutron sources). Rather than giving an exhaustive catalogue, four main active areas of research are chosen: the latest advance- ments on deep Earth mineralogy, how to probe the properties of melts, how to probe Earth dynamics, and chemical reac- tivity induced by increased P-T conditions. For each area, techniques are briefly presented and selected examples illustrate their potentials, and what that tell us about the structure and dynamics of the planet

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Elastic anisotropy in textured hcp-iron to 112 GPa from sound wave propagation measurements

Cited by 121 publications

References 37 publications

Sound velocity of hcp-Fe at high pressure: experimental constraints, extrapolations and comparison with seismic models

Sound velocity of hcp-Fe at high pressure: experimental constraints, extrapolations and comparison with seismic models

First-principles thermal equation of state and thermoelasticity of hcp Fe at high pressures

High-pressure experimental geosciences: state of the art and prospects

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