Nuclear Inelastic X-Ray Scattering of FeO to 48 GPa

Struzhkin, Viktor V.; Mao, Ho‐kwang; Hu, Jingzhú; Schwoerer-Böhning, M.; Shu, Jinfu; Hemley, Russell J.; Sturhahn, W.; Hu, Michael Y.; Ercan, E.; Eng, Peter J.; Shen, Guoyin

doi:10.1103/physrevlett.87.255501

Cited by 75 publications

(63 citation statements)

References 28 publications

(37 reference statements)

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“…NRIXS signals originate from particular resonant nuclei only, and this complete isotope selec tivity is truly unique among techniques for the study of lattice vibrations. For example, materials surrounding the sample that do not contain resonant nuclei produce no unwanted background, and this feature now permits experiments under extreme pressuretemperature conditions that were impossible before (Lubbers et al, 2000a;Mao et al, 2001Mao et al, , 2004bStruzhkin et al, 2001;Lin et al, 2003Lin et al, , 2004aLin et al, , 2004bLin et al, , 2005bShen et al, 2004;Papandrew et al, 2004;Kobayashi et al, 2004;Zhao et al, 2004). Details on the scattering mechanisms and methodology for NRJXS and SMS have been published elsewhere Sturhahn, 2004).…”

Section: Experimental Methodsmentioning

confidence: 99%

“…The addition of light elements such as silicon, oxygen, sulfur, and hydrogen to iron also has significant effects on the shear proper ties (Machova and Kadeckova, 1977;Struzhkin et al, 2001;Lin et al, 2003Lin et al, ,2004aMao et al, 2004b;Jacobsen et al, 2004). Sev eral experiments have been performed to understand the crystal chemistry of these complex systems (Irifune, 1994;Kesson et al, 1995;Wood and Rubie, 1996;Hirose et al, 1999;Frost and Langenhorst, 2002), and they have shown that even though most of the iron in mantle materials is divalent (Fe2+), a significant amount of trivalent iron (Fe3+) was determined for aluminumbearing (Mg,Fe)SiO3-perovskite (McCammon, 1997).…”

Section: Introductionmentioning

confidence: 99%

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Geophysical applications of nuclear resonant spectroscopy

Sturhahn¹,

Jackson²

2007

Advances in High-Pressure Mineralogy

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We summarize recent developments of nuclear resonant spectroscopy methods, such as nuclear resonant inelastic X-ray scattering and synchrotron Mossbauer spec troscopy, and their uses for the geophysical sciences. The inelastic method provides specific vibrational information, for example, the phonon density of states, and, in combination with compression data, it permits the determination of sound velocities and Gruneisen parameters under high pressure and high temperature. The Moss bauer method provides hyperfine interactions between the resonant nucleus and elec tronic environment, such as isomer shifts, quadrupole splittings, and magnetic fields, which provide important information on valence, spin state, and magnetic ordering.Both methods use a nuclear resonant isotope as a probe and can be applied under high pressure and high temperature. The physical mechanism of nuclear resonant scattering and the specifics in applications to Earth materials are presented with ref erence to several high-pressure studies on iron-bearing compounds.

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Section: Experimental Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Geophysical applications of nuclear resonant spectroscopy

Sturhahn¹,

Jackson²

2007

Advances in High-Pressure Mineralogy

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“…From the low-energy region of each phonon DOS, Debye sound velocity can be derived. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 Phonon DOS has been determined for a number of iron compounds and alloys: FeO [519,520], FeS [521], Fe-Ni [522], Fe-Si alloys [287,522], FeH [523], Fe3S [524], Fe3C [525][526][527], Fe2O3 [528], (Mg,Fe)O [497], and (Mg,Fe)SiO3 enstatite [529]. For nanocrystalline Fe, large distortions were found in its phonon DOS [530], showing a lifetime broadening at high energies and an enhancement in its phonon DOS at energies below 15 meV.…”

Section: Phonon Density Of Statesmentioning

confidence: 99%

“…Examples of sound velocity determination using NRIXS include: Fe [63,297,517,518], FeO [519,520], FeS [521], Fe-Ni [522], Fe-Si alloys [287,522], FeH [523], Fe3S [524], Fe3C [525][526][527], Fe2O3 [528], and (Mg,Fe)O [497]. The Debye parabola is best constrained at the low-energy limit, and a resolution of better than 2 meV is 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 therefore essential in NRIXS for approaching that limit.…”

Section: Sound Velocitiesmentioning

confidence: 99%

High-pressure studies with x-rays using diamond anvil cells

2016

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Pressure profoundly alters all states of matter. The symbiotic development of ultrahighpressure diamond anvil cells, to compress samples to sustainable multi-megabar pressures; and synchrotron x-ray techniques, to probe materials' properties in situ, has enabled the exploration of rich high-pressure (HP) science. In this article, we first introduce the essential concept of diamond anvil cell technology, together with recent developments and its integration with other extreme environments. We then provide an overview of the latest developments in HP synchrotron techniques, their applications, and current problems, followed by a discussion of HP scientific studies using x-rays in the key multidisciplinary fields. These HP studies include: HP x-ray emission spectroscopy, which provides information on the filled electronic states of HP samples; HP x-ray Raman spectroscopy, which probes the HP chemical bonding changes of light elements; HP electronic inelastic x-ray scattering spectroscopy, which accesses high energy electronic phenomena, including electronic band structure, Fermi surface, excitons, plasmons, and their dispersions; HP resonant inelastic x-ray scattering spectroscopy, which probes shallow core excitations, multiplet structures, and spin-resolved electronic structure; HP nuclear resonant x-ray spectroscopy, which provides phonon densities of state and time-resolved Mössbauer information; HP x-ray imaging, which provides information on hierarchical structures, dynamic processes, and internal strains; HP x-ray diffraction, which determines the fundamental structures and densities of single-crystal, polycrystalline, nanocrystalline, and non-crystalline materials; and HP radial x-ray diffraction, which yields deviatoric, elastic and rheological information. Integrating these tools with hydrostatic or uniaxial pressure media, laser and resistive heating, and cryogenic cooling, has enabled investigations of the structural, vibrational, electronic, and magnetic properties of materials over a wide range of pressure-temperature conditions.

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“…This technique provides the phonon excitation spectrum as seen by the probe nuclei, 3,4,5 and in most cases one can extract the partial vibrational frequency distribution, a function often referred to as the partial phonon density of states (PDOS). The NRIXS method has been applied to various materials, e.g., thin films and multilayers, 6,7,8 nanoparticles, 9,10 crystals with impurities, 11 organic molecules, 12,13,14,15 proteins, 16,17 samples under high pressures, 18 and samples of geophysical interests. 19,20 Most of these samples are compounds, and, while the obtained PDOS gives only part of the lattice dynamics, the low-energy portion of the PDOS provides the Debye sound velocity of the whole sample.…”

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Measuring velocity of sound with nuclear resonant inelastic x-ray scattering

et al. 2003

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Nuclear resonant inelastic x-ray scattering is used to measure the projected partial phonon density of states of materials. A relationship is derived between the low-energy part of this frequency distribution function and the sound velocity of materials. Our derivation is valid for harmonic solids with Debye-like low-frequency dynamics. This method of sound velocity determination is applied to elemental, composite, and impurity samples which are representative of a wide variety of both crystalline and noncrystalline materials. Advantages and limitations of this method are elucidated.PACS numbers: 61.10. Eq, 62.65.+k Mechanical properties form an important part of our understanding of condensed matter. In many areas of science, measurements of sound velocity are used to study materials of both natural occurence and artificial fabrications. For example, in the field of geophysics, the sound velocity is the most direct information we have about the Earth's interior. The standard approach to learn about the composition and structure of the Earth's interior entails measurements of sound velocities of candidate compounds. The results are then compared to seismological data to exclude or confirm a particular compound. In the following, we will describe the use of nuclear resonant inelastic x-ray scattering (NRIXS) to measure the velocity of sound.The NRIXS method was introduced to probe the lattice dynamics of materials by employing low-energy nuclear resonances.1,2 In NRIXS experiments, only signals from nuclear resonance absorption are monitored, and for this reason the extracted quantity is specific to the resonant isotope. This technique provides the phonon excitation spectrum as seen by the probe nuclei, 3,4,5 and in most cases one can extract the partial vibrational frequency distribution, a function often referred to as the partial phonon density of states (PDOS). The NRIXS method has been applied to various materials, e.g., thin films and multilayers, 19,20 Most of these samples are compounds, and, while the obtained PDOS gives only part of the lattice dynamics, the low-energy portion of the PDOS provides the Debye sound velocity of the whole sample. We will now show that, due to universal features of acoustic modes of harmonic solids, the low-energy portion of the PDOS is related to the Debye sound velocity in a simple way.The normalized phonon density of states is defined bywhere the energy eigenstates of lattice vibrations E l are labeled by quantum number l, and N is the total number of atoms in the solid. In the harmonic lattice approximation, a PDOS, which is more relevant to NRIXS experiments, is given bywhere ν enumerates resonant nuclei,Ñ is the total number of resonant nuclei,k is a unit vector in the incident photon direction, and e ν l are phonon polarization vectors. Equation (2) shows that the vibrational polarizations are projected onto the incident photon direction and in particular the vibrational modes with polarization perpendicular to the direction of the incident photon do not contribute...

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Nuclear Inelastic X-Ray Scattering of FeO to 48 GPa

Cited by 75 publications

References 28 publications

Geophysical applications of nuclear resonant spectroscopy

Geophysical applications of nuclear resonant spectroscopy

High-pressure studies with x-rays using diamond anvil cells

Measuring velocity of sound with nuclear resonant inelastic x-ray scattering

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