Compton scattering of elemental silicon at high pressure

Tse, J. S.; Klug, D. D.; Jiang, Dawei; Sternemann, Christian; Volmer, M.; Huotari, Simo; Hiraoka, Nozomu; Honkimäki, V.; Hämäläinen, K.

doi:10.1063/1.2126125

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…The availability of intense synchrotron radiation sources, particularly the high brightness at very high energies (~50 keV), together with the development of high-resolution spectrometers, are opening up new classes of Compton scattering experiments on small samples at HP. The method has been applied to elemental solids such as Na, Li, and Si [313][314][315].…”

Section: Hp Compton Scatteringmentioning

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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Section: Hp Compton Scatteringmentioning

confidence: 99%

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

2016

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“…Further, in 1968 it was proposed that, metallic transformation of hydrogen may guide us to a room temperature superconductor [12]. In the last twenty years, the discovery of modern techniques, based on laser and shock-wave technology using a diamond anvil cell, has provided the required experimental framework to investigate molecules, clusters and solids under multi-megabar pressure [13]. This development has provided the necessary impetus to explore high pressure systems extensively.…”

Section: Introductionmentioning

confidence: 99%

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Mukherjee

Patra

Roy

2023

J. Phys. B: At. Mol. Opt. Phys.

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Since the beginning of twentieth century, conﬁnement of atom, molecule and plasma inside impenetrable sharp (hard) and smooth (soft) cavities has been studied with utmost interest. Physically, such situations introduce the trapping of a quantum system under high pressure. The internal pressure (Pn,ℓ) of the system under such multi-megabar external pressure has not yet been explored. Also, there is a lack of Hellmann-Feynman theorem (HFT) in such a scenario, which is essential to derive a concrete analytical expression of Pn,ℓunder stressed condition. Here using a scaling concept we provide a general HFT in terms of expectation values of total energy, potential and kinetic energy of a given conﬁned system. Change in boundary condition (from smooth to sharp and vice versa) does not aﬀect the this. Applying this proposed HFT, a closed-form expression of Pn,ℓ and d2d ER2 has been obtained for conﬁned and shell-conﬁned quantum systems. Based on this Pn,ℓ, several virial-like equations are also modelled. This HFT and Pn,ℓ are demonstrated for one and many-electron atoms, plasmas and molecules using both analytical and numerical methods. Its applicability in several other conﬁned systems has been discussed from simple arguments.

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“…Interestingly, it can explain the metal-insulator transition in La (2−2x) Sr (1+2x) Mn 2 O 7 [35]. However, in spite of such wide range of applications, CPs in confined quantum systems has been rarely investigated by using either experimental or theoretical methods (except a few works as in [36,37]), which we attempt to explore in this work.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Compton profile through information theory in H-like atoms inside impenetrable sphere

Mukherjee¹,

Roy²

2020

J. Phys. B: At. Mol. Opt. Phys.

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Confinement of atoms inside various cavities has been studied for nearly eight decades. However, the Compton profile for such systems has not yet been investigated. Here we construct the Compton profile (CP) for a H atom radially confined inside a hard spherical enclosure, as well as in free condition. Some exact analytical relations for the CP's of circular or nodeless states of free atom is presented. By means of a scaling idea, this has been further extended to the study of an H-like atom trapped inside an impenetrable cavity. The accuracy of these constructed CP has been confirmed by computing various momentum moments. Apart from that, several information theoretical measures, like Shannon entropy (S) and Onicescu energy (E) have been exploited to characterize these profiles. Exact closed form expressions are derived for S and E using the ground state CP in free H-like atoms. A detailed study reveals that, increase in confinement inhibits the rate of dissipation of kinetic energy. At a fixed ℓ, this rate diminishes with rise in n. However, at a certain n, this rate accelerates with progress in ℓ. A similar analysis on the respective free counterpart displays an exactly opposite trend as that in confined system. However, in both free and confined environments, CP generally gets broadened with rise in Z. Representative calculations are done numerically for low-lying states of the confined systems, taking two forms of position-space wave functions: (a) exact (b) highly accurate eigenfunctions through a generalized pseudospectral method. In essence, CPs are reported for confined H atom (and isoelectronic series) and investigated adopting an information-theoretic framework.

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Compton scattering of elemental silicon at high pressure

Cited by 11 publications

References 22 publications

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

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

Hellmann–Feynman theorem and internal pressure for atoms, molecules and plasmas under pressure

Analysis of Compton profile through information theory in H-like atoms inside impenetrable sphere

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