Electron momentum density in Cu 0.9 Al 0.1

Samsel‐Czekała, M.; Kontrym‐Sznajd, G.; Döring, G.; Schülke, W.; Kwiatkowska, J.; Maniawski, F.; Kaprzyk, S.; Bansil, Arun

doi:10.1007/s003390201310

Cited by 11 publications

(15 citation statements)

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“…Thus, the number of lattice harmonics required in order to obtain an accurate description of the anisotropic function f(p) from equation 1is not too large. This is demonstrated below for the example of real electron momentum densities (p) in the disordered alloy Cu 0.9 Al 0.1 (Samsel-Czekała et al, 2003), probed via a Compton scattering experiment. In this experiment, the plane projections of (p) (density in the extended momentum space) are measured along the directions of the scattering vector parallel to the p z axis:…”

Section: Anisotropy Of Electron Momentum Densitiesmentioning

confidence: 93%

“…where J(p z ) denotes the Compton profile (CP). For Cu 0.9 Al 0.1 , nine high-resolution CPs were measured and the threedimensional densities (p) were reconstructed (Samsel-Czekała et al, 2003). The same procedure was also applied to theoretical CPs computed within the Korringa-Kohn-Rostoker coherent potential approximation (Bansil et al, 1999) for the same nine crystal orientations.…”

Section: Anisotropy Of Electron Momentum Densitiesmentioning

confidence: 99%

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Special directions in momentum space. I. Cubic symmetries

Kontrym‐Sznajd

Samsel‐Czekała

2011

J Appl Cryst

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Some new sets of special directions (SDs) in the Brillouin zone for cubic structures are presented. They allow for construction in the reciprocal space of anisotropic quantities, having À 1 symmetry, from knowledge of such quantities along a limited number of SDs. These SDs also define which spectra, measured, for example, in Compton scattering experiments, are the most efficient for reconstructing three-dimensional densities from their one-dimensional projections. The new SDs are compared with results obtained by other authors.

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Section: Anisotropy Of Electron Momentum Densitiesmentioning

confidence: 93%

Section: Anisotropy Of Electron Momentum Densitiesmentioning

confidence: 99%

Special directions in momentum space. I. Cubic symmetries

Kontrym‐Sznajd

Samsel‐Czekała

2011

J Appl Cryst

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“…Such a technique [33] up to now has been applied to reconstructing electron densities from the Compton scattering spectra in yttrium [34], Cu 0.1 Al 0.9 [35], and to the shape-memory alloy Ni 0.62 Al 0.38 [36].…”

Section: Gegenbauer and Jacobi Polynomialsmentioning

confidence: 99%

Transform Methods of Computerized Tomography in Studying Electronic Structure and Fermi Surfaces of Solids

Kontrym‐Sznajd

2008

Acta Phys. Pol. A

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We present mathematical methods of computerized tomography, based on an analytical inversion of the Radon transform either in terms of the Fourier transforms or series of orthogonal polynomials. These techniques, so-called transform methods, are discussed for reconstructing electronic densities from both line and plane projections measured either in the two-dimensional angular correlations of annihilation radiation or in onedimensional angular correlations of annihilation radiation and the Compton scattering experiments. This paper is devoted to review all of the papers where such techniques were applied for studying electronic momentum densities and the Fermi surface of solids by angular correlations of annihilation radiation and the Compton scattering experiments.

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“…It has become possible in recent years to map the full three-dimensional (3D) Fermi surface ͑FS͒ of wide classes of materials via high-resolution Compton scattering and positron annihilation (two-dimensional angular correlation or the 2D-ACAR) experiments. [1][2][3][4][5][6][7][8][9][10][11] Unlike traditional spectroscopic techniques which involve transport measurements, Compton and 2D-ACAR experiments do not require long electron mean free paths and are thus particularly well suited for investigating disordered alloys. Studies of some ordering phenomena in metallic disordered alloys and compounds, which are thought to be driven by geometry of the FS, have thus been reinvigorated.…”

Section: Introductionmentioning

confidence: 99%

“…[24][25][26][27] These results indicate that the increase of k F100 is slightly larger than that of k F110 when Al content increases, thus suggesting the possibility of flattening of the FS in the [110] direction. Samsel-Czekała et al 11 reported Compton scattering and Korringa-Kohn-Rostoker-coherent potential approximation (KKR-CPA) studies of Cu 0.9 Al 0.1 . They measured eight directional Compton profiles and employed a method which uses radon transformation to reconstruct the 3D momentum density.…”

Section: Introductionmentioning

confidence: 99%

Fermi surface of a disorderedCu−Al-alloy single crystal studied by high-resolution Compton scattering and electron diffraction

et al. 2004

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We have measured high resolution Compton scattering profiles for momentum transfer along a series of 28 independent directions from Cu 0.842 Al 0.158 disordered alloy single crystals with normals to the surfaces oriented along the [100], [110], and [111] directions. The experimental spectra are interpreted via parallel first-principles KKR-CPA (Korringa-Kohn-Rostoker coherent-potential approximation) computations of these directional profiles. The Fermi surface determined by inverting the Compton data is found to be in good agreement with the KKR-CPA predictions. An electron diffraction study of the present Cu 0.842 Al 0.158 sample is additionally undertaken to gain insight into short-range ordering effects. The scattering pattern displays not only the familiar diffuse scattering peaks, but also shows the presence of weak streaks interconnecting the four diffuse scattering spots around the (110) reciprocal lattice points. This study provides a comprehensive picture of the evolution of the shape of the Fermi surface of Cu with the addition of Al. Our results are consistent with the notion that Fermi surface nesting is an important factor in driving short-range ordering effects in disordered alloys.

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Electron momentum density in Cu 0.9 Al 0.1

Cited by 11 publications

References 0 publications

Special directions in momentum space. I. Cubic symmetries

Special directions in momentum space. I. Cubic symmetries

Transform Methods of Computerized Tomography in Studying Electronic Structure and Fermi Surfaces of Solids

Fermi surface of a disorderedCu−Al-alloy single crystal studied by high-resolution Compton scattering and electron diffraction

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