An absolute measurement of the lattice parameter of germanium using multiple-beam X-ray diffractometry

Baker, Jeff; Hart, Michael

doi:10.1107/s0567739475000769

Cited by 91 publications

(24 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Spinpolarization was not energetically favourable in this structure which agrees with the Pauli paramagnetic character measured [5]. This can be rationalized by the (2) 3.8338 (2) 3.8286 (2) 3.8248(2) c (Å ) 13.6083 (7) 13.5602 (7) 13.5532 (6) quite small anti-bonding Ni-Ni interactions at the Fermi level.…”

Section: Tlni 2 Sesupporting

confidence: 78%

“…All the samples were characterised by X-ray diffraction using a Guinier-Ha¨gg camera (CuKa 1 ) and germanium ða ¼ 5:6570805ÅÞ [13] or silicon ða ¼ 5:431028ÅÞ [14] as internal standard. The powders were also studied with neutron diffraction at Studsvik, Sweden (NPD, l ¼ 1:471Å) in the temperature range 10-300 K. The refinements of the diffraction data were made with the Rietveld method using the FullProf program [15].…”

Section: Diffractionmentioning

confidence: 99%

See 1 more Smart Citation

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Ronneteg

Lumey

Dronskowski

et al. 2006

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

Section: Tlni 2 Sesupporting

confidence: 78%

Section: Diffractionmentioning

confidence: 99%

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Ronneteg

Lumey

Dronskowski

et al. 2006

Journal of Magnetism and Magnetic Materials

View full text Add to dashboard Cite

“…The optimized lattice constant is 0.5776 nm, close to the experimental value of 0.5658 nm [36]. Along the [111] direction, 9 bilayers are used to build the slab, with 1.473 nm of vacuum.…”

Section: Surface Energy Of Ge(111) the Configuration Of The Valence mentioning

confidence: 99%

Structure of the clean Gd₅Ge₄(010) surface

Yuen¹,

Miller²,

Lei³

et al. 2013

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We have characterized the (010) surface of Gd5Ge4 using scanning tunneling microscopy (STM) and x-ray photoelectron spectroscopy. Data from different samples have the following features in common: (1) the surface composition equals the bulk composition to within 5 at.%, both after ion etching and after annealing at temperatures of 400-1200 K; and (2) the surface exhibits terraces of two types. The height of the steps between similar terraces corresponds well to the separation between equivalent layers along the h010i direction in the bulk structure. Density functional theory (DFT) shows that the surface energy of the (0001) plane of hexagonal close-packed Gd is lower than that of the (111) plane of diamond-type Ge, suggesting that surfaces of Gd5Ge4 (for comparable density) should be rich in Gd. Indeed, DFT shows that among the bulk terminations of Gd5Ge4, a pure Ge termination is not favored. Each of the three remaining terminations (two pure Gd and one mixed, Gd-Ge) has its minimum surface energy in a different range of the possible Gd chemical potentials, indicating that different terminations may be stable under different conditions. DFT shows that the heights of the steps between dissimilar terraces, measured in STM, are consistent with the two pure Gd terminations. Abstract.We have characterized the (010) surface of Gd5Ge4 using scanning tunneling microscopy (STM) and X-ray photoelectron spectroscopy. Data from different samples have the following features in common: (1) Surface composition equals bulk composition to within 5 atomic %, both after ion etching and after annealing at temperatures of 400 K to 1200 K; and (2) The surface exhibits two types of terraces.Step heights between similar terraces correspond well to the separation between equivalent layers along the <010> direction in the bulk structure. Density functional theory (DFT) shows that the surface energy of the (0001) plane of hcp Gd is lower than that of the (111) plane of diamond-type Ge, suggesting that surfaces of Gd5Ge4 (for comparable density) should be Gd-rich. Indeed, among the bulk terminations of Gd5Ge4, DFT shows that a pure Ge termination is not favored. The three remaining terminations (two pure Gd and one mixed DFT shows that step heights between dissimilar terraces, measured in STM, are consistent with the two pure Gd terminations.

show abstract

“…(16). The lattice parameters for silicon and germanium at 22.5 C are a Si ¼ 5.4310 Å (Mohr et al, 2012) and a Ge ¼ 5.6578 Å (Baker and Hart, 1975), respectively. For the atomic form factor calculations, the fits of Waasmaier and Kirfel (1995) have been applied.…”

Section: -mentioning

confidence: 99%

Theoretical analysis of the background intensity distribution in X-ray Birefringence Imaging using synchrotron bending-magnet radiation

Sutter

Dolbnya

Collins

et al. 2015

Journal of Applied Physics

View full text Add to dashboard Cite

In the recently developed technique of X-ray Birefringence Imaging, molecular orientational order in anisotropic materials is studied by exploiting the birefringence of linearly polarized X-rays with energy close to an absorption edge of an element in the material. In the experimental setup, a vertically deflecting high-resolution double-crystal monochromator is used upstream from the sample to select the appropriate photon energy, and a horizontally deflecting X-ray polarization analyzer, consisting of a perfect single crystal with a Bragg reflection at Bragg angle of approximately 45 , is placed downstream from the sample to measure the resulting rotation of the X-ray polarization. However, if the experiment is performed on a synchrotron bending-magnet beamline, then the elliptical polarization of the X-rays out of the electron orbit plane affects the shape of the output beam. Also, because the monochromator introduces a correlation between vertical position and photon energy to the X-ray beam, the polarization analyzer does not select the entire beam, but instead selects a diagonal stripe, the slope of which depends on the Bragg angles of the monochromator and the polarization analyzer. In the present work, the final background intensity distribution is calculated analytically because the phase space sampling methods normally used in ray traces are too inefficient for this setup. X-ray Birefringence Imaging data measured at the Diamond Light Source beamline B16 agree well with the theory developed here.

show abstract

An absolute measurement of the lattice parameter of germanium using multiple-beam X-ray diffractometry

Cited by 91 publications

References 6 publications

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Structure of the clean Gd₅Ge₄(010) surface

Theoretical analysis of the background intensity distribution in X-ray Birefringence Imaging using synchrotron bending-magnet radiation

Contact Info

Product

Resources

About

An absolute measurement of the lattice parameter of germanium using multiple-beam X-ray diffractometry

Cited by 91 publications

References 6 publications

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Changes of the magnetic interactions in TlCo2Se2 upon metal substitution

Structure of the clean Gd5Ge4(010) surface

Theoretical analysis of the background intensity distribution in X-ray Birefringence Imaging using synchrotron bending-magnet radiation

Contact Info

Product

Resources

About

Structure of the clean Gd₅Ge₄(010) surface