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Hard x-ray methods for studying the structure of amorphous thin films and bulk glassy oxides

High-energy photon diffraction minimizes many of the corrections associated with laboratory x-ray diffractometers, and enables structure factor measurements to be made over a wide range of momentum transfers. The method edges us closer toward an ideal experiment, in which coordination numbers can be extracted without knowledge of the sample density. Three case studies are presented that demonstrate new hard x-ray methods for studying the structure of glassy and amorphous materials. First, the methodology and analysis of high-energy grazing incidence on thin films is discussed for the case of amorphous In 2 O 3 . Additionally, the connectivity of irregular InO 6 polyhedra are shown to exist in face-, edge- and corner-shared configurations in the approximate ratio of 1:2:3. Secondly, the technique of high-energy small and wide angle scattering has been carried out on laser heated and aerodynamically levitated samples of silica-rich barium silicate (20BaO:80SiO 2 ), from the single phase melt at 1500 C-o to the phase separated glass at room temperature. Based on Ba-O coordination numbers of 6 to 7, it is argued that the although the potential of Ba is ionic, it is weak enough to cause the liquid-liquid immiscibility to become metastable. Lastly, high-energy small and wide angle scattering has also been applied to high water content (up to 12 wt.%) samples of hydrous SiO 2 glass quenched from 1500 C-o at 4 GPa. An increase of Si 1 O 2 correlations at 4.3 angstrom is found to be consistent with an increase in the population of three-membered SiO 4 rings at the expense of larger rings.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Disentangling the role of bond lengths and orbital symmetries in controlling $T_c$ of optimally doped YBa 2 Cu 3 O 7

Optimally doped YBa 2 Cu 3 O 7 (YBCO) has a high critical temperature, at 92 K. It is largely believed that Cooper pairs form in YBCO and other cuprates because of spin fluctuations, but the issue and the detailed mechanism are far from settled. In the present work, we employ a state-of-the-art first-principles ability to compute both the low- and high-energy spin fluctuations in optimally doped YBCO. We benchmark our results against recent inelastic neutron scattering and resonant inelastic x-ray scattering measurements. Further, we use strain as an external parameter to modulate the spin fluctuations and superconductivity. We disentangle the roles of barium-apical oxygen hybridization, interlayer coupling, and orbital symmetries by applying an idealized strain, and also a strain with a fully relaxed structure. We show that shortening the distance between Cu layers is conducive to enhanced Fermi surface nesting, which increases spin fluctuations and drives up $T_c$. However, when the structure is fully relaxed, electrons flow to the $d_{z^2}$ orbital as a consequence of a shortened Ba-O bond, which is detrimental for superconductivity.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Materials Data on BaO2 by Materials Project

BaO2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ba is bonded in a distorted q4 geometry to ten equivalent O atoms. There are two shorter (2.74 Å) and eight longer (2.83 Å) Ba–O bond lengths. O is bonded in a 6-coordinate geometry to five equivalent Ba and one O atom. The O–O bond length is 1.50 Å.

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO is Halite, Rock Salt structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ba2+ is bonded to six equivalent O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ba–O bond lengths are 2.81 Å. O2- is bonded to six equivalent Ba2+ atoms to form a mixture of edge and corner-sharing OBa6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO crystallizes in the tetragonal P4/nmm space group. The structure is two-dimensional and consists of one BaO sheet oriented in the (0, 0, 1) direction. Ba2+ is bonded to four equivalent O2- atoms to form a mixture of distorted edge and corner-sharing BaO4 trigonal pyramids. All Ba–O bond lengths are 2.61 Å. O2- is bonded to four equivalent Ba2+ atoms to form a mixture of distorted edge and corner-sharing OBa4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on BaO2 by Materials Project

BaO2 is hexagonal omega structure structured and crystallizes in the orthorhombic Cmmm space group. The structure is two-dimensional and consists of two BaO2 sheets oriented in the (0, 1, 0) direction. Ba is bonded to eight equivalent O atoms to form a mixture of edge and face-sharing BaO8 hexagonal bipyramids. All Ba–O bond lengths are 2.77 Å. O is bonded in a distorted pentagonal planar geometry to four equivalent Ba and one O atom. The O–O bond length is 1.52 Å.

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ba2+ is bonded to six equivalent O2- atoms to form a mixture of distorted corner and edge-sharing BaO6 pentagonal pyramids. All Ba–O bond lengths are 2.78 Å. O2- is bonded to six equivalent Ba2+ atoms to form a mixture of corner, edge, and face-sharing OBa6 octahedra. The corner-sharing octahedral tilt angles are 47°.

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO is Wurtzite structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Ba2+ is bonded to four equivalent O2- atoms to form corner-sharing BaO4 tetrahedra. All Ba–O bond lengths are 2.61 Å. O2- is bonded to four equivalent Ba2+ atoms to form corner-sharing OBa4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on BaO10 by Materials Project

BaO10 crystallizes in the tetragonal P4/mcc space group. The structure is one-dimensional and consists of two hydrogen peroxide molecules and one BaO8 ribbon oriented in the (0, 0, 1) direction. In the BaO8 ribbon, Ba is bonded in a 8-coordinate geometry to eight equivalent O atoms. All Ba–O bond lengths are 2.82 Å. O is bonded in a bent 120 degrees geometry to one Ba and one O atom. The O–O bond length is 1.27 Å.

36 MATERIALS SCIENCE↗