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Assessment of Uranium Isotope Impacts

This report examines the benefits and challenges associated with recycling recovered uranium (RU) from the used nuclear fuel (UNF) discharged from a once-through sodium-cooled fast reactor (SFR) with high-assay low-enriched uranium (HALEU) which has a higher residual U-235 content in the RU. However, there are three minor uranium isotopes that influence the value of the RU. There will be trace quantities of U-232 in RU, which can increase dose rates and, in turn, increase the cost of fuel fabrication. Additionally, the U-234 and U-236 isotopes are found in higher concentration in RU than in NU, and act as neutron poisons, requiring higher U-235 concentrations to compensate for the neutron poisoning effects of these isotopes.

07 ISOTOPE AND RADIATION SOURCES↗

Tafel Slope Analyses for Homogeneous Catalytic Reactions

Tafel analysis of electrocatalysts is essential in their characterization. This paper analyzes the application of Tafel-like analysis to the four-electron nonelectrochemical oxidation of water by the stoichiometric homogeneous 1-electron oxidant [Ru(bpy)3]3+ to dioxygen catalyzed by homogeneous catalysts, [Ru4O4(OH)2(H2O)4(γ-SiW10O36)2]10− (Ru4POM) and [Co4(H2O)2(PW9O34)2]10– (Co4POM). These complexes have slow electron exchange rates with electrodes due to the Frumkin effect, which precludes the use of known electrochemical methods to obtain Tafel plots at ionic strengths lower than 0.5 M. The application of an electron transfer catalyst, [Ru(bpy)3]3+/2+, increases the rates between the Ru4POM and electrode, but a traditional Tafel analysis of such a complex system is precluded due to a lack of appropriate theoretical models for 4-electron processes. Here, we develop a theoretical framework and experimental procedures for a Tafel-like analysis of Ru4POM and Co4POM, using a stoichiometric molecular oxidant [Ru(bpy)3]3+. The dependence of turnover frequency (TOF) as a function of electrochemical solution potential created by the [Ru(bpy)3]3+/[Ru(bpy)3]2+ redox couple (an analog of the Tafel plot) was obtained from kinetics data and interpreted based on the suggested reaction mechanism.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Materials Data on B3Ru2 by Materials Project

Ru2B3 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Ru+4.50+ is bonded in a 7-coordinate geometry to seven B3- atoms. There are one shorter (2.19 Å) and six longer (2.20 Å) Ru–B bond lengths. There are two inequivalent B3- sites. In the first B3- site, B3- is bonded to six equivalent Ru+4.50+ atoms to form distorted edge-sharing BRu6 pentagonal pyramids. In the second B3- site, B3- is bonded in a 7-coordinate geometry to four equivalent Ru+4.50+ and three equivalent B3- atoms. All B–B bond lengths are 1.86 Å.

36 MATERIALS SCIENCE↗

Materials Data on Ba3PrRu2O9 by Materials Project

Ba3PrRu2O9 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.84–3.40 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, faces with two equivalent PrO6 octahedra, and faces with six equivalent RuO6 octahedra. There are six shorter (2.99 Å) and six longer (3.01 Å) Ba–O bond lengths. Pr3+ is bonded to six equivalent O2- atoms to form PrO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. All Pr–O bond lengths are 2.33 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent PrO6 octahedra, faces with three equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (1.95 Å) and three longer (2.07 Å) Ru–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Pr3+, and one Ru+4.50+ atom. In the second O2- site, O2- is bonded to four Ba2+ and two equivalent Ru+4.50+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 3–60°.

36 MATERIALS SCIENCE↗

Materials Data on Ba3YRu2O9 by Materials Project

Ba3YRu2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent YO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.91–3.13 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent YO6 octahedra, and faces with six equivalent RuO6 octahedra. All Ba–O bond lengths are 2.98 Å. Y3+ is bonded to six equivalent O2- atoms to form YO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Y–O bond lengths are 2.23 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent YO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.97 Å) and three longer (2.05 Å) Ru–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Ru+4.50+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ru+4.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sn7Ru3 by Materials Project

Ru3Sn7 crystallizes in the cubic Im-3m space group. The structure is three-dimensional. Ru is bonded in a 8-coordinate geometry to eight Sn atoms. There are four shorter (2.78 Å) and four longer (2.79 Å) Ru–Sn bond lengths. There are two inequivalent Sn sites. In the first Sn site, Sn is bonded in a 8-coordinate geometry to four equivalent Ru atoms. In the second Sn site, Sn is bonded in a 3-coordinate geometry to three equivalent Ru and four equivalent Sn atoms. There are one shorter (2.92 Å) and three longer (3.05 Å) Sn–Sn bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ba3InRu2O9 by Materials Project

Ba3InRu2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent InO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.95–3.01 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent InO6 octahedra, and faces with six equivalent RuO6 octahedra. All Ba–O bond lengths are 2.96 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.99 Å) and three longer (2.03 Å) Ru–O bond lengths. In3+ is bonded to six equivalent O2- atoms to form InO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All In–O bond lengths are 2.17 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ru+4.50+, and one In3+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ru+4.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on AlH18Ru(NF)6 by Materials Project

Ru(NH3)6AlF6 is Halite, Rock Salt structured and crystallizes in the cubic Pa-3 space group. The structure is zero-dimensional and consists of four AlF6 clusters and four Ru(NH3)6 clusters. In each AlF6 cluster, Al3+ is bonded in an octahedral geometry to six equivalent F1- atoms. All Al–F bond lengths are 1.84 Å. F1- is bonded in a single-bond geometry to one Al3+ atom. In each Ru(NH3)6 cluster, Ru3+ is bonded in an octahedral geometry to six equivalent N3- atoms. All Ru–N bond lengths are 2.12 Å. N3- is bonded in a distorted trigonal non-coplanar geometry to one Ru3+ and three H1+ atoms. All N–H bond lengths are 1.03 Å. There are three inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the second H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom. In the third H1+ site, H1+ is bonded in a single-bond geometry to one N3- atom.

36 MATERIALS SCIENCE↗

Materials Data on Th11(Ru2C3)6 by Materials Project

Th11Ru12C18 crystallizes in the cubic I-43m space group. The structure is three-dimensional and consists of two thorium molecules and one Th5(Ru2C3)3 framework. In the Th5(Ru2C3)3 framework, there are two inequivalent Th4+ sites. In the first Th4+ site, Th4+ is bonded to six equivalent C4- atoms to form distorted corner-sharing ThC6 pentagonal pyramids. There are three shorter (2.74 Å) and three longer (2.88 Å) Th–C bond lengths. In the second Th4+ site, Th4+ is bonded in a 8-coordinate geometry to eight C4- atoms. There are four shorter (2.63 Å) and four longer (2.80 Å) Th–C bond lengths. Ru+2.33+ is bonded in a trigonal non-coplanar geometry to three C4- atoms. There are two shorter (1.98 Å) and one longer (2.10 Å) Ru–C bond lengths. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded in a 7-coordinate geometry to four equivalent Th4+, two equivalent Ru+2.33+, and one C4- atom. The C–C bond length is 1.41 Å. In the second C4- site, C4- is bonded to four Th4+ and two equivalent Ru+2.33+ atoms to form a mixture of edge and corner-sharing CTh4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 6–68°.

36 MATERIALS SCIENCE↗

Materials Data on La3Ru3O11 by Materials Project

La3Ru3O11 crystallizes in the cubic Pn-3 space group. The structure is three-dimensional. there are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.92 Å. In the second La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.40 Å) and six longer (2.56 Å) La–O bond lengths. Ru+4.33+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing RuO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Ru–O bond distances ranging from 1.96–2.03 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to four La3+ atoms to form OLa4 tetrahedra that share a cornercorner with one OLa4 tetrahedra, corners with nine equivalent OLa2Ru2 trigonal pyramids, edges with three equivalent OLa4 tetrahedra, and edges with three equivalent OLa2Ru2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted water-like geometry to two equivalent La3+ and two equivalent Ru+4.33+ atoms. In the third O2- site, O2- is bonded to two La3+ and two equivalent Ru+4.33+ atoms to form distorted OLa2Ru2 trigonal pyramids that share corners with three equivalent OLa4 tetrahedra, corners with nine equivalent OLa2Ru2 trigonal pyramids, an edgeedge with one OLa4 tetrahedra, and edges with two equivalent OLa2Ru2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Bi3Ru3O11 by Materials Project

Bi3Ru3O11 crystallizes in the cubic Pn-3 space group. The structure is three-dimensional. Ru+4.33+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing RuO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ru–O bond distances ranging from 1.98–2.02 Å. There are two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.39 Å) and six longer (2.49 Å) Bi–O bond lengths. In the second Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.26–2.81 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to four Bi3+ atoms to form a mixture of corner and edge-sharing OBi4 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ru+4.33+ and two Bi3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ru+4.33+ and two equivalent Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Si3Ru4 by Materials Project

Ru4Si3 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are four inequivalent Ru3+ sites. In the first Ru3+ site, Ru3+ is bonded in a 5-coordinate geometry to five Si4- atoms. There are a spread of Ru–Si bond distances ranging from 2.43–2.79 Å. In the second Ru3+ site, Ru3+ is bonded in a 7-coordinate geometry to seven Si4- atoms. There are a spread of Ru–Si bond distances ranging from 2.52–2.66 Å. In the third Ru3+ site, Ru3+ is bonded in a distorted body-centered cubic geometry to eight Si4- atoms. There are a spread of Ru–Si bond distances ranging from 2.46–3.01 Å. In the fourth Ru3+ site, Ru3+ is bonded in a 6-coordinate geometry to six Si4- atoms. There are a spread of Ru–Si bond distances ranging from 2.41–2.85 Å. There are three inequivalent Si4- sites. In the first Si4- site, Si4- is bonded in a body-centered cubic geometry to eight Ru3+ atoms. In the second Si4- site, Si4- is bonded in a distorted body-centered cubic geometry to eight Ru3+ atoms. In the third Si4- site, Si4- is bonded in a 10-coordinate geometry to ten Ru3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La4Ru6O19 by Materials Project

La4Ru6O19 crystallizes in the cubic I23 space group. The structure is three-dimensional. La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.51–3.00 Å. Ru+4.33+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing RuO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ru–O bond distances ranging from 1.96–2.02 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two equivalent Ru+4.33+ atoms. In the second O2- site, O2- is bonded in a tetrahedral geometry to four equivalent La3+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two equivalent Ru+4.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3DyRu2O9 by Materials Project

Ba3DyRu2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent DyO6 octahedra, and faces with six equivalent RuO6 octahedra. All Ba–O bond lengths are 2.98 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent DyO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.91–3.12 Å. Dy3+ is bonded to six equivalent O2- atoms to form DyO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Dy–O bond lengths are 2.23 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent DyO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.97 Å) and three longer (2.05 Å) Ru–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ru+4.50+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Dy3+, and one Ru+4.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3ErRu2O9 by Materials Project

Ba3ErRu2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent ErO6 octahedra, and faces with six equivalent RuO6 octahedra. All Ba–O bond lengths are 2.97 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent ErO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.91–3.09 Å. Er3+ is bonded to six equivalent O2- atoms to form ErO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Er–O bond lengths are 2.21 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent ErO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.97 Å) and three longer (2.04 Å) Ru–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ru+4.50+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Er3+, and one Ru+4.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3YbRu2O9 by Materials Project

Ba3YbRu2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent YbO6 octahedra, and faces with six equivalent RuO6 octahedra. There are six shorter (2.96 Å) and six longer (2.98 Å) Ba–O bond lengths. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent YbO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.91–3.08 Å. Yb3+ is bonded to six equivalent O2- atoms to form YbO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Yb–O bond lengths are 2.25 Å. Ru+4.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent YbO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There is three shorter (1.93 Å) and three longer (2.06 Å) Ru–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two equivalent Ru+4.50+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Yb3+, and one Ru+4.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3LiRu2O9 by Materials Project

LiBa3Ru2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. All Li–O bond lengths are 2.15 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent LiO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ba–O bond distances ranging from 2.94–3.00 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent LiO6 octahedra, and faces with six equivalent RuO6 octahedra. There are six shorter (2.94 Å) and six longer (2.95 Å) Ba–O bond lengths. Ru+5.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent LiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There is three shorter (1.88 Å) and three longer (2.07 Å) Ru–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two equivalent Ru+5.50+ atoms to form a mixture of distorted corner and face-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3NaRu2O9 by Materials Project

Ba3Ru2NaO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Na1+ is bonded to six equivalent O2- atoms to form NaO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 5°. All Na–O bond lengths are 2.26 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent NaO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.98–3.13 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent NaO6 octahedra, and faces with six equivalent RuO6 octahedra. All Ba–O bond lengths are 2.98 Å. Ru+5.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NaO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There is three shorter (1.87 Å) and three longer (2.08 Å) Ru–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, and one Ru+5.50+ atom. In the second O2- site, O2- is bonded to four Ba2+ and two equivalent Ru+5.50+ atoms to form a mixture of distorted corner and face-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 7–60°.

36 MATERIALS SCIENCE↗