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Materials Data on Ba4Na(RuO4)3 by Materials Project

Ba4NaRu3O12 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. All Na–O bond lengths are 2.27 Å. There are four 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 BaO12 cuboctahedra, faces with three equivalent NaO6 octahedra, and faces with five RuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.95–2.99 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 BaO12 cuboctahedra, a faceface with one NaO6 octahedra, and faces with seven RuO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–3.02 Å. In the third 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 RuO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.95–3.17 Å. In the fourth 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, a faceface with one NaO6 octahedra, and faces with six RuO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ba–O bond distances ranging from 2.93–2.95 Å. There are three inequivalent Ru5+ sites. In the first Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There is three shorter (1.99 Å) and three longer (2.00 Å) Ru–O bond length. In the second Ru5+ site, Ru5+ 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 (1.89 Å) and three longer (2.08 Å) Ru–O bond length. In the third Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent NaO6 octahedra, corners with three equivalent RuO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–3°. There is three shorter (1.89 Å) and three longer (2.08 Å) Ru–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, and one Ru5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ru5+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Ru5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Na1+, four Ba2+, and one Ru5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Nd(RuO4)3 by Materials Project

Ba4NdRu3O12 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six 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 2.87–3.36 Å. In the second Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.86–3.04 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with four BaO12 cuboctahedra, faces with three equivalent NdO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ba–O bond distances ranging from 2.85–3.36 Å. In the fourth 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 2.86–3.39 Å. In the fifth 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 2.83–3.39 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, a faceface with one BaO12 cuboctahedra, a faceface with one NdO6 octahedra, and faces with six RuO6 octahedra. The corner-sharing octahedra tilt angles range from 10–14°. There are a spread of Ba–O bond distances ranging from 2.89–3.29 Å. There are two inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded to six O2- atoms to form NdO6 octahedra that share corners with six RuO6 octahedra and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Nd–O bond distances ranging from 2.29–2.31 Å. In the second Nd3+ site, Nd3+ is bonded to six O2- atoms to form NdO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with six equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–6°. All Nd–O bond lengths are 2.30 Å. There are five inequivalent Ru+4.33+ sites. In the first Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with two RuO6 octahedra. There are four shorter (2.03 Å) and two longer (2.04 Å) Ru–O bond lengths. In the second Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent NdO6 octahedra, faces with four equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Ru–O bond distances ranging from 1.93–2.07 Å. In the third Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent NdO6 octahedra, faces with three equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are three shorter (1.94 Å) and three longer (2.07 Å) Ru–O bond lengths. In the fourth Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent NdO6 octahedra and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are three shorter (1.94 Å) and three longer (2.07 Å) Ru–O bond lengths. In the fifth Ru+4.33+ site, Ru+4.33+ is bonded to six O2- atoms to form face-sharing RuO6 octahedra. There are two shorter (2.03 Å) and four longer (2.04 Å) Ru–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nd3+, and one Ru+4.33+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Nd3+, and one Ru+4.33+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nd3+, and one Ru+4.33+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nd3+, and one Ru+4.33+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+, one Nd3+, and one Ru+4.33+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Nd3+, and one Ru+4.33+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+ and two Ru+4.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Pr(RuO4)3 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Lattice structure and dynamics of sparse molecular crystals: OsO4 and RuO4

This dataset contains input and output files from DFT simulations used to reproduce the electronic and phonon calculations of bulk and molecular OsO₄ and RuO₄. The files include data from initial electronic structure and phonon calculations performed using different functionals: PBE, PBEsol, and vdW-DF-optB86b. The computed phonon frequencies are compared with Raman crystal and gas-phase frequencies from existing literature, while the calculated phonon density of states (PhDOS) is compared with experimental PhDOS data.

36 MATERIALS SCIENCE↗

Materials Data on K2RuO4 by Materials Project

K2RuO4 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to six O2- atoms to form distorted KO6 octahedra that share corners with six equivalent RuO4 tetrahedra and edges with two equivalent KO6 octahedra. There are a spread of K–O bond distances ranging from 2.74–2.86 Å. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.36 Å. Ru6+ is bonded to four O2- atoms to form RuO4 tetrahedra that share corners with six equivalent KO6 octahedra. The corner-sharing octahedra tilt angles range from 19–67°. There are a spread of Ru–O bond distances ranging from 1.78–1.81 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four K1+ and one Ru6+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two K1+ and one Ru6+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to four K1+ and one Ru6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CsK5Ru2O9 by Materials Project

CsK5Ru2O9 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Cs1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Cs–O bond distances ranging from 2.95–3.41 Å. There are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.19 Å. In the second K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.73–2.92 Å. In the third K1+ site, K1+ is bonded to six O2- atoms to form distorted KO6 octahedra that share corners with two equivalent RuO4 tetrahedra and corners with four equivalent RuO5 trigonal bipyramids. There are a spread of K–O bond distances ranging from 2.66–2.98 Å. There are two inequivalent Ru6+ sites. In the first Ru6+ site, Ru6+ is bonded to five O2- atoms to form RuO5 trigonal bipyramids that share corners with four equivalent KO6 octahedra. The corner-sharing octahedra tilt angles range from 8–43°. There are a spread of Ru–O bond distances ranging from 1.83–1.96 Å. In the second Ru6+ site, Ru6+ is bonded to four O2- atoms to form RuO4 tetrahedra that share corners with two equivalent KO6 octahedra. The corner-sharing octahedra tilt angles range from 21–68°. There is one shorter (1.79 Å) and three longer (1.82 Å) Ru–O bond length. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Cs1+, three K1+, and one Ru6+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five K1+ and one Ru6+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to five K1+ and one Ru6+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cs1+, two K1+, and one Ru6+ atom. In the fifth O2- site, O2- is bonded to five K1+ and one Ru6+ atom to form distorted OK5Ru octahedra that share corners with two equivalent OCsK4Ru octahedra, edges with two equivalent OK5Ru octahedra, and a faceface with one OCsK4Ru octahedra. The corner-sharing octahedral tilt angles are 46°. In the sixth O2- site, O2- is bonded to one Cs1+, four K1+, and one Ru6+ atom to form a mixture of distorted corner and face-sharing OCsK4Ru octahedra. The corner-sharing octahedral tilt angles are 46°. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Ru6+ atom.

36 MATERIALS SCIENCE↗