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DOE OSTI2020

Materials Data on Na(WO3)2 by Materials Project

Na(WO3)2 crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Na1+ is bonded to twelve equivalent O2- atoms to form NaO12 cuboctahedra that share corners with twelve equivalent NaO12 cuboctahedra and faces with eight equivalent WO6 octahedra. All Na–O bond lengths are 2.76 Å. W+5.50+ is bonded to six equivalent O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All W–O bond lengths are 1.95 Å. O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.50+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na(WO3)2 by Materials Project

Na(WO3)2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, and faces with eight equivalent WO6 octahedra. There are eight shorter (2.64 Å) and four longer (2.94 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, and faces with eight equivalent WO6 octahedra. There are four shorter (2.58 Å) and eight longer (2.82 Å) Na–O bond lengths. W+5.50+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with four NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 8–11°. All W–O bond lengths are 1.96 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and two equivalent W+5.50+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two equivalent W+5.50+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na(WO3)2 by Materials Project

Na(WO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve equivalent NaO12 cuboctahedra and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.82 Å. There are two inequivalent W+5.50+ sites. In the first W+5.50+ site, W+5.50+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There is three shorter (1.95 Å) and three longer (1.96 Å) W–O bond length. In the second W+5.50+ site, W+5.50+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There is three shorter (1.95 Å) and three longer (1.96 Å) W–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.50+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on KNa(WO3)2 by Materials Project

KNa(WO3)2 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four equivalent KO12 cuboctahedra, and faces with eight equivalent WO6 octahedra. There are four shorter (2.83 Å) and eight longer (2.84 Å) K–O bond lengths. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight equivalent KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent WO6 octahedra. There are eight shorter (2.81 Å) and four longer (2.83 Å) Na–O bond lengths. W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra, faces with four equivalent KO12 cuboctahedra, and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is one shorter (1.98 Å) and five longer (2.00 Å) W–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent K1+, two equivalent Na1+, and two equivalent W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with twenty-two OK4W2 octahedra, edges with four equivalent OK2Na2W2 octahedra, and faces with eight OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the second O2- site, O2- is bonded to four equivalent K1+ and two equivalent W5+ atoms to form distorted OK4W2 octahedra that share corners with twenty-two OK4W2 octahedra, edges with four equivalent OK4W2 octahedra, and faces with eight equivalent OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the third O2- site, O2- is bonded to four equivalent Na1+ and two equivalent W5+ atoms to form distorted ONa4W2 octahedra that share corners with twenty-two OK4W2 octahedra, edges with four equivalent ONa4W2 octahedra, and faces with eight equivalent OK2Na2W2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na3(WO3)4 by Materials Project

Na3(WO3)4 crystallizes in the cubic Im-3m space group. The structure is three-dimensional. Na1+ is bonded to twelve equivalent O2- atoms to form NaO12 cuboctahedra that share corners with eight equivalent NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight equivalent WO6 octahedra. There are four shorter (2.75 Å) and eight longer (2.78 Å) Na–O bond lengths. W+5.25+ is bonded to six equivalent O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with six equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All W–O bond lengths are 1.97 Å. O2- is bonded to three equivalent Na1+ and two equivalent W+5.25+ atoms to form a mixture of distorted corner, edge, and face-sharing ONa3W2 square pyramids.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na4(WO3)5 by Materials Project

Na4(WO3)5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with four NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.83 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. There are three inequivalent W+5.20+ sites. In the first W+5.20+ site, W+5.20+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of W–O bond distances ranging from 1.87–2.01 Å. In the second W+5.20+ site, W+5.20+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of W–O bond distances ranging from 1.96–2.06 Å. In the third W+5.20+ site, W+5.20+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. There are four shorter (1.99 Å) and two longer (2.04 Å) W–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two equivalent W+5.20+ atoms to form distorted ONa4W2 octahedra that share corners with four equivalent ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with four ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 60°. In the second O2- site, O2- is bonded to three Na1+ and two W+5.20+ atoms to form distorted ONa3W2 square pyramids that share corners with six ONa4W2 octahedra, corners with thirteen ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with four ONa3W2 square pyramids, faces with three ONa4W2 octahedra, and a faceface with one ONa3W2 square pyramid. The corner-sharing octahedra tilt angles range from 2–62°. In the third O2- site, O2- is bonded to three Na1+ and two W+5.20+ atoms to form distorted ONa3W2 square pyramids that share corners with seven ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with four ONa3W2 square pyramids, a faceface with one ONa4W2 octahedra, and faces with three ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 0–61°. In the fourth O2- site, O2- is bonded to four Na1+ and two W+5.20+ atoms to form distorted ONa4W2 octahedra that share corners with six ONa4W2 octahedra, corners with fourteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with two equivalent ONa3W2 square pyramids, faces with two equivalent ONa4W2 octahedra, and faces with six ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–60°. In the fifth O2- site, O2- is bonded to three Na1+ and two W+5.20+ atoms to form distorted ONa3W2 square pyramids that share corners with four ONa4W2 octahedra, corners with thirteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four ONa3W2 square pyramids, faces with two equivalent ONa4W2 octahedra, and faces with two equivalent ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 2–62°. In the sixth O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.20+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na(WO3)3 by Materials Project

Na(WO3)3 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six equivalent NaO12 cuboctahedra and faces with eight WO6 octahedra. There are six shorter (2.74 Å) and six longer (2.75 Å) Na–O bond lengths. There are two inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to six equivalent O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All W–O bond lengths are 1.95 Å. In the second W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with three equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is three shorter (1.93 Å) and three longer (1.96 Å) W–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.67+ atoms. In the second O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.67+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na2(WO3)3 by Materials Project

Na2(WO3)3 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with nine equivalent NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.78 Å. There are two inequivalent W+5.33+ sites. In the first W+5.33+ site, W+5.33+ is bonded to six equivalent O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and faces with six equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All W–O bond lengths are 1.95 Å. In the second W+5.33+ site, W+5.33+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There is three shorter (1.95 Å) and three longer (2.00 Å) W–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Na1+ and two W+5.33+ atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the second O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.33+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na3(WO3)10 by Materials Project

Na3(WO3)10 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six NaO12 cuboctahedra and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.75 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four NaO12 cuboctahedra and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.75 Å. There are six inequivalent W+5.70+ sites. In the first W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with three NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the second W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All W–O bond lengths are 1.94 Å. In the third W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There is three shorter (1.93 Å) and three longer (1.96 Å) W–O bond length. In the fourth W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with three NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fifth W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There is four shorter (1.94 Å) and two longer (1.95 Å) W–O bond length. In the sixth W+5.70+ site, W+5.70+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with two equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the third O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.70+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the fifth O2- site, O2- is bonded in a distorted square co-planar geometry to two Na1+ and two W+5.70+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two W+5.70+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.70+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two equivalent W+5.70+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na4Li5(WO3)10 by Materials Project

Na4Li5(WO3)10 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Na–O bond distances ranging from 2.56–2.88 Å. In the second Na1+ site, Na1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Na–O bond distances ranging from 2.51–3.12 Å. In the third Na1+ site, Na1+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of Na–O bond distances ranging from 2.48–3.02 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.58–2.76 Å. There are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.73 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.81 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.64 Å. In the fourth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.68 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.76 Å. There are ten inequivalent W+5.10+ sites. In the first W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–22°. There are a spread of W–O bond distances ranging from 1.90–2.04 Å. In the second W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of W–O bond distances ranging from 1.88–2.08 Å. In the third W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–25°. There are a spread of W–O bond distances ranging from 1.92–2.09 Å. In the fourth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–20°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the fifth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–22°. There are a spread of W–O bond distances ranging from 1.90–2.05 Å. In the sixth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of W–O bond distances ranging from 1.92–2.07 Å. In the seventh W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 12–22°. There are a spread of W–O bond distances ranging from 1.92–2.06 Å. In the eighth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–24°. There are a spread of W–O bond distances ranging from 1.90–2.06 Å. In the ninth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–25°. There are a spread of W–O bond distances ranging from 1.88–2.07 Å. In the tenth W+5.10+ site, W+5.10+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–21°. There are a spread of W–O bond distances ranging from 1.90–2.06 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two W+5.10+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.10+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Li1+, and two W+5.10+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two W+5.10+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two W+5.10+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two W+5.10+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, two Li1+, and two W+5.10+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, two Li1+, and two W+5.10+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.10+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, one Li1+, and two W+5.10+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to two W+5.10+ atoms. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two W+5.10+ atoms. In the twenty-first O2- site, O2- is bonded in a linear geometry to two W+5.10+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two W+5.10+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and two W+5.10+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and two W+5.10+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted square pyramidal geometry to three Na1+ and two W+5.10+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two W+5.10+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Na1+, two Li1+, and two W+5.10+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, one Li1+, and two W+5.10+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Li1+, and two W+5.10+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5(WO3)6 by Materials Project

Na5(WO3)6 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.82 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with four NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. There are two inequivalent W+5.17+ sites. In the first W+5.17+ site, W+5.17+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.93–2.00 Å. In the second W+5.17+ site, W+5.17+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of W–O bond distances ranging from 1.97–2.02 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with six ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with two equivalent ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the second O2- site, O2- is bonded to three Na1+ and two W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, faces with two ONa4W2 octahedra, and faces with two ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–61°. In the third O2- site, O2- is bonded to three Na1+ and two W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, faces with two ONa4W2 octahedra, and faces with two ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–61°. In the fourth O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with six ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with two equivalent ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 60–61°. In the fifth O2- site, O2- is bonded to four Na1+ and two equivalent W+5.17+ atoms to form distorted ONa4W2 octahedra that share corners with five ONa4W2 octahedra, corners with seventeen ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with three ONa3W2 square pyramids, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 0–60°. In the sixth O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with ten ONa4W2 octahedra, corners with nine ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four equivalent ONa3W2 square pyramids, and faces with four equivalent ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–60°. In the seventh O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four equivalent ONa3W2 square pyramids, and faces with four equivalent ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 59–60°. In the eighth O2- site, O2- is bonded to three Na1+ and two equivalent W+5.17+ atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with eleven ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na5(WO3)14 by Materials Project

Na5(WO3)14 crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra and faces with eight WO6 octahedra. There are two shorter (2.72 Å) and ten longer (2.75 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with six equivalent NaO12 cuboctahedra and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.75 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with seven NaO12 cuboctahedra and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.76 Å. There are four inequivalent W+5.64+ sites. In the first W+5.64+ site, W+5.64+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with three NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the second W+5.64+ site, W+5.64+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. All W–O bond lengths are 1.95 Å. In the third W+5.64+ site, W+5.64+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with three equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the fourth W+5.64+ site, W+5.64+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with two NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. All W–O bond lengths are 1.95 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two equivalent W+5.64+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two equivalent W+5.64+ atoms. In the third O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.64+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.64+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.64+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na1+ and two equivalent W+5.64+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two equivalent W+5.64+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two equivalent W+5.64+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two equivalent W+5.64+ atoms. In the tenth O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.64+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.64+ atoms. In the twelfth O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.64+ atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na9(WO3)13 by Materials Project

Na9(WO3)13 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.80 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with seven NaO12 cuboctahedra, faces with four NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are ten shorter (2.78 Å) and two longer (2.79 Å) Na–O bond lengths. In the fourth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with three NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.81 Å. In the fifth Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with four NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.82 Å. There are seven inequivalent W+5.31+ sites. In the first W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.85–2.00 Å. In the second W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.89–1.97 Å. In the third W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of W–O bond distances ranging from 2.01–2.07 Å. In the fourth W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are four shorter (2.02 Å) and two longer (2.06 Å) W–O bond lengths. In the fifth W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.91–2.04 Å. In the sixth W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.88–2.01 Å. In the seventh W+5.31+ site, W+5.31+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of W–O bond distances ranging from 1.91–2.02 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted square co-planar geometry to two equivalent Na1+ and two equivalent W+5.31+ atoms. In the second O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form distorted ONa3W2 square pyramids that share a cornercorner with one ONa4W2 octahedra, corners with twelve ONa3W2 square pyramids, edges with four ONa3W2 square pyramids, and faces with four ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 61°. In the third O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form a mixture of distorted edge, face, and corner-sharing ONa3W2 square pyramids. In the fourth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form distorted ONa3W2 square pyramids that share a cornercorner with one ONa4W2 octahedra, corners with twelve ONa3W2 square pyramids, edges with four ONa3W2 square pyramids, and faces with four ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 61°. In the fifth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form a mixture of distorted edge, face, and corner-sharing ONa3W2 square pyramids. In the sixth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form a mixture of distorted edge, face, and corner-sharing ONa3W2 square pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.31+ atoms. In the eighth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form distorted ONa3W2 square pyramids that share a cornercorner with one ONa4W2 octahedra, corners with fifteen ONa3W2 square pyramids, edges with five ONa3W2 square pyramids, a faceface with one ONa4W2 octahedra, and faces with three ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 60°. In the ninth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form distorted ONa3W2 square pyramids that share corners with seventeen ONa3W2 square pyramids, edges with two equivalent ONa4W2 octahedra, edges with four ONa3W2 square pyramids, and faces with four ONa3W2 square pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.31+ atoms. In the eleventh O2- site, O2- is bonded to three equivalent Na1+ and two W+5.31+ atoms to form a mixture of distorted edge, face, and corner-sharing ONa3W2 square pyramids. In the twelfth O2- site, O2- is bonded to three Na1+ and two W+5.31+ atoms to form distorted ONa3W2 square pyramids that share a cornercorner with one ONa4W2 octahedra, corners with seventeen ONa3W2 square pyramids, edges with five ONa3W2 square pyramids, a faceface with one ONa4W2 octahedra, and faces with three ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 60°. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+ and two W+5.31+ atoms. In the fourteenth O2- site, O2- is bonded to four Na1+ and two equivalent W+5.31+ atoms to form distorted ONa4W2 octahedra that share corners with two equivalent ONa4W2 octahedra, corners with sixteen ONa3W2 square pyramids, edges with four equivalent ONa3W2 square pyramids, and faces with eight ONa3W2 square pyramids. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na14(WO3)19 by Materials Project

Na14(WO3)19 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.79 Å. In the second Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are eight shorter (2.79 Å) and four longer (2.80 Å) Na–O bond lengths. In the third Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. All Na–O bond lengths are 2.79 Å. In the fourth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.79 Å. In the fifth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.83 Å. In the sixth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are eight shorter (2.79 Å) and four longer (2.80 Å) Na–O bond lengths. In the seventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.80 Å. There are eleven inequivalent W sites. In the first W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of W–O bond distances ranging from 1.88–2.01 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of W–O bond distances ranging from 1.87–2.01 Å. In the third W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There is two shorter (1.95 Å) and four longer (1.97 Å) W–O bond length. In the fourth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of W–O bond distances ranging from 1.97–2.06 Å. In the fifth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of W–O bond distances ranging from 1.97–2.06 Å. In the sixth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of W–O bond distances ranging from 1.97–2.07 Å. In the seventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.91–1.97 Å. In the eighth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of W–O bond distances ranging from 1.97–2.06 Å. In the ninth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.97 Å) and two longer (2.04 Å) W–O bond lengths. In the tenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of W–O bond distances ranging from 1.91–1.97 Å. In the eleventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight equivalent NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.91 Å) and four longer (1.97 Å) W–O bond length. There are twenty inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the sixth O site, O is bonded in a linear geometry to two W atoms. In the seventh O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge and corner-sharing ONa4W2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded in a linear geometry to two W atoms. In the ninth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge and corner-sharing ONa4W2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the tenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the eleventh O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the twelfth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirteenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourteenth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the fifteenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the sixteenth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the seventeenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the eighteenth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the nineteenth O site, O is bonded to four equivalent Na and two equivalent W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the twentieth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted face, edge, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na17(WO3)19 by Materials Project

Na17(WO3)19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Na sites. In the first Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.83 Å. In the second Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.87 Å. In the third Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.87 Å. In the fourth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.84 Å. In the fifth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.87 Å. In the sixth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.84 Å. In the seventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.86 Å. In the eighth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.86 Å. In the ninth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.72–2.85 Å. In the tenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.87 Å. In the eleventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.86 Å. In the twelfth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.86 Å. In the thirteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.85 Å. In the fourteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.85 Å. In the fifteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with ten NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.83 Å. In the sixteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.85 Å. In the seventeenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eleven NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.84 Å. There are nineteen inequivalent W sites. In the first W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of W–O bond distances ranging from 1.94–2.05 Å. In the third W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the fourth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the fifth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.95–2.06 Å. In the sixth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.90–2.05 Å. In the seventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the eighth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.92–2.06 Å. In the ninth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the tenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of W–O bond distances ranging from 1.93–2.07 Å. In the eleventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.90–2.04 Å. In the twelfth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.91–2.07 Å. In the thirteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the fourteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of W–O bond distances ranging from 1.92–2.04 Å. In the fifteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of W–O bond distances ranging from 1.93–2.03 Å. In the sixteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of W–O bond distances ranging from 1.91–2.05 Å. In the seventeenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of W–O bond distances ranging from 1.93–2.07 Å. In the eighteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–2.05 Å. In the nineteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.90–2.04 Å. There are fifty-seven inequivalent O sites. In the first O site, O is bonded to four Na and two W atoms to form distorted ONa4W2 octahedra that share corners with twelve ONa4W2 octahedra, corners with ten ONa3W2 square pyramids, edges with three ONa4W2 octahedra, an edgeedge with one ONa3W2 square pyramid, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 1–62°. In the second O site, O is bonded to four Na and two W atoms to form distorted ONa4W2 octahedra that share corners with thirteen ONa4W2 octahedra, corners with nine ONa3W2 square pyramids, edges with four ONa4W2 octahedra, faces with four ONa4W2 octahedra, and faces with four ONa3W2 square pyramids. The corner-sharing octahedra tilt angles range from 0–62°. In the third O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, edges with two ONa4W2 octahedra, edges with four ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the fifth O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with thirteen ONa4W2 octahedra, corners with six ONa3W2 square pyramids, an edgeedge with one ONa4W2 octahedra, edges with five ONa3W2 square pyramids, and faces with four ONa4W2 octahedra. The corner-sharing octahedr

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na16(WO3)19 by Materials Project

Na16(WO3)19 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are sixteen inequivalent Na sites. In the first Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.84 Å. In the second Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.75–2.82 Å. In the third Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.82 Å. In the fourth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.74–2.81 Å. In the fifth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.83 Å. In the sixth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.81 Å. In the seventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.79–2.83 Å. In the eighth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.83 Å. In the ninth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.84 Å. In the tenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.81 Å. In the eleventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.82 Å. In the twelfth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.79–2.83 Å. In the thirteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.83 Å. In the fourteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.77–2.84 Å. In the fifteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with nine NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.76–2.83 Å. In the sixteenth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with three equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.78–2.81 Å. There are nineteen inequivalent W sites. In the first W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.98–2.04 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.92–2.01 Å. In the third W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.90–2.06 Å. In the fourth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.93–2.04 Å. In the fifth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with six NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.94–1.97 Å. In the sixth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of W–O bond distances ranging from 1.98–2.02 Å. In the seventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. In the eighth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of W–O bond distances ranging from 1.97–2.04 Å. In the ninth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.93–2.01 Å. In the tenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.96–2.04 Å. In the eleventh W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.95–2.04 Å. In the twelfth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.93–2.01 Å. In the thirteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is four shorter (1.96 Å) and two longer (2.02 Å) W–O bond length. In the fourteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.93–2.01 Å. In the fifteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.96–2.04 Å. In the sixteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.96–2.04 Å. In the seventeenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.93–2.01 Å. In the eighteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with seven NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of W–O bond distances ranging from 1.96–2.04 Å. In the nineteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with five NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. There are thirty-eight inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the third O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the fourth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the fifth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the sixth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the seventh O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the ninth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the tenth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the eleventh O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the twelfth O site, O is bonded to three Na and two W atoms to form a mixture of distorted edge, corner, and face-sharing ONa3W2 square pyramids. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the fourteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Na and two W atoms. In the fifteenth O site, O is bonded to three Na and two W atoms to form distorted ONa3W2 square pyramids that share corners with eight ONa4W2 octahedra, corners with six ONa3W2 square pyramids

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Na7(WO3)20 by Materials Project

Na7(WO3)20 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are seven inequivalent Na sites. In the first Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.75 Å. In the second Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, faces with four equivalent NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.71–2.75 Å. In the third Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.69–2.80 Å. In the fourth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.68–2.78 Å. In the fifth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.67–2.81 Å. In the sixth Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with twelve NaO12 cuboctahedra, faces with six NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.73–2.78 Å. In the seventh Na site, Na is bonded to twelve O atoms to form NaO12 cuboctahedra that share corners with eight NaO12 cuboctahedra, faces with five NaO12 cuboctahedra, and faces with eight WO6 octahedra. There are a spread of Na–O bond distances ranging from 2.70–2.82 Å. There are twenty inequivalent W sites. In the first W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.93–1.98 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of W–O bond distances ranging from 1.84–2.04 Å. In the third W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of W–O bond distances ranging from 1.85–2.08 Å. In the fourth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the fifth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of W–O bond distances ranging from 1.88–2.03 Å. In the sixth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is four shorter (1.95 Å) and two longer (1.96 Å) W–O bond length. In the seventh W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.91–2.00 Å. In the eighth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of W–O bond distances ranging from 1.88–2.03 Å. In the ninth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of W–O bond distances ranging from 1.92–2.00 Å. In the tenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of W–O bond distances ranging from 1.84–2.08 Å. In the eleventh W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the twelfth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of W–O bond distances ranging from 1.89–1.98 Å. In the thirteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the fourteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is one shorter (1.91 Å) and five longer (1.95 Å) W–O bond length. In the fifteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are five shorter (1.95 Å) and one longer (2.06 Å) W–O bond lengths. In the sixteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of W–O bond distances ranging from 1.88–2.03 Å. In the seventeenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.92–1.95 Å. In the eighteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of W–O bond distances ranging from 1.92–2.03 Å. In the nineteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with eight NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.95–2.02 Å. In the twentieth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of W–O bond distances ranging from 1.91–2.00 Å. There are forty inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the third O site, O is bonded in a linear geometry to two equivalent W atoms. In the fourth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fifth O site, O is bonded in a linear geometry to two equivalent W atoms. In the sixth O site, O is bonded in a linear geometry to two equivalent W atoms. In the seventh O site, O is bonded in a linear geometry to two equivalent W atoms. In the eighth O site, O is bonded in a linear geometry to two equivalent W atoms. In the ninth O site, O is bonded in a linear geometry to two equivalent W atoms. In the tenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the eleventh O site, O is bonded in a linear geometry to two equivalent W atoms. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the fourteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the fifteenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the seventeenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the eighteenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–62°. In the nineteenth O site, O is bonded to four Na and two equivalent W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the twentieth O site, O is bonded in a linear geometry to two W atoms. In the twenty-first O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge and corner-sharing ONa4W2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twenty-second O site, O is bonded in a linear geometry to two W atoms. In the twenty-third O site, O is bonded in a linear geometry to two W atoms. In the twenty-fourth O site, O is bonded in a linear geometry to two W atoms. In the twenty-fifth O site, O is bonded in a linear geometry to two W atoms. In the twenty-sixth O site, O is bonded in a linear geometry to two W atoms. In the twenty-seventh O site, O is bonded in a linear geometry to two W atoms. In the twenty-eighth O site, O is bonded in a linear geometry to two W atoms. In the twenty-ninth O site, O is bonded in a linear geometry to two W atoms. In the thirtieth O site, O is bonded in a linear geometry to two W atoms. In the thirty-first O site, O is bonded in a linear geometry to two W atoms. In the thirty-second O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge and corner-sharing ONa4W2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirty-third O site, O is bonded in a linear geometry to two W atoms. In the thirty-fourth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-fifth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the thirty-sixth O site, O is bonded in a linear geometry to two W atoms. In the thirty-seventh O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–62°. In the thirty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two equivalent Na and two equivalent W atoms. In the thirty-ninth O site, O is bonded to four equivalent Na and two W atoms to form a mixture of distorted edge, face, and corner-sharing ONa4W2 octahedra. The corner-sharing octahedra tilt angles range from 0–61°. In the fortieth O site,

36 MATERIALS SCIENCE↗