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Materials Data on TlP4(W5O17)4 by Materials Project

TlP4(W5O17)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. 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 five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–21°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the second W site, W is bonded to six O atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of W–O bond distances ranging from 1.87–2.03 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 0–15°. There are a spread of W–O bond distances ranging from 1.92–1.98 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 1–12°. There are a spread of W–O bond distances ranging from 1.90–1.99 Å. In the fifth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of W–O bond distances ranging from 1.82–2.11 Å. In the sixth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. 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 2–18°. There are a spread of W–O bond distances ranging from 1.86–2.04 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 1–13°. There are a spread of W–O bond distances ranging from 1.87–2.02 Å. In the ninth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–21°. There are a spread of W–O bond distances ranging from 1.85–2.10 Å. In the tenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of W–O bond distances ranging from 1.86–2.05 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 0–14°. There are a spread of W–O bond distances ranging from 1.91–1.98 Å. In the twelfth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the thirteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.90–1.99 Å. In the fourteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of W–O bond distances ranging from 1.91–2.01 Å. In the fifteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of W–O bond distances ranging from 1.89–2.03 Å. In the sixteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. In the seventeenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of W–O bond distances ranging from 1.86–2.09 Å. In the eighteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.88–2.01 Å. In the nineteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.82–2.08 Å. In the twentieth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. Tl is bonded in a 2-coordinate geometry to two O atoms. There are one shorter (2.64 Å) and one longer (2.69 Å) Tl–O bond lengths. There are four inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–22°. There is two shorter (1.53 Å) and two longer (1.54 Å) P–O bond length. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–23°. All P–O bond lengths are 1.54 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–28°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–23°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are sixty-eight inequivalent O sites. In the first O site, O is bonded in a linear geometry to two W atoms. In the second O site, O is bonded in a linear geometry to two W atoms. In the third O site, O is bonded in a linear geometry to two W atoms. In the fourth O site, O is bonded in a linear geometry to two W atoms. In the fifth O site, O is bonded in a linear geometry to two 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 in a linear geometry to two W atoms. In the eighth O site, O is bonded in a linear geometry to two W atoms. In the ninth O site, O is bonded in a linear geometry to two W atoms. In the tenth O site, O is bonded in a linear geometry to two W atoms. In the eleventh O site, O is bonded in a linear geometry to two W atoms. In the twelfth O site, O is bonded in a linear geometry to two W atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fourteenth O site, O is bonded in a linear geometry to two W atoms. In the fifteenth O site, O is bonded in a linear geometry to two W atoms. In the sixteenth O site, O is bonded in a linear geometry to two W atoms. In the seventeenth O site, O is bonded in a linear geometry to two W atoms. In the eighteenth O site, O is bonded in a linear geometry to two W atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. 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 in a linear geometry to two W atoms. 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 one W and one P atom. In the twenty-fourth O site, O is bonded in a linear geometry to one W and one P atom. In the twenty-fifth O site, O is bonded in a distorted T-shaped geometry to one W, one Tl, and one P atom. In the twenty-sixth O site, O is bonded in a linear geometry to one W and one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one W and one P atom. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one W and one P atom. 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 bent 150 degrees geometry to one W and one P atom. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to one W and one P atom. 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 in a linear geometry to two W atoms. In the thirty-fifth O site, O is bonded in a linear geometry to two W atoms. 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 in a linear geometry to one W and one P atom. In the thirty-eighth O site, O is bonded in a 2-coordinate geometry to one W and one P atom. In the thirty-ninth O site, O is bonded in a linear geometry to two W atoms. In the fortieth O site, O is bonded in a linear geometry to two W atoms. In the forty-first O site, O is bonded in a distorted bent 150 degrees geometry to one W and one P atom. In the forty-second O site, O is bonded in a bent 150 degrees geometry to one W and one P atom. In the forty-third O site, O is bonded in a linear geometry to two W atoms. In the forty-fourth O site, O is bonded in a linear geometry to two W atoms. In the forty-fifth O site, O is bonded in a linear geometry to two W atoms. In the forty-sixth O site, O is bonded in a linear geometry to two W atoms. In the forty-seventh O site, O is bonded in a linear geometry to two W atoms. In the forty-eighth O site, O is bonded in a linear geometry to two W atoms. In the forty-ninth O site, O is bonded in a linear geometry to two W atoms. In the fiftieth O site, O is bonded in a linear geometry to two W atoms. In the fifty-first O site, O is bonded in a distorted linear geometry to one W and one P atom. In the fifty-second O site, O is bonded in a linear geometry to one W and one P atom. In the fifty-third O site, O is bonded in a 1-coordinate geometry to one W, one Tl, and one P atom. In the fifty-fourth O site, O is bonded in a bent 150 degrees geometry to one W and one P atom. In the fifty-fifth O site, O is bonded in a linear geometry to two W atoms. In the fifty-sixth O site, O is bonded in a linear geometry to two W atoms. In the fifty-seventh O site, O is bonded in a linear geometry to two W atoms. In the fifty-eighth O site, O is bonded in a linear geometry to two W atoms. In the fifty-ninth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the sixtieth O site, O is bonded in a linear geometry to two W atoms. In the sixty-first O site, O is bonded in a linear geometry to two W atoms. In the sixty-second O site, O is bonded in a linear geometry to two W atoms. In the sixty-third O site, O is bonded in a linear geometry to two W atoms. In the sixty-fourth O site, O is bonded in a linear geometry to two W atoms. In the sixty-fifth O site, O is bonded in a linear geometry to two W atoms. In the sixty-sixth O site, O is bonded in a linear geometry to two W atoms. In the sixty-seventh O site, O is bonded in a linear geometry to two W atoms. In the sixty-eighth O site, O is bonded in a linear geometry to two W atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zn(W18O49)2 by Materials Project

Zn(W18O49)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eighteen 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 9–38°. There are a spread of W–O bond distances ranging from 1.82–2.15 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 9–38°. There are a spread of W–O bond distances ranging from 1.82–2.13 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 6–27°. There are a spread of W–O bond distances ranging from 1.84–2.06 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 6–27°. There are a spread of W–O bond distances ranging from 1.84–2.07 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 3–49°. There are a spread of W–O bond distances ranging from 1.93–2.22 Å. In the sixth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–49°. There are a spread of W–O bond distances ranging from 1.93–2.23 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 6–37°. There are a spread of W–O bond distances ranging from 1.83–2.09 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 5–37°. There are a spread of W–O bond distances ranging from 1.83–2.05 Å. In the ninth W site, W is bonded to seven O atoms to form WO7 pentagonal bipyramids that share corners with two equivalent WO7 pentagonal bipyramids and edges with five WO6 octahedra. There are a spread of W–O bond distances ranging from 1.93–2.13 Å. In the tenth W site, W is bonded to seven O atoms to form WO7 pentagonal bipyramids that share corners with two equivalent WO7 pentagonal bipyramids and edges with five WO6 octahedra. There are a spread of W–O bond distances ranging from 1.93–2.12 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–38°. There are a spread of W–O bond distances ranging from 1.93–2.09 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–36°. There are a spread of W–O bond distances ranging from 1.93–2.12 Å. In the thirteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of W–O bond distances ranging from 1.87–2.04 Å. In the fourteenth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 4–26°. There are a spread of W–O bond distances ranging from 1.83–2.11 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 4–38°. There are a spread of W–O bond distances ranging from 1.85–2.07 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 an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 6–38°. There are a spread of W–O bond distances ranging from 1.84–2.10 Å. In the seventeenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra, an edgeedge with one WO6 octahedra, and an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–49°. There are a spread of W–O bond distances ranging from 1.93–2.08 Å. In the eighteenth W site, W is bonded to six O atoms to form WO6 octahedra that share corners with six WO6 octahedra, an edgeedge with one WO6 octahedra, and an edgeedge with one WO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 1–49°. There are a spread of W–O bond distances ranging from 1.93–2.09 Å. Zn is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Zn–O bond distances ranging from 2.00–2.26 Å. There are sixty-one inequivalent O sites. In the first O site, O is bonded in a linear geometry to two W atoms. In the second O site, O is bonded in a linear geometry to 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 distorted trigonal planar geometry to three W atoms. In the sixth O site, O is bonded in a distorted trigonal planar geometry to three 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 W atoms. In the twelfth O site, O is bonded in a linear geometry to two W atoms. In the thirteenth O site, O is bonded in a linear geometry to two W atoms. In the fourteenth O site, O is bonded in a linear geometry to two W atoms. In the fifteenth O site, O is bonded in a linear geometry to two W atoms. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the eighteenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the nineteenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the twentieth O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-first O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the twenty-third O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the twenty-fourth O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-fifth O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-sixth O site, O is bonded in a T-shaped geometry to two equivalent W and one Zn atom. In the twenty-seventh O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-eighth O site, O is bonded in a linear geometry to two equivalent W atoms. In the twenty-ninth O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirtieth O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirty-first O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to three W atoms. In the thirty-third O site, O is bonded in a distorted trigonal non-coplanar geometry to three W atoms. In the thirty-fourth O site, O is bonded in a linear geometry to two W atoms. In the thirty-fifth O site, O is bonded in a linear geometry to two W atoms. 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 in a distorted T-shaped geometry to two W and one Zn atom. In the thirty-eighth O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirty-ninth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fortieth O site, O is bonded in a linear geometry to two equivalent W atoms. In the forty-first O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the forty-second O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the forty-third O site, O is bonded in a linear geometry to two W atoms. In the forty-fourth O site, O is bonded in a linear geometry to two W atoms. In the forty-fifth O site, O is bonded in a linear geometry to two equivalent W atoms. In the forty-sixth O site, O is bonded in a linear geometry to two equivalent W atoms. In the forty-seventh O site, O is bonded in a linear geometry to two equivalent W atoms. In the forty-eighth O site, O is bonded in a linear geometry to two equivalent W atoms. In the forty-ninth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fiftieth O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the fifty-first O site, O is bonded in a distorted trigonal planar geometry to three W atoms. In the fifty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to three W atoms. In the fifty-third O site, O is bonded in a distorted trigonal non-coplanar geometry to three W atoms. In the fifty-fourth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fifty-fifth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fifty-sixth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fifty-seventh O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fifty-eighth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fifty-ninth O site, O is bonded in a linear geometry to two equivalent W atoms. In the sixtieth O site, O is bonded in a T-shaped geometry to two equivalent W and one Zn atom. In the sixty-first O site, O is bonded in a linear geometry to two W atoms.

36 MATERIALS SCIENCE↗

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↗

Materials Data on W17O47 by Materials Project

W17O47 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one hydrogen peroxide molecule and one W17O45 framework. In the W17O45 framework, there are seventeen inequivalent W+5.53+ sites. In the first W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form distorted WO6 octahedra that share corners with two equivalent WO6 octahedra, an edgeedge with one WO6 octahedra, and an edgeedge with one WO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of W–O bond distances ranging from 1.83–2.09 Å. In the second W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 5–25°. There are a spread of W–O bond distances ranging from 1.92–2.20 Å. In the third W+5.53+ site, W+5.53+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. In the fourth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra, a cornercorner with one WO5 square pyramid, a cornercorner with one WO5 trigonal bipyramid, and an edgeedge with one WO6 octahedra. The corner-sharing octahedra tilt angles range from 3–31°. There are a spread of W–O bond distances ranging from 1.93–2.10 Å. In the fifth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra, a cornercorner with one WO5 trigonal bipyramid, and edges with two WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–33°. There are a spread of W–O bond distances ranging from 1.91–2.16 Å. In the sixth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–32°. There are a spread of W–O bond distances ranging from 1.92–2.11 Å. In the seventh W+5.53+ site, W+5.53+ is bonded in a pentagonal planar geometry to five O2- atoms. There are a spread of W–O bond distances ranging from 2.00–2.34 Å. In the eighth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra, a cornercorner with one WO5 trigonal bipyramid, and edges with two WO6 octahedra. The corner-sharing octahedra tilt angles range from 4–33°. There are a spread of W–O bond distances ranging from 1.86–2.14 Å. In the ninth W+5.53+ site, W+5.53+ is bonded to five O2- atoms to form distorted corner-sharing WO5 square pyramids. There are a spread of W–O bond distances ranging from 1.96–2.27 Å. In the tenth W+5.53+ site, W+5.53+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of W–O bond distances ranging from 1.72–2.41 Å. In the eleventh W+5.53+ site, W+5.53+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of W–O bond distances ranging from 1.90–2.42 Å. In the twelfth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 6–25°. There are a spread of W–O bond distances ranging from 1.91–2.09 Å. In the thirteenth W+5.53+ site, W+5.53+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share a cornercorner with one WO6 octahedra, corners with two equivalent WO5 trigonal bipyramids, and an edgeedge with one WO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of W–O bond distances ranging from 1.92–2.16 Å. In the fourteenth W+5.53+ site, W+5.53+ is bonded to five O2- atoms to form WO5 square pyramids that share a cornercorner with one WO6 octahedra and corners with three WO5 square pyramids. The corner-sharing octahedral tilt angles are 28°. There are a spread of W–O bond distances ranging from 1.79–1.97 Å. In the fifteenth W+5.53+ site, W+5.53+ is bonded to five O2- atoms to form WO5 trigonal bipyramids that share corners with two WO6 octahedra and corners with two equivalent WO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of W–O bond distances ranging from 1.73–2.00 Å. In the sixteenth W+5.53+ site, W+5.53+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of W–O bond distances ranging from 1.92–2.12 Å. In the seventeenth W+5.53+ site, W+5.53+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of W–O bond distances ranging from 1.86–2.16 Å. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two W+5.53+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.53+ and one O2- atom. The O–O bond length is 1.40 Å. In the fourth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W+5.53+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent W+5.53+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two W+5.53+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.53+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three W+5.53+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the eighteenth O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the nineteenth O2- site, O2- is bonded in a single-bond geometry to one W+5.53+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two W+5.53+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted water-like geometry to two W+5.53+ atoms. In the twenty-third O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent W+5.53+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one W+5.53+ and one O2- atom. The O–O bond length is 1.30 Å. In the twenty-eighth O2- site, O2- is bonded in a single-bond geometry to one O2- atom. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one W+5.53+ and one O2- atom. The O–O bond length is 1.31 Å. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to three W+5.53+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one W+5.53+ and one O2- atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent W+5.53+ atoms. In the thirty-fourth O2- site, O2- is bonded in a T-shaped geometry to three W+5.53+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the thirty-seventh O2- site, O2- is bonded in a T-shaped geometry to three W+5.53+ atoms. In the thirty-eighth O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the thirty-ninth O2- site, O2- is bonded in a single-bond geometry to one O2- atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent W+5.53+ atoms. In the forty-first O2- site, O2- is bonded in a water-like geometry to two W+5.53+ atoms. In the forty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the forty-third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.53+ atoms. In the forty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three W+5.53+ atoms. In the forty-fifth O2- site, O2- is bonded in a single-bond geometry to one W+5.53+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K(WO3)3 by Materials Project

K(WO3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent K1+ sites. In the first 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 3.10–3.15 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 3.12–3.21 Å. In the third 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 3.11–3.19 Å. In the fourth 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 3.11–3.17 Å. In the fifth 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 3.13–3.20 Å. There are fifteen inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–31°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the second W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.93–1.98 Å. In the third W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.91–1.98 Å. In the fourth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.99 Å. In the fifth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There is five shorter (1.94 Å) and one longer (1.95 Å) W–O bond length. In the sixth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–31°. There is three shorter (1.93 Å) and three longer (1.95 Å) W–O bond length. In the seventh W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–31°. There are a spread of W–O bond distances ranging from 1.91–1.98 Å. In the eighth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.92–1.98 Å. In the ninth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.93–1.98 Å. In the tenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the eleventh W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–31°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the twelfth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–31°. There are a spread of W–O bond distances ranging from 1.94–1.98 Å. In the thirteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fourteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fifteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.98 Å. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fortieth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the forty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-fifth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K(WO3)3 by Materials Project

K(WO3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent K1+ sites. In the first 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 3.10–3.15 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 3.12–3.21 Å. In the third 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 3.11–3.19 Å. In the fourth 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 3.10–3.17 Å. In the fifth 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 3.13–3.20 Å. There are fifteen inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–31°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the second W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the third W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fourth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.94–1.97 Å. In the fifth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There is two shorter (1.94 Å) and four longer (1.95 Å) W–O bond length. In the sixth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.95 Å. In the seventh W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.94–1.97 Å. In the eighth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.92–1.97 Å. In the ninth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.94–1.97 Å. In the tenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the eleventh W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–31°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. In the twelfth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–31°. There is four shorter (1.94 Å) and two longer (1.96 Å) W–O bond length. In the thirteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fourteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.93–1.97 Å. In the fifteenth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–32°. There is four shorter (1.94 Å) and two longer (1.96 Å) W–O bond length. There are forty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fortieth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the forty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the forty-fifth O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaP4(W3O11)4 by Materials Project

NaP4(W3O11)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.72 Å. There are twelve inequivalent W+5.58+ sites. In the first W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 0–20°. There are a spread of W–O bond distances ranging from 1.81–2.10 Å. In the second W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the third W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.82–2.06 Å. In the fourth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of W–O bond distances ranging from 1.83–2.12 Å. In the fifth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of W–O bond distances ranging from 1.88–2.03 Å. In the sixth W+5.58+ site, W+5.58+ 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 1.87–2.02 Å. In the seventh W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.84–2.02 Å. In the eighth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.85–2.03 Å. In the ninth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the tenth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of W–O bond distances ranging from 1.84–2.07 Å. In the eleventh W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of W–O bond distances ranging from 1.85–2.03 Å. In the twelfth W+5.58+ site, W+5.58+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–20°. There are a spread of W–O bond distances ranging from 1.84–2.15 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–29°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–26°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 8–23°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–30°. There is three shorter (1.53 Å) and one longer (1.57 Å) P–O bond length. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.58+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.58+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirtieth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one W+5.58+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted linear geometry to one W+5.58+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a linear geometry to one W+5.58+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two W+5.58+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted linear geometry to two W+5.58+ atoms. In the fortieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W+5.58+ atoms. In the forty-first O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-second O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-third O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms. In the forty-fourth O2- site, O2- is bonded in a linear geometry to two W+5.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ni3W6C by Materials Project

W6Ni3C crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are eighteen inequivalent W sites. In the first W site, W is bonded in a 3-coordinate geometry to three Ni and one C atom. There are two shorter (2.67 Å) and one longer (2.93 Å) W–Ni bond lengths. The W–C bond length is 2.16 Å. In the second W site, W is bonded in a 2-coordinate geometry to four Ni atoms. There are a spread of W–Ni bond distances ranging from 2.67–2.98 Å. In the third W site, W is bonded in a 3-coordinate geometry to four Ni and one C atom. There are a spread of W–Ni bond distances ranging from 2.66–2.96 Å. The W–C bond length is 2.15 Å. In the fourth W site, W is bonded in a 2-coordinate geometry to four Ni and two equivalent C atoms. There are a spread of W–Ni bond distances ranging from 2.67–2.87 Å. Both W–C bond lengths are 2.13 Å. In the fifth W site, W is bonded in a 4-coordinate geometry to four Ni and two equivalent C atoms. There are a spread of W–Ni bond distances ranging from 2.66–2.88 Å. Both W–C bond lengths are 2.13 Å. In the sixth W site, W is bonded in a 2-coordinate geometry to four Ni and two equivalent C atoms. There are a spread of W–Ni bond distances ranging from 2.66–2.88 Å. Both W–C bond lengths are 2.13 Å. In the seventh W site, W is bonded in a 3-coordinate geometry to three Ni and one C atom. There are a spread of W–Ni bond distances ranging from 2.66–2.91 Å. The W–C bond length is 2.17 Å. In the eighth W site, W is bonded in a 1-coordinate geometry to four Ni and one C atom. There are a spread of W–Ni bond distances ranging from 2.67–2.97 Å. The W–C bond length is 2.16 Å. In the ninth W site, W is bonded in a 3-coordinate geometry to four Ni and one C atom. There are a spread of W–Ni bond distances ranging from 2.66–2.97 Å. The W–C bond length is 2.17 Å. In the tenth W site, W is bonded in a 2-coordinate geometry to four Ni and two C atoms. There are a spread of W–Ni bond distances ranging from 2.68–2.88 Å. There are one shorter (2.12 Å) and one longer (2.13 Å) W–C bond lengths. In the eleventh W site, W is bonded in a 3-coordinate geometry to four Ni and one C atom. There are a spread of W–Ni bond distances ranging from 2.66–2.98 Å. The W–C bond length is 2.16 Å. In the twelfth W site, W is bonded in a 2-coordinate geometry to four Ni and two C atoms. There are a spread of W–Ni bond distances ranging from 2.67–2.89 Å. There are one shorter (2.12 Å) and one longer (2.13 Å) W–C bond lengths. In the thirteenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. There are four shorter (2.44 Å) and two longer (2.45 Å) W–Ni bond lengths. In the fourteenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. All W–Ni bond lengths are 2.44 Å. In the fifteenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. There are a spread of W–Ni bond distances ranging from 2.43–2.45 Å. In the sixteenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. There are two shorter (2.44 Å) and four longer (2.45 Å) W–Ni bond lengths. In the seventeenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. There are four shorter (2.44 Å) and two longer (2.45 Å) W–Ni bond lengths. In the eighteenth W site, W is bonded in a 6-coordinate geometry to six Ni atoms. There are two shorter (2.44 Å) and four longer (2.45 Å) W–Ni bond lengths. There are nine inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to six W and three Ni atoms. All Ni–Ni bond lengths are 2.63 Å. In the second Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. All Ni–Ni bond lengths are 2.66 Å. In the third Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. There are one shorter (2.65 Å) and two longer (2.66 Å) Ni–Ni bond lengths. In the fourth Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. Both Ni–Ni bond lengths are 2.68 Å. In the fifth Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. Both Ni–Ni bond lengths are 2.65 Å. In the sixth Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. Both Ni–Ni bond lengths are 2.67 Å. In the seventh Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. The Ni–Ni bond length is 2.68 Å. In the eighth Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. The Ni–Ni bond length is 2.67 Å. In the ninth Ni site, Ni is bonded in a 12-coordinate geometry to nine W and three Ni atoms. The Ni–Ni bond length is 2.66 Å. There are three inequivalent C sites. In the first C site, C is bonded to six W atoms to form corner-sharing CW6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. In the second C site, C is bonded to six W atoms to form corner-sharing CW6 octahedra. The corner-sharing octahedral tilt angles are 41°. In the third C site, C is bonded to six W atoms to form corner-sharing CW6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°.

36 MATERIALS SCIENCE↗

Materials Data on W25O73 by Materials Project

W25O73 is alpha Rhenium trioxide-like structured and crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are thirteen inequivalent W sites. In the first 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 1.86–2.04 Å. In the second W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of W–O bond distances ranging from 1.89–2.01 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 2–10°. There are a spread of W–O bond distances ranging from 1.84–2.09 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 1–10°. There are a spread of W–O bond distances ranging from 1.84–2.09 Å. In the fifth W site, W is bonded to six O atoms to form a mixture of distorted edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of W–O bond distances ranging from 1.83–2.19 Å. In the sixth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of W–O bond distances ranging from 1.89–2.01 Å. 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 1.89–1.97 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 1–10°. There are a spread of W–O bond distances ranging from 1.86–2.08 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 0–2°. There are a spread of W–O bond distances ranging from 1.89–1.97 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 2–9°. There are a spread of W–O bond distances ranging from 1.86–2.06 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 0–5°. There are a spread of W–O bond distances ranging from 1.88–2.00 Å. In the twelfth W site, W is bonded to six O atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.82–2.18 Å. In the thirteenth W site, W is bonded to six O atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 7–27°. There are a spread of W–O bond distances ranging from 1.84–2.10 Å. There are thirty-seven inequivalent O sites. In the first O site, O is bonded in a linear geometry to two W atoms. In the second O site, O is bonded in a linear geometry to two 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 W atoms. In the fifth O site, O is bonded in a linear geometry to two 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 in a linear geometry to two 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 W atoms. In the tenth O site, O is bonded in a bent 120 degrees geometry to two 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 linear geometry to two W atoms. In the thirteenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fourteenth O site, O is bonded in a linear geometry to two equivalent W atoms. In the fifteenth O site, O is bonded in a linear geometry to two W atoms. In the sixteenth O site, O is bonded in a linear geometry to two W atoms. In the seventeenth O site, O is bonded in a linear geometry to two W atoms. In the eighteenth O site, O is bonded in a linear geometry to two W atoms. In the nineteenth O site, O is bonded in a linear geometry to two equivalent W atoms. 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 in a linear geometry to two W atoms. In the twenty-second O site, O is bonded in a linear geometry to two equivalent 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 distorted trigonal non-coplanar geometry to three W atoms. In the twenty-sixth O site, O is bonded in a linear geometry to two equivalent 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 distorted T-shaped geometry to three 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 equivalent W atoms. In the thirty-first O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirty-second O site, O is bonded in a linear geometry to two equivalent W atoms. 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 in a linear geometry to two W atoms. In the thirty-fifth O site, O is bonded in a linear geometry to two W atoms. In the thirty-sixth O site, O is bonded in a linear geometry to two equivalent W atoms. In the thirty-seventh O site, O is bonded in a linear geometry to two equivalent W atoms.

36 MATERIALS SCIENCE↗

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↗

Materials Data on Ca9(WO3)20 by Materials Project

Ca9(WO3)20 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Ca sites. In the first Ca site, Ca is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.44–3.12 Å. In the second Ca site, Ca is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.48–2.68 Å. In the third Ca site, Ca is bonded in a 6-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.92 Å. In the fourth Ca site, Ca is bonded in a 10-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.40–2.82 Å. In the fifth Ca site, Ca is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.51 Å. In the sixth Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.44–2.89 Å. In the seventh Ca site, Ca is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.49–3.05 Å. In the eighth Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.88 Å. In the ninth Ca site, Ca is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ca–O bond distances ranging from 2.39–3.03 Å. There are ten inequivalent W sites. In the first W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 20–47°. There are a spread of W–O bond distances ranging from 1.89–1.98 Å. In the second W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 23–47°. There are a spread of W–O bond distances ranging from 1.95–2.04 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 24–52°. There are a spread of W–O bond distances ranging from 1.91–2.12 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 26–47°. There are a spread of W–O bond distances ranging from 1.93–2.02 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 33–47°. There are a spread of W–O bond distances ranging from 1.98–2.04 Å. In the sixth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 27–48°. There are a spread of W–O bond distances ranging from 1.92–2.12 Å. 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 26–52°. There are a spread of W–O bond distances ranging from 1.92–2.16 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 20–48°. There are a spread of W–O bond distances ranging from 1.93–2.01 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 21–52°. There are a spread of W–O bond distances ranging from 1.91–2.00 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 28–52°. There are a spread of W–O bond distances ranging from 1.97–2.02 Å. There are forty inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Ca and two W atoms. In the second O site, O is bonded in a distorted T-shaped geometry to one Ca and two W atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Ca and two W atoms. In the sixth O site, O is bonded to two Ca and two W atoms to form distorted corner-sharing OCa2W2 trigonal pyramids. In the seventh O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Ca and two equivalent W atoms. In the ninth O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 trigonal pyramids. In the tenth O site, O is bonded in a 4-coordinate geometry to two Ca and two W atoms. In the eleventh O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the twelfth O site, O is bonded in a distorted T-shaped geometry to one Ca and two equivalent W atoms. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca and two W atoms. In the fourteenth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two W atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two Ca and two equivalent W atoms. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the seventeenth O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 tetrahedra. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two Ca and two W atoms. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one Ca and two equivalent W atoms. In the twentieth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca and two equivalent W atoms. In the twenty-first O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 trigonal pyramids. In the twenty-second O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 tetrahedra. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the twenty-fourth O site, O is bonded in a 2-coordinate geometry to two Ca and two equivalent W atoms. In the twenty-fifth O site, O is bonded to two Ca and two W atoms to form a mixture of edge and corner-sharing OCa2W2 tetrahedra. In the twenty-sixth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca and two W atoms. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to two Ca and two equivalent W atoms. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to two Ca and two W atoms. In the thirtieth O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 tetrahedra. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to one Ca and two equivalent W atoms. In the thirty-third O site, O is bonded to two Ca and two W atoms to form a mixture of distorted edge and corner-sharing OCa2W2 trigonal pyramids. In the thirty-fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Ca and two W atoms. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one Ca and two equivalent W atoms. In the thirty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Ca and two W atoms. In the thirty-eighth O site, O is bonded in a distorted T-shaped geometry to one Ca and two W atoms. In the thirty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca and two equivalent W atoms. In the fortieth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca and two equivalent W atoms.

36 MATERIALS SCIENCE↗

Materials Data on K9(WO3)20 by Materials Project

K9(WO3)20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent K sites. In the first K site, K is bonded in a 6-coordinate geometry to thirteen O atoms. There are a spread of K–O bond distances ranging from 2.82–3.29 Å. In the second K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.82–2.93 Å. In the third K site, K is bonded in a 6-coordinate geometry to thirteen O atoms. There are a spread of K–O bond distances ranging from 2.83–3.29 Å. In the fourth K site, K is bonded in a 6-coordinate geometry to six O atoms. There are a spread of K–O bond distances ranging from 2.83–2.92 Å. In the fifth K site, K is bonded to twelve O atoms to form KO12 cuboctahedra that share faces with eight WO6 octahedra. There are a spread of K–O bond distances ranging from 2.77–2.81 Å. There are twelve inequivalent W sites. In the first W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–29°. There are a spread of W–O bond distances ranging from 1.88–1.98 Å. In the second W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–28°. There are a spread of W–O bond distances ranging from 1.90–1.98 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 0–30°. There are a spread of W–O bond distances ranging from 1.91–2.02 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 0–30°. 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 a faceface with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–30°. There are a spread of W–O bond distances ranging from 1.89–1.99 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 a faceface with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–30°. There are a spread of W–O bond distances ranging from 1.91–2.05 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 a faceface with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–32°. There are a spread of W–O bond distances ranging from 1.90–2.06 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 a faceface with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–30°. There are a spread of W–O bond distances ranging from 1.89–2.05 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 0–32°. There are a spread of W–O bond distances ranging from 1.94–2.01 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 0–30°. There are a spread of W–O bond distances ranging from 1.91–1.95 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 0–30°. There is four shorter (1.95 Å) and two longer (1.96 Å) W–O bond length. In the twelfth W site, W is bonded to six O atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–30°. There are a spread of W–O bond distances ranging from 1.94–1.96 Å. There are thirty inequivalent O sites. In the first O site, O is bonded in a linear geometry to one K and two W atoms. In the second O site, O is bonded in a linear geometry to one K and two W atoms. In the third O site, O is bonded in a linear geometry to one K and two W atoms. In the fourth O site, O is bonded in a linear geometry to two W atoms. In the fifth O site, O is bonded in a linear geometry to one K and two W atoms. In the sixth O site, O is bonded in a linear geometry to one K and two W atoms. In the seventh O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the ninth O site, O is bonded to two K and two W atoms to form distorted corner-sharing OK2W2 trigonal pyramids. In the tenth O site, O is bonded to two K and two W atoms to form distorted corner-sharing OK2W2 trigonal pyramids. In the eleventh O site, O is bonded in a linear geometry to two W atoms. In the twelfth O site, O is bonded in a linear geometry to one K and two W atoms. In the thirteenth O site, O is bonded in a linear geometry to two W atoms. In the fourteenth O site, O is bonded in a 2-coordinate geometry to two K and two W atoms. In the fifteenth O site, O is bonded to two K and two W atoms to form distorted corner-sharing OK2W2 trigonal pyramids. In the sixteenth O site, O is bonded to two K and two W atoms to form distorted corner-sharing OK2W2 trigonal pyramids. In the seventeenth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the eighteenth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the nineteenth O site, O is bonded in a distorted linear geometry to two K and two W atoms. In the twentieth O site, O is bonded in a 2-coordinate geometry to two K and two W atoms. In the twenty-first O site, O is bonded in a linear geometry to two W atoms. In the twenty-second O site, O is bonded in a 2-coordinate geometry to two K and two W atoms. In the twenty-third O site, O is bonded in a 2-coordinate geometry to two K and two W atoms. In the twenty-fourth O site, O is bonded in a 2-coordinate geometry to two K and two W atoms. In the twenty-fifth O site, O is bonded in a linear geometry to one K and two W atoms. In the twenty-sixth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the twenty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the twenty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to two K and two W atoms. In the thirtieth O site, O is bonded in a linear geometry to one K and two W atoms.

36 MATERIALS SCIENCE↗

Materials Data on PW5O17 by Materials Project

W5PO17 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are ten inequivalent W+5.80+ sites. In the first W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. In the second W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–16°. There are a spread of W–O bond distances ranging from 1.84–2.05 Å. In the third W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of W–O bond distances ranging from 1.85–2.04 Å. In the fourth W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–19°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the fifth W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of W–O bond distances ranging from 1.85–2.02 Å. In the sixth W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of W–O bond distances ranging from 1.84–2.02 Å. In the seventh W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of W–O bond distances ranging from 1.85–2.03 Å. In the eighth W+5.80+ site, W+5.80+ 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 1.86–2.02 Å. In the ninth W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of W–O bond distances ranging from 1.87–2.00 Å. In the tenth W+5.80+ site, W+5.80+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of W–O bond distances ranging from 1.92–2.00 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 10–27°. All P–O bond lengths are 1.54 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–26°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.80+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.80+ and one P5+ atom. In the third O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two W+5.80+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two W+5.80+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W+5.80+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.80+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.80+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.80+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W+5.80+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.80+ atoms. In the twenty-third O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.80+ atoms. In the twenty-sixth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two W+5.80+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted linear geometry to one W+5.80+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted linear geometry to one W+5.80+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted linear geometry to one W+5.80+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted linear geometry to one W+5.80+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one W+5.80+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one W+5.80+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on P2W9O31 by Materials Project

W9P2O31 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent W+5.78+ sites. In the first W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of W–O bond distances ranging from 1.91–2.00 Å. In the second W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of W–O bond distances ranging from 1.91–1.99 Å. In the third W+5.78+ site, W+5.78+ 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 1.89–1.99 Å. In the fourth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of W–O bond distances ranging from 1.89–1.99 Å. In the fifth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of W–O bond distances ranging from 1.87–2.05 Å. In the sixth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of W–O bond distances ranging from 1.85–2.06 Å. In the seventh W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three WO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of W–O bond distances ranging from 1.86–2.05 Å. In the eighth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form WO6 octahedra that share corners with five WO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–20°. There are a spread of W–O bond distances ranging from 1.87–2.04 Å. In the ninth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 1–17°. There is four shorter (1.93 Å) and two longer (1.94 Å) W–O bond length. In the tenth W+5.78+ site, W+5.78+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There is two shorter (1.93 Å) and four longer (1.94 Å) W–O bond length. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 11–28°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four WO6 octahedra. The corner-sharing octahedra tilt angles range from 9–25°. All P–O bond lengths are 1.54 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two W+5.78+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two W+5.78+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two W+5.78+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.78+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the seventeenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.78+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two W+5.78+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted linear geometry to one W+5.78+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-eighth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.78+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a linear geometry to two W+5.78+ atoms. In the thirty-first O2- site, O2- is bonded in a linear geometry to two equivalent W+5.78+ atoms. In the thirty-second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.78+ atoms.

36 MATERIALS SCIENCE↗

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↗

Materials Data on Mg8SiW9O49 by Materials Project

MgO6Mg7W9SiO43 crystallizes in the monoclinic Cc space group. The structure is three-dimensional and consists of four magnesium;dihydroxide;tetrahydrate molecules and one Mg7W9SiO43 framework. In the Mg7W9SiO43 framework, there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share a cornercorner with one SiO4 tetrahedra and edges with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.13 Å. In the second Mg site, Mg is bonded to five O atoms to form distorted corner-sharing MgO5 trigonal bipyramids. There are a spread of Mg–O bond distances ranging from 1.98–2.14 Å. In the third Mg site, Mg is bonded in a distorted hexagonal planar geometry to six O atoms. There are three shorter (2.02 Å) and three longer (2.05 Å) Mg–O bond lengths. There are three inequivalent W sites. In the first W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.42 Å. In the second W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.42 Å. In the third W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.78–2.37 Å. Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There is one shorter (1.63 Å) and three longer (1.67 Å) Si–O bond length. There are forty-one inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 1.98 Å. In the second O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 1.98 Å. The O–W bond length is 1.78 Å. In the third O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.78 Å. In the fourth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the fifth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the sixth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the seventh O site, O is bonded in a T-shaped geometry to three Mg atoms. In the eighth O site, O is bonded in a T-shaped geometry to three Mg atoms. In the ninth O site, O is bonded in a T-shaped geometry to three Mg atoms. There are one shorter (2.13 Å) and one longer (2.14 Å) O–Mg bond lengths. In the tenth O site, O is bonded in a single-bond geometry to one Mg atom. In the eleventh O site, O is bonded in a single-bond geometry to one Mg atom. The O–Mg bond length is 2.13 Å. In the twelfth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. In the thirteenth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. There are one shorter (2.37 Å) and two longer (2.42 Å) O–W bond lengths. In the fourteenth O site, O is bonded in a distorted single-bond geometry to three W and one Si atom. There are one shorter (2.37 Å) and two longer (2.42 Å) O–W bond lengths. In the fifteenth O site, O is bonded in a distorted trigonal pyramidal geometry to three equivalent Mg and one Si atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.78 Å. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.01 Å. The O–W bond length is 1.78 Å. In the twenty-second O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the twenty-third O site, O is bonded in a bent 120 degrees geometry to two W atoms. Both O–W bond lengths are 2.03 Å. In the twenty-fourth O site, O is bonded in a bent 120 degrees geometry to two W atoms. Both O–W bond lengths are 2.03 Å. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to two W atoms. The O–W bond length is 1.93 Å. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two W atoms. Both O–W bond lengths are 1.93 Å. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to two W atoms. The O–W bond length is 1.93 Å. In the twenty-eighth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the twenty-ninth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the thirtieth O site, O is bonded in a bent 120 degrees geometry to two W atoms. There is one shorter (1.92 Å) and one longer (2.01 Å) O–W bond length. In the thirty-first O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. In the thirty-second O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-third O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–W bond length is 1.82 Å. In the thirty-fourth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-sixth O site, O is bonded in a bent 150 degrees geometry to one Mg and one W atom. The O–Mg bond length is 2.03 Å. The O–W bond length is 1.82 Å. In the thirty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the thirty-eighth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. Both O–Mg bond lengths are 2.12 Å. In the thirty-ninth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the fortieth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the forty-first O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms.

36 MATERIALS SCIENCE↗