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Materials Data on K(WO3)6 by Materials Project

K(WO3)6 crystallizes in the trigonal P-31m space group. The structure is three-dimensional. K1+ is bonded to twelve equivalent O2- atoms to form KO12 cuboctahedra that share edges with twelve equivalent WO6 octahedra. All K–O bond lengths are 3.36 Å. W+5.83+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six equivalent WO6 octahedra and edges with two equivalent KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–30°. There are a spread of W–O bond distances ranging from 1.93–1.96 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two equivalent W+5.83+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two equivalent W+5.83+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two equivalent W+5.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K(WO3)6 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on KLi(WO3)6 by Materials Project

KLi(WO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of K–O bond distances ranging from 3.25–3.54 Å. Li1+ is bonded in a 4-coordinate geometry to nine O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.69 Å. There are six 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 1.92–1.99 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 1–31°. There are a spread of W–O bond distances ranging from 1.91–1.97 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 3–30°. 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 3–30°. There are a spread of W–O bond distances ranging from 1.93–1.97 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 1–31°. There are a spread of W–O bond distances ranging from 1.92–1.99 Å. 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 1–31°. There are a spread of W–O bond distances ranging from 1.92–1.97 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two W+5.67+ atoms. In the second O2- site, O2- is bonded in a 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 bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the fifth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two W+5.67+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two W+5.67+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one K1+ and two 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 T-shaped geometry to one Li1+ and two W+5.67+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the sixteenth O2- site, O2- is bonded in a T-shaped geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the seventeenth O2- site, O2- is bonded in a T-shaped geometry to one K1+, one Li1+, and two W+5.67+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on K(WO3)3 by Materials Project

K(WO3)3 crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are two shorter (3.11 Å) and four longer (3.15 Å) K–O bond lengths. There are two inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 0–31°. There is two shorter (1.94 Å) and four longer (1.95 Å) W–O bond length. 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 0–33°. There are a spread of W–O bond distances ranging from 1.94–1.96 Å. There are four 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 equivalent W+5.67+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two equivalent W+5.67+ atoms. In the fourth 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 3.11–3.17 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 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 K3Al3Si3(WO3)4 by Materials Project

(W)3K6W5Al6Si6O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of three tungsten molecules and one K6W5Al6Si6O24 framework. In the K6W5Al6Si6O24 framework, there are six inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.73–2.95 Å. In the second K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.69–3.38 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 2.85–3.01 Å. In the fourth K1+ site, K1+ is bonded in a hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.66–2.87 Å. In the fifth K1+ site, K1+ is bonded in a hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.66–2.87 Å. In the sixth K1+ site, K1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.75–3.00 Å. There are five inequivalent W2+ sites. In the first W2+ site, W2+ is bonded in a distorted single-bond geometry to one O2- atom. The W–O bond length is 2.24 Å. In the second W2+ site, W2+ is bonded in a single-bond geometry to one O2- atom. The W–O bond length is 2.30 Å. In the third W2+ site, W2+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (2.28 Å) and one longer (2.32 Å) W–O bond lengths. In the fourth W2+ site, W2+ is bonded in a single-bond geometry to one O2- atom. The W–O bond length is 2.39 Å. In the fifth W2+ site, W2+ is bonded in a single-bond geometry to one O2- atom. The W–O bond length is 2.42 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.83 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.85 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.81 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.84 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.76–1.84 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four SiO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.77–1.82 Å. There are six inequivalent Si+1.33+ sites. In the first Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. In the second Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There is three shorter (1.64 Å) and one longer (1.69 Å) Si–O bond length. In the third Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourth Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fifth Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.71 Å. In the sixth Si+1.33+ site, Si+1.33+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four AlO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.63–1.70 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+, one Al3+, and one Si+1.33+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Al3+, and one Si+1.33+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one W2+, one Al3+, and one Si+1.33+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two K1+, one Al3+, and one Si+1.33+ 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 two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form distorted KO12 cuboctahedra that share edges with twelve WO6 octahedra and faces with two equivalent KO12 cuboctahedra. There are a spread of K–O bond distances ranging from 3.23–3.48 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form distorted KO12 cuboctahedra that share edges with twelve WO6 octahedra and faces with two equivalent KO12 cuboctahedra. There are a spread of K–O bond distances ranging from 3.22–3.48 Å. There are six inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–32°. There are a spread of W–O bond distances ranging from 1.93–2.00 Å. In the second W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–33°. There are a spread of W–O bond distances ranging from 1.90–1.97 Å. In the third W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–32°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the fourth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–33°. There are a spread of W–O bond distances ranging from 1.92–1.96 Å. In the fifth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–33°. There are a spread of W–O bond distances ranging from 1.94–2.01 Å. In the sixth W+5.67+ site, W+5.67+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO6 octahedra and edges with four KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–32°. There are a spread of W–O bond distances ranging from 1.90–1.97 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the fifth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two K1+ and two W+5.67+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two W+5.67+ atoms.

36 MATERIALS SCIENCE↗