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Materials Data on Li5Mg11(WO4)12 by Materials Project

Li5Mg11(WO4)12 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.20–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.18–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.16–2.28 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with six WO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.19–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. There are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.07 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mg–O bond distances ranging from 2.07–2.19 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.18 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six WO4 tetrahedra and faces with two equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Mg–O bond distances ranging from 2.03–2.25 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six WO4 tetrahedra, and edges with two equivalent MgO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mg–O bond distances ranging from 2.05–2.19 Å. There are eight inequivalent W+5.75+ sites. In the first W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 34–64°. There are a spread of W–O bond distances ranging from 1.85–1.92 Å. In the second W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the third W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of W–O bond distances ranging from 1.80–1.84 Å. In the fourth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 32–62°. There are a spread of W–O bond distances ranging from 1.87–1.92 Å. In the fifth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with seven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 22–62°. There are a spread of W–O bond distances ranging from 1.79–1.86 Å. In the sixth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four MgO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–61°. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. In the seventh W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with five MgO6 octahedra and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–60°. There are a spread of W–O bond distances ranging from 1.79–1.85 Å. In the eighth W+5.75+ site, W+5.75+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 33–63°. There are a spread of W–O bond distances ranging from 1.89–1.91 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mg2+, and one W+5.75+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mg2+ and one W+5.75+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one W+5.75+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to two equivalent Mg2+ and one W+5.75+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mg2+, and one W+5.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on In2(WO4)3 by Materials Project

In2(WO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are six inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 19–40°. There are a spread of W–O bond distances ranging from 1.80–1.82 Å. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 22–46°. There are a spread of W–O bond distances ranging from 1.81–1.83 Å. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 12–39°. There are a spread of W–O bond distances ranging from 1.80–1.82 Å. In the fourth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 18–44°. There is two shorter (1.81 Å) and two longer (1.82 Å) W–O bond length. In the fifth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 13–43°. There is one shorter (1.80 Å) and three longer (1.82 Å) W–O bond length. In the sixth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four InO6 octahedra. The corner-sharing octahedra tilt angles range from 14–34°. There is three shorter (1.81 Å) and one longer (1.82 Å) W–O bond length. There are four inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.15–2.19 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.15–2.20 Å. In the third In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.13–2.18 Å. In the fourth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of In–O bond distances ranging from 2.13–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one W6+ and one In3+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the fourth O2- site, O2- is bonded in a linear geometry to one W6+ and one In3+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W6+ and one In3+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W6+ and one In3+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one W6+ and one In3+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one W6+ and one In3+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W6+ and one In3+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom. In the twenty-third O2- site, O2- is bonded in a linear geometry to one W6+ and one In3+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one In3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Al2(WO4)3 by Materials Project

Al2(WO4)3 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are six inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 12–36°. There are a spread of W–O bond distances ranging from 1.80–1.82 Å. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 9–36°. All W–O bond lengths are 1.81 Å. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of W–O bond distances ranging from 1.79–1.81 Å. In the fourth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 10–36°. All W–O bond lengths are 1.81 Å. In the fifth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 6–37°. There are a spread of W–O bond distances ranging from 1.80–1.82 Å. In the sixth W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 11–34°. All W–O bond lengths are 1.81 Å. There are four inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.95 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.92 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.93 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Al–O bond distances ranging from 1.88–1.93 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the third O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the ninth O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Al3+ atom. In the twenty-third O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom. In the twenty-fourth O2- site, O2- is bonded in a linear geometry to one W6+ and one Al3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on K4Mg(WO4)3 by Materials Project

K4Mg(WO4)3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to six O2- atoms to form KO6 octahedra that share a cornercorner with one KO6 octahedra, corners with six WO4 tetrahedra, and an edgeedge with one KO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of K–O bond distances ranging from 2.66–2.93 Å. In the second K1+ site, K1+ is bonded to six O2- atoms to form KO6 octahedra that share corners with two equivalent KO6 octahedra and corners with six WO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of K–O bond distances ranging from 2.78–2.90 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 2.64–2.90 Å. In the fourth K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.78–3.43 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 2.86–3.10 Å. Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share corners with five WO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four KO6 octahedra and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 30–60°. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three KO6 octahedra and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 44–63°. There are a spread of W–O bond distances ranging from 1.80–1.84 Å. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with two KO6 octahedra and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 51–56°. There is two shorter (1.81 Å) and two longer (1.84 Å) W–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Mg2+, and one W6+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one W6+ atom. In the third O2- site, O2- is bonded to three K1+ and one W6+ atom to form distorted edge-sharing OK3W trigonal pyramids. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three K1+ and one W6+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two K1+, one Mg2+, and one W6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Mg2+, and one W6+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent K1+, one Mg2+, and one W6+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three K1+ and one W6+ atom. In the tenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mg2+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two K1+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one W6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Tb2(WO4)3 by Materials Project

Tb2(WO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Tb–O bond distances ranging from 2.26–2.30 Å. In the second Tb3+ site, Tb3+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Tb–O bond distances ranging from 2.25–2.30 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four TbO6 octahedra. The corner-sharing octahedra tilt angles range from 11–33°. All W–O bond lengths are 1.81 Å. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four TbO6 octahedra. The corner-sharing octahedra tilt angles range from 7–34°. There is two shorter (1.81 Å) and two longer (1.82 Å) W–O bond length. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four TbO6 octahedra. The corner-sharing octahedra tilt angles range from 10–35°. All W–O bond lengths are 1.81 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na3Mg2(WO4)3 by Materials Project

Na3Mg2(WO4)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–2.45 Å. In the second Na1+ site, Na1+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.42–2.69 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent MgO6 octahedra, corners with four equivalent WO4 tetrahedra, edges with two equivalent MgO6 octahedra, edges with two equivalent NaO6 pentagonal pyramids, and an edgeedge with one WO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Na–O bond distances ranging from 2.50–2.64 Å. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one NaO6 pentagonal pyramid, corners with six WO4 tetrahedra, an edgeedge with one MgO6 octahedra, and an edgeedge with one NaO6 pentagonal pyramid. There are a spread of Mg–O bond distances ranging from 2.06–2.32 Å. There are two inequivalent W+5.67+ sites. In the first W+5.67+ site, W+5.67+ is bonded to four O2- atoms to form distorted WO4 tetrahedra that share corners with four equivalent MgO6 octahedra and an edgeedge with one NaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 60–65°. There is two shorter (1.88 Å) and two longer (1.91 Å) W–O bond length. In the second W+5.67+ site, W+5.67+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent MgO6 octahedra and corners with two equivalent NaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of W–O bond distances ranging from 1.78–1.85 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one W+5.67+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mg2+, and one W+5.67+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one W+5.67+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Mg2+, and one W+5.67+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mg2+, and one W+5.67+ atom. In the sixth O2- site, O2- is bonded to two equivalent Na1+, one Mg2+, and one W+5.67+ atom to form a mixture of distorted edge and corner-sharing ONa2MgW trigonal pyramids.

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Materials Data on Sm2(WO4)3 by Materials Project

Sm2(WO4)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Sm–O bond distances ranging from 2.31–2.35 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Sm–O bond distances ranging from 2.31–2.36 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 12–33°. There is three shorter (1.81 Å) and one longer (1.82 Å) W–O bond length. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 6–34°. There is one shorter (1.81 Å) and three longer (1.82 Å) W–O bond length. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 11–34°. There is three shorter (1.81 Å) and one longer (1.82 Å) W–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Sm3+ and one W6+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Sm3+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sm3+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Sm3+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to one Sm3+ and one W6+ atom.

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Materials Data on Tb2(WO4)3 by Materials Project

Tb2(WO4)3 crystallizes in the orthorhombic Pba2 space group. The structure is three-dimensional. there are two inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.27–2.46 Å. In the second Tb3+ site, Tb3+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with seven WO4 tetrahedra and an edgeedge with one TbO7 pentagonal bipyramid. There are a spread of Tb–O bond distances ranging from 2.25–2.47 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent TbO7 pentagonal bipyramids. There is three shorter (1.81 Å) and one longer (1.85 Å) W–O bond length. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share a cornercorner with one TbO7 pentagonal bipyramid. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with two equivalent TbO7 pentagonal bipyramids. All W–O bond lengths are 1.81 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Tb3+ and one W6+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Tb3+ and one W6+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Tb3+ and one W6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Tb3+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to one Tb3+ and one W6+ atom.

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Materials Data on Ho2(WO4)3 by Materials Project

Ho2W3O12 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Ho–O bond distances ranging from 2.23–2.27 Å. In the second Ho3+ site, Ho3+ is bonded to six O2- atoms to form HoO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Ho–O bond distances ranging from 2.22–2.28 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 12–34°. There is three shorter (1.81 Å) and one longer (1.82 Å) W–O bond length. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–35°. There is one shorter (1.81 Å) and three longer (1.82 Å) W–O bond length. In the third W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four HoO6 octahedra. The corner-sharing octahedra tilt angles range from 11–35°. There is three shorter (1.81 Å) and one longer (1.82 Å) W–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one Ho3+ and one W6+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Ho3+ and one W6+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ho3+ and one W6+ atom. In the eleventh O2- site, O2- is bonded in a linear geometry to one Ho3+ and one W6+ atom. In the twelfth O2- site, O2- is bonded in a linear geometry to one Ho3+ and one W6+ atom.

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Materials Data on Li2Fe2(WO4)3 by Materials Project

Li2Fe2(WO4)3 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four WO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. There are two inequivalent W+5.33+ sites. In the first W+5.33+ site, W+5.33+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent FeO6 octahedra and corners with three equivalent LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 18–49°. There are a spread of W–O bond distances ranging from 1.79–1.83 Å. In the second W+5.33+ site, W+5.33+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent FeO6 octahedra and corners with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 22–40°. There is two shorter (1.80 Å) and two longer (1.83 Å) W–O bond length. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six WO4 tetrahedra and edges with two equivalent LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 2.08–2.21 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one W+5.33+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W+5.33+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W+5.33+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one W+5.33+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one W+5.33+ and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W+5.33+ and one Fe3+ atom.

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Materials Data on Na5Nd(WO4)4 by Materials Project

NdNa5(WO4)4 crystallizes in the tetragonal I4_1/a space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent NaO4 tetrahedra, corners with six equivalent WO4 tetrahedra, and edges with two equivalent NaO6 pentagonal pyramids. There are a spread of Na–O bond distances ranging from 2.32–2.64 Å. In the second Na1+ site, Na1+ is bonded to four equivalent O2- atoms to form distorted NaO4 tetrahedra that share corners with eight equivalent NaO6 pentagonal pyramids and corners with four equivalent WO4 tetrahedra. All Na–O bond lengths are 2.46 Å. Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.46 Å) and four longer (2.48 Å) Nd–O bond lengths. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with six equivalent NaO6 pentagonal pyramids and a cornercorner with one NaO4 tetrahedra. There are a spread of W–O bond distances ranging from 1.80–1.85 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and one W6+ atom to form distorted corner-sharing ONa3W tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Nd3+, and one W6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Na1+ and one W6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+, one Nd3+, and one W6+ atom.

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Materials Data on RbIn(WO4)2 by Materials Project

RbIn(WO4)2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Rb1+ is bonded to twelve O2- atoms to form RbO12 cuboctahedra that share edges with six equivalent RbO12 cuboctahedra, edges with six equivalent WO4 tetrahedra, and faces with two equivalent InO6 octahedra. There are six shorter (3.15 Å) and six longer (3.47 Å) Rb–O bond lengths. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three equivalent InO6 octahedra and edges with three equivalent RbO12 cuboctahedra. The corner-sharing octahedral tilt angles are 20°. There is one shorter (1.78 Å) and three longer (1.83 Å) W–O bond length. In3+ is bonded to six equivalent O2- atoms to form InO6 octahedra that share corners with six equivalent WO4 tetrahedra and faces with two equivalent RbO12 cuboctahedra. All In–O bond lengths are 2.16 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one W6+, and one In3+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three equivalent Rb1+ and one W6+ atom.

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Materials Data on Cr2(WO4)3 by Materials Project

Cr2(WO4)3 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 23–41°. There are a spread of W–O bond distances ranging from 1.80–1.82 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six equivalent WO4 tetrahedra. There is three shorter (1.99 Å) and three longer (2.00 Å) Cr–O bond length. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six equivalent WO4 tetrahedra. There are three shorter (2.00 Å) and three longer (2.02 Å) Cr–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom.

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Materials Data on Cr2(WO4)3 by Materials Project

Cr2(WO4)3 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. there are two inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 4–38°. All W–O bond lengths are 1.81 Å. In the second W6+ site, W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 12–31°. All W–O bond lengths are 1.81 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six WO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.01 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the second O2- site, O2- is bonded in a linear geometry to one W6+ and one Cr3+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the fourth O2- site, O2- is bonded in a linear geometry to one W6+ and one Cr3+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one W6+ and one Cr3+ atom.

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Materials Data on RbYb(WO4)2 by Materials Project

RbYb(WO4)2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Rb1+ is bonded to twelve O2- atoms to form RbO12 cuboctahedra that share edges with six equivalent RbO12 cuboctahedra, edges with six equivalent WO4 tetrahedra, and faces with two equivalent YbO6 octahedra. There are six shorter (3.30 Å) and six longer (3.59 Å) Rb–O bond lengths. Yb3+ is bonded to six equivalent O2- atoms to form YbO6 octahedra that share corners with six equivalent WO4 tetrahedra and faces with two equivalent RbO12 cuboctahedra. All Yb–O bond lengths are 2.29 Å. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three equivalent YbO6 octahedra and edges with three equivalent RbO12 cuboctahedra. The corner-sharing octahedral tilt angles are 18°. There is one shorter (1.80 Å) and three longer (1.82 Å) W–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Rb1+, one Yb3+, and one W6+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three equivalent Rb1+ and one W6+ atom.

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Materials Data on KSc(WO4)2 by Materials Project

KSc(WO4)2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share edges with six equivalent KO12 cuboctahedra, edges with six equivalent WO4 tetrahedra, and faces with two equivalent ScO6 octahedra. There are six shorter (3.13 Å) and six longer (3.44 Å) K–O bond lengths. Sc3+ is bonded to six equivalent O2- atoms to form ScO6 octahedra that share corners with six equivalent WO4 tetrahedra and faces with two equivalent KO12 cuboctahedra. All Sc–O bond lengths are 2.10 Å. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three equivalent ScO6 octahedra and edges with three equivalent KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 18°. There is one shorter (1.78 Å) and three longer (1.83 Å) W–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one K1+, one Sc3+, and one W6+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three equivalent K1+ and one W6+ atom.

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Materials Data on Rb2Mg2(WO4)3 by Materials Project

Rb2Mg2(WO4)3 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent Rb1+ sites. In the first Rb1+ site, Rb1+ is bonded in a 3-coordinate geometry to three equivalent O2- atoms. All Rb–O bond lengths are 3.13 Å. In the second Rb1+ site, Rb1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Rb–O bond distances ranging from 3.22–3.30 Å. There are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent WO4 tetrahedra. There are three shorter (2.10 Å) and three longer (2.11 Å) Mg–O bond lengths. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent WO4 tetrahedra. There are three shorter (2.09 Å) and three longer (2.10 Å) Mg–O bond lengths. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 12–48°. There is two shorter (1.81 Å) and two longer (1.82 Å) W–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Rb1+, one Mg2+, and one W6+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Rb1+, one Mg2+, and one W6+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Rb1+, one Mg2+, and one W6+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Rb1+, one Mg2+, and one W6+ atom.

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Materials Data on CsSc(WO4)2 by Materials Project

CsSc(WO4)2 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. Cs1+ is bonded to twelve O2- atoms to form CsO12 cuboctahedra that share edges with six equivalent CsO12 cuboctahedra, edges with six equivalent WO4 tetrahedra, and faces with two equivalent ScO6 octahedra. There are six shorter (3.25 Å) and six longer (3.45 Å) Cs–O bond lengths. Sc3+ is bonded to six equivalent O2- atoms to form ScO6 octahedra that share corners with six equivalent WO4 tetrahedra and faces with two equivalent CsO12 cuboctahedra. All Sc–O bond lengths are 2.11 Å. W6+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three equivalent ScO6 octahedra and edges with three equivalent CsO12 cuboctahedra. The corner-sharing octahedral tilt angles are 19°. There is one shorter (1.78 Å) and three longer (1.83 Å) W–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cs1+, one Sc3+, and one W6+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to three equivalent Cs1+ and one W6+ atom.

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