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Materials Data on K(Nb2Cl5)4 by Materials Project

K(Nb2Cl5)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a distorted q6 geometry to ten Cl1- atoms. There are a spread of K–Cl bond distances ranging from 3.29–3.49 Å. In the second K1+ site, K1+ is bonded in a distorted q6 geometry to ten Cl1- atoms. There are a spread of K–Cl bond distances ranging from 3.28–3.49 Å. In the third K1+ site, K1+ is bonded in a distorted q6 geometry to ten Cl1- atoms. There are a spread of K–Cl bond distances ranging from 3.29–3.48 Å. There are fourteen inequivalent Nb+2.38+ sites. In the first Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.44–2.70 Å. In the second Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.70 Å. In the third Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.71 Å. In the fourth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.70 Å. In the fifth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.64 Å. In the sixth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are four shorter (2.49 Å) and one longer (2.67 Å) Nb–Cl bond lengths. In the seventh Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.69 Å. In the eighth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.47–2.70 Å. In the ninth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.47–2.70 Å. In the tenth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.69 Å. In the eleventh Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form distorted corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.46–2.81 Å. In the twelfth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.44–2.78 Å. In the thirteenth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are a spread of Nb–Cl bond distances ranging from 2.44–2.67 Å. In the fourteenth Nb+2.38+ site, Nb+2.38+ is bonded to five Cl1- atoms to form corner-sharing NbCl5 square pyramids. There are four shorter (2.46 Å) and one longer (2.70 Å) Nb–Cl bond lengths. There are thirty-four inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two equivalent Nb+2.38+ atoms. In the second Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two equivalent Nb+2.38+ atoms. In the third Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two equivalent Nb+2.38+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two equivalent Nb+2.38+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the eighth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the ninth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the tenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one K1+ and two Nb+2.38+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a distorted linear geometry to two K1+ and two Nb+2.38+ atoms. In the thirteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the sixteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the seventeenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the eighteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the nineteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the twentieth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the twenty-first Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the twenty-second Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the twenty-third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the twenty-fourth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the twenty-fifth Cl1- site, Cl1- is bonded in a distorted T-shaped geometry to one K1+ and two equivalent Nb+2.38+ atoms. In the twenty-sixth Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to two K1+ and two equivalent Nb+2.38+ atoms. In the twenty-seventh Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.38+ atoms. In the twenty-eighth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the twenty-ninth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the thirtieth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to one K1+ and two Nb+2.38+ atoms. In the thirty-first Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.38+ atoms. In the thirty-second Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.38+ atoms. In the thirty-third Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.38+ atoms. In the thirty-fourth Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.38+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti9O8 by Materials Project

Ti9O8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one TiO5 square pyramid, edges with two TiO6 octahedra, and edges with ten TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Ti–O bond distances ranging from 2.07–2.17 Å. In the second Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with nine TiO5 square pyramids, edges with four TiO6 octahedra, and edges with four TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.12–2.25 Å. In the third Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with three TiO6 octahedra, corners with six TiO5 square pyramids, edges with three TiO6 octahedra, and edges with five TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.13–2.25 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five TiO5 square pyramids, edges with three TiO6 octahedra, and edges with nine TiO5 square pyramids. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ti–O bond distances ranging from 2.10–2.24 Å. In the fifth Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with three TiO6 octahedra, corners with six TiO5 square pyramids, edges with four TiO6 octahedra, and edges with four TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Ti–O bond distances ranging from 2.13–2.20 Å. In the sixth Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with nine TiO5 square pyramids, edges with five TiO6 octahedra, and edges with three TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.16–2.22 Å. In the seventh Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with seven TiO5 square pyramids, edges with five TiO6 octahedra, and edges with three TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Ti–O bond distances ranging from 2.17–2.26 Å. In the eighth Ti site, Ti is bonded to five O atoms to form TiO5 square pyramids that share corners with two TiO6 octahedra, corners with seven TiO5 square pyramids, edges with five TiO6 octahedra, and edges with three TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 17–18°. There are a spread of Ti–O bond distances ranging from 2.13–2.21 Å. In the ninth Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four TiO5 square pyramids, edges with five TiO6 octahedra, and edges with seven TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Ti–O bond distances ranging from 2.08–2.21 Å. There are nine inequivalent O sites. In the first O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. In the second O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. In the third O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. In the fourth O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. In the fifth O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. In the sixth O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. In the seventh O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. In the eighth O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. In the ninth O site, O is bonded to six Ti atoms to form a mixture of edge and corner-sharing OTi6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°.

36 MATERIALS SCIENCE↗

Materials Data on Zr4N2O5 by Materials Project

Zr4N2O5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrNO6 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are one shorter (2.16 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.33 Å. In the second Zr4+ site, Zr4+ is bonded to one N3- and six O2- atoms to form distorted ZrNO6 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. The Zr–N bond length is 2.23 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.24 Å. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of corner and edge-sharing ZrN3O3 octahedra. There are a spread of Zr–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.17 Å) and two longer (2.26 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are one shorter (2.11 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.34 Å. In the fifth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are one shorter (2.14 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.29 Å. In the sixth Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to two N3- and six O2- atoms. There are one shorter (2.22 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.22–2.42 Å. In the seventh Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.13–2.37 Å. In the eighth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrNO6 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are one shorter (2.17 Å) and one longer (2.20 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.11–2.33 Å. In the ninth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrNO6 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.27 Å. In the tenth Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrNO6 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are a spread of Zr–N bond distances ranging from 2.18–2.27 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.32 Å. In the eleventh Zr4+ site, Zr4+ is bonded in a body-centered cubic geometry to one N3- and seven O2- atoms. The Zr–N bond length is 2.22 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.36 Å. In the twelfth Zr4+ site, Zr4+ is bonded to three N3- and four O2- atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrNO6 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are two shorter (2.19 Å) and one longer (2.29 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.15–2.30 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrNO6 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.14 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.32 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to two N3- and five O2- atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN3O3 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN2O4 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to one N3- and six O2- atoms to form distorted ZrNO6 pentagonal bipyramids that share a cornercorner with one ZrN2O4 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN3O3 octahedra, and edges with six ZrNO6 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. The Zr–N bond length is 2.22 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.25 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing ZrN2O4 octahedra. There are one shorter (2.08 Å) and one longer (2.16 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.15–2.25 Å. There are eight inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with ten OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three OZr4 tetrahedra. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, corners with twelve OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one NZr4 tetrahedra, corners with twelve OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, and edges with five OZr4 tetrahedra. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with seven OZr4 tetrahedra, corners with two NZr4 trigonal pyramids, edges with three OZr4 tetrahedra, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four NZr4 tetrahedra, corners with nine OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, edges with two OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with eight OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with two NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with four OZr4 tetrahedra. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with ten OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, and edges with three OZr4 tetrahedra. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with ten OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, edges with three OZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with five OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, edges with four OZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with seven OZr4 tetrahedra, corners with two NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, edges with four OZr4 tetrahedra, and an edgeedge with one OZr4 trigonal pyramid. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with five OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, a cornercorner with one OZr4 trigonal pyramid, an edgeedge with one NZr4 tetrahedra, edges with three OZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with eight OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with two NZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with three OZr4 tetrahedra. In the fifth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with ten OZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, corners with two OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two OZr4 tetrahedra. In the sixth O2- site, O2- is bonded to four Zr4+ atoms to form OZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with eight OZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with two NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with four OZr4 tetrahedra. In the seventh O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with three NZr4 tetrahedra, corners with ten OZr4 tetrahedra, corners with two OZr4 trigonal pyramid

36 MATERIALS SCIENCE↗

Materials Data on Al23B50 by Materials Project

Al23B50 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Al sites. In the first Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.31–2.47 Å. In the second Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.31–2.48 Å. In the third Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.34–2.42 Å. In the fourth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.29–2.47 Å. In the fifth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.31–2.47 Å. In the sixth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.31–2.48 Å. In the seventh Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.34–2.40 Å. In the eighth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.33–2.44 Å. In the ninth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.29–2.44 Å. In the tenth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.31–2.44 Å. In the eleventh Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.33–2.41 Å. In the twelfth Al site, Al is bonded to twelve B atoms to form a mixture of edge and face-sharing AlB12 cuboctahedra. There are a spread of Al–B bond distances ranging from 2.35–2.41 Å. There are twenty-five inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is two shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the second B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the third B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. There is one shorter (1.73 Å) and two longer (1.74 Å) B–B bond length. In the fourth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the fifth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. The B–B bond length is 1.74 Å. In the sixth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. All B–B bond lengths are 1.73 Å. In the seventh B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the eighth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. Both B–B bond lengths are 1.73 Å. In the ninth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the tenth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.75 Å) B–B bond length. In the eleventh B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. The B–B bond length is 1.73 Å. In the twelfth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the thirteenth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. The B–B bond length is 1.76 Å. In the fourteenth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.72 Å) and one longer (1.73 Å) B–B bond length. In the fifteenth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. The B–B bond length is 1.73 Å. In the sixteenth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.74 Å) B–B bond length. In the seventeenth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. The B–B bond length is 1.74 Å. In the eighteenth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. The B–B bond length is 1.73 Å. In the nineteenth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. The B–B bond length is 1.73 Å. In the twentieth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. There is one shorter (1.73 Å) and one longer (1.75 Å) B–B bond length. In the twenty-first B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. In the twenty-second B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. There is one shorter (1.72 Å) and one longer (1.73 Å) B–B bond length. In the twenty-third B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. In the twenty-fourth B site, B is bonded in a 8-coordinate geometry to five Al and three B atoms. In the twenty-fifth B site, B is bonded in a 9-coordinate geometry to six Al and three B atoms. The B–B bond length is 1.73 Å.

36 MATERIALS SCIENCE↗

Materials Data on Al24Zn3O40 by Materials Project

Zn3Al24O40 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Zn sites. In the first Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.94 Å) and one longer (2.00 Å) Zn–O bond length. In the second Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There is one shorter (1.90 Å) and three longer (1.92 Å) Zn–O bond length. In the third Zn site, Zn is bonded to four O atoms to form ZnO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is one shorter (1.95 Å) and three longer (1.97 Å) Zn–O bond length. There are nineteen inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent ZnO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.95 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three ZnO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.00 Å. In the third Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Al–O bond distances ranging from 1.78–1.83 Å. In the fourth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three ZnO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.00 Å. In the fifth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.02 Å. In the sixth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–58°. There is three shorter (1.78 Å) and one longer (1.91 Å) Al–O bond length. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.01 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–1.99 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.98 Å. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.99 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent ZnO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.03 Å. In the twelfth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–61°. There is one shorter (1.78 Å) and three longer (1.87 Å) Al–O bond length. In the thirteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There is three shorter (1.76 Å) and one longer (1.81 Å) Al–O bond length. In the fourteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Al–O bond distances ranging from 1.80–1.87 Å. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.97 Å. In the sixteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.04 Å. In the seventeenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is three shorter (1.77 Å) and one longer (1.89 Å) Al–O bond length. In the eighteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.04 Å. In the nineteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Al–O bond distances ranging from 1.83–1.86 Å. There are thirty inequivalent O sites. In the first O site, O is bonded to one Zn and three Al atoms to form a mixture of distorted edge and corner-sharing OAl3Zn trigonal pyramids. In the second O site, O is bonded to one Zn and three Al atoms to form distorted edge-sharing OAl3Zn tetrahedra. In the third O site, O is bonded to one Zn and three Al atoms to form a mixture of distorted edge and corner-sharing OAl3Zn trigonal pyramids. In the fourth O site, O is bonded in a trigonal planar geometry to one Zn and two Al atoms. In the fifth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the ninth O site, O is bonded in a trigonal planar geometry to one Zn and two equivalent Al atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the eleventh O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the twelfth O site, O is bonded in a trigonal planar geometry to one Zn and two equivalent Al atoms. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded to one Zn and three Al atoms to form distorted OAl3Zn tetrahedra that share corners with two OAl3Zn tetrahedra, edges with two OAl3Zn tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighteenth O site, O is bonded to four Al atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twentieth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-first O site, O is bonded to one Zn and three Al atoms to form distorted OAl3Zn tetrahedra that share corners with two equivalent OAl3Zn tetrahedra, edges with two equivalent OAl3Zn tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to three Al atoms. In the twenty-third O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-fifth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Zn and three Al atoms. In the twenty-seventh O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-ninth O site, O is bonded in a distorted tetrahedral geometry to four Al atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca20Er10F69 by Materials Project

Ca20Er10F69 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eleven inequivalent Ca sites. In the first Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.38–2.89 Å. In the second Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.38–2.81 Å. In the third Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.37–2.93 Å. In the fourth Ca site, Ca is bonded in a 10-coordinate geometry to seven F atoms. There are a spread of Ca–F bond distances ranging from 2.32–2.60 Å. In the fifth Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.32–2.95 Å. In the sixth Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.38–2.84 Å. In the seventh Ca site, Ca is bonded in a 10-coordinate geometry to ten F atoms. There are a spread of Ca–F bond distances ranging from 2.32–2.91 Å. In the eighth Ca site, Ca is bonded in a 7-coordinate geometry to seven F atoms. There are a spread of Ca–F bond distances ranging from 2.32–2.58 Å. In the ninth Ca site, Ca is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of Ca–F bond distances ranging from 2.28–2.43 Å. In the tenth Ca site, Ca is bonded in a body-centered cubic geometry to eight F atoms. All Ca–F bond lengths are 2.37 Å. In the eleventh Ca site, Ca is bonded in a body-centered cubic geometry to eight F atoms. All Ca–F bond lengths are 2.36 Å. There are five inequivalent Er sites. In the first Er site, Er is bonded in a 8-coordinate geometry to nine F atoms. There are a spread of Er–F bond distances ranging from 2.22–3.00 Å. In the second Er site, Er is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Er–F bond distances ranging from 2.18–2.89 Å. In the third Er site, Er is bonded in a 9-coordinate geometry to nine F atoms. There are a spread of Er–F bond distances ranging from 2.18–2.89 Å. In the fourth Er site, Er is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of Er–F bond distances ranging from 2.20–2.32 Å. In the fifth Er site, Er is bonded in a 8-coordinate geometry to eight F atoms. There are a spread of Er–F bond distances ranging from 2.20–2.32 Å. There are thirty-five inequivalent F sites. In the first F site, F is bonded in a 4-coordinate geometry to three Ca and one Er atom. In the second F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with eleven FCa3Er tetrahedra, and edges with five FCa3Er tetrahedra. The corner-sharing octahedral tilt angles are 56°. In the third F site, F is bonded to three Ca and one Er atom to form a mixture of corner and edge-sharing FCa3Er tetrahedra. In the fourth F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with eleven FCa3Er tetrahedra, and edges with five FCa3Er tetrahedra. The corner-sharing octahedral tilt angles are 56°. In the fifth F site, F is bonded in a 2-coordinate geometry to two Ca and two Er atoms. In the sixth F site, F is bonded to three Ca and one Er atom to form a mixture of corner and edge-sharing FCa3Er tetrahedra. In the seventh F site, F is bonded to two Ca and two equivalent Er atoms to form FCa2Er2 tetrahedra that share corners with two equivalent FEr6 octahedra, corners with ten FCa3Er tetrahedra, and edges with four FCa2Er2 tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the eighth F site, F is bonded to four Ca atoms to form a mixture of corner and edge-sharing FCa4 tetrahedra. In the ninth F site, F is bonded to two Ca and two equivalent Er atoms to form a mixture of corner and edge-sharing FCa2Er2 tetrahedra. In the tenth F site, F is bonded in a distorted bent 150 degrees geometry to two Er atoms. In the eleventh F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with eleven FCa3Er tetrahedra, and edges with five FCa4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the twelfth F site, F is bonded in a distorted bent 150 degrees geometry to one Ca and two Er atoms. In the thirteenth F site, F is bonded to three Ca and one Er atom to form a mixture of corner and edge-sharing FCa3Er tetrahedra. In the fourteenth F site, F is bonded in a distorted bent 150 degrees geometry to one Ca and two Er atoms. In the fifteenth F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with eleven FCa3Er tetrahedra, and edges with five FCa3Er tetrahedra. The corner-sharing octahedral tilt angles are 56°. In the sixteenth F site, F is bonded in a 2-coordinate geometry to one Ca and two Er atoms. In the seventeenth F site, F is bonded to four Ca atoms to form FCa4 tetrahedra that share corners with eleven FCa3Er tetrahedra and edges with five FCa4 tetrahedra. In the eighteenth F site, F is bonded to three Ca and one Er atom to form a mixture of corner and edge-sharing FCa3Er tetrahedra. In the nineteenth F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with twelve FCa3Er tetrahedra, and edges with five FCa2Er2 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the twentieth F site, F is bonded in a 2-coordinate geometry to one Ca and two Er atoms. In the twenty-first F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with twelve FCa2Er2 tetrahedra, and edges with five FCa2Er2 tetrahedra. The corner-sharing octahedral tilt angles are 53°. In the twenty-second F site, F is bonded in a 4-coordinate geometry to three Ca and one Er atom. In the twenty-third F site, F is bonded to four Ca atoms to form FCa4 tetrahedra that share corners with eleven FCa3Er tetrahedra and edges with five FCa4 tetrahedra. In the twenty-fourth F site, F is bonded to four Ca atoms to form a mixture of corner and edge-sharing FCa4 tetrahedra. In the twenty-fifth F site, F is bonded in a 4-coordinate geometry to three Ca and one Er atom. In the twenty-sixth F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with twelve FCa3Er tetrahedra, and edges with five FCa3Er tetrahedra. The corner-sharing octahedral tilt angles are 53°. In the twenty-seventh F site, F is bonded to three Ca and one Er atom to form FCa3Er tetrahedra that share a cornercorner with one FEr6 octahedra, corners with twelve FCa2Er2 tetrahedra, and edges with five FCa3Er tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the twenty-eighth F site, F is bonded to two Ca and two equivalent Er atoms to form a mixture of corner and edge-sharing FCa2Er2 tetrahedra. In the twenty-ninth F site, F is bonded to four Ca atoms to form FCa4 tetrahedra that share corners with eleven FCa2Er2 tetrahedra and edges with five FCa3Er tetrahedra. In the thirtieth F site, F is bonded to four Ca atoms to form a mixture of corner and edge-sharing FCa4 tetrahedra. In the thirty-first F site, F is bonded in a 4-coordinate geometry to three Ca and one Er atom. In the thirty-second F site, F is bonded to two Ca and two equivalent Er atoms to form FCa2Er2 tetrahedra that share corners with two equivalent FEr6 octahedra, corners with ten FCa4 tetrahedra, and edges with four FCa3Er tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. In the thirty-third F site, F is bonded in a 2-coordinate geometry to two Ca and two Er atoms. In the thirty-fourth F site, F is bonded in a 2-coordinate geometry to two Ca and two Er atoms. In the thirty-fifth F site, F is bonded to six Er atoms to form corner-sharing FEr6 octahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ni6Se5 by Materials Project

Ni6Se5 crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are twelve inequivalent Ni+1.67+ sites. In the first Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form distorted NiSe5 trigonal bipyramids that share corners with four NiSe4 tetrahedra, corners with ten NiSe5 trigonal bipyramids, edges with four NiSe5 trigonal bipyramids, and a faceface with one NiSe5 trigonal bipyramid. There are a spread of Ni–Se bond distances ranging from 2.39–2.49 Å. In the second Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form distorted NiSe5 trigonal bipyramids that share corners with four NiSe4 tetrahedra, corners with ten NiSe5 trigonal bipyramids, and edges with five NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.34–2.57 Å. In the third Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form distorted NiSe5 trigonal bipyramids that share corners with four NiSe4 tetrahedra, corners with eight NiSe5 trigonal bipyramids, and edges with six NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.34–2.50 Å. In the fourth Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form distorted NiSe5 trigonal bipyramids that share corners with two equivalent NiSe4 tetrahedra, corners with six NiSe5 trigonal bipyramids, edges with two NiSe4 tetrahedra, edges with four NiSe5 trigonal bipyramids, and a faceface with one NiSe5 trigonal bipyramid. There are a spread of Ni–Se bond distances ranging from 2.37–2.68 Å. In the fifth Ni+1.67+ site, Ni+1.67+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Ni–Se bond distances ranging from 2.38–2.80 Å. In the sixth Ni+1.67+ site, Ni+1.67+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with two NiSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, corners with six NiSe5 trigonal bipyramids, an edgeedge with one NiSe4 tetrahedra, and edges with two NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.31–2.37 Å. In the seventh Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form NiSe5 square pyramids that share corners with two equivalent NiSe5 square pyramids, corners with three NiSe4 tetrahedra, corners with four equivalent NiSe5 trigonal bipyramids, edges with three equivalent NiSe5 square pyramids, and edges with two NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.32–2.49 Å. In the eighth Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form NiSe5 trigonal bipyramids that share corners with eight NiSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, corners with two equivalent NiSe5 trigonal bipyramids, edges with two NiSe5 square pyramids, and edges with two equivalent NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.40–2.53 Å. In the ninth Ni+1.67+ site, Ni+1.67+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with three NiSe5 square pyramids, corners with nine NiSe5 trigonal bipyramids, and edges with two NiSe4 tetrahedra. There are three shorter (2.32 Å) and one longer (2.35 Å) Ni–Se bond lengths. In the tenth Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form NiSe5 trigonal bipyramids that share corners with seven NiSe4 tetrahedra, corners with four NiSe5 trigonal bipyramids, edges with two NiSe5 square pyramids, an edgeedge with one NiSe4 tetrahedra, and an edgeedge with one NiSe5 trigonal bipyramid. There are a spread of Ni–Se bond distances ranging from 2.38–2.46 Å. In the eleventh Ni+1.67+ site, Ni+1.67+ is bonded to five Se2- atoms to form distorted NiSe5 square pyramids that share corners with two equivalent NiSe5 square pyramids, corners with four NiSe4 tetrahedra, corners with four equivalent NiSe5 trigonal bipyramids, edges with three equivalent NiSe5 square pyramids, and edges with two NiSe5 trigonal bipyramids. There are a spread of Ni–Se bond distances ranging from 2.32–2.63 Å. In the twelfth Ni+1.67+ site, Ni+1.67+ is bonded to four Se2- atoms to form NiSe4 tetrahedra that share corners with two NiSe5 square pyramids, corners with two equivalent NiSe4 tetrahedra, corners with eight NiSe5 trigonal bipyramids, an edgeedge with one NiSe4 tetrahedra, and an edgeedge with one NiSe5 trigonal bipyramid. There are a spread of Ni–Se bond distances ranging from 2.28–2.35 Å. There are ten inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to five Ni+1.67+ atoms. In the second Se2- site, Se2- is bonded in a distorted pentagonal planar geometry to five Ni+1.67+ atoms. In the third Se2- site, Se2- is bonded in a 6-coordinate geometry to six Ni+1.67+ atoms. In the fourth Se2- site, Se2- is bonded in a 6-coordinate geometry to six Ni+1.67+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted hexagonal planar geometry to six Ni+1.67+ atoms. In the sixth Se2- site, Se2- is bonded in a 6-coordinate geometry to six Ni+1.67+ atoms. In the seventh Se2- site, Se2- is bonded in a 6-coordinate geometry to six Ni+1.67+ atoms. In the eighth Se2- site, Se2- is bonded in a 6-coordinate geometry to six Ni+1.67+ atoms. In the ninth Se2- site, Se2- is bonded in a 5-coordinate geometry to five Ni+1.67+ atoms. In the tenth Se2- site, Se2- is bonded in a distorted hexagonal planar geometry to six Ni+1.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr14P9 by Materials Project

Zr14P9 crystallizes in the orthorhombic Pnnm space group. The structure is three-dimensional. there are fifteen inequivalent Zr sites. In the first Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge, face, and corner-sharing ZrP5 square pyramids. There are a spread of Zr–P bond distances ranging from 2.58–2.76 Å. In the second Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge and corner-sharing ZrP5 trigonal bipyramids. There are a spread of Zr–P bond distances ranging from 2.69–2.72 Å. In the third Zr site, Zr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Zr–P bond distances ranging from 2.70–2.96 Å. In the fourth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge and corner-sharing ZrP5 square pyramids. There are a spread of Zr–P bond distances ranging from 2.58–2.76 Å. In the fifth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge and corner-sharing ZrP5 trigonal bipyramids. There are a spread of Zr–P bond distances ranging from 2.71–2.78 Å. In the sixth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge, face, and corner-sharing ZrP5 trigonal bipyramids. There are a spread of Zr–P bond distances ranging from 2.71–2.90 Å. In the seventh Zr site, Zr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Zr–P bond distances ranging from 2.63–2.74 Å. In the eighth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge, face, and corner-sharing ZrP5 trigonal bipyramids. There are a spread of Zr–P bond distances ranging from 2.67–2.73 Å. In the ninth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge and corner-sharing ZrP5 trigonal bipyramids. There are a spread of Zr–P bond distances ranging from 2.67–2.75 Å. In the tenth Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge, face, and corner-sharing ZrP5 square pyramids. There are a spread of Zr–P bond distances ranging from 2.56–2.82 Å. In the eleventh Zr site, Zr is bonded to five P atoms to form a mixture of distorted edge and corner-sharing ZrP5 square pyramids. There are a spread of Zr–P bond distances ranging from 2.58–2.80 Å. In the twelfth Zr site, Zr is bonded in a 3-coordinate geometry to five P atoms. There are a spread of Zr–P bond distances ranging from 2.64–3.16 Å. In the thirteenth Zr site, Zr is bonded in a square co-planar geometry to four P atoms. There are two shorter (2.77 Å) and two longer (2.82 Å) Zr–P bond lengths. In the fourteenth Zr site, Zr is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Zr–P bond distances ranging from 2.72–3.05 Å. In the fifteenth Zr site, Zr is bonded in a square co-planar geometry to four equivalent P atoms. All Zr–P bond lengths are 2.71 Å. There are nine inequivalent P sites. In the first P site, P is bonded in a 9-coordinate geometry to nine Zr atoms. In the second P site, P is bonded in a 7-coordinate geometry to seven Zr atoms. In the third P site, P is bonded in a 7-coordinate geometry to seven Zr atoms. In the fourth P site, P is bonded in a 8-coordinate geometry to eight Zr atoms. In the fifth P site, P is bonded to seven Zr atoms to form a mixture of distorted edge, face, and corner-sharing PZr7 pentagonal bipyramids. In the sixth P site, P is bonded to seven Zr atoms to form a mixture of distorted edge, face, and corner-sharing PZr7 pentagonal bipyramids. In the seventh P site, P is bonded in a 8-coordinate geometry to eight Zr atoms. In the eighth P site, P is bonded in a 8-coordinate geometry to eight Zr atoms. In the ninth P site, P is bonded in a 8-coordinate geometry to eight Zr atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgMo3Se4 by Materials Project

MgMo3Se4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.60–3.26 Å. In the second Mg2+ site, Mg2+ is bonded to six Se2- atoms to form distorted MgSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Mg–Se bond distances ranging from 2.59–3.15 Å. There are six inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one MgSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one MgSe6 octahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of Mo–Se bond distances ranging from 2.60–2.73 Å. In the second Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two equivalent MgSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.59–2.88 Å. In the third Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three equivalent MgSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 34–53°. There are a spread of Mo–Se bond distances ranging from 2.58–2.76 Å. In the fourth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three equivalent MgSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 29–47°. There are a spread of Mo–Se bond distances ranging from 2.58–2.75 Å. In the fifth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two equivalent MgSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.59–2.86 Å. In the sixth Mo2+ site, Mo2+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one MgSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one MgSe6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Mo–Se bond distances ranging from 2.59–2.77 Å. There are eight inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 5-coordinate geometry to one Mg2+ and four Mo2+ atoms. In the second Se2- site, Se2- is bonded in a 5-coordinate geometry to one Mg2+ and four Mo2+ atoms. In the third Se2- site, Se2- is bonded in a 1-coordinate geometry to two Mg2+ and three Mo2+ atoms. In the fourth Se2- site, Se2- is bonded in a 6-coordinate geometry to two Mg2+ and four Mo2+ atoms. In the fifth Se2- site, Se2- is bonded in a 6-coordinate geometry to two Mg2+ and four Mo2+ atoms. In the sixth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Mg2+ and three Mo2+ atoms. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo2+ atoms. In the eighth Se2- site, Se2- is bonded in a 1-coordinate geometry to two Mg2+ and four Mo2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on FeCoAs by Materials Project

FeCoAs crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five As3- atoms to form distorted FeAs5 trigonal bipyramids that share corners with three equivalent FeAs5 square pyramids, corners with two equivalent FeAs4 tetrahedra, corners with four CoAs4 tetrahedra, corners with two equivalent CoAs5 trigonal bipyramids, corners with five FeAs5 trigonal bipyramids, an edgeedge with one FeAs5 square pyramid, edges with six CoAs4 tetrahedra, an edgeedge with one CoAs5 trigonal bipyramid, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.43–2.57 Å. In the second Fe2+ site, Fe2+ is bonded to five As3- atoms to form distorted FeAs5 trigonal bipyramids that share corners with three equivalent FeAs5 square pyramids, corners with two equivalent FeAs4 tetrahedra, corners with four CoAs4 tetrahedra, corners with two equivalent CoAs5 trigonal bipyramids, corners with five FeAs5 trigonal bipyramids, an edgeedge with one FeAs5 square pyramid, edges with six CoAs4 tetrahedra, an edgeedge with one CoAs5 trigonal bipyramid, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.43–2.57 Å. In the third Fe2+ site, Fe2+ is bonded to five As3- atoms to form distorted FeAs5 square pyramids that share corners with six CoAs4 tetrahedra, corners with ten FeAs5 trigonal bipyramids, edges with two equivalent FeAs5 square pyramids, edges with six CoAs4 tetrahedra, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.43–2.56 Å. In the fourth Fe2+ site, Fe2+ is bonded to five As3- atoms to form distorted FeAs5 trigonal bipyramids that share corners with two equivalent FeAs5 square pyramids, corners with six CoAs4 tetrahedra, corners with three equivalent CoAs5 trigonal bipyramids, corners with five FeAs5 trigonal bipyramids, an edgeedge with one FeAs5 square pyramid, edges with two equivalent FeAs4 tetrahedra, edges with four CoAs4 tetrahedra, an edgeedge with one CoAs5 trigonal bipyramid, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.42–2.58 Å. In the fifth Fe2+ site, Fe2+ is bonded to five As3- atoms to form distorted FeAs5 trigonal bipyramids that share corners with two equivalent FeAs5 square pyramids, corners with six CoAs4 tetrahedra, corners with three equivalent CoAs5 trigonal bipyramids, corners with five FeAs5 trigonal bipyramids, an edgeedge with one FeAs5 square pyramid, edges with two equivalent FeAs4 tetrahedra, edges with four CoAs4 tetrahedra, an edgeedge with one CoAs5 trigonal bipyramid, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.41–2.59 Å. In the sixth Fe2+ site, Fe2+ is bonded to four As3- atoms to form FeAs4 tetrahedra that share corners with two equivalent FeAs4 tetrahedra, corners with eight CoAs4 tetrahedra, corners with two equivalent CoAs5 trigonal bipyramids, corners with four FeAs5 trigonal bipyramids, edges with two CoAs4 tetrahedra, edges with two equivalent CoAs5 trigonal bipyramids, and edges with four FeAs5 trigonal bipyramids. There are a spread of Fe–As bond distances ranging from 2.27–2.36 Å. There are six inequivalent Co1+ sites. In the first Co1+ site, Co1+ is bonded to four As3- atoms to form CoAs4 tetrahedra that share a cornercorner with one FeAs4 tetrahedra, corners with nine CoAs4 tetrahedra, corners with two equivalent CoAs5 trigonal bipyramids, corners with four FeAs5 trigonal bipyramids, edges with two equivalent FeAs5 square pyramids, edges with two CoAs4 tetrahedra, and edges with four FeAs5 trigonal bipyramids. There are two shorter (2.27 Å) and two longer (2.36 Å) Co–As bond lengths. In the second Co1+ site, Co1+ is bonded to five As3- atoms to form distorted CoAs5 trigonal bipyramids that share corners with two equivalent FeAs4 tetrahedra, corners with four CoAs4 tetrahedra, corners with ten FeAs5 trigonal bipyramids, edges with two equivalent FeAs4 tetrahedra, edges with four CoAs4 tetrahedra, edges with two equivalent CoAs5 trigonal bipyramids, and edges with four FeAs5 trigonal bipyramids. There are a spread of Co–As bond distances ranging from 2.41–2.56 Å. In the third Co1+ site, Co1+ is bonded to four As3- atoms to form CoAs4 tetrahedra that share corners with two equivalent FeAs5 square pyramids, corners with ten CoAs4 tetrahedra, corners with four FeAs5 trigonal bipyramids, edges with two equivalent FeAs5 square pyramids, edges with two CoAs4 tetrahedra, and edges with four FeAs5 trigonal bipyramids. There are two shorter (2.27 Å) and two longer (2.37 Å) Co–As bond lengths. In the fourth Co1+ site, Co1+ is bonded to four As3- atoms to form CoAs4 tetrahedra that share corners with two equivalent FeAs5 square pyramids, corners with three equivalent FeAs4 tetrahedra, corners with seven CoAs4 tetrahedra, corners with four FeAs5 trigonal bipyramids, an edgeedge with one FeAs4 tetrahedra, an edgeedge with one CoAs4 tetrahedra, edges with two equivalent CoAs5 trigonal bipyramids, and edges with four FeAs5 trigonal bipyramids. There are a spread of Co–As bond distances ranging from 2.26–2.36 Å. In the fifth Co1+ site, Co1+ is bonded to four As3- atoms to form CoAs4 tetrahedra that share corners with two equivalent FeAs5 square pyramids, corners with three equivalent FeAs4 tetrahedra, corners with seven CoAs4 tetrahedra, corners with four FeAs5 trigonal bipyramids, an edgeedge with one FeAs4 tetrahedra, an edgeedge with one CoAs4 tetrahedra, edges with two equivalent CoAs5 trigonal bipyramids, and edges with four FeAs5 trigonal bipyramids. There are a spread of Co–As bond distances ranging from 2.26–2.36 Å. In the sixth Co1+ site, Co1+ is bonded to four As3- atoms to form CoAs4 tetrahedra that share a cornercorner with one FeAs4 tetrahedra, corners with nine CoAs4 tetrahedra, corners with two equivalent CoAs5 trigonal bipyramids, corners with four FeAs5 trigonal bipyramids, edges with two equivalent FeAs5 square pyramids, edges with two CoAs4 tetrahedra, and edges with four FeAs5 trigonal bipyramids. There are two shorter (2.27 Å) and two longer (2.36 Å) Co–As bond lengths. There are six inequivalent As3- sites. In the first As3- site, As3- is bonded in a 9-coordinate geometry to four Fe2+ and five Co1+ atoms. In the second As3- site, As3- is bonded in a 9-coordinate geometry to five Fe2+ and four Co1+ atoms. In the third As3- site, As3- is bonded in a 9-coordinate geometry to six Fe2+ and three Co1+ atoms. In the fourth As3- site, As3- is bonded in a 9-coordinate geometry to six Fe2+ and three Co1+ atoms. In the fifth As3- site, As3- is bonded in a 9-coordinate geometry to three Fe2+ and six Co1+ atoms. In the sixth As3- site, As3- is bonded in a 9-coordinate geometry to five Fe2+ and four Co1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(Mo3Se4)2 by Materials Project

Mg(Mo3Se4)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 trigonal bipyramids that share corners with fourteen MoSe5 square pyramids and edges with two MoSe5 square pyramids. There are a spread of Mg–Se bond distances ranging from 2.59–2.87 Å. There are six inequivalent Mo+2.33+ sites. In the first Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three equivalent MgSe5 trigonal bipyramids, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.55–2.71 Å. In the second Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three equivalent MgSe5 trigonal bipyramids, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.74 Å. In the third Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with three equivalent MgSe5 trigonal bipyramids, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.59–2.71 Å. In the fourth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent MgSe5 trigonal bipyramids, edges with five MoSe5 square pyramids, and an edgeedge with one MgSe5 trigonal bipyramid. There are a spread of Mo–Se bond distances ranging from 2.55–2.76 Å. In the fifth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, a cornercorner with one MgSe5 trigonal bipyramid, edges with five MoSe5 square pyramids, and an edgeedge with one MgSe5 trigonal bipyramid. There are a spread of Mo–Se bond distances ranging from 2.55–2.70 Å. In the sixth Mo+2.33+ site, Mo+2.33+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, corners with two equivalent MgSe5 trigonal bipyramids, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.74 Å. There are eight inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.33+ atoms. In the second Se2- site, Se2- is bonded in a 5-coordinate geometry to one Mg2+ and four Mo+2.33+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to one Mg2+ and four Mo+2.33+ atoms. In the fourth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Mg2+ and three Mo+2.33+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.33+ atoms. In the sixth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Mg2+ and three Mo+2.33+ atoms. In the seventh Se2- site, Se2- is bonded in a 5-coordinate geometry to one Mg2+ and four Mo+2.33+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrLa11Mg3Ga9O34 by Materials Project

SrMg3La11Ga9O34 is Pb (Zr_0.50 Ti_0.48) O_3-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Sr2+ is bonded in a 10-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–3.00 Å. There are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with three equivalent GaO6 octahedra and corners with two equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 15–29°. There are a spread of Mg–O bond distances ranging from 1.93–2.05 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with two equivalent MgO5 square pyramids and corners with three equivalent GaO5 square pyramids. There are a spread of Mg–O bond distances ranging from 1.91–2.06 Å. In the third Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with three equivalent GaO6 octahedra and corners with two equivalent GaO5 square pyramids. The corner-sharing octahedral tilt angles are 32°. There are a spread of Mg–O bond distances ranging from 1.93–2.10 Å. There are eleven inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are two shorter (2.41 Å) and two longer (2.46 Å) La–O bond lengths. In the second La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.50 Å. In the third La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.48 Å. In the fourth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.52 Å. In the fifth La3+ site, La3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.30–2.42 Å. In the sixth La3+ site, La3+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.84 Å. In the seventh La3+ site, La3+ is bonded in a 1-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.84 Å. In the eighth La3+ site, La3+ is bonded in a 11-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.52 Å. In the ninth La3+ site, La3+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.52 Å. In the tenth La3+ site, La3+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.52 Å. In the eleventh La3+ site, La3+ is bonded in a 11-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.53 Å. There are nine inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent GaO6 octahedra and corners with three equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 22–24°. There are a spread of Ga–O bond distances ranging from 1.90–2.04 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 2.00–2.07 Å. In the third Ga3+ site, Ga3+ is bonded to five O2- atoms to form GaO5 square pyramids that share corners with five MgO5 square pyramids. There are a spread of Ga–O bond distances ranging from 1.83–2.00 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent GaO6 octahedra and corners with three equivalent MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 23–25°. There are a spread of Ga–O bond distances ranging from 1.93–2.05 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 2.00–2.03 Å. In the sixth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 2.01–2.04 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 2.01–2.04 Å. In the eighth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 1.99–2.05 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form corner-sharing GaO6 octahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Ga–O bond distances ranging from 2.01–2.04 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two Mg2+, and one La3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two La3+, and one Ga3+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Mg2+, one La3+, and one Ga3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two La3+, and one Ga3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, one Mg2+, one La3+, and one Ga3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Sr2+, one Mg2+, one La3+, and one Ga3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two La3+, and one Ga3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and two Ga3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one La3+, and one Ga3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Ga3+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Ga3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Ga3+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Ga3+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+ and two Ga3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one La3+ and two Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La8Cu7O19 by Materials Project

La8Cu7O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.78 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.83 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.79 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.81 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.78 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.85 Å. In the seventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.79 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.36–2.82 Å. In the ninth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.82 Å. In the tenth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.32–3.01 Å. In the eleventh La3+ site, La3+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–3.11 Å. In the twelfth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.35–2.80 Å. In the thirteenth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.84 Å. In the fourteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.10 Å. In the fifteenth La3+ site, La3+ is bonded in a 7-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.00 Å. In the sixteenth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–2.82 Å. There are fourteen inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.47 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the third Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.68 Å. In the fourth Cu2+ site, Cu2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.70 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.45 Å. In the sixth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.74 Å. In the seventh Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.10 Å. In the eighth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the ninth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.46 Å. In the tenth Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.91–2.04 Å. In the eleventh Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.03 Å. In the twelfth Cu2+ site, Cu2+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Cu–O bond distances ranging from 1.88–2.44 Å. In the thirteenth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Cu–O bond distances ranging from 1.89–2.47 Å. In the fourteenth Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.07 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the second O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the third O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Cu2+ atom. In the fifth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form distorted OLa4Cu2 octahedra that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, an edgeedge with one OLa4Cu2 octahedra, and faces with two equivalent OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two La3+ and four Cu2+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one La3+ and four Cu2+ atoms. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two La3+ and four Cu2+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one La3+ and four Cu2+ atoms. In the sixteenth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent La3+ and three Cu2+ atoms to form distorted OLa2Cu3 trigonal bipyramids that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, and an edgeedge with one OLa2Cu3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–55°. In the nineteenth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form distorted OLa4Cu2 octahedra that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, an edgeedge with one OLa4Cu2 octahedra, and faces with two equivalent OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La3+ and three Cu2+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent La3+ and three Cu2+ atoms to form distorted OLa2Cu3 trigonal bipyramids that share corners with two equivalent OLa4Cu2 octahedra, corners with two equivalent OLa2Cu3 trigonal bipyramids, and an edgeedge with one OLa2Cu3 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–55°. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four La3+ and two Cu2+ atoms. In the twenty-fourth O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent La3+ and three Cu2+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Cu2+ atoms. In the thirtieth O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the thirty-first O2- site, O2- is bonded to four La3+ and two equivalent Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 2°. In the thirty-second O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-third O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu2+ atom. In the thirty-seventh O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the thirty-eighth O2- site, O2- is bonded to four La3+ and two Cu2+ atoms to form a mixture of distorted edge, corner, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗

Materials Data on Cd4Bi2O7 by Materials Project

Cd4Bi2O7 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four O2- atoms to form distorted CdO4 tetrahedra that share a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO5 trigonal bipyramid, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. There are a spread of Cd–O bond distances ranging from 2.24–2.32 Å. In the second Cd2+ site, Cd2+ is bonded to five O2- atoms to form CdO5 trigonal bipyramids that share a cornercorner with one BiO6 octahedra, corners with two BiO5 square pyramids, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, and an edgeedge with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Cd–O bond distances ranging from 2.28–2.37 Å. In the third Cd2+ site, Cd2+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.19–2.31 Å. In the fourth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.22–2.53 Å. In the fifth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.20–2.98 Å. In the sixth Cd2+ site, Cd2+ is bonded to four O2- atoms to form distorted CdO4 trigonal pyramids that share a cornercorner with one BiO6 pentagonal pyramid, corners with three BiO5 square pyramids, corners with two CdO5 trigonal bipyramids, and an edgeedge with one BiO6 pentagonal pyramid. There are a spread of Cd–O bond distances ranging from 2.16–2.38 Å. In the seventh Cd2+ site, Cd2+ is bonded to five O2- atoms to form distorted CdO5 trigonal bipyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one CdO6 octahedra, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Cd–O bond distances ranging from 2.25–2.52 Å. In the eighth Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 octahedra that share a cornercorner with one CdO5 square pyramid, corners with two BiO5 square pyramids, an edgeedge with one BiO6 octahedra, and an edgeedge with one CdO5 trigonal bipyramid. There are a spread of Cd–O bond distances ranging from 2.26–2.54 Å. In the ninth Cd2+ site, Cd2+ is bonded to five O2- atoms to form distorted CdO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO5 trigonal bipyramid, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 25°. There are a spread of Cd–O bond distances ranging from 2.21–2.45 Å. In the tenth Cd2+ site, Cd2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.22–2.37 Å. In the eleventh Cd2+ site, Cd2+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.19–2.36 Å. In the twelfth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.09–2.35 Å. In the thirteenth Cd2+ site, Cd2+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.15–2.41 Å. In the fourteenth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.20–2.84 Å. In the fifteenth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.29–2.53 Å. In the sixteenth Cd2+ site, Cd2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Cd–O bond distances ranging from 2.23–2.39 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 pentagonal pyramids that share a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one CdO5 square pyramid, an edgeedge with one BiO5 square pyramid, an edgeedge with one CdO4 tetrahedra, and an edgeedge with one CdO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.25–2.63 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one BiO6 pentagonal pyramid, corners with two BiO5 square pyramids, corners with two CdO5 trigonal bipyramids, and an edgeedge with one CdO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO4 trigonal pyramid, and an edgeedge with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.21–2.42 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one BiO6 octahedra, a cornercorner with one CdO5 trigonal bipyramid, and a cornercorner with one CdO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–62°. There are a spread of Bi–O bond distances ranging from 2.13–2.40 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one BiO6 pentagonal pyramid, an edgeedge with one CdO5 square pyramid, an edgeedge with one CdO4 tetrahedra, an edgeedge with one CdO5 trigonal bipyramid, and a faceface with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 74°. There are a spread of Bi–O bond distances ranging from 2.17–2.56 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 pentagonal pyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO4 tetrahedra, an edgeedge with one BiO5 square pyramid, an edgeedge with one CdO5 trigonal bipyramid, an edgeedge with one CdO4 trigonal pyramid, and a faceface with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Bi–O bond distances ranging from 2.18–2.74 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.41 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.82 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with five OCd3Bi tetrahedra, corners with three OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the second O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 tetrahedra that share corners with two OCd3Bi tetrahedra, corners with two OCd4Bi trigonal bipyramids, corners with two OCd2Bi2 trigonal pyramids, edges with two OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi trigonal pyramid. In the third O2- site, O2- is bonded to four Cd2+ atoms to form OCd4 tetrahedra that share corners with five OCd2Bi2 tetrahedra, corners with two OCd4Bi trigonal bipyramids, a cornercorner with one OCd3Bi trigonal pyramid, and edges with two OCd3Bi trigonal pyramids. In the fourth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with two OCd2Bi2 tetrahedra, corners with two OCd4Bi trigonal bipyramids, corners with three OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the fifth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi trigonal pyramids that share corners with five OCd3Bi tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cd2+ and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Cd2+ and one Bi3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Cd2+ and two Bi3+ atoms. In the ninth O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 trigonal pyramids that share corners with six OCd2Bi2 tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd3Bi trigonal pyramids, and an edgeedge with one OCd4Bi trigonal bipyramid. In the tenth O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 tetrahedra that share corners with three OCd2Bi2 tetrahedra, corners with three OCd2Bi2 trigonal pyramids, an edgeedge with one OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi2 trigonal bipyramid. In the eleventh O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi tetrahedra that share corners with four OCd3Bi tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with three OCd3Bi trigonal pyramids, an edgeedge with one OCdBi3 tetrahedra, and an edgeedge with one OCd3Bi trigonal pyramid. In the twelfth O2- site, O2- is bonded to four Cd2+ and one Bi3+ atom to form distorted OCd4Bi trigonal bipyramids that share corners with three OCd3Bi tetrahedra, corners with two OCd2Bi2 trigonal pyramids, an edgeedge with one OCd4Bi trigonal bipyramid, and an edgeedge with one OCd3Bi trigonal pyramid. In the thirteenth O2- site, O2- is bonded to four Cd2+ and one Bi3+ atom to form OCd4Bi trigonal bipyramids that share corners with three OCd3Bi tetrahedra, corners with two OCd3Bi trigonal pyramids, an edgeedge with one OCd2Bi2 tetrahedra, edges with two OCd4Bi trigonal bipyramids, and an edgeedge with one OCd2Bi2 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi trigonal pyramids that share corners with four OCd2Bi2 tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd2Bi2 trigonal pyramids, edges with two OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi2 trigonal bipyramid. In the fifteenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with three OCd3Bi tetrahedra, a cornercorner with one OCd3Bi2 trigonal bipyramid, and a cornercorner with one OCd2Bi2 trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Cd2+ and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi trigonal

36 MATERIALS SCIENCE↗

Materials Data on Ca17(Y7S19)2 by Materials Project

Ca17(Y7S19)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seventeen inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with three CaS6 octahedra, edges with two equivalent YS6 octahedra, and edges with seven CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Ca–S bond distances ranging from 2.79–2.88 Å. In the second Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ca–S bond distances ranging from 2.75–2.87 Å. In the third Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ca–S bond distances ranging from 2.82–2.88 Å. In the fourth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with four CaS6 octahedra, and edges with eight YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ca–S bond distances ranging from 2.82–2.86 Å. In the fifth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with six YS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ca–S bond distances ranging from 2.84–2.87 Å. In the sixth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one CaS6 octahedra, corners with five YS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–S bond distances ranging from 2.83–2.85 Å. In the seventh Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with six CaS6 octahedra, edges with two equivalent YS6 octahedra, and edges with ten CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ca–S bond distances ranging from 2.74–2.89 Å. In the eighth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with three equivalent YS6 octahedra, and edges with nine CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Ca–S bond distances ranging from 2.76–2.87 Å. In the ninth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.93 Å. In the tenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, and edges with twelve CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.97 Å. In the eleventh Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.74–2.93 Å. In the twelfth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.73–2.93 Å. In the thirteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Ca–S bond distances ranging from 2.76–2.93 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.74–2.93 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–S bond distances ranging from 2.74–2.91 Å. In the sixteenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing CaS6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Ca–S bond distances ranging from 2.77–2.92 Å. In the seventeenth Ca2+ site, Ca2+ is bonded to six S2- atoms to form CaS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, and edges with ten CaS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ca–S bond distances ranging from 2.79–2.95 Å. There are fourteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share a cornercorner with one CaS6 octahedra, edges with two equivalent CaS6 octahedra, and edges with four YS6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Y–S bond distances ranging from 2.70–2.75 Å. In the second Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.73 Å. In the third Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.71–2.73 Å. In the fourth Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are five shorter (2.72 Å) and one longer (2.73 Å) Y–S bond lengths. In the fifth Y3+ site, Y3+ is bonded to six S2- atoms to form edge-sharing YS6 octahedra. There are a spread of Y–S bond distances ranging from 2.72–2.74 Å. In the sixth Y3+ site, Y3+ is bonded to six S2- atoms to form distorted YS6 octahedra that share corners with three YS6 octahedra, edges with two equivalent CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Y–S bond distances ranging from 2.43–3.15 Å. In the seventh Y3+ site, Y3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing YS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Y–S bond distances ranging from 2.61–3.12 Å. In the eighth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with three equivalent CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Y–S bond distances ranging from 2.58–2.92 Å. In the ninth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with two YS6 octahedra, corners with four CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Y–S bond distances ranging from 2.76–2.82 Å. In the tenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with five CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Y–S bond distances ranging from 2.79–2.84 Å. In the eleventh Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with three CaS6 octahedra, corners with three YS6 octahedra, edges with five CaS6 octahedra, and edges with seven YS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are two shorter (2.82 Å) and four longer (2.83 Å) Y–S bond lengths. In the twelfth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share a cornercorner with one YS6 octahedra, corners with five CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Y–S bond distances ranging from 2.80–2.82 Å. In the thirteenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six CaS6 octahedra, edges with four YS6 octahedra, and edges with eight CaS6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Y–S bond distances ranging from 2.77–2.81 Å. In the fourteenth Y3+ site, Y3+ is bonded to six S2- atoms to form YS6 octahedra that share corners with six CaS6 octahedra, edges with six CaS6 octahedra, and edges with six YS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are three shorter (2.81 Å) and three longer (2.82 Å) Y–S bond lengths. There are thirty-eight inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ca2+ and one Y3+ atom. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to one Ca2+ and two equivalent Y3+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the twelfth S2- site, S2- is bonded in a 3-coordinate geometry to three Y3+ atoms. In the thirteenth S2- site, S2- is bonded in a distorted T-shaped geometry to three Y3+ atoms. In the fourteenth S2- site, S2- is bonded to one Ca2+ and four Y3+ atoms to form SCaY4 square pyramids that share corners with three SCa3Y3 octahedra, edges with five SCa3Y3 octahedra, and edges with two equivalent SCaY4 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the fifteenth S2- site, S2- is bonded in a distorted see-saw-like geometry to four Y3+ atoms. In the sixteenth S2- site, S2- is bonded to three Ca2+ and three Y3+ atoms to form SCa3Y3 octahedra that share corners with five SCa3Y3 octahedra, edges with ten SCa3Y3 octahedra, and edges with two equivalent SCaY4 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the seventeenth S2- site, S2- is bonded to two equivalent Ca2+ and four Y3+ atoms to form SCa2Y4 octahedra that share corners with three SCa3Y3 octahedra, corners with two equivalent SCaY4 square pyramids, edges with seven SCa3Y3 octahedra, and edges with three equivalent SCaY4 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the eighteenth S2- site, S2- is bonded to two equivalent Ca2+ and four Y3+ atoms to form a mixture of edge and corner-sharing SCa2Y4 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the nineteenth S2- site, S2- is bonded to three Ca2+ and three Y3+ atoms to form SCa3Y3 octahedra that share corners with five SCa2Y4 octahedra, a cornercorner with one SCaY4 square pyramid, and edges with twelve SCa3Y3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Fe21Ni9O40 by Materials Project

Fe21Ni9O40 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are one shorter (2.04 Å) and five longer (2.06 Å) Fe–O bond lengths. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are two shorter (2.04 Å) and two longer (2.05 Å) Fe–O bond lengths. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twenty-first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are nine inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are two shorter (2.00 Å) and two longer (2.01 Å) Ni–O bond lengths. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Ni–O bond distances ranging from 2.00–2.02 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the fifth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.03 Å. In the sixth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. In the seventh Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the eighth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the ninth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the second O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the third O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the ninth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Fe+2.95+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe

36 MATERIALS SCIENCE↗

Materials Data on Li35(RuO4)12 by Materials Project

Li35(RuO4)12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are twenty-one inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with five LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.07–2.14 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four RuO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.16 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent RuO6 octahedra, corners with four LiO6 octahedra, edges with four RuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the twenty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four RuO6 octahedra, edges with two equivalent RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. There are six inequivalent Ru sites. In the first Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.91–2.09 Å. In the second Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with five LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.87–2.10 Å. In the third Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Ru–O bond distances ranging from 1.90–2.08 Å. In the fourth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ru–O bond distances ranging from 1.91–2.08 Å. In the fifth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with six LiO6 octahedra, edges with two RuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Ru–O bond distances ranging from 1.87–2.12 Å. In the sixth Ru site, Ru is bonded to six O atoms to form RuO6 octahedra that share corners with five LiO6 octahedra, edges with two RuO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ru–O bond distances ranging from 1.90–2.09 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with six OLi5Ru octahedra, edges with nine OLi5Ru octahedra, and edges with three OLi4Ru square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the second O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi3Ru2 square pyramid, edges with eleven OLi4Ru2 octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–10°. In the third O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, and edges with twelve OLi4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. In the fourth O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–8°. In the fifth O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi4Ru2 octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 5–10°. In the sixth O site, O is bonded to five Li and one Ru atom to form a mixture of edge and corner-sharing OLi5Ru octahedra. The corner-sharing octahedra tilt angles range from 5–8°. In the seventh O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with five OLi4Ru2 octahedra, a cornercorner with one OLi4Ru square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 5–6°. In the eighth O site, O is bonded to four Li and two Ru atoms to form OLi4Ru2 octahedra that share corners with five OLi5Ru octahedra, a cornercorner with one OLi3Ru2 square pyramid, edges with eleven OLi5Ru octahedra, and an edgeedge with one OLi4Ru square pyramid. The corner-sharing octahedra tilt angles range from 4–7°. In the ninth O site, O is bonded to five Li and one Ru atom to form OLi5Ru octahedra that share corners with six OLi4Ru2 octahedra, edges with nine OLi4Ru2 octahedra, and edges with three OLi4Ru square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the tenth O site, O is bonded to four Li and two Ru atom

36 MATERIALS SCIENCE↗

Materials Data on La10Bi8O27 by Materials Project

Bi8La10O27 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.65 Å. In the second La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.33–2.66 Å. In the third La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.43–2.51 Å. In the fourth La3+ site, La3+ is bonded to seven O2- atoms to form distorted edge-sharing LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.45–2.54 Å. In the fifth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.52–3.06 Å. In the sixth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.52–3.02 Å. In the seventh La3+ site, La3+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share corners with two BiO4 trigonal pyramids and edges with two LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.42–2.54 Å. In the eighth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.76 Å. In the ninth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.40–2.72 Å. In the tenth La3+ site, La3+ is bonded to seven O2- atoms to form distorted LaO7 pentagonal bipyramids that share corners with two BiO4 trigonal pyramids and edges with two LaO7 hexagonal pyramids. There are a spread of La–O bond distances ranging from 2.42–2.54 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share corners with two LaO7 pentagonal bipyramids and corners with two equivalent BiO4 trigonal pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.33 Å. In the second Bi3+ site, Bi3+ is bonded to four O2- atoms to form distorted BiO4 trigonal pyramids that share corners with two LaO7 pentagonal bipyramids and corners with two equivalent BiO4 trigonal pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.33 Å. In the third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.24 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.73 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.73 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.17–3.02 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.07 Å) and one longer (2.13 Å) Bi–O bond lengths. In the eighth Bi3+ site, Bi3+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are two shorter (2.07 Å) and one longer (2.13 Å) Bi–O bond lengths. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with eleven OLa4 tetrahedra, edges with four OLa4 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the second O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the third O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the fourth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form distorted OLa3Bi tetrahedra that share corners with eleven OLa4 tetrahedra, edges with four OLa4 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with four OLa3Bi tetrahedra. In the sixth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra, edges with four OLa2Bi2 tetrahedra, and an edgeedge with one OLaBi3 trigonal pyramid. In the seventh O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with four OLa2Bi2 tetrahedra. In the eighth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra and edges with five OLa3Bi tetrahedra. In the ninth O2- site, O2- is bonded to one La3+ and three Bi3+ atoms to form distorted OLaBi3 tetrahedra that share corners with nine OLa4 tetrahedra, corners with two equivalent OLaBi3 trigonal pyramids, and edges with three OLa3Bi tetrahedra. In the tenth O2- site, O2- is bonded to one La3+ and three Bi3+ atoms to form distorted OLaBi3 trigonal pyramids that share corners with eleven OLa4 tetrahedra and edges with three OLa3Bi tetrahedra. In the eleventh O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the twelfth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form a mixture of distorted edge and corner-sharing OLa2Bi2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with seven OLa3Bi tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four La3+ atoms to form a mixture of edge and corner-sharing OLa4 tetrahedra. In the fifteenth O2- site, O2- is bonded to four La3+ atoms to form OLa4 tetrahedra that share corners with twelve OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with four OLa3Bi tetrahedra. In the sixteenth O2- site, O2- is bonded to four La3+ atoms to form OLa4 tetrahedra that share corners with thirteen OLa4 tetrahedra and edges with four OLa2Bi2 tetrahedra. In the seventeenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with seven OLa2Bi2 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa4 tetrahedra. In the eighteenth O2- site, O2- is bonded to two La3+ and two Bi3+ atoms to form distorted OLa2Bi2 tetrahedra that share corners with six OLa2Bi2 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Bi3+ atoms. In the twentieth O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with nine OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the twenty-first O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa2Bi2 tetrahedra. In the twenty-second O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra, a cornercorner with one OLaBi3 trigonal pyramid, and edges with five OLa3Bi tetrahedra. In the twenty-third O2- site, O2- is bonded to three La3+ and one Bi3+ atom to form OLa3Bi tetrahedra that share corners with ten OLa4 tetrahedra and edges with five OLa2Bi2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and one Bi3+ atom.

36 MATERIALS SCIENCE↗