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Materials Data on Nb12Br17F13 by Materials Project

Nb12Br17F13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nb+2.50+ sites. In the first Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.77 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Nb–F bond lengths. In the second Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are two shorter (2.61 Å) and one longer (2.78 Å) Nb–Br bond lengths. Both Nb–F bond lengths are 2.09 Å. In the third Nb+2.50+ site, Nb+2.50+ is bonded to two Br1- and three F1- atoms to form distorted corner-sharing NbBr2F3 square pyramids. There are one shorter (2.59 Å) and one longer (2.78 Å) Nb–Br bond lengths. There are two shorter (2.08 Å) and one longer (2.11 Å) Nb–F bond lengths. In the fourth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.78 Å. Both Nb–F bond lengths are 2.09 Å. In the fifth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.78 Å. Both Nb–F bond lengths are 2.09 Å. In the sixth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are two shorter (2.61 Å) and one longer (2.81 Å) Nb–Br bond lengths. Both Nb–F bond lengths are 2.09 Å. In the seventh Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.76 Å. Both Nb–F bond lengths are 2.09 Å. In the eighth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.78 Å. Both Nb–F bond lengths are 2.09 Å. In the ninth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.60–2.78 Å. There are one shorter (2.08 Å) and one longer (2.09 Å) Nb–F bond lengths. In the tenth Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are two shorter (2.61 Å) and one longer (2.77 Å) Nb–Br bond lengths. There are one shorter (2.09 Å) and one longer (2.10 Å) Nb–F bond lengths. In the eleventh Nb+2.50+ site, Nb+2.50+ is bonded to three Br1- and two F1- atoms to form distorted corner-sharing NbBr3F2 square pyramids. There are a spread of Nb–Br bond distances ranging from 2.59–2.78 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Nb–F bond lengths. In the twelfth Nb+2.50+ site, Nb+2.50+ is bonded to two Br1- and three F1- atoms to form distorted corner-sharing NbBr2F3 square pyramids. There are one shorter (2.60 Å) and one longer (2.78 Å) Nb–Br bond lengths. There are two shorter (2.08 Å) and one longer (2.10 Å) Nb–F bond lengths. There are seventeen inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. In the second Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. In the third Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. In the fourth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the fifth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the sixth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the seventh Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the eighth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the ninth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the tenth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the eleventh Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the twelfth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the thirteenth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the fourteenth Br1- site, Br1- is bonded in a 2-coordinate geometry to two Nb+2.50+ atoms. In the fifteenth Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. In the sixteenth Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. In the seventeenth Br1- site, Br1- is bonded in a distorted bent 120 degrees geometry to two Nb+2.50+ atoms. There are thirteen inequivalent F1- sites. In the first F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the second F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the third F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the fourth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the fifth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the sixth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the seventh F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the eighth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the ninth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the tenth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the eleventh F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the twelfth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms. In the thirteenth F1- site, F1- is bonded in an L-shaped geometry to two Nb+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb20(O13F7)3 by Materials Project

Nb20(O13F7)3 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eleven inequivalent Nb+4.95+ sites. In the first Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (1.94 Å) and two longer (2.07 Å) Nb–O bond lengths. Both Nb–F bond lengths are 2.04 Å. In the second Nb+4.95+ site, Nb+4.95+ is bonded to three O2- and three F1- atoms to form corner-sharing NbO3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. There is one shorter (1.79 Å) and two longer (1.96 Å) Nb–O bond length. There are two shorter (2.08 Å) and one longer (2.18 Å) Nb–F bond lengths. In the third Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.81–2.21 Å. Both Nb–F bond lengths are 2.08 Å. In the fourth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.80–2.20 Å. Both Nb–F bond lengths are 2.08 Å. In the fifth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form distorted corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Nb–O bond distances ranging from 1.79–2.21 Å. Both Nb–F bond lengths are 2.08 Å. In the sixth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.80–2.21 Å. Both Nb–F bond lengths are 2.08 Å. In the seventh Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. There are a spread of Nb–O bond distances ranging from 1.81–2.20 Å. Both Nb–F bond lengths are 2.08 Å. In the eighth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Nb–O bond distances ranging from 1.81–2.20 Å. Both Nb–F bond lengths are 2.07 Å. In the ninth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Nb–O bond distances ranging from 1.84–2.19 Å. Both Nb–F bond lengths are 2.07 Å. In the tenth Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Nb–O bond distances ranging from 1.89–2.14 Å. Both Nb–F bond lengths are 2.07 Å. In the eleventh Nb+4.95+ site, Nb+4.95+ is bonded to four O2- and two equivalent F1- atoms to form corner-sharing NbO4F2 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.94 Å) and two longer (2.02 Å) Nb–O bond length. Both Nb–F bond lengths are 2.07 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the tenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to two Nb+4.95+ atoms. In the twelfth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two Nb+4.95+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the fifteenth O2- site, O2- is bonded in a linear geometry to two Nb+4.95+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Nb+4.95+ atoms. In the eighteenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the twentieth O2- site, O2- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Nb+4.95+ atoms. There are twelve inequivalent F1- sites. In the first F1- site, F1- is bonded in a linear geometry to two Nb+4.95+ atoms. The F–Nb bond length is 2.18 Å. In the second F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the third F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the fourth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the fifth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the sixth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the seventh F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the eighth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the ninth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the tenth F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the eleventh F1- site, F1- is bonded in a linear geometry to two equivalent Nb+4.95+ atoms. In the twelfth F1- site, F1- is bonded in a linear geometry to two Nb+4.95+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li17Nb18O54 by Materials Project

Li17Nb18O54 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Li sites. In the first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the second Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the eighth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the ninth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 62–63°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the tenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. In the eleventh Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the twelfth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the thirteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.31 Å. In the fourteenth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 62–63°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the fifteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the sixteenth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, corners with four LiO6 pentagonal pyramids, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the seventeenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. There are eighteen inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the second Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and edges with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.23 Å. In the third Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.91–2.15 Å. In the fourth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the fifth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and corners with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the sixth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, edges with two LiO6 pentagonal pyramids, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and corners with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the eighth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and edges with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the ninth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and edges with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the tenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, an edgeedge with one LiO6 pentagonal pyramid, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, corners with two LiO6 pentagonal pyramids, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.88–2.18 Å. In the twelfth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the thirteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and corners with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of Nb–O bond distances ranging from 1.88–2.18 Å. In the fourteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and edges with two LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.23 Å. In the fifteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the sixteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. In the seventeenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, corners with two LiO6 pentagonal pyramids, an edgeedge with one LiO6 pentagonal pyramid, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the eighteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of Nb–O bond distances ranging from 1.90–2.18 Å. There are fifty-four inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the second O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the third O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fourth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fifth O site, O is bonded in a T-shaped geometry to one Li and two Nb atoms. In the sixth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the seventh O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the eighth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the ninth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the tenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the eleventh O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twelfth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the thirteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fourteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the fifteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the sixteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the seventeenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the eighteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the nineteenth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twentieth O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-first O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-second O site, O is bonded in a distorted see-saw-like geometry to two Li and two Nb atoms. In the twenty-third O site, O is bonded in a distorted see-saw-like geometry to two Li an

36 MATERIALS SCIENCE↗

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 Li11Nb12O36 by Materials Project

Li11Nb12O36 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li sites. In the first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.04–2.45 Å. In the second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are three shorter (2.04 Å) and three longer (2.45 Å) Li–O bond lengths. In the third Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. All Li–O bond lengths are 2.00 Å. In the fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.03–2.45 Å. In the fifth Li site, Li is bonded in a trigonal planar geometry to three O atoms. All Li–O bond lengths are 2.00 Å. In the sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.04–2.46 Å. In the seventh Li site, Li is bonded in a distorted trigonal planar geometry to three O atoms. There is one shorter (1.99 Å) and two longer (2.00 Å) Li–O bond length. In the eighth Li site, Li is bonded in a distorted trigonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.99–2.56 Å. In the ninth Li site, Li is bonded in a 3-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.03–2.58 Å. In the tenth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.00–2.55 Å. In the eleventh Li site, Li is bonded in a distorted trigonal planar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.00–2.58 Å. There are twelve inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of Nb–O bond distances ranging from 1.93–2.12 Å. In the second Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.14 Å. In the third Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.15 Å. In the fourth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.14 Å. In the fifth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.15 Å. In the sixth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–40°. There are a spread of Nb–O bond distances ranging from 1.93–2.14 Å. In the seventh Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are a spread of Nb–O bond distances ranging from 1.92–2.15 Å. In the eighth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of Nb–O bond distances ranging from 1.95–2.10 Å. In the ninth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.14 Å. In the tenth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 22–38°. There are a spread of Nb–O bond distances ranging from 1.94–2.11 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.14 Å. In the twelfth Nb site, Nb is bonded to six O atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–38°. There are a spread of Nb–O bond distances ranging from 1.96–2.07 Å. There are thirty-six inequivalent O sites. In the first O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the second O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the third O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the fourth O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the sixth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the seventh O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the eighth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the ninth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the tenth O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the twelfth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the fourteenth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the fifteenth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the sixteenth O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the seventeenth O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the eighteenth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Li and two Nb atoms. In the twentieth O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the twenty-first O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the twenty-second O site, O is bonded to two Li and two Nb atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the twenty-third O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Nb atoms. In the twenty-fourth O site, O is bonded in a 4-coordinate geometry to two Li and two Nb atoms. In the twenty-fifth O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the twenty-sixth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the twenty-seventh O site, O is bonded in a trigonal planar geometry to one Li and two Nb atoms. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Li and two Nb atoms. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to one Li and two Nb atoms. In the thirty-first O site, O is bonded in a distorted T-shaped geometry to one Li and two Nb atoms. In the thirty-second O site, O is bonded in a 4-coordinate geometry to two Li and two Nb atoms. In the thirty-third O site, O is bonded in a 4-coordinate geometry to two Li and two Nb atoms. In the thirty-fourth O site, O is bonded in a 4-coordinate geometry to one Li and two Nb atoms. In the thirty-fifth O site, O is bonded in a 4-coordinate geometry to two Li and two Nb atoms. In the thirty-sixth O site, O is bonded in a 4-coordinate geometry to two Li and two Nb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb39C34 by Materials Project

Nb29C28(Nb3C2)2(Nb2C)2 crystallizes in the trigonal P-3m1 space group. The structure is two-dimensional and consists of one Nb29C28 sheet oriented in the (0, 0, 1) direction; two Nb2C sheets oriented in the (0, 0, 1) direction; and two Nb3C2 sheets oriented in the (0, 0, 1) direction. In the Nb29C28 sheet, there are thirteen inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.18 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (2.23 Å) and three longer (2.27 Å) Nb–C bond lengths. In the third Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.26 Å) and three longer (2.27 Å) Nb–C bond lengths. In the fourth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Nb–C bond lengths are 2.25 Å. In the fifth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.23 Å) and three longer (2.26 Å) Nb–C bond lengths. In the sixth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the seventh Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the eighth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the ninth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the tenth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the eleventh Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.24 Å) and three longer (2.25 Å) Nb–C bond lengths. In the twelfth Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.24 Å. In the thirteenth Nb+3.49+ site, Nb+3.49+ is bonded to six equivalent C4- atoms to form a mixture of edge and corner-sharing NbC6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–C bond lengths are 2.25 Å. There are twelve inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eleventh C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In each Nb2C sheet, there are two inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.22 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.23 Å. C4- is bonded to six Nb+3.49+ atoms to form edge-sharing CNb6 octahedra. In each Nb3C2 sheet, there are three inequivalent Nb+3.49+ sites. In the first Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.17 Å. In the second Nb+3.49+ site, Nb+3.49+ is bonded to six C4- atoms to form edge-sharing NbC6 octahedra. All Nb–C bond lengths are 2.29 Å. In the third Nb+3.49+ site, Nb+3.49+ is bonded in a distorted T-shaped geometry to three equivalent C4- atoms. All Nb–C bond lengths are 2.17 Å. There are two inequivalent C4- sites. In the first C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to six Nb+3.49+ atoms to form a mixture of edge and corner-sharing CNb6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li2TiNb3O8 by Materials Project

Li2TiNb3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Li–O bond distances ranging from 1.87–1.96 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Li–O bond distances ranging from 1.91–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–63°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine NbO6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Li–O bond distances ranging from 1.92–2.02 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NbO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NbO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NbO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NbO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.15 Å. There are twelve inequivalent Nb+3.33+ sites. In the first Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.00–2.16 Å. In the second Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.97–2.20 Å. In the third Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.05–2.11 Å. In the fourth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.07–2.29 Å. In the fifth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.07–2.28 Å. In the sixth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.03–2.13 Å. In the seventh Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.16–2.20 Å. In the eighth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.09–2.26 Å. In the ninth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.09–2.27 Å. In the tenth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.26 Å. In the eleventh Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.27 Å. In the twelfth Nb+3.33+ site, Nb+3.33+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four NbO6 octahedra. There are a spread of Nb–O bond distances ranging from 2.09–2.26 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Nb+3.33+ atoms to form distorted OLiNb3 trigonal pyramids that share corners with two OLiTiNb2 tetrahedra, a cornercorner with one OLiNb3 trigonal pyramid, and edges with three OLiTiNb2 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with three OLiTiNb2 tetrahedra, a cornercorner with one OLiNb3 trigonal pyramid, edges with two OLiTiNb2 tetrahedra, and an edgeedge with one OLiNb3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Nb+3.33+ atoms to form distorted OLiNb3 trigonal pyramids that share corners with four OLiNb3 tetrahedra, a cornercorner with one OLiNb3 trigonal pyramid, and edges with two OLiTiNb2 tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with three OLiTiNb2 tetrahedra, corners with two OLiNb3 trigonal pyramids, and an edgeedge with one OLiTiNb2 tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with four OLiTiNb2 tetrahedra, an edgeedge with one OLiTiNb2 tetrahedra, and an edgeedge with one OLiNb3 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with four OLiTiNb2 tetrahedra, a cornercorner with one OLiNb3 trigonal pyramid, an edgeedge with one OLiTiNb2 tetrahedra, and an edgeedge with one OLiNb3 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Nb+3.33+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiTiNb2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Nb+3.33+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with four OLiTiNb2 tetrahedra and edges with two OLiNb3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Nb+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiNb3 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with four OLiTiNb2 tetrahedra and edges with two OLiNb3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Nb+3.33+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Nb+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Nb+3.33+ atoms to form distorted OLiTiNb2 tetrahedra that share corners with four OLiTiNb2 tetrahedra and an edgeedge with one OLiNb3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Nb+3.33+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Nb+3.33+ atoms to form distorted OLiNb3 tetrahedra that share corners with three OLiTiNb2 tetrahedra, a cornercorner with one OLiNb3 trigonal pyramid, and an edgeedge with one OLiTiNb2 tetrahedra. In the thirty-first O2- site, O2- is bonded to

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Nb7WO20 by Materials Project

K5Na3Nb7WO20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.72–3.15 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.10 Å. In the third K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.63–2.88 Å. In the fourth K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.76–3.17 Å. In the fifth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.64–3.28 Å. In the sixth K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.57–2.87 Å. In the seventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.68–3.17 Å. In the eighth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.00 Å. In the ninth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.67–3.03 Å. In the tenth K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.40 Å. In the eleventh K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.25 Å. In the twelfth K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.61–3.32 Å. In the thirteenth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.16 Å. In the fourteenth K1+ site, K1+ is bonded in a distorted q6 geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.71–2.97 Å. In the fifteenth K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.74–3.42 Å. In the sixteenth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.65–3.09 Å. In the seventeenth K1+ site, K1+ is bonded in a 9-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.54–2.83 Å. In the eighteenth K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.58–3.10 Å. In the nineteenth K1+ site, K1+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of K–O bond distances ranging from 2.71–3.19 Å. In the twentieth K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.66–3.14 Å. There are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–3.00 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.90 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.34–3.04 Å. In the fourth Na1+ site, Na1+ is bonded in a 1-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.33–3.07 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.98 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.99 Å. In the seventh Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.72 Å. In the eighth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.45–2.95 Å. In the ninth Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.76 Å. In the tenth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.44–2.97 Å. In the eleventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.98 Å. In the twelfth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.99 Å. There are twenty-eight inequivalent Nb+4.29+ sites. In the first Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Nb–O bond distances ranging from 2.04–2.21 Å. In the second Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Nb–O bond distances ranging from 2.04–2.19 Å. In the third Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Nb–O bond distances ranging from 2.06–2.14 Å. In the fourth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and a cornercorner with one NbO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Nb–O bond distances ranging from 2.01–2.17 Å. In the fifth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Nb–O bond distances ranging from 2.05–2.12 Å. In the sixth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with three WO6 octahedra, and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Nb–O bond distances ranging from 1.96–2.19 Å. In the seventh Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, a cornercorner with one NbO4 tetrahedra, and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Nb–O bond distances ranging from 2.03–2.16 Å. In the eighth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Nb–O bond distances ranging from 2.06–2.15 Å. In the ninth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with three WO6 octahedra, and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Nb–O bond distances ranging from 1.95–2.16 Å. In the tenth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two NbO4 tetrahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Nb–O bond distances ranging from 2.02–2.20 Å. In the eleventh Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with three WO6 octahedra, and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Nb–O bond distances ranging from 1.97–2.24 Å. In the twelfth Nb+4.29+ site, Nb+4.29+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Nb–O bond distances ranging from 2.03–2.22 Å. In the thirteenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, a cornercorner with one WO6 octahedra, and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 19–25°. There are a spread of Nb–O bond distances ranging from 1.93–2.02 Å. In the fourteenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 trigonal pyramids that share corners with two NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 22–30°. There are a spread of Nb–O bond distances ranging from 1.91–2.02 Å. In the fifteenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form NbO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, a cornercorner with one WO6 octahedra, and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 25–27°. There are a spread of Nb–O bond distances ranging from 1.92–2.03 Å. In the sixteenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form NbO4 trigonal pyramids that share a cornercorner with one NbO6 octahedra, a cornercorner with one WO6 octahedra, and corners with two NbO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–36°. There are a spread of Nb–O bond distances ranging from 1.88–2.04 Å. In the seventeenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 tetrahedra that share a cornercorner with one NbO6 octahedra, a cornercorner with one WO6 octahedra, and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Nb–O bond distances ranging from 1.91–1.98 Å. In the eighteenth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 trigonal pyramids that share corners with two NbO6 octahedra and corners with two NbO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 24–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.02 Å. In the nineteenth Nb+4.29+ site, Nb+4.29+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 1.92–2.00 Å. In the twentieth Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 trigonal pyramids that share corners with two NbO6 octahedra and corners with two NbO4 tetrahedra. The corner-sharing octahedra tilt angles range from 14–31°. There are a spread of Nb–O bond distances ranging from 1.91–2.01 Å. In the twenty-first Nb+4.29+ site, Nb+4.29+ is bonded to four O2- atoms to form distorted NbO4 trigonal pyramids that share corners with two NbO6 octahedra and a cornercorner with one NbO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 18–26°. There are a spread of Nb–O bond distances ranging from 1.95–2.00 Å. In the twenty-second Nb+4.29+ site, N

36 MATERIALS SCIENCE↗

Materials Data on Li7Ca8Nb12O40 by Materials Project

Li7Ca8Nb12O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra, corners with four equivalent LiO4 trigonal pyramids, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–73°. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with four LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.97–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra, corners with four equivalent LiO4 trigonal pyramids, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 71–73°. There are one shorter (2.09 Å) and three longer (2.11 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with four LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, edges with two NbO6 octahedra, and edges with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.97–2.32 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four NbO6 octahedra and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 65–66°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. There are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.51 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.74 Å. In the third Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.46–2.58 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.59 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.42–2.65 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.65 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.51 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.74 Å. There are twelve inequivalent Nb+4.75+ sites. In the first Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the second Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the third Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the fourth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the fifth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the sixth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the seventh Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the eighth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the ninth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–35°. There are a spread of Nb–O bond distances ranging from 1.95–2.07 Å. In the tenth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. In the eleventh Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two LiO4 trigonal pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–35°. There are a spread of Nb–O bond distances ranging from 1.90–2.21 Å. In the twelfth Nb+4.75+ site, Nb+4.75+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–38°. There are a spread of Nb–O bond distances ranging from 1.84–2.30 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Nb+4.75+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Nb+4.75+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and two Nb+4.75+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+ and two Nb+4.75+ atoms. In the tenth O2- site, O2- is bonded to two Ca2+ and two Nb+4.75+ atoms to form distorted corner-sharing OCa2Nb2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ca2+, and two Nb+4.75+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Ca2+ and two Nb+4.75+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the nineteenth O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Nb+4.75+ atom. In the twenty-first O2- site, O2- is bonded to four Li1+ and one Nb+4.75+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OCa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four OLi4Nb trigonal bipyramids. In the twenty-second O2- site, O2- is bonded to three Li1+ and one Nb+4.75+ atom to form distorted OLi3Nb trigonal pyramids that share a cornercorner with one OCa2Nb2 tetrahedra and corners with three equivalent OLi3Nb trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Nb+4.75+ atoms. In the twenty-seventh O2- site, O2- is bonded to two Ca2+ and two Nb+4.75+

36 MATERIALS SCIENCE↗

Materials Data on CsTi(NbCl3)6 by Materials Project

CsTi(NbCl3)6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded in a 12-coordinate geometry to twelve Cl1- atoms. There are a spread of Cs–Cl bond distances ranging from 3.76–3.87 Å. In the second Cs1+ site, Cs1+ is bonded in a 12-coordinate geometry to twelve Cl1- atoms. There are a spread of Cs–Cl bond distances ranging from 3.76–3.86 Å. In the third Cs1+ site, Cs1+ is bonded in a 12-coordinate geometry to twelve Cl1- atoms. There are a spread of Cs–Cl bond distances ranging from 3.76–3.87 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six Cl1- atoms to form TiCl6 octahedra that share corners with six NbCl5 square pyramids. There are four shorter (2.47 Å) and two longer (2.48 Å) Ti–Cl bond lengths. In the second Ti4+ site, Ti4+ is bonded to six Cl1- atoms to form TiCl6 octahedra that share corners with six NbCl5 square pyramids. There are a spread of Ti–Cl bond distances ranging from 2.46–2.48 Å. There are twelve inequivalent Nb+2.17+ sites. In the first Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the second Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the third Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the fourth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the fifth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the sixth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the seventh Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the eighth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the ninth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.74 Å. In the tenth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.75 Å. In the eleventh Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.73 Å. In the twelfth Nb+2.17+ site, Nb+2.17+ is bonded to five Cl1- atoms to form NbCl5 square pyramids that share a cornercorner with one TiCl6 octahedra and corners with four NbCl5 square pyramids. The corner-sharing octahedral tilt angles are 42°. There are a spread of Nb–Cl bond distances ranging from 2.45–2.73 Å. There are twenty-five inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the second Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the third Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the fifth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the seventh Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the eighth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the ninth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the tenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the thirteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the sixteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the seventeenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the eighteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the nineteenth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the twentieth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the twenty-first Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+ and two Nb+2.17+ atoms. In the twenty-second Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the twenty-third Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom. In the twenty-fourth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to two Nb+2.17+ atoms. In the twenty-fifth Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Cs1+, one Ti4+, and one Nb+2.17+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nb12I21Br by Materials Project

Nb12I21Br crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are twelve inequivalent Nb sites. In the first Nb site, Nb is bonded to four I and one Br atom to form distorted NbI4Br square pyramids that share a cornercorner with one NbI4Br square pyramid and edges with four NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.89–2.91 Å. The Nb–Br bond length is 2.89 Å. In the second Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.89–2.96 Å. In the third Nb site, Nb is bonded to five I atoms to form distorted NbI5 square pyramids that share a cornercorner with one NbI5 square pyramid and edges with four NbI4Br square pyramids. There are a spread of Nb–I bond distances ranging from 2.87–2.98 Å. In the fourth Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.87–2.98 Å. In the fifth Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.85–3.04 Å. In the sixth Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.85–3.04 Å. In the seventh Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.86–2.98 Å. In the eighth Nb site, Nb is bonded to four I and one Br atom to form distorted NbI4Br square pyramids that share a cornercorner with one NbI4Br square pyramid and edges with four NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.86–2.90 Å. The Nb–Br bond length is 2.92 Å. In the ninth Nb site, Nb is bonded to five I atoms to form distorted NbI5 square pyramids that share a cornercorner with one NbI5 square pyramid and edges with four NbI4Br square pyramids. There are a spread of Nb–I bond distances ranging from 2.88–2.99 Å. In the tenth Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.88–2.99 Å. In the eleventh Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.88–3.01 Å. In the twelfth Nb site, Nb is bonded to five I atoms to form a mixture of distorted corner and edge-sharing NbI5 square pyramids. There are a spread of Nb–I bond distances ranging from 2.87–3.01 Å. There are twenty-one inequivalent I sites. In the first I site, I is bonded in a bent 120 degrees geometry to two Nb atoms. In the second I site, I is bonded in a bent 120 degrees geometry to two Nb atoms. In the third I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the fourth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the fifth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the sixth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the seventh I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the eighth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the ninth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the tenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the eleventh I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the twelfth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the thirteenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the fourteenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the fifteenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the sixteenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the seventeenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the eighteenth I site, I is bonded in a 3-coordinate geometry to three Nb atoms. In the nineteenth I site, I is bonded in a bent 120 degrees geometry to two Nb atoms. In the twentieth I site, I is bonded in a bent 120 degrees geometry to two Nb atoms. In the twenty-first I site, I is bonded in a bent 150 degrees geometry to two Nb atoms. Br is bonded in a bent 150 degrees geometry to two Nb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba20Nb19Se60 by Materials Project

Ba20Nb19Se60 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Ba sites. In the first Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.68 Å. In the second Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–25°. There are a spread of Ba–Se bond distances ranging from 3.50–3.69 Å. In the third Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the fourth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.58–3.62 Å. In the fifth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 15–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. In the sixth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–22°. There are a spread of Ba–Se bond distances ranging from 3.55–3.62 Å. In the seventh Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with five NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 21–25°. There are a spread of Ba–Se bond distances ranging from 3.49–3.67 Å. In the eighth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.71 Å. In the ninth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with five NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There are a spread of Ba–Se bond distances ranging from 3.53–3.72 Å. In the tenth Ba site, Ba is bonded to twelve Se atoms to form BaSe12 cuboctahedra that share corners with six BaSe12 cuboctahedra, corners with six NbSe6 octahedra, faces with eight BaSe12 cuboctahedra, and faces with six NbSe6 octahedra. The corner-sharing octahedra tilt angles range from 16–23°. There are a spread of Ba–Se bond distances ranging from 3.55–3.64 Å. There are eleven inequivalent Nb sites. In the first Nb site, Nb is bonded to six Se atoms to form distorted NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and a faceface with one NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.46–2.83 Å. In the second Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are a spread of Nb–Se bond distances ranging from 2.60–2.68 Å. In the third Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.63 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the fourth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the fifth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.59 Å) and three longer (2.69 Å) Nb–Se bond lengths. In the sixth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are four shorter (2.64 Å) and two longer (2.65 Å) Nb–Se bond lengths. In the seventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are three shorter (2.64 Å) and three longer (2.65 Å) Nb–Se bond lengths. In the eighth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two NbSe6 octahedra. There are five shorter (2.64 Å) and one longer (2.65 Å) Nb–Se bond lengths. In the ninth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the tenth Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. In the eleventh Nb site, Nb is bonded to six Se atoms to form NbSe6 octahedra that share corners with six BaSe12 cuboctahedra, faces with six BaSe12 cuboctahedra, and faces with two equivalent NbSe6 octahedra. All Nb–Se bond lengths are 2.64 Å. There are thirty inequivalent Se sites. In the first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the second Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–67°. In the fifth Se site, Se is bonded in a distorted single-bond geometry to four Ba and one Nb atom. In the sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the eighth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the ninth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the tenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the eleventh Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twelfth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the thirteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the fourteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the fifteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 2–68°. In the sixteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the seventeenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the eighteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the nineteenth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twentieth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-first Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–68°. In the twenty-second Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 1–69°. In the twenty-third Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fourth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–69°. In the twenty-fifth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range from 0–68°. In the twenty-sixth Se site, Se is bonded to four Ba and two Nb atoms to form a mixture of distorted face, edge, and corner-sharing SeBa4Nb2 octahedra. The corner-sharing octahedra tilt angles range f

36 MATERIALS SCIENCE↗

Materials Data on K4Li3Nb18P12(WO42)2 by Materials Project

K4Li3Nb18P12(WO42)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent K sites. In the first K site, K is bonded to eight O atoms to form distorted KO8 hexagonal bipyramids that share corners with two equivalent WO6 octahedra, corners with six NbO6 octahedra, and edges with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. There are a spread of K–O bond distances ranging from 3.16–3.24 Å. In the second K site, K is bonded in a 4-coordinate geometry to four O atoms. There are two shorter (2.83 Å) and two longer (2.84 Å) K–O bond lengths. In the third K site, K is bonded to twelve O atoms to form distorted KO12 cuboctahedra that share edges with eight NbO6 octahedra and edges with four PO4 tetrahedra. There are a spread of K–O bond distances ranging from 3.19–3.39 Å. In the fourth K site, K is bonded in a 6-coordinate geometry to four O atoms. There are two shorter (2.75 Å) and two longer (2.92 Å) K–O bond lengths. There are three inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the second Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the third Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one PO4 tetrahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. There are eleven inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the second Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of Nb–O bond distances ranging from 1.91–2.06 Å. In the third Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 18–31°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the fourth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of Nb–O bond distances ranging from 1.84–2.18 Å. In the fifth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–24°. There are a spread of Nb–O bond distances ranging from 1.86–2.21 Å. In the sixth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–24°. There are a spread of Nb–O bond distances ranging from 1.85–2.22 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four PO4 tetrahedra, and a faceface with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of Nb–O bond distances ranging from 1.83–2.22 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra, corners with two PO4 tetrahedra, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 22–34°. There are a spread of Nb–O bond distances ranging from 1.87–2.08 Å. In the ninth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, corners with four NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of Nb–O bond distances ranging from 1.86–2.09 Å. In the tenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of Nb–O bond distances ranging from 1.87–2.13 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, corners with two PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 11–23°. There are a spread of Nb–O bond distances ranging from 1.85–2.21 Å. W is bonded to six O atoms to form WO6 octahedra that share a cornercorner with one KO8 hexagonal bipyramid, a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–23°. There are a spread of W–O bond distances ranging from 1.80–2.16 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two NbO6 octahedra, corners with two equivalent WO6 octahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–46°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–46°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–45°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra, corners with three NbO6 octahedra, and an edgeedge with one KO8 hexagonal bipyramid. The corner-sharing octahedra tilt angles range from 32–43°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are fifty inequivalent O sites. In the first O site, O is bonded in a linear geometry to one Nb and one W atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the third O site, O is bonded in a linear geometry to two equivalent W atoms. In the fourth O site, O is bonded in a 1-coordinate geometry to one K, one W, and one P atom. In the fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Nb and one W atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Nb and one W atom. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Nb atoms. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Nb atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one K and two Nb atoms. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-second O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-third O site, O is bonded in a 3-coordinate geometry to one Li, one Nb, and one P atom. In the twenty-fourth O site, O is bonded in a linear geometry to two equivalent Nb atoms. In the twenty-fifth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Nb, and one P atom. In the twenty-eighth O site, O is bonded in a linear geometry to two equivalent Nb atoms. In the twenty-ninth O site, O is bonded in a 3-coordinate geometry

36 MATERIALS SCIENCE↗

Materials Data on Ba4Nb25O40 by Materials Project

Ba4Nb25O40 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eight NbO5 square pyramids, faces with two equivalent BaO12 cuboctahedra, and faces with eight NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.89–3.00 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eight NbO5 square pyramids, faces with two equivalent BaO12 cuboctahedra, and faces with eight NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.94–2.97 Å. There are thirteen inequivalent Nb+2.88+ sites. In the first Nb+2.88+ site, Nb+2.88+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. All Nb–O bond lengths are 2.12 Å. In the second Nb+2.88+ site, Nb+2.88+ is bonded in a square co-planar geometry to four O2- atoms. All Nb–O bond lengths are 2.12 Å. In the third Nb+2.88+ site, Nb+2.88+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.10–2.13 Å. In the fourth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.20 Å. In the fifth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.20 Å. In the sixth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.20 Å. In the seventh Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.18 Å. In the eighth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, and an edgeedge with one NbO5 square pyramid. There are a spread of Nb–O bond distances ranging from 1.98–2.24 Å. In the ninth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.17 Å. In the tenth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.20 Å. In the eleventh Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.20 Å. In the twelfth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.08–2.21 Å. In the thirteenth Nb+2.88+ site, Nb+2.88+ is bonded to five O2- atoms to form a mixture of edge and corner-sharing NbO5 square pyramids. There are a spread of Nb–O bond distances ranging from 2.04–2.16 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the fifth O2- site, O2- is bonded in a T-shaped geometry to three Nb+2.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.88+ atoms. In the tenth O2- site, O2- is bonded in a T-shaped geometry to three Nb+2.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the fifteenth O2- site, O2- is bonded in a T-shaped geometry to three Nb+2.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.88+ atoms. In the twentieth O2- site, O2- is bonded in a T-shaped geometry to three Nb+2.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb8P5 by Materials Project

Nb8P5 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are sixteen inequivalent Nb sites. In the first Nb site, Nb is bonded to five P atoms to form a mixture of distorted edge and corner-sharing NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.51–2.57 Å. In the second Nb site, Nb is bonded to five P atoms to form a mixture of distorted edge and corner-sharing NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.44–2.56 Å. In the third Nb site, Nb is bonded in a 4-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.50–2.95 Å. In the fourth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.50–2.90 Å. In the fifth Nb site, Nb is bonded to five P atoms to form a mixture of distorted edge and corner-sharing NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.45–2.60 Å. In the sixth Nb site, Nb is bonded to five P atoms to form a mixture of distorted edge and corner-sharing NbP5 trigonal bipyramids. There are a spread of Nb–P bond distances ranging from 2.53–2.59 Å. In the seventh Nb site, Nb is bonded in a distorted square co-planar geometry to four P atoms. There are two shorter (2.54 Å) and two longer (2.64 Å) Nb–P bond lengths. In the eighth Nb site, Nb is bonded in a distorted rectangular see-saw-like geometry to four P atoms. All Nb–P bond lengths are 2.59 Å. In the ninth Nb site, Nb is bonded in a distorted rectangular see-saw-like geometry to four P atoms. There are a spread of Nb–P bond distances ranging from 2.64–2.72 Å. In the tenth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.47–2.70 Å. In the eleventh Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.47–2.74 Å. In the twelfth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.50–2.64 Å. In the thirteenth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.50–2.69 Å. In the fourteenth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.52–2.72 Å. In the fifteenth Nb site, Nb is bonded in a 5-coordinate geometry to five P atoms. There are a spread of Nb–P bond distances ranging from 2.51–2.74 Å. In the sixteenth Nb site, Nb is bonded in a 3-coordinate geometry to three P atoms. There are a spread of Nb–P bond distances ranging from 2.79–2.94 Å. There are ten inequivalent P sites. In the first P site, P is bonded in a 8-coordinate geometry to eight Nb atoms. In the second P site, P is bonded in a 9-coordinate geometry to nine Nb atoms. In the third P site, P is bonded in a 7-coordinate geometry to seven Nb atoms. In the fourth P site, P is bonded in a 7-coordinate geometry to seven Nb atoms. In the fifth P site, P is bonded in a 8-coordinate geometry to eight Nb atoms. In the sixth P site, P is bonded to seven Nb atoms to form distorted face-sharing PNb7 pentagonal bipyramids. In the seventh P site, P is bonded in a 7-coordinate geometry to seven Nb atoms. In the eighth P site, P is bonded in a 8-coordinate geometry to eight Nb atoms. In the ninth P site, P is bonded to seven Nb atoms to form distorted edge-sharing PNb7 pentagonal bipyramids. In the tenth P site, P is bonded in a 7-coordinate geometry to seven Nb atoms.

36 MATERIALS SCIENCE↗

Materials Data on Nb19Fe20 by Materials Project

Nb19Fe20 is Frank-Kasper $\mu$ Phase-like structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are ten inequivalent Nb sites. In the first Nb site, Nb is bonded in a 8-coordinate geometry to eight Nb and six equivalent Fe atoms. There are a spread of Nb–Nb bond distances ranging from 2.65–3.13 Å. All Nb–Fe bond lengths are 2.71 Å. In the second Nb site, Nb is bonded in a 8-coordinate geometry to eight Nb and six equivalent Fe atoms. There are a spread of Nb–Nb bond distances ranging from 2.65–3.14 Å. All Nb–Fe bond lengths are 2.71 Å. In the third Nb site, Nb is bonded in a 8-coordinate geometry to eight Nb and six equivalent Fe atoms. There are one shorter (2.77 Å) and six longer (3.15 Å) Nb–Nb bond lengths. All Nb–Fe bond lengths are 2.69 Å. In the fourth Nb site, Nb is bonded in a 6-coordinate geometry to nine Nb and six Fe atoms. All Nb–Nb bond lengths are 2.85 Å. There are three shorter (2.78 Å) and three longer (2.81 Å) Nb–Fe bond lengths. In the fifth Nb site, Nb is bonded in a 9-coordinate geometry to nine Nb and six equivalent Fe atoms. All Nb–Nb bond lengths are 2.85 Å. All Nb–Fe bond lengths are 2.84 Å. In the sixth Nb site, Nb is bonded in a 6-coordinate geometry to nine Nb and six Fe atoms. There are three shorter (2.81 Å) and three longer (2.82 Å) Nb–Fe bond lengths. In the seventh Nb site, Nb is bonded in a 6-coordinate geometry to four Nb and twelve Fe atoms. All Nb–Nb bond lengths are 2.94 Å. There are a spread of Nb–Fe bond distances ranging from 2.79–2.96 Å. In the eighth Nb site, Nb is bonded in a 6-coordinate geometry to four Nb and twelve Fe atoms. There are a spread of Nb–Fe bond distances ranging from 2.78–2.97 Å. In the ninth Nb site, Nb is bonded in a 10-coordinate geometry to seven Nb and nine equivalent Fe atoms. There are three shorter (2.88 Å) and three longer (2.97 Å) Nb–Nb bond lengths. There are three shorter (2.91 Å) and six longer (3.00 Å) Nb–Fe bond lengths. In the tenth Nb site, Nb is bonded to six equivalent Nb and six equivalent Fe atoms to form distorted NbNb6Fe6 cuboctahedra that share corners with twelve equivalent FeNb8Fe4 cuboctahedra, edges with six equivalent NbNb6Fe6 cuboctahedra, and faces with eighteen equivalent FeNb8Fe4 cuboctahedra. All Nb–Fe bond lengths are 2.58 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to six Nb and six Fe atoms to form FeNb6Fe6 cuboctahedra that share corners with twelve FeNb7Fe5 cuboctahedra, edges with six equivalent FeNb6Fe6 cuboctahedra, and faces with eighteen FeNb7Fe5 cuboctahedra. All Fe–Fe bond lengths are 2.47 Å. In the second Fe site, Fe is bonded to eight Nb and four equivalent Fe atoms to form distorted FeNb8Fe4 cuboctahedra that share corners with two equivalent NbNb6Fe6 cuboctahedra, corners with thirteen FeNb8Fe4 cuboctahedra, edges with five FeNb8Fe4 cuboctahedra, faces with three equivalent NbNb6Fe6 cuboctahedra, and faces with ten equivalent FeNb8Fe4 cuboctahedra. There are two shorter (2.41 Å) and two longer (2.52 Å) Fe–Fe bond lengths. In the third Fe site, Fe is bonded to seven Nb and five Fe atoms to form FeNb7Fe5 cuboctahedra that share corners with fifteen FeNb6Fe6 cuboctahedra, edges with five FeNb7Fe5 cuboctahedra, and faces with thirteen FeNb6Fe6 cuboctahedra. There are two shorter (2.46 Å) and two longer (2.47 Å) Fe–Fe bond lengths. In the fourth Fe site, Fe is bonded to seven Nb and five Fe atoms to form FeNb7Fe5 cuboctahedra that share corners with fifteen FeNb6Fe6 cuboctahedra, edges with five FeNb8Fe4 cuboctahedra, and faces with thirteen FeNb6Fe6 cuboctahedra. There are two shorter (2.46 Å) and two longer (2.47 Å) Fe–Fe bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Nb3S5 by Materials Project

Nb3S5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Nb+3.33+ sites. In the first Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 45–46°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the second Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 44°. There are a spread of Nb–S bond distances ranging from 2.47–2.54 Å. In the third Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–47°. There are a spread of Nb–S bond distances ranging from 2.42–2.54 Å. In the fourth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.46–2.53 Å. In the fifth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 12–46°. There are a spread of Nb–S bond distances ranging from 2.43–2.51 Å. In the sixth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and face-sharing NbS6 pentagonal pyramids. There are a spread of Nb–S bond distances ranging from 2.47–2.52 Å. In the seventh Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Nb–S bond distances ranging from 2.48–2.55 Å. In the eighth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Nb–S bond distances ranging from 2.48–2.54 Å. In the ninth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of Nb–S bond distances ranging from 2.45–2.53 Å. In the tenth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing NbS6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 10–46°. There are a spread of Nb–S bond distances ranging from 2.44–2.54 Å. In the eleventh Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.37–2.58 Å. In the twelfth Nb+3.33+ site, Nb+3.33+ is bonded to six S2- atoms to form a mixture of edge, face, and corner-sharing NbS6 octahedra. There are a spread of Nb–S bond distances ranging from 2.39–2.60 Å. There are twenty inequivalent S2- sites. In the first S2- site, S2- is bonded to four Nb+3.33+ atoms to form distorted corner-sharing SNb4 trigonal pyramids. In the second S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the third S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the fourth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the fifth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Nb+3.33+ atoms. In the eighth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the twelfth S2- site, S2- is bonded to four Nb+3.33+ atoms to form a mixture of distorted edge and corner-sharing SNb4 trigonal pyramids. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the fifteenth S2- site, S2- is bonded to four Nb+3.33+ atoms to form distorted edge-sharing SNb4 trigonal pyramids. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the eighteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Nb+3.33+ atoms. In the twentieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Nb+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li20Nb19O60 by Materials Project

Li20Nb19O60 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-eight inequivalent Li sites. In the first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.33 Å. In the fourth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 61–65°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.34 Å. In the sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.04–2.30 Å. In the seventh Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.38 Å. In the eighth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.40 Å. In the ninth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the tenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.33 Å. In the eleventh Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with three NbO6 octahedra, edges with three NbO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 63–64°. There are a spread of Li–O bond distances ranging from 2.11–2.30 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two NbO6 octahedra and edges with three NbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the thirteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the fourteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the fifteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. In the sixteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.40 Å. In the seventeenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the eighteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the nineteenth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are three shorter (2.10 Å) and three longer (2.29 Å) Li–O bond lengths. In the twentieth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the twenty-first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the twenty-second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the twenty-third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are three shorter (2.10 Å) and three longer (2.29 Å) Li–O bond lengths. In the twenty-fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are three shorter (2.10 Å) and three longer (2.29 Å) Li–O bond lengths. In the twenty-fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the twenty-sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the twenty-seventh Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the twenty-eighth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the twenty-ninth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the thirtieth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the thirty-first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.35 Å. In the thirty-second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.08–2.29 Å. In the thirty-third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the thirty-fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the thirty-fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the thirty-sixth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.03–2.38 Å. In the thirty-seventh Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.07–2.30 Å. In the thirty-eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two NbO6 octahedra and edges with three NbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. There are thirty-five inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six NbO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the second Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six NbO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–61°. There are a spread of Nb–O bond distances ranging from 1.88–2.19 Å. In the third Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.19 Å. In the fourth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 41–43°. There are a spread of Nb–O bond distances ranging from 1.88–2.19 Å. In the fifth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with four NbO6 octahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–43°. There are a spread of Nb–O bond distances ranging from 1.83–2.19 Å. In the sixth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with four NbO6 octahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of Nb–O bond distances ranging from 1.89–2.22 Å. In the seventh Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six NbO6 octahedra, and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–59°. There are a spread of Nb–O bond distances ranging from 1.88–2.22 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–44°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the ninth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of Nb–O bond distances ranging from 1.88–2.20 Å. In the tenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of Nb–O bond distances ranging from 1.81–2.24 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the twelfth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and a faceface with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–43°. There are a spread of Nb–O bond distances ranging from 1.90–2.20 Å. In the thirteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with six NbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.20 Å. In the fourteenth Nb site, Nb is bonded to six O atoms to form distorted NbO6 octahedra that share corners with four NbO6 octahedra, an edgeedge with one LiO6 octahedra, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Nb–O bond distances ranging from 1.86–2.22 Å. In the fifteenth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the sixteenth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the seventeenth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are a spread of Nb–O bond distances ranging from 1.90–2.19 Å. In the eighteenth Nb site, Nb is bonded to six O atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra

36 MATERIALS SCIENCE↗