Search NASA⌕ Search

SEARCH · Search NASA

Results for “five”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 361 records · Page 20

Materials Data on Na4FeO5 by Materials Project

Na4FeO5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Na sites. In the first Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, edges with nine NaO6 octahedra, and edges with three FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–24°. There are a spread of Na–O bond distances ranging from 2.36–2.41 Å. In the second Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with ten NaO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 13–25°. There are a spread of Na–O bond distances ranging from 2.30–2.71 Å. In the third Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with nine NaO6 octahedra, and edges with two FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–35°. There are a spread of Na–O bond distances ranging from 2.40–2.73 Å. In the fourth Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with nine NaO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 10–37°. There are a spread of Na–O bond distances ranging from 2.34–2.81 Å. In the fifth Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, corners with two equivalent FeO5 square pyramids, edges with ten NaO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Na–O bond distances ranging from 2.30–2.85 Å. In the sixth Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with six NaO6 octahedra, corners with two FeO5 square pyramids, edges with eight NaO6 octahedra, and edges with two FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 23–38°. There are a spread of Na–O bond distances ranging from 2.34–2.55 Å. In the seventh Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with five NaO6 octahedra, corners with two FeO5 square pyramids, edges with nine NaO6 octahedra, and edges with two equivalent FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 8–35°. There are a spread of Na–O bond distances ranging from 2.40–2.70 Å. In the eighth Na site, Na is bonded to six O atoms to form NaO6 octahedra that share corners with five NaO6 octahedra, corners with two FeO5 square pyramids, edges with nine NaO6 octahedra, and edges with two FeO5 square pyramids. The corner-sharing octahedra tilt angles range from 18–38°. There are a spread of Na–O bond distances ranging from 2.34–2.54 Å. In the ninth Na site, Na is bonded to six O atoms to form NaO6 octahedra that share corners with four NaO6 octahedra, corners with six FeO5 square pyramids, and edges with eight NaO6 octahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of Na–O bond distances ranging from 2.43–2.70 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with eight NaO6 octahedra and edges with eight NaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–72°. There are a spread of Fe–O bond distances ranging from 1.79–1.85 Å. In the second Fe site, Fe is bonded to five O atoms to form FeO5 square pyramids that share corners with eight NaO6 octahedra and edges with eight NaO6 octahedra. The corner-sharing octahedra tilt angles range from 3–73°. There are a spread of Fe–O bond distances ranging from 1.80–1.84 Å. There are ten inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the second O site, O is bonded to five Na and one Fe atom to form ONa5Fe octahedra that share corners with three ONa5Fe octahedra, a cornercorner with one ONa4Fe trigonal bipyramid, edges with five ONa5Fe octahedra, and an edgeedge with one ONa4Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–12°. In the third O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with two ONa5Fe octahedra, edges with eight ONa5Fe octahedra, and edges with two equivalent ONa4Fe trigonal bipyramids. The corner-sharing octahedra tilt angles range from 10–11°. In the fourth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with two ONa5Fe octahedra, corners with two equivalent ONa4Fe trigonal bipyramids, edges with five ONa5Fe octahedra, and edges with two ONa4Fe trigonal bipyramids. The corner-sharing octahedra tilt angles range from 15–19°. In the fifth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with three ONa5Fe octahedra, corners with two ONa4Fe trigonal bipyramids, edges with seven ONa5Fe octahedra, and edges with two equivalent ONa4Fe trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–19°. In the sixth O site, O is bonded to four Na and one Fe atom to form distorted ONa4Fe trigonal bipyramids that share corners with five ONa5Fe octahedra, corners with four ONa4Fe trigonal bipyramids, and edges with two ONa5Fe octahedra. The corner-sharing octahedra tilt angles range from 22–82°. In the seventh O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the eighth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with four ONa5Fe octahedra, corners with three ONa4Fe trigonal bipyramids, and edges with six ONa5Fe octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the ninth O site, O is bonded to four Na and one Fe atom to form distorted ONa4Fe trigonal bipyramids that share corners with three ONa5Fe octahedra, corners with four ONa4Fe trigonal bipyramids, and edges with five ONa5Fe octahedra. The corner-sharing octahedra tilt angles range from 22–80°. In the tenth O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6FeO5F by Materials Project

Li6FeO5F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li sites. In the first Li site, Li is bonded to three O and one F atom to form distorted LiO3F tetrahedra that share corners with two FeO4 tetrahedra, corners with five LiO3F trigonal pyramids, and edges with three LiO3F trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.90–2.05 Å. The Li–F bond length is 1.99 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 trigonal pyramids that share corners with three equivalent FeO4 tetrahedra, corners with five LiO3F trigonal pyramids, an edgeedge with one LiO3F tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the third Li site, Li is bonded to three O and one F atom to form LiO3F trigonal pyramids that share corners with three equivalent FeO4 tetrahedra, corners with five LiO4 trigonal pyramids, edges with two LiO3F tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There is two shorter (1.97 Å) and one longer (1.98 Å) Li–O bond length. The Li–F bond length is 2.10 Å. In the fourth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to three O and one F atom. There is one shorter (1.96 Å) and two longer (1.98 Å) Li–O bond length. The Li–F bond length is 2.03 Å. In the fifth Li site, Li is bonded to three O and one F atom to form distorted LiO3F trigonal pyramids that share corners with two FeO4 tetrahedra, corners with three equivalent LiO3F tetrahedra, a cornercorner with one LiO3F trigonal pyramid, and edges with three LiO3F trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. The Li–F bond length is 1.90 Å. In the sixth Li site, Li is bonded to three O and one F atom to form distorted LiO3F trigonal pyramids that share corners with two LiO3F tetrahedra, corners with five LiO4 trigonal pyramids, an edgeedge with one LiO3F tetrahedra, an edgeedge with one FeO4 tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. The Li–F bond length is 1.91 Å. In the seventh Li site, Li is bonded to three O and one F atom to form distorted LiO3F tetrahedra that share corners with two FeO4 tetrahedra, corners with three equivalent LiO3F tetrahedra, corners with four LiO3F trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.90–2.05 Å. The Li–F bond length is 1.98 Å. In the eighth Li site, Li is bonded to three O and one F atom to form distorted LiO3F tetrahedra that share corners with two FeO4 tetrahedra, corners with three equivalent LiO3F tetrahedra, corners with five LiO3F trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. The Li–F bond length is 1.90 Å. In the ninth Li site, Li is bonded to three O and one F atom to form LiO3F trigonal pyramids that share corners with three equivalent FeO4 tetrahedra, corners with five LiO4 trigonal pyramids, an edgeedge with one LiO3F tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. The Li–F bond length is 2.11 Å. In the tenth Li site, Li is bonded to four O atoms to form LiO4 trigonal pyramids that share corners with three equivalent FeO4 tetrahedra, corners with five LiO3F trigonal pyramids, edges with two LiO3F tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.02 Å. In the eleventh Li site, Li is bonded to three O and one F atom to form distorted LiO3F trigonal pyramids that share corners with three LiO3F tetrahedra, corners with five LiO4 trigonal pyramids, an edgeedge with one FeO4 tetrahedra, edges with two LiO3F tetrahedra, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.90–1.97 Å. The Li–F bond length is 1.91 Å. In the twelfth Li site, Li is bonded to three O and one F atom to form distorted LiO3F trigonal pyramids that share corners with two FeO4 tetrahedra, corners with six LiO3F tetrahedra, a cornercorner with one LiO3F trigonal pyramid, and edges with three LiO4 trigonal pyramids. There is two shorter (1.92 Å) and one longer (1.93 Å) Li–O bond length. The Li–F bond length is 2.04 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO3F tetrahedra, corners with eight LiO4 trigonal pyramids, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.79–1.83 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO3F tetrahedra, corners with eight LiO3F trigonal pyramids, and an edgeedge with one LiO3F trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.79–1.82 Å. There are ten inequivalent O sites. In the first O site, O is bonded to four Li and one Fe atom to form distorted OLi4Fe trigonal bipyramids that share corners with two equivalent FLi5 trigonal bipyramids, corners with three OLi4Fe trigonal bipyramids, corners with four OLi3Fe trigonal pyramids, an edgeedge with one FLi5 trigonal bipyramid, and edges with two OLi5 trigonal bipyramids. In the second O site, O is bonded to four Li and one Fe atom to form distorted OLi4Fe trigonal bipyramids that share corners with two equivalent FLi5 trigonal bipyramids, corners with three OLi5 trigonal bipyramids, corners with four OLi3Fe trigonal pyramids, an edgeedge with one FLi5 trigonal bipyramid, and edges with two OLi5 trigonal bipyramids. In the third O site, O is bonded to three Li and one Fe atom to form distorted OLi3Fe trigonal pyramids that share corners with five OLi4Fe trigonal bipyramids, corners with three equivalent OLi3Fe trigonal pyramids, an edgeedge with one OLi5 trigonal bipyramid, and an edgeedge with one FLi5 trigonal bipyramid. In the fourth O site, O is bonded to three Li and one Fe atom to form OLi3Fe trigonal pyramids that share corners with five OLi4Fe trigonal bipyramids, corners with three equivalent OLi3Fe trigonal pyramids, an edgeedge with one OLi5 trigonal bipyramid, and an edgeedge with one FLi5 trigonal bipyramid. In the fifth O site, O is bonded to five Li atoms to form distorted OLi5 trigonal bipyramids that share corners with two equivalent FLi5 trigonal bipyramids, corners with three OLi4Fe trigonal bipyramids, an edgeedge with one FLi5 trigonal bipyramid, edges with two OLi4Fe trigonal bipyramids, and edges with two OLi3Fe trigonal pyramids. In the sixth O site, O is bonded to three Li and one Fe atom to form OLi3Fe trigonal pyramids that share corners with five OLi4Fe trigonal bipyramids, corners with three equivalent OLi3Fe trigonal pyramids, an edgeedge with one OLi5 trigonal bipyramid, and an edgeedge with one FLi5 trigonal bipyramid. In the seventh O site, O is bonded to four Li and one Fe atom to form OLi4Fe trigonal bipyramids that share a cornercorner with one FLi5 trigonal bipyramid, corners with two OLi4Fe trigonal bipyramids, corners with six OLi3Fe trigonal pyramids, an edgeedge with one FLi5 trigonal bipyramid, and edges with two OLi5 trigonal bipyramids. In the eighth O site, O is bonded to five Li atoms to form distorted OLi5 trigonal bipyramids that share corners with two equivalent FLi5 trigonal bipyramids, corners with three OLi4Fe trigonal bipyramids, an edgeedge with one FLi5 trigonal bipyramid, edges with two OLi4Fe trigonal bipyramids, and edges with two OLi3Fe trigonal pyramids. In the ninth O site, O is bonded to four Li and one Fe atom to form OLi4Fe trigonal bipyramids that share a cornercorner with one FLi5 trigonal bipyramid, corners with two OLi4Fe trigonal bipyramids, corners with six OLi3Fe trigonal pyramids, an edgeedge with one FLi5 trigonal bipyramid, and edges with two OLi5 trigonal bipyramids. In the tenth O site, O is bonded to three Li and one Fe atom to form OLi3Fe trigonal pyramids that share corners with five OLi4Fe trigonal bipyramids, corners with three equivalent OLi3Fe trigonal pyramids, an edgeedge with one OLi5 trigonal bipyramid, and an edgeedge with one FLi5 trigonal bipyramid. There are two inequivalent F sites. In the first F site, F is bonded to five Li atoms to form distorted FLi5 trigonal bipyramids that share corners with five OLi5 trigonal bipyramids, edges with three OLi4Fe trigonal bipyramids, and edges with two OLi3Fe trigonal pyramids. In the second F site, F is bonded to five Li atoms to form distorted FLi5 trigonal bipyramids that share corners with five OLi5 trigonal bipyramids, edges with three OLi4Fe trigonal bipyramids, and edges with two OLi3Fe trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Zr32N17O39 by Materials Project

Zr32N17O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Zr sites. In the first Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.29 Å. In the second Zr site, Zr is bonded in a body-centered cubic geometry to one N and seven O atoms. The Zr–N bond length is 2.20 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.35 Å. In the third Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O5 pentagonal bipyramids and edges with six ZrN3O4 pentagonal bipyramids. There are two shorter (2.15 Å) and two longer (2.17 Å) Zr–N bond lengths. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the fourth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.18–2.32 Å. In the fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the seventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.25 Å. In the ninth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the tenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the eleventh Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.20 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twelfth Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Zr–N bond distances ranging from 2.18–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.31 Å. In the thirteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the fourteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the fifteenth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the sixteenth Zr site, Zr is bonded to four N and two O atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. There are a spread of Zr–N bond distances ranging from 2.13–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventeenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are four shorter (2.20 Å) and four longer (2.30 Å) Zr–O bond lengths. In the eighteenth Zr site, Zr is bonded in a body-centered cubic geometry to eight O atoms. There are a spread of Zr–O bond distances ranging from 2.19–2.30 Å. In the nineteenth Zr site, Zr is bonded to four N and two O atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O4 pentagonal bipyramids and edges with six ZrN2O5 pentagonal bipyramids. There are a spread of Zr–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the twentieth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-first Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 53°. There are one shorter (2.15 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.19–2.26 Å. In the twenty-second Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.31 Å. In the twenty-third Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.30 Å. In the twenty-fourth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are one shorter (2.17 Å) and one longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.16–2.30 Å. In the twenty-fifth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the twenty-sixth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 54°. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the twenty-seventh Zr site, Zr is bonded to three N and four O atoms to form distorted ZrN3O4 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN3O4 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN3O4 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of Zr–N bond distances ranging from 2.19–2.26 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the twenty-eighth Zr site, Zr is bonded to two N and five O atoms to form distorted ZrN2O5 pentagonal bipyramids that share a cornercorner with one ZrN4O2 octahedra, corners with two ZrN2O5 pentagonal bipyramids, an edgeedge with one ZrN4O2 octahedra, and edges with six ZrN2O5 pentagonal bipyramids. Th

36 MATERIALS SCIENCE↗

Materials Data on Sm11Y5O24 by Materials Project

Sm11Y5O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.44 Å. In the third Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fifth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.38 Å. In the sixth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Sm–O bond distances ranging from 2.33–2.43 Å. In the seventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the eighth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the ninth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. In the tenth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sm–O bond distances ranging from 2.33–2.42 Å. In the eleventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. There are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.29–2.38 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.38 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.39 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the second O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the third O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the fifth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, and edges with four OSm2Y2 tetrahedra. In the seventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the eighth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the tenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OSm2Y2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm3Y trigonal pyramids. In the twentieth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Sm3+ and three Y3+ atoms to form distorted OSmY3 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm2Y2 tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with three OSm2Y2 tetrahedra, and an edgeedge with one OSm4 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyr

36 MATERIALS SCIENCE↗

Materials Data on Li2Co4OF8 by Materials Project

Li2Co4OF8 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 one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Li–O bond length is 2.44 Å. There are a spread of Li–F bond distances ranging from 1.96–2.14 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.96–2.48 Å. In the third Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with five CoOF5 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Li–O bond length is 1.99 Å. There are a spread of Li–F bond distances ranging from 1.88–2.34 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.96 Å. There are a spread of Li–F bond distances ranging from 1.87–2.53 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.95 Å. There are a spread of Li–F bond distances ranging from 1.92–2.56 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Li–F bond distances ranging from 1.93–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with seven CoOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Li–F bond distances ranging from 1.93–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with nine CoF6 octahedra, edges with two equivalent CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–F bond distances ranging from 1.94–2.39 Å. There are sixteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are one shorter (2.00 Å) and one longer (2.22 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.06–2.22 Å. In the second Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoO2F4 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–59°. The Co–O bond length is 2.07 Å. There are a spread of Co–F bond distances ranging from 2.01–2.28 Å. In the third Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.88 Å. There are a spread of Co–F bond distances ranging from 2.00–2.60 Å. In the fourth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three CoOF5 octahedra, corners with four LiOF5 octahedra, and edges with three CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Co–F bond distances ranging from 1.99–2.22 Å. In the fifth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with three CoO2F4 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 1.98–2.27 Å. In the sixth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–64°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 1.98–2.25 Å. In the seventh Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two equivalent LiF6 octahedra, corners with two CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Co–F bond distances ranging from 2.00–2.19 Å. In the eighth Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with three LiOF5 octahedra, corners with four CoF6 octahedra, edges with two equivalent LiF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Co–F bond distances ranging from 2.00–2.22 Å. In the ninth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 2.01–2.37 Å. In the tenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with four CoOF5 octahedra, edges with two equivalent CoO2F4 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. The Co–O bond length is 2.02 Å. There are a spread of Co–F bond distances ranging from 2.01–2.25 Å. In the eleventh Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share a cornercorner with one CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Co–F bond distances ranging from 1.97–2.20 Å. In the twelfth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, an edgeedge with one CoOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of Co–F bond distances ranging from 1.97–2.17 Å. In the thirteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with two equivalent CoOF5 octahedra, corners with four LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–59°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 2.01–2.19 Å. In the fourteenth Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–61°. There are one shorter (1.97 Å) and one longer (2.15 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.03–2.32 Å. In the fifteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share a cornercorner with one LiF6 octahedra, corners with three CoF6 octahedra, edges with two equivalent CoF6 octahedra, and edges with three LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 35–52°. The Co–O bond length is 1.89 Å. There are a spread of Co–F bond distances ranging from 2.05–2.40 Å. In the sixteenth Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.86 Å. There are a spread of Co–F bond distances ranging from 2.02–2.60 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one FLiCo4 trigonal bipyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLiCo4 trigonal bipyramid, and an edgeedge with one FLi2Co2 trigonal pyramid. In the second O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 trigonal pyramid, and edges with three FLi2Co2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids and edges with two FLi2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Co2+ atoms to form distorted OLi2Co2 tetrahedra that share a cornercorner with one FLi2Co2 tetrahedra, corners with five FLi2Co2 trigonal pyramids, an edgeedge with one FLi2Co2 tetrahedra, edges with two FLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. There are thirty-two inequivalent F1- sites. In the first F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with two equivalent FLi2Co2 tetrahedra, corners with three FLiCo3 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with two FLi2Co2 trigonal pyramids. In the second F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with three FLiCo3 trigonal pyramids. In the third F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Co2+ atoms. In the sixth F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share corners with three FLi2Co2 trigonal pyramids, edges with two OLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. In the seventh F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, an edgeedge with one FLi2Co2 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the eighth F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, a cornercorner with one OLiCo3 trigonal pyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, and edges with three FLiCo3 trigonal pyramids. In the ninth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one OLiCo4 trigonal bipyramid, corners with four FLi2Co2 trigonal pyramids, an

36 MATERIALS SCIENCE↗

Materials Data on Y13Tm3O24 by Materials Project

Tm3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Tm–O bond distances ranging from 2.26–2.28 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. All Tm–O bond lengths are 2.27 Å. In the third Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Tm–O bond distances ranging from 2.24–2.31 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are four shorter (2.30 Å) and two longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the second O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OY2Tm2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventh O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY3Tm trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm tetrahedra that share corners with twelve OY3Tm trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Bi25O38 by Materials Project

Bi25O38 is Antimony trioxide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-five inequivalent Bi+3.04+ sites. In the first Bi+3.04+ site, Bi+3.04+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.36 Å. In the second Bi+3.04+ site, Bi+3.04+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.51 Å. In the third Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.70 Å. In the fourth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.71 Å. In the fifth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.47 Å. In the sixth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.54 Å. In the seventh Bi+3.04+ site, Bi+3.04+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.84 Å. In the eighth Bi+3.04+ site, Bi+3.04+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.89 Å. In the ninth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with four BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.12–2.72 Å. In the tenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.79 Å. In the eleventh Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.10–2.58 Å. In the twelfth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.58 Å. In the thirteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.12–2.60 Å. In the fourteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.14–2.68 Å. In the fifteenth Bi+3.04+ site, Bi+3.04+ is bonded to four O2- atoms to form corner-sharing BiO4 tetrahedra. There are two shorter (2.16 Å) and two longer (2.17 Å) Bi–O bond lengths. In the sixteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with eight BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.67 Å. In the seventeenth Bi+3.04+ site, Bi+3.04+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.46 Å. In the eighteenth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.42 Å. In the nineteenth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids and a cornercorner with one BiO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.13–2.67 Å. In the twentieth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.15–2.74 Å. In the twenty-first Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.71 Å. In the twenty-second Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with six BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.75 Å. In the twenty-third Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share corners with seven BiO5 square pyramids, a cornercorner with one BiO4 tetrahedra, and an edgeedge with one BiO5 square pyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.77 Å. In the twenty-fourth Bi+3.04+ site, Bi+3.04+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.40 Å. In the twenty-fifth Bi+3.04+ site, Bi+3.04+ is bonded to five O2- atoms to form distorted corner-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.13–2.75 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Bi+3.04+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi+3.04+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the seventeenth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the eighteenth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-third O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Bi+3.04+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Bi+3.04+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Bi+3.04+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Bi+3.04+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi+3.04+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi+3.04+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na13Ni11O24 by Materials Project

Na13Ni11O24 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–18°. There are a spread of Na–O bond distances ranging from 2.19–2.31 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.46 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.42 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.47 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.29–2.40 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.30–2.40 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Na–O bond distances ranging from 2.22–2.41 Å. There are eleven inequivalent Ni+3.18+ sites. In the first Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the second Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the third Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the fourth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.92–2.21 Å. In the fifth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the sixth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.91–2.21 Å. In the seventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the eighth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the ninth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the tenth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the eleventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on Li11Ti8Fe5O32 by Materials Project

Li11Ti8Fe5O32 is Spinel-derived structured and 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 to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.21 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–68°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra, corners with three FeO6 octahedra, and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.13 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.16 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.06 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra, corners with four FeO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Fe–O bond distances ranging from 1.89–1.94 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two LiO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.02 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, edges with two TiO6 octahedra, and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.01 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the third O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the fourth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the fifth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the sixth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Ti atoms. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Ti atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Ti atoms. In the eleventh O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twelfth O site, O is bonded to two Li and two Ti atoms to form distorted corner-sharing OLi2Ti2 trigonal pyramids. In the thirteenth O site, O is bonded to two Li and two Ti atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2TiFe trigonal pyramid. In the fourteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of edge and corner-sharing OLi2Ti2 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Ti, and one Fe atom. In the sixteenth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the seventeenth O site, O is bonded to two Li, one Ti, and one Fe atom to form a mixture of distorted edge and corner-sharing OLi2TiFe trigonal pyramids. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three Ti and one Fe atom. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twentieth O site, O is bonded to two Li and two Ti atoms to form a mixture of distorted edge and corner-sharing OLi2Ti2 trigonal pyramids. In the twenty-first O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and an edgeedge with one OLi2Fe2 trigonal pyramid. In the twenty-second O site, O is bonded to two Li, one Ti, and one Fe atom to form distorted OLi2TiFe trigonal pyramids that share corners with seven OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-third O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-fourth O site, O is bonded to two Li, one Ti, and one Fe atom to form OLi2TiFe trigonal pyramids that share corners with six OLi2Ti2 trigonal pyramids and edges with two OLi2Fe2 trigonal pyramids. In the twenty-fifth O site, O is bonded to two Li and two Fe atoms to form a mixture of distorted edge and corner-sharing OLi2Fe2 trigonal pyramids. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, one Ti, and two Fe atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to two Li, one Ti, and one Fe atom. In the twenty-eighth O site, O is bonded to two Li and two Fe atoms to form distorted OLi2Fe2 trigonal pyramids that share corners with five OLi2Ti2 trigonal pyramids and edges with two OLi2TiFe trigonal pyramids. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to on

36 MATERIALS SCIENCE↗

Materials Data on Li3Zn(Fe5O8)4 by Materials Project

Li3Zn(Fe5O8)4 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. There are twenty inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.12 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 1.87–1.98 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.99 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.04 Å. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.09 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.19 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is two shorter (1.91 Å) and two longer (1.94 Å) Fe–O bond length. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Fe–O bond distances ranging from 1.90–1.97 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.08 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Fe–O bond distances ranging from 1.90–2.01 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 1.88–1.98 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.13 Å. Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.98–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.95+, and one Zn2+ atom. In the eighth O2- site, O2- is bonded to three Fe+2.95+ and one Zn2+ atom to form distorted corner-sharing OZnFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Zn2+ atom to form distorted corner-sharing OZnFe3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Fe+2.95+, and one Zn2+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe+2.95+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.95+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na7(FeO4)2 by Materials Project

Na7(FeO4)2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are fourteen inequivalent Na sites. In the first Na site, Na is bonded to five O atoms to form distorted NaO5 trigonal bipyramids that share corners with three FeO4 tetrahedra, edges with two NaO6 pentagonal pyramids, and an edgeedge with one FeO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.26–2.55 Å. In the second Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent NaO6 pentagonal pyramids, corners with two FeO4 tetrahedra, edges with two FeO4 tetrahedra, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.28–2.65 Å. In the third Na site, Na is bonded to five O atoms to form distorted NaO5 trigonal bipyramids that share corners with three FeO4 tetrahedra, edges with two NaO6 pentagonal pyramids, and an edgeedge with one FeO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.30–2.55 Å. In the fourth Na site, Na is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.59 Å. In the fifth Na site, Na is bonded to six O atoms to form distorted NaO6 pentagonal pyramids that share corners with two equivalent NaO6 pentagonal pyramids, corners with two FeO4 tetrahedra, edges with two FeO4 tetrahedra, and edges with two NaO5 trigonal bipyramids. There are a spread of Na–O bond distances ranging from 2.27–2.70 Å. In the sixth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.33–2.79 Å. In the seventh Na site, Na is bonded in a distorted pentagonal planar geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.70 Å. In the eighth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.36–2.82 Å. In the ninth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.31–2.73 Å. In the tenth Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.28–2.53 Å. In the eleventh Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.70 Å. In the twelfth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.31–2.70 Å. In the thirteenth Na site, Na is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Na–O bond distances ranging from 2.29–2.51 Å. In the fourteenth Na site, Na is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.83 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, corners with two NaO5 trigonal bipyramids, and edges with two NaO6 pentagonal pyramids. There are a spread of Fe–O bond distances ranging from 1.77–1.80 Å. In the second Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 trigonal bipyramid, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.78–1.81 Å. In the third Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, corners with two NaO5 trigonal bipyramids, and edges with two NaO6 pentagonal pyramids. There are a spread of Fe–O bond distances ranging from 1.75–1.79 Å. In the fourth Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share a cornercorner with one NaO6 pentagonal pyramid, a cornercorner with one NaO5 trigonal bipyramid, and an edgeedge with one NaO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.79–1.81 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the second O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with two ONa5Fe octahedra, a cornercorner with one ONa4Fe trigonal bipyramid, and an edgeedge with one ONa5Fe octahedra. The corner-sharing octahedra tilt angles range from 38–40°. In the third O site, O is bonded in a 4-coordinate geometry to three Na and one Fe atom. In the fourth O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the fifth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share a cornercorner with one ONa5Fe octahedra, corners with two equivalent ONa4Fe trigonal bipyramids, an edgeedge with one ONa5Fe octahedra, an edgeedge with one ONa4Fe trigonal bipyramid, and a faceface with one ONa5Fe octahedra. The corner-sharing octahedral tilt angles are 39°. In the sixth O site, O is bonded to five Na and one Fe atom to form ONa5Fe octahedra that share a cornercorner with one ONa5Fe octahedra, a cornercorner with one ONa4Fe trigonal bipyramid, and edges with three ONa5Fe octahedra. The corner-sharing octahedral tilt angles are 39°. In the seventh O site, O is bonded in a 4-coordinate geometry to three Na and one Fe atom. In the eighth O site, O is bonded to four Na and one Fe atom to form distorted ONa4Fe trigonal bipyramids that share corners with four ONa5Fe octahedra, an edgeedge with one ONa5Fe octahedra, and an edgeedge with one ONa4Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 42–89°. In the ninth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with two ONa5Fe octahedra, corners with two equivalent ONa4Fe trigonal bipyramids, an edgeedge with one ONa5Fe octahedra, and an edgeedge with one ONa4Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 16–38°. In the tenth O site, O is bonded to four Na and one Fe atom to form distorted ONa4Fe trigonal bipyramids that share corners with four ONa5Fe octahedra, an edgeedge with one ONa5Fe octahedra, and an edgeedge with one ONa4Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–90°. In the eleventh O site, O is bonded in a 5-coordinate geometry to four Na and one Fe atom. In the twelfth O site, O is bonded in a 1-coordinate geometry to four Na and one Fe atom. In the thirteenth O site, O is bonded in a 1-coordinate geometry to four Na and one Fe atom. In the fourteenth O site, O is bonded to five Na and one Fe atom to form distorted ONa5Fe octahedra that share corners with two ONa5Fe octahedra, corners with two ONa4Fe trigonal bipyramids, edges with two equivalent ONa5Fe octahedra, and a faceface with one ONa5Fe octahedra. The corner-sharing octahedra tilt angles range from 16–40°. In the fifteenth O site, O is bonded in a 6-coordinate geometry to five Na and one Fe atom. In the sixteenth O site, O is bonded in a 1-coordinate geometry to four Na and one Fe atom.

36 MATERIALS SCIENCE↗

Materials Data on Li21(Co4O9)2 by Materials Project

Li21(Co4O9)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form a mixture of distorted edge and corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with three LiO4 trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with six LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the tenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.43 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three LiO4 trigonal pyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.17 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.32 Å. In the sixteenth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.66 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.07 Å. In the nineteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.87–2.07 Å. In the twentieth Li1+ site, Li1+ is bonded to four O2- atoms to form a mixture of distorted edge and corner-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the twenty-first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. There are eight inequivalent Co+1.88+ sites. In the first Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.92 Å. In the second Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.98 Å. In the third Co+1.88+ site, Co+1.88+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–2.22 Å. In the fourth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.84–1.95 Å. In the fifth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.90 Å) and one longer (1.98 Å) Co–O bond length. In the sixth Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.80–1.93 Å. In the seventh Co+1.88+ site, Co+1.88+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.83–1.98 Å. In the eighth Co+1.88+ site, Co+1.88+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.83–1.92 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 7-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the second O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 39–56°. In the third O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–63°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 48–62°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 47–62°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form OLi4Co2 octahedra that share corners with five OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with seven OLi4Co2 octahedra and edges with two OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–62°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, edges with two OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, edges with two OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 39–62°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the eleventh O2- site, O2- is bonded in a 7-coordinate geometry to five Li1+ and two Co+1.88+ atoms. In the twelfth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 48–62°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co+1.88+ atoms to form distorted OLi4Co2 octahedra that share corners with four OLi5Co octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–64°. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co+1.88+ atom. In the fifteenth O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Co+1.88+ atom. In the sixteenth O2- site, O2- is bonded to four Li1+ and one Co+1.88+ atom to form distorted OLi4Co trigonal bipyramids that share corners with five OLi4Co2 octahedra and edges with two OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 47–72°. In the seventeenth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form distorted OLi5Co octahedra that share corners with six OLi4Co2 octahedra, an edgeedge with one OLi5Co octahedra, an edgeedge with one OLi4Co trigonal bipyramid, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. In the eighteenth O2- site, O2- is bonded to five Li1+ and one Co+1.88+ atom to form OLi5Co octahedra that share corners with six OLi4Co2 octahedra, a cornercorner with one OLi4Co trigonal bipyramid, an edgeedge with one OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 37–62°.

36 MATERIALS SCIENCE↗

Materials Data on K5Na3Nb5(WO8)3 by Materials Project

K5Na3Nb5(WO8)3 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.84–2.89 Å. In the second K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.84–2.88 Å. In the third K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.84–2.88 Å. In the fourth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent KO12 cuboctahedra, corners with eight NaO12 cuboctahedra, faces with six KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.84–2.88 Å. In the fifth K1+ site, K1+ is bonded to twelve O2- atoms to form KO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of K–O bond distances ranging from 2.84–2.88 Å. There are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with twelve KO12 cuboctahedra, faces with two equivalent KO12 cuboctahedra, faces with four NaO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.81–2.83 Å. In the second Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.80–2.85 Å. In the third Na1+ site, Na1+ is bonded to twelve O2- atoms to form NaO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight KO12 cuboctahedra, faces with two equivalent NaO12 cuboctahedra, faces with four KO12 cuboctahedra, faces with three WO6 octahedra, and faces with five NbO6 octahedra. There are a spread of Na–O bond distances ranging from 2.82–2.86 Å. There are five inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 1.99–2.06 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 1.99–2.04 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Nb–O bond distances ranging from 1.99–2.06 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Nb–O bond distances ranging from 1.99–2.03 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Nb–O bond distances ranging from 2.00–2.04 Å. There are three inequivalent W5+ sites. In the first W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four WO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of W–O bond distances ranging from 1.97–2.03 Å. In the second W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of W–O bond distances ranging from 1.98–2.04 Å. In the third W5+ site, W5+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent WO6 octahedra, corners with four NbO6 octahedra, faces with three NaO12 cuboctahedra, and faces with five KO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of W–O bond distances ranging from 1.99–2.04 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two K1+, two Na1+, and two W5+ atoms to form distorted OK2Na2W2 octahedra that share corners with two equivalent OK3NaW2 octahedra and faces with three OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the second O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, one Nb5+, and one W5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two Nb5+ atoms. In the fifth O2- site, O2- is bonded to three K1+, one Na1+, and two W5+ atoms to form distorted OK3NaW2 octahedra that share corners with two equivalent OK2Na2W2 octahedra and faces with three OK4W2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, one Nb5+, and one W5+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two Nb5+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two Nb5+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, one Nb5+, and one W5+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, one Nb5+, and one W5+ atom. In the eleventh O2- site, O2- is bonded to three K1+, one Na1+, one Nb5+, and one W5+ atom to form distorted face-sharing OK3NaNbW octahedra. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to three K1+, one Na1+, one Nb5+, and one W5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, one Nb5+, and one W5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to two K1+, two Na1+, and two Nb5+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to three K1+, one Na1+, one Nb5+, and one W5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to three K1+, one Na1+, and two Nb5+ atoms. In the seventeenth O2- site, O2- is bonded to four K1+ and two W5+ atoms to form distorted OK4W2 octahedra that share corners with two equivalent OKNa3W2 octahedra and faces with three OK2Na2W2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighteenth O2- site, O2- is bonded to one K1+, three Na1+, and two W5+ atoms to form distorted OKNa3W2 octahedra that share corners with two equivalent OK4W2 octahedra and faces with three OK2Na2W2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two Nb5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four K1+, one Nb5+, and one W5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, one Nb5+, and one W5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four K1+ and two Nb5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to one K1+, three Na1+, and two Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr5Ca3Ti3Mn5O24 by Materials Project

Sr5Ca3Ti3Mn5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.79 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.79 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.79 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.79 Å. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.78 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.77 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.78 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.94–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.92–1.98 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–1.97 Å. There are five inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.94 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr3Ca5Ti3Mn5O24 by Materials Project

Sr3Ca5Ti3Mn5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.70–2.78 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.74–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.79 Å. There are five inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.63–2.79 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.63–2.79 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.79 Å. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.63–2.78 Å. In the fifth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three TiO6 octahedra, and faces with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.66–2.78 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.92–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.91–1.97 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.91–1.96 Å. There are five inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.92–1.94 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.93 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+, one Ti4+, and one Mn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr3Ca5Mn3Fe5O24 by Materials Project

Sr3Ca5Mn3Fe5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.78 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.77–2.79 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.73–2.79 Å. There are five inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.75 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.76 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.68–2.76 Å. In the fourth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with six CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.74 Å. In the fifth Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five FeO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.67–2.75 Å. There are three inequivalent Mn+5.67+ sites. In the first Mn+5.67+ site, Mn+5.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.88–1.95 Å. In the second Mn+5.67+ site, Mn+5.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mn–O bond distances ranging from 1.89–1.96 Å. In the third Mn+5.67+ site, Mn+5.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. There are five inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.90–1.93 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.94–1.98 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, faces with three SrO12 cuboctahedra, and faces with five CaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+5.67+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn+5.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Fe3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+5.67+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn+5.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Mn+5.67+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+, one Mn+5.67+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn+5.67+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ca2+ and two Mn+5.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Fe3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+5.67+, and one Fe3+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+5.67+, and one Fe3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+5.67+, and one Fe3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+5.67+, and one Fe3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Mn+5.67+, and one Fe3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Mn+5.67+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr5Ca3Ti5Mn3O24 by Materials Project

Sr5Ca3Ti5Mn3O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.81 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.81 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight CaO12 cuboctahedra, faces with six SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.82 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.72–2.82 Å. In the fifth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.71–2.81 Å. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.81 Å. In the second Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with two equivalent SrO12 cuboctahedra, faces with four CaO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.80 Å. In the third Ca2+ site, Ca2+ is bonded to twelve O2- atoms to form CaO12 cuboctahedra that share corners with four equivalent CaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four SrO12 cuboctahedra, faces with three MnO6 octahedra, and faces with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.64–2.81 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.93–1.98 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–O bond distances ranging from 1.93–1.98 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–1.98 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Ti–O bond distances ranging from 1.93–1.97 Å. There are three inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four MnO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four TiO6 octahedra, faces with three CaO12 cuboctahedra, and faces with five SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+, one Ti4+, and one Mn4+ atom. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, one Ti4+, and one Mn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to one Sr2+, three Ca2+, and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, one Ti4+, and one Mn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, one Ti4+, and one Mn4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to three Sr2+, one Ca2+, and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two Sr2+, two Ca2+, and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na16W3(NO3)4 by Materials Project

Na16W3(NO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- atoms to form NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, a cornercorner with one WNO3 tetrahedra, corners with two NaN2O2 tetrahedra, corners with two equivalent NaNO3 trigonal pyramids, an edgeedge with one NaO5 square pyramid, edges with two WNO3 tetrahedra, and an edgeedge with one NaNO3 trigonal pyramid. There are a spread of Na–O bond distances ranging from 2.31–2.56 Å. In the second Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.17–2.91 Å. In the third Na1+ site, Na1+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–2.99 Å. In the fourth Na1+ site, Na1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.16–2.96 Å. In the fifth Na1+ site, Na1+ is bonded to two N+2.50- and two O2- atoms to form distorted NaN2O2 tetrahedra that share corners with two NaO5 square pyramids, a cornercorner with one NaNO3 tetrahedra, corners with three WNO3 tetrahedra, and corners with two NaNO3 trigonal pyramids. There are one shorter (2.29 Å) and one longer (2.42 Å) Na–N bond lengths. There are one shorter (2.35 Å) and one longer (2.42 Å) Na–O bond lengths. In the sixth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to two N+2.50- and two O2- atoms. There are one shorter (2.55 Å) and one longer (2.58 Å) Na–N bond lengths. There are one shorter (2.22 Å) and one longer (2.57 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to two N+2.50- and two O2- atoms to form distorted NaN2O2 tetrahedra that share a cornercorner with one NaO5 square pyramid, a cornercorner with one NaNO3 tetrahedra, corners with three WNO3 tetrahedra, and corners with two NaNO3 trigonal pyramids. There are one shorter (2.51 Å) and one longer (2.57 Å) Na–N bond lengths. There are one shorter (2.22 Å) and one longer (2.55 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to two N+2.50- and two O2- atoms. There are one shorter (2.32 Å) and one longer (2.50 Å) Na–N bond lengths. There are one shorter (2.40 Å) and one longer (2.47 Å) Na–O bond lengths. In the ninth Na1+ site, Na1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.18–3.04 Å. In the tenth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share a cornercorner with one NaN2O2 tetrahedra, corners with two equivalent WNO3 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, edges with two NaO5 square pyramids, an edgeedge with one NaNO3 tetrahedra, and an edgeedge with one WNO3 tetrahedra. There are a spread of Na–O bond distances ranging from 2.18–2.72 Å. In the eleventh Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.80 Å. In the twelfth Na1+ site, Na1+ is bonded to five O2- atoms to form distorted NaO5 square pyramids that share corners with two equivalent NaO5 square pyramids, a cornercorner with one NaN2O2 tetrahedra, a cornercorner with one WNO3 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, an edgeedge with one NaO5 square pyramid, an edgeedge with one NaNO3 tetrahedra, and an edgeedge with one WNO3 tetrahedra. There are a spread of Na–O bond distances ranging from 2.13–2.68 Å. In the thirteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 trigonal pyramids that share a cornercorner with one NaO5 square pyramid, corners with two NaN2O2 tetrahedra, corners with four WNO3 tetrahedra, and an edgeedge with one NaO5 square pyramid. The Na–N bond length is 2.46 Å. There are two shorter (2.40 Å) and one longer (2.56 Å) Na–O bond lengths. In the fourteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with two NaN2O2 tetrahedra, corners with three WNO3 tetrahedra, and edges with two NaO5 square pyramids. The Na–N bond length is 2.40 Å. There are a spread of Na–O bond distances ranging from 2.44–2.55 Å. In the fifteenth Na1+ site, Na1+ is bonded to one N+2.50- and three O2- atoms to form distorted NaNO3 trigonal pyramids that share corners with three NaO5 square pyramids, corners with two NaN2O2 tetrahedra, and corners with three WNO3 tetrahedra. The Na–N bond length is 2.38 Å. There are a spread of Na–O bond distances ranging from 2.13–2.54 Å. In the sixteenth Na1+ site, Na1+ is bonded in a distorted rectangular see-saw-like geometry to one N+2.50- and three O2- atoms. The Na–N bond length is 2.62 Å. There are a spread of Na–O bond distances ranging from 2.25–2.75 Å. There are three inequivalent W6+ sites. In the first W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share corners with two NaN2O2 tetrahedra, corners with three NaNO3 trigonal pyramids, and edges with two NaO5 square pyramids. The W–N bond length is 1.80 Å. There is one shorter (1.87 Å) and two longer (1.88 Å) W–O bond length. In the second W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share corners with three NaO5 square pyramids, corners with four NaN2O2 tetrahedra, a cornercorner with one NaNO3 trigonal pyramid, and an edgeedge with one NaO5 square pyramid. The W–N bond length is 1.79 Å. There are a spread of W–O bond distances ranging from 1.88–1.90 Å. In the third W6+ site, W6+ is bonded to one N+2.50- and three O2- atoms to form WNO3 tetrahedra that share a cornercorner with one NaO5 square pyramid, corners with three NaN2O2 tetrahedra, corners with three NaNO3 trigonal pyramids, and an edgeedge with one NaO5 square pyramid. The W–N bond length is 1.80 Å. There is one shorter (1.87 Å) and two longer (1.88 Å) W–O bond length. There are four inequivalent N+2.50- sites. In the first N+2.50- site, N+2.50- is bonded in a trigonal non-coplanar geometry to three Na1+ atoms. In the second N+2.50- site, N+2.50- is bonded to three Na1+ and one W6+ atom to form distorted NNa3W tetrahedra that share a cornercorner with one ONa5W octahedra and corners with three ONa4W square pyramids. The corner-sharing octahedral tilt angles are 62°. In the third N+2.50- site, N+2.50- is bonded in a rectangular see-saw-like geometry to three Na1+ and one W6+ atom. In the fourth N+2.50- site, N+2.50- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one W6+ atom. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the fourth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 square pyramids that share corners with two ONa4W square pyramids, a cornercorner with one ONa5 trigonal bipyramid, an edgeedge with one ONa5W octahedra, and an edgeedge with one ONa5 trigonal bipyramid. In the fifth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 square pyramids that share corners with two ONa4W square pyramids, corners with two equivalent NNa3W tetrahedra, and a cornercorner with one ONa5 trigonal bipyramid. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the seventh O2- site, O2- is bonded to five Na1+ and one W6+ atom to form distorted ONa5W octahedra that share corners with two equivalent ONa4W square pyramids, a cornercorner with one NNa3W tetrahedra, and an edgeedge with one ONa5W octahedra. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom. In the ninth O2- site, O2- is bonded to five Na1+ atoms to form ONa5 trigonal bipyramids that share corners with two ONa5 square pyramids, an edgeedge with one ONa5W octahedra, and an edgeedge with one ONa5 square pyramid. In the tenth O2- site, O2- is bonded to four Na1+ and one W6+ atom to form distorted ONa4W square pyramids that share corners with two equivalent ONa5W octahedra, corners with two ONa5 square pyramids, a cornercorner with one NNa3W tetrahedra, and an edgeedge with one ONa5W octahedra. The corner-sharing octahedra tilt angles range from 17–23°. In the eleventh O2- site, O2- is bonded to five Na1+ and one W6+ atom to form distorted ONa5W octahedra that share an edgeedge with one ONa5W octahedra, edges with two ONa4W square pyramids, and an edgeedge with one ONa5 trigonal bipyramid. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five Na1+ and one W6+ atom.

36 MATERIALS SCIENCE↗