Search NASA⌕ Search

SEARCH · Search NASA

Results for “RECTANGULAR”

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 145 records · Page 8

Materials Data on Co29Ge13O56 by Materials Project

Co29Ge13O56 is Spinel-like structured and crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are eleven inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GeO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.13 Å. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.09–2.13 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GeO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.13 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GeO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.12 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.10–2.12 Å. In the sixth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are one shorter (2.10 Å) and five longer (2.11 Å) Co–O bond lengths. In the seventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.09–2.12 Å. In the eighth Co site, Co is bonded to four O atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is one shorter (1.95 Å) and three longer (1.96 Å) Co–O bond length. In the ninth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GeO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.12 Å. In the tenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.10–2.12 Å. In the eleventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with six GeO4 tetrahedra and edges with six CoO6 octahedra. There are three shorter (2.09 Å) and three longer (2.11 Å) Co–O bond lengths. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There is two shorter (1.80 Å) and two longer (1.81 Å) Ge–O bond length. In the second Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There is three shorter (1.80 Å) and one longer (1.81 Å) Ge–O bond length. In the third Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. All Ge–O bond lengths are 1.80 Å. In the fourth Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. All Ge–O bond lengths are 1.81 Å. In the fifth Ge site, Ge is bonded to four O atoms to form GeO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There is one shorter (1.80 Å) and three longer (1.81 Å) Ge–O bond length. There are twenty inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the second O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the third O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the sixth O site, O is bonded to four Co atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the twelfth O site, O is bonded to four Co atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three equivalent Co and one Ge atom. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to three Co and one Ge atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr3FeO8 by Materials Project

Li2Cr3FeO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are three shorter (2.02 Å) and one longer (2.03 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 2.01–2.05 Å. There are twelve inequivalent Cr+3.67+ sites. In the first Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are two shorter (2.02 Å) and four longer (2.03 Å) Cr–O bond lengths. In the second Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.03 Å. In the third Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the fourth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.04 Å. In the fifth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. In the sixth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–1.99 Å. In the seventh Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. In the eighth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.01 Å. In the ninth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.04 Å. In the tenth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.02 Å. In the eleventh Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–1.99 Å. In the twelfth Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.01 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.05 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.07 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.07 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.07 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share a cornercorner with one OLiCr2Fe tetrahedra and corners with four OLiCr3 trigonal pyramids. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the third O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with two OLiCr2Fe tetrahedra, corners with two OLiCr3 trigonal pyramids, an edgeedge with one OLiCr3 tetrahedra, and an edgeedge with one OLiCr2Fe trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with three OLiCr2Fe tetrahedra and corners with three OLiCr3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share corners with two OLiCr2Fe tetrahedra and corners with four OLiCr3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.67+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with two OLiCr2Fe tetrahedra, corners with three OLiCr3 trigonal pyramids, and an edgeedge with one OLiCr2Fe trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with two OLiCr2Fe trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share a cornercorner with one OLiCr2Fe tetrahedra, corners with three OLiCr3 trigonal pyramids, and an edgeedge with one OLiCr3 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr2Fe tetrahedra and corners with four OLiCr3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Fe3+ atom to form distorted OLiCr2Fe trigonal pyramids that share corners with four OLiCr2Fe trigonal pyramids and an edgeedge with one OLiCr3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Cr+3.67+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with three OLiCr2Fe trigonal pyramids, and an edgeedge with one OLiCr2Fe trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Fe3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.67+ at

36 MATERIALS SCIENCE↗

Materials Data on Fe13(SnO10)2 by Materials Project

Fe13(SnO10)2 is Spinel-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are fifteen inequivalent Fe+2.77+ sites. In the first Fe+2.77+ site, Fe+2.77+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three equivalent SnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the second Fe+2.77+ site, Fe+2.77+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two SnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Fe–O bond distances ranging from 1.98–2.09 Å. In the third Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent SnO6 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 fourth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.10 Å. In the fifth Fe+2.77+ site, Fe+2.77+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.90–1.97 Å. In the sixth Fe+2.77+ site, Fe+2.77+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent SnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Fe–O bond distances ranging from 1.86–1.97 Å. In the seventh Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.21 Å. In the eighth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.10 Å. In the ninth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two SnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.18 Å. In the tenth Fe+2.77+ site, Fe+2.77+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent SnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Fe–O bond distances ranging from 1.90–1.96 Å. In the eleventh Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.06–2.23 Å. In the twelfth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one SnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.06–2.17 Å. In the thirteenth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.17 Å. In the fourteenth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.06–2.19 Å. In the fifteenth Fe+2.77+ site, Fe+2.77+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent SnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.17 Å. There are two inequivalent Sn2+ sites. In the first Sn2+ site, Sn2+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.02–2.12 Å. In the second Sn2+ site, Sn2+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six FeO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.07–2.15 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the fifth O2- site, O2- is bonded to three Fe+2.77+ and one Sn2+ atom to form distorted corner-sharing OFe3Sn trigonal pyramids. In the sixth O2- site, O2- is bonded to three Fe+2.77+ and one Sn2+ atom to form distorted corner-sharing OFe3Sn trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe+2.77+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.77+ and one Sn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgV2O4 by Materials Project

MgV2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. All Mg–O bond lengths are 2.00 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three VO4 tetrahedra, and edges with six VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four VO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five VO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. There are twelve inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three MgO4 tetrahedra, corners with three VO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.10 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.11 Å. In the third V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is three shorter (1.95 Å) and one longer (1.97 Å) V–O bond length. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the fifth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is one shorter (1.93 Å) and three longer (1.97 Å) V–O bond length. In the sixth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of V–O bond distances ranging from 1.94–1.98 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with four MgO6 octahedra. There are a spread of V–O bond distances ranging from 2.04–2.08 Å. In the eighth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of V–O bond distances ranging from 1.93–2.00 Å. In the ninth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.10 Å. In the tenth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of V–O bond distances ranging from 1.94–1.99 Å. In the eleventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 2.01–2.11 Å. In the twelfth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There is one shorter (1.94 Å) and three longer (1.97 Å) V–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the second O2- site, O2- is bonded to two Mg2+ and two equivalent V3+ atoms to form distorted corner-sharing OMg2V2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fourth O2- site, O2- is bonded to four V3+ atoms to form distorted OV4 trigonal pyramids that share corners with four OMg2V2 trigonal pyramids and edges with three OMgV3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form distorted OMgV3 trigonal pyramids that share corners with four OMg2V2 trigonal pyramids and edges with three OMgV3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the eighth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form distorted OMgV3 trigonal pyramids that share corners with three equivalent OMg2V2 trigonal pyramids and edges with three OV4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent V3+ atoms to form distorted corner-sharing OMg2V2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four V3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form distorted corner-sharing OMgV3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Zn(CuO2)2 by Materials Project

Zn(CuO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CuO4 tetrahedra, edges with three CuO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.03 Å. In the second Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is two shorter (1.92 Å) and two longer (1.93 Å) Cu–O bond length. In the third Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.04 Å. In the fourth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.03 Å. In the fifth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Cu–O bond distances ranging from 1.89–1.92 Å. In the sixth Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CuO4 tetrahedra, edges with three CuO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.94–2.08 Å. In the seventh Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There is two shorter (1.91 Å) and two longer (1.94 Å) Cu–O bond length. In the eighth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with six CuO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Cu–O bond distances ranging from 1.92–1.96 Å. In the ninth Cu3+ site, Cu3+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Cu–O bond distances ranging from 1.89–1.97 Å. There are six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CuO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is two shorter (1.98 Å) and two longer (1.99 Å) Zn–O bond length. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.13 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.11 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.11 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CuO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four equivalent CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.06–2.10 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CuO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.11 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cu3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Cu3+ and two Zn2+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Cu3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cu3+ and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgCr2O4 by Materials Project

MgCr2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Mg–O bond distances ranging from 1.97–2.03 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CrO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four CrO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.12 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CrO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six CrO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent CrO6 octahedra. There are three shorter (2.09 Å) and three longer (2.10 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five CrO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.12 Å. There are nine inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four CrO4 tetrahedra, edges with three MgO6 octahedra, and edges with three CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the second Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent CrO4 tetrahedra, edges with two MgO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the fifth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five CrO4 tetrahedra, edges with three MgO6 octahedra, and edges with three CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.04 Å. In the seventh Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There is two shorter (1.90 Å) and two longer (1.99 Å) Cr–O bond length. In the eighth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six MgO6 octahedra and corners with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the ninth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Cr–O bond distances ranging from 1.93–2.04 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cr3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cr3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cr3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cr3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Cr3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Cr3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Cr3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on ZnCr2O4 by Materials Project

ZnCr2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CrO4 tetrahedra, edges with three CrO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the second Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six CrO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent CrO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four ZnO6 octahedra. There are one shorter (2.03 Å) and five longer (2.04 Å) Cr–O bond lengths. In the fifth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six CrO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CrO4 tetrahedra, edges with three CrO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the seventh Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six CrO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Cr–O bond distances ranging from 1.90–2.00 Å. In the eighth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with six CrO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Cr–O bond distances ranging from 1.91–2.02 Å. In the ninth Cr3+ site, Cr3+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Cr–O bond distances ranging from 1.92–2.05 Å. There are six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Zn–O bond distances ranging from 1.98–2.05 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CrO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.12–2.14 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CrO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.16 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CrO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.12–2.14 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CrO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four equivalent CrO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.14 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CrO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CrO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.03–2.18 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cr3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cr3+ and two Zn2+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cr3+ and two Zn2+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cr3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Cr3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Cr3+ and two Zn2+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Cr3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgV2O4 by Materials Project

MgV2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four VO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five VO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five VO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. There are twelve inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the second V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of V–O bond distances ranging from 1.93–1.98 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent VO4 tetrahedra, edges with two MgO6 octahedra, and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.13 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.04–2.07 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with four MgO6 octahedra. There are a spread of V–O bond distances ranging from 2.05–2.07 Å. In the sixth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of V–O bond distances ranging from 1.94–1.98 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO4 tetrahedra, edges with two equivalent VO6 octahedra, and edges with four MgO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the eighth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.03–2.08 Å. In the ninth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of V–O bond distances ranging from 1.92–1.98 Å. In the tenth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five VO4 tetrahedra, edges with three MgO6 octahedra, and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.03–2.09 Å. In the eleventh V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with six MgO6 octahedra and corners with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of V–O bond distances ranging from 1.93–1.98 Å. In the twelfth V3+ site, V3+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of V–O bond distances ranging from 1.94–1.98 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and two V3+ atoms to form distorted corner-sharing OMg2V2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twelfth O2- site, O2- is bonded to two Mg2+ and two V3+ atoms to form distorted corner-sharing OMg2V2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the seventeenth O2- site, O2- is bonded to two Mg2+ and two V3+ atoms to form distorted corner-sharing OMg2V2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two V3+ atoms. In the twenty-first O2- site, O2- is bonded to four V3+ atoms to form distorted OV4 trigonal pyramids that share corners with three OMg2V2 trigonal pyramids and edges with two OMgV3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form distorted OMgV3 trigonal pyramids that share corners with three OMg2V2 trigonal pyramids and edges with two OMgV3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form distorted OMgV3 trigonal pyramids that share corners with three equivalent OMg2V2 trigonal pyramids and edges with two OV4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg(NiO2)2 by Materials Project

Mg(NiO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.96–2.00 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.06 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.96–2.00 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four NiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.06 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six NiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.07 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six NiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.04–2.08 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five NiO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six NiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.02–2.07 Å. There are twelve inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three MgO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.90–2.06 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent NiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.06 Å. In the third Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There is two shorter (1.88 Å) and two longer (1.90 Å) Ni–O bond length. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four NiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–2.02 Å. In the fifth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Ni–O bond distances ranging from 1.89–1.94 Å. In the sixth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Ni–O bond distances ranging from 1.83–1.88 Å. In the seventh Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NiO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–2.02 Å. In the eighth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There is three shorter (1.91 Å) and one longer (1.93 Å) Ni–O bond length. In the ninth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five NiO4 tetrahedra, edges with three MgO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.10 Å. In the tenth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with six MgO6 octahedra and corners with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the eleventh Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent NiO4 tetrahedra, edges with two MgO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the twelfth Ni3+ site, Ni3+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–62°. There is two shorter (1.96 Å) and two longer (1.98 Å) Ni–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Mg2+ and two Ni3+ atoms to form distorted OMg2Ni2 trigonal pyramids that share a cornercorner with one OMg2Ni2 tetrahedra, corners with five OMgNi3 trigonal pyramids, and an edgeedge with one OMg2Ni2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two equivalent Ni3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ni3+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and two Ni3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ni2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the eighth O2- site, O2- is bonded to one Mg2+ and three Ni3+ atoms to form distorted corner-sharing OMgNi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ni3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ni3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ni3+ atoms. In the eighteenth O2- site, O2- is bonded to two Mg2+ and two Ni3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ni2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Ni3+ atoms to form distorted corner-sharing OMg2Ni2 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ni3+ atoms. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Ni3+ atoms to form distorted OMgNi3 trigonal pyramids that share corners with two equivalent OMg2Ni2 tetrahedra, corners with four OMgNi3 trigonal pyramids, and an edgeedge with one OMgNi3 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ni3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca(WO2)2 by Materials Project

Ca(WO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine WO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Ca–O bond distances ranging from 2.20–2.32 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three CaO4 tetrahedra, corners with three WO4 tetrahedra, and edges with six WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.36 Å. In the third Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine WO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ca–O bond distances ranging from 2.22–2.32 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four WO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.44 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six WO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.39 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six WO4 tetrahedra, edges with two CaO6 octahedra, and edges with four WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.42 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five WO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.38 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six WO4 tetrahedra, edges with two CaO6 octahedra, and edges with four WO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.41 Å. There are twelve inequivalent W3+ sites. In the first W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three CaO4 tetrahedra, corners with three WO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with four WO6 octahedra. There are a spread of W–O bond distances ranging from 2.14–2.26 Å. In the second W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent WO4 tetrahedra, edges with two CaO6 octahedra, and edges with four WO6 octahedra. There are a spread of W–O bond distances ranging from 2.15–2.29 Å. In the third W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with six CaO6 octahedra and corners with six WO6 octahedra. The corner-sharing octahedra tilt angles range from 49–67°. There are a spread of W–O bond distances ranging from 2.02–2.07 Å. In the fourth W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four WO4 tetrahedra, edges with three CaO6 octahedra, and edges with three WO6 octahedra. There are a spread of W–O bond distances ranging from 2.14–2.26 Å. In the fifth W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine WO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of W–O bond distances ranging from 2.08–2.16 Å. In the sixth W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with six CaO6 octahedra and corners with six WO6 octahedra. The corner-sharing octahedra tilt angles range from 52–73°. There are a spread of W–O bond distances ranging from 2.14–2.19 Å. In the seventh W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six WO4 tetrahedra, edges with two equivalent WO6 octahedra, and edges with four CaO6 octahedra. There are a spread of W–O bond distances ranging from 2.15–2.24 Å. In the eighth W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with six CaO6 octahedra and corners with six WO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of W–O bond distances ranging from 2.12–2.20 Å. In the ninth W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five WO4 tetrahedra, edges with three CaO6 octahedra, and edges with three WO6 octahedra. There are a spread of W–O bond distances ranging from 2.15–2.24 Å. In the tenth W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with six CaO6 octahedra and corners with six WO6 octahedra. The corner-sharing octahedra tilt angles range from 48–70°. There are one shorter (2.04 Å) and three longer (2.09 Å) W–O bond lengths. In the eleventh W3+ site, W3+ is bonded to six O2- atoms to form WO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent WO4 tetrahedra, edges with two CaO6 octahedra, and edges with four WO6 octahedra. There are a spread of W–O bond distances ranging from 2.14–2.23 Å. In the twelfth W3+ site, W3+ is bonded to four O2- atoms to form WO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine WO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of W–O bond distances ranging from 2.07–2.38 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two W3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two equivalent W3+ atoms. In the third O2- site, O2- is bonded to one Ca2+ and three W3+ atoms to form distorted OCaW3 trigonal pyramids that share a cornercorner with one OW4 tetrahedra and a cornercorner with one OCa2W2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four W3+ atoms. In the fifth O2- site, O2- is bonded to two Ca2+ and two W3+ atoms to form distorted OCa2W2 trigonal pyramids that share a cornercorner with one OCaW3 tetrahedra, a cornercorner with one OCa2W2 trigonal pyramid, an edgeedge with one OCaW3 tetrahedra, and an edgeedge with one OCa2W2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three W3+ atoms to form a mixture of distorted corner and edge-sharing OCaW3 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two W3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two W3+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal pyramidal geometry to one Ca2+ and three W3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two W3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two W3+ atoms. In the nineteenth O2- site, O2- is bonded to two Ca2+ and two equivalent W3+ atoms to form distorted OCa2W2 trigonal pyramids that share corners with two equivalent OW4 tetrahedra and a cornercorner with one OCaW3 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the twenty-second O2- site, O2- is bonded to four W3+ atoms to form distorted corner-sharing OW4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three W3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2TiCr3O8 by Materials Project

Li2TiCr3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 2.00–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are two shorter (2.00 Å) and two longer (2.02 Å) Li–O bond lengths. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CrO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. There are twelve inequivalent Cr+3.33+ sites. In the first Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.00 Å. In the second Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the third Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.00 Å. In the fourth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the fifth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the sixth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the seventh Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.00 Å. In the eighth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the ninth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.93–2.02 Å. In the tenth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the eleventh Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.04 Å. In the twelfth Cr+3.33+ site, Cr+3.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with three OLiTiCr2 trigonal pyramids, and an edgeedge with one OLiTiCr2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share corners with five OLiCr3 trigonal pyramids and an edgeedge with one OLiTiCr2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra and corners with six OLiTiCr2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with six OLiTiCr2 trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with three OLiTiCr2 trigonal pyramids, and edges with two OLiTiCr2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share a cornercorner with one OLiCr3 tetrahedra, corners with five OLiTiCr2 trigonal pyramids, and edges with two OLiCr3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted OLiCr3 tetrahedra that share corners with five OLiCr3 trigonal pyramids and an edgeedge with one OLiTiCr2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Cr+3.33+ atoms to form distorted corner-sharing OLiCr3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form a mixture of distorted corner and edge-sharing OLiTiCr2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Cr+3.33+ atoms. In the thirty-first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+3.33+ atoms to form distorted OLiTiCr2 trigonal pyramids that share corners with two OLiTiCr2 trigonal pyramids and an edgeedge with on

36 MATERIALS SCIENCE↗

Materials Data on Mg(FeO2)2 by Materials Project

MgFe2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is two shorter (1.98 Å) and two longer (2.01 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Mg–O bond distances ranging from 1.99–2.02 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.11 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent FeO6 octahedra. There are two shorter (2.09 Å) and four longer (2.10 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. All Mg–O bond lengths are 2.10 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.11 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are three shorter (2.09 Å) and three longer (2.11 Å) Mg–O bond lengths. There are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three MgO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MgO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Fe–O bond distances ranging from 1.92–1.98 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There is three shorter (1.93 Å) and one longer (1.99 Å) Fe–O bond length. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the eighth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three MgO6 octahedra, and edges with three FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the tenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six MgO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, edges with two MgO6 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 twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourth O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted corner and edge-sharing OFe4 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with two OFe4 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the eighth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form a mixture of distorted corner and edge-sharing OMgFe3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Fe3+ atoms. In the nineteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Fe3+ atoms to form distorted corner-sharing OMg2Fe2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Fe3+ atoms. In the twenty-second O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with five OMg2Fe2 trigonal pyramids and edges with three OMgFe3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with five OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Fe3+ atoms to form distorted OMgFe3 trigonal pyramids that share corners with three equivalent OMg2Fe2 trigonal pyramids and edges with three OFe4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ho2CdS4 by Materials Project

CdHo2S4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded to four S2- atoms to form HoS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are three shorter (2.60 Å) and one longer (2.62 Å) Ho–S bond lengths. In the second Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, edges with two equivalent CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.77 Å. In the third Ho3+ site, Ho3+ is bonded to four S2- atoms to form HoS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are three shorter (2.60 Å) and one longer (2.62 Å) Ho–S bond lengths. In the fourth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, edges with two CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.76 Å. In the fifth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, edges with two equivalent CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.70–2.77 Å. In the sixth Ho3+ site, Ho3+ is bonded to four S2- atoms to form HoS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Ho–S bond distances ranging from 2.59–2.62 Å. In the seventh Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, edges with two CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.76 Å. In the eighth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, edges with two equivalent CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.70–2.77 Å. In the ninth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, edges with two CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.72–2.75 Å. In the tenth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share a cornercorner with one HoS4 tetrahedra, corners with five CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.77 Å. In the eleventh Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with three equivalent HoS4 tetrahedra, corners with three equivalent CdS4 tetrahedra, an edgeedge with one CdS6 octahedra, and edges with five HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.77 Å. In the twelfth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share a cornercorner with one HoS4 tetrahedra, corners with five CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.70–2.77 Å. In the thirteenth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with two equivalent HoS4 tetrahedra, corners with four CdS4 tetrahedra, edges with two equivalent CdS6 octahedra, and edges with four HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.71–2.77 Å. In the fourteenth Ho3+ site, Ho3+ is bonded to four S2- atoms to form HoS4 tetrahedra that share corners with two equivalent CdS6 octahedra and corners with ten HoS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Ho–S bond distances ranging from 2.59–2.62 Å. In the fifteenth Ho3+ site, Ho3+ is bonded to six S2- atoms to form HoS6 octahedra that share corners with six CdS4 tetrahedra, an edgeedge with one CdS6 octahedra, and edges with five HoS6 octahedra. There are a spread of Ho–S bond distances ranging from 2.70–2.78 Å. There are ten inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.58 Å) and one longer (2.62 Å) Cd–S bond lengths. In the second Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.57 Å) and one longer (2.62 Å) Cd–S bond lengths. In the third Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Cd–S bond distances ranging from 2.73–2.78 Å. In the fourth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with three CdS6 octahedra and corners with nine HoS6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Cd–S bond distances ranging from 2.56–2.62 Å. In the fifth Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Cd–S bond distances ranging from 2.72–2.79 Å. In the sixth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share a cornercorner with one CdS6 octahedra and corners with eleven HoS6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Cd–S bond distances ranging from 2.56–2.61 Å. In the seventh Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with three HoS4 tetrahedra, corners with three CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Cd–S bond distances ranging from 2.71–2.79 Å. In the eighth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent CdS6 octahedra and corners with ten HoS6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Cd–S bond distances ranging from 2.55–2.63 Å. In the ninth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share a cornercorner with one CdS6 octahedra and corners with eleven HoS6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Cd–S bond distances ranging from 2.55–2.62 Å. In the tenth Cd2+ site, Cd2+ is bonded to six S2- atoms to form CdS6 octahedra that share corners with two equivalent HoS4 tetrahedra, corners with four CdS4 tetrahedra, and edges with six HoS6 octahedra. There are a spread of Cd–S bond distances ranging from 2.73–2.79 Å. There are thirty inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Ho3+ and two Cd2+ atoms. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the fourth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the fifth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Ho3+ and two Cd2+ atoms. In the seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the eighth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the ninth S2- site, S2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SHo4 trigonal pyramids. In the tenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the eleventh S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Ho3+ and two Cd2+ atoms. In the thirteenth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the fifteenth S2- site, S2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SHo4 trigonal pyramids. In the sixteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the seventeenth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the eighteenth S2- site, S2- is bonded in a distorted trigonal pyramidal geometry to three Ho3+ and one Cd2+ atom. In the nineteenth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the twentieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the twenty-first S2- site, S2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SHo4 trigonal pyramids. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the twenty-third S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the twenty-fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Ho3+ atoms. In the twenty-fifth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ho3+ and two Cd2+ atoms. In the twenty-sixth S2- site, S2- is bonded in a rectangular see-saw-like geometry to two Ho3+ and two Cd2+ atoms. In the twenty-seventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Ho3+ and one Cd2+ atom. In the twenty-eighth S2- site, S2- is bonded to three Ho3+ and one Cd2+ atom to form a mixture of distorted edge and corner-sharing SHo3Cd trigonal pyramids. In the twenty-ninth S2- site, S2- is bonded to two equivalent Ho3+ and two Cd2+ atoms to form distorted edge-sharing SHo2Cd2 trigonal pyramids. In the thirtieth S2- site, S2- is bonded to four Ho3+ atoms to form a mixture of distorted edge and corner-sharing SHo4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Yb2FeS4 by Materials Project

FeYb2S4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Yb+2.50+ sites. In the first Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent YbS6 octahedra, corners with six FeS4 tetrahedra, and edges with five YbS6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Yb–S bond distances ranging from 2.82–2.86 Å. In the second Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with four FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.71–2.89 Å. In the third Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with three equivalent YbS6 octahedra, corners with three equivalent FeS4 tetrahedra, and edges with five YbS6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Yb–S bond distances ranging from 2.64–2.81 Å. In the fourth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with five FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.79–2.92 Å. In the fifth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with four FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.80–3.00 Å. In the sixth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with five FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.78–2.82 Å. In the seventh Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six YbS6 octahedra, edges with four YbS6 octahedra, and a faceface with one FeS4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Yb–S bond distances ranging from 2.62–2.86 Å. In the eighth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra and edges with six YbS6 octahedra. There are two shorter (2.81 Å) and four longer (2.82 Å) Yb–S bond lengths. In the ninth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.78–2.84 Å. In the tenth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with five FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.79–2.84 Å. In the eleventh Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.77–2.85 Å. In the twelfth Yb+2.50+ site, Yb+2.50+ is bonded to six S2- atoms to form YbS6 octahedra that share corners with six FeS4 tetrahedra and edges with six YbS6 octahedra. There are a spread of Yb–S bond distances ranging from 2.76–2.85 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with ten YbS6 octahedra and a faceface with one YbS6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Fe–S bond distances ranging from 2.19–2.37 Å. In the second Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with eleven YbS6 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Fe–S bond distances ranging from 2.20–2.28 Å. In the third Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with twelve YbS6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Fe–S bond distances ranging from 2.24–2.27 Å. In the fourth Fe3+ site, Fe3+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Fe–S bond distances ranging from 2.28–2.84 Å. In the fifth Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with twelve YbS6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are two shorter (2.26 Å) and two longer (2.27 Å) Fe–S bond lengths. In the sixth Fe3+ site, Fe3+ is bonded to four S2- atoms to form FeS4 tetrahedra that share corners with eleven YbS6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are one shorter (2.15 Å) and three longer (2.24 Å) Fe–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Yb+2.50+ and two Fe3+ atoms. In the fourth S2- site, S2- is bonded to four Yb+2.50+ and one Fe3+ atom to form distorted corner-sharing SYb4Fe square pyramids. In the fifth S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form distorted edge-sharing SYb3Fe2 square pyramids. In the sixth S2- site, S2- is bonded to four Yb+2.50+ and one Fe3+ atom to form SYb4Fe square pyramids that share corners with five SYb4Fe square pyramids and an edgeedge with one SYb3Fe2 square pyramid. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to two Yb+2.50+ and one Fe3+ atom. In the eighth S2- site, S2- is bonded in a T-shaped geometry to three Yb+2.50+ atoms. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the eleventh S2- site, S2- is bonded to three Yb+2.50+ and two Fe3+ atoms to form distorted SYb3Fe2 square pyramids that share corners with two equivalent SYb4Fe square pyramids and edges with two equivalent SYb3Fe2 square pyramids. In the twelfth S2- site, S2- is bonded in a square co-planar geometry to three Yb+2.50+ and one Fe3+ atom. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the fourteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the fifteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the sixteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the seventeenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the eighteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the nineteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twentieth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-second S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-third S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom. In the twenty-fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three Yb+2.50+ and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Tm23Se32 by Materials Project

Tm23Se32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Tm sites. In the first Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.77–2.94 Å. In the second Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tm–Se bond distances ranging from 2.76–2.86 Å. In the third Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.78–2.87 Å. In the fourth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Tm–Se bond distances ranging from 2.74–2.88 Å. In the fifth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Tm–Se bond distances ranging from 2.77–2.91 Å. In the sixth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Tm–Se bond distances ranging from 2.73–2.88 Å. In the seventh Tm site, Tm is bonded to six Se atoms to form edge-sharing TmSe6 octahedra. There are a spread of Tm–Se bond distances ranging from 2.75–2.90 Å. In the eighth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Tm–Se bond distances ranging from 2.78–2.91 Å. In the ninth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Tm–Se bond distances ranging from 2.81–2.85 Å. In the tenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. In the eleventh Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.75–2.92 Å. In the twelfth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Tm–Se bond distances ranging from 2.77–2.95 Å. In the thirteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.80–2.83 Å. In the fourteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.94 Å. In the fifteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Tm–Se bond distances ranging from 2.74–2.89 Å. In the sixteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Tm–Se bond distances ranging from 2.81–2.87 Å. In the seventeenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.77–2.90 Å. In the eighteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Tm–Se bond distances ranging from 2.74–2.88 Å. In the nineteenth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Tm–Se bond distances ranging from 2.75–2.91 Å. In the twentieth Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Tm–Se bond distances ranging from 2.79–2.89 Å. In the twenty-first Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. In the twenty-second Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Tm–Se bond distances ranging from 2.82–2.85 Å. In the twenty-third Tm site, Tm is bonded to six Se atoms to form a mixture of edge and corner-sharing TmSe6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Tm–Se bond distances ranging from 2.79–2.90 Å. There are thirty-two inequivalent Se sites. In the first Se site, Se is bonded in a distorted T-shaped geometry to three Tm atoms. In the second Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the third Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fourth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fifth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the sixth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the seventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the eighth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the ninth Se site, Se is bonded in a T-shaped geometry to three Tm atoms. In the tenth Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the eleventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twelfth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the thirteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fourteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the fifteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the sixteenth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share a cornercorner with one SeTm6 octahedra and an edgeedge with one SeTm5 square pyramid. The corner-sharing octahedral tilt angles are 4°. In the seventeenth Se site, Se is bonded to six Tm atoms to form a mixture of edge and corner-sharing SeTm6 octahedra. In the eighteenth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm5 square pyramids, edges with two equivalent SeTm6 octahedra, and edges with four SeTm5 square pyramids. In the nineteenth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twentieth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-first Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-second Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with three SeTm5 square pyramids, an edgeedge with one SeTm6 octahedra, and edges with three SeTm5 square pyramids. In the twenty-third Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-fourth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with three SeTm5 square pyramids, an edgeedge with one SeTm6 octahedra, and edges with three SeTm5 square pyramids. In the twenty-fifth Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twenty-sixth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-seventh Se site, Se is bonded to five Tm atoms to form a mixture of edge and corner-sharing SeTm5 square pyramids. In the twenty-eighth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the twenty-ninth Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm5 square pyramids, edges with two equivalent SeTm6 octahedra, and edges with four SeTm5 square pyramids. In the thirtieth Se site, Se is bonded in a rectangular see-saw-like geometry to four Tm atoms. In the thirty-first Se site, Se is bonded to five Tm atoms to form SeTm5 square pyramids that share corners with four equivalent SeTm6 octahedra, corners with two SeTm5 square pyramids, and edges with four SeTm5 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the thirty-second Se site, Se is bonded in a distorted T-shaped geometry to three Tm atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn20O40 by Materials Project

Li9Mn20O40 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are three shorter (2.00 Å) and one longer (2.03 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. There are twenty inequivalent Mn+3.55+ sites. In the first Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the second Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the third Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the fourth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the fifth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the sixth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the seventh Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the eighth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the ninth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the tenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eleventh Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.21 Å. In the twelfth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the thirteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.22 Å. In the fourteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the fifteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the sixteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the seventeenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.23 Å. In the eighteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the nineteenth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the twentieth Mn+3.55+ site, Mn+3.55+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.55+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.55+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.55+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.55+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the thirty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the thirty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.55+ atoms. In the thirty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.55+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the thirty-six

36 MATERIALS SCIENCE↗

Materials Data on Co23O32 by Materials Project

Co23O32 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-three inequivalent Co+2.78+ sites. In the first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–2.05 Å. In the second Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.08 Å. In the third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the fourth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the fifth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the sixth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the seventh Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–65°. There is one shorter (1.95 Å) and three longer (1.96 Å) Co–O bond length. In the eighth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the ninth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.05 Å. In the tenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.03–2.12 Å. In the eleventh Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.08 Å. In the twelfth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the thirteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.13 Å. In the fourteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the fifteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the sixteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.96 Å. In the seventeenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.99 Å. In the eighteenth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the nineteenth Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. In the twentieth Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-first Co+2.78+ site, Co+2.78+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.98 Å. In the twenty-second Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Co–O bond distances ranging from 1.95–2.00 Å. In the twenty-third Co+2.78+ site, Co+2.78+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Co–O bond distances ranging from 1.93–1.97 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 Co+2.78+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the seventeenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the nineteenth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-first O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.78+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to four Co+2.78+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to four Co+2.78+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.78+ atoms. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.78+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca19(Cu12O23)2 by Materials Project

Ca19(Cu12O23)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nineteen inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.38 Å. In the second Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.29–2.86 Å. In the third Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.60 Å. In the fourth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.43 Å. In the fifth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.40 Å. In the sixth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.49 Å. In the seventh Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.30–2.95 Å. In the eighth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.64 Å. In the ninth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.47 Å. In the tenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the eleventh Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.65 Å. In the twelfth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the thirteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.28–2.44 Å. In the fourteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.41 Å. In the fifteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.44 Å. In the sixteenth Ca site, Ca is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.64 Å. In the seventeenth Ca site, Ca is bonded in a 4-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.97 Å. In the eighteenth Ca site, Ca is bonded to six O atoms to form distorted edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.50 Å. In the nineteenth Ca site, Ca is bonded to six O atoms to form edge-sharing CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.35–2.38 Å. There are twenty-four inequivalent Cu sites. In the first Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.02 Å. In the second Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.02 Å. In the third Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.02 Å. In the fifth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.94–2.00 Å. In the sixth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.92 Å. In the seventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.85–1.88 Å. In the eighth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.89–1.96 Å. In the ninth Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.85–2.06 Å. In the tenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.90 Å. In the eleventh Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.98 Å. In the twelfth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.91 Å) and one longer (1.92 Å) Cu–O bond length. In the thirteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–2.10 Å. In the fourteenth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.00 Å. In the fifteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–1.98 Å. In the sixteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is two shorter (1.89 Å) and two longer (1.90 Å) Cu–O bond length. In the seventeenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.90 Å. In the eighteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There is three shorter (1.90 Å) and one longer (1.91 Å) Cu–O bond length. In the nineteenth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.94 Å. In the twentieth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.97–2.01 Å. In the twenty-first Cu site, Cu is bonded in a T-shaped geometry to three O atoms. There are a spread of Cu–O bond distances ranging from 1.83–2.05 Å. In the twenty-second Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the twenty-third Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.92–1.94 Å. In the twenty-fourth Cu site, Cu is bonded in a rectangular see-saw-like geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.01 Å. There are forty-six inequivalent O sites. In the first O site, O is bonded to two Ca and two Cu atoms to form OCa2Cu2 tetrahedra that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and an edgeedge with one OCa3Cu2 square pyramid. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Cu atoms. In the third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the fifth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 square pyramids. In the sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share corners with four OCa3Cu2 square pyramids, a cornercorner with one OCa2Cu2 tetrahedra, an edgeedge with one OCa3Cu2 square pyramid, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the seventh O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the eighth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the ninth O site, O is bonded in a 4-coordinate geometry to two Ca and two Cu atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to two Ca and two Cu atoms. In the eleventh O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirteenth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the fourteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 trigonal bipyramids that share a cornercorner with one OCa3Cu2 square pyramid, corners with two equivalent OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 square pyramids. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the sixteenth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the seventeenth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 trigonal bipyramids, edges with two OCa3Cu2 square pyramids, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the eighteenth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the nineteenth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, corners with two equivalent OCa2Cu2 tetrahedra, and edges with three OCa3Cu2 square pyramids. In the twentieth O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-first O site, O is bonded to two Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa2Cu2 tetrahedra. In the twenty-second O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-third O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-fourth O site, O is bonded in a 5-coordinate geometry to three Ca and two Cu atoms. In the twenty-fifth O site, O is bonded in a distorted see-saw-like geometry to two Ca and two Cu atoms. In the twenty-sixth O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share a cornercorner with one OCa3Cu2 square pyramid, a cornercorner with one OCa3Cu2 trigonal bipyramid, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and an edgeedge with one OCa3Cu2 trigonal bipyramid. In the twenty-seventh O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, an edgeedge with one OCa3Cu2 square pyramid, an edgeedge with one OCa2Cu2 tetrahedra, and edges with two OCa3Cu2 trigonal bipyramids. In the twenty-eighth O site, O is bonded to three Ca and two Cu atoms to form OCa3Cu2 square pyramids that share corners with three OCa3Cu2 square pyramids, corners with two OCa2Cu2 tetrahedra, corners with two equivalent OCa3Cu2 trigonal bipyramids, and edges with three OCa3Cu2 square pyramids. In the twenty-ninth O site, O is bonded to three Ca and two Cu atoms to form a mixture of distorted edge and corner-sharing OCa3Cu2 trigonal bipyramids. In the thirtieth O site, O is bonded in a 4-coordinate geometry to three Ca and two Cu atoms. In the thirty-first O site, O is bonded to three Ca and two Cu atoms to form distorted OCa3Cu2 square pyramids that share corners with four OCa3Cu2 square pyramids, edges with two OCa3Cu2 square pyramids,

36 MATERIALS SCIENCE↗