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Materials Data on Li(FeO2)2 by Materials Project

Li(FeO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There is two shorter (1.96 Å) and two longer (1.99 Å) Li–O bond length. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–69°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. There are sixteen inequivalent Fe sites. In the first Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Fe–O bond distances ranging from 1.91–1.94 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.80–2.01 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.03 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.10 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.82–2.00 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the eighth Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Fe–O bond distances ranging from 1.90–1.94 Å. In the ninth Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Fe–O bond distances ranging from 1.87–1.99 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.82–2.04 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.01 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.02 Å. In the thirteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.09 Å. In the fourteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.84–2.03 Å. In the fifteenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.00 Å. In the sixteenth Fe site, Fe is bonded to four O atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the sixth O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the seventh O site, O is bonded to one Li and three Fe atoms to form OLiFe3 trigonal pyramids that share corners with two OLi2Fe2 trigonal pyramids and an edgeedge with one OFe4 trigonal pyramid. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the eleventh O site, O is bonded to four Fe atoms to form distorted edge-sharing OFe4 trigonal pyramids. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the twenty-first O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-second O site, O is bonded to four Fe atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the twenty-third O site, O is bonded to one Li and three Fe atoms to form a mixture of edge and corner-sharing OLiFe3 trigonal pyramids. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-seventh O site, O is bonded to four Fe atoms to form distorted OFe4 trigonal pyramids that share a cornercorner with one OLi2Fe2 trigonal pyramid and an edgeedge with one OLiFe3 trigonal pyramid. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twenty-ninth O site, O is bonded to two Li and two Fe atoms to form corner-sharing OLi2Fe2 trigonal pyramids. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Fe3CuO8 by Materials Project

Li2Fe3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.95–1.99 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.96–1.99 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. There are twelve inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.01 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.02 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.07 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.08 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.00 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.07 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.05 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.86–2.03 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.09 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.01 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.03 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.03 Å. There are four inequivalent Cu sites. In the first Cu site, Cu is bonded to four O atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Cu–O bond distances ranging from 1.92–2.00 Å. In the second Cu site, Cu is bonded to four O atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Cu–O bond distances ranging from 1.90–2.04 Å. In the third Cu site, Cu is bonded to four O atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Cu–O bond distances ranging from 1.91–2.05 Å. In the fourth Cu site, Cu is bonded to four O atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–67°. There are a spread of Cu–O bond distances ranging from 1.91–2.03 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Fe atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the sixth O site, O is bonded in a distorted trigonal pyramidal geometry to three Fe and one Cu atom. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the eighth O site, O is bonded to one Li, two Fe, and one Cu atom to form a mixture of edge and corner-sharing OLiFe2Cu trigonal pyramids. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the eleventh O site, O is bonded to three Fe and one Cu atom to form a mixture of distorted edge and corner-sharing OFe3Cu trigonal pyramids. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Fe atoms. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the twenty-first O site, O is bonded to one Li, two Fe, and one Cu atom to form a mixture of edge and corner-sharing OLiFe2Cu trigonal pyramids. In the twenty-second O site, O is bonded to three Fe and one Cu atom to form a mixture of distorted edge and corner-sharing OFe3Cu trigonal pyramids. In the twenty-third O site, O is bonded to one Li, two Fe, and one Cu atom to form a mixture of edge and corner-sharing OLiFe2Cu trigonal pyramids. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the twenty-fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the twenty-seventh O site, O is bonded to three Fe and one Cu atom to form a mixture of distorted edge and corner-sharing OFe3Cu trigonal pyramids. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Cu atom. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirty-second O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Fe3NiO8 by Materials Project

Li2Fe3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.97–1.99 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. There are twelve inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.07 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.85–2.12 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–2.06 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.82–2.02 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.08 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.03 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.06 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.87–2.05 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–2.08 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.10 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.83–1.97 Å. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Ni–O bond distances ranging from 1.95–1.98 Å. In the second Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Ni–O bond distances ranging from 1.94–2.00 Å. In the third Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Ni–O bond distances ranging from 1.95–2.06 Å. In the fourth Ni site, Ni is bonded to four O atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–68°. There are a spread of Ni–O bond distances ranging from 1.95–2.01 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the second O site, O is bonded to two Li and two Fe atoms to form corner-sharing OLi2Fe2 trigonal pyramids. In the third O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the fifth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the sixth O site, O is bonded to three Fe and one Ni atom to form distorted corner-sharing OFe3Ni trigonal pyramids. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eighth O site, O is bonded to one Li, two Fe, and one Ni atom to form corner-sharing OLiFe2Ni trigonal pyramids. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to three Fe and one Ni atom. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the seventeenth O site, O is bonded to two Li and two Fe atoms to form distorted corner-sharing OLi2Fe2 trigonal pyramids. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the nineteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the twentieth O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the twenty-first O site, O is bonded to one Li, two Fe, and one Ni atom to form OLiFe2Ni trigonal pyramids that share corners with two OLi2Fe2 trigonal pyramids and an edgeedge with one OLiFe2Ni trigonal pyramid. In the twenty-second O site, O is bonded in a rectangular see-saw-like geometry to three Fe and one Ni atom. In the twenty-third O site, O is bonded to one Li, two Fe, and one Ni atom to form distorted corner-sharing OLiFe2Ni trigonal pyramids. In the twenty-fourth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-fifth O site, O is bonded to one Li, two Fe, and one Ni atom to form OLiFe2Ni trigonal pyramids that share corners with three OLi2Fe2 trigonal pyramids and an edgeedge with one OLiFe2Ni trigonal pyramid. In the twenty-sixth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to three Fe and one Ni atom. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirtieth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to two Li and two Fe atoms. In the thirty-second O site, O is bonded to two Li and two Fe atoms to form distorted corner-sharing OLi2Fe2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3NiO8 by Materials Project

Li2Mn3NiO8 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 six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six MnO6 octahedra. There are two shorter (2.10 Å) and four longer (2.11 Å) Li–O bond lengths. There are twelve inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.98 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Ni–O bond distances ranging from 1.95–2.04 Å. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Ni–O bond distances ranging from 1.95–2.03 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is three shorter (1.95 Å) and one longer (2.04 Å) Ni–O bond length. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is three shorter (1.95 Å) and one longer (2.04 Å) Ni–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the second O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with eight OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra, corners with seven OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with five OLiMn3 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn4+ and one Ni2+ atom to form distorted OMn3Ni tetrahedra that share corners with nine OLi2Mn2 trigonal pyramids and edges with three OLiMn2Ni trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLiMn3 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with six OLi2Mn2 trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Mn4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OMn3Ni tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OMn3Ni tetrahedra, corners with five OLiMn2Ni trigonal pyramids, an edgeedge with one OMn3Ni tetrahedra, and edges with two OLiMn2Ni trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with seven OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra, corners with six OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with two OMn3Ni tetrahedra, corners with five OLiMn2Ni trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OMn3Ni tetrahedra and corners with four OLiMn2Ni trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn4+, and one Ni2+ atom to form distorted O

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Nb2V3O16 by Materials Project

Li4Nb2V3Mn3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four VO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 2.00–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.84–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–70°. There are a spread of Li–O bond distances ranging from 1.85–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four MnO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.99–2.11 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Nb–O bond distances ranging from 1.95–2.13 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Nb–O bond distances ranging from 1.97–2.30 Å. There are three inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of V–O bond distances ranging from 1.98–2.13 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of V–O bond distances ranging from 1.87–2.15 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of V–O bond distances ranging from 2.00–2.09 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Mn–O bond distances ranging from 2.08–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, and two V4+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Mn2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two V4+, and one Mn2+ atom to form corner-sharing OLiMnV2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one V4+, and two Mn2+ atoms to form corner-sharing OLiMn2V tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Nb5+, one V4+, and one Mn2+ atom to form distorted OLiMnNbV tetrahedra that share corners with four OLiMnV2 tetrahedra and an edgeedge with one OLiMnNbV tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Nb5+, one V4+, and one Mn2+ atom to form distorted OLiMnNbV tetrahedra that share corners with four OLiMnV2 tetrahedra and an edgeedge with one OLiMnNbV tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two V4+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Mn2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, one V4+, and two Mn2+ atoms to form distorted OLiMn2V tetrahedra that share corners with five OLiMn2V tetrahedra and an edgeedge with one OLiMn2Nb tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Nb5+, and two Mn2+ atoms to form a mixture of distorted edge and corner-sharing OLiMn2Nb tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one V4+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na6Mn3(PO4)4 by Materials Project

Na6Mn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.25 Å) and one longer (2.30 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.22–2.50 Å. In the third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.30–2.64 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.68 Å. In the fifth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.42 Å. In the sixth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.74 Å. In the seventh Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.67 Å. In the eighth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.23–2.53 Å. In the ninth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.26 Å) and one longer (2.32 Å) Na–O bond lengths. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.35–2.71 Å. In the eleventh Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.67 Å. In the twelfth Na1+ site, Na1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.70 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 63–67°. There are a spread of Mn–O bond distances ranging from 2.15–2.45 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Mn–O bond distances ranging from 2.15–2.43 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–67°. There are a spread of Mn–O bond distances ranging from 2.10–2.34 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–64°. There are a spread of Mn–O bond distances ranging from 2.16–2.38 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Mn–O bond distances ranging from 2.16–2.37 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 61–66°. There are a spread of Mn–O bond distances ranging from 2.09–2.34 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–51°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–52°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Na1+, two Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded to one Na1+, two Mn2+, and one P5+ atom to form distorted corner-sharing ONaMn2P tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded to one Na1+, two Mn2+, and one P5+ atom to form distorted ONaMn2P tetrahedra that share corners with two equivalent ONaMn2P tetrahedra and a cornercorner with one ONa2MnP trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to two Na1+, one Mn2+, and one P5+ atom to form distorted corner-sharing ONa2MnP trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Na1+, one Mn2+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Mn2+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn2Co3Sn3O16 by Materials Project

Li4Mn2Co3Sn3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four SnO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one SnO6 octahedra, corners with two CoO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.75–2.15 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.81–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent MnO6 octahedra, corners with four CoO6 octahedra, and corners with five SnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two SnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Mn–O bond distances ranging from 1.98–2.25 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four SnO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one SnO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Mn–O bond distances ranging from 1.98–2.08 Å. There are three inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with four SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of Co–O bond distances ranging from 1.92–2.06 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Co–O bond distances ranging from 1.94–2.01 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with two equivalent SnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.93–2.02 Å. There are three inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Sn–O bond distances ranging from 2.06–2.12 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with two equivalent SnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Sn–O bond distances ranging from 2.06–2.13 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sn–O bond distances ranging from 2.05–2.14 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, and two Sn4+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Co+2.33+, and two Sn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Co+2.33+, and two Sn4+ atoms to form distorted OLiCoSn2 tetrahedra that share corners with two equivalent OLiMnCoSn tetrahedra and a cornercorner with one OLiMnCo2 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, two Co+2.33+, and one Sn4+ atom to form distorted OLiCo2Sn tetrahedra that share corners with four OLiMnCoSn tetrahedra, corners with three equivalent OLiCo2Sn trigonal pyramids, and an edgeedge with one OLiMnCo2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom to form distorted OLiMnCoSn tetrahedra that share corners with two equivalent OLiCoSn2 tetrahedra and corners with two OLiMnCo2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, and two Sn4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with five OLiCoSn2 tetrahedra, corners with two equivalent OLiCo2Sn trigonal pyramids, and an edgeedge with one OLiCo2Sn tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom to form distorted OLiMnCoSn tetrahedra that share corners with three OLiCo2Sn tetrahedra, a cornercorner with one OLiMnCo2 trigonal pyramid, an edgeedge with one OLiMnCo2 tetrahedra, and an edgeedge with one OLiCo2Sn trigonal pyramid. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Co+2.33+, and one Sn4+ atom to form distorted OLiCo2Sn trigonal pyramids that share corners with four OLiCo2Sn tetrahedra, corners with two equivalent OLiMnCo2 trigonal pyramids, and edges with two OLiMnCo2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and two Co+2.33+ atoms to form distorted OLiMnCo2 tetrahedra that share corners with three OLiCo2Sn tetrahedra, corners with two equivalent OLiMnCo2 trigonal pyramids, an edgeedge with one OLiMnCoSn tetrahedra, and an edgeedge with one OLiCo2Sn trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+4.50+, one Co+2.33+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaMn2O4 by Materials Project

CaMn2O4 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–72°. There are a spread of Ca–O bond distances ranging from 2.18–2.26 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with three CaO4 tetrahedra, corners with three MnO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.26–2.31 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 MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–70°. There are a spread of Ca–O bond distances ranging from 2.19–2.32 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four MnO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.33 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six MnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.26–2.31 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six MnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.36 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 MnO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five MnO6 octahedra. There are four shorter (2.28 Å) and two longer (2.31 Å) Ca–O bond lengths. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six MnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.35 Å. There are twelve inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three CaO4 tetrahedra, corners with three MnO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.31 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent MnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.07 Å. In the third Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Mn–O bond distances ranging from 2.01–2.18 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four MnO4 tetrahedra, edges with three CaO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the fifth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–66°. There are a spread of Mn–O bond distances ranging from 2.05–2.12 Å. In the sixth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Mn–O bond distances ranging from 1.99–2.11 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO4 tetrahedra, edges with two equivalent MnO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.09 Å. In the eighth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Mn–O bond distances ranging from 2.03–2.19 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five MnO4 tetrahedra, edges with three CaO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.31 Å. In the tenth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with six CaO6 octahedra and corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Mn–O bond distances ranging from 2.02–2.24 Å. In the eleventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent MnO4 tetrahedra, edges with two CaO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the twelfth Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–69°. There are a spread of Mn–O bond distances ranging from 2.11–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Mn3+ atoms to form distorted OCa2Mn2 tetrahedra that share corners with two OCa2Mn2 tetrahedra, corners with seven OCaMn3 trigonal pyramids, an edgeedge with one OCa2Mn2 tetrahedra, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the second O2- site, O2- is bonded to two Ca2+ and two equivalent Mn3+ atoms to form distorted OCa2Mn2 trigonal pyramids that share corners with two equivalent OCa2Mn2 tetrahedra, corners with seven OCaMn3 trigonal pyramids, and edges with two equivalent OCa2Mn2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Mn3+ atoms. In the fifth O2- site, O2- is bonded to two Ca2+ and two Mn3+ atoms to form distorted OCa2Mn2 tetrahedra that share a cornercorner with one OCa2Mn2 tetrahedra, corners with five OCaMn3 trigonal pyramids, and an edgeedge with one OCa2Mn2 tetrahedra. In the sixth O2- site, O2- is bonded to one Ca2+ and three Mn3+ atoms to form distorted OCaMn3 trigonal pyramids that share corners with five OCa2Mn2 tetrahedra, corners with four OCaMn3 trigonal pyramids, and edges with two OCaMn3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the eighth O2- site, O2- is bonded to one Ca2+ and three Mn3+ atoms to form distorted OCaMn3 trigonal pyramids that share corners with four equivalent OCa2Mn2 tetrahedra, corners with five OCaMn3 trigonal pyramids, and edges with two equivalent OCaMn3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Mn3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Mn3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the fourteenth O2- site, O2- is bonded to one Ca2+ and three Mn3+ atoms to form distorted OCaMn3 trigonal pyramids that share corners with four equivalent OCa2Mn2 tetrahedra and corners with two equivalent OCaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Mn3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ca2+ and two Mn3+ atoms. In the nineteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Mn3+ atoms to form distorted OCa2Mn2 tetrahedra that share corners with two equivalent OCa2Mn2 tetrahedra and corners with seven OCaMn3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Mn3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn3+ atoms. In the twenty-third O2- site, O2- is bonded to one Ca2+ and three Mn3+ atoms to form distorted OCaMn3 trigonal pyramids that share corners with four OCa2Mn2 tetrahedra, corners with two OCaMn3 trigonal pyramids, and edges with two OCaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Ca2+ and three Mn3+ atoms to form distorted OCaMn3 trigonal pyramids that share corners with three equivalent OCa2Mn2 tetrahedra and edges with two equivalent OCaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Fe3B11HO20 by Materials Project

Fe3B11HO20 crystallizes in the orthorhombic Pmn2_1 space group. The structure is three-dimensional. there are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra and corners with ten BO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 2.16–2.25 Å. In the second Fe2+ site, Fe2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 2.06–2.14 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra and corners with twelve BO4 tetrahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Fe–O bond distances ranging from 2.18–2.67 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with ten BO4 tetrahedra, and edges with two equivalent BO4 tetrahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Fe–O bond distances ranging from 2.05–2.32 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra and corners with ten BO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 2.13–2.18 Å. In the sixth Fe2+ site, Fe2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Fe–O bond distances ranging from 2.02–2.14 Å. There are eleven inequivalent B3+ sites. In the first B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with two FeO6 octahedra and corners with five BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–67°. There are a spread of B–O bond distances ranging from 1.46–1.55 Å. In the second B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with three FeO6 octahedra and corners with four BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of B–O bond distances ranging from 1.47–1.54 Å. In the third B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with three FeO6 octahedra and corners with five BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–64°. There is three shorter (1.46 Å) and one longer (1.58 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with six BO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of B–O bond distances ranging from 1.43–1.57 Å. In the fifth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with six BO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of B–O bond distances ranging from 1.45–1.51 Å. In the sixth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with six BO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of B–O bond distances ranging from 1.45–1.52 Å. In the seventh B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with three FeO6 octahedra and corners with five BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of B–O bond distances ranging from 1.45–1.57 Å. In the eighth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with three FeO6 octahedra, corners with three BO4 tetrahedra, and an edgeedge with one BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of B–O bond distances ranging from 1.44–1.55 Å. In the ninth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share corners with two FeO6 octahedra and corners with five BO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–68°. There are a spread of B–O bond distances ranging from 1.45–1.54 Å. In the tenth B3+ site, B3+ is bonded to four O2- atoms to form BO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with seven BO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of B–O bond distances ranging from 1.42–1.55 Å. In the eleventh B3+ site, B3+ is bonded to four O2- atoms to form distorted BO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with three BO4 tetrahedra, an edgeedge with one FeO6 octahedra, and an edgeedge with one BO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of B–O bond distances ranging from 1.38–1.94 Å. H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three B3+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent B3+ atoms. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Fe2+ and two equivalent B3+ atoms. In the fourth O2- site, O2- is bonded in a distorted water-like geometry to two Fe2+ and two equivalent H1+ atoms. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent B3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Fe2+ and two B3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Fe2+ and two equivalent B3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe2+ and two B3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe2+ and two B3+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Fe2+ and three B3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Fe2+ and two equivalent B3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Fe2+ and two B3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three B3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three B3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three B3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Bi(PO4)2 by Materials Project

Li3Bi(PO4)2 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 a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.58 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.57 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.56 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 66°. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one BiO6 octahedra, corners with two LiO4 tetrahedra, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. There are three inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.32–2.43 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the third Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Bi–O bond distances ranging from 2.46–2.80 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–60°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–61°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BiO6 octahedra and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–59°. There is three shorter (1.55 Å) and one longer (1.58 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the sixth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the tenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Bi3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Bi3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Bi3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+, one Bi3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Bi3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded to three Li1+ and one P5+ atom to form distorted corner-sharing OLi3P tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ba4PrDy(Cu3O7)2 by Materials Project

Ba4DyPr(Cu3O7)2 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.00 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.07 Å. Dy3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.41 Å) and four longer (2.44 Å) Dy–O bond lengths. Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.48 Å) and four longer (2.50 Å) Pr–O bond lengths. There are three inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.23 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.26 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.97 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu+2.17+ atoms. In the fifth O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.17+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Dy3+, and two equivalent Cu+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca3Al4SiO12 by Materials Project

Ca3Al4SiO12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ca sites. In the first Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with three equivalent CaO6 octahedra, and edges with three equivalent AlO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.34 Å. In the second Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, edges with three equivalent CaO6 octahedra, and edges with three equivalent AlO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.23–2.33 Å. In the third Ca site, Ca is bonded to six O atoms to form CaO6 octahedra that share corners with three equivalent SiO4 tetrahedra and corners with nine AlO4 tetrahedra. There are a spread of Ca–O bond distances ranging from 2.37–2.96 Å. There are four inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one SiO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six CaO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.12 Å. In the second Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra, corners with five CaO6 octahedra, and corners with three equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–73°. There is one shorter (1.77 Å) and three longer (1.81 Å) Al–O bond length. In the third Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra, corners with five CaO6 octahedra, and corners with three equivalent AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–66°. There is one shorter (1.78 Å) and three longer (1.80 Å) Al–O bond length. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one AlO6 octahedra, corners with five CaO6 octahedra, and corners with three equivalent AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–66°. There is one shorter (1.79 Å) and three longer (1.80 Å) Al–O bond length. Si is bonded to four O atoms to form SiO4 tetrahedra that share a cornercorner with one AlO6 octahedra, corners with five CaO6 octahedra, and corners with three equivalent AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–66°. There is two shorter (1.66 Å) and two longer (1.67 Å) Si–O bond length. There are twelve inequivalent O sites. In the first O site, O is bonded in a rectangular see-saw-like geometry to two Ca, one Al, and one Si atom. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Al atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to two Ca and two Al atoms. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to two Ca and two Al atoms. In the fifth O site, O is bonded in a 3-coordinate geometry to one Ca, one Al, and one Si atom. In the sixth O site, O is bonded in a 2-coordinate geometry to one Ca, one Al, and one Si atom. In the seventh O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the eighth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms. In the ninth O site, O is bonded in a distorted T-shaped geometry to two Ca and one Al atom. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to two Ca and one Al atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Ca, one Al, and one Si atom. In the twelfth O site, O is bonded in a trigonal planar geometry to one Ca and two Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr14C14Cl9 by Materials Project

Pr14C14Cl9 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are fourteen inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.42–2.96 Å. There are a spread of Pr–Cl bond distances ranging from 2.95–3.28 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.41–2.94 Å. There are a spread of Pr–Cl bond distances ranging from 2.94–3.25 Å. In the third Pr3+ site, Pr3+ is bonded to five C+2.36- and three Cl1- atoms to form a mixture of distorted corner and face-sharing PrC5Cl3 hexagonal bipyramids. There are a spread of Pr–C bond distances ranging from 2.43–2.76 Å. There are a spread of Pr–Cl bond distances ranging from 2.89–3.24 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to six C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.62–2.84 Å. There are two shorter (2.96 Å) and one longer (3.27 Å) Pr–Cl bond lengths. In the fifth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.44–2.72 Å. There are a spread of Pr–Cl bond distances ranging from 3.10–3.24 Å. In the sixth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to six C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.62–2.85 Å. There are a spread of Pr–Cl bond distances ranging from 2.93–3.27 Å. In the seventh Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.44–2.72 Å. There are a spread of Pr–Cl bond distances ranging from 3.09–3.24 Å. In the eighth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.42–3.02 Å. There are a spread of Pr–Cl bond distances ranging from 3.01–3.22 Å. In the ninth Pr3+ site, Pr3+ is bonded to five C+2.36- and three Cl1- atoms to form a mixture of distorted corner and face-sharing PrC5Cl3 hexagonal bipyramids. There are a spread of Pr–C bond distances ranging from 2.44–2.77 Å. There are a spread of Pr–Cl bond distances ranging from 2.92–3.25 Å. In the tenth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to five C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.40–2.98 Å. There are a spread of Pr–Cl bond distances ranging from 3.02–3.22 Å. In the eleventh Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to six C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.59–2.82 Å. There are two shorter (2.99 Å) and one longer (3.36 Å) Pr–Cl bond lengths. In the twelfth Pr3+ site, Pr3+ is bonded in a 7-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.42–2.75 Å. There are a spread of Pr–Cl bond distances ranging from 3.05–3.45 Å. In the thirteenth Pr3+ site, Pr3+ is bonded in a 2-coordinate geometry to four C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.41–2.73 Å. There are a spread of Pr–Cl bond distances ranging from 3.04–3.46 Å. In the fourteenth Pr3+ site, Pr3+ is bonded in a 9-coordinate geometry to six C+2.36- and three Cl1- atoms. There are a spread of Pr–C bond distances ranging from 2.60–2.80 Å. There are a spread of Pr–Cl bond distances ranging from 2.94–3.33 Å. There are fourteen inequivalent C+2.36- sites. In the first C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. The C–C bond length is 1.34 Å. In the second C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. The C–C bond length is 1.35 Å. In the third C+2.36- site, C+2.36- is bonded to five Pr3+ and one C+2.36- atom to form a mixture of distorted edge and corner-sharing CPr5C octahedra. The corner-sharing octahedral tilt angles are 66°. The C–C bond length is 1.36 Å. In the fourth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the fifth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. The C–C bond length is 1.35 Å. In the sixth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the seventh C+2.36- site, C+2.36- is bonded to five Pr3+ and one C+2.36- atom to form distorted corner-sharing CPr5C octahedra. The corner-sharing octahedra tilt angles range from 66–67°. The C–C bond length is 1.35 Å. In the eighth C+2.36- site, C+2.36- is bonded to five Pr3+ and one C+2.36- atom to form distorted corner-sharing CPr5C octahedra. The corner-sharing octahedral tilt angles are 67°. The C–C bond length is 1.35 Å. In the ninth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the tenth C+2.36- site, C+2.36- is bonded to five Pr3+ and one C+2.36- atom to form a mixture of distorted edge and corner-sharing CPr5C octahedra. The corner-sharing octahedra tilt angles range from 66–67°. The C–C bond length is 1.35 Å. In the eleventh C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the twelfth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the thirteenth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. In the fourteenth C+2.36- site, C+2.36- is bonded in a 6-coordinate geometry to five Pr3+ and one C+2.36- atom. There are nine inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to four Pr3+ atoms. In the second Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to four Pr3+ atoms. In the third Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the fifth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 5-coordinate geometry to five Pr3+ atoms. In the seventh Cl1- site, Cl1- is bonded in a rectangular see-saw-like geometry to four Pr3+ atoms. In the eighth Cl1- site, Cl1- is bonded in a distorted rectangular see-saw-like geometry to four Pr3+ atoms. In the ninth Cl1- site, Cl1- is bonded in a 6-coordinate geometry to six Pr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on V8Ga3(MoS6)4 by Materials Project

V8Ga3(MoS6)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent V+3.88+ sites. In the first V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, an edgeedge with one MoS6 octahedra, edges with four VS6 octahedra, and an edgeedge with one MoS6 pentagonal pyramid. There are a spread of V–S bond distances ranging from 2.27–2.58 Å. In the second V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, an edgeedge with one MoS6 octahedra, edges with four VS6 octahedra, and an edgeedge with one MoS6 pentagonal pyramid. There are a spread of V–S bond distances ranging from 2.28–2.58 Å. In the third V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with two MoS6 octahedra, edges with three VS6 octahedra, and an edgeedge with one MoS6 pentagonal pyramid. There are three shorter (2.30 Å) and three longer (2.56 Å) V–S bond lengths. In the fourth V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with two MoS6 octahedra, edges with three VS6 octahedra, and an edgeedge with one MoS6 pentagonal pyramid. There are a spread of V–S bond distances ranging from 2.28–2.58 Å. In the fifth V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with two MoS6 octahedra, and edges with four VS6 octahedra. There are a spread of V–S bond distances ranging from 2.28–2.57 Å. In the sixth V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with three VS6 octahedra, and edges with three MoS6 octahedra. There are a spread of V–S bond distances ranging from 2.30–2.56 Å. In the seventh V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with four VS6 octahedra, and edges with two equivalent MoS6 pentagonal pyramids. There are a spread of V–S bond distances ranging from 2.28–2.58 Å. In the eighth V+3.88+ site, V+3.88+ is bonded to six S2- atoms to form distorted VS6 octahedra that share corners with three GaS4 tetrahedra, edges with three VS6 octahedra, and edges with three MoS6 octahedra. There are a spread of V–S bond distances ranging from 2.28–2.59 Å. There are four inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three GaS4 tetrahedra, an edgeedge with one MoS6 octahedra, and edges with five VS6 octahedra. There are a spread of Mo–S bond distances ranging from 2.33–2.60 Å. In the second Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 pentagonal pyramids that share corners with three GaS4 tetrahedra and edges with six VS6 octahedra. There are three shorter (2.35 Å) and three longer (2.63 Å) Mo–S bond lengths. In the third Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three GaS4 tetrahedra, an edgeedge with one MoS6 octahedra, and edges with five VS6 octahedra. There are three shorter (2.35 Å) and three longer (2.63 Å) Mo–S bond lengths. In the fourth Mo2+ site, Mo2+ is bonded to six S2- atoms to form distorted MoS6 octahedra that share corners with three GaS4 tetrahedra, edges with two MoS6 octahedra, and edges with four VS6 octahedra. There are a spread of Mo–S bond distances ranging from 2.34–2.62 Å. There are three inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with three MoS6 octahedra, corners with eight VS6 octahedra, and a cornercorner with one MoS6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 64–66°. There are one shorter (2.30 Å) and three longer (2.31 Å) Ga–S bond lengths. In the second Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with two MoS6 octahedra, corners with nine VS6 octahedra, and a cornercorner with one MoS6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 64–66°. All Ga–S bond lengths are 2.31 Å. In the third Ga3+ site, Ga3+ is bonded to four S2- atoms to form GaS4 tetrahedra that share corners with four MoS6 octahedra, corners with seven VS6 octahedra, and a cornercorner with one MoS6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 64–66°. There are one shorter (2.30 Å) and three longer (2.31 Å) Ga–S bond lengths. There are twenty-four inequivalent S2- sites. In the first S2- site, S2- is bonded to three V+3.88+ and one Ga3+ atom to form a mixture of edge and corner-sharing SV3Ga tetrahedra. In the second S2- site, S2- is bonded to three V+3.88+ and one Ga3+ atom to form a mixture of edge and corner-sharing SV3Ga tetrahedra. In the third S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form distorted SV2GaMo tetrahedra that share corners with three SV2GaMo tetrahedra and edges with three SVGaMo2 tetrahedra. In the fourth S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SV2GaMo tetrahedra. In the fifth S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SV2GaMo tetrahedra. In the sixth S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form distorted SV2GaMo tetrahedra that share corners with three SV3Ga tetrahedra and edges with three SV2GaMo tetrahedra. In the seventh S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form distorted SV2GaMo tetrahedra that share corners with three SV3Ga tetrahedra and edges with three SV2GaMo tetrahedra. In the eighth S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form distorted SV2GaMo tetrahedra that share corners with three SV2GaMo tetrahedra and edges with three SV3Ga tetrahedra. In the ninth S2- site, S2- is bonded to one V+3.88+, two Mo2+, and one Ga3+ atom to form distorted SVGaMo2 tetrahedra that share corners with three SV3Ga tetrahedra and edges with three SV2GaMo tetrahedra. In the tenth S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form distorted SV2GaMo tetrahedra that share corners with three SV3Ga tetrahedra and edges with three SV2GaMo tetrahedra. In the eleventh S2- site, S2- is bonded to two V+3.88+, one Mo2+, and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SV2GaMo tetrahedra. In the twelfth S2- site, S2- is bonded to one V+3.88+, two Mo2+, and one Ga3+ atom to form a mixture of distorted edge and corner-sharing SVGaMo2 tetrahedra. In the thirteenth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to three V+3.88+ atoms. In the fifteenth S2- site, S2- is bonded in a 3-coordinate geometry to three V+3.88+ atoms. In the sixteenth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the seventeenth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the nineteenth S2- site, S2- is bonded in a 3-coordinate geometry to one V+3.88+ and two Mo2+ atoms. In the twentieth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the twenty-first S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the twenty-second S2- site, S2- is bonded in a 3-coordinate geometry to one V+3.88+ and two Mo2+ atoms. In the twenty-third S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom. In the twenty-fourth S2- site, S2- is bonded in a 3-coordinate geometry to two V+3.88+ and one Mo2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4PrGd(Cu3O7)2 by Materials Project

Ba4GdPr(Cu3O7)2 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.06 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.01 Å. Gd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.43 Å) and four longer (2.45 Å) Gd–O bond lengths. Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.48 Å) and four longer (2.50 Å) Pr–O bond lengths. There are four inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.28 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.96–2.23 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.97 Å) Cu–O bond length. In the fourth Cu+2.17+ site, Cu+2.17+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.97 Å) Cu–O bond length. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.17+ atoms to form a mixture of distorted corner, edge, and face-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Cu+2.17+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Gd3+, and two equivalent Cu+2.17+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4PrSm(Cu3O7)2 by Materials Project

Ba4SmPr(Cu3O7)2 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.06 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.02 Å. Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.46 Å) and four longer (2.48 Å) Sm–O bond lengths. Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.49 Å) and four longer (2.51 Å) Pr–O bond lengths. There are three inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.88–1.98 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.27 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.25 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.17+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms. In the fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.17+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4PrNd(Cu3O7)2 by Materials Project

Ba4NdPr(Cu3O7)2 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.79–3.02 Å. Nd3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.47 Å) and four longer (2.49 Å) Nd–O bond lengths. Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.49 Å) and four longer (2.51 Å) Pr–O bond lengths. There are three inequivalent Cu+2.17+ sites. In the first Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.24 Å. In the second Cu+2.17+ site, Cu+2.17+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.97–2.23 Å. In the third Cu+2.17+ site, Cu+2.17+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.98 Å) Cu–O bond length. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu+2.17+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms. In the third O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fifth O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.17+ atoms to form a mixture of distorted face, edge, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Nd3+, and two equivalent Cu+2.17+ atoms. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Pr4+, and two equivalent Cu+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li12Mn3CoP4(CO7)4 by Materials Project

Li12Mn3CoP4(CO7)4 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.51 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.59 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 67–90°. There are a spread of Li–O bond distances ranging from 2.05–2.45 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–90°. There are a spread of Li–O bond distances ranging from 2.08–2.45 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–90°. There are a spread of Li–O bond distances ranging from 2.06–2.45 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–87°. There are a spread of Li–O bond distances ranging from 2.06–2.43 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.52 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.51 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.40 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.40 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.40 Å. Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four PO4 tetrahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Co–O bond distances ranging from 2.08–2.29 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–64°. There is three shorter (1.55 Å) and one longer (1.56 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 48–65°. There is three shorter (1.55 Å) and one longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, and corners with six LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–65°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Mn2+, and one C4+ atom. In the second O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Mn2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Mn2+, and one C4+ atom. In the fifth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Mn2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one P5+ atom to form OLi2MnP tetrahedra that share a cornercorner with one OLi2MnP trigonal pyramid and an edgeedge with one OLi3C tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded to two equivalent Li1+, one Co2+, and one P5+ atom to form distorted OLi2CoP tetrahedra that share a cornercorner with one OLi2MnP trigonal pyramid and an edgeedge with one OLi3C tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one P5+ atom to form edge-sharing OLi2MnP tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Co2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one P5+ atom to form OLi2MnP tetrahedra that share corners with two equivalent OLi2MnP trigonal pyramids and an edgeedge with one OLi3C tetrahedra. In the sixteenth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one P5+ atom to form distorted corner-sharing OLi2MnP trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Mn2+, and one C4+ atom. In the twentieth O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Co2+, and one C4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Mn2+, and one C4+ atom. In the twenty-third O2- site, O2- is bonded to three Li1+ and one C4+ atom to form a mixture of corner and edge-sharing OLi3C tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Co2+, and one C4+ atom.

36 MATERIALS SCIENCE↗